messages
listlengths 2
2
| nums
listlengths 4
4
| target
int64 11
200
| search_type
stringclasses 6
values | heuristic
stringclasses 2
values | rating
float64 0.97
1
|
|---|---|---|---|---|---|
[
{
"content": "Given the numbers [156, 37, 173, 160] and the target 49, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 49:[156, 37, 173, 160], Operations: []\nExploring Operation: 160-156=4, Resulting Numbers: [37, 173, 4]\nGenerated Node #0,0: 49:[37, 173, 4] Operation: 160-156=4\nExploring Operation: 173-160=13, Resulting Numbers: [156, 37, 13]\nGenerated Node #0,1: 49:[156, 37, 13] Operation: 173-160=13\nExploring Operation: 173-156=17, Resulting Numbers: [37, 160, 17]\nGenerated Node #0,2: 49:[37, 160, 17] Operation: 173-156=17\nMoving to Node #0,1\nCurrent State: 49:[156, 37, 13], Operations: ['173-160=13']\nExploring Operation: 156-37=119, Resulting Numbers: [13, 119]\nGenerated Node #0,1,0: 49:[13, 119] Operation: 156-37=119\nExploring Operation: 156/13=12, Resulting Numbers: [37, 12]\nGenerated Node #0,1,1: 49:[37, 12] Operation: 156/13=12\nExploring Operation: 156-13=143, Resulting Numbers: [37, 143]\nGenerated Node #0,1,2: 49:[37, 143] Operation: 156-13=143\nMoving to Node #0,2\nCurrent State: 49:[37, 160, 17], Operations: ['173-156=17']\nExploring Operation: 37+17=54, Resulting Numbers: [160, 54]\nGenerated Node #0,2,0: 49:[160, 54] Operation: 37+17=54\nExploring Operation: 160-17=143, Resulting Numbers: [37, 143]\nGenerated Node #0,2,1: 49:[37, 143] Operation: 160-17=143\nExploring Operation: 160-37=123, Resulting Numbers: [17, 123]\nGenerated Node #0,2,2: 49:[17, 123] Operation: 160-37=123\nMoving to Node #0,0\nCurrent State: 49:[37, 173, 4], Operations: ['160-156=4']\nExploring Operation: 37+4=41, Resulting Numbers: [173, 41]\nGenerated Node #0,0,0: 49:[173, 41] Operation: 37+4=41\nExploring Operation: 173-37=136, Resulting Numbers: [4, 136]\nGenerated Node #0,0,1: 49:[4, 136] Operation: 173-37=136\nExploring Operation: 173-4=169, Resulting Numbers: [37, 169]\nGenerated Node #0,0,2: 49:[37, 169] Operation: 173-4=169\nMoving to Node #0,1,1\nCurrent State: 49:[37, 12], Operations: ['173-160=13', '156/13=12']\nExploring Operation: 37+12=49, Resulting Numbers: [49]\n49,49 equal: Goal Reached\nFinal operations:\n173-160=13\n156/13=12\n37+12=49",
"role": "assistant"
}
] |
[
156,
37,
173,
160
] | 49
|
bfs_3
|
sum_heuristic
| 0.987847
|
[
{
"content": "Given the numbers [41, 30, 156, 4] and the target 50, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 50:[41, 30, 156, 4], Operations: []\nExploring Operation: 156/4=39, Resulting Numbers: [41, 30, 39]\nGenerated Node #0,0: 50:[41, 30, 39] Operation: 156/4=39\nMoving to Node #0,0\nCurrent State: 50:[41, 30, 39], Operations: ['156/4=39']\nExploring Operation: 30+39=69, Resulting Numbers: [41, 69]\nGenerated Node #0,0,0: 50:[41, 69] Operation: 30+39=69\nMoving to Node #0,0,0\nCurrent State: 50:[41, 69], Operations: ['156/4=39', '30+39=69']\nExploring Operation: 69-41=28, Resulting Numbers: [28]\n28,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[41, 30, 39], Operations: ['156/4=39']\nExploring Operation: 41+30=71, Resulting Numbers: [39, 71]\nGenerated Node #0,0,1: 50:[39, 71] Operation: 41+30=71\nMoving to Node #0,0,1\nCurrent State: 50:[39, 71], Operations: ['156/4=39', '41+30=71']\nExploring Operation: 71-39=32, Resulting Numbers: [32]\n32,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[41, 30, 39], Operations: ['156/4=39']\nExploring Operation: 41-30=11, Resulting Numbers: [39, 11]\nGenerated Node #0,0,2: 50:[39, 11] Operation: 41-30=11\nMoving to Node #0,0,2\nCurrent State: 50:[39, 11], Operations: ['156/4=39', '41-30=11']\nExploring Operation: 39+11=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached\nFinal operations:\n156/4=39\n41-30=11\n39+11=50",
"role": "assistant"
}
] |
[
41,
30,
156,
4
] | 50
|
dfs
|
sum_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [105, 2, 101, 42] and the target 84, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 84:[105, 2, 101, 42], Operations: []\nExploring Operation: 105-101=4, Resulting Numbers: [2, 42, 4]\nGenerated Node #0,0: 84:[2, 42, 4] Operation: 105-101=4\nMoving to Node #0,0\nCurrent State: 84:[2, 42, 4], Operations: ['105-101=4']\nExploring Operation: 2*42=84, Resulting Numbers: [4, 84]\nGenerated Node #0,0,0: 84:[4, 84] Operation: 2*42=84\nMoving to Node #0,0,0\nCurrent State: 84:[4, 84], Operations: ['105-101=4', '2*42=84']\nExploring Operation: 84/4=21, Resulting Numbers: [21]\n21,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[4, 84], Operations: ['105-101=4', '2*42=84']\nExploring Operation: 4+84=88, Resulting Numbers: [88]\n88,84 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 84:[4, 84], Operations: ['105-101=4', '2*42=84']\nExploring Operation: 84-4=80, Resulting Numbers: [80]\n80,84 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 84:[2, 42, 4], Operations: ['105-101=4']\nExploring Operation: 42/2=21, Resulting Numbers: [4, 21]\nGenerated Node #0,0,1: 84:[4, 21] Operation: 42/2=21\nMoving to Node #0,0,1\nCurrent State: 84:[4, 21], Operations: ['105-101=4', '42/2=21']\nExploring Operation: 4*21=84, Resulting Numbers: [84]\n84,84 equal: Goal Reached\nFinal operations:\n105-101=4\n42/2=21\n4*21=84",
"role": "assistant"
}
] |
[
105,
2,
101,
42
] | 84
|
dfs
|
mult_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [110, 73, 32, 86] and the target 91, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 91:[110, 73, 32, 86], Operations: []\nExploring Operation: 110-32=78, Resulting Numbers: [73, 86, 78]\nGenerated Node #0,0: 91:[73, 86, 78] Operation: 110-32=78\nMoving to Node #0,0\nCurrent State: 91:[73, 86, 78], Operations: ['110-32=78']\nExploring Operation: 73+78=151, Resulting Numbers: [86, 151]\nGenerated Node #0,0,0: 91:[86, 151] Operation: 73+78=151\nMoving to Node #0,0,0\nCurrent State: 91:[86, 151], Operations: ['110-32=78', '73+78=151']\nExploring Operation: 151-86=65, Resulting Numbers: [65]\n65,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[73, 86, 78], Operations: ['110-32=78']\nExploring Operation: 73+86=159, Resulting Numbers: [78, 159]\nGenerated Node #0,0,1: 91:[78, 159] Operation: 73+86=159\nMoving to Node #0,0,1\nCurrent State: 91:[78, 159], Operations: ['110-32=78', '73+86=159']\nExploring Operation: 159-78=81, Resulting Numbers: [81]\n81,91 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 91:[73, 86, 78], Operations: ['110-32=78']\nExploring Operation: 86-73=13, Resulting Numbers: [78, 13]\nGenerated Node #0,0,2: 91:[78, 13] Operation: 86-73=13\nMoving to Node #0,0,2\nCurrent State: 91:[78, 13], Operations: ['110-32=78', '86-73=13']\nExploring Operation: 78+13=91, Resulting Numbers: [91]\n91,91 equal: Goal Reached\nFinal operations:\n110-32=78\n86-73=13\n78+13=91",
"role": "assistant"
}
] |
[
110,
73,
32,
86
] | 91
|
dfs
|
sum_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [15, 99, 18, 53] and the target 149, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 149:[15, 99, 18, 53], Operations: []\nExploring Operation: 15+99=114, Resulting Numbers: [18, 53, 114]\nGenerated Node #0,0: 149:[18, 53, 114] Operation: 15+99=114\nMoving to Node #0,0\nCurrent State: 149:[18, 53, 114], Operations: ['15+99=114']\nExploring Operation: 18+53=71, Resulting Numbers: [114, 71]\nGenerated Node #0,0,0: 149:[114, 71] Operation: 18+53=71\nMoving to Node #0,0,0\nCurrent State: 149:[114, 71], Operations: ['15+99=114', '18+53=71']\nExploring Operation: 114+71=185, Resulting Numbers: [185]\n185,149 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 149:[114, 71], Operations: ['15+99=114', '18+53=71']\nExploring Operation: 114-71=43, Resulting Numbers: [43]\n43,149 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 149:[18, 53, 114], Operations: ['15+99=114']\nExploring Operation: 18+114=132, Resulting Numbers: [53, 132]\nGenerated Node #0,0,1: 149:[53, 132] Operation: 18+114=132\nMoving to Node #0,0,1\nCurrent State: 149:[53, 132], Operations: ['15+99=114', '18+114=132']\nExploring Operation: 53+132=185, Resulting Numbers: [185]\n185,149 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 149:[53, 132], Operations: ['15+99=114', '18+114=132']\nExploring Operation: 132-53=79, Resulting Numbers: [79]\n79,149 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 149:[18, 53, 114], Operations: ['15+99=114']\nExploring Operation: 53-18=35, Resulting Numbers: [114, 35]\nGenerated Node #0,0,2: 149:[114, 35] Operation: 53-18=35\nMoving to Node #0,0,2\nCurrent State: 149:[114, 35], Operations: ['15+99=114', '53-18=35']\nExploring Operation: 114+35=149, Resulting Numbers: [149]\n149,149 equal: Goal Reached\nFinal operations:\n15+99=114\n53-18=35\n114+35=149",
"role": "assistant"
}
] |
[
15,
99,
18,
53
] | 149
|
dfs
|
sum_heuristic
| 0.991319
|
[
{
"content": "Given the numbers [192, 140, 26, 155] and the target 153, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 153:[192, 140, 26, 155], Operations: []\nExploring Operation: 192-140=52, Resulting Numbers: [26, 155, 52]\nGenerated Node #0,0: 153:[26, 155, 52] Operation: 192-140=52\nMoving to Node #0,0\nCurrent State: 153:[26, 155, 52], Operations: ['192-140=52']\nExploring Operation: 52/26=2, Resulting Numbers: [155, 2]\nGenerated Node #0,0,0: 153:[155, 2] Operation: 52/26=2\nMoving to Node #0,0,0\nCurrent State: 153:[155, 2], Operations: ['192-140=52', '52/26=2']\nExploring Operation: 155-2=153, Resulting Numbers: [153]\n153,153 equal: Goal Reached\nFinal operations:\n192-140=52\n52/26=2\n155-2=153",
"role": "assistant"
}
] |
[
192,
140,
26,
155
] | 153
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [118, 78, 100, 70] and the target 70, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 70:[118, 78, 100, 70], Operations: []\nExploring Operation: 118-78=40, Resulting Numbers: [100, 70, 40]\nGenerated Node #0,0: 70:[100, 70, 40] Operation: 118-78=40\nExploring Operation: 118-100=18, Resulting Numbers: [78, 70, 18]\nGenerated Node #0,1: 70:[78, 70, 18] Operation: 118-100=18\nMoving to Node #0,1\nCurrent State: 70:[78, 70, 18], Operations: ['118-100=18']\nExploring Operation: 78-18=60, Resulting Numbers: [70, 60]\nGenerated Node #0,1,0: 70:[70, 60] Operation: 78-18=60\nExploring Operation: 78-70=8, Resulting Numbers: [18, 8]\nGenerated Node #0,1,1: 70:[18, 8] Operation: 78-70=8\nMoving to Node #0,0\nCurrent State: 70:[100, 70, 40], Operations: ['118-78=40']\nExploring Operation: 100-40=60, Resulting Numbers: [70, 60]\nGenerated Node #0,0,0: 70:[70, 60] Operation: 100-40=60\nExploring Operation: 100-70=30, Resulting Numbers: [40, 30]\nGenerated Node #0,0,1: 70:[40, 30] Operation: 100-70=30\nMoving to Node #0,1,1\nCurrent State: 70:[18, 8], Operations: ['118-100=18', '78-70=8']\nExploring Operation: 18+8=26, Resulting Numbers: [26]\n26,70 unequal: No Solution\nExploring Operation: 18-8=10, Resulting Numbers: [10]\n10,70 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 70:[70, 60], Operations: ['118-78=40', '100-40=60']\nExploring Operation: 70-60=10, Resulting Numbers: [10]\n10,70 unequal: No Solution\nExploring Operation: 70+60=130, Resulting Numbers: [130]\n130,70 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 70:[10], Operations: ['118-100=18', '78-70=8', '18-8=10']\nMoving to Node #0,0,0,0\nCurrent State: 70:[10], Operations: ['118-78=40', '100-40=60', '70-60=10']\nMoving to Node #0,1,1,0\nCurrent State: 70:[26], Operations: ['118-100=18', '78-70=8', '18+8=26']\nMoving to Node #0,1,0\nCurrent State: 70:[70, 60], Operations: ['118-100=18', '78-18=60']\nExploring Operation: 70-60=10, Resulting Numbers: [10]\n10,70 unequal: No Solution\nExploring Operation: 70+60=130, Resulting Numbers: [130]\n130,70 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 70:[10], Operations: ['118-100=18', '78-18=60', '70-60=10']\nMoving to Node #0,0,1\nCurrent State: 70:[40, 30], Operations: ['118-78=40', '100-70=30']\nExploring Operation: 40+30=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached\nFinal operations:\n118-78=40\n100-70=30\n40+30=70",
"role": "assistant"
}
] |
[
118,
78,
100,
70
] | 70
|
bfs_2
|
mult_heuristic
| 0.987847
|
[
{
"content": "Given the numbers [161, 90, 120, 170] and the target 130, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 130:[161, 90, 120, 170], Operations: []\nExploring Operation: 170-161=9, Resulting Numbers: [90, 120, 9]\nGenerated Node #0,0: 130:[90, 120, 9] Operation: 170-161=9\nMoving to Node #0,0\nCurrent State: 130:[90, 120, 9], Operations: ['170-161=9']\nExploring Operation: 120-90=30, Resulting Numbers: [9, 30]\nGenerated Node #0,0,0: 130:[9, 30] Operation: 120-90=30\nMoving to Node #0,0,0\nCurrent State: 130:[9, 30], Operations: ['170-161=9', '120-90=30']\nExploring Operation: 30-9=21, Resulting Numbers: [21]\n21,130 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 130:[9, 30], Operations: ['170-161=9', '120-90=30']\nExploring Operation: 9+30=39, Resulting Numbers: [39]\n39,130 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 130:[90, 120, 9], Operations: ['170-161=9']\nExploring Operation: 90/9=10, Resulting Numbers: [120, 10]\nGenerated Node #0,0,1: 130:[120, 10] Operation: 90/9=10\nMoving to Node #0,0,1\nCurrent State: 130:[120, 10], Operations: ['170-161=9', '90/9=10']\nExploring Operation: 120+10=130, Resulting Numbers: [130]\n130,130 equal: Goal Reached\nFinal operations:\n170-161=9\n90/9=10\n120+10=130",
"role": "assistant"
}
] |
[
161,
90,
120,
170
] | 130
|
dfs
|
mult_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [111, 50, 190, 170] and the target 41, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 41:[111, 50, 190, 170], Operations: []\nExploring Operation: 190-111=79, Resulting Numbers: [50, 170, 79]\nGenerated Node #0,0: 41:[50, 170, 79] Operation: 190-111=79\nExploring Operation: 170-111=59, Resulting Numbers: [50, 190, 59]\nGenerated Node #0,1: 41:[50, 190, 59] Operation: 170-111=59\nExploring Operation: 190-170=20, Resulting Numbers: [111, 50, 20]\nGenerated Node #0,2: 41:[111, 50, 20] Operation: 190-170=20\nMoving to Node #0,2\nCurrent State: 41:[111, 50, 20], Operations: ['190-170=20']\nExploring Operation: 111-50=61, Resulting Numbers: [20, 61]\nGenerated Node #0,2,0: 41:[20, 61] Operation: 111-50=61\nExploring Operation: 111-20=91, Resulting Numbers: [50, 91]\nGenerated Node #0,2,1: 41:[50, 91] Operation: 111-20=91\nExploring Operation: 50-20=30, Resulting Numbers: [111, 30]\nGenerated Node #0,2,2: 41:[111, 30] Operation: 50-20=30\nMoving to Node #0,0\nCurrent State: 41:[50, 170, 79], Operations: ['190-111=79']\nExploring Operation: 170-50=120, Resulting Numbers: [79, 120]\nGenerated Node #0,0,0: 41:[79, 120] Operation: 170-50=120\nExploring Operation: 79-50=29, Resulting Numbers: [170, 29]\nGenerated Node #0,0,1: 41:[170, 29] Operation: 79-50=29\nExploring Operation: 170-79=91, Resulting Numbers: [50, 91]\nGenerated Node #0,0,2: 41:[50, 91] Operation: 170-79=91\nMoving to Node #0,1\nCurrent State: 41:[50, 190, 59], Operations: ['170-111=59']\nExploring Operation: 190-50=140, Resulting Numbers: [59, 140]\nGenerated Node #0,1,0: 41:[59, 140] Operation: 190-50=140\nExploring Operation: 190-59=131, Resulting Numbers: [50, 131]\nGenerated Node #0,1,1: 41:[50, 131] Operation: 190-59=131\nExploring Operation: 59-50=9, Resulting Numbers: [190, 9]\nGenerated Node #0,1,2: 41:[190, 9] Operation: 59-50=9\nMoving to Node #0,2,0\nCurrent State: 41:[20, 61], Operations: ['190-170=20', '111-50=61']\nExploring Operation: 20*61=1220, Resulting Numbers: [1220]\n1220,41 unequal: No Solution\nExploring Operation: 61-20=41, Resulting Numbers: [41]\n41,41 equal: Goal Reached\nFinal operations:\n190-170=20\n111-50=61\n61-20=41",
"role": "assistant"
}
] |
[
111,
50,
190,
170
] | 41
|
bfs_3
|
mult_heuristic
| 0.986979
|
[
{
"content": "Given the numbers [17, 156, 20, 4] and the target 155, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 155:[17, 156, 20, 4], Operations: []\nExploring Operation: 20-17=3, Resulting Numbers: [156, 4, 3]\nGenerated Node #0,0: 155:[156, 4, 3] Operation: 20-17=3\nMoving to Node #0,0\nCurrent State: 155:[156, 4, 3], Operations: ['20-17=3']\nExploring Operation: 156-3=153, Resulting Numbers: [4, 153]\nGenerated Node #0,0,0: 155:[4, 153] Operation: 156-3=153\nMoving to Node #0,0,0\nCurrent State: 155:[4, 153], Operations: ['20-17=3', '156-3=153']\nExploring Operation: 4+153=157, Resulting Numbers: [157]\n157,155 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 155:[4, 153], Operations: ['20-17=3', '156-3=153']\nExploring Operation: 153-4=149, Resulting Numbers: [149]\n149,155 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 155:[156, 4, 3], Operations: ['20-17=3']\nExploring Operation: 4+3=7, Resulting Numbers: [156, 7]\nGenerated Node #0,0,1: 155:[156, 7] Operation: 4+3=7\nMoving to Node #0,0,1\nCurrent State: 155:[156, 7], Operations: ['20-17=3', '4+3=7']\nExploring Operation: 156-7=149, Resulting Numbers: [149]\n149,155 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 155:[156, 7], Operations: ['20-17=3', '4+3=7']\nExploring Operation: 156+7=163, Resulting Numbers: [163]\n163,155 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 155:[156, 4, 3], Operations: ['20-17=3']\nExploring Operation: 156-4=152, Resulting Numbers: [3, 152]\nGenerated Node #0,0,2: 155:[3, 152] Operation: 156-4=152\nMoving to Node #0,0,2\nCurrent State: 155:[3, 152], Operations: ['20-17=3', '156-4=152']\nExploring Operation: 3+152=155, Resulting Numbers: [155]\n155,155 equal: Goal Reached\nFinal operations:\n20-17=3\n156-4=152\n3+152=155",
"role": "assistant"
}
] |
[
17,
156,
20,
4
] | 155
|
dfs
|
mult_heuristic
| 0.991319
|
[
{
"content": "Given the numbers [192, 25, 18, 164] and the target 71, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 71:[192, 25, 18, 164], Operations: []\nExploring Operation: 192-18=174, Resulting Numbers: [25, 164, 174]\nGenerated Node #0,0: 71:[25, 164, 174] Operation: 192-18=174\nExploring Operation: 192-25=167, Resulting Numbers: [18, 164, 167]\nGenerated Node #0,1: 71:[18, 164, 167] Operation: 192-25=167\nExploring Operation: 192-164=28, Resulting Numbers: [25, 18, 28]\nGenerated Node #0,2: 71:[25, 18, 28] Operation: 192-164=28\nMoving to Node #0,2\nCurrent State: 71:[25, 18, 28], Operations: ['192-164=28']\nExploring Operation: 25+28=53, Resulting Numbers: [18, 53]\nGenerated Node #0,2,0: 71:[18, 53] Operation: 25+28=53\nExploring Operation: 25+18=43, Resulting Numbers: [28, 43]\nGenerated Node #0,2,1: 71:[28, 43] Operation: 25+18=43\nExploring Operation: 18+28=46, Resulting Numbers: [25, 46]\nGenerated Node #0,2,2: 71:[25, 46] Operation: 18+28=46\nMoving to Node #0,0\nCurrent State: 71:[25, 164, 174], Operations: ['192-18=174']\nExploring Operation: 174-25=149, Resulting Numbers: [164, 149]\nGenerated Node #0,0,0: 71:[164, 149] Operation: 174-25=149\nExploring Operation: 164-25=139, Resulting Numbers: [174, 139]\nGenerated Node #0,0,1: 71:[174, 139] Operation: 164-25=139\nExploring Operation: 174-164=10, Resulting Numbers: [25, 10]\nGenerated Node #0,0,2: 71:[25, 10] Operation: 174-164=10\nMoving to Node #0,1\nCurrent State: 71:[18, 164, 167], Operations: ['192-25=167']\nExploring Operation: 167-18=149, Resulting Numbers: [164, 149]\nGenerated Node #0,1,0: 71:[164, 149] Operation: 167-18=149\nExploring Operation: 167-164=3, Resulting Numbers: [18, 3]\nGenerated Node #0,1,1: 71:[18, 3] Operation: 167-164=3\nExploring Operation: 164-18=146, Resulting Numbers: [167, 146]\nGenerated Node #0,1,2: 71:[167, 146] Operation: 164-18=146\nMoving to Node #0,2,0\nCurrent State: 71:[18, 53], Operations: ['192-164=28', '25+28=53']\nExploring Operation: 53-18=35, Resulting Numbers: [35]\n35,71 unequal: No Solution\nExploring Operation: 18+53=71, Resulting Numbers: [71]\n71,71 equal: Goal Reached\nFinal operations:\n192-164=28\n25+28=53\n18+53=71",
"role": "assistant"
}
] |
[
192,
25,
18,
164
] | 71
|
bfs_3
|
sum_heuristic
| 0.986979
|
[
{
"content": "Given the numbers [109, 50, 115, 81] and the target 37, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 37:[109, 50, 115, 81], Operations: []\nExploring Operation: 115-109=6, Resulting Numbers: [50, 81, 6]\nGenerated Node #0,0: 37:[50, 81, 6] Operation: 115-109=6\nMoving to Node #0,0\nCurrent State: 37:[50, 81, 6], Operations: ['115-109=6']\nExploring Operation: 81-50=31, Resulting Numbers: [6, 31]\nGenerated Node #0,0,0: 37:[6, 31] Operation: 81-50=31\nMoving to Node #0,0,0\nCurrent State: 37:[6, 31], Operations: ['115-109=6', '81-50=31']\nExploring Operation: 6+31=37, Resulting Numbers: [37]\n37,37 equal: Goal Reached\nFinal operations:\n115-109=6\n81-50=31\n6+31=37",
"role": "assistant"
}
] |
[
109,
50,
115,
81
] | 37
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [11, 182, 11, 43] and the target 117, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 117:[11, 182, 11, 43], Operations: []\nExploring Operation: 182-43=139, Resulting Numbers: [11, 11, 139]\nGenerated Node #0,0: 117:[11, 11, 139] Operation: 182-43=139\nMoving to Node #0,0\nCurrent State: 117:[11, 11, 139], Operations: ['182-43=139']\nExploring Operation: 139-11=128, Resulting Numbers: [11, 128]\nGenerated Node #0,0,0: 117:[11, 128] Operation: 139-11=128\nMoving to Node #0,0,0\nCurrent State: 117:[11, 128], Operations: ['182-43=139', '139-11=128']\nExploring Operation: 128-11=117, Resulting Numbers: [117]\n117,117 equal: Goal Reached\nFinal operations:\n182-43=139\n139-11=128\n128-11=117",
"role": "assistant"
}
] |
[
11,
182,
11,
43
] | 117
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [121, 105, 137, 20] and the target 101, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 101:[121, 105, 137, 20], Operations: []\nExploring Operation: 105-20=85, Resulting Numbers: [121, 137, 85]\nGenerated Node #0,0: 101:[121, 137, 85] Operation: 105-20=85\nExploring Operation: 121-20=101, Resulting Numbers: [105, 137, 101]\nGenerated Node #0,1: 101:[105, 137, 101] Operation: 121-20=101\nExploring Operation: 137-20=117, Resulting Numbers: [121, 105, 117]\nGenerated Node #0,2: 101:[121, 105, 117] Operation: 137-20=117\nMoving to Node #0,1\nCurrent State: 101:[105, 137, 101], Operations: ['121-20=101']\nExploring Operation: 105-101=4, Resulting Numbers: [137, 4]\nGenerated Node #0,1,0: 101:[137, 4] Operation: 105-101=4\nExploring Operation: 137-101=36, Resulting Numbers: [105, 36]\nGenerated Node #0,1,1: 101:[105, 36] Operation: 137-101=36\nExploring Operation: 137-105=32, Resulting Numbers: [101, 32]\nGenerated Node #0,1,2: 101:[101, 32] Operation: 137-105=32\nMoving to Node #0,2\nCurrent State: 101:[121, 105, 117], Operations: ['137-20=117']\nExploring Operation: 121-105=16, Resulting Numbers: [117, 16]\nGenerated Node #0,2,0: 101:[117, 16] Operation: 121-105=16\nExploring Operation: 121-117=4, Resulting Numbers: [105, 4]\nGenerated Node #0,2,1: 101:[105, 4] Operation: 121-117=4\nExploring Operation: 117-105=12, Resulting Numbers: [121, 12]\nGenerated Node #0,2,2: 101:[121, 12] Operation: 117-105=12\nMoving to Node #0,0\nCurrent State: 101:[121, 137, 85], Operations: ['105-20=85']\nExploring Operation: 121-85=36, Resulting Numbers: [137, 36]\nGenerated Node #0,0,0: 101:[137, 36] Operation: 121-85=36\nExploring Operation: 137-121=16, Resulting Numbers: [85, 16]\nGenerated Node #0,0,1: 101:[85, 16] Operation: 137-121=16\nExploring Operation: 137-85=52, Resulting Numbers: [121, 52]\nGenerated Node #0,0,2: 101:[121, 52] Operation: 137-85=52\nMoving to Node #0,1,1\nCurrent State: 101:[105, 36], Operations: ['121-20=101', '137-101=36']\nExploring Operation: 105+36=141, Resulting Numbers: [141]\n141,101 unequal: No Solution\nExploring Operation: 105-36=69, Resulting Numbers: [69]\n69,101 unequal: No Solution\nExploring Operation: 105*36=3780, Resulting Numbers: [3780]\n3780,101 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 101:[121, 52], Operations: ['105-20=85', '137-85=52']\nExploring Operation: 121-52=69, Resulting Numbers: [69]\n69,101 unequal: No Solution\nExploring Operation: 121+52=173, Resulting Numbers: [173]\n173,101 unequal: No Solution\nExploring Operation: 121*52=6292, Resulting Numbers: [6292]\n6292,101 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 101:[101, 32], Operations: ['121-20=101', '137-105=32']\nExploring Operation: 101+32=133, Resulting Numbers: [133]\n133,101 unequal: No Solution\nExploring Operation: 101-32=69, Resulting Numbers: [69]\n69,101 unequal: No Solution\nExploring Operation: 101*32=3232, Resulting Numbers: [3232]\n3232,101 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 101:[69], Operations: ['121-20=101', '137-101=36', '105-36=69']\nMoving to Node #0,1,2,0\nCurrent State: 101:[133], Operations: ['121-20=101', '137-105=32', '101+32=133']\nMoving to Node #0,1,2,0\nCurrent State: 101:[69], Operations: ['121-20=101', '137-105=32', '101-32=69']\nMoving to Node #0,0,2,0\nCurrent State: 101:[69], Operations: ['105-20=85', '137-85=52', '121-52=69']\nMoving to Node #0,1,1,0\nCurrent State: 101:[141], Operations: ['121-20=101', '137-101=36', '105+36=141']\nMoving to Node #0,0,2,0\nCurrent State: 101:[173], Operations: ['105-20=85', '137-85=52', '121+52=173']\nMoving to Node #0,0,1\nCurrent State: 101:[85, 16], Operations: ['105-20=85', '137-121=16']\nExploring Operation: 85-16=69, Resulting Numbers: [69]\n69,101 unequal: No Solution\nExploring Operation: 85+16=101, Resulting Numbers: [101]\n101,101 equal: Goal Reached\nFinal operations:\n105-20=85\n137-121=16\n85+16=101",
"role": "assistant"
}
] |
[
121,
105,
137,
20
] | 101
|
bfs_3
|
mult_heuristic
| 0.979167
|
[
{
"content": "Given the numbers [132, 115, 26, 70] and the target 27, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 27:[132, 115, 26, 70], Operations: []\nExploring Operation: 132-70=62, Resulting Numbers: [115, 26, 62]\nGenerated Node #0,0: 27:[115, 26, 62] Operation: 132-70=62\nExploring Operation: 132-115=17, Resulting Numbers: [26, 70, 17]\nGenerated Node #0,1: 27:[26, 70, 17] Operation: 132-115=17\nExploring Operation: 115-70=45, Resulting Numbers: [132, 26, 45]\nGenerated Node #0,2: 27:[132, 26, 45] Operation: 115-70=45\nExploring Operation: 132-26=106, Resulting Numbers: [115, 70, 106]\nGenerated Node #0,3: 27:[115, 70, 106] Operation: 132-26=106\nMoving to Node #0,1\nCurrent State: 27:[26, 70, 17], Operations: ['132-115=17']\nExploring Operation: 70-17=53, Resulting Numbers: [26, 53]\nGenerated Node #0,1,0: 27:[26, 53] Operation: 70-17=53\nExploring Operation: 70-26=44, Resulting Numbers: [17, 44]\nGenerated Node #0,1,1: 27:[17, 44] Operation: 70-26=44\nExploring Operation: 26+17=43, Resulting Numbers: [70, 43]\nGenerated Node #0,1,2: 27:[70, 43] Operation: 26+17=43\nExploring Operation: 26-17=9, Resulting Numbers: [70, 9]\nGenerated Node #0,1,3: 27:[70, 9] Operation: 26-17=9\nMoving to Node #0,2\nCurrent State: 27:[132, 26, 45], Operations: ['115-70=45']\nExploring Operation: 132-45=87, Resulting Numbers: [26, 87]\nGenerated Node #0,2,0: 27:[26, 87] Operation: 132-45=87\nExploring Operation: 132-26=106, Resulting Numbers: [45, 106]\nGenerated Node #0,2,1: 27:[45, 106] Operation: 132-26=106\nExploring Operation: 132+26=158, Resulting Numbers: [45, 158]\nGenerated Node #0,2,2: 27:[45, 158] Operation: 132+26=158\nExploring Operation: 45-26=19, Resulting Numbers: [132, 19]\nGenerated Node #0,2,3: 27:[132, 19] Operation: 45-26=19\nMoving to Node #0,0\nCurrent State: 27:[115, 26, 62], Operations: ['132-70=62']\nExploring Operation: 115+26=141, Resulting Numbers: [62, 141]\nGenerated Node #0,0,0: 27:[62, 141] Operation: 115+26=141\nExploring Operation: 62-26=36, Resulting Numbers: [115, 36]\nGenerated Node #0,0,1: 27:[115, 36] Operation: 62-26=36\nExploring Operation: 115-62=53, Resulting Numbers: [26, 53]\nGenerated Node #0,0,2: 27:[26, 53] Operation: 115-62=53\nExploring Operation: 115-26=89, Resulting Numbers: [62, 89]\nGenerated Node #0,0,3: 27:[62, 89] Operation: 115-26=89\nMoving to Node #0,3\nCurrent State: 27:[115, 70, 106], Operations: ['132-26=106']\nExploring Operation: 115-106=9, Resulting Numbers: [70, 9]\nGenerated Node #0,3,0: 27:[70, 9] Operation: 115-106=9\nExploring Operation: 115-70=45, Resulting Numbers: [106, 45]\nGenerated Node #0,3,1: 27:[106, 45] Operation: 115-70=45\nExploring Operation: 106-70=36, Resulting Numbers: [115, 36]\nGenerated Node #0,3,2: 27:[115, 36] Operation: 106-70=36\nExploring Operation: 115+70=185, Resulting Numbers: [106, 185]\nGenerated Node #0,3,3: 27:[106, 185] Operation: 115+70=185\nMoving to Node #0,1,1\nCurrent State: 27:[17, 44], Operations: ['132-115=17', '70-26=44']\nExploring Operation: 44-17=27, Resulting Numbers: [27]\n27,27 equal: Goal Reached\nFinal operations:\n132-115=17\n70-26=44\n44-17=27",
"role": "assistant"
}
] |
[
132,
115,
26,
70
] | 27
|
bfs_4
|
mult_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [142, 100, 168, 1] and the target 125, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 125:[142, 100, 168, 1], Operations: []\nExploring Operation: 168-142=26, Resulting Numbers: [100, 1, 26]\nGenerated Node #0,0: 125:[100, 1, 26] Operation: 168-142=26\nMoving to Node #0,0\nCurrent State: 125:[100, 1, 26], Operations: ['168-142=26']\nExploring Operation: 100+26=126, Resulting Numbers: [1, 126]\nGenerated Node #0,0,0: 125:[1, 126] Operation: 100+26=126\nMoving to Node #0,0,0\nCurrent State: 125:[1, 126], Operations: ['168-142=26', '100+26=126']\nExploring Operation: 126-1=125, Resulting Numbers: [125]\n125,125 equal: Goal Reached\nFinal operations:\n168-142=26\n100+26=126\n126-1=125",
"role": "assistant"
}
] |
[
142,
100,
168,
1
] | 125
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [34, 129, 48, 75] and the target 68, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 68:[34, 129, 48, 75], Operations: []\nExploring Operation: 129-34=95, Resulting Numbers: [48, 75, 95]\nGenerated Node #0,0: 68:[48, 75, 95] Operation: 129-34=95\nExploring Operation: 129-48=81, Resulting Numbers: [34, 75, 81]\nGenerated Node #0,1: 68:[34, 75, 81] Operation: 129-48=81\nMoving to Node #0,0\nCurrent State: 68:[48, 75, 95], Operations: ['129-34=95']\nExploring Operation: 95-48=47, Resulting Numbers: [75, 47]\nGenerated Node #0,0,0: 68:[75, 47] Operation: 95-48=47\nExploring Operation: 75-48=27, Resulting Numbers: [95, 27]\nGenerated Node #0,0,1: 68:[95, 27] Operation: 75-48=27\nMoving to Node #0,1\nCurrent State: 68:[34, 75, 81], Operations: ['129-48=81']\nExploring Operation: 75-34=41, Resulting Numbers: [81, 41]\nGenerated Node #0,1,0: 68:[81, 41] Operation: 75-34=41\nExploring Operation: 81-34=47, Resulting Numbers: [75, 47]\nGenerated Node #0,1,1: 68:[75, 47] Operation: 81-34=47\nMoving to Node #0,0,0\nCurrent State: 68:[75, 47], Operations: ['129-34=95', '95-48=47']\nExploring Operation: 75+47=122, Resulting Numbers: [122]\n122,68 unequal: No Solution\nExploring Operation: 75-47=28, Resulting Numbers: [28]\n28,68 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 68:[75, 47], Operations: ['129-48=81', '81-34=47']\nExploring Operation: 75+47=122, Resulting Numbers: [122]\n122,68 unequal: No Solution\nExploring Operation: 75-47=28, Resulting Numbers: [28]\n28,68 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 68:[81, 41], Operations: ['129-48=81', '75-34=41']\nExploring Operation: 81+41=122, Resulting Numbers: [122]\n122,68 unequal: No Solution\nExploring Operation: 81-41=40, Resulting Numbers: [40]\n40,68 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 68:[95, 27], Operations: ['129-34=95', '75-48=27']\nExploring Operation: 95-27=68, Resulting Numbers: [68]\n68,68 equal: Goal Reached\nFinal operations:\n129-34=95\n75-48=27\n95-27=68",
"role": "assistant"
}
] |
[
34,
129,
48,
75
] | 68
|
bfs_2
|
sum_heuristic
| 0.987847
|
[
{
"content": "Given the numbers [136, 29, 90, 90] and the target 106, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 106:[136, 29, 90, 90], Operations: []\nExploring Operation: 136-29=107, Resulting Numbers: [90, 90, 107]\nGenerated Node #0,0: 106:[90, 90, 107] Operation: 136-29=107\nMoving to Node #0,0\nCurrent State: 106:[90, 90, 107], Operations: ['136-29=107']\nExploring Operation: 90+90=180, Resulting Numbers: [107, 180]\nGenerated Node #0,0,0: 106:[107, 180] Operation: 90+90=180\nMoving to Node #0,0,0\nCurrent State: 106:[107, 180], Operations: ['136-29=107', '90+90=180']\nExploring Operation: 180-107=73, Resulting Numbers: [73]\n73,106 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 106:[90, 90, 107], Operations: ['136-29=107']\nExploring Operation: 107-90=17, Resulting Numbers: [90, 17]\nGenerated Node #0,0,1: 106:[90, 17] Operation: 107-90=17\nMoving to Node #0,0,1\nCurrent State: 106:[90, 17], Operations: ['136-29=107', '107-90=17']\nExploring Operation: 90+17=107, Resulting Numbers: [107]\n107,106 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 106:[90, 17], Operations: ['136-29=107', '107-90=17']\nExploring Operation: 90-17=73, Resulting Numbers: [73]\n73,106 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 106:[90, 90, 107], Operations: ['136-29=107']\nExploring Operation: 107-90=17, Resulting Numbers: [90, 17]\nGenerated Node #0,0,2: 106:[90, 17] Operation: 107-90=17\nMoving to Node #0,0,2\nCurrent State: 106:[90, 17], Operations: ['136-29=107', '107-90=17']\nExploring Operation: 90+17=107, Resulting Numbers: [107]\n107,106 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 106:[90, 17], Operations: ['136-29=107', '107-90=17']\nExploring Operation: 90-17=73, Resulting Numbers: [73]\n73,106 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 106:[90, 90, 107], Operations: ['136-29=107']\nExploring Operation: 90/90=1, Resulting Numbers: [107, 1]\nGenerated Node #0,0,3: 106:[107, 1] Operation: 90/90=1\nMoving to Node #0,0,3\nCurrent State: 106:[107, 1], Operations: ['136-29=107', '90/90=1']\nExploring Operation: 107-1=106, Resulting Numbers: [106]\n106,106 equal: Goal Reached\nFinal operations:\n136-29=107\n90/90=1\n107-1=106",
"role": "assistant"
}
] |
[
136,
29,
90,
90
] | 106
|
dfs
|
sum_heuristic
| 0.989583
|
[
{
"content": "Given the numbers [29, 164, 114, 13] and the target 66, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 66:[29, 164, 114, 13], Operations: []\nExploring Operation: 164-114=50, Resulting Numbers: [29, 13, 50]\nGenerated Node #0,0: 66:[29, 13, 50] Operation: 164-114=50\nExploring Operation: 114-29=85, Resulting Numbers: [164, 13, 85]\nGenerated Node #0,1: 66:[164, 13, 85] Operation: 114-29=85\nExploring Operation: 164-29=135, Resulting Numbers: [114, 13, 135]\nGenerated Node #0,2: 66:[114, 13, 135] Operation: 164-29=135\nMoving to Node #0,0\nCurrent State: 66:[29, 13, 50], Operations: ['164-114=50']\nExploring Operation: 13+50=63, Resulting Numbers: [29, 63]\nGenerated Node #0,0,0: 66:[29, 63] Operation: 13+50=63\nExploring Operation: 50-13=37, Resulting Numbers: [29, 37]\nGenerated Node #0,0,1: 66:[29, 37] Operation: 50-13=37\nExploring Operation: 50-29=21, Resulting Numbers: [13, 21]\nGenerated Node #0,0,2: 66:[13, 21] Operation: 50-29=21\nMoving to Node #0,1\nCurrent State: 66:[164, 13, 85], Operations: ['114-29=85']\nExploring Operation: 85-13=72, Resulting Numbers: [164, 72]\nGenerated Node #0,1,0: 66:[164, 72] Operation: 85-13=72\nExploring Operation: 164-85=79, Resulting Numbers: [13, 79]\nGenerated Node #0,1,1: 66:[13, 79] Operation: 164-85=79\nExploring Operation: 164-13=151, Resulting Numbers: [85, 151]\nGenerated Node #0,1,2: 66:[85, 151] Operation: 164-13=151\nMoving to Node #0,2\nCurrent State: 66:[114, 13, 135], Operations: ['164-29=135']\nExploring Operation: 135-114=21, Resulting Numbers: [13, 21]\nGenerated Node #0,2,0: 66:[13, 21] Operation: 135-114=21\nExploring Operation: 135-13=122, Resulting Numbers: [114, 122]\nGenerated Node #0,2,1: 66:[114, 122] Operation: 135-13=122\nExploring Operation: 114-13=101, Resulting Numbers: [135, 101]\nGenerated Node #0,2,2: 66:[135, 101] Operation: 114-13=101\nMoving to Node #0,0,2\nCurrent State: 66:[13, 21], Operations: ['164-114=50', '50-29=21']\nExploring Operation: 13+21=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nExploring Operation: 13*21=273, Resulting Numbers: [273]\n273,66 unequal: No Solution\nExploring Operation: 21-13=8, Resulting Numbers: [8]\n8,66 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 66:[13, 21], Operations: ['164-29=135', '135-114=21']\nExploring Operation: 21-13=8, Resulting Numbers: [8]\n8,66 unequal: No Solution\nExploring Operation: 13+21=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nExploring Operation: 13*21=273, Resulting Numbers: [273]\n273,66 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 66:[29, 63], Operations: ['164-114=50', '13+50=63']\nExploring Operation: 29+63=92, Resulting Numbers: [92]\n92,66 unequal: No Solution\nExploring Operation: 29*63=1827, Resulting Numbers: [1827]\n1827,66 unequal: No Solution\nExploring Operation: 63-29=34, Resulting Numbers: [34]\n34,66 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 66:[34], Operations: ['164-114=50', '50-29=21', '13+21=34']\nMoving to Node #0,0,0,0\nCurrent State: 66:[34], Operations: ['164-114=50', '13+50=63', '63-29=34']\nMoving to Node #0,2,0,0\nCurrent State: 66:[34], Operations: ['164-29=135', '135-114=21', '13+21=34']\nMoving to Node #0,0,2,0\nCurrent State: 66:[8], Operations: ['164-114=50', '50-29=21', '21-13=8']\nMoving to Node #0,2,0,0\nCurrent State: 66:[8], Operations: ['164-29=135', '135-114=21', '21-13=8']\nMoving to Node #0,0,1\nCurrent State: 66:[29, 37], Operations: ['164-114=50', '50-13=37']\nExploring Operation: 29+37=66, Resulting Numbers: [66]\n66,66 equal: Goal Reached\nFinal operations:\n164-114=50\n50-13=37\n29+37=66",
"role": "assistant"
}
] |
[
29,
164,
114,
13
] | 66
|
bfs_3
|
mult_heuristic
| 0.980035
|
[
{
"content": "Given the numbers [102, 76, 26, 158] and the target 158, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 158:[102, 76, 26, 158], Operations: []\nExploring Operation: 102-26=76, Resulting Numbers: [76, 158, 76]\nGenerated Node #0,0: 158:[76, 158, 76] Operation: 102-26=76\nMoving to Node #0,0\nCurrent State: 158:[76, 158, 76], Operations: ['102-26=76']\nExploring Operation: 76/76=1, Resulting Numbers: [158, 1]\nGenerated Node #0,0,0: 158:[158, 1] Operation: 76/76=1\nMoving to Node #0,0,0\nCurrent State: 158:[158, 1], Operations: ['102-26=76', '76/76=1']\nExploring Operation: 158*1=158, Resulting Numbers: [158]\n158,158 equal: Goal Reached\nFinal operations:\n102-26=76\n76/76=1\n158*1=158",
"role": "assistant"
}
] |
[
102,
76,
26,
158
] | 158
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [104, 65, 126, 93] and the target 50, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 50:[104, 65, 126, 93], Operations: []\nExploring Operation: 126-104=22, Resulting Numbers: [65, 93, 22]\nGenerated Node #0,0: 50:[65, 93, 22] Operation: 126-104=22\nMoving to Node #0,0\nCurrent State: 50:[65, 93, 22], Operations: ['126-104=22']\nExploring Operation: 93-22=71, Resulting Numbers: [65, 71]\nGenerated Node #0,0,0: 50:[65, 71] Operation: 93-22=71\nMoving to Node #0,0,0\nCurrent State: 50:[65, 71], Operations: ['126-104=22', '93-22=71']\nExploring Operation: 71-65=6, Resulting Numbers: [6]\n6,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[65, 93, 22], Operations: ['126-104=22']\nExploring Operation: 93-65=28, Resulting Numbers: [22, 28]\nGenerated Node #0,0,1: 50:[22, 28] Operation: 93-65=28\nMoving to Node #0,0,1\nCurrent State: 50:[22, 28], Operations: ['126-104=22', '93-65=28']\nExploring Operation: 22+28=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached\nFinal operations:\n126-104=22\n93-65=28\n22+28=50",
"role": "assistant"
}
] |
[
104,
65,
126,
93
] | 50
|
dfs
|
sum_heuristic
| 0.994792
|
[
{
"content": "Given the numbers [192, 144, 16, 136] and the target 72, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 72:[192, 144, 16, 136], Operations: []\nExploring Operation: 192-144=48, Resulting Numbers: [16, 136, 48]\nGenerated Node #0,0: 72:[16, 136, 48] Operation: 192-144=48\nMoving to Node #0,0\nCurrent State: 72:[16, 136, 48], Operations: ['192-144=48']\nExploring Operation: 136-16=120, Resulting Numbers: [48, 120]\nGenerated Node #0,0,0: 72:[48, 120] Operation: 136-16=120\nMoving to Node #0,0,0\nCurrent State: 72:[48, 120], Operations: ['192-144=48', '136-16=120']\nExploring Operation: 120-48=72, Resulting Numbers: [72]\n72,72 equal: Goal Reached\nFinal operations:\n192-144=48\n136-16=120\n120-48=72",
"role": "assistant"
}
] |
[
192,
144,
16,
136
] | 72
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [2, 179, 178, 35] and the target 71, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 71:[2, 179, 178, 35], Operations: []\nExploring Operation: 178/2=89, Resulting Numbers: [179, 35, 89]\nGenerated Node #0,0: 71:[179, 35, 89] Operation: 178/2=89\nMoving to Node #0,0\nCurrent State: 71:[179, 35, 89], Operations: ['178/2=89']\nExploring Operation: 179-89=90, Resulting Numbers: [35, 90]\nGenerated Node #0,0,0: 71:[35, 90] Operation: 179-89=90\nMoving to Node #0,0,0\nCurrent State: 71:[35, 90], Operations: ['178/2=89', '179-89=90']\nExploring Operation: 90-35=55, Resulting Numbers: [55]\n55,71 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 71:[35, 90], Operations: ['178/2=89', '179-89=90']\nExploring Operation: 35+90=125, Resulting Numbers: [125]\n125,71 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 71:[179, 35, 89], Operations: ['178/2=89']\nExploring Operation: 179-35=144, Resulting Numbers: [89, 144]\nGenerated Node #0,0,1: 71:[89, 144] Operation: 179-35=144\nMoving to Node #0,0,1\nCurrent State: 71:[89, 144], Operations: ['178/2=89', '179-35=144']\nExploring Operation: 144-89=55, Resulting Numbers: [55]\n55,71 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 71:[179, 35, 89], Operations: ['178/2=89']\nExploring Operation: 89-35=54, Resulting Numbers: [179, 54]\nGenerated Node #0,0,2: 71:[179, 54] Operation: 89-35=54\nMoving to Node #0,0,2\nCurrent State: 71:[179, 54], Operations: ['178/2=89', '89-35=54']\nExploring Operation: 179-54=125, Resulting Numbers: [125]\n125,71 unequal: No Solution\nMoving to Node #0\nCurrent State: 71:[2, 179, 178, 35], Operations: []\nExploring Operation: 179-178=1, Resulting Numbers: [2, 35, 1]\nGenerated Node #0,1: 71:[2, 35, 1] Operation: 179-178=1\nMoving to Node #0,1\nCurrent State: 71:[2, 35, 1], Operations: ['179-178=1']\nExploring Operation: 2*35=70, Resulting Numbers: [1, 70]\nGenerated Node #0,1,0: 71:[1, 70] Operation: 2*35=70\nMoving to Node #0,1,0\nCurrent State: 71:[1, 70], Operations: ['179-178=1', '2*35=70']\nExploring Operation: 1+70=71, Resulting Numbers: [71]\n71,71 equal: Goal Reached\nFinal operations:\n179-178=1\n2*35=70\n1+70=71",
"role": "assistant"
}
] |
[
2,
179,
178,
35
] | 71
|
dfs
|
sum_heuristic
| 0.989583
|
[
{
"content": "Given the numbers [84, 38, 46, 111] and the target 57, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 57:[84, 38, 46, 111], Operations: []\nExploring Operation: 111-38=73, Resulting Numbers: [84, 46, 73]\nGenerated Node #0,0: 57:[84, 46, 73] Operation: 111-38=73\nMoving to Node #0,0\nCurrent State: 57:[84, 46, 73], Operations: ['111-38=73']\nExploring Operation: 84-46=38, Resulting Numbers: [73, 38]\nGenerated Node #0,0,0: 57:[73, 38] Operation: 84-46=38\nMoving to Node #0,0,0\nCurrent State: 57:[73, 38], Operations: ['111-38=73', '84-46=38']\nExploring Operation: 73-38=35, Resulting Numbers: [35]\n35,57 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 57:[73, 38], Operations: ['111-38=73', '84-46=38']\nExploring Operation: 73+38=111, Resulting Numbers: [111]\n111,57 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 57:[84, 46, 73], Operations: ['111-38=73']\nExploring Operation: 84-73=11, Resulting Numbers: [46, 11]\nGenerated Node #0,0,1: 57:[46, 11] Operation: 84-73=11\nMoving to Node #0,0,1\nCurrent State: 57:[46, 11], Operations: ['111-38=73', '84-73=11']\nExploring Operation: 46+11=57, Resulting Numbers: [57]\n57,57 equal: Goal Reached\nFinal operations:\n111-38=73\n84-73=11\n46+11=57",
"role": "assistant"
}
] |
[
84,
38,
46,
111
] | 57
|
dfs
|
sum_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [163, 192, 99, 122] and the target 52, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 52:[163, 192, 99, 122], Operations: []\nExploring Operation: 192-122=70, Resulting Numbers: [163, 99, 70]\nGenerated Node #0,0: 52:[163, 99, 70] Operation: 192-122=70\nExploring Operation: 192-163=29, Resulting Numbers: [99, 122, 29]\nGenerated Node #0,1: 52:[99, 122, 29] Operation: 192-163=29\nExploring Operation: 163-99=64, Resulting Numbers: [192, 122, 64]\nGenerated Node #0,2: 52:[192, 122, 64] Operation: 163-99=64\nExploring Operation: 163-122=41, Resulting Numbers: [192, 99, 41]\nGenerated Node #0,3: 52:[192, 99, 41] Operation: 163-122=41\nMoving to Node #0,1\nCurrent State: 52:[99, 122, 29], Operations: ['192-163=29']\nExploring Operation: 122-99=23, Resulting Numbers: [29, 23]\nGenerated Node #0,1,0: 52:[29, 23] Operation: 122-99=23\nExploring Operation: 99-29=70, Resulting Numbers: [122, 70]\nGenerated Node #0,1,1: 52:[122, 70] Operation: 99-29=70\nExploring Operation: 122-29=93, Resulting Numbers: [99, 93]\nGenerated Node #0,1,2: 52:[99, 93] Operation: 122-29=93\nExploring Operation: 99+29=128, Resulting Numbers: [122, 128]\nGenerated Node #0,1,3: 52:[122, 128] Operation: 99+29=128\nMoving to Node #0,0\nCurrent State: 52:[163, 99, 70], Operations: ['192-122=70']\nExploring Operation: 163-70=93, Resulting Numbers: [99, 93]\nGenerated Node #0,0,0: 52:[99, 93] Operation: 163-70=93\nExploring Operation: 163-99=64, Resulting Numbers: [70, 64]\nGenerated Node #0,0,1: 52:[70, 64] Operation: 163-99=64\nExploring Operation: 99-70=29, Resulting Numbers: [163, 29]\nGenerated Node #0,0,2: 52:[163, 29] Operation: 99-70=29\nExploring Operation: 163+99=262, Resulting Numbers: [70, 262]\nGenerated Node #0,0,3: 52:[70, 262] Operation: 163+99=262\nMoving to Node #0,3\nCurrent State: 52:[192, 99, 41], Operations: ['163-122=41']\nExploring Operation: 192+41=233, Resulting Numbers: [99, 233]\nGenerated Node #0,3,0: 52:[99, 233] Operation: 192+41=233\nExploring Operation: 192-99=93, Resulting Numbers: [41, 93]\nGenerated Node #0,3,1: 52:[41, 93] Operation: 192-99=93\nExploring Operation: 192-41=151, Resulting Numbers: [99, 151]\nGenerated Node #0,3,2: 52:[99, 151] Operation: 192-41=151\nExploring Operation: 99-41=58, Resulting Numbers: [192, 58]\nGenerated Node #0,3,3: 52:[192, 58] Operation: 99-41=58\nMoving to Node #0,2\nCurrent State: 52:[192, 122, 64], Operations: ['163-99=64']\nExploring Operation: 122-64=58, Resulting Numbers: [192, 58]\nGenerated Node #0,2,0: 52:[192, 58] Operation: 122-64=58\nExploring Operation: 192/64=3, Resulting Numbers: [122, 3]\nGenerated Node #0,2,1: 52:[122, 3] Operation: 192/64=3\nExploring Operation: 192-122=70, Resulting Numbers: [64, 70]\nGenerated Node #0,2,2: 52:[64, 70] Operation: 192-122=70\nExploring Operation: 192-64=128, Resulting Numbers: [122, 128]\nGenerated Node #0,2,3: 52:[122, 128] Operation: 192-64=128\nMoving to Node #0,1,0\nCurrent State: 52:[29, 23], Operations: ['192-163=29', '122-99=23']\nExploring Operation: 29+23=52, Resulting Numbers: [52]\n52,52 equal: Goal Reached\nFinal operations:\n192-163=29\n122-99=23\n29+23=52",
"role": "assistant"
}
] |
[
163,
192,
99,
122
] | 52
|
bfs_4
|
mult_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [64, 23, 35, 9] and the target 43, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 43:[64, 23, 35, 9], Operations: []\nExploring Operation: 64-9=55, Resulting Numbers: [23, 35, 55]\nGenerated Node #0,0: 43:[23, 35, 55] Operation: 64-9=55\nMoving to Node #0,0\nCurrent State: 43:[23, 35, 55], Operations: ['64-9=55']\nExploring Operation: 55-23=32, Resulting Numbers: [35, 32]\nGenerated Node #0,0,0: 43:[35, 32] Operation: 55-23=32\nMoving to Node #0,0,0\nCurrent State: 43:[35, 32], Operations: ['64-9=55', '55-23=32']\nExploring Operation: 35+32=67, Resulting Numbers: [67]\n67,43 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 43:[35, 32], Operations: ['64-9=55', '55-23=32']\nExploring Operation: 35-32=3, Resulting Numbers: [3]\n3,43 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 43:[23, 35, 55], Operations: ['64-9=55']\nExploring Operation: 23+35=58, Resulting Numbers: [55, 58]\nGenerated Node #0,0,1: 43:[55, 58] Operation: 23+35=58\nMoving to Node #0,0,1\nCurrent State: 43:[55, 58], Operations: ['64-9=55', '23+35=58']\nExploring Operation: 58-55=3, Resulting Numbers: [3]\n3,43 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 43:[23, 35, 55], Operations: ['64-9=55']\nExploring Operation: 35-23=12, Resulting Numbers: [55, 12]\nGenerated Node #0,0,2: 43:[55, 12] Operation: 35-23=12\nMoving to Node #0,0,2\nCurrent State: 43:[55, 12], Operations: ['64-9=55', '35-23=12']\nExploring Operation: 55-12=43, Resulting Numbers: [43]\n43,43 equal: Goal Reached\nFinal operations:\n64-9=55\n35-23=12\n55-12=43",
"role": "assistant"
}
] |
[
64,
23,
35,
9
] | 43
|
dfs
|
sum_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [38, 99, 113, 126] and the target 29, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 29:[38, 99, 113, 126], Operations: []\nExploring Operation: 99-38=61, Resulting Numbers: [113, 126, 61]\nGenerated Node #0,0: 29:[113, 126, 61] Operation: 99-38=61\nExploring Operation: 113-99=14, Resulting Numbers: [38, 126, 14]\nGenerated Node #0,1: 29:[38, 126, 14] Operation: 113-99=14\nExploring Operation: 126-99=27, Resulting Numbers: [38, 113, 27]\nGenerated Node #0,2: 29:[38, 113, 27] Operation: 126-99=27\nExploring Operation: 126-113=13, Resulting Numbers: [38, 99, 13]\nGenerated Node #0,3: 29:[38, 99, 13] Operation: 126-113=13\nMoving to Node #0,2\nCurrent State: 29:[38, 113, 27], Operations: ['126-99=27']\nExploring Operation: 113-38=75, Resulting Numbers: [27, 75]\nGenerated Node #0,2,0: 29:[27, 75] Operation: 113-38=75\nExploring Operation: 113-27=86, Resulting Numbers: [38, 86]\nGenerated Node #0,2,1: 29:[38, 86] Operation: 113-27=86\nExploring Operation: 38-27=11, Resulting Numbers: [113, 11]\nGenerated Node #0,2,2: 29:[113, 11] Operation: 38-27=11\nExploring Operation: 38+27=65, Resulting Numbers: [113, 65]\nGenerated Node #0,2,3: 29:[113, 65] Operation: 38+27=65\nMoving to Node #0,3\nCurrent State: 29:[38, 99, 13], Operations: ['126-113=13']\nExploring Operation: 99-13=86, Resulting Numbers: [38, 86]\nGenerated Node #0,3,0: 29:[38, 86] Operation: 99-13=86\nExploring Operation: 38+13=51, Resulting Numbers: [99, 51]\nGenerated Node #0,3,1: 29:[99, 51] Operation: 38+13=51\nExploring Operation: 99-38=61, Resulting Numbers: [13, 61]\nGenerated Node #0,3,2: 29:[13, 61] Operation: 99-38=61\nExploring Operation: 38-13=25, Resulting Numbers: [99, 25]\nGenerated Node #0,3,3: 29:[99, 25] Operation: 38-13=25\nMoving to Node #0,1\nCurrent State: 29:[38, 126, 14], Operations: ['113-99=14']\nExploring Operation: 126-38=88, Resulting Numbers: [14, 88]\nGenerated Node #0,1,0: 29:[14, 88] Operation: 126-38=88\nExploring Operation: 38-14=24, Resulting Numbers: [126, 24]\nGenerated Node #0,1,1: 29:[126, 24] Operation: 38-14=24\nExploring Operation: 126/14=9, Resulting Numbers: [38, 9]\nGenerated Node #0,1,2: 29:[38, 9] Operation: 126/14=9\nExploring Operation: 126-14=112, Resulting Numbers: [38, 112]\nGenerated Node #0,1,3: 29:[38, 112] Operation: 126-14=112\nMoving to Node #0,0\nCurrent State: 29:[113, 126, 61], Operations: ['99-38=61']\nExploring Operation: 126-113=13, Resulting Numbers: [61, 13]\nGenerated Node #0,0,0: 29:[61, 13] Operation: 126-113=13\nExploring Operation: 113-61=52, Resulting Numbers: [126, 52]\nGenerated Node #0,0,1: 29:[126, 52] Operation: 113-61=52\nExploring Operation: 113+126=239, Resulting Numbers: [61, 239]\nGenerated Node #0,0,2: 29:[61, 239] Operation: 113+126=239\nExploring Operation: 126-61=65, Resulting Numbers: [113, 65]\nGenerated Node #0,0,3: 29:[113, 65] Operation: 126-61=65\nMoving to Node #0,1,2\nCurrent State: 29:[38, 9], Operations: ['113-99=14', '126/14=9']\nExploring Operation: 38-9=29, Resulting Numbers: [29]\n29,29 equal: Goal Reached\nFinal operations:\n113-99=14\n126/14=9\n38-9=29",
"role": "assistant"
}
] |
[
38,
99,
113,
126
] | 29
|
bfs_4
|
sum_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [92, 133, 43, 160] and the target 158, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 158:[92, 133, 43, 160], Operations: []\nExploring Operation: 133-43=90, Resulting Numbers: [92, 160, 90]\nGenerated Node #0,0: 158:[92, 160, 90] Operation: 133-43=90\nMoving to Node #0,0\nCurrent State: 158:[92, 160, 90], Operations: ['133-43=90']\nExploring Operation: 92-90=2, Resulting Numbers: [160, 2]\nGenerated Node #0,0,0: 158:[160, 2] Operation: 92-90=2\nMoving to Node #0,0,0\nCurrent State: 158:[160, 2], Operations: ['133-43=90', '92-90=2']\nExploring Operation: 160-2=158, Resulting Numbers: [158]\n158,158 equal: Goal Reached\nFinal operations:\n133-43=90\n92-90=2\n160-2=158",
"role": "assistant"
}
] |
[
92,
133,
43,
160
] | 158
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [42, 46, 69, 51] and the target 106, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 106:[42, 46, 69, 51], Operations: []\nExploring Operation: 42+69=111, Resulting Numbers: [46, 51, 111]\nGenerated Node #0,0: 106:[46, 51, 111] Operation: 42+69=111\nMoving to Node #0,0\nCurrent State: 106:[46, 51, 111], Operations: ['42+69=111']\nExploring Operation: 51-46=5, Resulting Numbers: [111, 5]\nGenerated Node #0,0,0: 106:[111, 5] Operation: 51-46=5\nMoving to Node #0,0,0\nCurrent State: 106:[111, 5], Operations: ['42+69=111', '51-46=5']\nExploring Operation: 111-5=106, Resulting Numbers: [106]\n106,106 equal: Goal Reached\nFinal operations:\n42+69=111\n51-46=5\n111-5=106",
"role": "assistant"
}
] |
[
42,
46,
69,
51
] | 106
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [101, 24, 123, 57] and the target 11, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 11:[101, 24, 123, 57], Operations: []\nExploring Operation: 123-101=22, Resulting Numbers: [24, 57, 22]\nGenerated Node #0,0: 11:[24, 57, 22] Operation: 123-101=22\nExploring Operation: 101-57=44, Resulting Numbers: [24, 123, 44]\nGenerated Node #0,1: 11:[24, 123, 44] Operation: 101-57=44\nMoving to Node #0,0\nCurrent State: 11:[24, 57, 22], Operations: ['123-101=22']\nExploring Operation: 57-22=35, Resulting Numbers: [24, 35]\nGenerated Node #0,0,0: 11:[24, 35] Operation: 57-22=35\nExploring Operation: 57-24=33, Resulting Numbers: [22, 33]\nGenerated Node #0,0,1: 11:[22, 33] Operation: 57-24=33\nMoving to Node #0,1\nCurrent State: 11:[24, 123, 44], Operations: ['101-57=44']\nExploring Operation: 123-24=99, Resulting Numbers: [44, 99]\nGenerated Node #0,1,0: 11:[44, 99] Operation: 123-24=99\nExploring Operation: 123-44=79, Resulting Numbers: [24, 79]\nGenerated Node #0,1,1: 11:[24, 79] Operation: 123-44=79\nMoving to Node #0,0,1\nCurrent State: 11:[22, 33], Operations: ['123-101=22', '57-24=33']\nExploring Operation: 22+33=55, Resulting Numbers: [55]\n55,11 unequal: No Solution\nExploring Operation: 33-22=11, Resulting Numbers: [11]\n11,11 equal: Goal Reached\nFinal operations:\n123-101=22\n57-24=33\n33-22=11",
"role": "assistant"
}
] |
[
101,
24,
123,
57
] | 11
|
bfs_2
|
mult_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [84, 2, 44, 60] and the target 22, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 22:[84, 2, 44, 60], Operations: []\nExploring Operation: 84-60=24, Resulting Numbers: [2, 44, 24]\nGenerated Node #0,0: 22:[2, 44, 24] Operation: 84-60=24\nMoving to Node #0,0\nCurrent State: 22:[2, 44, 24], Operations: ['84-60=24']\nExploring Operation: 44/2=22, Resulting Numbers: [24, 22]\nGenerated Node #0,0,0: 22:[24, 22] Operation: 44/2=22\nMoving to Node #0,0,0\nCurrent State: 22:[24, 22], Operations: ['84-60=24', '44/2=22']\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,22 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 22:[2, 44, 24], Operations: ['84-60=24']\nExploring Operation: 44-2=42, Resulting Numbers: [24, 42]\nGenerated Node #0,0,1: 22:[24, 42] Operation: 44-2=42\nMoving to Node #0,0,1\nCurrent State: 22:[24, 42], Operations: ['84-60=24', '44-2=42']\nExploring Operation: 42-24=18, Resulting Numbers: [18]\n18,22 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 22:[2, 44, 24], Operations: ['84-60=24']\nExploring Operation: 24-2=22, Resulting Numbers: [44, 22]\nGenerated Node #0,0,2: 22:[44, 22] Operation: 24-2=22\nMoving to Node #0,0,2\nCurrent State: 22:[44, 22], Operations: ['84-60=24', '24-2=22']\nExploring Operation: 44-22=22, Resulting Numbers: [22]\n22,22 equal: Goal Reached\nFinal operations:\n84-60=24\n24-2=22\n44-22=22",
"role": "assistant"
}
] |
[
84,
2,
44,
60
] | 22
|
dfs
|
sum_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [180, 93, 22, 105] and the target 190, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 190:[180, 93, 22, 105], Operations: []\nExploring Operation: 105-93=12, Resulting Numbers: [180, 22, 12]\nGenerated Node #0,0: 190:[180, 22, 12] Operation: 105-93=12\nMoving to Node #0,0\nCurrent State: 190:[180, 22, 12], Operations: ['105-93=12']\nExploring Operation: 180+12=192, Resulting Numbers: [22, 192]\nGenerated Node #0,0,0: 190:[22, 192] Operation: 180+12=192\nMoving to Node #0,0,0\nCurrent State: 190:[22, 192], Operations: ['105-93=12', '180+12=192']\nExploring Operation: 192-22=170, Resulting Numbers: [170]\n170,190 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 190:[22, 192], Operations: ['105-93=12', '180+12=192']\nExploring Operation: 22+192=214, Resulting Numbers: [214]\n214,190 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 190:[180, 22, 12], Operations: ['105-93=12']\nExploring Operation: 180/12=15, Resulting Numbers: [22, 15]\nGenerated Node #0,0,1: 190:[22, 15] Operation: 180/12=15\nMoving to Node #0,0,1\nCurrent State: 190:[22, 15], Operations: ['105-93=12', '180/12=15']\nExploring Operation: 22+15=37, Resulting Numbers: [37]\n37,190 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 190:[22, 15], Operations: ['105-93=12', '180/12=15']\nExploring Operation: 22-15=7, Resulting Numbers: [7]\n7,190 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 190:[22, 15], Operations: ['105-93=12', '180/12=15']\nExploring Operation: 22*15=330, Resulting Numbers: [330]\n330,190 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 190:[180, 22, 12], Operations: ['105-93=12']\nExploring Operation: 22-12=10, Resulting Numbers: [180, 10]\nGenerated Node #0,0,2: 190:[180, 10] Operation: 22-12=10\nMoving to Node #0,0,2\nCurrent State: 190:[180, 10], Operations: ['105-93=12', '22-12=10']\nExploring Operation: 180+10=190, Resulting Numbers: [190]\n190,190 equal: Goal Reached\nFinal operations:\n105-93=12\n22-12=10\n180+10=190",
"role": "assistant"
}
] |
[
180,
93,
22,
105
] | 190
|
dfs
|
mult_heuristic
| 0.990451
|
[
{
"content": "Given the numbers [190, 57, 76, 10] and the target 20, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 20:[190, 57, 76, 10], Operations: []\nExploring Operation: 190-76=114, Resulting Numbers: [57, 10, 114]\nGenerated Node #0,0: 20:[57, 10, 114] Operation: 190-76=114\nExploring Operation: 76-57=19, Resulting Numbers: [190, 10, 19]\nGenerated Node #0,1: 20:[190, 10, 19] Operation: 76-57=19\nExploring Operation: 190/10=19, Resulting Numbers: [57, 76, 19]\nGenerated Node #0,2: 20:[57, 76, 19] Operation: 190/10=19\nExploring Operation: 190-57=133, Resulting Numbers: [76, 10, 133]\nGenerated Node #0,3: 20:[76, 10, 133] Operation: 190-57=133\nMoving to Node #0,2\nCurrent State: 20:[57, 76, 19], Operations: ['190/10=19']\nExploring Operation: 76-57=19, Resulting Numbers: [19, 19]\nGenerated Node #0,2,0: 20:[19, 19] Operation: 76-57=19\nExploring Operation: 57-19=38, Resulting Numbers: [76, 38]\nGenerated Node #0,2,1: 20:[76, 38] Operation: 57-19=38\nExploring Operation: 76/19=4, Resulting Numbers: [57, 4]\nGenerated Node #0,2,2: 20:[57, 4] Operation: 76/19=4\nExploring Operation: 57/19=3, Resulting Numbers: [76, 3]\nGenerated Node #0,2,3: 20:[76, 3] Operation: 57/19=3\nMoving to Node #0,0\nCurrent State: 20:[57, 10, 114], Operations: ['190-76=114']\nExploring Operation: 114/57=2, Resulting Numbers: [10, 2]\nGenerated Node #0,0,0: 20:[10, 2] Operation: 114/57=2\nExploring Operation: 114-57=57, Resulting Numbers: [10, 57]\nGenerated Node #0,0,1: 20:[10, 57] Operation: 114-57=57\nExploring Operation: 57-10=47, Resulting Numbers: [114, 47]\nGenerated Node #0,0,2: 20:[114, 47] Operation: 57-10=47\nExploring Operation: 114-10=104, Resulting Numbers: [57, 104]\nGenerated Node #0,0,3: 20:[57, 104] Operation: 114-10=104\nMoving to Node #0,3\nCurrent State: 20:[76, 10, 133], Operations: ['190-57=133']\nExploring Operation: 133-10=123, Resulting Numbers: [76, 123]\nGenerated Node #0,3,0: 20:[76, 123] Operation: 133-10=123\nExploring Operation: 133-76=57, Resulting Numbers: [10, 57]\nGenerated Node #0,3,1: 20:[10, 57] Operation: 133-76=57\nExploring Operation: 76-10=66, Resulting Numbers: [133, 66]\nGenerated Node #0,3,2: 20:[133, 66] Operation: 76-10=66\nExploring Operation: 76+10=86, Resulting Numbers: [133, 86]\nGenerated Node #0,3,3: 20:[133, 86] Operation: 76+10=86\nMoving to Node #0,1\nCurrent State: 20:[190, 10, 19], Operations: ['76-57=19']\nExploring Operation: 190-10=180, Resulting Numbers: [19, 180]\nGenerated Node #0,1,0: 20:[19, 180] Operation: 190-10=180\nExploring Operation: 190-19=171, Resulting Numbers: [10, 171]\nGenerated Node #0,1,1: 20:[10, 171] Operation: 190-19=171\nExploring Operation: 190/10=19, Resulting Numbers: [19, 19]\nGenerated Node #0,1,2: 20:[19, 19] Operation: 190/10=19\nExploring Operation: 190/19=10, Resulting Numbers: [10, 10]\nGenerated Node #0,1,3: 20:[10, 10] Operation: 190/19=10\nMoving to Node #0,0,0\nCurrent State: 20:[10, 2], Operations: ['190-76=114', '114/57=2']\nExploring Operation: 10*2=20, Resulting Numbers: [20]\n20,20 equal: Goal Reached\nFinal operations:\n190-76=114\n114/57=2\n10*2=20",
"role": "assistant"
}
] |
[
190,
57,
76,
10
] | 20
|
bfs_4
|
mult_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [17, 170, 146, 114] and the target 107, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 107:[17, 170, 146, 114], Operations: []\nExploring Operation: 170-17=153, Resulting Numbers: [146, 114, 153]\nGenerated Node #0,0: 107:[146, 114, 153] Operation: 170-17=153\nMoving to Node #0,0\nCurrent State: 107:[146, 114, 153], Operations: ['170-17=153']\nExploring Operation: 153-146=7, Resulting Numbers: [114, 7]\nGenerated Node #0,0,0: 107:[114, 7] Operation: 153-146=7\nMoving to Node #0,0,0\nCurrent State: 107:[114, 7], Operations: ['170-17=153', '153-146=7']\nExploring Operation: 114-7=107, Resulting Numbers: [107]\n107,107 equal: Goal Reached\nFinal operations:\n170-17=153\n153-146=7\n114-7=107",
"role": "assistant"
}
] |
[
17,
170,
146,
114
] | 107
|
bfs_1
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [51, 194, 38, 192] and the target 64, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 64:[51, 194, 38, 192], Operations: []\nExploring Operation: 194-192=2, Resulting Numbers: [51, 38, 2]\nGenerated Node #0,0: 64:[51, 38, 2] Operation: 194-192=2\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 38*2=76, Resulting Numbers: [51, 76]\nGenerated Node #0,0,0: 64:[51, 76] Operation: 38*2=76\nMoving to Node #0,0,0\nCurrent State: 64:[51, 76], Operations: ['194-192=2', '38*2=76']\nExploring Operation: 76-51=25, Resulting Numbers: [25]\n25,64 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 64:[51, 76], Operations: ['194-192=2', '38*2=76']\nExploring Operation: 51+76=127, Resulting Numbers: [127]\n127,64 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 51+2=53, Resulting Numbers: [38, 53]\nGenerated Node #0,0,1: 64:[38, 53] Operation: 51+2=53\nMoving to Node #0,0,1\nCurrent State: 64:[38, 53], Operations: ['194-192=2', '51+2=53']\nExploring Operation: 38+53=91, Resulting Numbers: [91]\n91,64 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 64:[38, 53], Operations: ['194-192=2', '51+2=53']\nExploring Operation: 53-38=15, Resulting Numbers: [15]\n15,64 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 38+2=40, Resulting Numbers: [51, 40]\nGenerated Node #0,0,2: 64:[51, 40] Operation: 38+2=40\nMoving to Node #0,0,2\nCurrent State: 64:[51, 40], Operations: ['194-192=2', '38+2=40']\nExploring Operation: 51+40=91, Resulting Numbers: [91]\n91,64 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 64:[51, 40], Operations: ['194-192=2', '38+2=40']\nExploring Operation: 51-40=11, Resulting Numbers: [11]\n11,64 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 51-2=49, Resulting Numbers: [38, 49]\nGenerated Node #0,0,3: 64:[38, 49] Operation: 51-2=49\nMoving to Node #0,0,3\nCurrent State: 64:[38, 49], Operations: ['194-192=2', '51-2=49']\nExploring Operation: 38+49=87, Resulting Numbers: [87]\n87,64 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 64:[38, 49], Operations: ['194-192=2', '51-2=49']\nExploring Operation: 49-38=11, Resulting Numbers: [11]\n11,64 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 38-2=36, Resulting Numbers: [51, 36]\nGenerated Node #0,0,4: 64:[51, 36] Operation: 38-2=36\nMoving to Node #0,0,4\nCurrent State: 64:[51, 36], Operations: ['194-192=2', '38-2=36']\nExploring Operation: 51+36=87, Resulting Numbers: [87]\n87,64 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 64:[51, 36], Operations: ['194-192=2', '38-2=36']\nExploring Operation: 51-36=15, Resulting Numbers: [15]\n15,64 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 38/2=19, Resulting Numbers: [51, 19]\nGenerated Node #0,0,5: 64:[51, 19] Operation: 38/2=19\nMoving to Node #0,0,5\nCurrent State: 64:[51, 19], Operations: ['194-192=2', '38/2=19']\nExploring Operation: 51+19=70, Resulting Numbers: [70]\n70,64 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 64:[51, 19], Operations: ['194-192=2', '38/2=19']\nExploring Operation: 51-19=32, Resulting Numbers: [32]\n32,64 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 64:[51, 38, 2], Operations: ['194-192=2']\nExploring Operation: 51*2=102, Resulting Numbers: [38, 102]\nGenerated Node #0,0,6: 64:[38, 102] Operation: 51*2=102\nMoving to Node #0,0,6\nCurrent State: 64:[38, 102], Operations: ['194-192=2', '51*2=102']\nExploring Operation: 102-38=64, Resulting Numbers: [64]\n64,64 equal: Goal Reached\nFinal operations:\n194-192=2\n51*2=102\n102-38=64",
"role": "assistant"
}
] |
[
51,
194,
38,
192
] | 64
|
dfs
|
sum_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [26, 71, 129, 107] and the target 119, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 119:[26, 71, 129, 107], Operations: []\nExploring Operation: 107-71=36, Resulting Numbers: [26, 129, 36]\nGenerated Node #0,0: 119:[26, 129, 36] Operation: 107-71=36\nMoving to Node #0,0\nCurrent State: 119:[26, 129, 36], Operations: ['107-71=36']\nExploring Operation: 36-26=10, Resulting Numbers: [129, 10]\nGenerated Node #0,0,0: 119:[129, 10] Operation: 36-26=10\nMoving to Node #0,0,0\nCurrent State: 119:[129, 10], Operations: ['107-71=36', '36-26=10']\nExploring Operation: 129-10=119, Resulting Numbers: [119]\n119,119 equal: Goal Reached\nFinal operations:\n107-71=36\n36-26=10\n129-10=119",
"role": "assistant"
}
] |
[
26,
71,
129,
107
] | 119
|
bfs_1
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [101, 73, 108, 84] and the target 111, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 111:[101, 73, 108, 84], Operations: []\nExploring Operation: 84-73=11, Resulting Numbers: [101, 108, 11]\nGenerated Node #0,0: 111:[101, 108, 11] Operation: 84-73=11\nExploring Operation: 101-73=28, Resulting Numbers: [108, 84, 28]\nGenerated Node #0,1: 111:[108, 84, 28] Operation: 101-73=28\nMoving to Node #0,0\nCurrent State: 111:[101, 108, 11], Operations: ['84-73=11']\nExploring Operation: 108-101=7, Resulting Numbers: [11, 7]\nGenerated Node #0,0,0: 111:[11, 7] Operation: 108-101=7\nExploring Operation: 101+11=112, Resulting Numbers: [108, 112]\nGenerated Node #0,0,1: 111:[108, 112] Operation: 101+11=112\nMoving to Node #0,1\nCurrent State: 111:[108, 84, 28], Operations: ['101-73=28']\nExploring Operation: 84/28=3, Resulting Numbers: [108, 3]\nGenerated Node #0,1,0: 111:[108, 3] Operation: 84/28=3\nExploring Operation: 84+28=112, Resulting Numbers: [108, 112]\nGenerated Node #0,1,1: 111:[108, 112] Operation: 84+28=112\nMoving to Node #0,1,0\nCurrent State: 111:[108, 3], Operations: ['101-73=28', '84/28=3']\nExploring Operation: 108+3=111, Resulting Numbers: [111]\n111,111 equal: Goal Reached\nFinal operations:\n101-73=28\n84/28=3\n108+3=111",
"role": "assistant"
}
] |
[
101,
73,
108,
84
] | 111
|
bfs_2
|
mult_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [178, 148, 190, 79] and the target 81, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 81:[178, 148, 190, 79], Operations: []\nExploring Operation: 190-148=42, Resulting Numbers: [178, 79, 42]\nGenerated Node #0,0: 81:[178, 79, 42] Operation: 190-148=42\nExploring Operation: 190-178=12, Resulting Numbers: [148, 79, 12]\nGenerated Node #0,1: 81:[148, 79, 12] Operation: 190-178=12\nExploring Operation: 178-148=30, Resulting Numbers: [190, 79, 30]\nGenerated Node #0,2: 81:[190, 79, 30] Operation: 178-148=30\nMoving to Node #0,0\nCurrent State: 81:[178, 79, 42], Operations: ['190-148=42']\nExploring Operation: 178-42=136, Resulting Numbers: [79, 136]\nGenerated Node #0,0,0: 81:[79, 136] Operation: 178-42=136\nExploring Operation: 79+42=121, Resulting Numbers: [178, 121]\nGenerated Node #0,0,1: 81:[178, 121] Operation: 79+42=121\nExploring Operation: 178-79=99, Resulting Numbers: [42, 99]\nGenerated Node #0,0,2: 81:[42, 99] Operation: 178-79=99\nMoving to Node #0,1\nCurrent State: 81:[148, 79, 12], Operations: ['190-178=12']\nExploring Operation: 148-79=69, Resulting Numbers: [12, 69]\nGenerated Node #0,1,0: 81:[12, 69] Operation: 148-79=69\nExploring Operation: 79+12=91, Resulting Numbers: [148, 91]\nGenerated Node #0,1,1: 81:[148, 91] Operation: 79+12=91\nExploring Operation: 148-12=136, Resulting Numbers: [79, 136]\nGenerated Node #0,1,2: 81:[79, 136] Operation: 148-12=136\nMoving to Node #0,2\nCurrent State: 81:[190, 79, 30], Operations: ['178-148=30']\nExploring Operation: 79+30=109, Resulting Numbers: [190, 109]\nGenerated Node #0,2,0: 81:[190, 109] Operation: 79+30=109\nExploring Operation: 190-30=160, Resulting Numbers: [79, 160]\nGenerated Node #0,2,1: 81:[79, 160] Operation: 190-30=160\nExploring Operation: 190-79=111, Resulting Numbers: [30, 111]\nGenerated Node #0,2,2: 81:[30, 111] Operation: 190-79=111\nMoving to Node #0,0,0\nCurrent State: 81:[79, 136], Operations: ['190-148=42', '178-42=136']\nExploring Operation: 79*136=10744, Resulting Numbers: [10744]\n10744,81 unequal: No Solution\nExploring Operation: 136-79=57, Resulting Numbers: [57]\n57,81 unequal: No Solution\nExploring Operation: 79+136=215, Resulting Numbers: [215]\n215,81 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 81:[42, 99], Operations: ['190-148=42', '178-79=99']\nExploring Operation: 42+99=141, Resulting Numbers: [141]\n141,81 unequal: No Solution\nExploring Operation: 99-42=57, Resulting Numbers: [57]\n57,81 unequal: No Solution\nExploring Operation: 42*99=4158, Resulting Numbers: [4158]\n4158,81 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 81:[79, 136], Operations: ['190-178=12', '148-12=136']\nExploring Operation: 136-79=57, Resulting Numbers: [57]\n57,81 unequal: No Solution\nExploring Operation: 79*136=10744, Resulting Numbers: [10744]\n10744,81 unequal: No Solution\nExploring Operation: 79+136=215, Resulting Numbers: [215]\n215,81 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 81:[57], Operations: ['190-148=42', '178-42=136', '136-79=57']\nMoving to Node #0,1,2,0\nCurrent State: 81:[57], Operations: ['190-178=12', '148-12=136', '136-79=57']\nMoving to Node #0,0,2,0\nCurrent State: 81:[57], Operations: ['190-148=42', '178-79=99', '99-42=57']\nMoving to Node #0,1,1\nCurrent State: 81:[148, 91], Operations: ['190-178=12', '79+12=91']\nExploring Operation: 148-91=57, Resulting Numbers: [57]\n57,81 unequal: No Solution\nExploring Operation: 148*91=13468, Resulting Numbers: [13468]\n13468,81 unequal: No Solution\nExploring Operation: 148+91=239, Resulting Numbers: [239]\n239,81 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 81:[12, 69], Operations: ['190-178=12', '148-79=69']\nExploring Operation: 12*69=828, Resulting Numbers: [828]\n828,81 unequal: No Solution\nExploring Operation: 69-12=57, Resulting Numbers: [57]\n57,81 unequal: No Solution\nExploring Operation: 12+69=81, Resulting Numbers: [81]\n81,81 equal: Goal Reached\nFinal operations:\n190-178=12\n148-79=69\n12+69=81",
"role": "assistant"
}
] |
[
178,
148,
190,
79
] | 81
|
bfs_3
|
sum_heuristic
| 0.975694
|
[
{
"content": "Given the numbers [107, 76, 90, 3] and the target 62, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 62:[107, 76, 90, 3], Operations: []\nExploring Operation: 107-76=31, Resulting Numbers: [90, 3, 31]\nGenerated Node #0,0: 62:[90, 3, 31] Operation: 107-76=31\nMoving to Node #0,0\nCurrent State: 62:[90, 3, 31], Operations: ['107-76=31']\nExploring Operation: 90/3=30, Resulting Numbers: [31, 30]\nGenerated Node #0,0,0: 62:[31, 30] Operation: 90/3=30\nMoving to Node #0,0,0\nCurrent State: 62:[31, 30], Operations: ['107-76=31', '90/3=30']\nExploring Operation: 31+30=61, Resulting Numbers: [61]\n61,62 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 62:[31, 30], Operations: ['107-76=31', '90/3=30']\nExploring Operation: 31-30=1, Resulting Numbers: [1]\n1,62 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 62:[90, 3, 31], Operations: ['107-76=31']\nExploring Operation: 90-31=59, Resulting Numbers: [3, 59]\nGenerated Node #0,0,1: 62:[3, 59] Operation: 90-31=59\nMoving to Node #0,0,1\nCurrent State: 62:[3, 59], Operations: ['107-76=31', '90-31=59']\nExploring Operation: 3+59=62, Resulting Numbers: [62]\n62,62 equal: Goal Reached\nFinal operations:\n107-76=31\n90-31=59\n3+59=62",
"role": "assistant"
}
] |
[
107,
76,
90,
3
] | 62
|
dfs
|
mult_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [31, 120, 57, 172] and the target 78, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 78:[31, 120, 57, 172], Operations: []\nExploring Operation: 120-31=89, Resulting Numbers: [57, 172, 89]\nGenerated Node #0,0: 78:[57, 172, 89] Operation: 120-31=89\nExploring Operation: 172-31=141, Resulting Numbers: [120, 57, 141]\nGenerated Node #0,1: 78:[120, 57, 141] Operation: 172-31=141\nExploring Operation: 172-120=52, Resulting Numbers: [31, 57, 52]\nGenerated Node #0,2: 78:[31, 57, 52] Operation: 172-120=52\nMoving to Node #0,2\nCurrent State: 78:[31, 57, 52], Operations: ['172-120=52']\nExploring Operation: 31+52=83, Resulting Numbers: [57, 83]\nGenerated Node #0,2,0: 78:[57, 83] Operation: 31+52=83\nExploring Operation: 31+57=88, Resulting Numbers: [52, 88]\nGenerated Node #0,2,1: 78:[52, 88] Operation: 31+57=88\nExploring Operation: 57-31=26, Resulting Numbers: [52, 26]\nGenerated Node #0,2,2: 78:[52, 26] Operation: 57-31=26\nMoving to Node #0,0\nCurrent State: 78:[57, 172, 89], Operations: ['120-31=89']\nExploring Operation: 89-57=32, Resulting Numbers: [172, 32]\nGenerated Node #0,0,0: 78:[172, 32] Operation: 89-57=32\nExploring Operation: 172-57=115, Resulting Numbers: [89, 115]\nGenerated Node #0,0,1: 78:[89, 115] Operation: 172-57=115\nExploring Operation: 172-89=83, Resulting Numbers: [57, 83]\nGenerated Node #0,0,2: 78:[57, 83] Operation: 172-89=83\nMoving to Node #0,1\nCurrent State: 78:[120, 57, 141], Operations: ['172-31=141']\nExploring Operation: 120-57=63, Resulting Numbers: [141, 63]\nGenerated Node #0,1,0: 78:[141, 63] Operation: 120-57=63\nExploring Operation: 141-120=21, Resulting Numbers: [57, 21]\nGenerated Node #0,1,1: 78:[57, 21] Operation: 141-120=21\nExploring Operation: 141-57=84, Resulting Numbers: [120, 84]\nGenerated Node #0,1,2: 78:[120, 84] Operation: 141-57=84\nMoving to Node #0,2,0\nCurrent State: 78:[57, 83], Operations: ['172-120=52', '31+52=83']\nExploring Operation: 83-57=26, Resulting Numbers: [26]\n26,78 unequal: No Solution\nExploring Operation: 57*83=4731, Resulting Numbers: [4731]\n4731,78 unequal: No Solution\nExploring Operation: 57+83=140, Resulting Numbers: [140]\n140,78 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 78:[57, 83], Operations: ['120-31=89', '172-89=83']\nExploring Operation: 57*83=4731, Resulting Numbers: [4731]\n4731,78 unequal: No Solution\nExploring Operation: 83-57=26, Resulting Numbers: [26]\n26,78 unequal: No Solution\nExploring Operation: 57+83=140, Resulting Numbers: [140]\n140,78 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 78:[52, 88], Operations: ['172-120=52', '31+57=88']\nExploring Operation: 52*88=4576, Resulting Numbers: [4576]\n4576,78 unequal: No Solution\nExploring Operation: 52+88=140, Resulting Numbers: [140]\n140,78 unequal: No Solution\nExploring Operation: 88-52=36, Resulting Numbers: [36]\n36,78 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 78:[120, 84], Operations: ['172-31=141', '141-57=84']\nExploring Operation: 120-84=36, Resulting Numbers: [36]\n36,78 unequal: No Solution\nExploring Operation: 120*84=10080, Resulting Numbers: [10080]\n10080,78 unequal: No Solution\nExploring Operation: 120+84=204, Resulting Numbers: [204]\n204,78 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 78:[89, 115], Operations: ['120-31=89', '172-57=115']\nExploring Operation: 115-89=26, Resulting Numbers: [26]\n26,78 unequal: No Solution\nExploring Operation: 89*115=10235, Resulting Numbers: [10235]\n10235,78 unequal: No Solution\nExploring Operation: 89+115=204, Resulting Numbers: [204]\n204,78 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 78:[52, 26], Operations: ['172-120=52', '57-31=26']\nExploring Operation: 52+26=78, Resulting Numbers: [78]\n78,78 equal: Goal Reached\nFinal operations:\n172-120=52\n57-31=26\n52+26=78",
"role": "assistant"
}
] |
[
31,
120,
57,
172
] | 78
|
bfs_3
|
sum_heuristic
| 0.974826
|
[
{
"content": "Given the numbers [10, 52, 9, 156] and the target 105, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 105:[10, 52, 9, 156], Operations: []\nExploring Operation: 156/52=3, Resulting Numbers: [10, 9, 3]\nGenerated Node #0,0: 105:[10, 9, 3] Operation: 156/52=3\nExploring Operation: 156-52=104, Resulting Numbers: [10, 9, 104]\nGenerated Node #0,1: 105:[10, 9, 104] Operation: 156-52=104\nExploring Operation: 52-10=42, Resulting Numbers: [9, 156, 42]\nGenerated Node #0,2: 105:[9, 156, 42] Operation: 52-10=42\nMoving to Node #0,0\nCurrent State: 105:[10, 9, 3], Operations: ['156/52=3']\nExploring Operation: 10-9=1, Resulting Numbers: [3, 1]\nGenerated Node #0,0,0: 105:[3, 1] Operation: 10-9=1\nExploring Operation: 10+9=19, Resulting Numbers: [3, 19]\nGenerated Node #0,0,1: 105:[3, 19] Operation: 10+9=19\nExploring Operation: 10-3=7, Resulting Numbers: [9, 7]\nGenerated Node #0,0,2: 105:[9, 7] Operation: 10-3=7\nMoving to Node #0,1\nCurrent State: 105:[10, 9, 104], Operations: ['156-52=104']\nExploring Operation: 10-9=1, Resulting Numbers: [104, 1]\nGenerated Node #0,1,0: 105:[104, 1] Operation: 10-9=1\nExploring Operation: 10+104=114, Resulting Numbers: [9, 114]\nGenerated Node #0,1,1: 105:[9, 114] Operation: 10+104=114\nExploring Operation: 10+9=19, Resulting Numbers: [104, 19]\nGenerated Node #0,1,2: 105:[104, 19] Operation: 10+9=19\nMoving to Node #0,2\nCurrent State: 105:[9, 156, 42], Operations: ['52-10=42']\nExploring Operation: 42-9=33, Resulting Numbers: [156, 33]\nGenerated Node #0,2,0: 105:[156, 33] Operation: 42-9=33\nExploring Operation: 156-9=147, Resulting Numbers: [42, 147]\nGenerated Node #0,2,1: 105:[42, 147] Operation: 156-9=147\nExploring Operation: 156-42=114, Resulting Numbers: [9, 114]\nGenerated Node #0,2,2: 105:[9, 114] Operation: 156-42=114\nMoving to Node #0,0,0\nCurrent State: 105:[3, 1], Operations: ['156/52=3', '10-9=1']\nExploring Operation: 3/1=3, Resulting Numbers: [3]\n3,105 unequal: No Solution\nExploring Operation: 3+1=4, Resulting Numbers: [4]\n4,105 unequal: No Solution\nExploring Operation: 3*1=3, Resulting Numbers: [3]\n3,105 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 105:[9, 7], Operations: ['156/52=3', '10-3=7']\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,105 unequal: No Solution\nExploring Operation: 9+7=16, Resulting Numbers: [16]\n16,105 unequal: No Solution\nExploring Operation: 9*7=63, Resulting Numbers: [63]\n63,105 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 105:[3, 19], Operations: ['156/52=3', '10+9=19']\nExploring Operation: 3+19=22, Resulting Numbers: [22]\n22,105 unequal: No Solution\nExploring Operation: 19-3=16, Resulting Numbers: [16]\n16,105 unequal: No Solution\nExploring Operation: 3*19=57, Resulting Numbers: [57]\n57,105 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 105:[3], Operations: ['156/52=3', '10-9=1', '3/1=3']\nMoving to Node #0,0,0,0\nCurrent State: 105:[3], Operations: ['156/52=3', '10-9=1', '3*1=3']\nMoving to Node #0,0,1,0\nCurrent State: 105:[22], Operations: ['156/52=3', '10+9=19', '3+19=22']\nMoving to Node #0,0,1,0\nCurrent State: 105:[16], Operations: ['156/52=3', '10+9=19', '19-3=16']\nMoving to Node #0,0,2,0\nCurrent State: 105:[2], Operations: ['156/52=3', '10-3=7', '9-7=2']\nMoving to Node #0,0,2,0\nCurrent State: 105:[16], Operations: ['156/52=3', '10-3=7', '9+7=16']\nMoving to Node #0,0,0,0\nCurrent State: 105:[4], Operations: ['156/52=3', '10-9=1', '3+1=4']\nMoving to Node #0,1,2\nCurrent State: 105:[104, 19], Operations: ['156-52=104', '10+9=19']\nExploring Operation: 104*19=1976, Resulting Numbers: [1976]\n1976,105 unequal: No Solution\nExploring Operation: 104-19=85, Resulting Numbers: [85]\n85,105 unequal: No Solution\nExploring Operation: 104+19=123, Resulting Numbers: [123]\n123,105 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 105:[104, 1], Operations: ['156-52=104', '10-9=1']\nExploring Operation: 104/1=104, Resulting Numbers: [104]\n104,105 unequal: No Solution\nExploring Operation: 104+1=105, Resulting Numbers: [105]\n105,105 equal: Goal Reached\nFinal operations:\n156-52=104\n10-9=1\n104+1=105",
"role": "assistant"
}
] |
[
10,
52,
9,
156
] | 105
|
bfs_3
|
mult_heuristic
| 0.976563
|
[
{
"content": "Given the numbers [104, 59, 98, 154] and the target 11, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 11:[104, 59, 98, 154], Operations: []\nExploring Operation: 104-59=45, Resulting Numbers: [98, 154, 45]\nGenerated Node #0,0: 11:[98, 154, 45] Operation: 104-59=45\nExploring Operation: 104-98=6, Resulting Numbers: [59, 154, 6]\nGenerated Node #0,1: 11:[59, 154, 6] Operation: 104-98=6\nExploring Operation: 154-104=50, Resulting Numbers: [59, 98, 50]\nGenerated Node #0,2: 11:[59, 98, 50] Operation: 154-104=50\nExploring Operation: 154-98=56, Resulting Numbers: [104, 59, 56]\nGenerated Node #0,3: 11:[104, 59, 56] Operation: 154-98=56\nMoving to Node #0,2\nCurrent State: 11:[59, 98, 50], Operations: ['154-104=50']\nExploring Operation: 98-50=48, Resulting Numbers: [59, 48]\nGenerated Node #0,2,0: 11:[59, 48] Operation: 98-50=48\nExploring Operation: 59-50=9, Resulting Numbers: [98, 9]\nGenerated Node #0,2,1: 11:[98, 9] Operation: 59-50=9\nExploring Operation: 98-59=39, Resulting Numbers: [50, 39]\nGenerated Node #0,2,2: 11:[50, 39] Operation: 98-59=39\nExploring Operation: 59+98=157, Resulting Numbers: [50, 157]\nGenerated Node #0,2,3: 11:[50, 157] Operation: 59+98=157\nMoving to Node #0,3\nCurrent State: 11:[104, 59, 56], Operations: ['154-98=56']\nExploring Operation: 104-56=48, Resulting Numbers: [59, 48]\nGenerated Node #0,3,0: 11:[59, 48] Operation: 104-56=48\nExploring Operation: 104-59=45, Resulting Numbers: [56, 45]\nGenerated Node #0,3,1: 11:[56, 45] Operation: 104-59=45\nExploring Operation: 104+59=163, Resulting Numbers: [56, 163]\nGenerated Node #0,3,2: 11:[56, 163] Operation: 104+59=163\nExploring Operation: 59-56=3, Resulting Numbers: [104, 3]\nGenerated Node #0,3,3: 11:[104, 3] Operation: 59-56=3\nMoving to Node #0,1\nCurrent State: 11:[59, 154, 6], Operations: ['104-98=6']\nExploring Operation: 154-6=148, Resulting Numbers: [59, 148]\nGenerated Node #0,1,0: 11:[59, 148] Operation: 154-6=148\nExploring Operation: 59+6=65, Resulting Numbers: [154, 65]\nGenerated Node #0,1,1: 11:[154, 65] Operation: 59+6=65\nExploring Operation: 154-59=95, Resulting Numbers: [6, 95]\nGenerated Node #0,1,2: 11:[6, 95] Operation: 154-59=95\nExploring Operation: 59-6=53, Resulting Numbers: [154, 53]\nGenerated Node #0,1,3: 11:[154, 53] Operation: 59-6=53\nMoving to Node #0,0\nCurrent State: 11:[98, 154, 45], Operations: ['104-59=45']\nExploring Operation: 98+154=252, Resulting Numbers: [45, 252]\nGenerated Node #0,0,0: 11:[45, 252] Operation: 98+154=252\nExploring Operation: 98-45=53, Resulting Numbers: [154, 53]\nGenerated Node #0,0,1: 11:[154, 53] Operation: 98-45=53\nExploring Operation: 154-45=109, Resulting Numbers: [98, 109]\nGenerated Node #0,0,2: 11:[98, 109] Operation: 154-45=109\nExploring Operation: 154-98=56, Resulting Numbers: [45, 56]\nGenerated Node #0,0,3: 11:[45, 56] Operation: 154-98=56\nMoving to Node #0,2,2\nCurrent State: 11:[50, 39], Operations: ['154-104=50', '98-59=39']\nExploring Operation: 50+39=89, Resulting Numbers: [89]\n89,11 unequal: No Solution\nExploring Operation: 50-39=11, Resulting Numbers: [11]\n11,11 equal: Goal Reached\nFinal operations:\n154-104=50\n98-59=39\n50-39=11",
"role": "assistant"
}
] |
[
104,
59,
98,
154
] | 11
|
bfs_4
|
mult_heuristic
| 0.980035
|
[
{
"content": "Given the numbers [166, 160, 43, 101] and the target 150, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 150:[166, 160, 43, 101], Operations: []\nExploring Operation: 166-101=65, Resulting Numbers: [160, 43, 65]\nGenerated Node #0,0: 150:[160, 43, 65] Operation: 166-101=65\nExploring Operation: 160-101=59, Resulting Numbers: [166, 43, 59]\nGenerated Node #0,1: 150:[166, 43, 59] Operation: 160-101=59\nMoving to Node #0,0\nCurrent State: 150:[160, 43, 65], Operations: ['166-101=65']\nExploring Operation: 160-65=95, Resulting Numbers: [43, 95]\nGenerated Node #0,0,0: 150:[43, 95] Operation: 160-65=95\nExploring Operation: 65-43=22, Resulting Numbers: [160, 22]\nGenerated Node #0,0,1: 150:[160, 22] Operation: 65-43=22\nMoving to Node #0,1\nCurrent State: 150:[166, 43, 59], Operations: ['160-101=59']\nExploring Operation: 59-43=16, Resulting Numbers: [166, 16]\nGenerated Node #0,1,0: 150:[166, 16] Operation: 59-43=16\nExploring Operation: 166-43=123, Resulting Numbers: [59, 123]\nGenerated Node #0,1,1: 150:[59, 123] Operation: 166-43=123\nMoving to Node #0,0,1\nCurrent State: 150:[160, 22], Operations: ['166-101=65', '65-43=22']\nExploring Operation: 160+22=182, Resulting Numbers: [182]\n182,150 unequal: No Solution\nExploring Operation: 160-22=138, Resulting Numbers: [138]\n138,150 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 150:[166, 16], Operations: ['160-101=59', '59-43=16']\nExploring Operation: 166-16=150, Resulting Numbers: [150]\n150,150 equal: Goal Reached\nFinal operations:\n160-101=59\n59-43=16\n166-16=150",
"role": "assistant"
}
] |
[
166,
160,
43,
101
] | 150
|
bfs_2
|
mult_heuristic
| 0.991319
|
[
{
"content": "Given the numbers [121, 152, 59, 177] and the target 149, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 149:[121, 152, 59, 177], Operations: []\nExploring Operation: 121+59=180, Resulting Numbers: [152, 177, 180]\nGenerated Node #0,0: 149:[152, 177, 180] Operation: 121+59=180\nMoving to Node #0,0\nCurrent State: 149:[152, 177, 180], Operations: ['121+59=180']\nExploring Operation: 180-152=28, Resulting Numbers: [177, 28]\nGenerated Node #0,0,0: 149:[177, 28] Operation: 180-152=28\nMoving to Node #0,0,0\nCurrent State: 149:[177, 28], Operations: ['121+59=180', '180-152=28']\nExploring Operation: 177-28=149, Resulting Numbers: [149]\n149,149 equal: Goal Reached\nFinal operations:\n121+59=180\n180-152=28\n177-28=149",
"role": "assistant"
}
] |
[
121,
152,
59,
177
] | 149
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [85, 113, 17, 86] and the target 130, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 130:[85, 113, 17, 86], Operations: []\nExploring Operation: 86-85=1, Resulting Numbers: [113, 17, 1]\nGenerated Node #0,0: 130:[113, 17, 1] Operation: 86-85=1\nMoving to Node #0,0\nCurrent State: 130:[113, 17, 1], Operations: ['86-85=1']\nExploring Operation: 113+17=130, Resulting Numbers: [1, 130]\nGenerated Node #0,0,0: 130:[1, 130] Operation: 113+17=130\nMoving to Node #0,0,0\nCurrent State: 130:[1, 130], Operations: ['86-85=1', '113+17=130']\nExploring Operation: 1*130=130, Resulting Numbers: [130]\n130,130 equal: Goal Reached\nFinal operations:\n86-85=1\n113+17=130\n1*130=130",
"role": "assistant"
}
] |
[
85,
113,
17,
86
] | 130
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [89, 60, 31, 52] and the target 170, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 170:[89, 60, 31, 52], Operations: []\nExploring Operation: 89+60=149, Resulting Numbers: [31, 52, 149]\nGenerated Node #0,0: 170:[31, 52, 149] Operation: 89+60=149\nMoving to Node #0,0\nCurrent State: 170:[31, 52, 149], Operations: ['89+60=149']\nExploring Operation: 31+52=83, Resulting Numbers: [149, 83]\nGenerated Node #0,0,0: 170:[149, 83] Operation: 31+52=83\nMoving to Node #0,0,0\nCurrent State: 170:[149, 83], Operations: ['89+60=149', '31+52=83']\nExploring Operation: 149+83=232, Resulting Numbers: [232]\n232,170 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 170:[149, 83], Operations: ['89+60=149', '31+52=83']\nExploring Operation: 149-83=66, Resulting Numbers: [66]\n66,170 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 170:[31, 52, 149], Operations: ['89+60=149']\nExploring Operation: 31+149=180, Resulting Numbers: [52, 180]\nGenerated Node #0,0,1: 170:[52, 180] Operation: 31+149=180\nMoving to Node #0,0,1\nCurrent State: 170:[52, 180], Operations: ['89+60=149', '31+149=180']\nExploring Operation: 180-52=128, Resulting Numbers: [128]\n128,170 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 170:[52, 180], Operations: ['89+60=149', '31+149=180']\nExploring Operation: 52+180=232, Resulting Numbers: [232]\n232,170 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 170:[31, 52, 149], Operations: ['89+60=149']\nExploring Operation: 52-31=21, Resulting Numbers: [149, 21]\nGenerated Node #0,0,2: 170:[149, 21] Operation: 52-31=21\nMoving to Node #0,0,2\nCurrent State: 170:[149, 21], Operations: ['89+60=149', '52-31=21']\nExploring Operation: 149+21=170, Resulting Numbers: [170]\n170,170 equal: Goal Reached\nFinal operations:\n89+60=149\n52-31=21\n149+21=170",
"role": "assistant"
}
] |
[
89,
60,
31,
52
] | 170
|
dfs
|
sum_heuristic
| 0.991319
|
[
{
"content": "Given the numbers [116, 3, 175, 21] and the target 77, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 77:[116, 3, 175, 21], Operations: []\nExploring Operation: 175-116=59, Resulting Numbers: [3, 21, 59]\nGenerated Node #0,0: 77:[3, 21, 59] Operation: 175-116=59\nMoving to Node #0,0\nCurrent State: 77:[3, 21, 59], Operations: ['175-116=59']\nExploring Operation: 21+59=80, Resulting Numbers: [3, 80]\nGenerated Node #0,0,0: 77:[3, 80] Operation: 21+59=80\nMoving to Node #0,0,0\nCurrent State: 77:[3, 80], Operations: ['175-116=59', '21+59=80']\nExploring Operation: 80-3=77, Resulting Numbers: [77]\n77,77 equal: Goal Reached\nFinal operations:\n175-116=59\n21+59=80\n80-3=77",
"role": "assistant"
}
] |
[
116,
3,
175,
21
] | 77
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [103, 17, 62, 153] and the target 50, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 50:[103, 17, 62, 153], Operations: []\nExploring Operation: 153-103=50, Resulting Numbers: [17, 62, 50]\nGenerated Node #0,0: 50:[17, 62, 50] Operation: 153-103=50\nMoving to Node #0,0\nCurrent State: 50:[17, 62, 50], Operations: ['153-103=50']\nExploring Operation: 62-17=45, Resulting Numbers: [50, 45]\nGenerated Node #0,0,0: 50:[50, 45] Operation: 62-17=45\nMoving to Node #0,0,0\nCurrent State: 50:[50, 45], Operations: ['153-103=50', '62-17=45']\nExploring Operation: 50+45=95, Resulting Numbers: [95]\n95,50 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 50:[50, 45], Operations: ['153-103=50', '62-17=45']\nExploring Operation: 50-45=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[17, 62, 50], Operations: ['153-103=50']\nExploring Operation: 17+62=79, Resulting Numbers: [50, 79]\nGenerated Node #0,0,1: 50:[50, 79] Operation: 17+62=79\nMoving to Node #0,0,1\nCurrent State: 50:[50, 79], Operations: ['153-103=50', '17+62=79']\nExploring Operation: 79-50=29, Resulting Numbers: [29]\n29,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[17, 62, 50], Operations: ['153-103=50']\nExploring Operation: 17+50=67, Resulting Numbers: [62, 67]\nGenerated Node #0,0,2: 50:[62, 67] Operation: 17+50=67\nMoving to Node #0,0,2\nCurrent State: 50:[62, 67], Operations: ['153-103=50', '17+50=67']\nExploring Operation: 67-62=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[17, 62, 50], Operations: ['153-103=50']\nExploring Operation: 50-17=33, Resulting Numbers: [62, 33]\nGenerated Node #0,0,3: 50:[62, 33] Operation: 50-17=33\nMoving to Node #0,0,3\nCurrent State: 50:[62, 33], Operations: ['153-103=50', '50-17=33']\nExploring Operation: 62-33=29, Resulting Numbers: [29]\n29,50 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 50:[62, 33], Operations: ['153-103=50', '50-17=33']\nExploring Operation: 62+33=95, Resulting Numbers: [95]\n95,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[17, 62, 50], Operations: ['153-103=50']\nExploring Operation: 62-50=12, Resulting Numbers: [17, 12]\nGenerated Node #0,0,4: 50:[17, 12] Operation: 62-50=12\nMoving to Node #0,0,4\nCurrent State: 50:[17, 12], Operations: ['153-103=50', '62-50=12']\nExploring Operation: 17+12=29, Resulting Numbers: [29]\n29,50 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 50:[17, 12], Operations: ['153-103=50', '62-50=12']\nExploring Operation: 17-12=5, Resulting Numbers: [5]\n5,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[17, 62, 50], Operations: ['153-103=50']\nExploring Operation: 62+50=112, Resulting Numbers: [17, 112]\nGenerated Node #0,0,5: 50:[17, 112] Operation: 62+50=112\nMoving to Node #0,0,5\nCurrent State: 50:[17, 112], Operations: ['153-103=50', '62+50=112']\nExploring Operation: 112-17=95, Resulting Numbers: [95]\n95,50 unequal: No Solution\nMoving to Node #0\nCurrent State: 50:[103, 17, 62, 153], Operations: []\nExploring Operation: 153/17=9, Resulting Numbers: [103, 62, 9]\nGenerated Node #0,1: 50:[103, 62, 9] Operation: 153/17=9\nMoving to Node #0,1\nCurrent State: 50:[103, 62, 9], Operations: ['153/17=9']\nExploring Operation: 103-62=41, Resulting Numbers: [9, 41]\nGenerated Node #0,1,0: 50:[9, 41] Operation: 103-62=41\nMoving to Node #0,1,0\nCurrent State: 50:[9, 41], Operations: ['153/17=9', '103-62=41']\nExploring Operation: 9+41=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached\nFinal operations:\n153/17=9\n103-62=41\n9+41=50",
"role": "assistant"
}
] |
[
103,
17,
62,
153
] | 50
|
dfs
|
sum_heuristic
| 0.982639
|
[
{
"content": "Given the numbers [78, 168, 166, 141] and the target 61, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 61:[78, 168, 166, 141], Operations: []\nExploring Operation: 168-166=2, Resulting Numbers: [78, 141, 2]\nGenerated Node #0,0: 61:[78, 141, 2] Operation: 168-166=2\nMoving to Node #0,0\nCurrent State: 61:[78, 141, 2], Operations: ['168-166=2']\nExploring Operation: 141-78=63, Resulting Numbers: [2, 63]\nGenerated Node #0,0,0: 61:[2, 63] Operation: 141-78=63\nMoving to Node #0,0,0\nCurrent State: 61:[2, 63], Operations: ['168-166=2', '141-78=63']\nExploring Operation: 63-2=61, Resulting Numbers: [61]\n61,61 equal: Goal Reached\nFinal operations:\n168-166=2\n141-78=63\n63-2=61",
"role": "assistant"
}
] |
[
78,
168,
166,
141
] | 61
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [17, 85, 30, 119] and the target 21, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 21:[17, 85, 30, 119], Operations: []\nExploring Operation: 119-85=34, Resulting Numbers: [17, 30, 34]\nGenerated Node #0,0: 21:[17, 30, 34] Operation: 119-85=34\nMoving to Node #0,0\nCurrent State: 21:[17, 30, 34], Operations: ['119-85=34']\nExploring Operation: 34-17=17, Resulting Numbers: [30, 17]\nGenerated Node #0,0,0: 21:[30, 17] Operation: 34-17=17\nMoving to Node #0,0,0\nCurrent State: 21:[30, 17], Operations: ['119-85=34', '34-17=17']\nExploring Operation: 30-17=13, Resulting Numbers: [13]\n13,21 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 21:[17, 30, 34], Operations: ['119-85=34']\nExploring Operation: 30-17=13, Resulting Numbers: [34, 13]\nGenerated Node #0,0,1: 21:[34, 13] Operation: 30-17=13\nMoving to Node #0,0,1\nCurrent State: 21:[34, 13], Operations: ['119-85=34', '30-17=13']\nExploring Operation: 34-13=21, Resulting Numbers: [21]\n21,21 equal: Goal Reached\nFinal operations:\n119-85=34\n30-17=13\n34-13=21",
"role": "assistant"
}
] |
[
17,
85,
30,
119
] | 21
|
dfs
|
sum_heuristic
| 0.994792
|
[
{
"content": "Given the numbers [124, 82, 103, 91] and the target 189, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 189:[124, 82, 103, 91], Operations: []\nExploring Operation: 124-103=21, Resulting Numbers: [82, 91, 21]\nGenerated Node #0,0: 189:[82, 91, 21] Operation: 124-103=21\nMoving to Node #0,0\nCurrent State: 189:[82, 91, 21], Operations: ['124-103=21']\nExploring Operation: 91-82=9, Resulting Numbers: [21, 9]\nGenerated Node #0,0,0: 189:[21, 9] Operation: 91-82=9\nMoving to Node #0,0,0\nCurrent State: 189:[21, 9], Operations: ['124-103=21', '91-82=9']\nExploring Operation: 21*9=189, Resulting Numbers: [189]\n189,189 equal: Goal Reached\nFinal operations:\n124-103=21\n91-82=9\n21*9=189",
"role": "assistant"
}
] |
[
124,
82,
103,
91
] | 189
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [87, 69, 109, 13] and the target 114, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 114:[87, 69, 109, 13], Operations: []\nExploring Operation: 87-69=18, Resulting Numbers: [109, 13, 18]\nGenerated Node #0,0: 114:[109, 13, 18] Operation: 87-69=18\nMoving to Node #0,0\nCurrent State: 114:[109, 13, 18], Operations: ['87-69=18']\nExploring Operation: 18-13=5, Resulting Numbers: [109, 5]\nGenerated Node #0,0,0: 114:[109, 5] Operation: 18-13=5\nMoving to Node #0,0,0\nCurrent State: 114:[109, 5], Operations: ['87-69=18', '18-13=5']\nExploring Operation: 109+5=114, Resulting Numbers: [114]\n114,114 equal: Goal Reached\nFinal operations:\n87-69=18\n18-13=5\n109+5=114",
"role": "assistant"
}
] |
[
87,
69,
109,
13
] | 114
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [55, 62, 142, 62] and the target 88, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 88:[55, 62, 142, 62], Operations: []\nExploring Operation: 142-55=87, Resulting Numbers: [62, 62, 87]\nGenerated Node #0,0: 88:[62, 62, 87] Operation: 142-55=87\nMoving to Node #0,0\nCurrent State: 88:[62, 62, 87], Operations: ['142-55=87']\nExploring Operation: 62/62=1, Resulting Numbers: [87, 1]\nGenerated Node #0,0,0: 88:[87, 1] Operation: 62/62=1\nMoving to Node #0,0,0\nCurrent State: 88:[87, 1], Operations: ['142-55=87', '62/62=1']\nExploring Operation: 87+1=88, Resulting Numbers: [88]\n88,88 equal: Goal Reached\nFinal operations:\n142-55=87\n62/62=1\n87+1=88",
"role": "assistant"
}
] |
[
55,
62,
142,
62
] | 88
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [107, 6, 101, 159] and the target 158, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 158:[107, 6, 101, 159], Operations: []\nExploring Operation: 107-101=6, Resulting Numbers: [6, 159, 6]\nGenerated Node #0,0: 158:[6, 159, 6] Operation: 107-101=6\nMoving to Node #0,0\nCurrent State: 158:[6, 159, 6], Operations: ['107-101=6']\nExploring Operation: 6/6=1, Resulting Numbers: [159, 1]\nGenerated Node #0,0,0: 158:[159, 1] Operation: 6/6=1\nMoving to Node #0,0,0\nCurrent State: 158:[159, 1], Operations: ['107-101=6', '6/6=1']\nExploring Operation: 159-1=158, Resulting Numbers: [158]\n158,158 equal: Goal Reached\nFinal operations:\n107-101=6\n6/6=1\n159-1=158",
"role": "assistant"
}
] |
[
107,
6,
101,
159
] | 158
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [29, 184, 95, 141] and the target 109, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 109:[29, 184, 95, 141], Operations: []\nExploring Operation: 141-29=112, Resulting Numbers: [184, 95, 112]\nGenerated Node #0,0: 109:[184, 95, 112] Operation: 141-29=112\nExploring Operation: 184-29=155, Resulting Numbers: [95, 141, 155]\nGenerated Node #0,1: 109:[95, 141, 155] Operation: 184-29=155\nMoving to Node #0,0\nCurrent State: 109:[184, 95, 112], Operations: ['141-29=112']\nExploring Operation: 184-112=72, Resulting Numbers: [95, 72]\nGenerated Node #0,0,0: 109:[95, 72] Operation: 184-112=72\nExploring Operation: 184-95=89, Resulting Numbers: [112, 89]\nGenerated Node #0,0,1: 109:[112, 89] Operation: 184-95=89\nMoving to Node #0,1\nCurrent State: 109:[95, 141, 155], Operations: ['184-29=155']\nExploring Operation: 155-95=60, Resulting Numbers: [141, 60]\nGenerated Node #0,1,0: 109:[141, 60] Operation: 155-95=60\nExploring Operation: 141-95=46, Resulting Numbers: [155, 46]\nGenerated Node #0,1,1: 109:[155, 46] Operation: 141-95=46\nMoving to Node #0,0,1\nCurrent State: 109:[112, 89], Operations: ['141-29=112', '184-95=89']\nExploring Operation: 112+89=201, Resulting Numbers: [201]\n201,109 unequal: No Solution\nExploring Operation: 112-89=23, Resulting Numbers: [23]\n23,109 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 109:[95, 72], Operations: ['141-29=112', '184-112=72']\nExploring Operation: 95-72=23, Resulting Numbers: [23]\n23,109 unequal: No Solution\nExploring Operation: 95+72=167, Resulting Numbers: [167]\n167,109 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 109:[167], Operations: ['141-29=112', '184-112=72', '95+72=167']\nMoving to Node #0,1,0\nCurrent State: 109:[141, 60], Operations: ['184-29=155', '155-95=60']\nExploring Operation: 141-60=81, Resulting Numbers: [81]\n81,109 unequal: No Solution\nExploring Operation: 141+60=201, Resulting Numbers: [201]\n201,109 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 109:[81], Operations: ['184-29=155', '155-95=60', '141-60=81']\nMoving to Node #0,0,1,0\nCurrent State: 109:[23], Operations: ['141-29=112', '184-95=89', '112-89=23']\nMoving to Node #0,0,0,0\nCurrent State: 109:[23], Operations: ['141-29=112', '184-112=72', '95-72=23']\nMoving to Node #0,0,1,0\nCurrent State: 109:[201], Operations: ['141-29=112', '184-95=89', '112+89=201']\nMoving to Node #0,1,0,0\nCurrent State: 109:[201], Operations: ['184-29=155', '155-95=60', '141+60=201']\nMoving to Node #0,1,1\nCurrent State: 109:[155, 46], Operations: ['184-29=155', '141-95=46']\nExploring Operation: 155+46=201, Resulting Numbers: [201]\n201,109 unequal: No Solution\nExploring Operation: 155-46=109, Resulting Numbers: [109]\n109,109 equal: Goal Reached\nFinal operations:\n184-29=155\n141-95=46\n155-46=109",
"role": "assistant"
}
] |
[
29,
184,
95,
141
] | 109
|
bfs_2
|
mult_heuristic
| 0.986979
|
[
{
"content": "Given the numbers [140, 141, 43, 108] and the target 152, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 152:[140, 141, 43, 108], Operations: []\nExploring Operation: 43+108=151, Resulting Numbers: [140, 141, 151]\nGenerated Node #0,0: 152:[140, 141, 151] Operation: 43+108=151\nMoving to Node #0,0\nCurrent State: 152:[140, 141, 151], Operations: ['43+108=151']\nExploring Operation: 140+141=281, Resulting Numbers: [151, 281]\nGenerated Node #0,0,0: 152:[151, 281] Operation: 140+141=281\nMoving to Node #0,0,0\nCurrent State: 152:[151, 281], Operations: ['43+108=151', '140+141=281']\nExploring Operation: 281-151=130, Resulting Numbers: [130]\n130,152 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 152:[140, 141, 151], Operations: ['43+108=151']\nExploring Operation: 140+151=291, Resulting Numbers: [141, 291]\nGenerated Node #0,0,1: 152:[141, 291] Operation: 140+151=291\nMoving to Node #0,0,1\nCurrent State: 152:[141, 291], Operations: ['43+108=151', '140+151=291']\nExploring Operation: 291-141=150, Resulting Numbers: [150]\n150,152 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 152:[140, 141, 151], Operations: ['43+108=151']\nExploring Operation: 141-140=1, Resulting Numbers: [151, 1]\nGenerated Node #0,0,2: 152:[151, 1] Operation: 141-140=1\nMoving to Node #0,0,2\nCurrent State: 152:[151, 1], Operations: ['43+108=151', '141-140=1']\nExploring Operation: 151+1=152, Resulting Numbers: [152]\n152,152 equal: Goal Reached\nFinal operations:\n43+108=151\n141-140=1\n151+1=152",
"role": "assistant"
}
] |
[
140,
141,
43,
108
] | 152
|
dfs
|
sum_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [18, 95, 180, 23] and the target 135, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 135:[18, 95, 180, 23], Operations: []\nExploring Operation: 180/18=10, Resulting Numbers: [95, 23, 10]\nGenerated Node #0,0: 135:[95, 23, 10] Operation: 180/18=10\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 95+23=118, Resulting Numbers: [10, 118]\nGenerated Node #0,0,0: 135:[10, 118] Operation: 95+23=118\nMoving to Node #0,0,0\nCurrent State: 135:[10, 118], Operations: ['180/18=10', '95+23=118']\nExploring Operation: 10+118=128, Resulting Numbers: [128]\n128,135 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 135:[10, 118], Operations: ['180/18=10', '95+23=118']\nExploring Operation: 118-10=108, Resulting Numbers: [108]\n108,135 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 95-23=72, Resulting Numbers: [10, 72]\nGenerated Node #0,0,1: 135:[10, 72] Operation: 95-23=72\nMoving to Node #0,0,1\nCurrent State: 135:[10, 72], Operations: ['180/18=10', '95-23=72']\nExploring Operation: 72-10=62, Resulting Numbers: [62]\n62,135 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 135:[10, 72], Operations: ['180/18=10', '95-23=72']\nExploring Operation: 10+72=82, Resulting Numbers: [82]\n82,135 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 95+10=105, Resulting Numbers: [23, 105]\nGenerated Node #0,0,2: 135:[23, 105] Operation: 95+10=105\nMoving to Node #0,0,2\nCurrent State: 135:[23, 105], Operations: ['180/18=10', '95+10=105']\nExploring Operation: 23+105=128, Resulting Numbers: [128]\n128,135 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 135:[23, 105], Operations: ['180/18=10', '95+10=105']\nExploring Operation: 105-23=82, Resulting Numbers: [82]\n82,135 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 23-10=13, Resulting Numbers: [95, 13]\nGenerated Node #0,0,3: 135:[95, 13] Operation: 23-10=13\nMoving to Node #0,0,3\nCurrent State: 135:[95, 13], Operations: ['180/18=10', '23-10=13']\nExploring Operation: 95+13=108, Resulting Numbers: [108]\n108,135 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 135:[95, 13], Operations: ['180/18=10', '23-10=13']\nExploring Operation: 95-13=82, Resulting Numbers: [82]\n82,135 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 95-10=85, Resulting Numbers: [23, 85]\nGenerated Node #0,0,4: 135:[23, 85] Operation: 95-10=85\nMoving to Node #0,0,4\nCurrent State: 135:[23, 85], Operations: ['180/18=10', '95-10=85']\nExploring Operation: 85-23=62, Resulting Numbers: [62]\n62,135 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 135:[23, 85], Operations: ['180/18=10', '95-10=85']\nExploring Operation: 23+85=108, Resulting Numbers: [108]\n108,135 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 23+10=33, Resulting Numbers: [95, 33]\nGenerated Node #0,0,5: 135:[95, 33] Operation: 23+10=33\nMoving to Node #0,0,5\nCurrent State: 135:[95, 33], Operations: ['180/18=10', '23+10=33']\nExploring Operation: 95+33=128, Resulting Numbers: [128]\n128,135 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 135:[95, 33], Operations: ['180/18=10', '23+10=33']\nExploring Operation: 95-33=62, Resulting Numbers: [62]\n62,135 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 135:[95, 23, 10], Operations: ['180/18=10']\nExploring Operation: 23*10=230, Resulting Numbers: [95, 230]\nGenerated Node #0,0,6: 135:[95, 230] Operation: 23*10=230\nMoving to Node #0,0,6\nCurrent State: 135:[95, 230], Operations: ['180/18=10', '23*10=230']\nExploring Operation: 230-95=135, Resulting Numbers: [135]\n135,135 equal: Goal Reached\nFinal operations:\n180/18=10\n23*10=230\n230-95=135",
"role": "assistant"
}
] |
[
18,
95,
180,
23
] | 135
|
dfs
|
mult_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [10, 110, 50, 125] and the target 55, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 55:[10, 110, 50, 125], Operations: []\nExploring Operation: 125-110=15, Resulting Numbers: [10, 50, 15]\nGenerated Node #0,0: 55:[10, 50, 15] Operation: 125-110=15\nMoving to Node #0,0\nCurrent State: 55:[10, 50, 15], Operations: ['125-110=15']\nExploring Operation: 50/10=5, Resulting Numbers: [15, 5]\nGenerated Node #0,0,0: 55:[15, 5] Operation: 50/10=5\nMoving to Node #0,0,0\nCurrent State: 55:[15, 5], Operations: ['125-110=15', '50/10=5']\nExploring Operation: 15-5=10, Resulting Numbers: [10]\n10,55 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 55:[15, 5], Operations: ['125-110=15', '50/10=5']\nExploring Operation: 15/5=3, Resulting Numbers: [3]\n3,55 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 55:[15, 5], Operations: ['125-110=15', '50/10=5']\nExploring Operation: 15+5=20, Resulting Numbers: [20]\n20,55 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 55:[15, 5], Operations: ['125-110=15', '50/10=5']\nExploring Operation: 15*5=75, Resulting Numbers: [75]\n75,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[10, 50, 15], Operations: ['125-110=15']\nExploring Operation: 15-10=5, Resulting Numbers: [50, 5]\nGenerated Node #0,0,1: 55:[50, 5] Operation: 15-10=5\nMoving to Node #0,0,1\nCurrent State: 55:[50, 5], Operations: ['125-110=15', '15-10=5']\nExploring Operation: 50+5=55, Resulting Numbers: [55]\n55,55 equal: Goal Reached\nFinal operations:\n125-110=15\n15-10=5\n50+5=55",
"role": "assistant"
}
] |
[
10,
110,
50,
125
] | 55
|
dfs
|
mult_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [178, 154, 164, 105] and the target 83, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 83:[178, 154, 164, 105], Operations: []\nExploring Operation: 178-164=14, Resulting Numbers: [154, 105, 14]\nGenerated Node #0,0: 83:[154, 105, 14] Operation: 178-164=14\nExploring Operation: 178-154=24, Resulting Numbers: [164, 105, 24]\nGenerated Node #0,1: 83:[164, 105, 24] Operation: 178-154=24\nMoving to Node #0,0\nCurrent State: 83:[154, 105, 14], Operations: ['178-164=14']\nExploring Operation: 154-14=140, Resulting Numbers: [105, 140]\nGenerated Node #0,0,0: 83:[105, 140] Operation: 154-14=140\nExploring Operation: 105-14=91, Resulting Numbers: [154, 91]\nGenerated Node #0,0,1: 83:[154, 91] Operation: 105-14=91\nMoving to Node #0,1\nCurrent State: 83:[164, 105, 24], Operations: ['178-154=24']\nExploring Operation: 164-105=59, Resulting Numbers: [24, 59]\nGenerated Node #0,1,0: 83:[24, 59] Operation: 164-105=59\nExploring Operation: 164-24=140, Resulting Numbers: [105, 140]\nGenerated Node #0,1,1: 83:[105, 140] Operation: 164-24=140\nMoving to Node #0,0,0\nCurrent State: 83:[105, 140], Operations: ['178-164=14', '154-14=140']\nExploring Operation: 140-105=35, Resulting Numbers: [35]\n35,83 unequal: No Solution\nExploring Operation: 105+140=245, Resulting Numbers: [245]\n245,83 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 83:[105, 140], Operations: ['178-154=24', '164-24=140']\nExploring Operation: 105+140=245, Resulting Numbers: [245]\n245,83 unequal: No Solution\nExploring Operation: 140-105=35, Resulting Numbers: [35]\n35,83 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 83:[154, 91], Operations: ['178-164=14', '105-14=91']\nExploring Operation: 154+91=245, Resulting Numbers: [245]\n245,83 unequal: No Solution\nExploring Operation: 154-91=63, Resulting Numbers: [63]\n63,83 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 83:[24, 59], Operations: ['178-154=24', '164-105=59']\nExploring Operation: 59-24=35, Resulting Numbers: [35]\n35,83 unequal: No Solution\nExploring Operation: 24+59=83, Resulting Numbers: [83]\n83,83 equal: Goal Reached\nFinal operations:\n178-154=24\n164-105=59\n24+59=83",
"role": "assistant"
}
] |
[
178,
154,
164,
105
] | 83
|
bfs_2
|
sum_heuristic
| 0.986979
|
[
{
"content": "Given the numbers [54, 41, 40, 5] and the target 87, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 87:[54, 41, 40, 5], Operations: []\nExploring Operation: 54+41=95, Resulting Numbers: [40, 5, 95]\nGenerated Node #0,0: 87:[40, 5, 95] Operation: 54+41=95\nMoving to Node #0,0\nCurrent State: 87:[40, 5, 95], Operations: ['54+41=95']\nExploring Operation: 40/5=8, Resulting Numbers: [95, 8]\nGenerated Node #0,0,0: 87:[95, 8] Operation: 40/5=8\nMoving to Node #0,0,0\nCurrent State: 87:[95, 8], Operations: ['54+41=95', '40/5=8']\nExploring Operation: 95-8=87, Resulting Numbers: [87]\n87,87 equal: Goal Reached\nFinal operations:\n54+41=95\n40/5=8\n95-8=87",
"role": "assistant"
}
] |
[
54,
41,
40,
5
] | 87
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [70, 164, 32, 84] and the target 22, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 22:[70, 164, 32, 84], Operations: []\nExploring Operation: 164-84=80, Resulting Numbers: [70, 32, 80]\nGenerated Node #0,0: 22:[70, 32, 80] Operation: 164-84=80\nExploring Operation: 164-70=94, Resulting Numbers: [32, 84, 94]\nGenerated Node #0,1: 22:[32, 84, 94] Operation: 164-70=94\nMoving to Node #0,0\nCurrent State: 22:[70, 32, 80], Operations: ['164-84=80']\nExploring Operation: 80-70=10, Resulting Numbers: [32, 10]\nGenerated Node #0,0,0: 22:[32, 10] Operation: 80-70=10\nExploring Operation: 70-32=38, Resulting Numbers: [80, 38]\nGenerated Node #0,0,1: 22:[80, 38] Operation: 70-32=38\nMoving to Node #0,1\nCurrent State: 22:[32, 84, 94], Operations: ['164-70=94']\nExploring Operation: 94-84=10, Resulting Numbers: [32, 10]\nGenerated Node #0,1,0: 22:[32, 10] Operation: 94-84=10\nExploring Operation: 84-32=52, Resulting Numbers: [94, 52]\nGenerated Node #0,1,1: 22:[94, 52] Operation: 84-32=52\nMoving to Node #0,0,0\nCurrent State: 22:[32, 10], Operations: ['164-84=80', '80-70=10']\nExploring Operation: 32-10=22, Resulting Numbers: [22]\n22,22 equal: Goal Reached\nFinal operations:\n164-84=80\n80-70=10\n32-10=22",
"role": "assistant"
}
] |
[
70,
164,
32,
84
] | 22
|
bfs_2
|
mult_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [77, 145, 134, 46] and the target 53, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 53:[77, 145, 134, 46], Operations: []\nExploring Operation: 145-134=11, Resulting Numbers: [77, 46, 11]\nGenerated Node #0,0: 53:[77, 46, 11] Operation: 145-134=11\nMoving to Node #0,0\nCurrent State: 53:[77, 46, 11], Operations: ['145-134=11']\nExploring Operation: 77-11=66, Resulting Numbers: [46, 66]\nGenerated Node #0,0,0: 53:[46, 66] Operation: 77-11=66\nMoving to Node #0,0,0\nCurrent State: 53:[46, 66], Operations: ['145-134=11', '77-11=66']\nExploring Operation: 66-46=20, Resulting Numbers: [20]\n20,53 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 53:[77, 46, 11], Operations: ['145-134=11']\nExploring Operation: 46+11=57, Resulting Numbers: [77, 57]\nGenerated Node #0,0,1: 53:[77, 57] Operation: 46+11=57\nMoving to Node #0,0,1\nCurrent State: 53:[77, 57], Operations: ['145-134=11', '46+11=57']\nExploring Operation: 77-57=20, Resulting Numbers: [20]\n20,53 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 53:[77, 46, 11], Operations: ['145-134=11']\nExploring Operation: 77+11=88, Resulting Numbers: [46, 88]\nGenerated Node #0,0,2: 53:[46, 88] Operation: 77+11=88\nMoving to Node #0,0,2\nCurrent State: 53:[46, 88], Operations: ['145-134=11', '77+11=88']\nExploring Operation: 88-46=42, Resulting Numbers: [42]\n42,53 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 53:[77, 46, 11], Operations: ['145-134=11']\nExploring Operation: 46-11=35, Resulting Numbers: [77, 35]\nGenerated Node #0,0,3: 53:[77, 35] Operation: 46-11=35\nMoving to Node #0,0,3\nCurrent State: 53:[77, 35], Operations: ['145-134=11', '46-11=35']\nExploring Operation: 77-35=42, Resulting Numbers: [42]\n42,53 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 53:[77, 46, 11], Operations: ['145-134=11']\nExploring Operation: 77/11=7, Resulting Numbers: [46, 7]\nGenerated Node #0,0,4: 53:[46, 7] Operation: 77/11=7\nMoving to Node #0,0,4\nCurrent State: 53:[46, 7], Operations: ['145-134=11', '77/11=7']\nExploring Operation: 46+7=53, Resulting Numbers: [53]\n53,53 equal: Goal Reached\nFinal operations:\n145-134=11\n77/11=7\n46+7=53",
"role": "assistant"
}
] |
[
77,
145,
134,
46
] | 53
|
dfs
|
sum_heuristic
| 0.989583
|
[
{
"content": "Given the numbers [22, 85, 95, 62] and the target 50, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 50:[22, 85, 95, 62], Operations: []\nExploring Operation: 95-85=10, Resulting Numbers: [22, 62, 10]\nGenerated Node #0,0: 50:[22, 62, 10] Operation: 95-85=10\nMoving to Node #0,0\nCurrent State: 50:[22, 62, 10], Operations: ['95-85=10']\nExploring Operation: 62-10=52, Resulting Numbers: [22, 52]\nGenerated Node #0,0,0: 50:[22, 52] Operation: 62-10=52\nMoving to Node #0,0,0\nCurrent State: 50:[22, 52], Operations: ['95-85=10', '62-10=52']\nExploring Operation: 52-22=30, Resulting Numbers: [30]\n30,50 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 50:[22, 52], Operations: ['95-85=10', '62-10=52']\nExploring Operation: 22+52=74, Resulting Numbers: [74]\n74,50 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 50:[22, 62, 10], Operations: ['95-85=10']\nExploring Operation: 62-22=40, Resulting Numbers: [10, 40]\nGenerated Node #0,0,1: 50:[10, 40] Operation: 62-22=40\nMoving to Node #0,0,1\nCurrent State: 50:[10, 40], Operations: ['95-85=10', '62-22=40']\nExploring Operation: 10+40=50, Resulting Numbers: [50]\n50,50 equal: Goal Reached\nFinal operations:\n95-85=10\n62-22=40\n10+40=50",
"role": "assistant"
}
] |
[
22,
85,
95,
62
] | 50
|
dfs
|
mult_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [62, 197, 24, 41] and the target 200, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 200:[62, 197, 24, 41], Operations: []\nExploring Operation: 62-41=21, Resulting Numbers: [197, 24, 21]\nGenerated Node #0,0: 200:[197, 24, 21] Operation: 62-41=21\nMoving to Node #0,0\nCurrent State: 200:[197, 24, 21], Operations: ['62-41=21']\nExploring Operation: 24-21=3, Resulting Numbers: [197, 3]\nGenerated Node #0,0,0: 200:[197, 3] Operation: 24-21=3\nMoving to Node #0,0,0\nCurrent State: 200:[197, 3], Operations: ['62-41=21', '24-21=3']\nExploring Operation: 197+3=200, Resulting Numbers: [200]\n200,200 equal: Goal Reached\nFinal operations:\n62-41=21\n24-21=3\n197+3=200",
"role": "assistant"
}
] |
[
62,
197,
24,
41
] | 200
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [95, 136, 115, 183] and the target 163, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 163:[95, 136, 115, 183], Operations: []\nExploring Operation: 95+115=210, Resulting Numbers: [136, 183, 210]\nGenerated Node #0,0: 163:[136, 183, 210] Operation: 95+115=210\nMoving to Node #0,0\nCurrent State: 163:[136, 183, 210], Operations: ['95+115=210']\nExploring Operation: 210-136=74, Resulting Numbers: [183, 74]\nGenerated Node #0,0,0: 163:[183, 74] Operation: 210-136=74\nMoving to Node #0,0,0\nCurrent State: 163:[183, 74], Operations: ['95+115=210', '210-136=74']\nExploring Operation: 183-74=109, Resulting Numbers: [109]\n109,163 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 163:[183, 74], Operations: ['95+115=210', '210-136=74']\nExploring Operation: 183+74=257, Resulting Numbers: [257]\n257,163 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 163:[136, 183, 210], Operations: ['95+115=210']\nExploring Operation: 183-136=47, Resulting Numbers: [210, 47]\nGenerated Node #0,0,1: 163:[210, 47] Operation: 183-136=47\nMoving to Node #0,0,1\nCurrent State: 163:[210, 47], Operations: ['95+115=210', '183-136=47']\nExploring Operation: 210-47=163, Resulting Numbers: [163]\n163,163 equal: Goal Reached\nFinal operations:\n95+115=210\n183-136=47\n210-47=163",
"role": "assistant"
}
] |
[
95,
136,
115,
183
] | 163
|
dfs
|
sum_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [156, 175, 101, 34] and the target 154, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 154:[156, 175, 101, 34], Operations: []\nExploring Operation: 101+34=135, Resulting Numbers: [156, 175, 135]\nGenerated Node #0,0: 154:[156, 175, 135] Operation: 101+34=135\nMoving to Node #0,0\nCurrent State: 154:[156, 175, 135], Operations: ['101+34=135']\nExploring Operation: 175-135=40, Resulting Numbers: [156, 40]\nGenerated Node #0,0,0: 154:[156, 40] Operation: 175-135=40\nMoving to Node #0,0,0\nCurrent State: 154:[156, 40], Operations: ['101+34=135', '175-135=40']\nExploring Operation: 156-40=116, Resulting Numbers: [116]\n116,154 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 154:[156, 40], Operations: ['101+34=135', '175-135=40']\nExploring Operation: 156+40=196, Resulting Numbers: [196]\n196,154 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 154:[156, 175, 135], Operations: ['101+34=135']\nExploring Operation: 175-156=19, Resulting Numbers: [135, 19]\nGenerated Node #0,0,1: 154:[135, 19] Operation: 175-156=19\nMoving to Node #0,0,1\nCurrent State: 154:[135, 19], Operations: ['101+34=135', '175-156=19']\nExploring Operation: 135+19=154, Resulting Numbers: [154]\n154,154 equal: Goal Reached\nFinal operations:\n101+34=135\n175-156=19\n135+19=154",
"role": "assistant"
}
] |
[
156,
175,
101,
34
] | 154
|
dfs
|
sum_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [1, 97, 95, 63] and the target 126, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 126:[1, 97, 95, 63], Operations: []\nExploring Operation: 97-95=2, Resulting Numbers: [1, 63, 2]\nGenerated Node #0,0: 126:[1, 63, 2] Operation: 97-95=2\nMoving to Node #0,0\nCurrent State: 126:[1, 63, 2], Operations: ['97-95=2']\nExploring Operation: 1*63=63, Resulting Numbers: [2, 63]\nGenerated Node #0,0,0: 126:[2, 63] Operation: 1*63=63\nMoving to Node #0,0,0\nCurrent State: 126:[2, 63], Operations: ['97-95=2', '1*63=63']\nExploring Operation: 2*63=126, Resulting Numbers: [126]\n126,126 equal: Goal Reached\nFinal operations:\n97-95=2\n1*63=63\n2*63=126",
"role": "assistant"
}
] |
[
1,
97,
95,
63
] | 126
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [115, 127, 97, 75] and the target 160, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 160:[115, 127, 97, 75], Operations: []\nExploring Operation: 97+75=172, Resulting Numbers: [115, 127, 172]\nGenerated Node #0,0: 160:[115, 127, 172] Operation: 97+75=172\nMoving to Node #0,0\nCurrent State: 160:[115, 127, 172], Operations: ['97+75=172']\nExploring Operation: 115+127=242, Resulting Numbers: [172, 242]\nGenerated Node #0,0,0: 160:[172, 242] Operation: 115+127=242\nMoving to Node #0,0,0\nCurrent State: 160:[172, 242], Operations: ['97+75=172', '115+127=242']\nExploring Operation: 242-172=70, Resulting Numbers: [70]\n70,160 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 160:[115, 127, 172], Operations: ['97+75=172']\nExploring Operation: 172-115=57, Resulting Numbers: [127, 57]\nGenerated Node #0,0,1: 160:[127, 57] Operation: 172-115=57\nMoving to Node #0,0,1\nCurrent State: 160:[127, 57], Operations: ['97+75=172', '172-115=57']\nExploring Operation: 127+57=184, Resulting Numbers: [184]\n184,160 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 160:[127, 57], Operations: ['97+75=172', '172-115=57']\nExploring Operation: 127-57=70, Resulting Numbers: [70]\n70,160 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 160:[115, 127, 172], Operations: ['97+75=172']\nExploring Operation: 127-115=12, Resulting Numbers: [172, 12]\nGenerated Node #0,0,2: 160:[172, 12] Operation: 127-115=12\nMoving to Node #0,0,2\nCurrent State: 160:[172, 12], Operations: ['97+75=172', '127-115=12']\nExploring Operation: 172-12=160, Resulting Numbers: [160]\n160,160 equal: Goal Reached\nFinal operations:\n97+75=172\n127-115=12\n172-12=160",
"role": "assistant"
}
] |
[
115,
127,
97,
75
] | 160
|
dfs
|
sum_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [155, 169, 72, 172] and the target 80, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 80:[155, 169, 72, 172], Operations: []\nExploring Operation: 172-155=17, Resulting Numbers: [169, 72, 17]\nGenerated Node #0,0: 80:[169, 72, 17] Operation: 172-155=17\nMoving to Node #0,0\nCurrent State: 80:[169, 72, 17], Operations: ['172-155=17']\nExploring Operation: 169-72=97, Resulting Numbers: [17, 97]\nGenerated Node #0,0,0: 80:[17, 97] Operation: 169-72=97\nMoving to Node #0,0,0\nCurrent State: 80:[17, 97], Operations: ['172-155=17', '169-72=97']\nExploring Operation: 97-17=80, Resulting Numbers: [80]\n80,80 equal: Goal Reached\nFinal operations:\n172-155=17\n169-72=97\n97-17=80",
"role": "assistant"
}
] |
[
155,
169,
72,
172
] | 80
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [42, 157, 56, 121] and the target 134, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 134:[42, 157, 56, 121], Operations: []\nExploring Operation: 157-42=115, Resulting Numbers: [56, 121, 115]\nGenerated Node #0,0: 134:[56, 121, 115] Operation: 157-42=115\nMoving to Node #0,0\nCurrent State: 134:[56, 121, 115], Operations: ['157-42=115']\nExploring Operation: 121-115=6, Resulting Numbers: [56, 6]\nGenerated Node #0,0,0: 134:[56, 6] Operation: 121-115=6\nMoving to Node #0,0,0\nCurrent State: 134:[56, 6], Operations: ['157-42=115', '121-115=6']\nExploring Operation: 56+6=62, Resulting Numbers: [62]\n62,134 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 134:[56, 6], Operations: ['157-42=115', '121-115=6']\nExploring Operation: 56-6=50, Resulting Numbers: [50]\n50,134 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 134:[56, 121, 115], Operations: ['157-42=115']\nExploring Operation: 121-56=65, Resulting Numbers: [115, 65]\nGenerated Node #0,0,1: 134:[115, 65] Operation: 121-56=65\nMoving to Node #0,0,1\nCurrent State: 134:[115, 65], Operations: ['157-42=115', '121-56=65']\nExploring Operation: 115-65=50, Resulting Numbers: [50]\n50,134 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 134:[115, 65], Operations: ['157-42=115', '121-56=65']\nExploring Operation: 115+65=180, Resulting Numbers: [180]\n180,134 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 134:[56, 121, 115], Operations: ['157-42=115']\nExploring Operation: 115-56=59, Resulting Numbers: [121, 59]\nGenerated Node #0,0,2: 134:[121, 59] Operation: 115-56=59\nMoving to Node #0,0,2\nCurrent State: 134:[121, 59], Operations: ['157-42=115', '115-56=59']\nExploring Operation: 121-59=62, Resulting Numbers: [62]\n62,134 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 134:[121, 59], Operations: ['157-42=115', '115-56=59']\nExploring Operation: 121+59=180, Resulting Numbers: [180]\n180,134 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 134:[56, 121, 115], Operations: ['157-42=115']\nExploring Operation: 56+115=171, Resulting Numbers: [121, 171]\nGenerated Node #0,0,3: 134:[121, 171] Operation: 56+115=171\nMoving to Node #0,0,3\nCurrent State: 134:[121, 171], Operations: ['157-42=115', '56+115=171']\nExploring Operation: 171-121=50, Resulting Numbers: [50]\n50,134 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 134:[56, 121, 115], Operations: ['157-42=115']\nExploring Operation: 56+121=177, Resulting Numbers: [115, 177]\nGenerated Node #0,0,4: 134:[115, 177] Operation: 56+121=177\nMoving to Node #0,0,4\nCurrent State: 134:[115, 177], Operations: ['157-42=115', '56+121=177']\nExploring Operation: 177-115=62, Resulting Numbers: [62]\n62,134 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 134:[56, 121, 115], Operations: ['157-42=115']\nExploring Operation: 121+115=236, Resulting Numbers: [56, 236]\nGenerated Node #0,0,5: 134:[56, 236] Operation: 121+115=236\nMoving to Node #0,0,5\nCurrent State: 134:[56, 236], Operations: ['157-42=115', '121+115=236']\nExploring Operation: 236-56=180, Resulting Numbers: [180]\n180,134 unequal: No Solution\nMoving to Node #0\nCurrent State: 134:[42, 157, 56, 121], Operations: []\nExploring Operation: 121-42=79, Resulting Numbers: [157, 56, 79]\nGenerated Node #0,1: 134:[157, 56, 79] Operation: 121-42=79\nMoving to Node #0,1\nCurrent State: 134:[157, 56, 79], Operations: ['121-42=79']\nExploring Operation: 157-79=78, Resulting Numbers: [56, 78]\nGenerated Node #0,1,0: 134:[56, 78] Operation: 157-79=78\nMoving to Node #0,1,0\nCurrent State: 134:[56, 78], Operations: ['121-42=79', '157-79=78']\nExploring Operation: 56+78=134, Resulting Numbers: [134]\n134,134 equal: Goal Reached\nFinal operations:\n121-42=79\n157-79=78\n56+78=134",
"role": "assistant"
}
] |
[
42,
157,
56,
121
] | 134
|
dfs
|
mult_heuristic
| 0.982639
|
[
{
"content": "Given the numbers [186, 58, 172, 7] and the target 51, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 51:[186, 58, 172, 7], Operations: []\nExploring Operation: 186-172=14, Resulting Numbers: [58, 7, 14]\nGenerated Node #0,0: 51:[58, 7, 14] Operation: 186-172=14\nMoving to Node #0,0\nCurrent State: 51:[58, 7, 14], Operations: ['186-172=14']\nExploring Operation: 58-7=51, Resulting Numbers: [14, 51]\nGenerated Node #0,0,0: 51:[14, 51] Operation: 58-7=51\nMoving to Node #0,0,0\nCurrent State: 51:[14, 51], Operations: ['186-172=14', '58-7=51']\nExploring Operation: 14+51=65, Resulting Numbers: [65]\n65,51 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 51:[14, 51], Operations: ['186-172=14', '58-7=51']\nExploring Operation: 51-14=37, Resulting Numbers: [37]\n37,51 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 51:[58, 7, 14], Operations: ['186-172=14']\nExploring Operation: 14/7=2, Resulting Numbers: [58, 2]\nGenerated Node #0,0,1: 51:[58, 2] Operation: 14/7=2\nMoving to Node #0,0,1\nCurrent State: 51:[58, 2], Operations: ['186-172=14', '14/7=2']\nExploring Operation: 58-2=56, Resulting Numbers: [56]\n56,51 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 51:[58, 2], Operations: ['186-172=14', '14/7=2']\nExploring Operation: 58+2=60, Resulting Numbers: [60]\n60,51 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 51:[58, 2], Operations: ['186-172=14', '14/7=2']\nExploring Operation: 58/2=29, Resulting Numbers: [29]\n29,51 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 51:[58, 7, 14], Operations: ['186-172=14']\nExploring Operation: 58-14=44, Resulting Numbers: [7, 44]\nGenerated Node #0,0,2: 51:[7, 44] Operation: 58-14=44\nMoving to Node #0,0,2\nCurrent State: 51:[7, 44], Operations: ['186-172=14', '58-14=44']\nExploring Operation: 7+44=51, Resulting Numbers: [51]\n51,51 equal: Goal Reached\nFinal operations:\n186-172=14\n58-14=44\n7+44=51",
"role": "assistant"
}
] |
[
186,
58,
172,
7
] | 51
|
dfs
|
mult_heuristic
| 0.990451
|
[
{
"content": "Given the numbers [136, 129, 131, 171] and the target 70, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 70:[136, 129, 131, 171], Operations: []\nExploring Operation: 171-131=40, Resulting Numbers: [136, 129, 40]\nGenerated Node #0,0: 70:[136, 129, 40] Operation: 171-131=40\nExploring Operation: 171-129=42, Resulting Numbers: [136, 131, 42]\nGenerated Node #0,1: 70:[136, 131, 42] Operation: 171-129=42\nExploring Operation: 171-136=35, Resulting Numbers: [129, 131, 35]\nGenerated Node #0,2: 70:[129, 131, 35] Operation: 171-136=35\nMoving to Node #0,2\nCurrent State: 70:[129, 131, 35], Operations: ['171-136=35']\nExploring Operation: 129-35=94, Resulting Numbers: [131, 94]\nGenerated Node #0,2,0: 70:[131, 94] Operation: 129-35=94\nExploring Operation: 131-129=2, Resulting Numbers: [35, 2]\nGenerated Node #0,2,1: 70:[35, 2] Operation: 131-129=2\nExploring Operation: 131-35=96, Resulting Numbers: [129, 96]\nGenerated Node #0,2,2: 70:[129, 96] Operation: 131-35=96\nMoving to Node #0,0\nCurrent State: 70:[136, 129, 40], Operations: ['171-131=40']\nExploring Operation: 129-40=89, Resulting Numbers: [136, 89]\nGenerated Node #0,0,0: 70:[136, 89] Operation: 129-40=89\nExploring Operation: 136-129=7, Resulting Numbers: [40, 7]\nGenerated Node #0,0,1: 70:[40, 7] Operation: 136-129=7\nExploring Operation: 136-40=96, Resulting Numbers: [129, 96]\nGenerated Node #0,0,2: 70:[129, 96] Operation: 136-40=96\nMoving to Node #0,1\nCurrent State: 70:[136, 131, 42], Operations: ['171-129=42']\nExploring Operation: 131-42=89, Resulting Numbers: [136, 89]\nGenerated Node #0,1,0: 70:[136, 89] Operation: 131-42=89\nExploring Operation: 136-131=5, Resulting Numbers: [42, 5]\nGenerated Node #0,1,1: 70:[42, 5] Operation: 136-131=5\nExploring Operation: 136-42=94, Resulting Numbers: [131, 94]\nGenerated Node #0,1,2: 70:[131, 94] Operation: 136-42=94\nMoving to Node #0,2,1\nCurrent State: 70:[35, 2], Operations: ['171-136=35', '131-129=2']\nExploring Operation: 35*2=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached\nFinal operations:\n171-136=35\n131-129=2\n35*2=70",
"role": "assistant"
}
] |
[
136,
129,
131,
171
] | 70
|
bfs_3
|
mult_heuristic
| 0.987847
|
[
{
"content": "Given the numbers [195, 146, 180, 49] and the target 179, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 179:[195, 146, 180, 49], Operations: []\nExploring Operation: 146+49=195, Resulting Numbers: [195, 180, 195]\nGenerated Node #0,0: 179:[195, 180, 195] Operation: 146+49=195\nMoving to Node #0,0\nCurrent State: 179:[195, 180, 195], Operations: ['146+49=195']\nExploring Operation: 195/195=1, Resulting Numbers: [180, 1]\nGenerated Node #0,0,0: 179:[180, 1] Operation: 195/195=1\nMoving to Node #0,0,0\nCurrent State: 179:[180, 1], Operations: ['146+49=195', '195/195=1']\nExploring Operation: 180-1=179, Resulting Numbers: [179]\n179,179 equal: Goal Reached\nFinal operations:\n146+49=195\n195/195=1\n180-1=179",
"role": "assistant"
}
] |
[
195,
146,
180,
49
] | 179
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [158, 176, 183, 21] and the target 172, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 172:[158, 176, 183, 21], Operations: []\nExploring Operation: 158+21=179, Resulting Numbers: [176, 183, 179]\nGenerated Node #0,0: 172:[176, 183, 179] Operation: 158+21=179\nMoving to Node #0,0\nCurrent State: 172:[176, 183, 179], Operations: ['158+21=179']\nExploring Operation: 183-179=4, Resulting Numbers: [176, 4]\nGenerated Node #0,0,0: 172:[176, 4] Operation: 183-179=4\nMoving to Node #0,0,0\nCurrent State: 172:[176, 4], Operations: ['158+21=179', '183-179=4']\nExploring Operation: 176-4=172, Resulting Numbers: [172]\n172,172 equal: Goal Reached\nFinal operations:\n158+21=179\n183-179=4\n176-4=172",
"role": "assistant"
}
] |
[
158,
176,
183,
21
] | 172
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [152, 5, 4, 143] and the target 29, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 29:[152, 5, 4, 143], Operations: []\nExploring Operation: 152/4=38, Resulting Numbers: [5, 143, 38]\nGenerated Node #0,0: 29:[5, 143, 38] Operation: 152/4=38\nExploring Operation: 152-143=9, Resulting Numbers: [5, 4, 9]\nGenerated Node #0,1: 29:[5, 4, 9] Operation: 152-143=9\nMoving to Node #0,1\nCurrent State: 29:[5, 4, 9], Operations: ['152-143=9']\nExploring Operation: 4*9=36, Resulting Numbers: [5, 36]\nGenerated Node #0,1,0: 29:[5, 36] Operation: 4*9=36\nExploring Operation: 5*4=20, Resulting Numbers: [9, 20]\nGenerated Node #0,1,1: 29:[9, 20] Operation: 5*4=20\nMoving to Node #0,0\nCurrent State: 29:[5, 143, 38], Operations: ['152/4=38']\nExploring Operation: 143-5=138, Resulting Numbers: [38, 138]\nGenerated Node #0,0,0: 29:[38, 138] Operation: 143-5=138\nExploring Operation: 143-38=105, Resulting Numbers: [5, 105]\nGenerated Node #0,0,1: 29:[5, 105] Operation: 143-38=105\nMoving to Node #0,1,1\nCurrent State: 29:[9, 20], Operations: ['152-143=9', '5*4=20']\nExploring Operation: 20-9=11, Resulting Numbers: [11]\n11,29 unequal: No Solution\nExploring Operation: 9+20=29, Resulting Numbers: [29]\n29,29 equal: Goal Reached\nFinal operations:\n152-143=9\n5*4=20\n9+20=29",
"role": "assistant"
}
] |
[
152,
5,
4,
143
] | 29
|
bfs_2
|
sum_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [72, 100, 24, 39] and the target 183, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 183:[72, 100, 24, 39], Operations: []\nExploring Operation: 100-24=76, Resulting Numbers: [72, 39, 76]\nGenerated Node #0,0: 183:[72, 39, 76] Operation: 100-24=76\nExploring Operation: 100-39=61, Resulting Numbers: [72, 24, 61]\nGenerated Node #0,1: 183:[72, 24, 61] Operation: 100-39=61\nMoving to Node #0,1\nCurrent State: 183:[72, 24, 61], Operations: ['100-39=61']\nExploring Operation: 72/24=3, Resulting Numbers: [61, 3]\nGenerated Node #0,1,0: 183:[61, 3] Operation: 72/24=3\nExploring Operation: 72-24=48, Resulting Numbers: [61, 48]\nGenerated Node #0,1,1: 183:[61, 48] Operation: 72-24=48\nMoving to Node #0,0\nCurrent State: 183:[72, 39, 76], Operations: ['100-24=76']\nExploring Operation: 76-39=37, Resulting Numbers: [72, 37]\nGenerated Node #0,0,0: 183:[72, 37] Operation: 76-39=37\nExploring Operation: 76-72=4, Resulting Numbers: [39, 4]\nGenerated Node #0,0,1: 183:[39, 4] Operation: 76-72=4\nMoving to Node #0,1,0\nCurrent State: 183:[61, 3], Operations: ['100-39=61', '72/24=3']\nExploring Operation: 61*3=183, Resulting Numbers: [183]\n183,183 equal: Goal Reached\nFinal operations:\n100-39=61\n72/24=3\n61*3=183",
"role": "assistant"
}
] |
[
72,
100,
24,
39
] | 183
|
bfs_2
|
mult_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [196, 84, 180, 28] and the target 72, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 72:[196, 84, 180, 28], Operations: []\nExploring Operation: 196-180=16, Resulting Numbers: [84, 28, 16]\nGenerated Node #0,0: 72:[84, 28, 16] Operation: 196-180=16\nMoving to Node #0,0\nCurrent State: 72:[84, 28, 16], Operations: ['196-180=16']\nExploring Operation: 28+16=44, Resulting Numbers: [84, 44]\nGenerated Node #0,0,0: 72:[84, 44] Operation: 28+16=44\nMoving to Node #0,0,0\nCurrent State: 72:[84, 44], Operations: ['196-180=16', '28+16=44']\nExploring Operation: 84-44=40, Resulting Numbers: [40]\n40,72 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 72:[84, 44], Operations: ['196-180=16', '28+16=44']\nExploring Operation: 84+44=128, Resulting Numbers: [128]\n128,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[84, 28, 16], Operations: ['196-180=16']\nExploring Operation: 84-16=68, Resulting Numbers: [28, 68]\nGenerated Node #0,0,1: 72:[28, 68] Operation: 84-16=68\nMoving to Node #0,0,1\nCurrent State: 72:[28, 68], Operations: ['196-180=16', '84-16=68']\nExploring Operation: 28+68=96, Resulting Numbers: [96]\n96,72 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 72:[28, 68], Operations: ['196-180=16', '84-16=68']\nExploring Operation: 68-28=40, Resulting Numbers: [40]\n40,72 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 72:[84, 28, 16], Operations: ['196-180=16']\nExploring Operation: 84-28=56, Resulting Numbers: [16, 56]\nGenerated Node #0,0,2: 72:[16, 56] Operation: 84-28=56\nMoving to Node #0,0,2\nCurrent State: 72:[16, 56], Operations: ['196-180=16', '84-28=56']\nExploring Operation: 16+56=72, Resulting Numbers: [72]\n72,72 equal: Goal Reached\nFinal operations:\n196-180=16\n84-28=56\n16+56=72",
"role": "assistant"
}
] |
[
196,
84,
180,
28
] | 72
|
dfs
|
sum_heuristic
| 0.991319
|
[
{
"content": "Given the numbers [92, 168, 31, 183] and the target 76, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 76:[92, 168, 31, 183], Operations: []\nExploring Operation: 168-92=76, Resulting Numbers: [31, 183, 76]\nGenerated Node #0,0: 76:[31, 183, 76] Operation: 168-92=76\nExploring Operation: 183-168=15, Resulting Numbers: [92, 31, 15]\nGenerated Node #0,1: 76:[92, 31, 15] Operation: 183-168=15\nMoving to Node #0,1\nCurrent State: 76:[92, 31, 15], Operations: ['183-168=15']\nExploring Operation: 31+15=46, Resulting Numbers: [92, 46]\nGenerated Node #0,1,0: 76:[92, 46] Operation: 31+15=46\nExploring Operation: 92-15=77, Resulting Numbers: [31, 77]\nGenerated Node #0,1,1: 76:[31, 77] Operation: 92-15=77\nMoving to Node #0,0\nCurrent State: 76:[31, 183, 76], Operations: ['168-92=76']\nExploring Operation: 183-76=107, Resulting Numbers: [31, 107]\nGenerated Node #0,0,0: 76:[31, 107] Operation: 183-76=107\nExploring Operation: 183-31=152, Resulting Numbers: [76, 152]\nGenerated Node #0,0,1: 76:[76, 152] Operation: 183-31=152\nMoving to Node #0,1,0\nCurrent State: 76:[92, 46], Operations: ['183-168=15', '31+15=46']\nExploring Operation: 92-46=46, Resulting Numbers: [46]\n46,76 unequal: No Solution\nExploring Operation: 92+46=138, Resulting Numbers: [138]\n138,76 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 76:[31, 77], Operations: ['183-168=15', '92-15=77']\nExploring Operation: 77-31=46, Resulting Numbers: [46]\n46,76 unequal: No Solution\nExploring Operation: 31+77=108, Resulting Numbers: [108]\n108,76 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 76:[46], Operations: ['183-168=15', '31+15=46', '92-46=46']\nMoving to Node #0,1,1,0\nCurrent State: 76:[46], Operations: ['183-168=15', '92-15=77', '77-31=46']\nMoving to Node #0,1,1,0\nCurrent State: 76:[108], Operations: ['183-168=15', '92-15=77', '31+77=108']\nMoving to Node #0,0,1\nCurrent State: 76:[76, 152], Operations: ['168-92=76', '183-31=152']\nExploring Operation: 152-76=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached\nFinal operations:\n168-92=76\n183-31=152\n152-76=76",
"role": "assistant"
}
] |
[
92,
168,
31,
183
] | 76
|
bfs_2
|
sum_heuristic
| 0.989583
|
[
{
"content": "Given the numbers [124, 137, 124, 156] and the target 19, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 19:[124, 137, 124, 156], Operations: []\nExploring Operation: 156-137=19, Resulting Numbers: [124, 124, 19]\nGenerated Node #0,0: 19:[124, 124, 19] Operation: 156-137=19\nMoving to Node #0,0\nCurrent State: 19:[124, 124, 19], Operations: ['156-137=19']\nExploring Operation: 124/124=1, Resulting Numbers: [19, 1]\nGenerated Node #0,0,0: 19:[19, 1] Operation: 124/124=1\nMoving to Node #0,0,0\nCurrent State: 19:[19, 1], Operations: ['156-137=19', '124/124=1']\nExploring Operation: 19*1=19, Resulting Numbers: [19]\n19,19 equal: Goal Reached\nFinal operations:\n156-137=19\n124/124=1\n19*1=19",
"role": "assistant"
}
] |
[
124,
137,
124,
156
] | 19
|
bfs_1
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [62, 31, 82, 52] and the target 60, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 60:[62, 31, 82, 52], Operations: []\nExploring Operation: 82-52=30, Resulting Numbers: [62, 31, 30]\nGenerated Node #0,0: 60:[62, 31, 30] Operation: 82-52=30\nMoving to Node #0,0\nCurrent State: 60:[62, 31, 30], Operations: ['82-52=30']\nExploring Operation: 62/31=2, Resulting Numbers: [30, 2]\nGenerated Node #0,0,0: 60:[30, 2] Operation: 62/31=2\nMoving to Node #0,0,0\nCurrent State: 60:[30, 2], Operations: ['82-52=30', '62/31=2']\nExploring Operation: 30*2=60, Resulting Numbers: [60]\n60,60 equal: Goal Reached\nFinal operations:\n82-52=30\n62/31=2\n30*2=60",
"role": "assistant"
}
] |
[
62,
31,
82,
52
] | 60
|
bfs_1
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [81, 40, 28, 63] and the target 86, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 86:[81, 40, 28, 63], Operations: []\nExploring Operation: 28+63=91, Resulting Numbers: [81, 40, 91]\nGenerated Node #0,0: 86:[81, 40, 91] Operation: 28+63=91\nMoving to Node #0,0\nCurrent State: 86:[81, 40, 91], Operations: ['28+63=91']\nExploring Operation: 81-40=41, Resulting Numbers: [91, 41]\nGenerated Node #0,0,0: 86:[91, 41] Operation: 81-40=41\nMoving to Node #0,0,0\nCurrent State: 86:[91, 41], Operations: ['28+63=91', '81-40=41']\nExploring Operation: 91-41=50, Resulting Numbers: [50]\n50,86 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 86:[91, 41], Operations: ['28+63=91', '81-40=41']\nExploring Operation: 91+41=132, Resulting Numbers: [132]\n132,86 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 86:[81, 40, 91], Operations: ['28+63=91']\nExploring Operation: 91-81=10, Resulting Numbers: [40, 10]\nGenerated Node #0,0,1: 86:[40, 10] Operation: 91-81=10\nMoving to Node #0,0,1\nCurrent State: 86:[40, 10], Operations: ['28+63=91', '91-81=10']\nExploring Operation: 40/10=4, Resulting Numbers: [4]\n4,86 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 86:[40, 10], Operations: ['28+63=91', '91-81=10']\nExploring Operation: 40+10=50, Resulting Numbers: [50]\n50,86 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 86:[40, 10], Operations: ['28+63=91', '91-81=10']\nExploring Operation: 40-10=30, Resulting Numbers: [30]\n30,86 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 86:[81, 40, 91], Operations: ['28+63=91']\nExploring Operation: 91-40=51, Resulting Numbers: [81, 51]\nGenerated Node #0,0,2: 86:[81, 51] Operation: 91-40=51\nMoving to Node #0,0,2\nCurrent State: 86:[81, 51], Operations: ['28+63=91', '91-40=51']\nExploring Operation: 81-51=30, Resulting Numbers: [30]\n30,86 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 86:[81, 51], Operations: ['28+63=91', '91-40=51']\nExploring Operation: 81+51=132, Resulting Numbers: [132]\n132,86 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 86:[81, 40, 91], Operations: ['28+63=91']\nExploring Operation: 81+40=121, Resulting Numbers: [91, 121]\nGenerated Node #0,0,3: 86:[91, 121] Operation: 81+40=121\nMoving to Node #0,0,3\nCurrent State: 86:[91, 121], Operations: ['28+63=91', '81+40=121']\nExploring Operation: 121-91=30, Resulting Numbers: [30]\n30,86 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 86:[81, 40, 91], Operations: ['28+63=91']\nExploring Operation: 40+91=131, Resulting Numbers: [81, 131]\nGenerated Node #0,0,4: 86:[81, 131] Operation: 40+91=131\nMoving to Node #0,0,4\nCurrent State: 86:[81, 131], Operations: ['28+63=91', '40+91=131']\nExploring Operation: 131-81=50, Resulting Numbers: [50]\n50,86 unequal: No Solution\nMoving to Node #0\nCurrent State: 86:[81, 40, 28, 63], Operations: []\nExploring Operation: 63-28=35, Resulting Numbers: [81, 40, 35]\nGenerated Node #0,1: 86:[81, 40, 35] Operation: 63-28=35\nMoving to Node #0,1\nCurrent State: 86:[81, 40, 35], Operations: ['63-28=35']\nExploring Operation: 81-35=46, Resulting Numbers: [40, 46]\nGenerated Node #0,1,0: 86:[40, 46] Operation: 81-35=46\nMoving to Node #0,1,0\nCurrent State: 86:[40, 46], Operations: ['63-28=35', '81-35=46']\nExploring Operation: 40+46=86, Resulting Numbers: [86]\n86,86 equal: Goal Reached\nFinal operations:\n63-28=35\n81-35=46\n40+46=86",
"role": "assistant"
}
] |
[
81,
40,
28,
63
] | 86
|
dfs
|
mult_heuristic
| 0.983507
|
[
{
"content": "Given the numbers [113, 128, 137, 32] and the target 90, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 90:[113, 128, 137, 32], Operations: []\nExploring Operation: 137-113=24, Resulting Numbers: [128, 32, 24]\nGenerated Node #0,0: 90:[128, 32, 24] Operation: 137-113=24\nExploring Operation: 137-128=9, Resulting Numbers: [113, 32, 9]\nGenerated Node #0,1: 90:[113, 32, 9] Operation: 137-128=9\nExploring Operation: 128-113=15, Resulting Numbers: [137, 32, 15]\nGenerated Node #0,2: 90:[137, 32, 15] Operation: 128-113=15\nMoving to Node #0,1\nCurrent State: 90:[113, 32, 9], Operations: ['137-128=9']\nExploring Operation: 113-9=104, Resulting Numbers: [32, 104]\nGenerated Node #0,1,0: 90:[32, 104] Operation: 113-9=104\nExploring Operation: 113-32=81, Resulting Numbers: [9, 81]\nGenerated Node #0,1,1: 90:[9, 81] Operation: 113-32=81\nExploring Operation: 32+9=41, Resulting Numbers: [113, 41]\nGenerated Node #0,1,2: 90:[113, 41] Operation: 32+9=41\nMoving to Node #0,0\nCurrent State: 90:[128, 32, 24], Operations: ['137-113=24']\nExploring Operation: 128-32=96, Resulting Numbers: [24, 96]\nGenerated Node #0,0,0: 90:[24, 96] Operation: 128-32=96\nExploring Operation: 128/32=4, Resulting Numbers: [24, 4]\nGenerated Node #0,0,1: 90:[24, 4] Operation: 128/32=4\nExploring Operation: 128-24=104, Resulting Numbers: [32, 104]\nGenerated Node #0,0,2: 90:[32, 104] Operation: 128-24=104\nMoving to Node #0,2\nCurrent State: 90:[137, 32, 15], Operations: ['128-113=15']\nExploring Operation: 137-32=105, Resulting Numbers: [15, 105]\nGenerated Node #0,2,0: 90:[15, 105] Operation: 137-32=105\nExploring Operation: 32-15=17, Resulting Numbers: [137, 17]\nGenerated Node #0,2,1: 90:[137, 17] Operation: 32-15=17\nExploring Operation: 137-15=122, Resulting Numbers: [32, 122]\nGenerated Node #0,2,2: 90:[32, 122] Operation: 137-15=122\nMoving to Node #0,0,1\nCurrent State: 90:[24, 4], Operations: ['137-113=24', '128/32=4']\nExploring Operation: 24+4=28, Resulting Numbers: [28]\n28,90 unequal: No Solution\nExploring Operation: 24-4=20, Resulting Numbers: [20]\n20,90 unequal: No Solution\nExploring Operation: 24/4=6, Resulting Numbers: [6]\n6,90 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 90:[9, 81], Operations: ['137-128=9', '113-32=81']\nExploring Operation: 81/9=9, Resulting Numbers: [9]\n9,90 unequal: No Solution\nExploring Operation: 9+81=90, Resulting Numbers: [90]\n90,90 equal: Goal Reached\nFinal operations:\n137-128=9\n113-32=81\n9+81=90",
"role": "assistant"
}
] |
[
113,
128,
137,
32
] | 90
|
bfs_3
|
mult_heuristic
| 0.984375
|
[
{
"content": "Given the numbers [21, 20, 16, 51] and the target 160, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 160:[21, 20, 16, 51], Operations: []\nExploring Operation: 51-21=30, Resulting Numbers: [20, 16, 30]\nGenerated Node #0,0: 160:[20, 16, 30] Operation: 51-21=30\nMoving to Node #0,0\nCurrent State: 160:[20, 16, 30], Operations: ['51-21=30']\nExploring Operation: 30-20=10, Resulting Numbers: [16, 10]\nGenerated Node #0,0,0: 160:[16, 10] Operation: 30-20=10\nMoving to Node #0,0,0\nCurrent State: 160:[16, 10], Operations: ['51-21=30', '30-20=10']\nExploring Operation: 16*10=160, Resulting Numbers: [160]\n160,160 equal: Goal Reached\nFinal operations:\n51-21=30\n30-20=10\n16*10=160",
"role": "assistant"
}
] |
[
21,
20,
16,
51
] | 160
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [7, 112, 176, 41] and the target 112, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 112:[7, 112, 176, 41], Operations: []\nExploring Operation: 176-112=64, Resulting Numbers: [7, 41, 64]\nGenerated Node #0,0: 112:[7, 41, 64] Operation: 176-112=64\nMoving to Node #0,0\nCurrent State: 112:[7, 41, 64], Operations: ['176-112=64']\nExploring Operation: 64-41=23, Resulting Numbers: [7, 23]\nGenerated Node #0,0,0: 112:[7, 23] Operation: 64-41=23\nMoving to Node #0,0,0\nCurrent State: 112:[7, 23], Operations: ['176-112=64', '64-41=23']\nExploring Operation: 23-7=16, Resulting Numbers: [16]\n16,112 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 112:[7, 23], Operations: ['176-112=64', '64-41=23']\nExploring Operation: 7+23=30, Resulting Numbers: [30]\n30,112 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 112:[7, 23], Operations: ['176-112=64', '64-41=23']\nExploring Operation: 7*23=161, Resulting Numbers: [161]\n161,112 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 112:[7, 41, 64], Operations: ['176-112=64']\nExploring Operation: 41+64=105, Resulting Numbers: [7, 105]\nGenerated Node #0,0,1: 112:[7, 105] Operation: 41+64=105\nMoving to Node #0,0,1\nCurrent State: 112:[7, 105], Operations: ['176-112=64', '41+64=105']\nExploring Operation: 7+105=112, Resulting Numbers: [112]\n112,112 equal: Goal Reached\nFinal operations:\n176-112=64\n41+64=105\n7+105=112",
"role": "assistant"
}
] |
[
7,
112,
176,
41
] | 112
|
dfs
|
mult_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [58, 178, 175, 6] and the target 192, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 192:[58, 178, 175, 6], Operations: []\nExploring Operation: 178-175=3, Resulting Numbers: [58, 6, 3]\nGenerated Node #0,0: 192:[58, 6, 3] Operation: 178-175=3\nMoving to Node #0,0\nCurrent State: 192:[58, 6, 3], Operations: ['178-175=3']\nExploring Operation: 58+6=64, Resulting Numbers: [3, 64]\nGenerated Node #0,0,0: 192:[3, 64] Operation: 58+6=64\nMoving to Node #0,0,0\nCurrent State: 192:[3, 64], Operations: ['178-175=3', '58+6=64']\nExploring Operation: 3*64=192, Resulting Numbers: [192]\n192,192 equal: Goal Reached\nFinal operations:\n178-175=3\n58+6=64\n3*64=192",
"role": "assistant"
}
] |
[
58,
178,
175,
6
] | 192
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [18, 11, 9, 96] and the target 156, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 156:[18, 11, 9, 96], Operations: []\nExploring Operation: 96-18=78, Resulting Numbers: [11, 9, 78]\nGenerated Node #0,0: 156:[11, 9, 78] Operation: 96-18=78\nMoving to Node #0,0\nCurrent State: 156:[11, 9, 78], Operations: ['96-18=78']\nExploring Operation: 11-9=2, Resulting Numbers: [78, 2]\nGenerated Node #0,0,0: 156:[78, 2] Operation: 11-9=2\nMoving to Node #0,0,0\nCurrent State: 156:[78, 2], Operations: ['96-18=78', '11-9=2']\nExploring Operation: 78*2=156, Resulting Numbers: [156]\n156,156 equal: Goal Reached\nFinal operations:\n96-18=78\n11-9=2\n78*2=156",
"role": "assistant"
}
] |
[
18,
11,
9,
96
] | 156
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [8, 192, 87, 176] and the target 63, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 63:[8, 192, 87, 176], Operations: []\nExploring Operation: 192-176=16, Resulting Numbers: [8, 87, 16]\nGenerated Node #0,0: 63:[8, 87, 16] Operation: 192-176=16\nMoving to Node #0,0\nCurrent State: 63:[8, 87, 16], Operations: ['192-176=16']\nExploring Operation: 87-8=79, Resulting Numbers: [16, 79]\nGenerated Node #0,0,0: 63:[16, 79] Operation: 87-8=79\nMoving to Node #0,0,0\nCurrent State: 63:[16, 79], Operations: ['192-176=16', '87-8=79']\nExploring Operation: 79-16=63, Resulting Numbers: [63]\n63,63 equal: Goal Reached\nFinal operations:\n192-176=16\n87-8=79\n79-16=63",
"role": "assistant"
}
] |
[
8,
192,
87,
176
] | 63
|
bfs_1
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [77, 176, 178, 199] and the target 78, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 78:[77, 176, 178, 199], Operations: []\nExploring Operation: 199-176=23, Resulting Numbers: [77, 178, 23]\nGenerated Node #0,0: 78:[77, 178, 23] Operation: 199-176=23\nMoving to Node #0,0\nCurrent State: 78:[77, 178, 23], Operations: ['199-176=23']\nExploring Operation: 178-77=101, Resulting Numbers: [23, 101]\nGenerated Node #0,0,0: 78:[23, 101] Operation: 178-77=101\nMoving to Node #0,0,0\nCurrent State: 78:[23, 101], Operations: ['199-176=23', '178-77=101']\nExploring Operation: 101-23=78, Resulting Numbers: [78]\n78,78 equal: Goal Reached\nFinal operations:\n199-176=23\n178-77=101\n101-23=78",
"role": "assistant"
}
] |
[
77,
176,
178,
199
] | 78
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [127, 10, 112, 9] and the target 159, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 159:[127, 10, 112, 9], Operations: []\nExploring Operation: 127-112=15, Resulting Numbers: [10, 9, 15]\nGenerated Node #0,0: 159:[10, 9, 15] Operation: 127-112=15\nMoving to Node #0,0\nCurrent State: 159:[10, 9, 15], Operations: ['127-112=15']\nExploring Operation: 15-10=5, Resulting Numbers: [9, 5]\nGenerated Node #0,0,0: 159:[9, 5] Operation: 15-10=5\nMoving to Node #0,0,0\nCurrent State: 159:[9, 5], Operations: ['127-112=15', '15-10=5']\nExploring Operation: 9-5=4, Resulting Numbers: [4]\n4,159 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 159:[9, 5], Operations: ['127-112=15', '15-10=5']\nExploring Operation: 9*5=45, Resulting Numbers: [45]\n45,159 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 159:[9, 5], Operations: ['127-112=15', '15-10=5']\nExploring Operation: 9+5=14, Resulting Numbers: [14]\n14,159 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 159:[10, 9, 15], Operations: ['127-112=15']\nExploring Operation: 15-9=6, Resulting Numbers: [10, 6]\nGenerated Node #0,0,1: 159:[10, 6] Operation: 15-9=6\nMoving to Node #0,0,1\nCurrent State: 159:[10, 6], Operations: ['127-112=15', '15-9=6']\nExploring Operation: 10-6=4, Resulting Numbers: [4]\n4,159 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 159:[10, 6], Operations: ['127-112=15', '15-9=6']\nExploring Operation: 10*6=60, Resulting Numbers: [60]\n60,159 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 159:[10, 6], Operations: ['127-112=15', '15-9=6']\nExploring Operation: 10+6=16, Resulting Numbers: [16]\n16,159 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 159:[10, 9, 15], Operations: ['127-112=15']\nExploring Operation: 10-9=1, Resulting Numbers: [15, 1]\nGenerated Node #0,0,2: 159:[15, 1] Operation: 10-9=1\nMoving to Node #0,0,2\nCurrent State: 159:[15, 1], Operations: ['127-112=15', '10-9=1']\nExploring Operation: 15-1=14, Resulting Numbers: [14]\n14,159 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 159:[15, 1], Operations: ['127-112=15', '10-9=1']\nExploring Operation: 15*1=15, Resulting Numbers: [15]\n15,159 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 159:[15, 1], Operations: ['127-112=15', '10-9=1']\nExploring Operation: 15/1=15, Resulting Numbers: [15]\n15,159 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 159:[15, 1], Operations: ['127-112=15', '10-9=1']\nExploring Operation: 15+1=16, Resulting Numbers: [16]\n16,159 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 159:[10, 9, 15], Operations: ['127-112=15']\nExploring Operation: 10*15=150, Resulting Numbers: [9, 150]\nGenerated Node #0,0,3: 159:[9, 150] Operation: 10*15=150\nMoving to Node #0,0,3\nCurrent State: 159:[9, 150], Operations: ['127-112=15', '10*15=150']\nExploring Operation: 9+150=159, Resulting Numbers: [159]\n159,159 equal: Goal Reached\nFinal operations:\n127-112=15\n10*15=150\n9+150=159",
"role": "assistant"
}
] |
[
127,
10,
112,
9
] | 159
|
dfs
|
mult_heuristic
| 0.985243
|
[
{
"content": "Given the numbers [62, 182, 67, 137] and the target 40, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 40:[62, 182, 67, 137], Operations: []\nExploring Operation: 137-67=70, Resulting Numbers: [62, 182, 70]\nGenerated Node #0,0: 40:[62, 182, 70] Operation: 137-67=70\nExploring Operation: 182-62=120, Resulting Numbers: [67, 137, 120]\nGenerated Node #0,1: 40:[67, 137, 120] Operation: 182-62=120\nExploring Operation: 182-137=45, Resulting Numbers: [62, 67, 45]\nGenerated Node #0,2: 40:[62, 67, 45] Operation: 182-137=45\nExploring Operation: 182-67=115, Resulting Numbers: [62, 137, 115]\nGenerated Node #0,3: 40:[62, 137, 115] Operation: 182-67=115\nMoving to Node #0,2\nCurrent State: 40:[62, 67, 45], Operations: ['182-137=45']\nExploring Operation: 62+67=129, Resulting Numbers: [45, 129]\nGenerated Node #0,2,0: 40:[45, 129] Operation: 62+67=129\nExploring Operation: 67-45=22, Resulting Numbers: [62, 22]\nGenerated Node #0,2,1: 40:[62, 22] Operation: 67-45=22\nExploring Operation: 67-62=5, Resulting Numbers: [45, 5]\nGenerated Node #0,2,2: 40:[45, 5] Operation: 67-62=5\nExploring Operation: 62-45=17, Resulting Numbers: [67, 17]\nGenerated Node #0,2,3: 40:[67, 17] Operation: 62-45=17\nMoving to Node #0,3\nCurrent State: 40:[62, 137, 115], Operations: ['182-67=115']\nExploring Operation: 137-62=75, Resulting Numbers: [115, 75]\nGenerated Node #0,3,0: 40:[115, 75] Operation: 137-62=75\nExploring Operation: 115-62=53, Resulting Numbers: [137, 53]\nGenerated Node #0,3,1: 40:[137, 53] Operation: 115-62=53\nExploring Operation: 62+137=199, Resulting Numbers: [115, 199]\nGenerated Node #0,3,2: 40:[115, 199] Operation: 62+137=199\nExploring Operation: 137-115=22, Resulting Numbers: [62, 22]\nGenerated Node #0,3,3: 40:[62, 22] Operation: 137-115=22\nMoving to Node #0,0\nCurrent State: 40:[62, 182, 70], Operations: ['137-67=70']\nExploring Operation: 70-62=8, Resulting Numbers: [182, 8]\nGenerated Node #0,0,0: 40:[182, 8] Operation: 70-62=8\nExploring Operation: 182-62=120, Resulting Numbers: [70, 120]\nGenerated Node #0,0,1: 40:[70, 120] Operation: 182-62=120\nExploring Operation: 62+182=244, Resulting Numbers: [70, 244]\nGenerated Node #0,0,2: 40:[70, 244] Operation: 62+182=244\nExploring Operation: 182-70=112, Resulting Numbers: [62, 112]\nGenerated Node #0,0,3: 40:[62, 112] Operation: 182-70=112\nMoving to Node #0,1\nCurrent State: 40:[67, 137, 120], Operations: ['182-62=120']\nExploring Operation: 67+137=204, Resulting Numbers: [120, 204]\nGenerated Node #0,1,0: 40:[120, 204] Operation: 67+137=204\nExploring Operation: 120-67=53, Resulting Numbers: [137, 53]\nGenerated Node #0,1,1: 40:[137, 53] Operation: 120-67=53\nExploring Operation: 137-67=70, Resulting Numbers: [120, 70]\nGenerated Node #0,1,2: 40:[120, 70] Operation: 137-67=70\nExploring Operation: 137-120=17, Resulting Numbers: [67, 17]\nGenerated Node #0,1,3: 40:[67, 17] Operation: 137-120=17\nMoving to Node #0,2,1\nCurrent State: 40:[62, 22], Operations: ['182-137=45', '67-45=22']\nExploring Operation: 62-22=40, Resulting Numbers: [40]\n40,40 equal: Goal Reached\nFinal operations:\n182-137=45\n67-45=22\n62-22=40",
"role": "assistant"
}
] |
[
62,
182,
67,
137
] | 40
|
bfs_4
|
sum_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [184, 136, 90, 111] and the target 119, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 119:[184, 136, 90, 111], Operations: []\nExploring Operation: 184-90=94, Resulting Numbers: [136, 111, 94]\nGenerated Node #0,0: 119:[136, 111, 94] Operation: 184-90=94\nExploring Operation: 184-136=48, Resulting Numbers: [90, 111, 48]\nGenerated Node #0,1: 119:[90, 111, 48] Operation: 184-136=48\nMoving to Node #0,0\nCurrent State: 119:[136, 111, 94], Operations: ['184-90=94']\nExploring Operation: 111-94=17, Resulting Numbers: [136, 17]\nGenerated Node #0,0,0: 119:[136, 17] Operation: 111-94=17\nExploring Operation: 136-111=25, Resulting Numbers: [94, 25]\nGenerated Node #0,0,1: 119:[94, 25] Operation: 136-111=25\nMoving to Node #0,1\nCurrent State: 119:[90, 111, 48], Operations: ['184-136=48']\nExploring Operation: 90+48=138, Resulting Numbers: [111, 138]\nGenerated Node #0,1,0: 119:[111, 138] Operation: 90+48=138\nExploring Operation: 90-48=42, Resulting Numbers: [111, 42]\nGenerated Node #0,1,1: 119:[111, 42] Operation: 90-48=42\nMoving to Node #0,0,0\nCurrent State: 119:[136, 17], Operations: ['184-90=94', '111-94=17']\nExploring Operation: 136-17=119, Resulting Numbers: [119]\n119,119 equal: Goal Reached\nFinal operations:\n184-90=94\n111-94=17\n136-17=119",
"role": "assistant"
}
] |
[
184,
136,
90,
111
] | 119
|
bfs_2
|
mult_heuristic
| 0.993056
|
[
{
"content": "Given the numbers [197, 176, 70, 152] and the target 151, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 151:[197, 176, 70, 152], Operations: []\nExploring Operation: 197-70=127, Resulting Numbers: [176, 152, 127]\nGenerated Node #0,0: 151:[176, 152, 127] Operation: 197-70=127\nMoving to Node #0,0\nCurrent State: 151:[176, 152, 127], Operations: ['197-70=127']\nExploring Operation: 176-127=49, Resulting Numbers: [152, 49]\nGenerated Node #0,0,0: 151:[152, 49] Operation: 176-127=49\nMoving to Node #0,0,0\nCurrent State: 151:[152, 49], Operations: ['197-70=127', '176-127=49']\nExploring Operation: 152-49=103, Resulting Numbers: [103]\n103,151 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 151:[152, 49], Operations: ['197-70=127', '176-127=49']\nExploring Operation: 152+49=201, Resulting Numbers: [201]\n201,151 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 151:[176, 152, 127], Operations: ['197-70=127']\nExploring Operation: 176-152=24, Resulting Numbers: [127, 24]\nGenerated Node #0,0,1: 151:[127, 24] Operation: 176-152=24\nMoving to Node #0,0,1\nCurrent State: 151:[127, 24], Operations: ['197-70=127', '176-152=24']\nExploring Operation: 127+24=151, Resulting Numbers: [151]\n151,151 equal: Goal Reached\nFinal operations:\n197-70=127\n176-152=24\n127+24=151",
"role": "assistant"
}
] |
[
197,
176,
70,
152
] | 151
|
dfs
|
sum_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [191, 5, 2, 100] and the target 94, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 94:[191, 5, 2, 100], Operations: []\nExploring Operation: 191-100=91, Resulting Numbers: [5, 2, 91]\nGenerated Node #0,0: 94:[5, 2, 91] Operation: 191-100=91\nMoving to Node #0,0\nCurrent State: 94:[5, 2, 91], Operations: ['191-100=91']\nExploring Operation: 5*2=10, Resulting Numbers: [91, 10]\nGenerated Node #0,0,0: 94:[91, 10] Operation: 5*2=10\nMoving to Node #0,0,0\nCurrent State: 94:[91, 10], Operations: ['191-100=91', '5*2=10']\nExploring Operation: 91+10=101, Resulting Numbers: [101]\n101,94 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 94:[91, 10], Operations: ['191-100=91', '5*2=10']\nExploring Operation: 91-10=81, Resulting Numbers: [81]\n81,94 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 94:[5, 2, 91], Operations: ['191-100=91']\nExploring Operation: 5+2=7, Resulting Numbers: [91, 7]\nGenerated Node #0,0,1: 94:[91, 7] Operation: 5+2=7\nMoving to Node #0,0,1\nCurrent State: 94:[91, 7], Operations: ['191-100=91', '5+2=7']\nExploring Operation: 91+7=98, Resulting Numbers: [98]\n98,94 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 94:[91, 7], Operations: ['191-100=91', '5+2=7']\nExploring Operation: 91-7=84, Resulting Numbers: [84]\n84,94 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 94:[91, 7], Operations: ['191-100=91', '5+2=7']\nExploring Operation: 91/7=13, Resulting Numbers: [13]\n13,94 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 94:[5, 2, 91], Operations: ['191-100=91']\nExploring Operation: 2+91=93, Resulting Numbers: [5, 93]\nGenerated Node #0,0,2: 94:[5, 93] Operation: 2+91=93\nMoving to Node #0,0,2\nCurrent State: 94:[5, 93], Operations: ['191-100=91', '2+91=93']\nExploring Operation: 5+93=98, Resulting Numbers: [98]\n98,94 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 94:[5, 93], Operations: ['191-100=91', '2+91=93']\nExploring Operation: 93-5=88, Resulting Numbers: [88]\n88,94 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 94:[5, 2, 91], Operations: ['191-100=91']\nExploring Operation: 5-2=3, Resulting Numbers: [91, 3]\nGenerated Node #0,0,3: 94:[91, 3] Operation: 5-2=3\nMoving to Node #0,0,3\nCurrent State: 94:[91, 3], Operations: ['191-100=91', '5-2=3']\nExploring Operation: 91+3=94, Resulting Numbers: [94]\n94,94 equal: Goal Reached\nFinal operations:\n191-100=91\n5-2=3\n91+3=94",
"role": "assistant"
}
] |
[
191,
5,
2,
100
] | 94
|
dfs
|
sum_heuristic
| 0.987847
|
[
{
"content": "Given the numbers [69, 58, 65, 2] and the target 152, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 152:[69, 58, 65, 2], Operations: []\nExploring Operation: 65-58=7, Resulting Numbers: [69, 2, 7]\nGenerated Node #0,0: 152:[69, 2, 7] Operation: 65-58=7\nMoving to Node #0,0\nCurrent State: 152:[69, 2, 7], Operations: ['65-58=7']\nExploring Operation: 69+7=76, Resulting Numbers: [2, 76]\nGenerated Node #0,0,0: 152:[2, 76] Operation: 69+7=76\nMoving to Node #0,0,0\nCurrent State: 152:[2, 76], Operations: ['65-58=7', '69+7=76']\nExploring Operation: 2*76=152, Resulting Numbers: [152]\n152,152 equal: Goal Reached\nFinal operations:\n65-58=7\n69+7=76\n2*76=152",
"role": "assistant"
}
] |
[
69,
58,
65,
2
] | 152
|
bfs_1
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [89, 191, 109, 58] and the target 113, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 113:[89, 191, 109, 58], Operations: []\nExploring Operation: 191-58=133, Resulting Numbers: [89, 109, 133]\nGenerated Node #0,0: 113:[89, 109, 133] Operation: 191-58=133\nMoving to Node #0,0\nCurrent State: 113:[89, 109, 133], Operations: ['191-58=133']\nExploring Operation: 133-89=44, Resulting Numbers: [109, 44]\nGenerated Node #0,0,0: 113:[109, 44] Operation: 133-89=44\nMoving to Node #0,0,0\nCurrent State: 113:[109, 44], Operations: ['191-58=133', '133-89=44']\nExploring Operation: 109+44=153, Resulting Numbers: [153]\n153,113 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 113:[109, 44], Operations: ['191-58=133', '133-89=44']\nExploring Operation: 109-44=65, Resulting Numbers: [65]\n65,113 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 113:[89, 109, 133], Operations: ['191-58=133']\nExploring Operation: 89+109=198, Resulting Numbers: [133, 198]\nGenerated Node #0,0,1: 113:[133, 198] Operation: 89+109=198\nMoving to Node #0,0,1\nCurrent State: 113:[133, 198], Operations: ['191-58=133', '89+109=198']\nExploring Operation: 198-133=65, Resulting Numbers: [65]\n65,113 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 113:[89, 109, 133], Operations: ['191-58=133']\nExploring Operation: 109-89=20, Resulting Numbers: [133, 20]\nGenerated Node #0,0,2: 113:[133, 20] Operation: 109-89=20\nMoving to Node #0,0,2\nCurrent State: 113:[133, 20], Operations: ['191-58=133', '109-89=20']\nExploring Operation: 133-20=113, Resulting Numbers: [113]\n113,113 equal: Goal Reached\nFinal operations:\n191-58=133\n109-89=20\n133-20=113",
"role": "assistant"
}
] |
[
89,
191,
109,
58
] | 113
|
dfs
|
sum_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [44, 29, 151, 49] and the target 175, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 175:[44, 29, 151, 49], Operations: []\nExploring Operation: 49-44=5, Resulting Numbers: [29, 151, 5]\nGenerated Node #0,0: 175:[29, 151, 5] Operation: 49-44=5\nExploring Operation: 29+151=180, Resulting Numbers: [44, 49, 180]\nGenerated Node #0,1: 175:[44, 49, 180] Operation: 29+151=180\nMoving to Node #0,0\nCurrent State: 175:[29, 151, 5], Operations: ['49-44=5']\nExploring Operation: 151+5=156, Resulting Numbers: [29, 156]\nGenerated Node #0,0,0: 175:[29, 156] Operation: 151+5=156\nExploring Operation: 29+151=180, Resulting Numbers: [5, 180]\nGenerated Node #0,0,1: 175:[5, 180] Operation: 29+151=180\nMoving to Node #0,1\nCurrent State: 175:[44, 49, 180], Operations: ['29+151=180']\nExploring Operation: 180-44=136, Resulting Numbers: [49, 136]\nGenerated Node #0,1,0: 175:[49, 136] Operation: 180-44=136\nExploring Operation: 49-44=5, Resulting Numbers: [180, 5]\nGenerated Node #0,1,1: 175:[180, 5] Operation: 49-44=5\nMoving to Node #0,0,1\nCurrent State: 175:[5, 180], Operations: ['49-44=5', '29+151=180']\nExploring Operation: 180/5=36, Resulting Numbers: [36]\n36,175 unequal: No Solution\nExploring Operation: 180-5=175, Resulting Numbers: [175]\n175,175 equal: Goal Reached\nFinal operations:\n49-44=5\n29+151=180\n180-5=175",
"role": "assistant"
}
] |
[
44,
29,
151,
49
] | 175
|
bfs_2
|
mult_heuristic
| 0.992188
|
[
{
"content": "Given the numbers [116, 147, 35, 146] and the target 151, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 151:[116, 147, 35, 146], Operations: []\nExploring Operation: 116+35=151, Resulting Numbers: [147, 146, 151]\nGenerated Node #0,0: 151:[147, 146, 151] Operation: 116+35=151\nMoving to Node #0,0\nCurrent State: 151:[147, 146, 151], Operations: ['116+35=151']\nExploring Operation: 147+146=293, Resulting Numbers: [151, 293]\nGenerated Node #0,0,0: 151:[151, 293] Operation: 147+146=293\nMoving to Node #0,0,0\nCurrent State: 151:[151, 293], Operations: ['116+35=151', '147+146=293']\nExploring Operation: 293-151=142, Resulting Numbers: [142]\n142,151 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 151:[147, 146, 151], Operations: ['116+35=151']\nExploring Operation: 147-146=1, Resulting Numbers: [151, 1]\nGenerated Node #0,0,1: 151:[151, 1] Operation: 147-146=1\nMoving to Node #0,0,1\nCurrent State: 151:[151, 1], Operations: ['116+35=151', '147-146=1']\nExploring Operation: 151*1=151, Resulting Numbers: [151]\n151,151 equal: Goal Reached\nFinal operations:\n116+35=151\n147-146=1\n151*1=151",
"role": "assistant"
}
] |
[
116,
147,
35,
146
] | 151
|
dfs
|
sum_heuristic
| 0.994792
|
[
{
"content": "Given the numbers [173, 51, 149, 140] and the target 113, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 113:[173, 51, 149, 140], Operations: []\nExploring Operation: 173-51=122, Resulting Numbers: [149, 140, 122]\nGenerated Node #0,0: 113:[149, 140, 122] Operation: 173-51=122\nMoving to Node #0,0\nCurrent State: 113:[149, 140, 122], Operations: ['173-51=122']\nExploring Operation: 149-140=9, Resulting Numbers: [122, 9]\nGenerated Node #0,0,0: 113:[122, 9] Operation: 149-140=9\nMoving to Node #0,0,0\nCurrent State: 113:[122, 9], Operations: ['173-51=122', '149-140=9']\nExploring Operation: 122-9=113, Resulting Numbers: [113]\n113,113 equal: Goal Reached\nFinal operations:\n173-51=122\n149-140=9\n122-9=113",
"role": "assistant"
}
] |
[
173,
51,
149,
140
] | 113
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [44, 59, 109, 100] and the target 94, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 94:[44, 59, 109, 100], Operations: []\nExploring Operation: 44+59=103, Resulting Numbers: [109, 100, 103]\nGenerated Node #0,0: 94:[109, 100, 103] Operation: 44+59=103\nMoving to Node #0,0\nCurrent State: 94:[109, 100, 103], Operations: ['44+59=103']\nExploring Operation: 109-100=9, Resulting Numbers: [103, 9]\nGenerated Node #0,0,0: 94:[103, 9] Operation: 109-100=9\nMoving to Node #0,0,0\nCurrent State: 94:[103, 9], Operations: ['44+59=103', '109-100=9']\nExploring Operation: 103-9=94, Resulting Numbers: [94]\n94,94 equal: Goal Reached\nFinal operations:\n44+59=103\n109-100=9\n103-9=94",
"role": "assistant"
}
] |
[
44,
59,
109,
100
] | 94
|
dfs
|
sum_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [123, 87, 166, 15] and the target 59, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 59:[123, 87, 166, 15], Operations: []\nExploring Operation: 166-123=43, Resulting Numbers: [87, 15, 43]\nGenerated Node #0,0: 59:[87, 15, 43] Operation: 166-123=43\nMoving to Node #0,0\nCurrent State: 59:[87, 15, 43], Operations: ['166-123=43']\nExploring Operation: 87-15=72, Resulting Numbers: [43, 72]\nGenerated Node #0,0,0: 59:[43, 72] Operation: 87-15=72\nMoving to Node #0,0,0\nCurrent State: 59:[43, 72], Operations: ['166-123=43', '87-15=72']\nExploring Operation: 72-43=29, Resulting Numbers: [29]\n29,59 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 59:[43, 72], Operations: ['166-123=43', '87-15=72']\nExploring Operation: 43+72=115, Resulting Numbers: [115]\n115,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[87, 15, 43], Operations: ['166-123=43']\nExploring Operation: 15+43=58, Resulting Numbers: [87, 58]\nGenerated Node #0,0,1: 59:[87, 58] Operation: 15+43=58\nMoving to Node #0,0,1\nCurrent State: 59:[87, 58], Operations: ['166-123=43', '15+43=58']\nExploring Operation: 87-58=29, Resulting Numbers: [29]\n29,59 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 59:[87, 15, 43], Operations: ['166-123=43']\nExploring Operation: 87+15=102, Resulting Numbers: [43, 102]\nGenerated Node #0,0,2: 59:[43, 102] Operation: 87+15=102\nMoving to Node #0,0,2\nCurrent State: 59:[43, 102], Operations: ['166-123=43', '87+15=102']\nExploring Operation: 102-43=59, Resulting Numbers: [59]\n59,59 equal: Goal Reached\nFinal operations:\n166-123=43\n87+15=102\n102-43=59",
"role": "assistant"
}
] |
[
123,
87,
166,
15
] | 59
|
dfs
|
sum_heuristic
| 0.992188
|
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 3