nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
88,
69,
82,
43
] | 32 | [
"88+69=157",
"82+43=125",
"157-125=32"
] | Current State: 32:[88, 69, 82, 43], Operations: []
Exploring Operation: 88+69=157, Resulting Numbers: [82, 43, 157]
Generated Node #2: [82, 43, 157] from Operation: 88+69=157
Current State: 32:[82, 43, 157], Operations: ['88+69=157']
Exploring Operation: 82+43=125, Resulting Numbers: [157, 125]
Generated Node #3: [157, 125] from Operation: 82+43=125
Current State: 32:[157, 125], Operations: ['88+69=157', '82+43=125']
Exploring Operation: 157-125=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
41,
69,
96,
90
] | 34 | [
"69-41=28",
"96-90=6",
"28+6=34"
] | Current State: 34:[41, 69, 96, 90], Operations: []
Exploring Operation: 69-41=28, Resulting Numbers: [96, 90, 28]
Generated Node #2: [96, 90, 28] from Operation: 69-41=28
Current State: 34:[96, 90, 28], Operations: ['69-41=28']
Exploring Operation: 96-90=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 96-90=6
Current State: 34:[28, 6], Operations: ['69-41=28', '96-90=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
36,
58,
34,
72
] | 90 | [
"72/36=2",
"58+34=92",
"92-2=90"
] | Current State: 90:[36, 58, 34, 72], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [58, 34, 2]
Generated Node #2: [58, 34, 2] from Operation: 72/36=2
Current State: 90:[58, 34, 2], Operations: ['72/36=2']
Exploring Operation: 58+34=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 58+34=92
Current State: 90:[2, 92], Operations: ['72/36=2', '58+34=92']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
55,
11,
5,
82
] | 57 | [
"55/11=5",
"5*5=25",
"82-25=57"
] | Current State: 57:[55, 11, 5, 82], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [5, 82, 5]
Generated Node #2: [5, 82, 5] from Operation: 55/11=5
Current State: 57:[5, 82, 5], Operations: ['55/11=5']
Exploring Operation: 5*5=25, Resulting Numbers: [82, 25]
Generated Node #3: [82, 25] from Operation: 5*5=25
Current State: 57:[82, 25], Operations: ['55/11=5', '5*5=25']
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
41,
46,
46,
70
] | 30 | [
"70-41=29",
"46/46=1",
"29+1=30"
] | Current State: 30:[41, 46, 46, 70], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [46, 46, 29]
Generated Node #2: [46, 46, 29] from Operation: 70-41=29
Current State: 30:[46, 46, 29], Operations: ['70-41=29']
Exploring Operation: 46/46=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 46/46=1
Current State: 30:[29, 1], Operations: ['70-41=29', '46/46=1']
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
26,
95,
16,
55
] | 15 | [
"26-16=10",
"95+55=150",
"150/10=15"
] | Current State: 15:[26, 95, 16, 55], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [95, 55, 10]
Generated Node #2: [95, 55, 10] from Operation: 26-16=10
Current State: 15:[95, 55, 10], Operations: ['26-16=10']
Exploring Operation: 95+55=150, Resulting Numbers: [10, 150]
Generated Node #3: [10, 150] from Operation: 95+55=150
Current State: 15:[10, 150], Operations: ['26-16=10', '95+55=150']
Exploring Operation: 150/10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
63,
86,
67,
91
] | 47 | [
"86-63=23",
"91-67=24",
"23+24=47"
] | Current State: 47:[63, 86, 67, 91], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [67, 91, 23]
Generated Node #2: [67, 91, 23] from Operation: 86-63=23
Current State: 47:[67, 91, 23], Operations: ['86-63=23']
Exploring Operation: 91-67=24, Resulting Numbers: [23, 24]
Generated Node #3: [23, 24] from Operation: 91-67=24
Current State: 47:[23, 24], Operations: ['86-63=23', '91-67=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
82,
93,
19,
2
] | 32 | [
"93-82=11",
"19+2=21",
"11+21=32"
] | Current State: 32:[82, 93, 19, 2], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [19, 2, 11]
Generated Node #2: [19, 2, 11] from Operation: 93-82=11
Current State: 32:[19, 2, 11], Operations: ['93-82=11']
Exploring Operation: 19+2=21, Resulting Numbers: [11, 21]
Generated Node #3: [11, 21] from Operation: 19+2=21
Current State: 32:[11, 21], Operations: ['93-82=11', '19+2=21']
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
70,
4,
68,
22
] | 71 | [
"70-4=66",
"66/22=3",
"68+3=71"
] | Current State: 71:[70, 4, 68, 22], Operations: []
Exploring Operation: 70-4=66, Resulting Numbers: [68, 22, 66]
Generated Node #2: [68, 22, 66] from Operation: 70-4=66
Current State: 71:[68, 22, 66], Operations: ['70-4=66']
Exploring Operation: 66/22=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 66/22=3
Current State: 71:[68, 3], Operations: ['70-4=66', '66/22=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
99,
99,
23,
71
] | 94 | [
"99-99=0",
"23+71=94",
"0+94=94"
] | Current State: 94:[99, 99, 23, 71], Operations: []
Exploring Operation: 99-99=0, Resulting Numbers: [23, 71, 0]
Generated Node #2: [23, 71, 0] from Operation: 99-99=0
Current State: 94:[23, 71, 0], Operations: ['99-99=0']
Exploring Operation: 23+71=94, Resulting Numbers: [0, 94]
Generated Node #3: [0, 94] from Operation: 23+71=94
Current State: 94:[0, 94], Operations: ['99-99=0', '23+71=94']
Exploring Operation: 0+94=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
41,
8,
9,
57
] | 15 | [
"41-8=33",
"57-9=48",
"48-33=15"
] | Current State: 15:[41, 8, 9, 57], Operations: []
Exploring Operation: 41-8=33, Resulting Numbers: [9, 57, 33]
Generated Node #2: [9, 57, 33] from Operation: 41-8=33
Current State: 15:[9, 57, 33], Operations: ['41-8=33']
Exploring Operation: 57-9=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 57-9=48
Current State: 15:[33, 48], Operations: ['41-8=33', '57-9=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
26,
37,
97,
2
] | 88 | [
"37-26=11",
"97+2=99",
"99-11=88"
] | Current State: 88:[26, 37, 97, 2], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [97, 2, 11]
Generated Node #2: [97, 2, 11] from Operation: 37-26=11
Current State: 88:[97, 2, 11], Operations: ['37-26=11']
Exploring Operation: 97+2=99, Resulting Numbers: [11, 99]
Generated Node #3: [11, 99] from Operation: 97+2=99
Current State: 88:[11, 99], Operations: ['37-26=11', '97+2=99']
Exploring Operation: 99-11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
21,
13,
31,
99
] | 33 | [
"21+13=34",
"34-31=3",
"99/3=33"
] | Current State: 33:[21, 13, 31, 99], Operations: []
Exploring Operation: 21+13=34, Resulting Numbers: [31, 99, 34]
Generated Node #2: [31, 99, 34] from Operation: 21+13=34
Current State: 33:[31, 99, 34], Operations: ['21+13=34']
Exploring Operation: 34-31=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 34-31=3
Current State: 33:[99, 3], Operations: ['21+13=34', '34-31=3']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
3,
78,
43,
42
] | 21 | [
"42/3=14",
"78-43=35",
"35-14=21"
] | Current State: 21:[3, 78, 43, 42], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [78, 43, 14]
Generated Node #2: [78, 43, 14] from Operation: 42/3=14
Current State: 21:[78, 43, 14], Operations: ['42/3=14']
Exploring Operation: 78-43=35, Resulting Numbers: [14, 35]
Generated Node #3: [14, 35] from Operation: 78-43=35
Current State: 21:[14, 35], Operations: ['42/3=14', '78-43=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
69,
71,
31,
7
] | 26 | [
"71-69=2",
"31-7=24",
"2+24=26"
] | Current State: 26:[69, 71, 31, 7], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [31, 7, 2]
Generated Node #2: [31, 7, 2] from Operation: 71-69=2
Current State: 26:[31, 7, 2], Operations: ['71-69=2']
Exploring Operation: 31-7=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 31-7=24
Current State: 26:[2, 24], Operations: ['71-69=2', '31-7=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
7,
18,
35,
18
] | 64 | [
"18-7=11",
"35+18=53",
"11+53=64"
] | Current State: 64:[7, 18, 35, 18], Operations: []
Exploring Operation: 18-7=11, Resulting Numbers: [35, 11]
Generated Node #2: [35, 11] from Operation: 18-7=11
Current State: 64:[35, 11], Operations: ['18-7=11']
Exploring Operation: 35+18=53, Resulting Numbers: [11, 53]
Generated Node #3: [11, 53] from Operation: 35+18=53
Current State: 64:[11, 53], Operations: ['18-7=11', '35+18=53']
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
89,
72,
64,
15
] | 32 | [
"89-72=17",
"64-15=49",
"49-17=32"
] | Current State: 32:[89, 72, 64, 15], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [64, 15, 17]
Generated Node #2: [64, 15, 17] from Operation: 89-72=17
Current State: 32:[64, 15, 17], Operations: ['89-72=17']
Exploring Operation: 64-15=49, Resulting Numbers: [17, 49]
Generated Node #3: [17, 49] from Operation: 64-15=49
Current State: 32:[17, 49], Operations: ['89-72=17', '64-15=49']
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
10,
24,
8,
41
] | 89 | [
"10-8=2",
"24*2=48",
"41+48=89"
] | Current State: 89:[10, 24, 8, 41], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [24, 41, 2]
Generated Node #2: [24, 41, 2] from Operation: 10-8=2
Current State: 89:[24, 41, 2], Operations: ['10-8=2']
Exploring Operation: 24*2=48, Resulting Numbers: [41, 48]
Generated Node #3: [41, 48] from Operation: 24*2=48
Current State: 89:[41, 48], Operations: ['10-8=2', '24*2=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
53,
11,
33,
35
] | 52 | [
"33/11=3",
"35*3=105",
"105-53=52"
] | Current State: 52:[53, 11, 33, 35], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [53, 35, 3]
Generated Node #2: [53, 35, 3] from Operation: 33/11=3
Current State: 52:[53, 35, 3], Operations: ['33/11=3']
Exploring Operation: 35*3=105, Resulting Numbers: [53, 105]
Generated Node #3: [53, 105] from Operation: 35*3=105
Current State: 52:[53, 105], Operations: ['33/11=3', '35*3=105']
Exploring Operation: 105-53=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
92,
43,
13,
36
] | 15 | [
"92+13=105",
"43-36=7",
"105/7=15"
] | Current State: 15:[92, 43, 13, 36], Operations: []
Exploring Operation: 92+13=105, Resulting Numbers: [43, 36, 105]
Generated Node #2: [43, 36, 105] from Operation: 92+13=105
Current State: 15:[43, 36, 105], Operations: ['92+13=105']
Exploring Operation: 43-36=7, Resulting Numbers: [105, 7]
Generated Node #3: [105, 7] from Operation: 43-36=7
Current State: 15:[105, 7], Operations: ['92+13=105', '43-36=7']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
43,
93,
88,
82
] | 35 | [
"93-82=11",
"88/11=8",
"43-8=35"
] | Current State: 35:[43, 93, 88, 82], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [43, 88, 11]
Generated Node #2: [43, 88, 11] from Operation: 93-82=11
Current State: 35:[43, 88, 11], Operations: ['93-82=11']
Exploring Operation: 88/11=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 88/11=8
Current State: 35:[43, 8], Operations: ['93-82=11', '88/11=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
3,
77,
6,
61
] | 46 | [
"6-3=3",
"77+61=138",
"138/3=46"
] | Current State: 46:[3, 77, 6, 61], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [77, 61, 3]
Generated Node #2: [77, 61, 3] from Operation: 6-3=3
Current State: 46:[77, 61, 3], Operations: ['6-3=3']
Exploring Operation: 77+61=138, Resulting Numbers: [3, 138]
Generated Node #3: [3, 138] from Operation: 77+61=138
Current State: 46:[3, 138], Operations: ['6-3=3', '77+61=138']
Exploring Operation: 138/3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
28,
46,
67,
90
] | 41 | [
"46-28=18",
"90-67=23",
"18+23=41"
] | Current State: 41:[28, 46, 67, 90], Operations: []
Exploring Operation: 46-28=18, Resulting Numbers: [67, 90, 18]
Generated Node #2: [67, 90, 18] from Operation: 46-28=18
Current State: 41:[67, 90, 18], Operations: ['46-28=18']
Exploring Operation: 90-67=23, Resulting Numbers: [18, 23]
Generated Node #3: [18, 23] from Operation: 90-67=23
Current State: 41:[18, 23], Operations: ['46-28=18', '90-67=23']
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
87,
10,
82,
50
] | 52 | [
"87-82=5",
"10/5=2",
"50+2=52"
] | Current State: 52:[87, 10, 82, 50], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [10, 50, 5]
Generated Node #2: [10, 50, 5] from Operation: 87-82=5
Current State: 52:[10, 50, 5], Operations: ['87-82=5']
Exploring Operation: 10/5=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 10/5=2
Current State: 52:[50, 2], Operations: ['87-82=5', '10/5=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
84,
2,
51,
24
] | 45 | [
"84-51=33",
"24/2=12",
"33+12=45"
] | Current State: 45:[84, 2, 51, 24], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [2, 24, 33]
Generated Node #2: [2, 24, 33] from Operation: 84-51=33
Current State: 45:[2, 24, 33], Operations: ['84-51=33']
Exploring Operation: 24/2=12, Resulting Numbers: [33, 12]
Generated Node #3: [33, 12] from Operation: 24/2=12
Current State: 45:[33, 12], Operations: ['84-51=33', '24/2=12']
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
88,
71,
79,
86
] | 97 | [
"79-71=8",
"88/8=11",
"86+11=97"
] | Current State: 97:[88, 71, 79, 86], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [88, 86, 8]
Generated Node #2: [88, 86, 8] from Operation: 79-71=8
Current State: 97:[88, 86, 8], Operations: ['79-71=8']
Exploring Operation: 88/8=11, Resulting Numbers: [86, 11]
Generated Node #3: [86, 11] from Operation: 88/8=11
Current State: 97:[86, 11], Operations: ['79-71=8', '88/8=11']
Exploring Operation: 86+11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
14,
2,
29,
19
] | 20 | [
"14*2=28",
"29+19=48",
"48-28=20"
] | Current State: 20:[14, 2, 29, 19], Operations: []
Exploring Operation: 14*2=28, Resulting Numbers: [29, 19, 28]
Generated Node #2: [29, 19, 28] from Operation: 14*2=28
Current State: 20:[29, 19, 28], Operations: ['14*2=28']
Exploring Operation: 29+19=48, Resulting Numbers: [28, 48]
Generated Node #3: [28, 48] from Operation: 29+19=48
Current State: 20:[28, 48], Operations: ['14*2=28', '29+19=48']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
59,
80,
49,
3
] | 44 | [
"59+49=108",
"108/3=36",
"80-36=44"
] | Current State: 44:[59, 80, 49, 3], Operations: []
Exploring Operation: 59+49=108, Resulting Numbers: [80, 3, 108]
Generated Node #2: [80, 3, 108] from Operation: 59+49=108
Current State: 44:[80, 3, 108], Operations: ['59+49=108']
Exploring Operation: 108/3=36, Resulting Numbers: [80, 36]
Generated Node #3: [80, 36] from Operation: 108/3=36
Current State: 44:[80, 36], Operations: ['59+49=108', '108/3=36']
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
8,
24,
7,
14
] | 81 | [
"8*14=112",
"24+7=31",
"112-31=81"
] | Current State: 81:[8, 24, 7, 14], Operations: []
Exploring Operation: 8*14=112, Resulting Numbers: [24, 7, 112]
Generated Node #2: [24, 7, 112] from Operation: 8*14=112
Current State: 81:[24, 7, 112], Operations: ['8*14=112']
Exploring Operation: 24+7=31, Resulting Numbers: [112, 31]
Generated Node #3: [112, 31] from Operation: 24+7=31
Current State: 81:[112, 31], Operations: ['8*14=112', '24+7=31']
Exploring Operation: 112-31=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
68,
5,
90,
72
] | 55 | [
"68+5=73",
"90-72=18",
"73-18=55"
] | Current State: 55:[68, 5, 90, 72], Operations: []
Exploring Operation: 68+5=73, Resulting Numbers: [90, 72, 73]
Generated Node #2: [90, 72, 73] from Operation: 68+5=73
Current State: 55:[90, 72, 73], Operations: ['68+5=73']
Exploring Operation: 90-72=18, Resulting Numbers: [73, 18]
Generated Node #3: [73, 18] from Operation: 90-72=18
Current State: 55:[73, 18], Operations: ['68+5=73', '90-72=18']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
2,
97,
6,
65
] | 13 | [
"97-6=91",
"91-65=26",
"26/2=13"
] | Current State: 13:[2, 97, 6, 65], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [2, 65, 91]
Generated Node #2: [2, 65, 91] from Operation: 97-6=91
Current State: 13:[2, 65, 91], Operations: ['97-6=91']
Exploring Operation: 91-65=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 91-65=26
Current State: 13:[2, 26], Operations: ['97-6=91', '91-65=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
85,
49,
99,
64
] | 99 | [
"85+49=134",
"99-64=35",
"134-35=99"
] | Current State: 99:[85, 49, 99, 64], Operations: []
Exploring Operation: 85+49=134, Resulting Numbers: [99, 64, 134]
Generated Node #2: [99, 64, 134] from Operation: 85+49=134
Current State: 99:[99, 64, 134], Operations: ['85+49=134']
Exploring Operation: 99-64=35, Resulting Numbers: [134, 35]
Generated Node #3: [134, 35] from Operation: 99-64=35
Current State: 99:[134, 35], Operations: ['85+49=134', '99-64=35']
Exploring Operation: 134-35=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
13,
79,
80,
66
] | 79 | [
"79-13=66",
"66/66=1",
"80-1=79"
] | Current State: 79:[13, 79, 80, 66], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [80, 66, 66]
Generated Node #2: [80, 66, 66] from Operation: 79-13=66
Current State: 79:[80, 66, 66], Operations: ['79-13=66']
Exploring Operation: 66/66=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 66/66=1
Current State: 79:[80, 1], Operations: ['79-13=66', '66/66=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
15,
83,
11,
20
] | 37 | [
"83-15=68",
"11+20=31",
"68-31=37"
] | Current State: 37:[15, 83, 11, 20], Operations: []
Exploring Operation: 83-15=68, Resulting Numbers: [11, 20, 68]
Generated Node #2: [11, 20, 68] from Operation: 83-15=68
Current State: 37:[11, 20, 68], Operations: ['83-15=68']
Exploring Operation: 11+20=31, Resulting Numbers: [68, 31]
Generated Node #3: [68, 31] from Operation: 11+20=31
Current State: 37:[68, 31], Operations: ['83-15=68', '11+20=31']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
85,
9,
91,
83
] | 29 | [
"91-85=6",
"9*6=54",
"83-54=29"
] | Current State: 29:[85, 9, 91, 83], Operations: []
Exploring Operation: 91-85=6, Resulting Numbers: [9, 83, 6]
Generated Node #2: [9, 83, 6] from Operation: 91-85=6
Current State: 29:[9, 83, 6], Operations: ['91-85=6']
Exploring Operation: 9*6=54, Resulting Numbers: [83, 54]
Generated Node #3: [83, 54] from Operation: 9*6=54
Current State: 29:[83, 54], Operations: ['91-85=6', '9*6=54']
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
96,
38,
7,
84
] | 30 | [
"96*7=672",
"672/84=8",
"38-8=30"
] | Current State: 30:[96, 38, 7, 84], Operations: []
Exploring Operation: 96*7=672, Resulting Numbers: [38, 84, 672]
Generated Node #2: [38, 84, 672] from Operation: 96*7=672
Current State: 30:[38, 84, 672], Operations: ['96*7=672']
Exploring Operation: 672/84=8, Resulting Numbers: [38, 8]
Generated Node #3: [38, 8] from Operation: 672/84=8
Current State: 30:[38, 8], Operations: ['96*7=672', '672/84=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
26,
7,
76,
51
] | 65 | [
"26+51=77",
"77/7=11",
"76-11=65"
] | Current State: 65:[26, 7, 76, 51], Operations: []
Exploring Operation: 26+51=77, Resulting Numbers: [7, 76, 77]
Generated Node #2: [7, 76, 77] from Operation: 26+51=77
Current State: 65:[7, 76, 77], Operations: ['26+51=77']
Exploring Operation: 77/7=11, Resulting Numbers: [76, 11]
Generated Node #3: [76, 11] from Operation: 77/7=11
Current State: 65:[76, 11], Operations: ['26+51=77', '77/7=11']
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
60,
62,
96,
50
] | 76 | [
"60+62=122",
"96-50=46",
"122-46=76"
] | Current State: 76:[60, 62, 96, 50], Operations: []
Exploring Operation: 60+62=122, Resulting Numbers: [96, 50, 122]
Generated Node #2: [96, 50, 122] from Operation: 60+62=122
Current State: 76:[96, 50, 122], Operations: ['60+62=122']
Exploring Operation: 96-50=46, Resulting Numbers: [122, 46]
Generated Node #3: [122, 46] from Operation: 96-50=46
Current State: 76:[122, 46], Operations: ['60+62=122', '96-50=46']
Exploring Operation: 122-46=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
80,
55,
2,
69
] | 92 | [
"80-55=25",
"69-2=67",
"25+67=92"
] | Current State: 92:[80, 55, 2, 69], Operations: []
Exploring Operation: 80-55=25, Resulting Numbers: [2, 69, 25]
Generated Node #2: [2, 69, 25] from Operation: 80-55=25
Current State: 92:[2, 69, 25], Operations: ['80-55=25']
Exploring Operation: 69-2=67, Resulting Numbers: [25, 67]
Generated Node #3: [25, 67] from Operation: 69-2=67
Current State: 92:[25, 67], Operations: ['80-55=25', '69-2=67']
Exploring Operation: 25+67=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
41,
94,
94,
10
] | 32 | [
"41-10=31",
"94/94=1",
"31+1=32"
] | Current State: 32:[41, 94, 94, 10], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [94, 94, 31]
Generated Node #2: [94, 94, 31] from Operation: 41-10=31
Current State: 32:[94, 94, 31], Operations: ['41-10=31']
Exploring Operation: 94/94=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 94/94=1
Current State: 32:[31, 1], Operations: ['41-10=31', '94/94=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
38,
4,
5,
21
] | 89 | [
"38-21=17",
"5*17=85",
"4+85=89"
] | Current State: 89:[38, 4, 5, 21], Operations: []
Exploring Operation: 38-21=17, Resulting Numbers: [4, 5, 17]
Generated Node #2: [4, 5, 17] from Operation: 38-21=17
Current State: 89:[4, 5, 17], Operations: ['38-21=17']
Exploring Operation: 5*17=85, Resulting Numbers: [4, 85]
Generated Node #3: [4, 85] from Operation: 5*17=85
Current State: 89:[4, 85], Operations: ['38-21=17', '5*17=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
91,
17,
1,
68
] | 86 | [
"91-1=90",
"68/17=4",
"90-4=86"
] | Current State: 86:[91, 17, 1, 68], Operations: []
Exploring Operation: 91-1=90, Resulting Numbers: [17, 68, 90]
Generated Node #2: [17, 68, 90] from Operation: 91-1=90
Current State: 86:[17, 68, 90], Operations: ['91-1=90']
Exploring Operation: 68/17=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 68/17=4
Current State: 86:[90, 4], Operations: ['91-1=90', '68/17=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
32,
1,
83,
76
] | 24 | [
"32-1=31",
"83-76=7",
"31-7=24"
] | Current State: 24:[32, 1, 83, 76], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [83, 76, 31]
Generated Node #2: [83, 76, 31] from Operation: 32-1=31
Current State: 24:[83, 76, 31], Operations: ['32-1=31']
Exploring Operation: 83-76=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 83-76=7
Current State: 24:[31, 7], Operations: ['32-1=31', '83-76=7']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
26,
9,
43,
98
] | 93 | [
"26*9=234",
"43+98=141",
"234-141=93"
] | Current State: 93:[26, 9, 43, 98], Operations: []
Exploring Operation: 26*9=234, Resulting Numbers: [43, 98, 234]
Generated Node #2: [43, 98, 234] from Operation: 26*9=234
Current State: 93:[43, 98, 234], Operations: ['26*9=234']
Exploring Operation: 43+98=141, Resulting Numbers: [234, 141]
Generated Node #3: [234, 141] from Operation: 43+98=141
Current State: 93:[234, 141], Operations: ['26*9=234', '43+98=141']
Exploring Operation: 234-141=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
92,
4,
5,
20
] | 77 | [
"92/4=23",
"5*20=100",
"100-23=77"
] | Current State: 77:[92, 4, 5, 20], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [5, 20, 23]
Generated Node #2: [5, 20, 23] from Operation: 92/4=23
Current State: 77:[5, 20, 23], Operations: ['92/4=23']
Exploring Operation: 5*20=100, Resulting Numbers: [23, 100]
Generated Node #3: [23, 100] from Operation: 5*20=100
Current State: 77:[23, 100], Operations: ['92/4=23', '5*20=100']
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
45,
17,
81,
20
] | 53 | [
"81*20=1620",
"1620/45=36",
"17+36=53"
] | Current State: 53:[45, 17, 81, 20], Operations: []
Exploring Operation: 81*20=1620, Resulting Numbers: [45, 17, 1620]
Generated Node #2: [45, 17, 1620] from Operation: 81*20=1620
Current State: 53:[45, 17, 1620], Operations: ['81*20=1620']
Exploring Operation: 1620/45=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 1620/45=36
Current State: 53:[17, 36], Operations: ['81*20=1620', '1620/45=36']
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
41,
8,
55,
75
] | 69 | [
"41+8=49",
"75-55=20",
"49+20=69"
] | Current State: 69:[41, 8, 55, 75], Operations: []
Exploring Operation: 41+8=49, Resulting Numbers: [55, 75, 49]
Generated Node #2: [55, 75, 49] from Operation: 41+8=49
Current State: 69:[55, 75, 49], Operations: ['41+8=49']
Exploring Operation: 75-55=20, Resulting Numbers: [49, 20]
Generated Node #3: [49, 20] from Operation: 75-55=20
Current State: 69:[49, 20], Operations: ['41+8=49', '75-55=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
64,
98,
86,
98
] | 22 | [
"64+98=162",
"86+98=184",
"184-162=22"
] | Current State: 22:[64, 98, 86, 98], Operations: []
Exploring Operation: 64+98=162, Resulting Numbers: [86, 162]
Generated Node #2: [86, 162] from Operation: 64+98=162
Current State: 22:[86, 162], Operations: ['64+98=162']
Exploring Operation: 86+98=184, Resulting Numbers: [162, 184]
Generated Node #3: [162, 184] from Operation: 86+98=184
Current State: 22:[162, 184], Operations: ['64+98=162', '86+98=184']
Exploring Operation: 184-162=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
86,
5,
30,
4
] | 43 | [
"30/5=6",
"6-4=2",
"86/2=43"
] | Current State: 43:[86, 5, 30, 4], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [86, 4, 6]
Generated Node #2: [86, 4, 6] from Operation: 30/5=6
Current State: 43:[86, 4, 6], Operations: ['30/5=6']
Exploring Operation: 6-4=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 6-4=2
Current State: 43:[86, 2], Operations: ['30/5=6', '6-4=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
65,
39,
90,
10
] | 54 | [
"65-39=26",
"90-10=80",
"80-26=54"
] | Current State: 54:[65, 39, 90, 10], Operations: []
Exploring Operation: 65-39=26, Resulting Numbers: [90, 10, 26]
Generated Node #2: [90, 10, 26] from Operation: 65-39=26
Current State: 54:[90, 10, 26], Operations: ['65-39=26']
Exploring Operation: 90-10=80, Resulting Numbers: [26, 80]
Generated Node #3: [26, 80] from Operation: 90-10=80
Current State: 54:[26, 80], Operations: ['65-39=26', '90-10=80']
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
65,
93,
39,
2
] | 50 | [
"93-65=28",
"39*2=78",
"78-28=50"
] | Current State: 50:[65, 93, 39, 2], Operations: []
Exploring Operation: 93-65=28, Resulting Numbers: [39, 2, 28]
Generated Node #2: [39, 2, 28] from Operation: 93-65=28
Current State: 50:[39, 2, 28], Operations: ['93-65=28']
Exploring Operation: 39*2=78, Resulting Numbers: [28, 78]
Generated Node #3: [28, 78] from Operation: 39*2=78
Current State: 50:[28, 78], Operations: ['93-65=28', '39*2=78']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
5,
75,
10,
52
] | 44 | [
"5+75=80",
"80/10=8",
"52-8=44"
] | Current State: 44:[5, 75, 10, 52], Operations: []
Exploring Operation: 5+75=80, Resulting Numbers: [10, 52, 80]
Generated Node #2: [10, 52, 80] from Operation: 5+75=80
Current State: 44:[10, 52, 80], Operations: ['5+75=80']
Exploring Operation: 80/10=8, Resulting Numbers: [52, 8]
Generated Node #3: [52, 8] from Operation: 80/10=8
Current State: 44:[52, 8], Operations: ['5+75=80', '80/10=8']
Exploring Operation: 52-8=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
99,
36,
47,
74
] | 44 | [
"47+74=121",
"36*121=4356",
"4356/99=44"
] | Current State: 44:[99, 36, 47, 74], Operations: []
Exploring Operation: 47+74=121, Resulting Numbers: [99, 36, 121]
Generated Node #2: [99, 36, 121] from Operation: 47+74=121
Current State: 44:[99, 36, 121], Operations: ['47+74=121']
Exploring Operation: 36*121=4356, Resulting Numbers: [99, 4356]
Generated Node #3: [99, 4356] from Operation: 36*121=4356
Current State: 44:[99, 4356], Operations: ['47+74=121', '36*121=4356']
Exploring Operation: 4356/99=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
32,
80,
97,
9
] | 58 | [
"80-32=48",
"97+9=106",
"106-48=58"
] | Current State: 58:[32, 80, 97, 9], Operations: []
Exploring Operation: 80-32=48, Resulting Numbers: [97, 9, 48]
Generated Node #2: [97, 9, 48] from Operation: 80-32=48
Current State: 58:[97, 9, 48], Operations: ['80-32=48']
Exploring Operation: 97+9=106, Resulting Numbers: [48, 106]
Generated Node #3: [48, 106] from Operation: 97+9=106
Current State: 58:[48, 106], Operations: ['80-32=48', '97+9=106']
Exploring Operation: 106-48=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
8,
70,
90,
82
] | 86 | [
"8+70=78",
"90-82=8",
"78+8=86"
] | Current State: 86:[8, 70, 90, 82], Operations: []
Exploring Operation: 8+70=78, Resulting Numbers: [90, 82, 78]
Generated Node #2: [90, 82, 78] from Operation: 8+70=78
Current State: 86:[90, 82, 78], Operations: ['8+70=78']
Exploring Operation: 90-82=8, Resulting Numbers: [78, 8]
Generated Node #3: [78, 8] from Operation: 90-82=8
Current State: 86:[78, 8], Operations: ['8+70=78', '90-82=8']
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
64,
4,
30
] | 100 | [
"2+64=66",
"4+30=34",
"66+34=100"
] | Current State: 100:[2, 64, 4, 30], Operations: []
Exploring Operation: 2+64=66, Resulting Numbers: [4, 30, 66]
Generated Node #2: [4, 30, 66] from Operation: 2+64=66
Current State: 100:[4, 30, 66], Operations: ['2+64=66']
Exploring Operation: 4+30=34, Resulting Numbers: [66, 34]
Generated Node #3: [66, 34] from Operation: 4+30=34
Current State: 100:[66, 34], Operations: ['2+64=66', '4+30=34']
Exploring Operation: 66+34=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
10,
11,
11,
43
] | 88 | [
"43-10=33",
"11*11=121",
"121-33=88"
] | Current State: 88:[10, 11, 11, 43], Operations: []
Exploring Operation: 43-10=33, Resulting Numbers: [11, 11, 33]
Generated Node #2: [11, 11, 33] from Operation: 43-10=33
Current State: 88:[11, 11, 33], Operations: ['43-10=33']
Exploring Operation: 11*11=121, Resulting Numbers: [33, 121]
Generated Node #3: [33, 121] from Operation: 11*11=121
Current State: 88:[33, 121], Operations: ['43-10=33', '11*11=121']
Exploring Operation: 121-33=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
63,
2,
90,
26
] | 65 | [
"90-26=64",
"2*64=128",
"128-63=65"
] | Current State: 65:[63, 2, 90, 26], Operations: []
Exploring Operation: 90-26=64, Resulting Numbers: [63, 2, 64]
Generated Node #2: [63, 2, 64] from Operation: 90-26=64
Current State: 65:[63, 2, 64], Operations: ['90-26=64']
Exploring Operation: 2*64=128, Resulting Numbers: [63, 128]
Generated Node #3: [63, 128] from Operation: 2*64=128
Current State: 65:[63, 128], Operations: ['90-26=64', '2*64=128']
Exploring Operation: 128-63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
84,
25,
90,
3
] | 50 | [
"90-84=6",
"25*6=150",
"150/3=50"
] | Current State: 50:[84, 25, 90, 3], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [25, 3, 6]
Generated Node #2: [25, 3, 6] from Operation: 90-84=6
Current State: 50:[25, 3, 6], Operations: ['90-84=6']
Exploring Operation: 25*6=150, Resulting Numbers: [3, 150]
Generated Node #3: [3, 150] from Operation: 25*6=150
Current State: 50:[3, 150], Operations: ['90-84=6', '25*6=150']
Exploring Operation: 150/3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
21,
54,
45,
43
] | 48 | [
"45-43=2",
"54/2=27",
"21+27=48"
] | Current State: 48:[21, 54, 45, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [21, 54, 2]
Generated Node #2: [21, 54, 2] from Operation: 45-43=2
Current State: 48:[21, 54, 2], Operations: ['45-43=2']
Exploring Operation: 54/2=27, Resulting Numbers: [21, 27]
Generated Node #3: [21, 27] from Operation: 54/2=27
Current State: 48:[21, 27], Operations: ['45-43=2', '54/2=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
39,
63,
56
] | 86 | [
"39-6=33",
"63+56=119",
"119-33=86"
] | Current State: 86:[6, 39, 63, 56], Operations: []
Exploring Operation: 39-6=33, Resulting Numbers: [63, 56, 33]
Generated Node #2: [63, 56, 33] from Operation: 39-6=33
Current State: 86:[63, 56, 33], Operations: ['39-6=33']
Exploring Operation: 63+56=119, Resulting Numbers: [33, 119]
Generated Node #3: [33, 119] from Operation: 63+56=119
Current State: 86:[33, 119], Operations: ['39-6=33', '63+56=119']
Exploring Operation: 119-33=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
71,
14,
22,
82
] | 19 | [
"71+14=85",
"22+82=104",
"104-85=19"
] | Current State: 19:[71, 14, 22, 82], Operations: []
Exploring Operation: 71+14=85, Resulting Numbers: [22, 82, 85]
Generated Node #2: [22, 82, 85] from Operation: 71+14=85
Current State: 19:[22, 82, 85], Operations: ['71+14=85']
Exploring Operation: 22+82=104, Resulting Numbers: [85, 104]
Generated Node #3: [85, 104] from Operation: 22+82=104
Current State: 19:[85, 104], Operations: ['71+14=85', '22+82=104']
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
57,
57,
99,
65
] | 35 | [
"57/57=1",
"99-65=34",
"1+34=35"
] | Current State: 35:[57, 57, 99, 65], Operations: []
Exploring Operation: 57/57=1, Resulting Numbers: [99, 65, 1]
Generated Node #2: [99, 65, 1] from Operation: 57/57=1
Current State: 35:[99, 65, 1], Operations: ['57/57=1']
Exploring Operation: 99-65=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 99-65=34
Current State: 35:[1, 34], Operations: ['57/57=1', '99-65=34']
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
95,
15,
89,
55
] | 64 | [
"95-15=80",
"89+55=144",
"144-80=64"
] | Current State: 64:[95, 15, 89, 55], Operations: []
Exploring Operation: 95-15=80, Resulting Numbers: [89, 55, 80]
Generated Node #2: [89, 55, 80] from Operation: 95-15=80
Current State: 64:[89, 55, 80], Operations: ['95-15=80']
Exploring Operation: 89+55=144, Resulting Numbers: [80, 144]
Generated Node #3: [80, 144] from Operation: 89+55=144
Current State: 64:[80, 144], Operations: ['95-15=80', '89+55=144']
Exploring Operation: 144-80=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
40,
37,
75,
1
] | 80 | [
"75-1=74",
"40*74=2960",
"2960/37=80"
] | Current State: 80:[40, 37, 75, 1], Operations: []
Exploring Operation: 75-1=74, Resulting Numbers: [40, 37, 74]
Generated Node #2: [40, 37, 74] from Operation: 75-1=74
Current State: 80:[40, 37, 74], Operations: ['75-1=74']
Exploring Operation: 40*74=2960, Resulting Numbers: [37, 2960]
Generated Node #3: [37, 2960] from Operation: 40*74=2960
Current State: 80:[37, 2960], Operations: ['75-1=74', '40*74=2960']
Exploring Operation: 2960/37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
11,
6,
14
] | 61 | [
"11+14=25",
"6*25=150",
"150-89=61"
] | Current State: 61:[89, 11, 6, 14], Operations: []
Exploring Operation: 11+14=25, Resulting Numbers: [89, 6, 25]
Generated Node #2: [89, 6, 25] from Operation: 11+14=25
Current State: 61:[89, 6, 25], Operations: ['11+14=25']
Exploring Operation: 6*25=150, Resulting Numbers: [89, 150]
Generated Node #3: [89, 150] from Operation: 6*25=150
Current State: 61:[89, 150], Operations: ['11+14=25', '6*25=150']
Exploring Operation: 150-89=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
23,
33,
7,
34
] | 83 | [
"23+33=56",
"34-7=27",
"56+27=83"
] | Current State: 83:[23, 33, 7, 34], Operations: []
Exploring Operation: 23+33=56, Resulting Numbers: [7, 34, 56]
Generated Node #2: [7, 34, 56] from Operation: 23+33=56
Current State: 83:[7, 34, 56], Operations: ['23+33=56']
Exploring Operation: 34-7=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 34-7=27
Current State: 83:[56, 27], Operations: ['23+33=56', '34-7=27']
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
29,
17,
3,
52
] | 37 | [
"29-17=12",
"52-3=49",
"49-12=37"
] | Current State: 37:[29, 17, 3, 52], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [3, 52, 12]
Generated Node #2: [3, 52, 12] from Operation: 29-17=12
Current State: 37:[3, 52, 12], Operations: ['29-17=12']
Exploring Operation: 52-3=49, Resulting Numbers: [12, 49]
Generated Node #3: [12, 49] from Operation: 52-3=49
Current State: 37:[12, 49], Operations: ['29-17=12', '52-3=49']
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
96,
81,
44,
57
] | 86 | [
"96-81=15",
"44+57=101",
"101-15=86"
] | Current State: 86:[96, 81, 44, 57], Operations: []
Exploring Operation: 96-81=15, Resulting Numbers: [44, 57, 15]
Generated Node #2: [44, 57, 15] from Operation: 96-81=15
Current State: 86:[44, 57, 15], Operations: ['96-81=15']
Exploring Operation: 44+57=101, Resulting Numbers: [15, 101]
Generated Node #3: [15, 101] from Operation: 44+57=101
Current State: 86:[15, 101], Operations: ['96-81=15', '44+57=101']
Exploring Operation: 101-15=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
12,
86,
90,
99
] | 90 | [
"12+86=98",
"99-98=1",
"90*1=90"
] | Current State: 90:[12, 86, 90, 99], Operations: []
Exploring Operation: 12+86=98, Resulting Numbers: [90, 99, 98]
Generated Node #2: [90, 99, 98] from Operation: 12+86=98
Current State: 90:[90, 99, 98], Operations: ['12+86=98']
Exploring Operation: 99-98=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 99-98=1
Current State: 90:[90, 1], Operations: ['12+86=98', '99-98=1']
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
17,
14,
91,
73
] | 74 | [
"17*14=238",
"91+73=164",
"238-164=74"
] | Current State: 74:[17, 14, 91, 73], Operations: []
Exploring Operation: 17*14=238, Resulting Numbers: [91, 73, 238]
Generated Node #2: [91, 73, 238] from Operation: 17*14=238
Current State: 74:[91, 73, 238], Operations: ['17*14=238']
Exploring Operation: 91+73=164, Resulting Numbers: [238, 164]
Generated Node #3: [238, 164] from Operation: 91+73=164
Current State: 74:[238, 164], Operations: ['17*14=238', '91+73=164']
Exploring Operation: 238-164=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
96,
38,
47,
56
] | 31 | [
"96+38=134",
"47+56=103",
"134-103=31"
] | Current State: 31:[96, 38, 47, 56], Operations: []
Exploring Operation: 96+38=134, Resulting Numbers: [47, 56, 134]
Generated Node #2: [47, 56, 134] from Operation: 96+38=134
Current State: 31:[47, 56, 134], Operations: ['96+38=134']
Exploring Operation: 47+56=103, Resulting Numbers: [134, 103]
Generated Node #3: [134, 103] from Operation: 47+56=103
Current State: 31:[134, 103], Operations: ['96+38=134', '47+56=103']
Exploring Operation: 134-103=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
42,
24,
71,
18
] | 72 | [
"42-24=18",
"18/18=1",
"71+1=72"
] | Current State: 72:[42, 24, 71, 18], Operations: []
Exploring Operation: 42-24=18, Resulting Numbers: [71, 18, 18]
Generated Node #2: [71, 18, 18] from Operation: 42-24=18
Current State: 72:[71, 18, 18], Operations: ['42-24=18']
Exploring Operation: 18/18=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 18/18=1
Current State: 72:[71, 1], Operations: ['42-24=18', '18/18=1']
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
24,
99,
95
] | 56 | [
"24+99=123",
"123-95=28",
"2*28=56"
] | Current State: 56:[2, 24, 99, 95], Operations: []
Exploring Operation: 24+99=123, Resulting Numbers: [2, 95, 123]
Generated Node #2: [2, 95, 123] from Operation: 24+99=123
Current State: 56:[2, 95, 123], Operations: ['24+99=123']
Exploring Operation: 123-95=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 123-95=28
Current State: 56:[2, 28], Operations: ['24+99=123', '123-95=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
52,
14,
3,
20
] | 50 | [
"14+20=34",
"3*34=102",
"102-52=50"
] | Current State: 50:[52, 14, 3, 20], Operations: []
Exploring Operation: 14+20=34, Resulting Numbers: [52, 3, 34]
Generated Node #2: [52, 3, 34] from Operation: 14+20=34
Current State: 50:[52, 3, 34], Operations: ['14+20=34']
Exploring Operation: 3*34=102, Resulting Numbers: [52, 102]
Generated Node #3: [52, 102] from Operation: 3*34=102
Current State: 50:[52, 102], Operations: ['14+20=34', '3*34=102']
Exploring Operation: 102-52=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
18,
96,
8,
48
] | 78 | [
"18+48=66",
"96/8=12",
"66+12=78"
] | Current State: 78:[18, 96, 8, 48], Operations: []
Exploring Operation: 18+48=66, Resulting Numbers: [96, 8, 66]
Generated Node #2: [96, 8, 66] from Operation: 18+48=66
Current State: 78:[96, 8, 66], Operations: ['18+48=66']
Exploring Operation: 96/8=12, Resulting Numbers: [66, 12]
Generated Node #3: [66, 12] from Operation: 96/8=12
Current State: 78:[66, 12], Operations: ['18+48=66', '96/8=12']
Exploring Operation: 66+12=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
86,
24,
74,
78
] | 58 | [
"86-24=62",
"78-74=4",
"62-4=58"
] | Current State: 58:[86, 24, 74, 78], Operations: []
Exploring Operation: 86-24=62, Resulting Numbers: [74, 78, 62]
Generated Node #2: [74, 78, 62] from Operation: 86-24=62
Current State: 58:[74, 78, 62], Operations: ['86-24=62']
Exploring Operation: 78-74=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 78-74=4
Current State: 58:[62, 4], Operations: ['86-24=62', '78-74=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
17,
70,
6,
9
] | 33 | [
"17+70=87",
"6*9=54",
"87-54=33"
] | Current State: 33:[17, 70, 6, 9], Operations: []
Exploring Operation: 17+70=87, Resulting Numbers: [6, 9, 87]
Generated Node #2: [6, 9, 87] from Operation: 17+70=87
Current State: 33:[6, 9, 87], Operations: ['17+70=87']
Exploring Operation: 6*9=54, Resulting Numbers: [87, 54]
Generated Node #3: [87, 54] from Operation: 6*9=54
Current State: 33:[87, 54], Operations: ['17+70=87', '6*9=54']
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
53,
32,
83
] | 74 | [
"72+53=125",
"83-32=51",
"125-51=74"
] | Current State: 74:[72, 53, 32, 83], Operations: []
Exploring Operation: 72+53=125, Resulting Numbers: [32, 83, 125]
Generated Node #2: [32, 83, 125] from Operation: 72+53=125
Current State: 74:[32, 83, 125], Operations: ['72+53=125']
Exploring Operation: 83-32=51, Resulting Numbers: [125, 51]
Generated Node #3: [125, 51] from Operation: 83-32=51
Current State: 74:[125, 51], Operations: ['72+53=125', '83-32=51']
Exploring Operation: 125-51=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
55,
2,
3,
44
] | 28 | [
"55+3=58",
"58-44=14",
"2*14=28"
] | Current State: 28:[55, 2, 3, 44], Operations: []
Exploring Operation: 55+3=58, Resulting Numbers: [2, 44, 58]
Generated Node #2: [2, 44, 58] from Operation: 55+3=58
Current State: 28:[2, 44, 58], Operations: ['55+3=58']
Exploring Operation: 58-44=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 58-44=14
Current State: 28:[2, 14], Operations: ['55+3=58', '58-44=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
39,
53,
23,
66
] | 69 | [
"39*23=897",
"66-53=13",
"897/13=69"
] | Current State: 69:[39, 53, 23, 66], Operations: []
Exploring Operation: 39*23=897, Resulting Numbers: [53, 66, 897]
Generated Node #2: [53, 66, 897] from Operation: 39*23=897
Current State: 69:[53, 66, 897], Operations: ['39*23=897']
Exploring Operation: 66-53=13, Resulting Numbers: [897, 13]
Generated Node #3: [897, 13] from Operation: 66-53=13
Current State: 69:[897, 13], Operations: ['39*23=897', '66-53=13']
Exploring Operation: 897/13=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
75,
63,
57,
40
] | 41 | [
"75+63=138",
"57+40=97",
"138-97=41"
] | Current State: 41:[75, 63, 57, 40], Operations: []
Exploring Operation: 75+63=138, Resulting Numbers: [57, 40, 138]
Generated Node #2: [57, 40, 138] from Operation: 75+63=138
Current State: 41:[57, 40, 138], Operations: ['75+63=138']
Exploring Operation: 57+40=97, Resulting Numbers: [138, 97]
Generated Node #3: [138, 97] from Operation: 57+40=97
Current State: 41:[138, 97], Operations: ['75+63=138', '57+40=97']
Exploring Operation: 138-97=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
9,
54,
4,
51
] | 49 | [
"54/9=6",
"4+51=55",
"55-6=49"
] | Current State: 49:[9, 54, 4, 51], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [4, 51, 6]
Generated Node #2: [4, 51, 6] from Operation: 54/9=6
Current State: 49:[4, 51, 6], Operations: ['54/9=6']
Exploring Operation: 4+51=55, Resulting Numbers: [6, 55]
Generated Node #3: [6, 55] from Operation: 4+51=55
Current State: 49:[6, 55], Operations: ['54/9=6', '4+51=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
37,
47,
24,
94
] | 15 | [
"37-24=13",
"94/47=2",
"13+2=15"
] | Current State: 15:[37, 47, 24, 94], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [47, 94, 13]
Generated Node #2: [47, 94, 13] from Operation: 37-24=13
Current State: 15:[47, 94, 13], Operations: ['37-24=13']
Exploring Operation: 94/47=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 94/47=2
Current State: 15:[13, 2], Operations: ['37-24=13', '94/47=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
48,
23,
31,
34
] | 75 | [
"48-23=25",
"34-31=3",
"25*3=75"
] | Current State: 75:[48, 23, 31, 34], Operations: []
Exploring Operation: 48-23=25, Resulting Numbers: [31, 34, 25]
Generated Node #2: [31, 34, 25] from Operation: 48-23=25
Current State: 75:[31, 34, 25], Operations: ['48-23=25']
Exploring Operation: 34-31=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 34-31=3
Current State: 75:[25, 3], Operations: ['48-23=25', '34-31=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
81,
70,
2,
61
] | 90 | [
"81*70=5670",
"2+61=63",
"5670/63=90"
] | Current State: 90:[81, 70, 2, 61], Operations: []
Exploring Operation: 81*70=5670, Resulting Numbers: [2, 61, 5670]
Generated Node #2: [2, 61, 5670] from Operation: 81*70=5670
Current State: 90:[2, 61, 5670], Operations: ['81*70=5670']
Exploring Operation: 2+61=63, Resulting Numbers: [5670, 63]
Generated Node #3: [5670, 63] from Operation: 2+61=63
Current State: 90:[5670, 63], Operations: ['81*70=5670', '2+61=63']
Exploring Operation: 5670/63=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
19,
24,
32,
21
] | 17 | [
"19+32=51",
"24-21=3",
"51/3=17"
] | Current State: 17:[19, 24, 32, 21], Operations: []
Exploring Operation: 19+32=51, Resulting Numbers: [24, 21, 51]
Generated Node #2: [24, 21, 51] from Operation: 19+32=51
Current State: 17:[24, 21, 51], Operations: ['19+32=51']
Exploring Operation: 24-21=3, Resulting Numbers: [51, 3]
Generated Node #3: [51, 3] from Operation: 24-21=3
Current State: 17:[51, 3], Operations: ['19+32=51', '24-21=3']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
35,
3,
8,
27
] | 37 | [
"27/3=9",
"8*9=72",
"72-35=37"
] | Current State: 37:[35, 3, 8, 27], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [35, 8, 9]
Generated Node #2: [35, 8, 9] from Operation: 27/3=9
Current State: 37:[35, 8, 9], Operations: ['27/3=9']
Exploring Operation: 8*9=72, Resulting Numbers: [35, 72]
Generated Node #3: [35, 72] from Operation: 8*9=72
Current State: 37:[35, 72], Operations: ['27/3=9', '8*9=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
27,
26,
44,
99
] | 90 | [
"27+26=53",
"44+99=143",
"143-53=90"
] | Current State: 90:[27, 26, 44, 99], Operations: []
Exploring Operation: 27+26=53, Resulting Numbers: [44, 99, 53]
Generated Node #2: [44, 99, 53] from Operation: 27+26=53
Current State: 90:[44, 99, 53], Operations: ['27+26=53']
Exploring Operation: 44+99=143, Resulting Numbers: [53, 143]
Generated Node #3: [53, 143] from Operation: 44+99=143
Current State: 90:[53, 143], Operations: ['27+26=53', '44+99=143']
Exploring Operation: 143-53=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
23,
68,
47,
66
] | 61 | [
"68+47=115",
"115/23=5",
"66-5=61"
] | Current State: 61:[23, 68, 47, 66], Operations: []
Exploring Operation: 68+47=115, Resulting Numbers: [23, 66, 115]
Generated Node #2: [23, 66, 115] from Operation: 68+47=115
Current State: 61:[23, 66, 115], Operations: ['68+47=115']
Exploring Operation: 115/23=5, Resulting Numbers: [66, 5]
Generated Node #3: [66, 5] from Operation: 115/23=5
Current State: 61:[66, 5], Operations: ['68+47=115', '115/23=5']
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
89,
21,
46,
63
] | 41 | [
"89-21=68",
"46+63=109",
"109-68=41"
] | Current State: 41:[89, 21, 46, 63], Operations: []
Exploring Operation: 89-21=68, Resulting Numbers: [46, 63, 68]
Generated Node #2: [46, 63, 68] from Operation: 89-21=68
Current State: 41:[46, 63, 68], Operations: ['89-21=68']
Exploring Operation: 46+63=109, Resulting Numbers: [68, 109]
Generated Node #3: [68, 109] from Operation: 46+63=109
Current State: 41:[68, 109], Operations: ['89-21=68', '46+63=109']
Exploring Operation: 109-68=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
17,
4,
11,
33
] | 56 | [
"33/11=3",
"17-3=14",
"4*14=56"
] | Current State: 56:[17, 4, 11, 33], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [17, 4, 3]
Generated Node #2: [17, 4, 3] from Operation: 33/11=3
Current State: 56:[17, 4, 3], Operations: ['33/11=3']
Exploring Operation: 17-3=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 17-3=14
Current State: 56:[4, 14], Operations: ['33/11=3', '17-3=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
11,
47,
6,
11
] | 80 | [
"11*11=121",
"47-6=41",
"121-41=80"
] | Current State: 80:[11, 47, 6, 11], Operations: []
Exploring Operation: 11*11=121, Resulting Numbers: [47, 6, 121]
Generated Node #2: [47, 6, 121] from Operation: 11*11=121
Current State: 80:[47, 6, 121], Operations: ['11*11=121']
Exploring Operation: 47-6=41, Resulting Numbers: [121, 41]
Generated Node #3: [121, 41] from Operation: 47-6=41
Current State: 80:[121, 41], Operations: ['11*11=121', '47-6=41']
Exploring Operation: 121-41=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
46,
93,
43,
36
] | 60 | [
"46+93=139",
"43+36=79",
"139-79=60"
] | Current State: 60:[46, 93, 43, 36], Operations: []
Exploring Operation: 46+93=139, Resulting Numbers: [43, 36, 139]
Generated Node #2: [43, 36, 139] from Operation: 46+93=139
Current State: 60:[43, 36, 139], Operations: ['46+93=139']
Exploring Operation: 43+36=79, Resulting Numbers: [139, 79]
Generated Node #3: [139, 79] from Operation: 43+36=79
Current State: 60:[139, 79], Operations: ['46+93=139', '43+36=79']
Exploring Operation: 139-79=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
64,
15,
52,
54
] | 81 | [
"64+15=79",
"54-52=2",
"79+2=81"
] | Current State: 81:[64, 15, 52, 54], Operations: []
Exploring Operation: 64+15=79, Resulting Numbers: [52, 54, 79]
Generated Node #2: [52, 54, 79] from Operation: 64+15=79
Current State: 81:[52, 54, 79], Operations: ['64+15=79']
Exploring Operation: 54-52=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 54-52=2
Current State: 81:[79, 2], Operations: ['64+15=79', '54-52=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
37,
62,
19,
62
] | 17 | [
"37-19=18",
"62/62=1",
"18-1=17"
] | Current State: 17:[37, 62, 19, 62], Operations: []
Exploring Operation: 37-19=18, Resulting Numbers: [62, 62, 18]
Generated Node #2: [62, 62, 18] from Operation: 37-19=18
Current State: 17:[62, 62, 18], Operations: ['37-19=18']
Exploring Operation: 62/62=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 62/62=1
Current State: 17:[18, 1], Operations: ['37-19=18', '62/62=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
12,
11,
19
] | 65 | [
"23+12=35",
"11+19=30",
"35+30=65"
] | Current State: 65:[23, 12, 11, 19], Operations: []
Exploring Operation: 23+12=35, Resulting Numbers: [11, 19, 35]
Generated Node #2: [11, 19, 35] from Operation: 23+12=35
Current State: 65:[11, 19, 35], Operations: ['23+12=35']
Exploring Operation: 11+19=30, Resulting Numbers: [35, 30]
Generated Node #3: [35, 30] from Operation: 11+19=30
Current State: 65:[35, 30], Operations: ['23+12=35', '11+19=30']
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
36,
77,
56,
33
] | 63 | [
"36-33=3",
"77-56=21",
"3*21=63"
] | Current State: 63:[36, 77, 56, 33], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [77, 56, 3]
Generated Node #2: [77, 56, 3] from Operation: 36-33=3
Current State: 63:[77, 56, 3], Operations: ['36-33=3']
Exploring Operation: 77-56=21, Resulting Numbers: [3, 21]
Generated Node #3: [3, 21] from Operation: 77-56=21
Current State: 63:[3, 21], Operations: ['36-33=3', '77-56=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
65,
59,
7,
3
] | 11 | [
"65-59=6",
"3*6=18",
"18-7=11"
] | Current State: 11:[65, 59, 7, 3], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [7, 3, 6]
Generated Node #2: [7, 3, 6] from Operation: 65-59=6
Current State: 11:[7, 3, 6], Operations: ['65-59=6']
Exploring Operation: 3*6=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 3*6=18
Current State: 11:[7, 18], Operations: ['65-59=6', '3*6=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
14,
31,
22,
20
] | 66 | [
"31-14=17",
"20-17=3",
"22*3=66"
] | Current State: 66:[14, 31, 22, 20], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [22, 20, 17]
Generated Node #2: [22, 20, 17] from Operation: 31-14=17
Current State: 66:[22, 20, 17], Operations: ['31-14=17']
Exploring Operation: 20-17=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 20-17=3
Current State: 66:[22, 3], Operations: ['31-14=17', '20-17=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
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