nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
30,
13,
14,
16
] | 46 | [
"30+16=46",
"14-13=1",
"46*1=46"
] | Current State: 46:[30, 13, 14, 16], Operations: []
Exploring Operation: 30+16=46, Resulting Numbers: [13, 14, 46]
Generated Node #2: [13, 14, 46] from Operation: 30+16=46
Current State: 46:[13, 14, 46], Operations: ['30+16=46']
Exploring Operation: 14-13=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 14-13=1
Current State: 46:[46, 1], Operations: ['30+16=46', '14-13=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
46,
3,
23,
37
] | 68 | [
"46/23=2",
"37-3=34",
"2*34=68"
] | Current State: 68:[46, 3, 23, 37], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [3, 37, 2]
Generated Node #2: [3, 37, 2] from Operation: 46/23=2
Current State: 68:[3, 37, 2], Operations: ['46/23=2']
Exploring Operation: 37-3=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 37-3=34
Current State: 68:[2, 34], Operations: ['46/23=2', '37-3=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
74,
34,
36,
48
] | 81 | [
"74+34=108",
"36*108=3888",
"3888/48=81"
] | Current State: 81:[74, 34, 36, 48], Operations: []
Exploring Operation: 74+34=108, Resulting Numbers: [36, 48, 108]
Generated Node #2: [36, 48, 108] from Operation: 74+34=108
Current State: 81:[36, 48, 108], Operations: ['74+34=108']
Exploring Operation: 36*108=3888, Resulting Numbers: [48, 3888]
Generated Node #3: [48, 3888] from Operation: 36*108=3888
Current State: 81:[48, 3888], Operations: ['74+34=108', '36*108=3888']
Exploring Operation: 3888/48=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
89,
66,
3,
64
] | 15 | [
"89+64=153",
"153/3=51",
"66-51=15"
] | Current State: 15:[89, 66, 3, 64], Operations: []
Exploring Operation: 89+64=153, Resulting Numbers: [66, 3, 153]
Generated Node #2: [66, 3, 153] from Operation: 89+64=153
Current State: 15:[66, 3, 153], Operations: ['89+64=153']
Exploring Operation: 153/3=51, Resulting Numbers: [66, 51]
Generated Node #3: [66, 51] from Operation: 153/3=51
Current State: 15:[66, 51], Operations: ['89+64=153', '153/3=51']
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
88,
27,
60
] | 82 | [
"88-27=61",
"61-60=1",
"82*1=82"
] | Current State: 82:[82, 88, 27, 60], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [82, 60, 61]
Generated Node #2: [82, 60, 61] from Operation: 88-27=61
Current State: 82:[82, 60, 61], Operations: ['88-27=61']
Exploring Operation: 61-60=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 61-60=1
Current State: 82:[82, 1], Operations: ['88-27=61', '61-60=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
67,
15,
13,
48
] | 12 | [
"67-15=52",
"13*48=624",
"624/52=12"
] | Current State: 12:[67, 15, 13, 48], Operations: []
Exploring Operation: 67-15=52, Resulting Numbers: [13, 48, 52]
Generated Node #2: [13, 48, 52] from Operation: 67-15=52
Current State: 12:[13, 48, 52], Operations: ['67-15=52']
Exploring Operation: 13*48=624, Resulting Numbers: [52, 624]
Generated Node #3: [52, 624] from Operation: 13*48=624
Current State: 12:[52, 624], Operations: ['67-15=52', '13*48=624']
Exploring Operation: 624/52=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
81,
2,
39,
22
] | 66 | [
"81+2=83",
"39-22=17",
"83-17=66"
] | Current State: 66:[81, 2, 39, 22], Operations: []
Exploring Operation: 81+2=83, Resulting Numbers: [39, 22, 83]
Generated Node #2: [39, 22, 83] from Operation: 81+2=83
Current State: 66:[39, 22, 83], Operations: ['81+2=83']
Exploring Operation: 39-22=17, Resulting Numbers: [83, 17]
Generated Node #3: [83, 17] from Operation: 39-22=17
Current State: 66:[83, 17], Operations: ['81+2=83', '39-22=17']
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
21,
15,
90
] | 24 | [
"45-15=30",
"90/30=3",
"21+3=24"
] | Current State: 24:[45, 21, 15, 90], Operations: []
Exploring Operation: 45-15=30, Resulting Numbers: [21, 90, 30]
Generated Node #2: [21, 90, 30] from Operation: 45-15=30
Current State: 24:[21, 90, 30], Operations: ['45-15=30']
Exploring Operation: 90/30=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 90/30=3
Current State: 24:[21, 3], Operations: ['45-15=30', '90/30=3']
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
3,
15,
33,
35
] | 80 | [
"15-3=12",
"33+35=68",
"12+68=80"
] | Current State: 80:[3, 15, 33, 35], Operations: []
Exploring Operation: 15-3=12, Resulting Numbers: [33, 35, 12]
Generated Node #2: [33, 35, 12] from Operation: 15-3=12
Current State: 80:[33, 35, 12], Operations: ['15-3=12']
Exploring Operation: 33+35=68, Resulting Numbers: [12, 68]
Generated Node #3: [12, 68] from Operation: 33+35=68
Current State: 80:[12, 68], Operations: ['15-3=12', '33+35=68']
Exploring Operation: 12+68=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
74,
60,
84,
9
] | 58 | [
"60+84=144",
"144/9=16",
"74-16=58"
] | Current State: 58:[74, 60, 84, 9], Operations: []
Exploring Operation: 60+84=144, Resulting Numbers: [74, 9, 144]
Generated Node #2: [74, 9, 144] from Operation: 60+84=144
Current State: 58:[74, 9, 144], Operations: ['60+84=144']
Exploring Operation: 144/9=16, Resulting Numbers: [74, 16]
Generated Node #3: [74, 16] from Operation: 144/9=16
Current State: 58:[74, 16], Operations: ['60+84=144', '144/9=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
70,
68,
24,
20
] | 64 | [
"70-68=2",
"20*2=40",
"24+40=64"
] | Current State: 64:[70, 68, 24, 20], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [24, 20, 2]
Generated Node #2: [24, 20, 2] from Operation: 70-68=2
Current State: 64:[24, 20, 2], Operations: ['70-68=2']
Exploring Operation: 20*2=40, Resulting Numbers: [24, 40]
Generated Node #3: [24, 40] from Operation: 20*2=40
Current State: 64:[24, 40], Operations: ['70-68=2', '20*2=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
13,
15,
5,
98
] | 14 | [
"13+15=28",
"98-28=70",
"70/5=14"
] | Current State: 14:[13, 15, 5, 98], Operations: []
Exploring Operation: 13+15=28, Resulting Numbers: [5, 98, 28]
Generated Node #2: [5, 98, 28] from Operation: 13+15=28
Current State: 14:[5, 98, 28], Operations: ['13+15=28']
Exploring Operation: 98-28=70, Resulting Numbers: [5, 70]
Generated Node #3: [5, 70] from Operation: 98-28=70
Current State: 14:[5, 70], Operations: ['13+15=28', '98-28=70']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
46,
26,
29,
62
] | 36 | [
"46+62=108",
"29-26=3",
"108/3=36"
] | Current State: 36:[46, 26, 29, 62], Operations: []
Exploring Operation: 46+62=108, Resulting Numbers: [26, 29, 108]
Generated Node #2: [26, 29, 108] from Operation: 46+62=108
Current State: 36:[26, 29, 108], Operations: ['46+62=108']
Exploring Operation: 29-26=3, Resulting Numbers: [108, 3]
Generated Node #3: [108, 3] from Operation: 29-26=3
Current State: 36:[108, 3], Operations: ['46+62=108', '29-26=3']
Exploring Operation: 108/3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
83,
45,
82,
2
] | 79 | [
"83-45=38",
"82/2=41",
"38+41=79"
] | Current State: 79:[83, 45, 82, 2], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [82, 2, 38]
Generated Node #2: [82, 2, 38] from Operation: 83-45=38
Current State: 79:[82, 2, 38], Operations: ['83-45=38']
Exploring Operation: 82/2=41, Resulting Numbers: [38, 41]
Generated Node #3: [38, 41] from Operation: 82/2=41
Current State: 79:[38, 41], Operations: ['83-45=38', '82/2=41']
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
44,
60,
49,
3
] | 62 | [
"60-44=16",
"49-3=46",
"16+46=62"
] | Current State: 62:[44, 60, 49, 3], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [49, 3, 16]
Generated Node #2: [49, 3, 16] from Operation: 60-44=16
Current State: 62:[49, 3, 16], Operations: ['60-44=16']
Exploring Operation: 49-3=46, Resulting Numbers: [16, 46]
Generated Node #3: [16, 46] from Operation: 49-3=46
Current State: 62:[16, 46], Operations: ['60-44=16', '49-3=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
38,
22,
23,
45
] | 39 | [
"22+23=45",
"45/45=1",
"38+1=39"
] | Current State: 39:[38, 22, 23, 45], Operations: []
Exploring Operation: 22+23=45, Resulting Numbers: [38, 45, 45]
Generated Node #2: [38, 45, 45] from Operation: 22+23=45
Current State: 39:[38, 45, 45], Operations: ['22+23=45']
Exploring Operation: 45/45=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 45/45=1
Current State: 39:[38, 1], Operations: ['22+23=45', '45/45=1']
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
23,
20,
24,
22
] | 25 | [
"20+24=44",
"44/22=2",
"23+2=25"
] | Current State: 25:[23, 20, 24, 22], Operations: []
Exploring Operation: 20+24=44, Resulting Numbers: [23, 22, 44]
Generated Node #2: [23, 22, 44] from Operation: 20+24=44
Current State: 25:[23, 22, 44], Operations: ['20+24=44']
Exploring Operation: 44/22=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 44/22=2
Current State: 25:[23, 2], Operations: ['20+24=44', '44/22=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
6,
42,
4
] | 17 | [
"12/6=2",
"42/2=21",
"21-4=17"
] | Current State: 17:[12, 6, 42, 4], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [42, 4, 2]
Generated Node #2: [42, 4, 2] from Operation: 12/6=2
Current State: 17:[42, 4, 2], Operations: ['12/6=2']
Exploring Operation: 42/2=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 42/2=21
Current State: 17:[4, 21], Operations: ['12/6=2', '42/2=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
18,
17,
33,
59
] | 77 | [
"59-17=42",
"33*42=1386",
"1386/18=77"
] | Current State: 77:[18, 17, 33, 59], Operations: []
Exploring Operation: 59-17=42, Resulting Numbers: [18, 33, 42]
Generated Node #2: [18, 33, 42] from Operation: 59-17=42
Current State: 77:[18, 33, 42], Operations: ['59-17=42']
Exploring Operation: 33*42=1386, Resulting Numbers: [18, 1386]
Generated Node #3: [18, 1386] from Operation: 33*42=1386
Current State: 77:[18, 1386], Operations: ['59-17=42', '33*42=1386']
Exploring Operation: 1386/18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
78,
50,
66,
21
] | 73 | [
"78-50=28",
"66-21=45",
"28+45=73"
] | Current State: 73:[78, 50, 66, 21], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [66, 21, 28]
Generated Node #2: [66, 21, 28] from Operation: 78-50=28
Current State: 73:[66, 21, 28], Operations: ['78-50=28']
Exploring Operation: 66-21=45, Resulting Numbers: [28, 45]
Generated Node #3: [28, 45] from Operation: 66-21=45
Current State: 73:[28, 45], Operations: ['78-50=28', '66-21=45']
Exploring Operation: 28+45=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
48,
22,
71,
71
] | 70 | [
"48+22=70",
"71-71=0",
"70+0=70"
] | Current State: 70:[48, 22, 71, 71], Operations: []
Exploring Operation: 48+22=70, Resulting Numbers: [71, 71, 70]
Generated Node #2: [71, 71, 70] from Operation: 48+22=70
Current State: 70:[71, 71, 70], Operations: ['48+22=70']
Exploring Operation: 71-71=0, Resulting Numbers: [70, 0]
Generated Node #3: [70, 0] from Operation: 71-71=0
Current State: 70:[70, 0], Operations: ['48+22=70', '71-71=0']
Exploring Operation: 70+0=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
87,
37,
47,
56
] | 58 | [
"87*56=4872",
"37+47=84",
"4872/84=58"
] | Current State: 58:[87, 37, 47, 56], Operations: []
Exploring Operation: 87*56=4872, Resulting Numbers: [37, 47, 4872]
Generated Node #2: [37, 47, 4872] from Operation: 87*56=4872
Current State: 58:[37, 47, 4872], Operations: ['87*56=4872']
Exploring Operation: 37+47=84, Resulting Numbers: [4872, 84]
Generated Node #3: [4872, 84] from Operation: 37+47=84
Current State: 58:[4872, 84], Operations: ['87*56=4872', '37+47=84']
Exploring Operation: 4872/84=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
97,
41,
45,
49
] | 14 | [
"97-41=56",
"49-45=4",
"56/4=14"
] | Current State: 14:[97, 41, 45, 49], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [45, 49, 56]
Generated Node #2: [45, 49, 56] from Operation: 97-41=56
Current State: 14:[45, 49, 56], Operations: ['97-41=56']
Exploring Operation: 49-45=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 49-45=4
Current State: 14:[56, 4], Operations: ['97-41=56', '49-45=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
7,
24,
55,
82
] | 31 | [
"7*24=168",
"55+82=137",
"168-137=31"
] | Current State: 31:[7, 24, 55, 82], Operations: []
Exploring Operation: 7*24=168, Resulting Numbers: [55, 82, 168]
Generated Node #2: [55, 82, 168] from Operation: 7*24=168
Current State: 31:[55, 82, 168], Operations: ['7*24=168']
Exploring Operation: 55+82=137, Resulting Numbers: [168, 137]
Generated Node #3: [168, 137] from Operation: 55+82=137
Current State: 31:[168, 137], Operations: ['7*24=168', '55+82=137']
Exploring Operation: 168-137=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
24,
8,
61,
18
] | 76 | [
"24/8=3",
"61+18=79",
"79-3=76"
] | Current State: 76:[24, 8, 61, 18], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [61, 18, 3]
Generated Node #2: [61, 18, 3] from Operation: 24/8=3
Current State: 76:[61, 18, 3], Operations: ['24/8=3']
Exploring Operation: 61+18=79, Resulting Numbers: [3, 79]
Generated Node #3: [3, 79] from Operation: 61+18=79
Current State: 76:[3, 79], Operations: ['24/8=3', '61+18=79']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
10,
25,
14,
85
] | 34 | [
"10+25=35",
"14*85=1190",
"1190/35=34"
] | Current State: 34:[10, 25, 14, 85], Operations: []
Exploring Operation: 10+25=35, Resulting Numbers: [14, 85, 35]
Generated Node #2: [14, 85, 35] from Operation: 10+25=35
Current State: 34:[14, 85, 35], Operations: ['10+25=35']
Exploring Operation: 14*85=1190, Resulting Numbers: [35, 1190]
Generated Node #3: [35, 1190] from Operation: 14*85=1190
Current State: 34:[35, 1190], Operations: ['10+25=35', '14*85=1190']
Exploring Operation: 1190/35=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
25,
23,
8,
60
] | 38 | [
"25-23=2",
"60/2=30",
"8+30=38"
] | Current State: 38:[25, 23, 8, 60], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [8, 60, 2]
Generated Node #2: [8, 60, 2] from Operation: 25-23=2
Current State: 38:[8, 60, 2], Operations: ['25-23=2']
Exploring Operation: 60/2=30, Resulting Numbers: [8, 30]
Generated Node #3: [8, 30] from Operation: 60/2=30
Current State: 38:[8, 30], Operations: ['25-23=2', '60/2=30']
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
18,
50,
33,
32
] | 31 | [
"50-18=32",
"33-32=1",
"32-1=31"
] | Current State: 31:[18, 50, 33, 32], Operations: []
Exploring Operation: 50-18=32, Resulting Numbers: [33, 32, 32]
Generated Node #2: [33, 32, 32] from Operation: 50-18=32
Current State: 31:[33, 32, 32], Operations: ['50-18=32']
Exploring Operation: 33-32=1, Resulting Numbers: [1]
1,31 equal: Goal Reached
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
5,
68,
34,
55
] | 37 | [
"55-34=21",
"5*21=105",
"105-68=37"
] | Current State: 37:[5, 68, 34, 55], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [5, 68, 21]
Generated Node #2: [5, 68, 21] from Operation: 55-34=21
Current State: 37:[5, 68, 21], Operations: ['55-34=21']
Exploring Operation: 5*21=105, Resulting Numbers: [68, 105]
Generated Node #3: [68, 105] from Operation: 5*21=105
Current State: 37:[68, 105], Operations: ['55-34=21', '5*21=105']
Exploring Operation: 105-68=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
73,
83,
47,
69
] | 40 | [
"73+83=156",
"47+69=116",
"156-116=40"
] | Current State: 40:[73, 83, 47, 69], Operations: []
Exploring Operation: 73+83=156, Resulting Numbers: [47, 69, 156]
Generated Node #2: [47, 69, 156] from Operation: 73+83=156
Current State: 40:[47, 69, 156], Operations: ['73+83=156']
Exploring Operation: 47+69=116, Resulting Numbers: [156, 116]
Generated Node #3: [156, 116] from Operation: 47+69=116
Current State: 40:[156, 116], Operations: ['73+83=156', '47+69=116']
Exploring Operation: 156-116=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
18,
53,
17,
3
] | 52 | [
"18+17=35",
"3*35=105",
"105-53=52"
] | Current State: 52:[18, 53, 17, 3], Operations: []
Exploring Operation: 18+17=35, Resulting Numbers: [53, 3, 35]
Generated Node #2: [53, 3, 35] from Operation: 18+17=35
Current State: 52:[53, 3, 35], Operations: ['18+17=35']
Exploring Operation: 3*35=105, Resulting Numbers: [53, 105]
Generated Node #3: [53, 105] from Operation: 3*35=105
Current State: 52:[53, 105], Operations: ['18+17=35', '3*35=105']
Exploring Operation: 105-53=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
8,
36,
64,
95
] | 51 | [
"64/8=8",
"95-36=59",
"59-8=51"
] | Current State: 51:[8, 36, 64, 95], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [36, 95, 8]
Generated Node #2: [36, 95, 8] from Operation: 64/8=8
Current State: 51:[36, 95, 8], Operations: ['64/8=8']
Exploring Operation: 95-36=59, Resulting Numbers: [8, 59]
Generated Node #3: [8, 59] from Operation: 95-36=59
Current State: 51:[8, 59], Operations: ['64/8=8', '95-36=59']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
4,
34,
76,
45
] | 15 | [
"4*34=136",
"76+45=121",
"136-121=15"
] | Current State: 15:[4, 34, 76, 45], Operations: []
Exploring Operation: 4*34=136, Resulting Numbers: [76, 45, 136]
Generated Node #2: [76, 45, 136] from Operation: 4*34=136
Current State: 15:[76, 45, 136], Operations: ['4*34=136']
Exploring Operation: 76+45=121, Resulting Numbers: [136, 121]
Generated Node #3: [136, 121] from Operation: 76+45=121
Current State: 15:[136, 121], Operations: ['4*34=136', '76+45=121']
Exploring Operation: 136-121=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
41,
89,
13,
9
] | 83 | [
"41+13=54",
"54/9=6",
"89-6=83"
] | Current State: 83:[41, 89, 13, 9], Operations: []
Exploring Operation: 41+13=54, Resulting Numbers: [89, 9, 54]
Generated Node #2: [89, 9, 54] from Operation: 41+13=54
Current State: 83:[89, 9, 54], Operations: ['41+13=54']
Exploring Operation: 54/9=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 54/9=6
Current State: 83:[89, 6], Operations: ['41+13=54', '54/9=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
89,
90,
54
] | 77 | [
"89+54=143",
"143/11=13",
"90-13=77"
] | Current State: 77:[11, 89, 90, 54], Operations: []
Exploring Operation: 89+54=143, Resulting Numbers: [11, 90, 143]
Generated Node #2: [11, 90, 143] from Operation: 89+54=143
Current State: 77:[11, 90, 143], Operations: ['89+54=143']
Exploring Operation: 143/11=13, Resulting Numbers: [90, 13]
Generated Node #3: [90, 13] from Operation: 143/11=13
Current State: 77:[90, 13], Operations: ['89+54=143', '143/11=13']
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
59,
16,
64,
8
] | 61 | [
"64/16=4",
"8/4=2",
"59+2=61"
] | Current State: 61:[59, 16, 64, 8], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [59, 8, 4]
Generated Node #2: [59, 8, 4] from Operation: 64/16=4
Current State: 61:[59, 8, 4], Operations: ['64/16=4']
Exploring Operation: 8/4=2, Resulting Numbers: [59, 2]
Generated Node #3: [59, 2] from Operation: 8/4=2
Current State: 61:[59, 2], Operations: ['64/16=4', '8/4=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
64,
60,
93,
28
] | 100 | [
"64-60=4",
"28/4=7",
"93+7=100"
] | Current State: 100:[64, 60, 93, 28], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [93, 28, 4]
Generated Node #2: [93, 28, 4] from Operation: 64-60=4
Current State: 100:[93, 28, 4], Operations: ['64-60=4']
Exploring Operation: 28/4=7, Resulting Numbers: [93, 7]
Generated Node #3: [93, 7] from Operation: 28/4=7
Current State: 100:[93, 7], Operations: ['64-60=4', '28/4=7']
Exploring Operation: 93+7=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
76,
12,
89,
89
] | 67 | [
"89-76=13",
"12*13=156",
"156-89=67"
] | Current State: 67:[76, 12, 89, 89], Operations: []
Exploring Operation: 89-76=13, Resulting Numbers: [12, 13]
Generated Node #2: [12, 13] from Operation: 89-76=13
Current State: 67:[12, 13], Operations: ['89-76=13']
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,67 equal: Goal Reached
Exploring Operation: 156-89=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
69,
42,
46
] | 14 | [
"42*46=1932",
"1932/69=28",
"28-14=14"
] | Current State: 14:[14, 69, 42, 46], Operations: []
Exploring Operation: 42*46=1932, Resulting Numbers: [14, 69, 1932]
Generated Node #2: [14, 69, 1932] from Operation: 42*46=1932
Current State: 14:[14, 69, 1932], Operations: ['42*46=1932']
Exploring Operation: 1932/69=28, Resulting Numbers: [14, 28]
Generated Node #3: [14, 28] from Operation: 1932/69=28
Current State: 14:[14, 28], Operations: ['42*46=1932', '1932/69=28']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
11,
43,
27,
27
] | 53 | [
"11+43=54",
"27/27=1",
"54-1=53"
] | Current State: 53:[11, 43, 27, 27], Operations: []
Exploring Operation: 11+43=54, Resulting Numbers: [27, 27, 54]
Generated Node #2: [27, 27, 54] from Operation: 11+43=54
Current State: 53:[27, 27, 54], Operations: ['11+43=54']
Exploring Operation: 27/27=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 27/27=1
Current State: 53:[54, 1], Operations: ['11+43=54', '27/27=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
49,
3,
99,
42
] | 40 | [
"49-42=7",
"99/3=33",
"7+33=40"
] | Current State: 40:[49, 3, 99, 42], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [3, 99, 7]
Generated Node #2: [3, 99, 7] from Operation: 49-42=7
Current State: 40:[3, 99, 7], Operations: ['49-42=7']
Exploring Operation: 99/3=33, Resulting Numbers: [7, 33]
Generated Node #3: [7, 33] from Operation: 99/3=33
Current State: 40:[7, 33], Operations: ['49-42=7', '99/3=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
5,
81,
13
] | 42 | [
"21+5=26",
"81-13=68",
"68-26=42"
] | Current State: 42:[21, 5, 81, 13], Operations: []
Exploring Operation: 21+5=26, Resulting Numbers: [81, 13, 26]
Generated Node #2: [81, 13, 26] from Operation: 21+5=26
Current State: 42:[81, 13, 26], Operations: ['21+5=26']
Exploring Operation: 81-13=68, Resulting Numbers: [26, 68]
Generated Node #3: [26, 68] from Operation: 81-13=68
Current State: 42:[26, 68], Operations: ['21+5=26', '81-13=68']
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
93,
73,
35,
52
] | 79 | [
"93+73=166",
"35+52=87",
"166-87=79"
] | Current State: 79:[93, 73, 35, 52], Operations: []
Exploring Operation: 93+73=166, Resulting Numbers: [35, 52, 166]
Generated Node #2: [35, 52, 166] from Operation: 93+73=166
Current State: 79:[35, 52, 166], Operations: ['93+73=166']
Exploring Operation: 35+52=87, Resulting Numbers: [166, 87]
Generated Node #3: [166, 87] from Operation: 35+52=87
Current State: 79:[166, 87], Operations: ['93+73=166', '35+52=87']
Exploring Operation: 166-87=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
2,
27,
29,
69
] | 53 | [
"69-29=40",
"2*40=80",
"80-27=53"
] | Current State: 53:[2, 27, 29, 69], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [2, 27, 40]
Generated Node #2: [2, 27, 40] from Operation: 69-29=40
Current State: 53:[2, 27, 40], Operations: ['69-29=40']
Exploring Operation: 2*40=80, Resulting Numbers: [27, 80]
Generated Node #3: [27, 80] from Operation: 2*40=80
Current State: 53:[27, 80], Operations: ['69-29=40', '2*40=80']
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
51,
82,
45,
36
] | 57 | [
"82*36=2952",
"2952-45=2907",
"2907/51=57"
] | Current State: 57:[51, 82, 45, 36], Operations: []
Exploring Operation: 82*36=2952, Resulting Numbers: [51, 45, 2952]
Generated Node #2: [51, 45, 2952] from Operation: 82*36=2952
Current State: 57:[51, 45, 2952], Operations: ['82*36=2952']
Exploring Operation: 2952-45=2907, Resulting Numbers: [51, 2907]
Generated Node #3: [51, 2907] from Operation: 2952-45=2907
Current State: 57:[51, 2907], Operations: ['82*36=2952', '2952-45=2907']
Exploring Operation: 2907/51=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
71,
6,
51,
81
] | 49 | [
"51+81=132",
"132/6=22",
"71-22=49"
] | Current State: 49:[71, 6, 51, 81], Operations: []
Exploring Operation: 51+81=132, Resulting Numbers: [71, 6, 132]
Generated Node #2: [71, 6, 132] from Operation: 51+81=132
Current State: 49:[71, 6, 132], Operations: ['51+81=132']
Exploring Operation: 132/6=22, Resulting Numbers: [71, 22]
Generated Node #3: [71, 22] from Operation: 132/6=22
Current State: 49:[71, 22], Operations: ['51+81=132', '132/6=22']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
1,
77,
98
] | 27 | [
"6*1=6",
"98-77=21",
"6+21=27"
] | Current State: 27:[6, 1, 77, 98], Operations: []
Exploring Operation: 6*1=6, Resulting Numbers: [77, 98, 6]
Generated Node #2: [77, 98, 6] from Operation: 6*1=6
Current State: 27:[77, 98, 6], Operations: ['6*1=6']
Exploring Operation: 98-77=21, Resulting Numbers: [6, 21]
Generated Node #3: [6, 21] from Operation: 98-77=21
Current State: 27:[6, 21], Operations: ['6*1=6', '98-77=21']
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
60,
3,
25,
15
] | 32 | [
"60/15=4",
"3+25=28",
"4+28=32"
] | Current State: 32:[60, 3, 25, 15], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [3, 25, 4]
Generated Node #2: [3, 25, 4] from Operation: 60/15=4
Current State: 32:[3, 25, 4], Operations: ['60/15=4']
Exploring Operation: 3+25=28, Resulting Numbers: [4, 28]
Generated Node #3: [4, 28] from Operation: 3+25=28
Current State: 32:[4, 28], Operations: ['60/15=4', '3+25=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
99,
44,
17,
8
] | 44 | [
"99*8=792",
"44*17=748",
"792-748=44"
] | Current State: 44:[99, 44, 17, 8], Operations: []
Exploring Operation: 99*8=792, Resulting Numbers: [44, 17, 792]
Generated Node #2: [44, 17, 792] from Operation: 99*8=792
Current State: 44:[44, 17, 792], Operations: ['99*8=792']
Exploring Operation: 44*17=748, Resulting Numbers: [792, 748]
Generated Node #3: [792, 748] from Operation: 44*17=748
Current State: 44:[792, 748], Operations: ['99*8=792', '44*17=748']
Exploring Operation: 792-748=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
28,
68,
26,
28
] | 20 | [
"68-28=40",
"28-26=2",
"40/2=20"
] | Current State: 20:[28, 68, 26, 28], Operations: []
Exploring Operation: 68-28=40, Resulting Numbers: [26, 40]
Generated Node #2: [26, 40] from Operation: 68-28=40
Current State: 20:[26, 40], Operations: ['68-28=40']
Exploring Operation: 28-26=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 28-26=2
Current State: 20:[40, 2], Operations: ['68-28=40', '28-26=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
88,
51,
59,
89
] | 67 | [
"88-51=37",
"89-59=30",
"37+30=67"
] | Current State: 67:[88, 51, 59, 89], Operations: []
Exploring Operation: 88-51=37, Resulting Numbers: [59, 89, 37]
Generated Node #2: [59, 89, 37] from Operation: 88-51=37
Current State: 67:[59, 89, 37], Operations: ['88-51=37']
Exploring Operation: 89-59=30, Resulting Numbers: [37, 30]
Generated Node #3: [37, 30] from Operation: 89-59=30
Current State: 67:[37, 30], Operations: ['88-51=37', '89-59=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
86,
3,
12,
40
] | 24 | [
"86*12=1032",
"3+40=43",
"1032/43=24"
] | Current State: 24:[86, 3, 12, 40], Operations: []
Exploring Operation: 86*12=1032, Resulting Numbers: [3, 40, 1032]
Generated Node #2: [3, 40, 1032] from Operation: 86*12=1032
Current State: 24:[3, 40, 1032], Operations: ['86*12=1032']
Exploring Operation: 3+40=43, Resulting Numbers: [1032, 43]
Generated Node #3: [1032, 43] from Operation: 3+40=43
Current State: 24:[1032, 43], Operations: ['86*12=1032', '3+40=43']
Exploring Operation: 1032/43=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
49,
53,
91,
88
] | 94 | [
"91-88=3",
"49*3=147",
"147-53=94"
] | Current State: 94:[49, 53, 91, 88], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [49, 53, 3]
Generated Node #2: [49, 53, 3] from Operation: 91-88=3
Current State: 94:[49, 53, 3], Operations: ['91-88=3']
Exploring Operation: 49*3=147, Resulting Numbers: [53, 147]
Generated Node #3: [53, 147] from Operation: 49*3=147
Current State: 94:[53, 147], Operations: ['91-88=3', '49*3=147']
Exploring Operation: 147-53=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
14,
19,
24,
1
] | 75 | [
"14+1=15",
"24-19=5",
"15*5=75"
] | Current State: 75:[14, 19, 24, 1], Operations: []
Exploring Operation: 14+1=15, Resulting Numbers: [19, 24, 15]
Generated Node #2: [19, 24, 15] from Operation: 14+1=15
Current State: 75:[19, 24, 15], Operations: ['14+1=15']
Exploring Operation: 24-19=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 24-19=5
Current State: 75:[15, 5], Operations: ['14+1=15', '24-19=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
51,
96,
37,
48
] | 40 | [
"96-51=45",
"37+48=85",
"85-45=40"
] | Current State: 40:[51, 96, 37, 48], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [37, 48, 45]
Generated Node #2: [37, 48, 45] from Operation: 96-51=45
Current State: 40:[37, 48, 45], Operations: ['96-51=45']
Exploring Operation: 37+48=85, Resulting Numbers: [45, 85]
Generated Node #3: [45, 85] from Operation: 37+48=85
Current State: 40:[45, 85], Operations: ['96-51=45', '37+48=85']
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
27,
68,
79,
69
] | 31 | [
"68-27=41",
"79-69=10",
"41-10=31"
] | Current State: 31:[27, 68, 79, 69], Operations: []
Exploring Operation: 68-27=41, Resulting Numbers: [79, 69, 41]
Generated Node #2: [79, 69, 41] from Operation: 68-27=41
Current State: 31:[79, 69, 41], Operations: ['68-27=41']
Exploring Operation: 79-69=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 79-69=10
Current State: 31:[41, 10], Operations: ['68-27=41', '79-69=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
15,
80,
73,
47
] | 55 | [
"80-15=65",
"73+47=120",
"120-65=55"
] | Current State: 55:[15, 80, 73, 47], Operations: []
Exploring Operation: 80-15=65, Resulting Numbers: [73, 47, 65]
Generated Node #2: [73, 47, 65] from Operation: 80-15=65
Current State: 55:[73, 47, 65], Operations: ['80-15=65']
Exploring Operation: 73+47=120, Resulting Numbers: [65, 120]
Generated Node #3: [65, 120] from Operation: 73+47=120
Current State: 55:[65, 120], Operations: ['80-15=65', '73+47=120']
Exploring Operation: 120-65=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
38,
3,
33,
88
] | 11 | [
"38+3=41",
"41-33=8",
"88/8=11"
] | Current State: 11:[38, 3, 33, 88], Operations: []
Exploring Operation: 38+3=41, Resulting Numbers: [33, 88, 41]
Generated Node #2: [33, 88, 41] from Operation: 38+3=41
Current State: 11:[33, 88, 41], Operations: ['38+3=41']
Exploring Operation: 41-33=8, Resulting Numbers: [88, 8]
Generated Node #3: [88, 8] from Operation: 41-33=8
Current State: 11:[88, 8], Operations: ['38+3=41', '41-33=8']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
50,
22,
94,
8
] | 30 | [
"50+22=72",
"94+8=102",
"102-72=30"
] | Current State: 30:[50, 22, 94, 8], Operations: []
Exploring Operation: 50+22=72, Resulting Numbers: [94, 8, 72]
Generated Node #2: [94, 8, 72] from Operation: 50+22=72
Current State: 30:[94, 8, 72], Operations: ['50+22=72']
Exploring Operation: 94+8=102, Resulting Numbers: [72, 102]
Generated Node #3: [72, 102] from Operation: 94+8=102
Current State: 30:[72, 102], Operations: ['50+22=72', '94+8=102']
Exploring Operation: 102-72=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
11,
1,
9,
25
] | 23 | [
"11*1=11",
"9+25=34",
"34-11=23"
] | Current State: 23:[11, 1, 9, 25], Operations: []
Exploring Operation: 11*1=11, Resulting Numbers: [9, 25, 11]
Generated Node #2: [9, 25, 11] from Operation: 11*1=11
Current State: 23:[9, 25, 11], Operations: ['11*1=11']
Exploring Operation: 9+25=34, Resulting Numbers: [11, 34]
Generated Node #3: [11, 34] from Operation: 9+25=34
Current State: 23:[11, 34], Operations: ['11*1=11', '9+25=34']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
89,
84,
16,
11
] | 32 | [
"89-84=5",
"16+11=27",
"5+27=32"
] | Current State: 32:[89, 84, 16, 11], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [16, 11, 5]
Generated Node #2: [16, 11, 5] from Operation: 89-84=5
Current State: 32:[16, 11, 5], Operations: ['89-84=5']
Exploring Operation: 16+11=27, Resulting Numbers: [5, 27]
Generated Node #3: [5, 27] from Operation: 16+11=27
Current State: 32:[5, 27], Operations: ['89-84=5', '16+11=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
37,
33,
7,
3
] | 17 | [
"37-33=4",
"7*3=21",
"21-4=17"
] | Current State: 17:[37, 33, 7, 3], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [7, 3, 4]
Generated Node #2: [7, 3, 4] from Operation: 37-33=4
Current State: 17:[7, 3, 4], Operations: ['37-33=4']
Exploring Operation: 7*3=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 7*3=21
Current State: 17:[4, 21], Operations: ['37-33=4', '7*3=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
2,
1,
86,
17
] | 66 | [
"2+1=3",
"86-17=69",
"69-3=66"
] | Current State: 66:[2, 1, 86, 17], Operations: []
Exploring Operation: 2+1=3, Resulting Numbers: [86, 17, 3]
Generated Node #2: [86, 17, 3] from Operation: 2+1=3
Current State: 66:[86, 17, 3], Operations: ['2+1=3']
Exploring Operation: 86-17=69, Resulting Numbers: [3, 69]
Generated Node #3: [3, 69] from Operation: 86-17=69
Current State: 66:[3, 69], Operations: ['2+1=3', '86-17=69']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
12,
30,
6,
32
] | 14 | [
"12/6=2",
"32/2=16",
"30-16=14"
] | Current State: 14:[12, 30, 6, 32], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [30, 32, 2]
Generated Node #2: [30, 32, 2] from Operation: 12/6=2
Current State: 14:[30, 32, 2], Operations: ['12/6=2']
Exploring Operation: 32/2=16, Resulting Numbers: [30, 16]
Generated Node #3: [30, 16] from Operation: 32/2=16
Current State: 14:[30, 16], Operations: ['12/6=2', '32/2=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
78,
45,
72,
52
] | 93 | [
"72*52=3744",
"3744/78=48",
"45+48=93"
] | Current State: 93:[78, 45, 72, 52], Operations: []
Exploring Operation: 72*52=3744, Resulting Numbers: [78, 45, 3744]
Generated Node #2: [78, 45, 3744] from Operation: 72*52=3744
Current State: 93:[78, 45, 3744], Operations: ['72*52=3744']
Exploring Operation: 3744/78=48, Resulting Numbers: [45, 48]
Generated Node #3: [45, 48] from Operation: 3744/78=48
Current State: 93:[45, 48], Operations: ['72*52=3744', '3744/78=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
22,
8,
33,
16
] | 19 | [
"22+8=30",
"33+16=49",
"49-30=19"
] | Current State: 19:[22, 8, 33, 16], Operations: []
Exploring Operation: 22+8=30, Resulting Numbers: [33, 16, 30]
Generated Node #2: [33, 16, 30] from Operation: 22+8=30
Current State: 19:[33, 16, 30], Operations: ['22+8=30']
Exploring Operation: 33+16=49, Resulting Numbers: [30, 49]
Generated Node #3: [30, 49] from Operation: 33+16=49
Current State: 19:[30, 49], Operations: ['22+8=30', '33+16=49']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
24,
86,
41
] | 92 | [
"11+24=35",
"86+41=127",
"127-35=92"
] | Current State: 92:[11, 24, 86, 41], Operations: []
Exploring Operation: 11+24=35, Resulting Numbers: [86, 41, 35]
Generated Node #2: [86, 41, 35] from Operation: 11+24=35
Current State: 92:[86, 41, 35], Operations: ['11+24=35']
Exploring Operation: 86+41=127, Resulting Numbers: [35, 127]
Generated Node #3: [35, 127] from Operation: 86+41=127
Current State: 92:[35, 127], Operations: ['11+24=35', '86+41=127']
Exploring Operation: 127-35=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
74,
63,
87,
26
] | 24 | [
"74+63=137",
"87+26=113",
"137-113=24"
] | Current State: 24:[74, 63, 87, 26], Operations: []
Exploring Operation: 74+63=137, Resulting Numbers: [87, 26, 137]
Generated Node #2: [87, 26, 137] from Operation: 74+63=137
Current State: 24:[87, 26, 137], Operations: ['74+63=137']
Exploring Operation: 87+26=113, Resulting Numbers: [137, 113]
Generated Node #3: [137, 113] from Operation: 87+26=113
Current State: 24:[137, 113], Operations: ['74+63=137', '87+26=113']
Exploring Operation: 137-113=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
89,
21,
83,
9
] | 18 | [
"89+21=110",
"83+9=92",
"110-92=18"
] | Current State: 18:[89, 21, 83, 9], Operations: []
Exploring Operation: 89+21=110, Resulting Numbers: [83, 9, 110]
Generated Node #2: [83, 9, 110] from Operation: 89+21=110
Current State: 18:[83, 9, 110], Operations: ['89+21=110']
Exploring Operation: 83+9=92, Resulting Numbers: [110, 92]
Generated Node #3: [110, 92] from Operation: 83+9=92
Current State: 18:[110, 92], Operations: ['89+21=110', '83+9=92']
Exploring Operation: 110-92=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
25,
15,
7,
42
] | 89 | [
"25+15=40",
"7+42=49",
"40+49=89"
] | Current State: 89:[25, 15, 7, 42], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [7, 42, 40]
Generated Node #2: [7, 42, 40] from Operation: 25+15=40
Current State: 89:[7, 42, 40], Operations: ['25+15=40']
Exploring Operation: 7+42=49, Resulting Numbers: [40, 49]
Generated Node #3: [40, 49] from Operation: 7+42=49
Current State: 89:[40, 49], Operations: ['25+15=40', '7+42=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
43,
18,
53,
39
] | 11 | [
"43-18=25",
"53-39=14",
"25-14=11"
] | Current State: 11:[43, 18, 53, 39], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [53, 39, 25]
Generated Node #2: [53, 39, 25] from Operation: 43-18=25
Current State: 11:[53, 39, 25], Operations: ['43-18=25']
Exploring Operation: 53-39=14, Resulting Numbers: [25, 14]
Generated Node #3: [25, 14] from Operation: 53-39=14
Current State: 11:[25, 14], Operations: ['43-18=25', '53-39=14']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
22,
26,
19,
2
] | 36 | [
"26-19=7",
"2*7=14",
"22+14=36"
] | Current State: 36:[22, 26, 19, 2], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [22, 2, 7]
Generated Node #2: [22, 2, 7] from Operation: 26-19=7
Current State: 36:[22, 2, 7], Operations: ['26-19=7']
Exploring Operation: 2*7=14, Resulting Numbers: [22, 14]
Generated Node #3: [22, 14] from Operation: 2*7=14
Current State: 36:[22, 14], Operations: ['26-19=7', '2*7=14']
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
83,
12,
44,
94
] | 44 | [
"83+12=95",
"95-94=1",
"44*1=44"
] | Current State: 44:[83, 12, 44, 94], Operations: []
Exploring Operation: 83+12=95, Resulting Numbers: [44, 94, 95]
Generated Node #2: [44, 94, 95] from Operation: 83+12=95
Current State: 44:[44, 94, 95], Operations: ['83+12=95']
Exploring Operation: 95-94=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 95-94=1
Current State: 44:[44, 1], Operations: ['83+12=95', '95-94=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
81,
88,
74,
16
] | 38 | [
"88-81=7",
"16*7=112",
"112-74=38"
] | Current State: 38:[81, 88, 74, 16], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [74, 16, 7]
Generated Node #2: [74, 16, 7] from Operation: 88-81=7
Current State: 38:[74, 16, 7], Operations: ['88-81=7']
Exploring Operation: 16*7=112, Resulting Numbers: [74, 112]
Generated Node #3: [74, 112] from Operation: 16*7=112
Current State: 38:[74, 112], Operations: ['88-81=7', '16*7=112']
Exploring Operation: 112-74=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
70,
29,
71,
6
] | 73 | [
"29+6=35",
"70/35=2",
"71+2=73"
] | Current State: 73:[70, 29, 71, 6], Operations: []
Exploring Operation: 29+6=35, Resulting Numbers: [70, 71, 35]
Generated Node #2: [70, 71, 35] from Operation: 29+6=35
Current State: 73:[70, 71, 35], Operations: ['29+6=35']
Exploring Operation: 70/35=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 70/35=2
Current State: 73:[71, 2], Operations: ['29+6=35', '70/35=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
41,
48,
11,
6
] | 18 | [
"41*6=246",
"246-48=198",
"198/11=18"
] | Current State: 18:[41, 48, 11, 6], Operations: []
Exploring Operation: 41*6=246, Resulting Numbers: [48, 11, 246]
Generated Node #2: [48, 11, 246] from Operation: 41*6=246
Current State: 18:[48, 11, 246], Operations: ['41*6=246']
Exploring Operation: 246-48=198, Resulting Numbers: [11, 198]
Generated Node #3: [11, 198] from Operation: 246-48=198
Current State: 18:[11, 198], Operations: ['41*6=246', '246-48=198']
Exploring Operation: 198/11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
88,
33,
31,
32
] | 28 | [
"88-32=56",
"33-31=2",
"56/2=28"
] | Current State: 28:[88, 33, 31, 32], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [33, 31, 56]
Generated Node #2: [33, 31, 56] from Operation: 88-32=56
Current State: 28:[33, 31, 56], Operations: ['88-32=56']
Exploring Operation: 33-31=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 33-31=2
Current State: 28:[56, 2], Operations: ['88-32=56', '33-31=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
84,
27,
80,
21
] | 44 | [
"84-27=57",
"80+21=101",
"101-57=44"
] | Current State: 44:[84, 27, 80, 21], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [80, 21, 57]
Generated Node #2: [80, 21, 57] from Operation: 84-27=57
Current State: 44:[80, 21, 57], Operations: ['84-27=57']
Exploring Operation: 80+21=101, Resulting Numbers: [57, 101]
Generated Node #3: [57, 101] from Operation: 80+21=101
Current State: 44:[57, 101], Operations: ['84-27=57', '80+21=101']
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
21,
10,
36,
91
] | 96 | [
"21+10=31",
"36+91=127",
"127-31=96"
] | Current State: 96:[21, 10, 36, 91], Operations: []
Exploring Operation: 21+10=31, Resulting Numbers: [36, 91, 31]
Generated Node #2: [36, 91, 31] from Operation: 21+10=31
Current State: 96:[36, 91, 31], Operations: ['21+10=31']
Exploring Operation: 36+91=127, Resulting Numbers: [31, 127]
Generated Node #3: [31, 127] from Operation: 36+91=127
Current State: 96:[31, 127], Operations: ['21+10=31', '36+91=127']
Exploring Operation: 127-31=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
30,
76,
34,
35
] | 16 | [
"34-30=4",
"76/4=19",
"35-19=16"
] | Current State: 16:[30, 76, 34, 35], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [76, 35, 4]
Generated Node #2: [76, 35, 4] from Operation: 34-30=4
Current State: 16:[76, 35, 4], Operations: ['34-30=4']
Exploring Operation: 76/4=19, Resulting Numbers: [35, 19]
Generated Node #3: [35, 19] from Operation: 76/4=19
Current State: 16:[35, 19], Operations: ['34-30=4', '76/4=19']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
66,
20,
11,
79
] | 10 | [
"66+11=77",
"79-77=2",
"20/2=10"
] | Current State: 10:[66, 20, 11, 79], Operations: []
Exploring Operation: 66+11=77, Resulting Numbers: [20, 79, 77]
Generated Node #2: [20, 79, 77] from Operation: 66+11=77
Current State: 10:[20, 79, 77], Operations: ['66+11=77']
Exploring Operation: 79-77=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 79-77=2
Current State: 10:[20, 2], Operations: ['66+11=77', '79-77=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
33,
66,
19,
95
] | 76 | [
"33+66=99",
"99-95=4",
"19*4=76"
] | Current State: 76:[33, 66, 19, 95], Operations: []
Exploring Operation: 33+66=99, Resulting Numbers: [19, 95, 99]
Generated Node #2: [19, 95, 99] from Operation: 33+66=99
Current State: 76:[19, 95, 99], Operations: ['33+66=99']
Exploring Operation: 99-95=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 99-95=4
Current State: 76:[19, 4], Operations: ['33+66=99', '99-95=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
83,
99,
30,
66
] | 80 | [
"99-83=16",
"30+66=96",
"96-16=80"
] | Current State: 80:[83, 99, 30, 66], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [30, 66, 16]
Generated Node #2: [30, 66, 16] from Operation: 99-83=16
Current State: 80:[30, 66, 16], Operations: ['99-83=16']
Exploring Operation: 30+66=96, Resulting Numbers: [16, 96]
Generated Node #3: [16, 96] from Operation: 30+66=96
Current State: 80:[16, 96], Operations: ['99-83=16', '30+66=96']
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
54,
67,
90
] | 43 | [
"90/3=30",
"67-54=13",
"30+13=43"
] | Current State: 43:[3, 54, 67, 90], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [54, 67, 30]
Generated Node #2: [54, 67, 30] from Operation: 90/3=30
Current State: 43:[54, 67, 30], Operations: ['90/3=30']
Exploring Operation: 67-54=13, Resulting Numbers: [30, 13]
Generated Node #3: [30, 13] from Operation: 67-54=13
Current State: 43:[30, 13], Operations: ['90/3=30', '67-54=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
67,
48,
95,
12
] | 17 | [
"67-48=19",
"95/19=5",
"12+5=17"
] | Current State: 17:[67, 48, 95, 12], Operations: []
Exploring Operation: 67-48=19, Resulting Numbers: [95, 12, 19]
Generated Node #2: [95, 12, 19] from Operation: 67-48=19
Current State: 17:[95, 12, 19], Operations: ['67-48=19']
Exploring Operation: 95/19=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 95/19=5
Current State: 17:[12, 5], Operations: ['67-48=19', '95/19=5']
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
69,
82,
3,
33
] | 86 | [
"82-69=13",
"3*33=99",
"99-13=86"
] | Current State: 86:[69, 82, 3, 33], Operations: []
Exploring Operation: 82-69=13, Resulting Numbers: [3, 33, 13]
Generated Node #2: [3, 33, 13] from Operation: 82-69=13
Current State: 86:[3, 33, 13], Operations: ['82-69=13']
Exploring Operation: 3*33=99, Resulting Numbers: [13, 99]
Generated Node #3: [13, 99] from Operation: 3*33=99
Current State: 86:[13, 99], Operations: ['82-69=13', '3*33=99']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
69,
97,
7,
88
] | 84 | [
"97-69=28",
"28/7=4",
"88-4=84"
] | Current State: 84:[69, 97, 7, 88], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [7, 88, 28]
Generated Node #2: [7, 88, 28] from Operation: 97-69=28
Current State: 84:[7, 88, 28], Operations: ['97-69=28']
Exploring Operation: 28/7=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 28/7=4
Current State: 84:[88, 4], Operations: ['97-69=28', '28/7=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
29,
88,
39,
61
] | 33 | [
"61-39=22",
"88/22=4",
"29+4=33"
] | Current State: 33:[29, 88, 39, 61], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [29, 88, 22]
Generated Node #2: [29, 88, 22] from Operation: 61-39=22
Current State: 33:[29, 88, 22], Operations: ['61-39=22']
Exploring Operation: 88/22=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 88/22=4
Current State: 33:[29, 4], Operations: ['61-39=22', '88/22=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
46,
53,
28,
35
] | 14 | [
"53-46=7",
"35-28=7",
"7+7=14"
] | Current State: 14:[46, 53, 28, 35], Operations: []
Exploring Operation: 53-46=7, Resulting Numbers: [28, 35, 7]
Generated Node #2: [28, 35, 7] from Operation: 53-46=7
Current State: 14:[28, 35, 7], Operations: ['53-46=7']
Exploring Operation: 35-28=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 35-28=7
Current State: 14:[7, 7], Operations: ['53-46=7', '35-28=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
80,
40,
33,
60
] | 35 | [
"80+40=120",
"120/60=2",
"33+2=35"
] | Current State: 35:[80, 40, 33, 60], Operations: []
Exploring Operation: 80+40=120, Resulting Numbers: [33, 60, 120]
Generated Node #2: [33, 60, 120] from Operation: 80+40=120
Current State: 35:[33, 60, 120], Operations: ['80+40=120']
Exploring Operation: 120/60=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 120/60=2
Current State: 35:[33, 2], Operations: ['80+40=120', '120/60=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
18,
84,
33,
1
] | 99 | [
"84-18=66",
"33*1=33",
"66+33=99"
] | Current State: 99:[18, 84, 33, 1], Operations: []
Exploring Operation: 84-18=66, Resulting Numbers: [33, 1, 66]
Generated Node #2: [33, 1, 66] from Operation: 84-18=66
Current State: 99:[33, 1, 66], Operations: ['84-18=66']
Exploring Operation: 33*1=33, Resulting Numbers: [66, 33]
Generated Node #3: [66, 33] from Operation: 33*1=33
Current State: 99:[66, 33], Operations: ['84-18=66', '33*1=33']
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
83,
53,
68,
56
] | 28 | [
"83+53=136",
"68*56=3808",
"3808/136=28"
] | Current State: 28:[83, 53, 68, 56], Operations: []
Exploring Operation: 83+53=136, Resulting Numbers: [68, 56, 136]
Generated Node #2: [68, 56, 136] from Operation: 83+53=136
Current State: 28:[68, 56, 136], Operations: ['83+53=136']
Exploring Operation: 68*56=3808, Resulting Numbers: [136, 3808]
Generated Node #3: [136, 3808] from Operation: 68*56=3808
Current State: 28:[136, 3808], Operations: ['83+53=136', '68*56=3808']
Exploring Operation: 3808/136=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
87,
11,
3,
5
] | 89 | [
"11-5=6",
"6/3=2",
"87+2=89"
] | Current State: 89:[87, 11, 3, 5], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [87, 3, 6]
Generated Node #2: [87, 3, 6] from Operation: 11-5=6
Current State: 89:[87, 3, 6], Operations: ['11-5=6']
Exploring Operation: 6/3=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 6/3=2
Current State: 89:[87, 2], Operations: ['11-5=6', '6/3=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
89,
86,
16,
52
] | 100 | [
"89-86=3",
"16*3=48",
"52+48=100"
] | Current State: 100:[89, 86, 16, 52], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [16, 52, 3]
Generated Node #2: [16, 52, 3] from Operation: 89-86=3
Current State: 100:[16, 52, 3], Operations: ['89-86=3']
Exploring Operation: 16*3=48, Resulting Numbers: [52, 48]
Generated Node #3: [52, 48] from Operation: 16*3=48
Current State: 100:[52, 48], Operations: ['89-86=3', '16*3=48']
Exploring Operation: 52+48=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
25,
34,
36,
3
] | 42 | [
"34-25=9",
"36-3=33",
"9+33=42"
] | Current State: 42:[25, 34, 36, 3], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [36, 3, 9]
Generated Node #2: [36, 3, 9] from Operation: 34-25=9
Current State: 42:[36, 3, 9], Operations: ['34-25=9']
Exploring Operation: 36-3=33, Resulting Numbers: [9, 33]
Generated Node #3: [9, 33] from Operation: 36-3=33
Current State: 42:[9, 33], Operations: ['34-25=9', '36-3=33']
Exploring Operation: 9+33=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
49,
98,
29,
52
] | 87 | [
"98-49=49",
"52-49=3",
"29*3=87"
] | Current State: 87:[49, 98, 29, 52], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [29, 52, 49]
Generated Node #2: [29, 52, 49] from Operation: 98-49=49
Current State: 87:[29, 52, 49], Operations: ['98-49=49']
Exploring Operation: 52-49=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 52-49=3
Current State: 87:[29, 3], Operations: ['98-49=49', '52-49=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
57,
54,
67,
69
] | 51 | [
"69-67=2",
"54*2=108",
"108-57=51"
] | Current State: 51:[57, 54, 67, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [57, 54, 2]
Generated Node #2: [57, 54, 2] from Operation: 69-67=2
Current State: 51:[57, 54, 2], Operations: ['69-67=2']
Exploring Operation: 54*2=108, Resulting Numbers: [57, 108]
Generated Node #3: [57, 108] from Operation: 54*2=108
Current State: 51:[57, 108], Operations: ['69-67=2', '54*2=108']
Exploring Operation: 108-57=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
56,
40,
14,
35
] | 63 | [
"56*35=1960",
"1960/40=49",
"14+49=63"
] | Current State: 63:[56, 40, 14, 35], Operations: []
Exploring Operation: 56*35=1960, Resulting Numbers: [40, 14, 1960]
Generated Node #2: [40, 14, 1960] from Operation: 56*35=1960
Current State: 63:[40, 14, 1960], Operations: ['56*35=1960']
Exploring Operation: 1960/40=49, Resulting Numbers: [14, 49]
Generated Node #3: [14, 49] from Operation: 1960/40=49
Current State: 63:[14, 49], Operations: ['56*35=1960', '1960/40=49']
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
9,
29,
31,
6
] | 89 | [
"29-9=20",
"6*20=120",
"120-31=89"
] | Current State: 89:[9, 29, 31, 6], Operations: []
Exploring Operation: 29-9=20, Resulting Numbers: [31, 6, 20]
Generated Node #2: [31, 6, 20] from Operation: 29-9=20
Current State: 89:[31, 6, 20], Operations: ['29-9=20']
Exploring Operation: 6*20=120, Resulting Numbers: [31, 120]
Generated Node #3: [31, 120] from Operation: 6*20=120
Current State: 89:[31, 120], Operations: ['29-9=20', '6*20=120']
Exploring Operation: 120-31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
19,
5,
6,
27
] | 53 | [
"27-19=8",
"6*8=48",
"5+48=53"
] | Current State: 53:[19, 5, 6, 27], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [5, 6, 8]
Generated Node #2: [5, 6, 8] from Operation: 27-19=8
Current State: 53:[5, 6, 8], Operations: ['27-19=8']
Exploring Operation: 6*8=48, Resulting Numbers: [5, 48]
Generated Node #3: [5, 48] from Operation: 6*8=48
Current State: 53:[5, 48], Operations: ['27-19=8', '6*8=48']
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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