nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
97,
32,
56,
7
] | 63 | [
"97-32=65",
"65-56=9",
"7*9=63"
] | Current State: 63:[97, 32, 56, 7], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [56, 7, 65]
Generated Node #2: [56, 7, 65] from Operation: 97-32=65
Current State: 63:[56, 7, 65], Operations: ['97-32=65']
Exploring Operation: 65-56=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 65-56=9
Current State: 63:[7, 9], Operations: ['97-32=65', '65-56=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
15,
74,
67,
67
] | 74 | [
"67-67=0",
"15*0=0",
"74+0=74"
] | Current State: 74:[15, 74, 67, 67], Operations: []
Exploring Operation: 67-67=0, Resulting Numbers: [15, 74, 0]
Generated Node #2: [15, 74, 0] from Operation: 67-67=0
Current State: 74:[15, 74, 0], Operations: ['67-67=0']
Exploring Operation: 15*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 15*0=0
Current State: 74:[74, 0], Operations: ['67-67=0', '15*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
39,
25,
33,
40
] | 59 | [
"39-25=14",
"33+40=73",
"73-14=59"
] | Current State: 59:[39, 25, 33, 40], Operations: []
Exploring Operation: 39-25=14, Resulting Numbers: [33, 40, 14]
Generated Node #2: [33, 40, 14] from Operation: 39-25=14
Current State: 59:[33, 40, 14], Operations: ['39-25=14']
Exploring Operation: 33+40=73, Resulting Numbers: [14, 73]
Generated Node #3: [14, 73] from Operation: 33+40=73
Current State: 59:[14, 73], Operations: ['39-25=14', '33+40=73']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
48,
72,
64,
14
] | 52 | [
"64+14=78",
"48*78=3744",
"3744/72=52"
] | Current State: 52:[48, 72, 64, 14], Operations: []
Exploring Operation: 64+14=78, Resulting Numbers: [48, 72, 78]
Generated Node #2: [48, 72, 78] from Operation: 64+14=78
Current State: 52:[48, 72, 78], Operations: ['64+14=78']
Exploring Operation: 48*78=3744, Resulting Numbers: [72, 3744]
Generated Node #3: [72, 3744] from Operation: 48*78=3744
Current State: 52:[72, 3744], Operations: ['64+14=78', '48*78=3744']
Exploring Operation: 3744/72=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
36,
46,
21
] | 51 | [
"52-36=16",
"46+21=67",
"67-16=51"
] | Current State: 51:[52, 36, 46, 21], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [46, 21, 16]
Generated Node #2: [46, 21, 16] from Operation: 52-36=16
Current State: 51:[46, 21, 16], Operations: ['52-36=16']
Exploring Operation: 46+21=67, Resulting Numbers: [16, 67]
Generated Node #3: [16, 67] from Operation: 46+21=67
Current State: 51:[16, 67], Operations: ['52-36=16', '46+21=67']
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
99,
41,
40,
65
] | 36 | [
"99+65=164",
"164/41=4",
"40-4=36"
] | Current State: 36:[99, 41, 40, 65], Operations: []
Exploring Operation: 99+65=164, Resulting Numbers: [41, 40, 164]
Generated Node #2: [41, 40, 164] from Operation: 99+65=164
Current State: 36:[41, 40, 164], Operations: ['99+65=164']
Exploring Operation: 164/41=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 164/41=4
Current State: 36:[40, 4], Operations: ['99+65=164', '164/41=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
26,
72,
3
] | 88 | [
"14*3=42",
"72-26=46",
"42+46=88"
] | Current State: 88:[14, 26, 72, 3], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [26, 72, 42]
Generated Node #2: [26, 72, 42] from Operation: 14*3=42
Current State: 88:[26, 72, 42], Operations: ['14*3=42']
Exploring Operation: 72-26=46, Resulting Numbers: [42, 46]
Generated Node #3: [42, 46] from Operation: 72-26=46
Current State: 88:[42, 46], Operations: ['14*3=42', '72-26=46']
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
66,
50,
7,
1
] | 24 | [
"66-50=16",
"7+1=8",
"16+8=24"
] | Current State: 24:[66, 50, 7, 1], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [7, 1, 16]
Generated Node #2: [7, 1, 16] from Operation: 66-50=16
Current State: 24:[7, 1, 16], Operations: ['66-50=16']
Exploring Operation: 7+1=8, Resulting Numbers: [16, 8]
Generated Node #3: [16, 8] from Operation: 7+1=8
Current State: 24:[16, 8], Operations: ['66-50=16', '7+1=8']
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
90,
89,
15,
99
] | 84 | [
"90-89=1",
"99-15=84",
"1*84=84"
] | Current State: 84:[90, 89, 15, 99], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [15, 99, 1]
Generated Node #2: [15, 99, 1] from Operation: 90-89=1
Current State: 84:[15, 99, 1], Operations: ['90-89=1']
Exploring Operation: 99-15=84, Resulting Numbers: [1, 84]
Generated Node #3: [1, 84] from Operation: 99-15=84
Current State: 84:[1, 84], Operations: ['90-89=1', '99-15=84']
Exploring Operation: 1*84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
57,
73,
59
] | 38 | [
"73-59=14",
"57*14=798",
"798/21=38"
] | Current State: 38:[21, 57, 73, 59], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [21, 57, 14]
Generated Node #2: [21, 57, 14] from Operation: 73-59=14
Current State: 38:[21, 57, 14], Operations: ['73-59=14']
Exploring Operation: 57*14=798, Resulting Numbers: [21, 798]
Generated Node #3: [21, 798] from Operation: 57*14=798
Current State: 38:[21, 798], Operations: ['73-59=14', '57*14=798']
Exploring Operation: 798/21=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
89,
85,
89,
10
] | 85 | [
"89-89=0",
"10*0=0",
"85+0=85"
] | Current State: 85:[89, 85, 89, 10], Operations: []
Exploring Operation: 89-89=0, Resulting Numbers: [85, 10, 0]
Generated Node #2: [85, 10, 0] from Operation: 89-89=0
Current State: 85:[85, 10, 0], Operations: ['89-89=0']
Exploring Operation: 10*0=0, Resulting Numbers: [85, 0]
Generated Node #3: [85, 0] from Operation: 10*0=0
Current State: 85:[85, 0], Operations: ['89-89=0', '10*0=0']
Exploring Operation: 85+0=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
11,
15,
8,
2
] | 58 | [
"11*8=88",
"15*2=30",
"88-30=58"
] | Current State: 58:[11, 15, 8, 2], Operations: []
Exploring Operation: 11*8=88, Resulting Numbers: [15, 2, 88]
Generated Node #2: [15, 2, 88] from Operation: 11*8=88
Current State: 58:[15, 2, 88], Operations: ['11*8=88']
Exploring Operation: 15*2=30, Resulting Numbers: [88, 30]
Generated Node #3: [88, 30] from Operation: 15*2=30
Current State: 58:[88, 30], Operations: ['11*8=88', '15*2=30']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
32,
42,
74,
50
] | 49 | [
"32+42=74",
"74/74=1",
"50-1=49"
] | Current State: 49:[32, 42, 74, 50], Operations: []
Exploring Operation: 32+42=74, Resulting Numbers: [74, 50, 74]
Generated Node #2: [74, 50, 74] from Operation: 32+42=74
Current State: 49:[74, 50, 74], Operations: ['32+42=74']
Exploring Operation: 74/74=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 74/74=1
Current State: 49:[50, 1], Operations: ['32+42=74', '74/74=1']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
55,
16,
2,
96
] | 46 | [
"55+16=71",
"2*71=142",
"142-96=46"
] | Current State: 46:[55, 16, 2, 96], Operations: []
Exploring Operation: 55+16=71, Resulting Numbers: [2, 96, 71]
Generated Node #2: [2, 96, 71] from Operation: 55+16=71
Current State: 46:[2, 96, 71], Operations: ['55+16=71']
Exploring Operation: 2*71=142, Resulting Numbers: [96, 142]
Generated Node #3: [96, 142] from Operation: 2*71=142
Current State: 46:[96, 142], Operations: ['55+16=71', '2*71=142']
Exploring Operation: 142-96=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
52,
62,
80,
3
] | 14 | [
"52*3=156",
"62+80=142",
"156-142=14"
] | Current State: 14:[52, 62, 80, 3], Operations: []
Exploring Operation: 52*3=156, Resulting Numbers: [62, 80, 156]
Generated Node #2: [62, 80, 156] from Operation: 52*3=156
Current State: 14:[62, 80, 156], Operations: ['52*3=156']
Exploring Operation: 62+80=142, Resulting Numbers: [156, 142]
Generated Node #3: [156, 142] from Operation: 62+80=142
Current State: 14:[156, 142], Operations: ['52*3=156', '62+80=142']
Exploring Operation: 156-142=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
24,
57,
2,
44
] | 89 | [
"24/2=12",
"57+44=101",
"101-12=89"
] | Current State: 89:[24, 57, 2, 44], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [57, 44, 12]
Generated Node #2: [57, 44, 12] from Operation: 24/2=12
Current State: 89:[57, 44, 12], Operations: ['24/2=12']
Exploring Operation: 57+44=101, Resulting Numbers: [12, 101]
Generated Node #3: [12, 101] from Operation: 57+44=101
Current State: 89:[12, 101], Operations: ['24/2=12', '57+44=101']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
95,
97,
4,
15
] | 62 | [
"97-95=2",
"4*15=60",
"2+60=62"
] | Current State: 62:[95, 97, 4, 15], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [4, 15, 2]
Generated Node #2: [4, 15, 2] from Operation: 97-95=2
Current State: 62:[4, 15, 2], Operations: ['97-95=2']
Exploring Operation: 4*15=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 4*15=60
Current State: 62:[2, 60], Operations: ['97-95=2', '4*15=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
59,
25,
66
] | 46 | [
"66-59=7",
"3*7=21",
"25+21=46"
] | Current State: 46:[3, 59, 25, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [3, 25, 7]
Generated Node #2: [3, 25, 7] from Operation: 66-59=7
Current State: 46:[3, 25, 7], Operations: ['66-59=7']
Exploring Operation: 3*7=21, Resulting Numbers: [25, 21]
Generated Node #3: [25, 21] from Operation: 3*7=21
Current State: 46:[25, 21], Operations: ['66-59=7', '3*7=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
24,
85,
12
] | 83 | [
"24-12=12",
"12/6=2",
"85-2=83"
] | Current State: 83:[6, 24, 85, 12], Operations: []
Exploring Operation: 24-12=12, Resulting Numbers: [6, 85, 12]
Generated Node #2: [6, 85, 12] from Operation: 24-12=12
Current State: 83:[6, 85, 12], Operations: ['24-12=12']
Exploring Operation: 12/6=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 12/6=2
Current State: 83:[85, 2], Operations: ['24-12=12', '12/6=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
53,
57,
3,
94
] | 95 | [
"57-53=4",
"94-3=91",
"4+91=95"
] | Current State: 95:[53, 57, 3, 94], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [3, 94, 4]
Generated Node #2: [3, 94, 4] from Operation: 57-53=4
Current State: 95:[3, 94, 4], Operations: ['57-53=4']
Exploring Operation: 94-3=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 94-3=91
Current State: 95:[4, 91], Operations: ['57-53=4', '94-3=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
60,
67,
73,
87
] | 77 | [
"73-67=6",
"60/6=10",
"87-10=77"
] | Current State: 77:[60, 67, 73, 87], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [60, 87, 6]
Generated Node #2: [60, 87, 6] from Operation: 73-67=6
Current State: 77:[60, 87, 6], Operations: ['73-67=6']
Exploring Operation: 60/6=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 60/6=10
Current State: 77:[87, 10], Operations: ['73-67=6', '60/6=10']
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
21,
30,
20,
86
] | 56 | [
"21-20=1",
"86-30=56",
"1*56=56"
] | Current State: 56:[21, 30, 20, 86], Operations: []
Exploring Operation: 21-20=1, Resulting Numbers: [30, 86, 1]
Generated Node #2: [30, 86, 1] from Operation: 21-20=1
Current State: 56:[30, 86, 1], Operations: ['21-20=1']
Exploring Operation: 86-30=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 86-30=56
Current State: 56:[1, 56], Operations: ['21-20=1', '86-30=56']
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
6,
82,
92,
14
] | 56 | [
"6+82=88",
"92-88=4",
"14*4=56"
] | Current State: 56:[6, 82, 92, 14], Operations: []
Exploring Operation: 6+82=88, Resulting Numbers: [92, 14, 88]
Generated Node #2: [92, 14, 88] from Operation: 6+82=88
Current State: 56:[92, 14, 88], Operations: ['6+82=88']
Exploring Operation: 92-88=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 92-88=4
Current State: 56:[14, 4], Operations: ['6+82=88', '92-88=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
8,
74,
80,
62
] | 20 | [
"74-8=66",
"66-62=4",
"80/4=20"
] | Current State: 20:[8, 74, 80, 62], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [80, 62, 66]
Generated Node #2: [80, 62, 66] from Operation: 74-8=66
Current State: 20:[80, 62, 66], Operations: ['74-8=66']
Exploring Operation: 66-62=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 66-62=4
Current State: 20:[80, 4], Operations: ['74-8=66', '66-62=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
86,
59,
75,
80
] | 22 | [
"86-59=27",
"80-75=5",
"27-5=22"
] | Current State: 22:[86, 59, 75, 80], Operations: []
Exploring Operation: 86-59=27, Resulting Numbers: [75, 80, 27]
Generated Node #2: [75, 80, 27] from Operation: 86-59=27
Current State: 22:[75, 80, 27], Operations: ['86-59=27']
Exploring Operation: 80-75=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 80-75=5
Current State: 22:[27, 5], Operations: ['86-59=27', '80-75=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
86,
56,
75,
1
] | 44 | [
"86-56=30",
"75-1=74",
"74-30=44"
] | Current State: 44:[86, 56, 75, 1], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [75, 1, 30]
Generated Node #2: [75, 1, 30] from Operation: 86-56=30
Current State: 44:[75, 1, 30], Operations: ['86-56=30']
Exploring Operation: 75-1=74, Resulting Numbers: [30, 74]
Generated Node #3: [30, 74] from Operation: 75-1=74
Current State: 44:[30, 74], Operations: ['86-56=30', '75-1=74']
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
79,
27,
37,
4
] | 93 | [
"79-27=52",
"37+4=41",
"52+41=93"
] | Current State: 93:[79, 27, 37, 4], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [37, 4, 52]
Generated Node #2: [37, 4, 52] from Operation: 79-27=52
Current State: 93:[37, 4, 52], Operations: ['79-27=52']
Exploring Operation: 37+4=41, Resulting Numbers: [52, 41]
Generated Node #3: [52, 41] from Operation: 37+4=41
Current State: 93:[52, 41], Operations: ['79-27=52', '37+4=41']
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
90,
25,
16,
36
] | 46 | [
"25-16=9",
"90/9=10",
"36+10=46"
] | Current State: 46:[90, 25, 16, 36], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [90, 36, 9]
Generated Node #2: [90, 36, 9] from Operation: 25-16=9
Current State: 46:[90, 36, 9], Operations: ['25-16=9']
Exploring Operation: 90/9=10, Resulting Numbers: [36, 10]
Generated Node #3: [36, 10] from Operation: 90/9=10
Current State: 46:[36, 10], Operations: ['25-16=9', '90/9=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
91,
42,
45,
22
] | 72 | [
"91-42=49",
"45-22=23",
"49+23=72"
] | Current State: 72:[91, 42, 45, 22], Operations: []
Exploring Operation: 91-42=49, Resulting Numbers: [45, 22, 49]
Generated Node #2: [45, 22, 49] from Operation: 91-42=49
Current State: 72:[45, 22, 49], Operations: ['91-42=49']
Exploring Operation: 45-22=23, Resulting Numbers: [49, 23]
Generated Node #3: [49, 23] from Operation: 45-22=23
Current State: 72:[49, 23], Operations: ['91-42=49', '45-22=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
42,
40,
39
] | 53 | [
"43-40=3",
"42/3=14",
"39+14=53"
] | Current State: 53:[43, 42, 40, 39], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [42, 39, 3]
Generated Node #2: [42, 39, 3] from Operation: 43-40=3
Current State: 53:[42, 39, 3], Operations: ['43-40=3']
Exploring Operation: 42/3=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 42/3=14
Current State: 53:[39, 14], Operations: ['43-40=3', '42/3=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
91,
48,
80,
65
] | 28 | [
"91-48=43",
"80-65=15",
"43-15=28"
] | Current State: 28:[91, 48, 80, 65], Operations: []
Exploring Operation: 91-48=43, Resulting Numbers: [80, 65, 43]
Generated Node #2: [80, 65, 43] from Operation: 91-48=43
Current State: 28:[80, 65, 43], Operations: ['91-48=43']
Exploring Operation: 80-65=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 80-65=15
Current State: 28:[43, 15], Operations: ['91-48=43', '80-65=15']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
9,
4,
4,
18
] | 18 | [
"9-4=5",
"5-4=1",
"18*1=18"
] | Current State: 18:[9, 4, 4, 18], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [18, 5]
Generated Node #2: [18, 5] from Operation: 9-4=5
Current State: 18:[18, 5], Operations: ['9-4=5']
Exploring Operation: 5-4=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 5-4=1
Current State: 18:[18, 1], Operations: ['9-4=5', '5-4=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
28,
62,
48,
64
] | 18 | [
"62-28=34",
"64-48=16",
"34-16=18"
] | Current State: 18:[28, 62, 48, 64], Operations: []
Exploring Operation: 62-28=34, Resulting Numbers: [48, 64, 34]
Generated Node #2: [48, 64, 34] from Operation: 62-28=34
Current State: 18:[48, 64, 34], Operations: ['62-28=34']
Exploring Operation: 64-48=16, Resulting Numbers: [34, 16]
Generated Node #3: [34, 16] from Operation: 64-48=16
Current State: 18:[34, 16], Operations: ['62-28=34', '64-48=16']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
33,
11,
87,
39
] | 74 | [
"33/11=3",
"39/3=13",
"87-13=74"
] | Current State: 74:[33, 11, 87, 39], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [87, 39, 3]
Generated Node #2: [87, 39, 3] from Operation: 33/11=3
Current State: 74:[87, 39, 3], Operations: ['33/11=3']
Exploring Operation: 39/3=13, Resulting Numbers: [87, 13]
Generated Node #3: [87, 13] from Operation: 39/3=13
Current State: 74:[87, 13], Operations: ['33/11=3', '39/3=13']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
97,
53,
17,
42
] | 91 | [
"97+53=150",
"17+42=59",
"150-59=91"
] | Current State: 91:[97, 53, 17, 42], Operations: []
Exploring Operation: 97+53=150, Resulting Numbers: [17, 42, 150]
Generated Node #2: [17, 42, 150] from Operation: 97+53=150
Current State: 91:[17, 42, 150], Operations: ['97+53=150']
Exploring Operation: 17+42=59, Resulting Numbers: [150, 59]
Generated Node #3: [150, 59] from Operation: 17+42=59
Current State: 91:[150, 59], Operations: ['97+53=150', '17+42=59']
Exploring Operation: 150-59=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
34,
34,
72
] | 77 | [
"5+34=39",
"72-34=38",
"39+38=77"
] | Current State: 77:[5, 34, 34, 72], Operations: []
Exploring Operation: 5+34=39, Resulting Numbers: [72, 39]
Generated Node #2: [72, 39] from Operation: 5+34=39
Current State: 77:[72, 39], Operations: ['5+34=39']
Exploring Operation: 72-34=38, Resulting Numbers: [39, 38]
Generated Node #3: [39, 38] from Operation: 72-34=38
Current State: 77:[39, 38], Operations: ['5+34=39', '72-34=38']
Exploring Operation: 39+38=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
1,
4,
77,
84
] | 65 | [
"77-1=76",
"76/4=19",
"84-19=65"
] | Current State: 65:[1, 4, 77, 84], Operations: []
Exploring Operation: 77-1=76, Resulting Numbers: [4, 84, 76]
Generated Node #2: [4, 84, 76] from Operation: 77-1=76
Current State: 65:[4, 84, 76], Operations: ['77-1=76']
Exploring Operation: 76/4=19, Resulting Numbers: [84, 19]
Generated Node #3: [84, 19] from Operation: 76/4=19
Current State: 65:[84, 19], Operations: ['77-1=76', '76/4=19']
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
87,
40,
47,
76
] | 37 | [
"76-47=29",
"87/29=3",
"40-3=37"
] | Current State: 37:[87, 40, 47, 76], Operations: []
Exploring Operation: 76-47=29, Resulting Numbers: [87, 40, 29]
Generated Node #2: [87, 40, 29] from Operation: 76-47=29
Current State: 37:[87, 40, 29], Operations: ['76-47=29']
Exploring Operation: 87/29=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 87/29=3
Current State: 37:[40, 3], Operations: ['76-47=29', '87/29=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
80,
96,
16,
44
] | 44 | [
"96-80=16",
"16+44=60",
"60-16=44"
] | Current State: 44:[80, 96, 16, 44], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [16, 44, 16]
Generated Node #2: [16, 44, 16] from Operation: 96-80=16
Current State: 44:[16, 44, 16], Operations: ['96-80=16']
Exploring Operation: 16+44=60, Resulting Numbers: [60]
60,44 equal: Goal Reached
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
47,
33,
57,
96
] | 73 | [
"47+33=80",
"57+96=153",
"153-80=73"
] | Current State: 73:[47, 33, 57, 96], Operations: []
Exploring Operation: 47+33=80, Resulting Numbers: [57, 96, 80]
Generated Node #2: [57, 96, 80] from Operation: 47+33=80
Current State: 73:[57, 96, 80], Operations: ['47+33=80']
Exploring Operation: 57+96=153, Resulting Numbers: [80, 153]
Generated Node #3: [80, 153] from Operation: 57+96=153
Current State: 73:[80, 153], Operations: ['47+33=80', '57+96=153']
Exploring Operation: 153-80=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
99,
48,
6
] | 89 | [
"48/3=16",
"99+6=105",
"105-16=89"
] | Current State: 89:[3, 99, 48, 6], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [99, 6, 16]
Generated Node #2: [99, 6, 16] from Operation: 48/3=16
Current State: 89:[99, 6, 16], Operations: ['48/3=16']
Exploring Operation: 99+6=105, Resulting Numbers: [16, 105]
Generated Node #3: [16, 105] from Operation: 99+6=105
Current State: 89:[16, 105], Operations: ['48/3=16', '99+6=105']
Exploring Operation: 105-16=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
70,
9,
2,
26
] | 81 | [
"70/2=35",
"35-26=9",
"9*9=81"
] | Current State: 81:[70, 9, 2, 26], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [9, 26, 35]
Generated Node #2: [9, 26, 35] from Operation: 70/2=35
Current State: 81:[9, 26, 35], Operations: ['70/2=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 35-26=9
Current State: 81:[9, 9], Operations: ['70/2=35', '35-26=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
50,
69,
75,
25
] | 69 | [
"50+69=119",
"75-25=50",
"119-50=69"
] | Current State: 69:[50, 69, 75, 25], Operations: []
Exploring Operation: 50+69=119, Resulting Numbers: [75, 25, 119]
Generated Node #2: [75, 25, 119] from Operation: 50+69=119
Current State: 69:[75, 25, 119], Operations: ['50+69=119']
Exploring Operation: 75-25=50, Resulting Numbers: [119, 50]
Generated Node #3: [119, 50] from Operation: 75-25=50
Current State: 69:[119, 50], Operations: ['50+69=119', '75-25=50']
Exploring Operation: 119-50=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
22,
30,
5
] | 45 | [
"22-7=15",
"5*15=75",
"75-30=45"
] | Current State: 45:[7, 22, 30, 5], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [30, 5, 15]
Generated Node #2: [30, 5, 15] from Operation: 22-7=15
Current State: 45:[30, 5, 15], Operations: ['22-7=15']
Exploring Operation: 5*15=75, Resulting Numbers: [30, 75]
Generated Node #3: [30, 75] from Operation: 5*15=75
Current State: 45:[30, 75], Operations: ['22-7=15', '5*15=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
42,
41,
34,
28
] | 89 | [
"42+41=83",
"34-28=6",
"83+6=89"
] | Current State: 89:[42, 41, 34, 28], Operations: []
Exploring Operation: 42+41=83, Resulting Numbers: [34, 28, 83]
Generated Node #2: [34, 28, 83] from Operation: 42+41=83
Current State: 89:[34, 28, 83], Operations: ['42+41=83']
Exploring Operation: 34-28=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 34-28=6
Current State: 89:[83, 6], Operations: ['42+41=83', '34-28=6']
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
8,
38,
8,
75
] | 37 | [
"8+38=46",
"8+75=83",
"83-46=37"
] | Current State: 37:[8, 38, 8, 75], Operations: []
Exploring Operation: 8+38=46, Resulting Numbers: [75, 46]
Generated Node #2: [75, 46] from Operation: 8+38=46
Current State: 37:[75, 46], Operations: ['8+38=46']
Exploring Operation: 8+75=83, Resulting Numbers: [46, 83]
Generated Node #3: [46, 83] from Operation: 8+75=83
Current State: 37:[46, 83], Operations: ['8+38=46', '8+75=83']
Exploring Operation: 83-46=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
2,
67,
59,
45
] | 36 | [
"2*45=90",
"67+59=126",
"126-90=36"
] | Current State: 36:[2, 67, 59, 45], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [67, 59, 90]
Generated Node #2: [67, 59, 90] from Operation: 2*45=90
Current State: 36:[67, 59, 90], Operations: ['2*45=90']
Exploring Operation: 67+59=126, Resulting Numbers: [90, 126]
Generated Node #3: [90, 126] from Operation: 67+59=126
Current State: 36:[90, 126], Operations: ['2*45=90', '67+59=126']
Exploring Operation: 126-90=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
66,
60,
57,
30
] | 81 | [
"66-60=6",
"57+30=87",
"87-6=81"
] | Current State: 81:[66, 60, 57, 30], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [57, 30, 6]
Generated Node #2: [57, 30, 6] from Operation: 66-60=6
Current State: 81:[57, 30, 6], Operations: ['66-60=6']
Exploring Operation: 57+30=87, Resulting Numbers: [6, 87]
Generated Node #3: [6, 87] from Operation: 57+30=87
Current State: 81:[6, 87], Operations: ['66-60=6', '57+30=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
76,
40,
36,
76
] | 76 | [
"76+40=116",
"76-36=40",
"116-40=76"
] | Current State: 76:[76, 40, 36, 76], Operations: []
Exploring Operation: 76+40=116, Resulting Numbers: [36, 116]
Generated Node #2: [36, 116] from Operation: 76+40=116
Current State: 76:[36, 116], Operations: ['76+40=116']
Exploring Operation: 76-36=40, Resulting Numbers: [116, 40]
Generated Node #3: [116, 40] from Operation: 76-36=40
Current State: 76:[116, 40], Operations: ['76+40=116', '76-36=40']
Exploring Operation: 116-40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
56,
3,
82
] | 88 | [
"82-2=80",
"56*3=168",
"168-80=88"
] | Current State: 88:[2, 56, 3, 82], Operations: []
Exploring Operation: 82-2=80, Resulting Numbers: [56, 3, 80]
Generated Node #2: [56, 3, 80] from Operation: 82-2=80
Current State: 88:[56, 3, 80], Operations: ['82-2=80']
Exploring Operation: 56*3=168, Resulting Numbers: [80, 168]
Generated Node #3: [80, 168] from Operation: 56*3=168
Current State: 88:[80, 168], Operations: ['82-2=80', '56*3=168']
Exploring Operation: 168-80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
19,
84,
30,
18
] | 17 | [
"84-19=65",
"30+18=48",
"65-48=17"
] | Current State: 17:[19, 84, 30, 18], Operations: []
Exploring Operation: 84-19=65, Resulting Numbers: [30, 18, 65]
Generated Node #2: [30, 18, 65] from Operation: 84-19=65
Current State: 17:[30, 18, 65], Operations: ['84-19=65']
Exploring Operation: 30+18=48, Resulting Numbers: [65, 48]
Generated Node #3: [65, 48] from Operation: 30+18=48
Current State: 17:[65, 48], Operations: ['84-19=65', '30+18=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
70,
66,
81,
44
] | 38 | [
"81-70=11",
"66/11=6",
"44-6=38"
] | Current State: 38:[70, 66, 81, 44], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [66, 44, 11]
Generated Node #2: [66, 44, 11] from Operation: 81-70=11
Current State: 38:[66, 44, 11], Operations: ['81-70=11']
Exploring Operation: 66/11=6, Resulting Numbers: [44, 6]
Generated Node #3: [44, 6] from Operation: 66/11=6
Current State: 38:[44, 6], Operations: ['81-70=11', '66/11=6']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
49,
58,
27,
3
] | 30 | [
"58-49=9",
"9/3=3",
"27+3=30"
] | Current State: 30:[49, 58, 27, 3], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [27, 3, 9]
Generated Node #2: [27, 3, 9] from Operation: 58-49=9
Current State: 30:[27, 3, 9], Operations: ['58-49=9']
Exploring Operation: 9/3=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 9/3=3
Current State: 30:[27, 3], Operations: ['58-49=9', '9/3=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
75,
84,
28,
77
] | 60 | [
"75*84=6300",
"28+77=105",
"6300/105=60"
] | Current State: 60:[75, 84, 28, 77], Operations: []
Exploring Operation: 75*84=6300, Resulting Numbers: [28, 77, 6300]
Generated Node #2: [28, 77, 6300] from Operation: 75*84=6300
Current State: 60:[28, 77, 6300], Operations: ['75*84=6300']
Exploring Operation: 28+77=105, Resulting Numbers: [6300, 105]
Generated Node #3: [6300, 105] from Operation: 28+77=105
Current State: 60:[6300, 105], Operations: ['75*84=6300', '28+77=105']
Exploring Operation: 6300/105=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
90,
67,
95,
3
] | 69 | [
"90-67=23",
"95-3=92",
"92-23=69"
] | Current State: 69:[90, 67, 95, 3], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [95, 3, 23]
Generated Node #2: [95, 3, 23] from Operation: 90-67=23
Current State: 69:[95, 3, 23], Operations: ['90-67=23']
Exploring Operation: 95-3=92, Resulting Numbers: [23, 92]
Generated Node #3: [23, 92] from Operation: 95-3=92
Current State: 69:[23, 92], Operations: ['90-67=23', '95-3=92']
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
90,
54,
15,
36
] | 48 | [
"90/15=6",
"36/6=6",
"54-6=48"
] | Current State: 48:[90, 54, 15, 36], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [54, 36, 6]
Generated Node #2: [54, 36, 6] from Operation: 90/15=6
Current State: 48:[54, 36, 6], Operations: ['90/15=6']
Exploring Operation: 36/6=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 36/6=6
Current State: 48:[54, 6], Operations: ['90/15=6', '36/6=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
73,
24,
48,
69
] | 69 | [
"73-24=49",
"49-48=1",
"69*1=69"
] | Current State: 69:[73, 24, 48, 69], Operations: []
Exploring Operation: 73-24=49, Resulting Numbers: [48, 69, 49]
Generated Node #2: [48, 69, 49] from Operation: 73-24=49
Current State: 69:[48, 69, 49], Operations: ['73-24=49']
Exploring Operation: 49-48=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 49-48=1
Current State: 69:[69, 1], Operations: ['73-24=49', '49-48=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
63,
3,
18,
87
] | 60 | [
"63+18=81",
"81/3=27",
"87-27=60"
] | Current State: 60:[63, 3, 18, 87], Operations: []
Exploring Operation: 63+18=81, Resulting Numbers: [3, 87, 81]
Generated Node #2: [3, 87, 81] from Operation: 63+18=81
Current State: 60:[3, 87, 81], Operations: ['63+18=81']
Exploring Operation: 81/3=27, Resulting Numbers: [87, 27]
Generated Node #3: [87, 27] from Operation: 81/3=27
Current State: 60:[87, 27], Operations: ['63+18=81', '81/3=27']
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
46,
26,
92,
2
] | 33 | [
"92-46=46",
"26/2=13",
"46-13=33"
] | Current State: 33:[46, 26, 92, 2], Operations: []
Exploring Operation: 92-46=46, Resulting Numbers: [26, 2, 46]
Generated Node #2: [26, 2, 46] from Operation: 92-46=46
Current State: 33:[26, 2, 46], Operations: ['92-46=46']
Exploring Operation: 26/2=13, Resulting Numbers: [46, 13]
Generated Node #3: [46, 13] from Operation: 26/2=13
Current State: 33:[46, 13], Operations: ['92-46=46', '26/2=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
59,
6,
38,
57
] | 50 | [
"59-57=2",
"6*2=12",
"38+12=50"
] | Current State: 50:[59, 6, 38, 57], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [6, 38, 2]
Generated Node #2: [6, 38, 2] from Operation: 59-57=2
Current State: 50:[6, 38, 2], Operations: ['59-57=2']
Exploring Operation: 6*2=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 6*2=12
Current State: 50:[38, 12], Operations: ['59-57=2', '6*2=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
83,
75,
46,
24
] | 78 | [
"83-75=8",
"46+24=70",
"8+70=78"
] | Current State: 78:[83, 75, 46, 24], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [46, 24, 8]
Generated Node #2: [46, 24, 8] from Operation: 83-75=8
Current State: 78:[46, 24, 8], Operations: ['83-75=8']
Exploring Operation: 46+24=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 46+24=70
Current State: 78:[8, 70], Operations: ['83-75=8', '46+24=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
94,
31,
54,
1
] | 51 | [
"94-1=93",
"93/31=3",
"54-3=51"
] | Current State: 51:[94, 31, 54, 1], Operations: []
Exploring Operation: 94-1=93, Resulting Numbers: [31, 54, 93]
Generated Node #2: [31, 54, 93] from Operation: 94-1=93
Current State: 51:[31, 54, 93], Operations: ['94-1=93']
Exploring Operation: 93/31=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 93/31=3
Current State: 51:[54, 3], Operations: ['94-1=93', '93/31=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
97,
2,
53,
65
] | 11 | [
"97-65=32",
"2*32=64",
"64-53=11"
] | Current State: 11:[97, 2, 53, 65], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [2, 53, 32]
Generated Node #2: [2, 53, 32] from Operation: 97-65=32
Current State: 11:[2, 53, 32], Operations: ['97-65=32']
Exploring Operation: 2*32=64, Resulting Numbers: [53, 64]
Generated Node #3: [53, 64] from Operation: 2*32=64
Current State: 11:[53, 64], Operations: ['97-65=32', '2*32=64']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
78,
8,
87,
45
] | 62 | [
"78-8=70",
"87+45=132",
"132-70=62"
] | Current State: 62:[78, 8, 87, 45], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [87, 45, 70]
Generated Node #2: [87, 45, 70] from Operation: 78-8=70
Current State: 62:[87, 45, 70], Operations: ['78-8=70']
Exploring Operation: 87+45=132, Resulting Numbers: [70, 132]
Generated Node #3: [70, 132] from Operation: 87+45=132
Current State: 62:[70, 132], Operations: ['78-8=70', '87+45=132']
Exploring Operation: 132-70=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
6,
17,
64,
8
] | 86 | [
"17+8=25",
"6*25=150",
"150-64=86"
] | Current State: 86:[6, 17, 64, 8], Operations: []
Exploring Operation: 17+8=25, Resulting Numbers: [6, 64, 25]
Generated Node #2: [6, 64, 25] from Operation: 17+8=25
Current State: 86:[6, 64, 25], Operations: ['17+8=25']
Exploring Operation: 6*25=150, Resulting Numbers: [64, 150]
Generated Node #3: [64, 150] from Operation: 6*25=150
Current State: 86:[64, 150], Operations: ['17+8=25', '6*25=150']
Exploring Operation: 150-64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
55,
3,
81
] | 78 | [
"9/3=3",
"81-55=26",
"3*26=78"
] | Current State: 78:[9, 55, 3, 81], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [55, 81, 3]
Generated Node #2: [55, 81, 3] from Operation: 9/3=3
Current State: 78:[55, 81, 3], Operations: ['9/3=3']
Exploring Operation: 81-55=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 81-55=26
Current State: 78:[3, 26], Operations: ['9/3=3', '81-55=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
22,
83,
10,
2
] | 53 | [
"83-22=61",
"10-2=8",
"61-8=53"
] | Current State: 53:[22, 83, 10, 2], Operations: []
Exploring Operation: 83-22=61, Resulting Numbers: [10, 2, 61]
Generated Node #2: [10, 2, 61] from Operation: 83-22=61
Current State: 53:[10, 2, 61], Operations: ['83-22=61']
Exploring Operation: 10-2=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 10-2=8
Current State: 53:[61, 8], Operations: ['83-22=61', '10-2=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
24,
25,
7,
29
] | 21 | [
"25-24=1",
"29-7=22",
"22-1=21"
] | Current State: 21:[24, 25, 7, 29], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [7, 29, 1]
Generated Node #2: [7, 29, 1] from Operation: 25-24=1
Current State: 21:[7, 29, 1], Operations: ['25-24=1']
Exploring Operation: 29-7=22, Resulting Numbers: [1, 22]
Generated Node #3: [1, 22] from Operation: 29-7=22
Current State: 21:[1, 22], Operations: ['25-24=1', '29-7=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
2,
2,
95,
5
] | 99 | [
"2/2=1",
"95+5=100",
"100-1=99"
] | Current State: 99:[2, 2, 95, 5], Operations: []
Exploring Operation: 2/2=1, Resulting Numbers: [95, 5, 1]
Generated Node #2: [95, 5, 1] from Operation: 2/2=1
Current State: 99:[95, 5, 1], Operations: ['2/2=1']
Exploring Operation: 95+5=100, Resulting Numbers: [1, 100]
Generated Node #3: [1, 100] from Operation: 95+5=100
Current State: 99:[1, 100], Operations: ['2/2=1', '95+5=100']
Exploring Operation: 100-1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
20,
18,
42,
23
] | 19 | [
"20+18=38",
"42-23=19",
"38-19=19"
] | Current State: 19:[20, 18, 42, 23], Operations: []
Exploring Operation: 20+18=38, Resulting Numbers: [42, 23, 38]
Generated Node #2: [42, 23, 38] from Operation: 20+18=38
Current State: 19:[42, 23, 38], Operations: ['20+18=38']
Exploring Operation: 42-23=19, Resulting Numbers: [38, 19]
Generated Node #3: [38, 19] from Operation: 42-23=19
Current State: 19:[38, 19], Operations: ['20+18=38', '42-23=19']
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
51,
46,
90,
22
] | 73 | [
"51-46=5",
"90-22=68",
"5+68=73"
] | Current State: 73:[51, 46, 90, 22], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [90, 22, 5]
Generated Node #2: [90, 22, 5] from Operation: 51-46=5
Current State: 73:[90, 22, 5], Operations: ['51-46=5']
Exploring Operation: 90-22=68, Resulting Numbers: [5, 68]
Generated Node #3: [5, 68] from Operation: 90-22=68
Current State: 73:[5, 68], Operations: ['51-46=5', '90-22=68']
Exploring Operation: 5+68=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
15,
42,
82,
21
] | 88 | [
"42-15=27",
"82-21=61",
"27+61=88"
] | Current State: 88:[15, 42, 82, 21], Operations: []
Exploring Operation: 42-15=27, Resulting Numbers: [82, 21, 27]
Generated Node #2: [82, 21, 27] from Operation: 42-15=27
Current State: 88:[82, 21, 27], Operations: ['42-15=27']
Exploring Operation: 82-21=61, Resulting Numbers: [27, 61]
Generated Node #3: [27, 61] from Operation: 82-21=61
Current State: 88:[27, 61], Operations: ['42-15=27', '82-21=61']
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
13,
89,
94,
12
] | 91 | [
"94-89=5",
"12-5=7",
"13*7=91"
] | Current State: 91:[13, 89, 94, 12], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [13, 12, 5]
Generated Node #2: [13, 12, 5] from Operation: 94-89=5
Current State: 91:[13, 12, 5], Operations: ['94-89=5']
Exploring Operation: 12-5=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 12-5=7
Current State: 91:[13, 7], Operations: ['94-89=5', '12-5=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
69,
82,
70
] | 72 | [
"82-70=12",
"36/12=3",
"69+3=72"
] | Current State: 72:[36, 69, 82, 70], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [36, 69, 12]
Generated Node #2: [36, 69, 12] from Operation: 82-70=12
Current State: 72:[36, 69, 12], Operations: ['82-70=12']
Exploring Operation: 36/12=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 36/12=3
Current State: 72:[69, 3], Operations: ['82-70=12', '36/12=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
14,
20,
37,
92
] | 16 | [
"37-14=23",
"92/23=4",
"20-4=16"
] | Current State: 16:[14, 20, 37, 92], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [20, 92, 23]
Generated Node #2: [20, 92, 23] from Operation: 37-14=23
Current State: 16:[20, 92, 23], Operations: ['37-14=23']
Exploring Operation: 92/23=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 92/23=4
Current State: 16:[20, 4], Operations: ['37-14=23', '92/23=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
19,
28,
39,
84
] | 18 | [
"19*84=1596",
"1596/28=57",
"57-39=18"
] | Current State: 18:[19, 28, 39, 84], Operations: []
Exploring Operation: 19*84=1596, Resulting Numbers: [28, 39, 1596]
Generated Node #2: [28, 39, 1596] from Operation: 19*84=1596
Current State: 18:[28, 39, 1596], Operations: ['19*84=1596']
Exploring Operation: 1596/28=57, Resulting Numbers: [39, 57]
Generated Node #3: [39, 57] from Operation: 1596/28=57
Current State: 18:[39, 57], Operations: ['19*84=1596', '1596/28=57']
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
20,
60,
40,
17
] | 51 | [
"40-20=20",
"60*17=1020",
"1020/20=51"
] | Current State: 51:[20, 60, 40, 17], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [60, 17, 20]
Generated Node #2: [60, 17, 20] from Operation: 40-20=20
Current State: 51:[60, 17, 20], Operations: ['40-20=20']
Exploring Operation: 60*17=1020, Resulting Numbers: [20, 1020]
Generated Node #3: [20, 1020] from Operation: 60*17=1020
Current State: 51:[20, 1020], Operations: ['40-20=20', '60*17=1020']
Exploring Operation: 1020/20=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
10,
94,
5
] | 100 | [
"10-9=1",
"94+5=99",
"1+99=100"
] | Current State: 100:[9, 10, 94, 5], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [94, 5, 1]
Generated Node #2: [94, 5, 1] from Operation: 10-9=1
Current State: 100:[94, 5, 1], Operations: ['10-9=1']
Exploring Operation: 94+5=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 94+5=99
Current State: 100:[1, 99], Operations: ['10-9=1', '94+5=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
15,
22,
39,
3
] | 43 | [
"22-15=7",
"39-3=36",
"7+36=43"
] | Current State: 43:[15, 22, 39, 3], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [39, 3, 7]
Generated Node #2: [39, 3, 7] from Operation: 22-15=7
Current State: 43:[39, 3, 7], Operations: ['22-15=7']
Exploring Operation: 39-3=36, Resulting Numbers: [7, 36]
Generated Node #3: [7, 36] from Operation: 39-3=36
Current State: 43:[7, 36], Operations: ['22-15=7', '39-3=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
19,
6,
29
] | 31 | [
"19-11=8",
"29-6=23",
"8+23=31"
] | Current State: 31:[11, 19, 6, 29], Operations: []
Exploring Operation: 19-11=8, Resulting Numbers: [6, 29, 8]
Generated Node #2: [6, 29, 8] from Operation: 19-11=8
Current State: 31:[6, 29, 8], Operations: ['19-11=8']
Exploring Operation: 29-6=23, Resulting Numbers: [8, 23]
Generated Node #3: [8, 23] from Operation: 29-6=23
Current State: 31:[8, 23], Operations: ['19-11=8', '29-6=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
2,
31,
57,
13
] | 41 | [
"31-2=29",
"57+13=70",
"70-29=41"
] | Current State: 41:[2, 31, 57, 13], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [57, 13, 29]
Generated Node #2: [57, 13, 29] from Operation: 31-2=29
Current State: 41:[57, 13, 29], Operations: ['31-2=29']
Exploring Operation: 57+13=70, Resulting Numbers: [29, 70]
Generated Node #3: [29, 70] from Operation: 57+13=70
Current State: 41:[29, 70], Operations: ['31-2=29', '57+13=70']
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
1,
44,
26,
67
] | 49 | [
"1*44=44",
"26+67=93",
"93-44=49"
] | Current State: 49:[1, 44, 26, 67], Operations: []
Exploring Operation: 1*44=44, Resulting Numbers: [26, 67, 44]
Generated Node #2: [26, 67, 44] from Operation: 1*44=44
Current State: 49:[26, 67, 44], Operations: ['1*44=44']
Exploring Operation: 26+67=93, Resulting Numbers: [44, 93]
Generated Node #3: [44, 93] from Operation: 26+67=93
Current State: 49:[44, 93], Operations: ['1*44=44', '26+67=93']
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
34,
31,
31,
27
] | 34 | [
"31-31=0",
"27*0=0",
"34+0=34"
] | Current State: 34:[34, 31, 31, 27], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [34, 27, 0]
Generated Node #2: [34, 27, 0] from Operation: 31-31=0
Current State: 34:[34, 27, 0], Operations: ['31-31=0']
Exploring Operation: 27*0=0, Resulting Numbers: [34, 0]
Generated Node #3: [34, 0] from Operation: 27*0=0
Current State: 34:[34, 0], Operations: ['31-31=0', '27*0=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
11,
2,
65,
25
] | 18 | [
"11*2=22",
"65-25=40",
"40-22=18"
] | Current State: 18:[11, 2, 65, 25], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [65, 25, 22]
Generated Node #2: [65, 25, 22] from Operation: 11*2=22
Current State: 18:[65, 25, 22], Operations: ['11*2=22']
Exploring Operation: 65-25=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 65-25=40
Current State: 18:[22, 40], Operations: ['11*2=22', '65-25=40']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
1,
76,
16,
60
] | 80 | [
"16-1=15",
"60/15=4",
"76+4=80"
] | Current State: 80:[1, 76, 16, 60], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [76, 60, 15]
Generated Node #2: [76, 60, 15] from Operation: 16-1=15
Current State: 80:[76, 60, 15], Operations: ['16-1=15']
Exploring Operation: 60/15=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 60/15=4
Current State: 80:[76, 4], Operations: ['16-1=15', '60/15=4']
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
22,
32,
14,
58
] | 82 | [
"32-22=10",
"14+58=72",
"10+72=82"
] | Current State: 82:[22, 32, 14, 58], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [14, 58, 10]
Generated Node #2: [14, 58, 10] from Operation: 32-22=10
Current State: 82:[14, 58, 10], Operations: ['32-22=10']
Exploring Operation: 14+58=72, Resulting Numbers: [10, 72]
Generated Node #3: [10, 72] from Operation: 14+58=72
Current State: 82:[10, 72], Operations: ['32-22=10', '14+58=72']
Exploring Operation: 10+72=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
19,
90,
68,
59
] | 29 | [
"68-59=9",
"90/9=10",
"19+10=29"
] | Current State: 29:[19, 90, 68, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [19, 90, 9]
Generated Node #2: [19, 90, 9] from Operation: 68-59=9
Current State: 29:[19, 90, 9], Operations: ['68-59=9']
Exploring Operation: 90/9=10, Resulting Numbers: [19, 10]
Generated Node #3: [19, 10] from Operation: 90/9=10
Current State: 29:[19, 10], Operations: ['68-59=9', '90/9=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
64,
39,
3,
62
] | 33 | [
"64-62=2",
"3*2=6",
"39-6=33"
] | Current State: 33:[64, 39, 3, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [39, 3, 2]
Generated Node #2: [39, 3, 2] from Operation: 64-62=2
Current State: 33:[39, 3, 2], Operations: ['64-62=2']
Exploring Operation: 3*2=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 3*2=6
Current State: 33:[39, 6], Operations: ['64-62=2', '3*2=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
81,
37,
80,
42
] | 93 | [
"80*42=3360",
"81+3360=3441",
"3441/37=93"
] | Current State: 93:[81, 37, 80, 42], Operations: []
Exploring Operation: 80*42=3360, Resulting Numbers: [81, 37, 3360]
Generated Node #2: [81, 37, 3360] from Operation: 80*42=3360
Current State: 93:[81, 37, 3360], Operations: ['80*42=3360']
Exploring Operation: 81+3360=3441, Resulting Numbers: [37, 3441]
Generated Node #3: [37, 3441] from Operation: 81+3360=3441
Current State: 93:[37, 3441], Operations: ['80*42=3360', '81+3360=3441']
Exploring Operation: 3441/37=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
20,
75,
40,
74
] | 59 | [
"75-20=55",
"40+74=114",
"114-55=59"
] | Current State: 59:[20, 75, 40, 74], Operations: []
Exploring Operation: 75-20=55, Resulting Numbers: [40, 74, 55]
Generated Node #2: [40, 74, 55] from Operation: 75-20=55
Current State: 59:[40, 74, 55], Operations: ['75-20=55']
Exploring Operation: 40+74=114, Resulting Numbers: [55, 114]
Generated Node #3: [55, 114] from Operation: 40+74=114
Current State: 59:[55, 114], Operations: ['75-20=55', '40+74=114']
Exploring Operation: 114-55=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
10,
23,
62,
65
] | 16 | [
"23-10=13",
"65-62=3",
"13+3=16"
] | Current State: 16:[10, 23, 62, 65], Operations: []
Exploring Operation: 23-10=13, Resulting Numbers: [62, 65, 13]
Generated Node #2: [62, 65, 13] from Operation: 23-10=13
Current State: 16:[62, 65, 13], Operations: ['23-10=13']
Exploring Operation: 65-62=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 65-62=3
Current State: 16:[13, 3], Operations: ['23-10=13', '65-62=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
22,
28,
56,
64
] | 58 | [
"22+28=50",
"64-56=8",
"50+8=58"
] | Current State: 58:[22, 28, 56, 64], Operations: []
Exploring Operation: 22+28=50, Resulting Numbers: [56, 64, 50]
Generated Node #2: [56, 64, 50] from Operation: 22+28=50
Current State: 58:[56, 64, 50], Operations: ['22+28=50']
Exploring Operation: 64-56=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 64-56=8
Current State: 58:[50, 8], Operations: ['22+28=50', '64-56=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
62,
53,
32,
96
] | 73 | [
"62-53=9",
"96-32=64",
"9+64=73"
] | Current State: 73:[62, 53, 32, 96], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [32, 96, 9]
Generated Node #2: [32, 96, 9] from Operation: 62-53=9
Current State: 73:[32, 96, 9], Operations: ['62-53=9']
Exploring Operation: 96-32=64, Resulting Numbers: [9, 64]
Generated Node #3: [9, 64] from Operation: 96-32=64
Current State: 73:[9, 64], Operations: ['62-53=9', '96-32=64']
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
17,
36,
40,
4
] | 63 | [
"17+36=53",
"40/4=10",
"53+10=63"
] | Current State: 63:[17, 36, 40, 4], Operations: []
Exploring Operation: 17+36=53, Resulting Numbers: [40, 4, 53]
Generated Node #2: [40, 4, 53] from Operation: 17+36=53
Current State: 63:[40, 4, 53], Operations: ['17+36=53']
Exploring Operation: 40/4=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 40/4=10
Current State: 63:[53, 10], Operations: ['17+36=53', '40/4=10']
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
68,
58,
84,
39
] | 35 | [
"68-58=10",
"84-39=45",
"45-10=35"
] | Current State: 35:[68, 58, 84, 39], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [84, 39, 10]
Generated Node #2: [84, 39, 10] from Operation: 68-58=10
Current State: 35:[84, 39, 10], Operations: ['68-58=10']
Exploring Operation: 84-39=45, Resulting Numbers: [10, 45]
Generated Node #3: [10, 45] from Operation: 84-39=45
Current State: 35:[10, 45], Operations: ['68-58=10', '84-39=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
16,
35,
32,
27
] | 23 | [
"32-27=5",
"35/5=7",
"16+7=23"
] | Current State: 23:[16, 35, 32, 27], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [16, 35, 5]
Generated Node #2: [16, 35, 5] from Operation: 32-27=5
Current State: 23:[16, 35, 5], Operations: ['32-27=5']
Exploring Operation: 35/5=7, Resulting Numbers: [16, 7]
Generated Node #3: [16, 7] from Operation: 35/5=7
Current State: 23:[16, 7], Operations: ['32-27=5', '35/5=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
36,
69,
66,
99
] | 69 | [
"69-36=33",
"99/33=3",
"66+3=69"
] | Current State: 69:[36, 69, 66, 99], Operations: []
Exploring Operation: 69-36=33, Resulting Numbers: [66, 99, 33]
Generated Node #2: [66, 99, 33] from Operation: 69-36=33
Current State: 69:[66, 99, 33], Operations: ['69-36=33']
Exploring Operation: 99/33=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 99/33=3
Current State: 69:[66, 3], Operations: ['69-36=33', '99/33=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
72,
2,
33,
28
] | 90 | [
"2+33=35",
"72*35=2520",
"2520/28=90"
] | Current State: 90:[72, 2, 33, 28], Operations: []
Exploring Operation: 2+33=35, Resulting Numbers: [72, 28, 35]
Generated Node #2: [72, 28, 35] from Operation: 2+33=35
Current State: 90:[72, 28, 35], Operations: ['2+33=35']
Exploring Operation: 72*35=2520, Resulting Numbers: [28, 2520]
Generated Node #3: [28, 2520] from Operation: 72*35=2520
Current State: 90:[28, 2520], Operations: ['2+33=35', '72*35=2520']
Exploring Operation: 2520/28=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
8,
43,
15,
8
] | 43 | [
"15-8=7",
"8-7=1",
"43*1=43"
] | Current State: 43:[8, 43, 15, 8], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [43, 7]
Generated Node #2: [43, 7] from Operation: 15-8=7
Current State: 43:[43, 7], Operations: ['15-8=7']
Exploring Operation: 8-7=1, Resulting Numbers: [43, 1]
Generated Node #3: [43, 1] from Operation: 8-7=1
Current State: 43:[43, 1], Operations: ['15-8=7', '8-7=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
92,
19,
78,
2
] | 83 | [
"92-19=73",
"78*2=156",
"156-73=83"
] | Current State: 83:[92, 19, 78, 2], Operations: []
Exploring Operation: 92-19=73, Resulting Numbers: [78, 2, 73]
Generated Node #2: [78, 2, 73] from Operation: 92-19=73
Current State: 83:[78, 2, 73], Operations: ['92-19=73']
Exploring Operation: 78*2=156, Resulting Numbers: [73, 156]
Generated Node #3: [73, 156] from Operation: 78*2=156
Current State: 83:[73, 156], Operations: ['92-19=73', '78*2=156']
Exploring Operation: 156-73=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
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