nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
85,
87,
2,
50
] | 72 | [
"85+87=172",
"2*50=100",
"172-100=72"
] | Current State: 72:[85, 87, 2, 50], Operations: []
Exploring Operation: 85+87=172, Resulting Numbers: [2, 50, 172]
Generated Node #2: [2, 50, 172] from Operation: 85+87=172
Current State: 72:[2, 50, 172], Operations: ['85+87=172']
Exploring Operation: 2*50=100, Resulting Numbers: [172, 100]
Generated Node #3: [172, 100] from Operation: 2*50=100
Current State: 72:[172, 100], Operations: ['85+87=172', '2*50=100']
Exploring Operation: 172-100=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
72,
4,
38
] | 100 | [
"45-38=7",
"4*7=28",
"72+28=100"
] | Current State: 100:[45, 72, 4, 38], Operations: []
Exploring Operation: 45-38=7, Resulting Numbers: [72, 4, 7]
Generated Node #2: [72, 4, 7] from Operation: 45-38=7
Current State: 100:[72, 4, 7], Operations: ['45-38=7']
Exploring Operation: 4*7=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 4*7=28
Current State: 100:[72, 28], Operations: ['45-38=7', '4*7=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
18,
91,
3,
97
] | 15 | [
"18+91=109",
"97-3=94",
"109-94=15"
] | Current State: 15:[18, 91, 3, 97], Operations: []
Exploring Operation: 18+91=109, Resulting Numbers: [3, 97, 109]
Generated Node #2: [3, 97, 109] from Operation: 18+91=109
Current State: 15:[3, 97, 109], Operations: ['18+91=109']
Exploring Operation: 97-3=94, Resulting Numbers: [109, 94]
Generated Node #3: [109, 94] from Operation: 97-3=94
Current State: 15:[109, 94], Operations: ['18+91=109', '97-3=94']
Exploring Operation: 109-94=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
68,
70,
46,
71
] | 72 | [
"71-68=3",
"70-46=24",
"3*24=72"
] | Current State: 72:[68, 70, 46, 71], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [70, 46, 3]
Generated Node #2: [70, 46, 3] from Operation: 71-68=3
Current State: 72:[70, 46, 3], Operations: ['71-68=3']
Exploring Operation: 70-46=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 70-46=24
Current State: 72:[3, 24], Operations: ['71-68=3', '70-46=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
60,
8,
36,
30
] | 88 | [
"60/30=2",
"8+36=44",
"2*44=88"
] | Current State: 88:[60, 8, 36, 30], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [8, 36, 2]
Generated Node #2: [8, 36, 2] from Operation: 60/30=2
Current State: 88:[8, 36, 2], Operations: ['60/30=2']
Exploring Operation: 8+36=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 8+36=44
Current State: 88:[2, 44], Operations: ['60/30=2', '8+36=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
19,
63,
52,
63
] | 93 | [
"19+63=82",
"63-52=11",
"82+11=93"
] | Current State: 93:[19, 63, 52, 63], Operations: []
Exploring Operation: 19+63=82, Resulting Numbers: [52, 82]
Generated Node #2: [52, 82] from Operation: 19+63=82
Current State: 93:[52, 82], Operations: ['19+63=82']
Exploring Operation: 63-52=11, Resulting Numbers: [82, 11]
Generated Node #3: [82, 11] from Operation: 63-52=11
Current State: 93:[82, 11], Operations: ['19+63=82', '63-52=11']
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
99,
6,
65
] | 80 | [
"99-9=90",
"90/6=15",
"65+15=80"
] | Current State: 80:[9, 99, 6, 65], Operations: []
Exploring Operation: 99-9=90, Resulting Numbers: [6, 65, 90]
Generated Node #2: [6, 65, 90] from Operation: 99-9=90
Current State: 80:[6, 65, 90], Operations: ['99-9=90']
Exploring Operation: 90/6=15, Resulting Numbers: [65, 15]
Generated Node #3: [65, 15] from Operation: 90/6=15
Current State: 80:[65, 15], Operations: ['99-9=90', '90/6=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
45,
42,
74,
31
] | 35 | [
"45-42=3",
"74+31=105",
"105/3=35"
] | Current State: 35:[45, 42, 74, 31], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [74, 31, 3]
Generated Node #2: [74, 31, 3] from Operation: 45-42=3
Current State: 35:[74, 31, 3], Operations: ['45-42=3']
Exploring Operation: 74+31=105, Resulting Numbers: [3, 105]
Generated Node #3: [3, 105] from Operation: 74+31=105
Current State: 35:[3, 105], Operations: ['45-42=3', '74+31=105']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
14,
8,
40,
58
] | 76 | [
"14+8=22",
"40+58=98",
"98-22=76"
] | Current State: 76:[14, 8, 40, 58], Operations: []
Exploring Operation: 14+8=22, Resulting Numbers: [40, 58, 22]
Generated Node #2: [40, 58, 22] from Operation: 14+8=22
Current State: 76:[40, 58, 22], Operations: ['14+8=22']
Exploring Operation: 40+58=98, Resulting Numbers: [22, 98]
Generated Node #3: [22, 98] from Operation: 40+58=98
Current State: 76:[22, 98], Operations: ['14+8=22', '40+58=98']
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
87,
37,
14,
43
] | 34 | [
"43-14=29",
"87/29=3",
"37-3=34"
] | Current State: 34:[87, 37, 14, 43], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [87, 37, 29]
Generated Node #2: [87, 37, 29] from Operation: 43-14=29
Current State: 34:[87, 37, 29], Operations: ['43-14=29']
Exploring Operation: 87/29=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 87/29=3
Current State: 34:[37, 3], Operations: ['43-14=29', '87/29=3']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
81,
6,
45,
33
] | 68 | [
"45+33=78",
"78/6=13",
"81-13=68"
] | Current State: 68:[81, 6, 45, 33], Operations: []
Exploring Operation: 45+33=78, Resulting Numbers: [81, 6, 78]
Generated Node #2: [81, 6, 78] from Operation: 45+33=78
Current State: 68:[81, 6, 78], Operations: ['45+33=78']
Exploring Operation: 78/6=13, Resulting Numbers: [81, 13]
Generated Node #3: [81, 13] from Operation: 78/6=13
Current State: 68:[81, 13], Operations: ['45+33=78', '78/6=13']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
85,
14,
49
] | 47 | [
"85-3=82",
"49-14=35",
"82-35=47"
] | Current State: 47:[3, 85, 14, 49], Operations: []
Exploring Operation: 85-3=82, Resulting Numbers: [14, 49, 82]
Generated Node #2: [14, 49, 82] from Operation: 85-3=82
Current State: 47:[14, 49, 82], Operations: ['85-3=82']
Exploring Operation: 49-14=35, Resulting Numbers: [82, 35]
Generated Node #3: [82, 35] from Operation: 49-14=35
Current State: 47:[82, 35], Operations: ['85-3=82', '49-14=35']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
72,
62,
89,
74
] | 83 | [
"74-62=12",
"72/12=6",
"89-6=83"
] | Current State: 83:[72, 62, 89, 74], Operations: []
Exploring Operation: 74-62=12, Resulting Numbers: [72, 89, 12]
Generated Node #2: [72, 89, 12] from Operation: 74-62=12
Current State: 83:[72, 89, 12], Operations: ['74-62=12']
Exploring Operation: 72/12=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 72/12=6
Current State: 83:[89, 6], Operations: ['74-62=12', '72/12=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
25,
86,
30,
28
] | 53 | [
"25+86=111",
"30+28=58",
"111-58=53"
] | Current State: 53:[25, 86, 30, 28], Operations: []
Exploring Operation: 25+86=111, Resulting Numbers: [30, 28, 111]
Generated Node #2: [30, 28, 111] from Operation: 25+86=111
Current State: 53:[30, 28, 111], Operations: ['25+86=111']
Exploring Operation: 30+28=58, Resulting Numbers: [111, 58]
Generated Node #3: [111, 58] from Operation: 30+28=58
Current State: 53:[111, 58], Operations: ['25+86=111', '30+28=58']
Exploring Operation: 111-58=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
43,
63,
2,
15
] | 66 | [
"43+2=45",
"45/15=3",
"63+3=66"
] | Current State: 66:[43, 63, 2, 15], Operations: []
Exploring Operation: 43+2=45, Resulting Numbers: [63, 15, 45]
Generated Node #2: [63, 15, 45] from Operation: 43+2=45
Current State: 66:[63, 15, 45], Operations: ['43+2=45']
Exploring Operation: 45/15=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 45/15=3
Current State: 66:[63, 3], Operations: ['43+2=45', '45/15=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
66,
51,
99,
6
] | 40 | [
"66*51=3366",
"3366/99=34",
"6+34=40"
] | Current State: 40:[66, 51, 99, 6], Operations: []
Exploring Operation: 66*51=3366, Resulting Numbers: [99, 6, 3366]
Generated Node #2: [99, 6, 3366] from Operation: 66*51=3366
Current State: 40:[99, 6, 3366], Operations: ['66*51=3366']
Exploring Operation: 3366/99=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 3366/99=34
Current State: 40:[6, 34], Operations: ['66*51=3366', '3366/99=34']
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
40,
6,
3,
78
] | 41 | [
"40-6=34",
"78-3=75",
"75-34=41"
] | Current State: 41:[40, 6, 3, 78], Operations: []
Exploring Operation: 40-6=34, Resulting Numbers: [3, 78, 34]
Generated Node #2: [3, 78, 34] from Operation: 40-6=34
Current State: 41:[3, 78, 34], Operations: ['40-6=34']
Exploring Operation: 78-3=75, Resulting Numbers: [34, 75]
Generated Node #3: [34, 75] from Operation: 78-3=75
Current State: 41:[34, 75], Operations: ['40-6=34', '78-3=75']
Exploring Operation: 75-34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
16,
73,
81,
84
] | 82 | [
"81-73=8",
"16/8=2",
"84-2=82"
] | Current State: 82:[16, 73, 81, 84], Operations: []
Exploring Operation: 81-73=8, Resulting Numbers: [16, 84, 8]
Generated Node #2: [16, 84, 8] from Operation: 81-73=8
Current State: 82:[16, 84, 8], Operations: ['81-73=8']
Exploring Operation: 16/8=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 16/8=2
Current State: 82:[84, 2], Operations: ['81-73=8', '16/8=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
36,
35,
62,
8
] | 38 | [
"62+8=70",
"70/35=2",
"36+2=38"
] | Current State: 38:[36, 35, 62, 8], Operations: []
Exploring Operation: 62+8=70, Resulting Numbers: [36, 35, 70]
Generated Node #2: [36, 35, 70] from Operation: 62+8=70
Current State: 38:[36, 35, 70], Operations: ['62+8=70']
Exploring Operation: 70/35=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 70/35=2
Current State: 38:[36, 2], Operations: ['62+8=70', '70/35=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
62,
22,
15,
66
] | 57 | [
"22*15=330",
"330/66=5",
"62-5=57"
] | Current State: 57:[62, 22, 15, 66], Operations: []
Exploring Operation: 22*15=330, Resulting Numbers: [62, 66, 330]
Generated Node #2: [62, 66, 330] from Operation: 22*15=330
Current State: 57:[62, 66, 330], Operations: ['22*15=330']
Exploring Operation: 330/66=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 330/66=5
Current State: 57:[62, 5], Operations: ['22*15=330', '330/66=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
61,
46,
24,
2
] | 52 | [
"61*2=122",
"46+24=70",
"122-70=52"
] | Current State: 52:[61, 46, 24, 2], Operations: []
Exploring Operation: 61*2=122, Resulting Numbers: [46, 24, 122]
Generated Node #2: [46, 24, 122] from Operation: 61*2=122
Current State: 52:[46, 24, 122], Operations: ['61*2=122']
Exploring Operation: 46+24=70, Resulting Numbers: [122, 70]
Generated Node #3: [122, 70] from Operation: 46+24=70
Current State: 52:[122, 70], Operations: ['61*2=122', '46+24=70']
Exploring Operation: 122-70=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
92,
3,
33,
41
] | 69 | [
"92*33=3036",
"3+41=44",
"3036/44=69"
] | Current State: 69:[92, 3, 33, 41], Operations: []
Exploring Operation: 92*33=3036, Resulting Numbers: [3, 41, 3036]
Generated Node #2: [3, 41, 3036] from Operation: 92*33=3036
Current State: 69:[3, 41, 3036], Operations: ['92*33=3036']
Exploring Operation: 3+41=44, Resulting Numbers: [3036, 44]
Generated Node #3: [3036, 44] from Operation: 3+41=44
Current State: 69:[3036, 44], Operations: ['92*33=3036', '3+41=44']
Exploring Operation: 3036/44=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
66,
74,
8,
2
] | 50 | [
"66*2=132",
"74+8=82",
"132-82=50"
] | Current State: 50:[66, 74, 8, 2], Operations: []
Exploring Operation: 66*2=132, Resulting Numbers: [74, 8, 132]
Generated Node #2: [74, 8, 132] from Operation: 66*2=132
Current State: 50:[74, 8, 132], Operations: ['66*2=132']
Exploring Operation: 74+8=82, Resulting Numbers: [132, 82]
Generated Node #3: [132, 82] from Operation: 74+8=82
Current State: 50:[132, 82], Operations: ['66*2=132', '74+8=82']
Exploring Operation: 132-82=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
21,
79,
68,
96
] | 86 | [
"79-21=58",
"96-68=28",
"58+28=86"
] | Current State: 86:[21, 79, 68, 96], Operations: []
Exploring Operation: 79-21=58, Resulting Numbers: [68, 96, 58]
Generated Node #2: [68, 96, 58] from Operation: 79-21=58
Current State: 86:[68, 96, 58], Operations: ['79-21=58']
Exploring Operation: 96-68=28, Resulting Numbers: [58, 28]
Generated Node #3: [58, 28] from Operation: 96-68=28
Current State: 86:[58, 28], Operations: ['79-21=58', '96-68=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
30,
84,
9,
11
] | 87 | [
"30-11=19",
"9*19=171",
"171-84=87"
] | Current State: 87:[30, 84, 9, 11], Operations: []
Exploring Operation: 30-11=19, Resulting Numbers: [84, 9, 19]
Generated Node #2: [84, 9, 19] from Operation: 30-11=19
Current State: 87:[84, 9, 19], Operations: ['30-11=19']
Exploring Operation: 9*19=171, Resulting Numbers: [84, 171]
Generated Node #3: [84, 171] from Operation: 9*19=171
Current State: 87:[84, 171], Operations: ['30-11=19', '9*19=171']
Exploring Operation: 171-84=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
47,
77,
30,
91
] | 63 | [
"47+77=124",
"91-30=61",
"124-61=63"
] | Current State: 63:[47, 77, 30, 91], Operations: []
Exploring Operation: 47+77=124, Resulting Numbers: [30, 91, 124]
Generated Node #2: [30, 91, 124] from Operation: 47+77=124
Current State: 63:[30, 91, 124], Operations: ['47+77=124']
Exploring Operation: 91-30=61, Resulting Numbers: [124, 61]
Generated Node #3: [124, 61] from Operation: 91-30=61
Current State: 63:[124, 61], Operations: ['47+77=124', '91-30=61']
Exploring Operation: 124-61=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
28,
54,
33,
27
] | 89 | [
"28*54=1512",
"1512/27=56",
"33+56=89"
] | Current State: 89:[28, 54, 33, 27], Operations: []
Exploring Operation: 28*54=1512, Resulting Numbers: [33, 27, 1512]
Generated Node #2: [33, 27, 1512] from Operation: 28*54=1512
Current State: 89:[33, 27, 1512], Operations: ['28*54=1512']
Exploring Operation: 1512/27=56, Resulting Numbers: [33, 56]
Generated Node #3: [33, 56] from Operation: 1512/27=56
Current State: 89:[33, 56], Operations: ['28*54=1512', '1512/27=56']
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
92,
4,
73,
79
] | 94 | [
"92-4=88",
"79-73=6",
"88+6=94"
] | Current State: 94:[92, 4, 73, 79], Operations: []
Exploring Operation: 92-4=88, Resulting Numbers: [73, 79, 88]
Generated Node #2: [73, 79, 88] from Operation: 92-4=88
Current State: 94:[73, 79, 88], Operations: ['92-4=88']
Exploring Operation: 79-73=6, Resulting Numbers: [88, 6]
Generated Node #3: [88, 6] from Operation: 79-73=6
Current State: 94:[88, 6], Operations: ['92-4=88', '79-73=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
38,
38,
5,
18
] | 13 | [
"38-38=0",
"18-5=13",
"0+13=13"
] | Current State: 13:[38, 38, 5, 18], Operations: []
Exploring Operation: 38-38=0, Resulting Numbers: [5, 18, 0]
Generated Node #2: [5, 18, 0] from Operation: 38-38=0
Current State: 13:[5, 18, 0], Operations: ['38-38=0']
Exploring Operation: 18-5=13, Resulting Numbers: [0, 13]
Generated Node #3: [0, 13] from Operation: 18-5=13
Current State: 13:[0, 13], Operations: ['38-38=0', '18-5=13']
Exploring Operation: 0+13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
21,
93,
26,
8
] | 31 | [
"26-21=5",
"8-5=3",
"93/3=31"
] | Current State: 31:[21, 93, 26, 8], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [93, 8, 5]
Generated Node #2: [93, 8, 5] from Operation: 26-21=5
Current State: 31:[93, 8, 5], Operations: ['26-21=5']
Exploring Operation: 8-5=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 8-5=3
Current State: 31:[93, 3], Operations: ['26-21=5', '8-5=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
73,
5,
91
] | 93 | [
"83-73=10",
"10/5=2",
"91+2=93"
] | Current State: 93:[83, 73, 5, 91], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [5, 91, 10]
Generated Node #2: [5, 91, 10] from Operation: 83-73=10
Current State: 93:[5, 91, 10], Operations: ['83-73=10']
Exploring Operation: 10/5=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 10/5=2
Current State: 93:[91, 2], Operations: ['83-73=10', '10/5=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
19,
76,
64,
27
] | 87 | [
"76/19=4",
"64+27=91",
"91-4=87"
] | Current State: 87:[19, 76, 64, 27], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [64, 27, 4]
Generated Node #2: [64, 27, 4] from Operation: 76/19=4
Current State: 87:[64, 27, 4], Operations: ['76/19=4']
Exploring Operation: 64+27=91, Resulting Numbers: [4, 91]
Generated Node #3: [4, 91] from Operation: 64+27=91
Current State: 87:[4, 91], Operations: ['76/19=4', '64+27=91']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
30,
31,
32,
78
] | 70 | [
"32-30=2",
"78/2=39",
"31+39=70"
] | Current State: 70:[30, 31, 32, 78], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [31, 78, 2]
Generated Node #2: [31, 78, 2] from Operation: 32-30=2
Current State: 70:[31, 78, 2], Operations: ['32-30=2']
Exploring Operation: 78/2=39, Resulting Numbers: [31, 39]
Generated Node #3: [31, 39] from Operation: 78/2=39
Current State: 70:[31, 39], Operations: ['32-30=2', '78/2=39']
Exploring Operation: 31+39=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
12,
89,
79,
62
] | 94 | [
"89-12=77",
"79-62=17",
"77+17=94"
] | Current State: 94:[12, 89, 79, 62], Operations: []
Exploring Operation: 89-12=77, Resulting Numbers: [79, 62, 77]
Generated Node #2: [79, 62, 77] from Operation: 89-12=77
Current State: 94:[79, 62, 77], Operations: ['89-12=77']
Exploring Operation: 79-62=17, Resulting Numbers: [77, 17]
Generated Node #3: [77, 17] from Operation: 79-62=17
Current State: 94:[77, 17], Operations: ['89-12=77', '79-62=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
94,
96,
74,
47
] | 24 | [
"94/47=2",
"96-74=22",
"2+22=24"
] | Current State: 24:[94, 96, 74, 47], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [96, 74, 2]
Generated Node #2: [96, 74, 2] from Operation: 94/47=2
Current State: 24:[96, 74, 2], Operations: ['94/47=2']
Exploring Operation: 96-74=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 96-74=22
Current State: 24:[2, 22], Operations: ['94/47=2', '96-74=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
2,
13,
71
] | 94 | [
"8+2=10",
"13+71=84",
"10+84=94"
] | Current State: 94:[8, 2, 13, 71], Operations: []
Exploring Operation: 8+2=10, Resulting Numbers: [13, 71, 10]
Generated Node #2: [13, 71, 10] from Operation: 8+2=10
Current State: 94:[13, 71, 10], Operations: ['8+2=10']
Exploring Operation: 13+71=84, Resulting Numbers: [10, 84]
Generated Node #3: [10, 84] from Operation: 13+71=84
Current State: 94:[10, 84], Operations: ['8+2=10', '13+71=84']
Exploring Operation: 10+84=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
35,
23,
5,
65
] | 12 | [
"35+23=58",
"5+65=70",
"70-58=12"
] | Current State: 12:[35, 23, 5, 65], Operations: []
Exploring Operation: 35+23=58, Resulting Numbers: [5, 65, 58]
Generated Node #2: [5, 65, 58] from Operation: 35+23=58
Current State: 12:[5, 65, 58], Operations: ['35+23=58']
Exploring Operation: 5+65=70, Resulting Numbers: [58, 70]
Generated Node #3: [58, 70] from Operation: 5+65=70
Current State: 12:[58, 70], Operations: ['35+23=58', '5+65=70']
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
23,
68,
19,
24
] | 62 | [
"23-19=4",
"24/4=6",
"68-6=62"
] | Current State: 62:[23, 68, 19, 24], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [68, 24, 4]
Generated Node #2: [68, 24, 4] from Operation: 23-19=4
Current State: 62:[68, 24, 4], Operations: ['23-19=4']
Exploring Operation: 24/4=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 24/4=6
Current State: 62:[68, 6], Operations: ['23-19=4', '24/4=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
61,
69,
17,
48
] | 65 | [
"61+69=130",
"17+48=65",
"130-65=65"
] | Current State: 65:[61, 69, 17, 48], Operations: []
Exploring Operation: 61+69=130, Resulting Numbers: [17, 48, 130]
Generated Node #2: [17, 48, 130] from Operation: 61+69=130
Current State: 65:[17, 48, 130], Operations: ['61+69=130']
Exploring Operation: 17+48=65, Resulting Numbers: [130, 65]
Generated Node #3: [130, 65] from Operation: 17+48=65
Current State: 65:[130, 65], Operations: ['61+69=130', '17+48=65']
Exploring Operation: 130-65=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
41,
65,
82,
75
] | 85 | [
"82/41=2",
"75*2=150",
"150-65=85"
] | Current State: 85:[41, 65, 82, 75], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [65, 75, 2]
Generated Node #2: [65, 75, 2] from Operation: 82/41=2
Current State: 85:[65, 75, 2], Operations: ['82/41=2']
Exploring Operation: 75*2=150, Resulting Numbers: [65, 150]
Generated Node #3: [65, 150] from Operation: 75*2=150
Current State: 85:[65, 150], Operations: ['82/41=2', '75*2=150']
Exploring Operation: 150-65=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
77,
43,
19,
4
] | 19 | [
"77-43=34",
"19-4=15",
"34-15=19"
] | Current State: 19:[77, 43, 19, 4], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [19, 4, 34]
Generated Node #2: [19, 4, 34] from Operation: 77-43=34
Current State: 19:[19, 4, 34], Operations: ['77-43=34']
Exploring Operation: 19-4=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 19-4=15
Current State: 19:[34, 15], Operations: ['77-43=34', '19-4=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
34,
61,
53,
87
] | 61 | [
"34+61=95",
"87-53=34",
"95-34=61"
] | Current State: 61:[34, 61, 53, 87], Operations: []
Exploring Operation: 34+61=95, Resulting Numbers: [53, 87, 95]
Generated Node #2: [53, 87, 95] from Operation: 34+61=95
Current State: 61:[53, 87, 95], Operations: ['34+61=95']
Exploring Operation: 87-53=34, Resulting Numbers: [95, 34]
Generated Node #3: [95, 34] from Operation: 87-53=34
Current State: 61:[95, 34], Operations: ['34+61=95', '87-53=34']
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
49,
52,
78,
80
] | 71 | [
"78*80=6240",
"6240/52=120",
"120-49=71"
] | Current State: 71:[49, 52, 78, 80], Operations: []
Exploring Operation: 78*80=6240, Resulting Numbers: [49, 52, 6240]
Generated Node #2: [49, 52, 6240] from Operation: 78*80=6240
Current State: 71:[49, 52, 6240], Operations: ['78*80=6240']
Exploring Operation: 6240/52=120, Resulting Numbers: [49, 120]
Generated Node #3: [49, 120] from Operation: 6240/52=120
Current State: 71:[49, 120], Operations: ['78*80=6240', '6240/52=120']
Exploring Operation: 120-49=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
38,
57,
6,
76
] | 45 | [
"76/38=2",
"6*2=12",
"57-12=45"
] | Current State: 45:[38, 57, 6, 76], Operations: []
Exploring Operation: 76/38=2, Resulting Numbers: [57, 6, 2]
Generated Node #2: [57, 6, 2] from Operation: 76/38=2
Current State: 45:[57, 6, 2], Operations: ['76/38=2']
Exploring Operation: 6*2=12, Resulting Numbers: [57, 12]
Generated Node #3: [57, 12] from Operation: 6*2=12
Current State: 45:[57, 12], Operations: ['76/38=2', '6*2=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
95,
74,
66,
93
] | 29 | [
"95-93=2",
"74/2=37",
"66-37=29"
] | Current State: 29:[95, 74, 66, 93], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [74, 66, 2]
Generated Node #2: [74, 66, 2] from Operation: 95-93=2
Current State: 29:[74, 66, 2], Operations: ['95-93=2']
Exploring Operation: 74/2=37, Resulting Numbers: [66, 37]
Generated Node #3: [66, 37] from Operation: 74/2=37
Current State: 29:[66, 37], Operations: ['95-93=2', '74/2=37']
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
89,
26,
28,
5
] | 13 | [
"89+28=117",
"26*5=130",
"130-117=13"
] | Current State: 13:[89, 26, 28, 5], Operations: []
Exploring Operation: 89+28=117, Resulting Numbers: [26, 5, 117]
Generated Node #2: [26, 5, 117] from Operation: 89+28=117
Current State: 13:[26, 5, 117], Operations: ['89+28=117']
Exploring Operation: 26*5=130, Resulting Numbers: [117, 130]
Generated Node #3: [117, 130] from Operation: 26*5=130
Current State: 13:[117, 130], Operations: ['89+28=117', '26*5=130']
Exploring Operation: 130-117=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
29,
52,
45,
42
] | 35 | [
"52-45=7",
"42/7=6",
"29+6=35"
] | Current State: 35:[29, 52, 45, 42], Operations: []
Exploring Operation: 52-45=7, Resulting Numbers: [29, 42, 7]
Generated Node #2: [29, 42, 7] from Operation: 52-45=7
Current State: 35:[29, 42, 7], Operations: ['52-45=7']
Exploring Operation: 42/7=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 42/7=6
Current State: 35:[29, 6], Operations: ['52-45=7', '42/7=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
23,
25,
18,
80
] | 60 | [
"25-23=2",
"80-18=62",
"62-2=60"
] | Current State: 60:[23, 25, 18, 80], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [18, 80, 2]
Generated Node #2: [18, 80, 2] from Operation: 25-23=2
Current State: 60:[18, 80, 2], Operations: ['25-23=2']
Exploring Operation: 80-18=62, Resulting Numbers: [2, 62]
Generated Node #3: [2, 62] from Operation: 80-18=62
Current State: 60:[2, 62], Operations: ['25-23=2', '80-18=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
44,
2,
25,
49
] | 11 | [
"44-25=19",
"2*19=38",
"49-38=11"
] | Current State: 11:[44, 2, 25, 49], Operations: []
Exploring Operation: 44-25=19, Resulting Numbers: [2, 49, 19]
Generated Node #2: [2, 49, 19] from Operation: 44-25=19
Current State: 11:[2, 49, 19], Operations: ['44-25=19']
Exploring Operation: 2*19=38, Resulting Numbers: [49, 38]
Generated Node #3: [49, 38] from Operation: 2*19=38
Current State: 11:[49, 38], Operations: ['44-25=19', '2*19=38']
Exploring Operation: 49-38=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
30,
98,
3,
1
] | 66 | [
"98-30=68",
"3-1=2",
"68-2=66"
] | Current State: 66:[30, 98, 3, 1], Operations: []
Exploring Operation: 98-30=68, Resulting Numbers: [3, 1, 68]
Generated Node #2: [3, 1, 68] from Operation: 98-30=68
Current State: 66:[3, 1, 68], Operations: ['98-30=68']
Exploring Operation: 3-1=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 3-1=2
Current State: 66:[68, 2], Operations: ['98-30=68', '3-1=2']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
2,
4,
22,
65
] | 49 | [
"2+4=6",
"65-22=43",
"6+43=49"
] | Current State: 49:[2, 4, 22, 65], Operations: []
Exploring Operation: 2+4=6, Resulting Numbers: [22, 65, 6]
Generated Node #2: [22, 65, 6] from Operation: 2+4=6
Current State: 49:[22, 65, 6], Operations: ['2+4=6']
Exploring Operation: 65-22=43, Resulting Numbers: [6, 43]
Generated Node #3: [6, 43] from Operation: 65-22=43
Current State: 49:[6, 43], Operations: ['2+4=6', '65-22=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
78,
55,
37,
23
] | 74 | [
"55+37=92",
"92/23=4",
"78-4=74"
] | Current State: 74:[78, 55, 37, 23], Operations: []
Exploring Operation: 55+37=92, Resulting Numbers: [78, 23, 92]
Generated Node #2: [78, 23, 92] from Operation: 55+37=92
Current State: 74:[78, 23, 92], Operations: ['55+37=92']
Exploring Operation: 92/23=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 92/23=4
Current State: 74:[78, 4], Operations: ['55+37=92', '92/23=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
99,
11,
60,
64
] | 36 | [
"99-11=88",
"60+64=124",
"124-88=36"
] | Current State: 36:[99, 11, 60, 64], Operations: []
Exploring Operation: 99-11=88, Resulting Numbers: [60, 64, 88]
Generated Node #2: [60, 64, 88] from Operation: 99-11=88
Current State: 36:[60, 64, 88], Operations: ['99-11=88']
Exploring Operation: 60+64=124, Resulting Numbers: [88, 124]
Generated Node #3: [88, 124] from Operation: 60+64=124
Current State: 36:[88, 124], Operations: ['99-11=88', '60+64=124']
Exploring Operation: 124-88=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
22,
18,
35,
28
] | 33 | [
"22+18=40",
"35-28=7",
"40-7=33"
] | Current State: 33:[22, 18, 35, 28], Operations: []
Exploring Operation: 22+18=40, Resulting Numbers: [35, 28, 40]
Generated Node #2: [35, 28, 40] from Operation: 22+18=40
Current State: 33:[35, 28, 40], Operations: ['22+18=40']
Exploring Operation: 35-28=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 35-28=7
Current State: 33:[40, 7], Operations: ['22+18=40', '35-28=7']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
17,
94,
27,
26
] | 76 | [
"94-17=77",
"27-26=1",
"77-1=76"
] | Current State: 76:[17, 94, 27, 26], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [27, 26, 77]
Generated Node #2: [27, 26, 77] from Operation: 94-17=77
Current State: 76:[27, 26, 77], Operations: ['94-17=77']
Exploring Operation: 27-26=1, Resulting Numbers: [77, 1]
Generated Node #3: [77, 1] from Operation: 27-26=1
Current State: 76:[77, 1], Operations: ['94-17=77', '27-26=1']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
95,
8,
57,
54
] | 29 | [
"95-8=87",
"57-54=3",
"87/3=29"
] | Current State: 29:[95, 8, 57, 54], Operations: []
Exploring Operation: 95-8=87, Resulting Numbers: [57, 54, 87]
Generated Node #2: [57, 54, 87] from Operation: 95-8=87
Current State: 29:[57, 54, 87], Operations: ['95-8=87']
Exploring Operation: 57-54=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 57-54=3
Current State: 29:[87, 3], Operations: ['95-8=87', '57-54=3']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
6,
51,
17,
70
] | 83 | [
"6*17=102",
"70-51=19",
"102-19=83"
] | Current State: 83:[6, 51, 17, 70], Operations: []
Exploring Operation: 6*17=102, Resulting Numbers: [51, 70, 102]
Generated Node #2: [51, 70, 102] from Operation: 6*17=102
Current State: 83:[51, 70, 102], Operations: ['6*17=102']
Exploring Operation: 70-51=19, Resulting Numbers: [102, 19]
Generated Node #3: [102, 19] from Operation: 70-51=19
Current State: 83:[102, 19], Operations: ['6*17=102', '70-51=19']
Exploring Operation: 102-19=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
17,
92,
7,
5
] | 94 | [
"17-7=10",
"10/5=2",
"92+2=94"
] | Current State: 94:[17, 92, 7, 5], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [92, 5, 10]
Generated Node #2: [92, 5, 10] from Operation: 17-7=10
Current State: 94:[92, 5, 10], Operations: ['17-7=10']
Exploring Operation: 10/5=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 10/5=2
Current State: 94:[92, 2], Operations: ['17-7=10', '10/5=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
46,
50,
8
] | 94 | [
"64-46=18",
"8*18=144",
"144-50=94"
] | Current State: 94:[64, 46, 50, 8], Operations: []
Exploring Operation: 64-46=18, Resulting Numbers: [50, 8, 18]
Generated Node #2: [50, 8, 18] from Operation: 64-46=18
Current State: 94:[50, 8, 18], Operations: ['64-46=18']
Exploring Operation: 8*18=144, Resulting Numbers: [50, 144]
Generated Node #3: [50, 144] from Operation: 8*18=144
Current State: 94:[50, 144], Operations: ['64-46=18', '8*18=144']
Exploring Operation: 144-50=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
89,
42,
12,
72
] | 53 | [
"89-42=47",
"72/12=6",
"47+6=53"
] | Current State: 53:[89, 42, 12, 72], Operations: []
Exploring Operation: 89-42=47, Resulting Numbers: [12, 72, 47]
Generated Node #2: [12, 72, 47] from Operation: 89-42=47
Current State: 53:[12, 72, 47], Operations: ['89-42=47']
Exploring Operation: 72/12=6, Resulting Numbers: [47, 6]
Generated Node #3: [47, 6] from Operation: 72/12=6
Current State: 53:[47, 6], Operations: ['89-42=47', '72/12=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
48,
17,
34,
49
] | 52 | [
"48-17=31",
"34+49=83",
"83-31=52"
] | Current State: 52:[48, 17, 34, 49], Operations: []
Exploring Operation: 48-17=31, Resulting Numbers: [34, 49, 31]
Generated Node #2: [34, 49, 31] from Operation: 48-17=31
Current State: 52:[34, 49, 31], Operations: ['48-17=31']
Exploring Operation: 34+49=83, Resulting Numbers: [31, 83]
Generated Node #3: [31, 83] from Operation: 34+49=83
Current State: 52:[31, 83], Operations: ['48-17=31', '34+49=83']
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
79,
30,
7,
19
] | 84 | [
"79-30=49",
"7*19=133",
"133-49=84"
] | Current State: 84:[79, 30, 7, 19], Operations: []
Exploring Operation: 79-30=49, Resulting Numbers: [7, 19, 49]
Generated Node #2: [7, 19, 49] from Operation: 79-30=49
Current State: 84:[7, 19, 49], Operations: ['79-30=49']
Exploring Operation: 7*19=133, Resulting Numbers: [49, 133]
Generated Node #3: [49, 133] from Operation: 7*19=133
Current State: 84:[49, 133], Operations: ['79-30=49', '7*19=133']
Exploring Operation: 133-49=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
90,
4,
19,
53
] | 52 | [
"90-4=86",
"53-19=34",
"86-34=52"
] | Current State: 52:[90, 4, 19, 53], Operations: []
Exploring Operation: 90-4=86, Resulting Numbers: [19, 53, 86]
Generated Node #2: [19, 53, 86] from Operation: 90-4=86
Current State: 52:[19, 53, 86], Operations: ['90-4=86']
Exploring Operation: 53-19=34, Resulting Numbers: [86, 34]
Generated Node #3: [86, 34] from Operation: 53-19=34
Current State: 52:[86, 34], Operations: ['90-4=86', '53-19=34']
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
44,
36,
81,
48
] | 47 | [
"44+36=80",
"81-48=33",
"80-33=47"
] | Current State: 47:[44, 36, 81, 48], Operations: []
Exploring Operation: 44+36=80, Resulting Numbers: [81, 48, 80]
Generated Node #2: [81, 48, 80] from Operation: 44+36=80
Current State: 47:[81, 48, 80], Operations: ['44+36=80']
Exploring Operation: 81-48=33, Resulting Numbers: [80, 33]
Generated Node #3: [80, 33] from Operation: 81-48=33
Current State: 47:[80, 33], Operations: ['44+36=80', '81-48=33']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
41,
4,
45,
18
] | 31 | [
"4*45=180",
"180/18=10",
"41-10=31"
] | Current State: 31:[41, 4, 45, 18], Operations: []
Exploring Operation: 4*45=180, Resulting Numbers: [41, 18, 180]
Generated Node #2: [41, 18, 180] from Operation: 4*45=180
Current State: 31:[41, 18, 180], Operations: ['4*45=180']
Exploring Operation: 180/18=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 180/18=10
Current State: 31:[41, 10], Operations: ['4*45=180', '180/18=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
82,
2,
6,
36
] | 62 | [
"82+6=88",
"36+88=124",
"124/2=62"
] | Current State: 62:[82, 2, 6, 36], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [2, 36, 88]
Generated Node #2: [2, 36, 88] from Operation: 82+6=88
Current State: 62:[2, 36, 88], Operations: ['82+6=88']
Exploring Operation: 36+88=124, Resulting Numbers: [2, 124]
Generated Node #3: [2, 124] from Operation: 36+88=124
Current State: 62:[2, 124], Operations: ['82+6=88', '36+88=124']
Exploring Operation: 124/2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
96,
4,
41,
89
] | 72 | [
"96/4=24",
"89-41=48",
"24+48=72"
] | Current State: 72:[96, 4, 41, 89], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [41, 89, 24]
Generated Node #2: [41, 89, 24] from Operation: 96/4=24
Current State: 72:[41, 89, 24], Operations: ['96/4=24']
Exploring Operation: 89-41=48, Resulting Numbers: [24, 48]
Generated Node #3: [24, 48] from Operation: 89-41=48
Current State: 72:[24, 48], Operations: ['96/4=24', '89-41=48']
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
13,
46,
5
] | 41 | [
"13-13=0",
"46-5=41",
"0+41=41"
] | Current State: 41:[13, 13, 46, 5], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [46, 5, 0]
Generated Node #2: [46, 5, 0] from Operation: 13-13=0
Current State: 41:[46, 5, 0], Operations: ['13-13=0']
Exploring Operation: 46-5=41, Resulting Numbers: [0, 41]
Generated Node #3: [0, 41] from Operation: 46-5=41
Current State: 41:[0, 41], Operations: ['13-13=0', '46-5=41']
Exploring Operation: 0+41=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
5,
43,
66,
35
] | 69 | [
"43-5=38",
"66-35=31",
"38+31=69"
] | Current State: 69:[5, 43, 66, 35], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [66, 35, 38]
Generated Node #2: [66, 35, 38] from Operation: 43-5=38
Current State: 69:[66, 35, 38], Operations: ['43-5=38']
Exploring Operation: 66-35=31, Resulting Numbers: [38, 31]
Generated Node #3: [38, 31] from Operation: 66-35=31
Current State: 69:[38, 31], Operations: ['43-5=38', '66-35=31']
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
80,
50,
46,
16
] | 36 | [
"80/16=5",
"50/5=10",
"46-10=36"
] | Current State: 36:[80, 50, 46, 16], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [50, 46, 5]
Generated Node #2: [50, 46, 5] from Operation: 80/16=5
Current State: 36:[50, 46, 5], Operations: ['80/16=5']
Exploring Operation: 50/5=10, Resulting Numbers: [46, 10]
Generated Node #3: [46, 10] from Operation: 50/5=10
Current State: 36:[46, 10], Operations: ['80/16=5', '50/5=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
31,
7,
29,
8
] | 72 | [
"31+7=38",
"38-29=9",
"8*9=72"
] | Current State: 72:[31, 7, 29, 8], Operations: []
Exploring Operation: 31+7=38, Resulting Numbers: [29, 8, 38]
Generated Node #2: [29, 8, 38] from Operation: 31+7=38
Current State: 72:[29, 8, 38], Operations: ['31+7=38']
Exploring Operation: 38-29=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 38-29=9
Current State: 72:[8, 9], Operations: ['31+7=38', '38-29=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
12,
2,
72
] | 80 | [
"12/3=4",
"2*4=8",
"72+8=80"
] | Current State: 80:[3, 12, 2, 72], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [2, 72, 4]
Generated Node #2: [2, 72, 4] from Operation: 12/3=4
Current State: 80:[2, 72, 4], Operations: ['12/3=4']
Exploring Operation: 2*4=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 2*4=8
Current State: 80:[72, 8], Operations: ['12/3=4', '2*4=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
12,
10,
45,
14
] | 53 | [
"12+10=22",
"45-14=31",
"22+31=53"
] | Current State: 53:[12, 10, 45, 14], Operations: []
Exploring Operation: 12+10=22, Resulting Numbers: [45, 14, 22]
Generated Node #2: [45, 14, 22] from Operation: 12+10=22
Current State: 53:[45, 14, 22], Operations: ['12+10=22']
Exploring Operation: 45-14=31, Resulting Numbers: [22, 31]
Generated Node #3: [22, 31] from Operation: 45-14=31
Current State: 53:[22, 31], Operations: ['12+10=22', '45-14=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
56,
86,
1,
5
] | 75 | [
"56-1=55",
"55/5=11",
"86-11=75"
] | Current State: 75:[56, 86, 1, 5], Operations: []
Exploring Operation: 56-1=55, Resulting Numbers: [86, 5, 55]
Generated Node #2: [86, 5, 55] from Operation: 56-1=55
Current State: 75:[86, 5, 55], Operations: ['56-1=55']
Exploring Operation: 55/5=11, Resulting Numbers: [86, 11]
Generated Node #3: [86, 11] from Operation: 55/5=11
Current State: 75:[86, 11], Operations: ['56-1=55', '55/5=11']
Exploring Operation: 86-11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
45,
14,
54,
26
] | 43 | [
"54-26=28",
"28/14=2",
"45-2=43"
] | Current State: 43:[45, 14, 54, 26], Operations: []
Exploring Operation: 54-26=28, Resulting Numbers: [45, 14, 28]
Generated Node #2: [45, 14, 28] from Operation: 54-26=28
Current State: 43:[45, 14, 28], Operations: ['54-26=28']
Exploring Operation: 28/14=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 28/14=2
Current State: 43:[45, 2], Operations: ['54-26=28', '28/14=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
87,
71,
44,
5
] | 58 | [
"87*44=3828",
"71-5=66",
"3828/66=58"
] | Current State: 58:[87, 71, 44, 5], Operations: []
Exploring Operation: 87*44=3828, Resulting Numbers: [71, 5, 3828]
Generated Node #2: [71, 5, 3828] from Operation: 87*44=3828
Current State: 58:[71, 5, 3828], Operations: ['87*44=3828']
Exploring Operation: 71-5=66, Resulting Numbers: [3828, 66]
Generated Node #3: [3828, 66] from Operation: 71-5=66
Current State: 58:[3828, 66], Operations: ['87*44=3828', '71-5=66']
Exploring Operation: 3828/66=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
37,
48,
58,
88
] | 19 | [
"48-37=11",
"88-58=30",
"30-11=19"
] | Current State: 19:[37, 48, 58, 88], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [58, 88, 11]
Generated Node #2: [58, 88, 11] from Operation: 48-37=11
Current State: 19:[58, 88, 11], Operations: ['48-37=11']
Exploring Operation: 88-58=30, Resulting Numbers: [11, 30]
Generated Node #3: [11, 30] from Operation: 88-58=30
Current State: 19:[11, 30], Operations: ['48-37=11', '88-58=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
28,
19,
22,
22
] | 48 | [
"28+19=47",
"22/22=1",
"47+1=48"
] | Current State: 48:[28, 19, 22, 22], Operations: []
Exploring Operation: 28+19=47, Resulting Numbers: [22, 22, 47]
Generated Node #2: [22, 22, 47] from Operation: 28+19=47
Current State: 48:[22, 22, 47], Operations: ['28+19=47']
Exploring Operation: 22/22=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 22/22=1
Current State: 48:[47, 1], Operations: ['28+19=47', '22/22=1']
Exploring Operation: 47+1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
51,
66,
13,
11
] | 84 | [
"13-11=2",
"66/2=33",
"51+33=84"
] | Current State: 84:[51, 66, 13, 11], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [51, 66, 2]
Generated Node #2: [51, 66, 2] from Operation: 13-11=2
Current State: 84:[51, 66, 2], Operations: ['13-11=2']
Exploring Operation: 66/2=33, Resulting Numbers: [51, 33]
Generated Node #3: [51, 33] from Operation: 66/2=33
Current State: 84:[51, 33], Operations: ['13-11=2', '66/2=33']
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
24,
45,
28,
42
] | 36 | [
"45-42=3",
"24/3=8",
"28+8=36"
] | Current State: 36:[24, 45, 28, 42], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [24, 28, 3]
Generated Node #2: [24, 28, 3] from Operation: 45-42=3
Current State: 36:[24, 28, 3], Operations: ['45-42=3']
Exploring Operation: 24/3=8, Resulting Numbers: [28, 8]
Generated Node #3: [28, 8] from Operation: 24/3=8
Current State: 36:[28, 8], Operations: ['45-42=3', '24/3=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
44,
37,
92,
37
] | 47 | [
"92-44=48",
"37/37=1",
"48-1=47"
] | Current State: 47:[44, 37, 92, 37], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [37, 37, 48]
Generated Node #2: [37, 37, 48] from Operation: 92-44=48
Current State: 47:[37, 37, 48], Operations: ['92-44=48']
Exploring Operation: 37/37=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 37/37=1
Current State: 47:[48, 1], Operations: ['92-44=48', '37/37=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
3,
75,
91,
57
] | 77 | [
"3*75=225",
"91+57=148",
"225-148=77"
] | Current State: 77:[3, 75, 91, 57], Operations: []
Exploring Operation: 3*75=225, Resulting Numbers: [91, 57, 225]
Generated Node #2: [91, 57, 225] from Operation: 3*75=225
Current State: 77:[91, 57, 225], Operations: ['3*75=225']
Exploring Operation: 91+57=148, Resulting Numbers: [225, 148]
Generated Node #3: [225, 148] from Operation: 91+57=148
Current State: 77:[225, 148], Operations: ['3*75=225', '91+57=148']
Exploring Operation: 225-148=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
42,
63,
43,
2
] | 64 | [
"42+63=105",
"43-2=41",
"105-41=64"
] | Current State: 64:[42, 63, 43, 2], Operations: []
Exploring Operation: 42+63=105, Resulting Numbers: [43, 2, 105]
Generated Node #2: [43, 2, 105] from Operation: 42+63=105
Current State: 64:[43, 2, 105], Operations: ['42+63=105']
Exploring Operation: 43-2=41, Resulting Numbers: [105, 41]
Generated Node #3: [105, 41] from Operation: 43-2=41
Current State: 64:[105, 41], Operations: ['42+63=105', '43-2=41']
Exploring Operation: 105-41=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
61,
44,
2,
34
] | 100 | [
"44+34=78",
"78/2=39",
"61+39=100"
] | Current State: 100:[61, 44, 2, 34], Operations: []
Exploring Operation: 44+34=78, Resulting Numbers: [61, 2, 78]
Generated Node #2: [61, 2, 78] from Operation: 44+34=78
Current State: 100:[61, 2, 78], Operations: ['44+34=78']
Exploring Operation: 78/2=39, Resulting Numbers: [61, 39]
Generated Node #3: [61, 39] from Operation: 78/2=39
Current State: 100:[61, 39], Operations: ['44+34=78', '78/2=39']
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
96,
9,
3,
34
] | 74 | [
"96+9=105",
"34-3=31",
"105-31=74"
] | Current State: 74:[96, 9, 3, 34], Operations: []
Exploring Operation: 96+9=105, Resulting Numbers: [3, 34, 105]
Generated Node #2: [3, 34, 105] from Operation: 96+9=105
Current State: 74:[3, 34, 105], Operations: ['96+9=105']
Exploring Operation: 34-3=31, Resulting Numbers: [105, 31]
Generated Node #3: [105, 31] from Operation: 34-3=31
Current State: 74:[105, 31], Operations: ['96+9=105', '34-3=31']
Exploring Operation: 105-31=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
21,
84,
23,
60
] | 41 | [
"84/21=4",
"60-23=37",
"4+37=41"
] | Current State: 41:[21, 84, 23, 60], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [23, 60, 4]
Generated Node #2: [23, 60, 4] from Operation: 84/21=4
Current State: 41:[23, 60, 4], Operations: ['84/21=4']
Exploring Operation: 60-23=37, Resulting Numbers: [4, 37]
Generated Node #3: [4, 37] from Operation: 60-23=37
Current State: 41:[4, 37], Operations: ['84/21=4', '60-23=37']
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
26,
45,
23,
45
] | 90 | [
"26-23=3",
"45*3=135",
"135-45=90"
] | Current State: 90:[26, 45, 23, 45], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [45, 45, 3]
Generated Node #2: [45, 45, 3] from Operation: 26-23=3
Current State: 90:[45, 45, 3], Operations: ['26-23=3']
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,90 equal: Goal Reached
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
61,
39,
38,
56
] | 58 | [
"61*38=2318",
"2318-56=2262",
"2262/39=58"
] | Current State: 58:[61, 39, 38, 56], Operations: []
Exploring Operation: 61*38=2318, Resulting Numbers: [39, 56, 2318]
Generated Node #2: [39, 56, 2318] from Operation: 61*38=2318
Current State: 58:[39, 56, 2318], Operations: ['61*38=2318']
Exploring Operation: 2318-56=2262, Resulting Numbers: [39, 2262]
Generated Node #3: [39, 2262] from Operation: 2318-56=2262
Current State: 58:[39, 2262], Operations: ['61*38=2318', '2318-56=2262']
Exploring Operation: 2262/39=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
60,
39,
84,
81
] | 57 | [
"84-81=3",
"39*3=117",
"117-60=57"
] | Current State: 57:[60, 39, 84, 81], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [60, 39, 3]
Generated Node #2: [60, 39, 3] from Operation: 84-81=3
Current State: 57:[60, 39, 3], Operations: ['84-81=3']
Exploring Operation: 39*3=117, Resulting Numbers: [60, 117]
Generated Node #3: [60, 117] from Operation: 39*3=117
Current State: 57:[60, 117], Operations: ['84-81=3', '39*3=117']
Exploring Operation: 117-60=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
73,
61,
93,
85
] | 20 | [
"73-61=12",
"93-85=8",
"12+8=20"
] | Current State: 20:[73, 61, 93, 85], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [93, 85, 12]
Generated Node #2: [93, 85, 12] from Operation: 73-61=12
Current State: 20:[93, 85, 12], Operations: ['73-61=12']
Exploring Operation: 93-85=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 93-85=8
Current State: 20:[12, 8], Operations: ['73-61=12', '93-85=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
65,
62,
44,
25
] | 58 | [
"65+62=127",
"44+25=69",
"127-69=58"
] | Current State: 58:[65, 62, 44, 25], Operations: []
Exploring Operation: 65+62=127, Resulting Numbers: [44, 25, 127]
Generated Node #2: [44, 25, 127] from Operation: 65+62=127
Current State: 58:[44, 25, 127], Operations: ['65+62=127']
Exploring Operation: 44+25=69, Resulting Numbers: [127, 69]
Generated Node #3: [127, 69] from Operation: 44+25=69
Current State: 58:[127, 69], Operations: ['65+62=127', '44+25=69']
Exploring Operation: 127-69=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
19,
34,
17,
62
] | 14 | [
"19-17=2",
"62-34=28",
"28/2=14"
] | Current State: 14:[19, 34, 17, 62], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [34, 62, 2]
Generated Node #2: [34, 62, 2] from Operation: 19-17=2
Current State: 14:[34, 62, 2], Operations: ['19-17=2']
Exploring Operation: 62-34=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 62-34=28
Current State: 14:[2, 28], Operations: ['19-17=2', '62-34=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
56,
72,
40,
50
] | 34 | [
"72*50=3600",
"3600/40=90",
"90-56=34"
] | Current State: 34:[56, 72, 40, 50], Operations: []
Exploring Operation: 72*50=3600, Resulting Numbers: [56, 40, 3600]
Generated Node #2: [56, 40, 3600] from Operation: 72*50=3600
Current State: 34:[56, 40, 3600], Operations: ['72*50=3600']
Exploring Operation: 3600/40=90, Resulting Numbers: [56, 90]
Generated Node #3: [56, 90] from Operation: 3600/40=90
Current State: 34:[56, 90], Operations: ['72*50=3600', '3600/40=90']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
28,
26,
17,
5
] | 83 | [
"28-26=2",
"17*5=85",
"85-2=83"
] | Current State: 83:[28, 26, 17, 5], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [17, 5, 2]
Generated Node #2: [17, 5, 2] from Operation: 28-26=2
Current State: 83:[17, 5, 2], Operations: ['28-26=2']
Exploring Operation: 17*5=85, Resulting Numbers: [2, 85]
Generated Node #3: [2, 85] from Operation: 17*5=85
Current State: 83:[2, 85], Operations: ['28-26=2', '17*5=85']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
91,
13,
40,
92
] | 52 | [
"91+13=104",
"92-40=52",
"104-52=52"
] | Current State: 52:[91, 13, 40, 92], Operations: []
Exploring Operation: 91+13=104, Resulting Numbers: [40, 92, 104]
Generated Node #2: [40, 92, 104] from Operation: 91+13=104
Current State: 52:[40, 92, 104], Operations: ['91+13=104']
Exploring Operation: 92-40=52, Resulting Numbers: [104, 52]
Generated Node #3: [104, 52] from Operation: 92-40=52
Current State: 52:[104, 52], Operations: ['91+13=104', '92-40=52']
Exploring Operation: 104-52=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
71,
69,
16
] | 80 | [
"3+71=74",
"74-69=5",
"16*5=80"
] | Current State: 80:[3, 71, 69, 16], Operations: []
Exploring Operation: 3+71=74, Resulting Numbers: [69, 16, 74]
Generated Node #2: [69, 16, 74] from Operation: 3+71=74
Current State: 80:[69, 16, 74], Operations: ['3+71=74']
Exploring Operation: 74-69=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 74-69=5
Current State: 80:[16, 5], Operations: ['3+71=74', '74-69=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
48,
92,
49
] | 51 | [
"42+48=90",
"92+49=141",
"141-90=51"
] | Current State: 51:[42, 48, 92, 49], Operations: []
Exploring Operation: 42+48=90, Resulting Numbers: [92, 49, 90]
Generated Node #2: [92, 49, 90] from Operation: 42+48=90
Current State: 51:[92, 49, 90], Operations: ['42+48=90']
Exploring Operation: 92+49=141, Resulting Numbers: [90, 141]
Generated Node #3: [90, 141] from Operation: 92+49=141
Current State: 51:[90, 141], Operations: ['42+48=90', '92+49=141']
Exploring Operation: 141-90=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
47,
54,
87,
22
] | 19 | [
"54+87=141",
"141/47=3",
"22-3=19"
] | Current State: 19:[47, 54, 87, 22], Operations: []
Exploring Operation: 54+87=141, Resulting Numbers: [47, 22, 141]
Generated Node #2: [47, 22, 141] from Operation: 54+87=141
Current State: 19:[47, 22, 141], Operations: ['54+87=141']
Exploring Operation: 141/47=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 141/47=3
Current State: 19:[22, 3], Operations: ['54+87=141', '141/47=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
8,
26,
6,
64
] | 38 | [
"8+64=72",
"72/6=12",
"26+12=38"
] | Current State: 38:[8, 26, 6, 64], Operations: []
Exploring Operation: 8+64=72, Resulting Numbers: [26, 6, 72]
Generated Node #2: [26, 6, 72] from Operation: 8+64=72
Current State: 38:[26, 6, 72], Operations: ['8+64=72']
Exploring Operation: 72/6=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 72/6=12
Current State: 38:[26, 12], Operations: ['8+64=72', '72/6=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
10,
12,
28,
72
] | 58 | [
"12-10=2",
"28/2=14",
"72-14=58"
] | Current State: 58:[10, 12, 28, 72], Operations: []
Exploring Operation: 12-10=2, Resulting Numbers: [28, 72, 2]
Generated Node #2: [28, 72, 2] from Operation: 12-10=2
Current State: 58:[28, 72, 2], Operations: ['12-10=2']
Exploring Operation: 28/2=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 28/2=14
Current State: 58:[72, 14], Operations: ['12-10=2', '28/2=14']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
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