nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
46,
21,
41,
1
] | 48 | [
"41+1=42",
"42/21=2",
"46+2=48"
] | Current State: 48:[46, 21, 41, 1], Operations: []
Exploring Operation: 41+1=42, Resulting Numbers: [46, 21, 42]
Generated Node #2: [46, 21, 42] from Operation: 41+1=42
Current State: 48:[46, 21, 42], Operations: ['41+1=42']
Exploring Operation: 42/21=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 42/21=2
Current State: 48:[46, 2], Operations: ['41+1=42', '42/21=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
70,
2,
59,
7
] | 67 | [
"70-7=63",
"2*63=126",
"126-59=67"
] | Current State: 67:[70, 2, 59, 7], Operations: []
Exploring Operation: 70-7=63, Resulting Numbers: [2, 59, 63]
Generated Node #2: [2, 59, 63] from Operation: 70-7=63
Current State: 67:[2, 59, 63], Operations: ['70-7=63']
Exploring Operation: 2*63=126, Resulting Numbers: [59, 126]
Generated Node #3: [59, 126] from Operation: 2*63=126
Current State: 67:[59, 126], Operations: ['70-7=63', '2*63=126']
Exploring Operation: 126-59=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
57,
37,
96,
82
] | 41 | [
"57+37=94",
"96-94=2",
"82/2=41"
] | Current State: 41:[57, 37, 96, 82], Operations: []
Exploring Operation: 57+37=94, Resulting Numbers: [96, 82, 94]
Generated Node #2: [96, 82, 94] from Operation: 57+37=94
Current State: 41:[96, 82, 94], Operations: ['57+37=94']
Exploring Operation: 96-94=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 96-94=2
Current State: 41:[82, 2], Operations: ['57+37=94', '96-94=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
62,
40,
76,
58
] | 32 | [
"62+40=102",
"76+58=134",
"134-102=32"
] | Current State: 32:[62, 40, 76, 58], Operations: []
Exploring Operation: 62+40=102, Resulting Numbers: [76, 58, 102]
Generated Node #2: [76, 58, 102] from Operation: 62+40=102
Current State: 32:[76, 58, 102], Operations: ['62+40=102']
Exploring Operation: 76+58=134, Resulting Numbers: [102, 134]
Generated Node #3: [102, 134] from Operation: 76+58=134
Current State: 32:[102, 134], Operations: ['62+40=102', '76+58=134']
Exploring Operation: 134-102=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
50,
52,
12,
58
] | 100 | [
"50*12=600",
"58-52=6",
"600/6=100"
] | Current State: 100:[50, 52, 12, 58], Operations: []
Exploring Operation: 50*12=600, Resulting Numbers: [52, 58, 600]
Generated Node #2: [52, 58, 600] from Operation: 50*12=600
Current State: 100:[52, 58, 600], Operations: ['50*12=600']
Exploring Operation: 58-52=6, Resulting Numbers: [600, 6]
Generated Node #3: [600, 6] from Operation: 58-52=6
Current State: 100:[600, 6], Operations: ['50*12=600', '58-52=6']
Exploring Operation: 600/6=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
10,
67,
61
] | 21 | [
"67-10=57",
"61-57=4",
"84/4=21"
] | Current State: 21:[84, 10, 67, 61], Operations: []
Exploring Operation: 67-10=57, Resulting Numbers: [84, 61, 57]
Generated Node #2: [84, 61, 57] from Operation: 67-10=57
Current State: 21:[84, 61, 57], Operations: ['67-10=57']
Exploring Operation: 61-57=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 61-57=4
Current State: 21:[84, 4], Operations: ['67-10=57', '61-57=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
35,
56,
44,
37
] | 68 | [
"37-35=2",
"56*2=112",
"112-44=68"
] | Current State: 68:[35, 56, 44, 37], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [56, 44, 2]
Generated Node #2: [56, 44, 2] from Operation: 37-35=2
Current State: 68:[56, 44, 2], Operations: ['37-35=2']
Exploring Operation: 56*2=112, Resulting Numbers: [44, 112]
Generated Node #3: [44, 112] from Operation: 56*2=112
Current State: 68:[44, 112], Operations: ['37-35=2', '56*2=112']
Exploring Operation: 112-44=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
88,
2,
51,
62
] | 75 | [
"88-2=86",
"62-51=11",
"86-11=75"
] | Current State: 75:[88, 2, 51, 62], Operations: []
Exploring Operation: 88-2=86, Resulting Numbers: [51, 62, 86]
Generated Node #2: [51, 62, 86] from Operation: 88-2=86
Current State: 75:[51, 62, 86], Operations: ['88-2=86']
Exploring Operation: 62-51=11, Resulting Numbers: [86, 11]
Generated Node #3: [86, 11] from Operation: 62-51=11
Current State: 75:[86, 11], Operations: ['88-2=86', '62-51=11']
Exploring Operation: 86-11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
2,
57,
76,
30
] | 51 | [
"57-2=55",
"76+30=106",
"106-55=51"
] | Current State: 51:[2, 57, 76, 30], Operations: []
Exploring Operation: 57-2=55, Resulting Numbers: [76, 30, 55]
Generated Node #2: [76, 30, 55] from Operation: 57-2=55
Current State: 51:[76, 30, 55], Operations: ['57-2=55']
Exploring Operation: 76+30=106, Resulting Numbers: [55, 106]
Generated Node #3: [55, 106] from Operation: 76+30=106
Current State: 51:[55, 106], Operations: ['57-2=55', '76+30=106']
Exploring Operation: 106-55=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
36,
60,
4,
35
] | 29 | [
"60-36=24",
"24/4=6",
"35-6=29"
] | Current State: 29:[36, 60, 4, 35], Operations: []
Exploring Operation: 60-36=24, Resulting Numbers: [4, 35, 24]
Generated Node #2: [4, 35, 24] from Operation: 60-36=24
Current State: 29:[4, 35, 24], Operations: ['60-36=24']
Exploring Operation: 24/4=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 24/4=6
Current State: 29:[35, 6], Operations: ['60-36=24', '24/4=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
89,
80,
41,
79
] | 33 | [
"89-79=10",
"80/10=8",
"41-8=33"
] | Current State: 33:[89, 80, 41, 79], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [80, 41, 10]
Generated Node #2: [80, 41, 10] from Operation: 89-79=10
Current State: 33:[80, 41, 10], Operations: ['89-79=10']
Exploring Operation: 80/10=8, Resulting Numbers: [41, 8]
Generated Node #3: [41, 8] from Operation: 80/10=8
Current State: 33:[41, 8], Operations: ['89-79=10', '80/10=8']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
17,
59,
20,
2
] | 65 | [
"20-17=3",
"2*3=6",
"59+6=65"
] | Current State: 65:[17, 59, 20, 2], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [59, 2, 3]
Generated Node #2: [59, 2, 3] from Operation: 20-17=3
Current State: 65:[59, 2, 3], Operations: ['20-17=3']
Exploring Operation: 2*3=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 2*3=6
Current State: 65:[59, 6], Operations: ['20-17=3', '2*3=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
93,
37,
5
] | 95 | [
"2*37=74",
"93-74=19",
"5*19=95"
] | Current State: 95:[2, 93, 37, 5], Operations: []
Exploring Operation: 2*37=74, Resulting Numbers: [93, 5, 74]
Generated Node #2: [93, 5, 74] from Operation: 2*37=74
Current State: 95:[93, 5, 74], Operations: ['2*37=74']
Exploring Operation: 93-74=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 93-74=19
Current State: 95:[5, 19], Operations: ['2*37=74', '93-74=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
65,
95,
6
] | 45 | [
"95-65=30",
"6*30=180",
"180/4=45"
] | Current State: 45:[4, 65, 95, 6], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [4, 6, 30]
Generated Node #2: [4, 6, 30] from Operation: 95-65=30
Current State: 45:[4, 6, 30], Operations: ['95-65=30']
Exploring Operation: 6*30=180, Resulting Numbers: [4, 180]
Generated Node #3: [4, 180] from Operation: 6*30=180
Current State: 45:[4, 180], Operations: ['95-65=30', '6*30=180']
Exploring Operation: 180/4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
31,
62,
18,
41
] | 58 | [
"31+41=72",
"72/18=4",
"62-4=58"
] | Current State: 58:[31, 62, 18, 41], Operations: []
Exploring Operation: 31+41=72, Resulting Numbers: [62, 18, 72]
Generated Node #2: [62, 18, 72] from Operation: 31+41=72
Current State: 58:[62, 18, 72], Operations: ['31+41=72']
Exploring Operation: 72/18=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 72/18=4
Current State: 58:[62, 4], Operations: ['31+41=72', '72/18=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
63,
10,
63,
33
] | 44 | [
"63/63=1",
"10+33=43",
"1+43=44"
] | Current State: 44:[63, 10, 63, 33], Operations: []
Exploring Operation: 63/63=1, Resulting Numbers: [10, 33, 1]
Generated Node #2: [10, 33, 1] from Operation: 63/63=1
Current State: 44:[10, 33, 1], Operations: ['63/63=1']
Exploring Operation: 10+33=43, Resulting Numbers: [1, 43]
Generated Node #3: [1, 43] from Operation: 10+33=43
Current State: 44:[1, 43], Operations: ['63/63=1', '10+33=43']
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
3,
4,
35,
77
] | 24 | [
"3+4=7",
"77/7=11",
"35-11=24"
] | Current State: 24:[3, 4, 35, 77], Operations: []
Exploring Operation: 3+4=7, Resulting Numbers: [35, 77, 7]
Generated Node #2: [35, 77, 7] from Operation: 3+4=7
Current State: 24:[35, 77, 7], Operations: ['3+4=7']
Exploring Operation: 77/7=11, Resulting Numbers: [35, 11]
Generated Node #3: [35, 11] from Operation: 77/7=11
Current State: 24:[35, 11], Operations: ['3+4=7', '77/7=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
90,
9,
73,
63
] | 37 | [
"90+9=99",
"73+63=136",
"136-99=37"
] | Current State: 37:[90, 9, 73, 63], Operations: []
Exploring Operation: 90+9=99, Resulting Numbers: [73, 63, 99]
Generated Node #2: [73, 63, 99] from Operation: 90+9=99
Current State: 37:[73, 63, 99], Operations: ['90+9=99']
Exploring Operation: 73+63=136, Resulting Numbers: [99, 136]
Generated Node #3: [99, 136] from Operation: 73+63=136
Current State: 37:[99, 136], Operations: ['90+9=99', '73+63=136']
Exploring Operation: 136-99=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
31,
70,
39,
85
] | 34 | [
"70+85=155",
"155/31=5",
"39-5=34"
] | Current State: 34:[31, 70, 39, 85], Operations: []
Exploring Operation: 70+85=155, Resulting Numbers: [31, 39, 155]
Generated Node #2: [31, 39, 155] from Operation: 70+85=155
Current State: 34:[31, 39, 155], Operations: ['70+85=155']
Exploring Operation: 155/31=5, Resulting Numbers: [39, 5]
Generated Node #3: [39, 5] from Operation: 155/31=5
Current State: 34:[39, 5], Operations: ['70+85=155', '155/31=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
73,
56,
75,
18
] | 46 | [
"75-73=2",
"56/2=28",
"18+28=46"
] | Current State: 46:[73, 56, 75, 18], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [56, 18, 2]
Generated Node #2: [56, 18, 2] from Operation: 75-73=2
Current State: 46:[56, 18, 2], Operations: ['75-73=2']
Exploring Operation: 56/2=28, Resulting Numbers: [18, 28]
Generated Node #3: [18, 28] from Operation: 56/2=28
Current State: 46:[18, 28], Operations: ['75-73=2', '56/2=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
87,
93,
68,
95
] | 53 | [
"95-93=2",
"68/2=34",
"87-34=53"
] | Current State: 53:[87, 93, 68, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [87, 68, 2]
Generated Node #2: [87, 68, 2] from Operation: 95-93=2
Current State: 53:[87, 68, 2], Operations: ['95-93=2']
Exploring Operation: 68/2=34, Resulting Numbers: [87, 34]
Generated Node #3: [87, 34] from Operation: 68/2=34
Current State: 53:[87, 34], Operations: ['95-93=2', '68/2=34']
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
41,
20,
86,
50
] | 97 | [
"41+20=61",
"86-50=36",
"61+36=97"
] | Current State: 97:[41, 20, 86, 50], Operations: []
Exploring Operation: 41+20=61, Resulting Numbers: [86, 50, 61]
Generated Node #2: [86, 50, 61] from Operation: 41+20=61
Current State: 97:[86, 50, 61], Operations: ['41+20=61']
Exploring Operation: 86-50=36, Resulting Numbers: [61, 36]
Generated Node #3: [61, 36] from Operation: 86-50=36
Current State: 97:[61, 36], Operations: ['41+20=61', '86-50=36']
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
96,
65,
22,
95
] | 87 | [
"96-95=1",
"65+22=87",
"1*87=87"
] | Current State: 87:[96, 65, 22, 95], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [65, 22, 1]
Generated Node #2: [65, 22, 1] from Operation: 96-95=1
Current State: 87:[65, 22, 1], Operations: ['96-95=1']
Exploring Operation: 65+22=87, Resulting Numbers: [1, 87]
Generated Node #3: [1, 87] from Operation: 65+22=87
Current State: 87:[1, 87], Operations: ['96-95=1', '65+22=87']
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
68,
45,
19
] | 22 | [
"68-53=15",
"45/15=3",
"19+3=22"
] | Current State: 22:[53, 68, 45, 19], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [45, 19, 15]
Generated Node #2: [45, 19, 15] from Operation: 68-53=15
Current State: 22:[45, 19, 15], Operations: ['68-53=15']
Exploring Operation: 45/15=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 45/15=3
Current State: 22:[19, 3], Operations: ['68-53=15', '45/15=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
50,
41,
2,
4
] | 51 | [
"50-4=46",
"2*46=92",
"92-41=51"
] | Current State: 51:[50, 41, 2, 4], Operations: []
Exploring Operation: 50-4=46, Resulting Numbers: [41, 2, 46]
Generated Node #2: [41, 2, 46] from Operation: 50-4=46
Current State: 51:[41, 2, 46], Operations: ['50-4=46']
Exploring Operation: 2*46=92, Resulting Numbers: [41, 92]
Generated Node #3: [41, 92] from Operation: 2*46=92
Current State: 51:[41, 92], Operations: ['50-4=46', '2*46=92']
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
12,
33,
86
] | 46 | [
"19-12=7",
"86-33=53",
"53-7=46"
] | Current State: 46:[19, 12, 33, 86], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [33, 86, 7]
Generated Node #2: [33, 86, 7] from Operation: 19-12=7
Current State: 46:[33, 86, 7], Operations: ['19-12=7']
Exploring Operation: 86-33=53, Resulting Numbers: [7, 53]
Generated Node #3: [7, 53] from Operation: 86-33=53
Current State: 46:[7, 53], Operations: ['19-12=7', '86-33=53']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
5,
94,
85,
57
] | 43 | [
"5+94=99",
"85+57=142",
"142-99=43"
] | Current State: 43:[5, 94, 85, 57], Operations: []
Exploring Operation: 5+94=99, Resulting Numbers: [85, 57, 99]
Generated Node #2: [85, 57, 99] from Operation: 5+94=99
Current State: 43:[85, 57, 99], Operations: ['5+94=99']
Exploring Operation: 85+57=142, Resulting Numbers: [99, 142]
Generated Node #3: [99, 142] from Operation: 85+57=142
Current State: 43:[99, 142], Operations: ['5+94=99', '85+57=142']
Exploring Operation: 142-99=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
9,
48,
15
] | 94 | [
"9+15=24",
"48/24=2",
"96-2=94"
] | Current State: 94:[96, 9, 48, 15], Operations: []
Exploring Operation: 9+15=24, Resulting Numbers: [96, 48, 24]
Generated Node #2: [96, 48, 24] from Operation: 9+15=24
Current State: 94:[96, 48, 24], Operations: ['9+15=24']
Exploring Operation: 48/24=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 48/24=2
Current State: 94:[96, 2], Operations: ['9+15=24', '48/24=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
12,
28,
49,
22
] | 55 | [
"28-12=16",
"49+22=71",
"71-16=55"
] | Current State: 55:[12, 28, 49, 22], Operations: []
Exploring Operation: 28-12=16, Resulting Numbers: [49, 22, 16]
Generated Node #2: [49, 22, 16] from Operation: 28-12=16
Current State: 55:[49, 22, 16], Operations: ['28-12=16']
Exploring Operation: 49+22=71, Resulting Numbers: [16, 71]
Generated Node #3: [16, 71] from Operation: 49+22=71
Current State: 55:[16, 71], Operations: ['28-12=16', '49+22=71']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
51,
38,
25,
69
] | 45 | [
"51+38=89",
"69-25=44",
"89-44=45"
] | Current State: 45:[51, 38, 25, 69], Operations: []
Exploring Operation: 51+38=89, Resulting Numbers: [25, 69, 89]
Generated Node #2: [25, 69, 89] from Operation: 51+38=89
Current State: 45:[25, 69, 89], Operations: ['51+38=89']
Exploring Operation: 69-25=44, Resulting Numbers: [89, 44]
Generated Node #3: [89, 44] from Operation: 69-25=44
Current State: 45:[89, 44], Operations: ['51+38=89', '69-25=44']
Exploring Operation: 89-44=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
94,
63,
75
] | 91 | [
"94/2=47",
"63+75=138",
"138-47=91"
] | Current State: 91:[2, 94, 63, 75], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [63, 75, 47]
Generated Node #2: [63, 75, 47] from Operation: 94/2=47
Current State: 91:[63, 75, 47], Operations: ['94/2=47']
Exploring Operation: 63+75=138, Resulting Numbers: [47, 138]
Generated Node #3: [47, 138] from Operation: 63+75=138
Current State: 91:[47, 138], Operations: ['94/2=47', '63+75=138']
Exploring Operation: 138-47=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
94,
60,
49,
96
] | 72 | [
"94-49=45",
"96*45=4320",
"4320/60=72"
] | Current State: 72:[94, 60, 49, 96], Operations: []
Exploring Operation: 94-49=45, Resulting Numbers: [60, 96, 45]
Generated Node #2: [60, 96, 45] from Operation: 94-49=45
Current State: 72:[60, 96, 45], Operations: ['94-49=45']
Exploring Operation: 96*45=4320, Resulting Numbers: [60, 4320]
Generated Node #3: [60, 4320] from Operation: 96*45=4320
Current State: 72:[60, 4320], Operations: ['94-49=45', '96*45=4320']
Exploring Operation: 4320/60=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
11,
14,
26,
22
] | 58 | [
"26-22=4",
"11*4=44",
"14+44=58"
] | Current State: 58:[11, 14, 26, 22], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [11, 14, 4]
Generated Node #2: [11, 14, 4] from Operation: 26-22=4
Current State: 58:[11, 14, 4], Operations: ['26-22=4']
Exploring Operation: 11*4=44, Resulting Numbers: [14, 44]
Generated Node #3: [14, 44] from Operation: 11*4=44
Current State: 58:[14, 44], Operations: ['26-22=4', '11*4=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
90,
12,
67,
30
] | 58 | [
"90/30=3",
"67-12=55",
"3+55=58"
] | Current State: 58:[90, 12, 67, 30], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [12, 67, 3]
Generated Node #2: [12, 67, 3] from Operation: 90/30=3
Current State: 58:[12, 67, 3], Operations: ['90/30=3']
Exploring Operation: 67-12=55, Resulting Numbers: [3, 55]
Generated Node #3: [3, 55] from Operation: 67-12=55
Current State: 58:[3, 55], Operations: ['90/30=3', '67-12=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
56,
6,
4,
22
] | 58 | [
"56-22=34",
"6*4=24",
"34+24=58"
] | Current State: 58:[56, 6, 4, 22], Operations: []
Exploring Operation: 56-22=34, Resulting Numbers: [6, 4, 34]
Generated Node #2: [6, 4, 34] from Operation: 56-22=34
Current State: 58:[6, 4, 34], Operations: ['56-22=34']
Exploring Operation: 6*4=24, Resulting Numbers: [34, 24]
Generated Node #3: [34, 24] from Operation: 6*4=24
Current State: 58:[34, 24], Operations: ['56-22=34', '6*4=24']
Exploring Operation: 34+24=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
98,
17,
10,
2
] | 52 | [
"17-2=15",
"10*15=150",
"150-98=52"
] | Current State: 52:[98, 17, 10, 2], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [98, 10, 15]
Generated Node #2: [98, 10, 15] from Operation: 17-2=15
Current State: 52:[98, 10, 15], Operations: ['17-2=15']
Exploring Operation: 10*15=150, Resulting Numbers: [98, 150]
Generated Node #3: [98, 150] from Operation: 10*15=150
Current State: 52:[98, 150], Operations: ['17-2=15', '10*15=150']
Exploring Operation: 150-98=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
90,
57,
65,
12
] | 70 | [
"90+57=147",
"65+12=77",
"147-77=70"
] | Current State: 70:[90, 57, 65, 12], Operations: []
Exploring Operation: 90+57=147, Resulting Numbers: [65, 12, 147]
Generated Node #2: [65, 12, 147] from Operation: 90+57=147
Current State: 70:[65, 12, 147], Operations: ['90+57=147']
Exploring Operation: 65+12=77, Resulting Numbers: [147, 77]
Generated Node #3: [147, 77] from Operation: 65+12=77
Current State: 70:[147, 77], Operations: ['90+57=147', '65+12=77']
Exploring Operation: 147-77=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
79,
7,
3,
33
] | 97 | [
"79+7=86",
"33/3=11",
"86+11=97"
] | Current State: 97:[79, 7, 3, 33], Operations: []
Exploring Operation: 79+7=86, Resulting Numbers: [3, 33, 86]
Generated Node #2: [3, 33, 86] from Operation: 79+7=86
Current State: 97:[3, 33, 86], Operations: ['79+7=86']
Exploring Operation: 33/3=11, Resulting Numbers: [86, 11]
Generated Node #3: [86, 11] from Operation: 33/3=11
Current State: 97:[86, 11], Operations: ['79+7=86', '33/3=11']
Exploring Operation: 86+11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
68,
88,
40,
39
] | 77 | [
"68+88=156",
"40+39=79",
"156-79=77"
] | Current State: 77:[68, 88, 40, 39], Operations: []
Exploring Operation: 68+88=156, Resulting Numbers: [40, 39, 156]
Generated Node #2: [40, 39, 156] from Operation: 68+88=156
Current State: 77:[40, 39, 156], Operations: ['68+88=156']
Exploring Operation: 40+39=79, Resulting Numbers: [156, 79]
Generated Node #3: [156, 79] from Operation: 40+39=79
Current State: 77:[156, 79], Operations: ['68+88=156', '40+39=79']
Exploring Operation: 156-79=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
28,
51,
67,
89
] | 72 | [
"51+89=140",
"140/28=5",
"67+5=72"
] | Current State: 72:[28, 51, 67, 89], Operations: []
Exploring Operation: 51+89=140, Resulting Numbers: [28, 67, 140]
Generated Node #2: [28, 67, 140] from Operation: 51+89=140
Current State: 72:[28, 67, 140], Operations: ['51+89=140']
Exploring Operation: 140/28=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 140/28=5
Current State: 72:[67, 5], Operations: ['51+89=140', '140/28=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
26,
99,
85,
6
] | 34 | [
"26+99=125",
"85+6=91",
"125-91=34"
] | Current State: 34:[26, 99, 85, 6], Operations: []
Exploring Operation: 26+99=125, Resulting Numbers: [85, 6, 125]
Generated Node #2: [85, 6, 125] from Operation: 26+99=125
Current State: 34:[85, 6, 125], Operations: ['26+99=125']
Exploring Operation: 85+6=91, Resulting Numbers: [125, 91]
Generated Node #3: [125, 91] from Operation: 85+6=91
Current State: 34:[125, 91], Operations: ['26+99=125', '85+6=91']
Exploring Operation: 125-91=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
67,
29,
4,
55
] | 68 | [
"67-29=38",
"55-38=17",
"4*17=68"
] | Current State: 68:[67, 29, 4, 55], Operations: []
Exploring Operation: 67-29=38, Resulting Numbers: [4, 55, 38]
Generated Node #2: [4, 55, 38] from Operation: 67-29=38
Current State: 68:[4, 55, 38], Operations: ['67-29=38']
Exploring Operation: 55-38=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 55-38=17
Current State: 68:[4, 17], Operations: ['67-29=38', '55-38=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
34,
98,
50,
37
] | 77 | [
"98-34=64",
"50-37=13",
"64+13=77"
] | Current State: 77:[34, 98, 50, 37], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [50, 37, 64]
Generated Node #2: [50, 37, 64] from Operation: 98-34=64
Current State: 77:[50, 37, 64], Operations: ['98-34=64']
Exploring Operation: 50-37=13, Resulting Numbers: [64, 13]
Generated Node #3: [64, 13] from Operation: 50-37=13
Current State: 77:[64, 13], Operations: ['98-34=64', '50-37=13']
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
6,
16,
42,
90
] | 73 | [
"90/6=15",
"16+42=58",
"15+58=73"
] | Current State: 73:[6, 16, 42, 90], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [16, 42, 15]
Generated Node #2: [16, 42, 15] from Operation: 90/6=15
Current State: 73:[16, 42, 15], Operations: ['90/6=15']
Exploring Operation: 16+42=58, Resulting Numbers: [15, 58]
Generated Node #3: [15, 58] from Operation: 16+42=58
Current State: 73:[15, 58], Operations: ['90/6=15', '16+42=58']
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
62,
2,
28,
54
] | 24 | [
"62-54=8",
"8/2=4",
"28-4=24"
] | Current State: 24:[62, 2, 28, 54], Operations: []
Exploring Operation: 62-54=8, Resulting Numbers: [2, 28, 8]
Generated Node #2: [2, 28, 8] from Operation: 62-54=8
Current State: 24:[2, 28, 8], Operations: ['62-54=8']
Exploring Operation: 8/2=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 8/2=4
Current State: 24:[28, 4], Operations: ['62-54=8', '8/2=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
51,
11,
83,
10
] | 53 | [
"51-11=40",
"83+10=93",
"93-40=53"
] | Current State: 53:[51, 11, 83, 10], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [83, 10, 40]
Generated Node #2: [83, 10, 40] from Operation: 51-11=40
Current State: 53:[83, 10, 40], Operations: ['51-11=40']
Exploring Operation: 83+10=93, Resulting Numbers: [40, 93]
Generated Node #3: [40, 93] from Operation: 83+10=93
Current State: 53:[40, 93], Operations: ['51-11=40', '83+10=93']
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
27,
41,
17,
22
] | 54 | [
"41-17=24",
"24-22=2",
"27*2=54"
] | Current State: 54:[27, 41, 17, 22], Operations: []
Exploring Operation: 41-17=24, Resulting Numbers: [27, 22, 24]
Generated Node #2: [27, 22, 24] from Operation: 41-17=24
Current State: 54:[27, 22, 24], Operations: ['41-17=24']
Exploring Operation: 24-22=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 24-22=2
Current State: 54:[27, 2], Operations: ['41-17=24', '24-22=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
65,
60,
54,
2
] | 51 | [
"65-60=5",
"54+2=56",
"56-5=51"
] | Current State: 51:[65, 60, 54, 2], Operations: []
Exploring Operation: 65-60=5, Resulting Numbers: [54, 2, 5]
Generated Node #2: [54, 2, 5] from Operation: 65-60=5
Current State: 51:[54, 2, 5], Operations: ['65-60=5']
Exploring Operation: 54+2=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 54+2=56
Current State: 51:[5, 56], Operations: ['65-60=5', '54+2=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
13,
58,
3,
54
] | 81 | [
"58-13=45",
"3*45=135",
"135-54=81"
] | Current State: 81:[13, 58, 3, 54], Operations: []
Exploring Operation: 58-13=45, Resulting Numbers: [3, 54, 45]
Generated Node #2: [3, 54, 45] from Operation: 58-13=45
Current State: 81:[3, 54, 45], Operations: ['58-13=45']
Exploring Operation: 3*45=135, Resulting Numbers: [54, 135]
Generated Node #3: [54, 135] from Operation: 3*45=135
Current State: 81:[54, 135], Operations: ['58-13=45', '3*45=135']
Exploring Operation: 135-54=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
11,
8,
65,
40
] | 35 | [
"11-8=3",
"65+40=105",
"105/3=35"
] | Current State: 35:[11, 8, 65, 40], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [65, 40, 3]
Generated Node #2: [65, 40, 3] from Operation: 11-8=3
Current State: 35:[65, 40, 3], Operations: ['11-8=3']
Exploring Operation: 65+40=105, Resulting Numbers: [3, 105]
Generated Node #3: [3, 105] from Operation: 65+40=105
Current State: 35:[3, 105], Operations: ['11-8=3', '65+40=105']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
80,
20,
90,
8
] | 12 | [
"80-20=60",
"90*8=720",
"720/60=12"
] | Current State: 12:[80, 20, 90, 8], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [90, 8, 60]
Generated Node #2: [90, 8, 60] from Operation: 80-20=60
Current State: 12:[90, 8, 60], Operations: ['80-20=60']
Exploring Operation: 90*8=720, Resulting Numbers: [60, 720]
Generated Node #3: [60, 720] from Operation: 90*8=720
Current State: 12:[60, 720], Operations: ['80-20=60', '90*8=720']
Exploring Operation: 720/60=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
39,
59,
33,
52
] | 15 | [
"33*52=1716",
"1716/39=44",
"59-44=15"
] | Current State: 15:[39, 59, 33, 52], Operations: []
Exploring Operation: 33*52=1716, Resulting Numbers: [39, 59, 1716]
Generated Node #2: [39, 59, 1716] from Operation: 33*52=1716
Current State: 15:[39, 59, 1716], Operations: ['33*52=1716']
Exploring Operation: 1716/39=44, Resulting Numbers: [59, 44]
Generated Node #3: [59, 44] from Operation: 1716/39=44
Current State: 15:[59, 44], Operations: ['33*52=1716', '1716/39=44']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
17,
12,
42,
13
] | 25 | [
"42-17=25",
"13-12=1",
"25*1=25"
] | Current State: 25:[17, 12, 42, 13], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [12, 13, 25]
Generated Node #2: [12, 13, 25] from Operation: 42-17=25
Current State: 25:[12, 13, 25], Operations: ['42-17=25']
Exploring Operation: 13-12=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 13-12=1
Current State: 25:[25, 1], Operations: ['42-17=25', '13-12=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
8,
88,
22,
10
] | 76 | [
"8*10=80",
"88/22=4",
"80-4=76"
] | Current State: 76:[8, 88, 22, 10], Operations: []
Exploring Operation: 8*10=80, Resulting Numbers: [88, 22, 80]
Generated Node #2: [88, 22, 80] from Operation: 8*10=80
Current State: 76:[88, 22, 80], Operations: ['8*10=80']
Exploring Operation: 88/22=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 88/22=4
Current State: 76:[80, 4], Operations: ['8*10=80', '88/22=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
46,
28,
37,
50
] | 61 | [
"46+28=74",
"50-37=13",
"74-13=61"
] | Current State: 61:[46, 28, 37, 50], Operations: []
Exploring Operation: 46+28=74, Resulting Numbers: [37, 50, 74]
Generated Node #2: [37, 50, 74] from Operation: 46+28=74
Current State: 61:[37, 50, 74], Operations: ['46+28=74']
Exploring Operation: 50-37=13, Resulting Numbers: [74, 13]
Generated Node #3: [74, 13] from Operation: 50-37=13
Current State: 61:[74, 13], Operations: ['46+28=74', '50-37=13']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
85,
43,
38,
24
] | 41 | [
"43-38=5",
"85/5=17",
"24+17=41"
] | Current State: 41:[85, 43, 38, 24], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [85, 24, 5]
Generated Node #2: [85, 24, 5] from Operation: 43-38=5
Current State: 41:[85, 24, 5], Operations: ['43-38=5']
Exploring Operation: 85/5=17, Resulting Numbers: [24, 17]
Generated Node #3: [24, 17] from Operation: 85/5=17
Current State: 41:[24, 17], Operations: ['43-38=5', '85/5=17']
Exploring Operation: 24+17=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
59,
41,
10,
1
] | 47 | [
"59+1=60",
"60/10=6",
"41+6=47"
] | Current State: 47:[59, 41, 10, 1], Operations: []
Exploring Operation: 59+1=60, Resulting Numbers: [41, 10, 60]
Generated Node #2: [41, 10, 60] from Operation: 59+1=60
Current State: 47:[41, 10, 60], Operations: ['59+1=60']
Exploring Operation: 60/10=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 60/10=6
Current State: 47:[41, 6], Operations: ['59+1=60', '60/10=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
76,
11,
88,
9
] | 24 | [
"88-76=12",
"11-9=2",
"12*2=24"
] | Current State: 24:[76, 11, 88, 9], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [11, 9, 12]
Generated Node #2: [11, 9, 12] from Operation: 88-76=12
Current State: 24:[11, 9, 12], Operations: ['88-76=12']
Exploring Operation: 11-9=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 11-9=2
Current State: 24:[12, 2], Operations: ['88-76=12', '11-9=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
29,
48,
28,
55
] | 92 | [
"48*55=2640",
"28+2640=2668",
"2668/29=92"
] | Current State: 92:[29, 48, 28, 55], Operations: []
Exploring Operation: 48*55=2640, Resulting Numbers: [29, 28, 2640]
Generated Node #2: [29, 28, 2640] from Operation: 48*55=2640
Current State: 92:[29, 28, 2640], Operations: ['48*55=2640']
Exploring Operation: 28+2640=2668, Resulting Numbers: [29, 2668]
Generated Node #3: [29, 2668] from Operation: 28+2640=2668
Current State: 92:[29, 2668], Operations: ['48*55=2640', '28+2640=2668']
Exploring Operation: 2668/29=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
56,
53,
84,
36
] | 29 | [
"56*36=2016",
"2016/84=24",
"53-24=29"
] | Current State: 29:[56, 53, 84, 36], Operations: []
Exploring Operation: 56*36=2016, Resulting Numbers: [53, 84, 2016]
Generated Node #2: [53, 84, 2016] from Operation: 56*36=2016
Current State: 29:[53, 84, 2016], Operations: ['56*36=2016']
Exploring Operation: 2016/84=24, Resulting Numbers: [53, 24]
Generated Node #3: [53, 24] from Operation: 2016/84=24
Current State: 29:[53, 24], Operations: ['56*36=2016', '2016/84=24']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
98,
13,
27,
14
] | 33 | [
"98/14=7",
"13+27=40",
"40-7=33"
] | Current State: 33:[98, 13, 27, 14], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [13, 27, 7]
Generated Node #2: [13, 27, 7] from Operation: 98/14=7
Current State: 33:[13, 27, 7], Operations: ['98/14=7']
Exploring Operation: 13+27=40, Resulting Numbers: [7, 40]
Generated Node #3: [7, 40] from Operation: 13+27=40
Current State: 33:[7, 40], Operations: ['98/14=7', '13+27=40']
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
92,
14,
53,
80
] | 40 | [
"92+14=106",
"53*80=4240",
"4240/106=40"
] | Current State: 40:[92, 14, 53, 80], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [53, 80, 106]
Generated Node #2: [53, 80, 106] from Operation: 92+14=106
Current State: 40:[53, 80, 106], Operations: ['92+14=106']
Exploring Operation: 53*80=4240, Resulting Numbers: [106, 4240]
Generated Node #3: [106, 4240] from Operation: 53*80=4240
Current State: 40:[106, 4240], Operations: ['92+14=106', '53*80=4240']
Exploring Operation: 4240/106=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
81,
14,
6
] | 65 | [
"81-36=45",
"14+6=20",
"45+20=65"
] | Current State: 65:[36, 81, 14, 6], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [14, 6, 45]
Generated Node #2: [14, 6, 45] from Operation: 81-36=45
Current State: 65:[14, 6, 45], Operations: ['81-36=45']
Exploring Operation: 14+6=20, Resulting Numbers: [45, 20]
Generated Node #3: [45, 20] from Operation: 14+6=20
Current State: 65:[45, 20], Operations: ['81-36=45', '14+6=20']
Exploring Operation: 45+20=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
20,
20,
38,
72
] | 74 | [
"20+20=40",
"72-38=34",
"40+34=74"
] | Current State: 74:[20, 20, 38, 72], Operations: []
Exploring Operation: 20+20=40, Resulting Numbers: [38, 72, 40]
Generated Node #2: [38, 72, 40] from Operation: 20+20=40
Current State: 74:[38, 72, 40], Operations: ['20+20=40']
Exploring Operation: 72-38=34, Resulting Numbers: [40, 34]
Generated Node #3: [40, 34] from Operation: 72-38=34
Current State: 74:[40, 34], Operations: ['20+20=40', '72-38=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
64,
81,
54,
3
] | 99 | [
"64*81=5184",
"5184/54=96",
"3+96=99"
] | Current State: 99:[64, 81, 54, 3], Operations: []
Exploring Operation: 64*81=5184, Resulting Numbers: [54, 3, 5184]
Generated Node #2: [54, 3, 5184] from Operation: 64*81=5184
Current State: 99:[54, 3, 5184], Operations: ['64*81=5184']
Exploring Operation: 5184/54=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 5184/54=96
Current State: 99:[3, 96], Operations: ['64*81=5184', '5184/54=96']
Exploring Operation: 3+96=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
5,
20,
48,
7
] | 76 | [
"20/5=4",
"7*4=28",
"48+28=76"
] | Current State: 76:[5, 20, 48, 7], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [48, 7, 4]
Generated Node #2: [48, 7, 4] from Operation: 20/5=4
Current State: 76:[48, 7, 4], Operations: ['20/5=4']
Exploring Operation: 7*4=28, Resulting Numbers: [48, 28]
Generated Node #3: [48, 28] from Operation: 7*4=28
Current State: 76:[48, 28], Operations: ['20/5=4', '7*4=28']
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
26,
25,
56,
20
] | 35 | [
"26-25=1",
"56-20=36",
"36-1=35"
] | Current State: 35:[26, 25, 56, 20], Operations: []
Exploring Operation: 26-25=1, Resulting Numbers: [56, 20, 1]
Generated Node #2: [56, 20, 1] from Operation: 26-25=1
Current State: 35:[56, 20, 1], Operations: ['26-25=1']
Exploring Operation: 56-20=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 56-20=36
Current State: 35:[1, 36], Operations: ['26-25=1', '56-20=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
55,
51,
33,
37
] | 95 | [
"55-51=4",
"33*4=132",
"132-37=95"
] | Current State: 95:[55, 51, 33, 37], Operations: []
Exploring Operation: 55-51=4, Resulting Numbers: [33, 37, 4]
Generated Node #2: [33, 37, 4] from Operation: 55-51=4
Current State: 95:[33, 37, 4], Operations: ['55-51=4']
Exploring Operation: 33*4=132, Resulting Numbers: [37, 132]
Generated Node #3: [37, 132] from Operation: 33*4=132
Current State: 95:[37, 132], Operations: ['55-51=4', '33*4=132']
Exploring Operation: 132-37=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
78,
65,
52,
18
] | 75 | [
"78-18=60",
"65*60=3900",
"3900/52=75"
] | Current State: 75:[78, 65, 52, 18], Operations: []
Exploring Operation: 78-18=60, Resulting Numbers: [65, 52, 60]
Generated Node #2: [65, 52, 60] from Operation: 78-18=60
Current State: 75:[65, 52, 60], Operations: ['78-18=60']
Exploring Operation: 65*60=3900, Resulting Numbers: [52, 3900]
Generated Node #3: [52, 3900] from Operation: 65*60=3900
Current State: 75:[52, 3900], Operations: ['78-18=60', '65*60=3900']
Exploring Operation: 3900/52=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
40,
55,
73,
36
] | 42 | [
"73-55=18",
"36/18=2",
"40+2=42"
] | Current State: 42:[40, 55, 73, 36], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [40, 36, 18]
Generated Node #2: [40, 36, 18] from Operation: 73-55=18
Current State: 42:[40, 36, 18], Operations: ['73-55=18']
Exploring Operation: 36/18=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 36/18=2
Current State: 42:[40, 2], Operations: ['73-55=18', '36/18=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
40,
90,
8,
54
] | 36 | [
"40/8=5",
"90/5=18",
"54-18=36"
] | Current State: 36:[40, 90, 8, 54], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [90, 54, 5]
Generated Node #2: [90, 54, 5] from Operation: 40/8=5
Current State: 36:[90, 54, 5], Operations: ['40/8=5']
Exploring Operation: 90/5=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 90/5=18
Current State: 36:[54, 18], Operations: ['40/8=5', '90/5=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
56,
10,
99
] | 23 | [
"2*56=112",
"99-10=89",
"112-89=23"
] | Current State: 23:[2, 56, 10, 99], Operations: []
Exploring Operation: 2*56=112, Resulting Numbers: [10, 99, 112]
Generated Node #2: [10, 99, 112] from Operation: 2*56=112
Current State: 23:[10, 99, 112], Operations: ['2*56=112']
Exploring Operation: 99-10=89, Resulting Numbers: [112, 89]
Generated Node #3: [112, 89] from Operation: 99-10=89
Current State: 23:[112, 89], Operations: ['2*56=112', '99-10=89']
Exploring Operation: 112-89=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
37,
51,
35,
9
] | 69 | [
"37-35=2",
"9*2=18",
"51+18=69"
] | Current State: 69:[37, 51, 35, 9], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [51, 9, 2]
Generated Node #2: [51, 9, 2] from Operation: 37-35=2
Current State: 69:[51, 9, 2], Operations: ['37-35=2']
Exploring Operation: 9*2=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 9*2=18
Current State: 69:[51, 18], Operations: ['37-35=2', '9*2=18']
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
93,
91,
71,
61
] | 20 | [
"93-91=2",
"71-61=10",
"2*10=20"
] | Current State: 20:[93, 91, 71, 61], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [71, 61, 2]
Generated Node #2: [71, 61, 2] from Operation: 93-91=2
Current State: 20:[71, 61, 2], Operations: ['93-91=2']
Exploring Operation: 71-61=10, Resulting Numbers: [2, 10]
Generated Node #3: [2, 10] from Operation: 71-61=10
Current State: 20:[2, 10], Operations: ['93-91=2', '71-61=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
60,
69,
94,
54
] | 31 | [
"69-60=9",
"94-54=40",
"40-9=31"
] | Current State: 31:[60, 69, 94, 54], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [94, 54, 9]
Generated Node #2: [94, 54, 9] from Operation: 69-60=9
Current State: 31:[94, 54, 9], Operations: ['69-60=9']
Exploring Operation: 94-54=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 94-54=40
Current State: 31:[9, 40], Operations: ['69-60=9', '94-54=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
64,
78,
23,
23
] | 32 | [
"78-64=14",
"23+23=46",
"46-14=32"
] | Current State: 32:[64, 78, 23, 23], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [23, 23, 14]
Generated Node #2: [23, 23, 14] from Operation: 78-64=14
Current State: 32:[23, 23, 14], Operations: ['78-64=14']
Exploring Operation: 23+23=46, Resulting Numbers: [14, 46]
Generated Node #3: [14, 46] from Operation: 23+23=46
Current State: 32:[14, 46], Operations: ['78-64=14', '23+23=46']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
38,
13,
34,
15
] | 37 | [
"38-34=4",
"13*4=52",
"52-15=37"
] | Current State: 37:[38, 13, 34, 15], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [13, 15, 4]
Generated Node #2: [13, 15, 4] from Operation: 38-34=4
Current State: 37:[13, 15, 4], Operations: ['38-34=4']
Exploring Operation: 13*4=52, Resulting Numbers: [15, 52]
Generated Node #3: [15, 52] from Operation: 13*4=52
Current State: 37:[15, 52], Operations: ['38-34=4', '13*4=52']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
4,
75,
65,
36
] | 90 | [
"36/4=9",
"75-65=10",
"9*10=90"
] | Current State: 90:[4, 75, 65, 36], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [75, 65, 9]
Generated Node #2: [75, 65, 9] from Operation: 36/4=9
Current State: 90:[75, 65, 9], Operations: ['36/4=9']
Exploring Operation: 75-65=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 75-65=10
Current State: 90:[9, 10], Operations: ['36/4=9', '75-65=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
79,
70,
77,
20
] | 45 | [
"79-77=2",
"70+20=90",
"90/2=45"
] | Current State: 45:[79, 70, 77, 20], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [70, 20, 2]
Generated Node #2: [70, 20, 2] from Operation: 79-77=2
Current State: 45:[70, 20, 2], Operations: ['79-77=2']
Exploring Operation: 70+20=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 70+20=90
Current State: 45:[2, 90], Operations: ['79-77=2', '70+20=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
41,
98,
10,
58
] | 37 | [
"98-58=40",
"40/10=4",
"41-4=37"
] | Current State: 37:[41, 98, 10, 58], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [41, 10, 40]
Generated Node #2: [41, 10, 40] from Operation: 98-58=40
Current State: 37:[41, 10, 40], Operations: ['98-58=40']
Exploring Operation: 40/10=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 40/10=4
Current State: 37:[41, 4], Operations: ['98-58=40', '40/10=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
25,
19,
22,
40
] | 56 | [
"25-19=6",
"22+40=62",
"62-6=56"
] | Current State: 56:[25, 19, 22, 40], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [22, 40, 6]
Generated Node #2: [22, 40, 6] from Operation: 25-19=6
Current State: 56:[22, 40, 6], Operations: ['25-19=6']
Exploring Operation: 22+40=62, Resulting Numbers: [6, 62]
Generated Node #3: [6, 62] from Operation: 22+40=62
Current State: 56:[6, 62], Operations: ['25-19=6', '22+40=62']
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
54,
36,
1,
89
] | 70 | [
"54-36=18",
"89-1=88",
"88-18=70"
] | Current State: 70:[54, 36, 1, 89], Operations: []
Exploring Operation: 54-36=18, Resulting Numbers: [1, 89, 18]
Generated Node #2: [1, 89, 18] from Operation: 54-36=18
Current State: 70:[1, 89, 18], Operations: ['54-36=18']
Exploring Operation: 89-1=88, Resulting Numbers: [18, 88]
Generated Node #3: [18, 88] from Operation: 89-1=88
Current State: 70:[18, 88], Operations: ['54-36=18', '89-1=88']
Exploring Operation: 88-18=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
43,
41,
1,
42
] | 20 | [
"43-41=2",
"42/2=21",
"21-1=20"
] | Current State: 20:[43, 41, 1, 42], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [1, 42, 2]
Generated Node #2: [1, 42, 2] from Operation: 43-41=2
Current State: 20:[1, 42, 2], Operations: ['43-41=2']
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 42/2=21
Current State: 20:[1, 21], Operations: ['43-41=2', '42/2=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
32,
65,
11
] | 60 | [
"32/2=16",
"65+11=76",
"76-16=60"
] | Current State: 60:[2, 32, 65, 11], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [65, 11, 16]
Generated Node #2: [65, 11, 16] from Operation: 32/2=16
Current State: 60:[65, 11, 16], Operations: ['32/2=16']
Exploring Operation: 65+11=76, Resulting Numbers: [16, 76]
Generated Node #3: [16, 76] from Operation: 65+11=76
Current State: 60:[16, 76], Operations: ['32/2=16', '65+11=76']
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
18,
11,
16,
92
] | 90 | [
"18*11=198",
"16+92=108",
"198-108=90"
] | Current State: 90:[18, 11, 16, 92], Operations: []
Exploring Operation: 18*11=198, Resulting Numbers: [16, 92, 198]
Generated Node #2: [16, 92, 198] from Operation: 18*11=198
Current State: 90:[16, 92, 198], Operations: ['18*11=198']
Exploring Operation: 16+92=108, Resulting Numbers: [198, 108]
Generated Node #3: [198, 108] from Operation: 16+92=108
Current State: 90:[198, 108], Operations: ['18*11=198', '16+92=108']
Exploring Operation: 198-108=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
64,
19,
80,
45
] | 17 | [
"64*45=2880",
"2880/80=36",
"36-19=17"
] | Current State: 17:[64, 19, 80, 45], Operations: []
Exploring Operation: 64*45=2880, Resulting Numbers: [19, 80, 2880]
Generated Node #2: [19, 80, 2880] from Operation: 64*45=2880
Current State: 17:[19, 80, 2880], Operations: ['64*45=2880']
Exploring Operation: 2880/80=36, Resulting Numbers: [19, 36]
Generated Node #3: [19, 36] from Operation: 2880/80=36
Current State: 17:[19, 36], Operations: ['64*45=2880', '2880/80=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
28,
7,
45,
24
] | 56 | [
"28+7=35",
"45-24=21",
"35+21=56"
] | Current State: 56:[28, 7, 45, 24], Operations: []
Exploring Operation: 28+7=35, Resulting Numbers: [45, 24, 35]
Generated Node #2: [45, 24, 35] from Operation: 28+7=35
Current State: 56:[45, 24, 35], Operations: ['28+7=35']
Exploring Operation: 45-24=21, Resulting Numbers: [35, 21]
Generated Node #3: [35, 21] from Operation: 45-24=21
Current State: 56:[35, 21], Operations: ['28+7=35', '45-24=21']
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
4,
7,
29,
98
] | 85 | [
"4*98=392",
"392/7=56",
"29+56=85"
] | Current State: 85:[4, 7, 29, 98], Operations: []
Exploring Operation: 4*98=392, Resulting Numbers: [7, 29, 392]
Generated Node #2: [7, 29, 392] from Operation: 4*98=392
Current State: 85:[7, 29, 392], Operations: ['4*98=392']
Exploring Operation: 392/7=56, Resulting Numbers: [29, 56]
Generated Node #3: [29, 56] from Operation: 392/7=56
Current State: 85:[29, 56], Operations: ['4*98=392', '392/7=56']
Exploring Operation: 29+56=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
79,
2,
36,
51
] | 47 | [
"79-36=43",
"51+43=94",
"94/2=47"
] | Current State: 47:[79, 2, 36, 51], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [2, 51, 43]
Generated Node #2: [2, 51, 43] from Operation: 79-36=43
Current State: 47:[2, 51, 43], Operations: ['79-36=43']
Exploring Operation: 51+43=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 51+43=94
Current State: 47:[2, 94], Operations: ['79-36=43', '51+43=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
46,
22,
54,
28
] | 55 | [
"28-22=6",
"54/6=9",
"46+9=55"
] | Current State: 55:[46, 22, 54, 28], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [46, 54, 6]
Generated Node #2: [46, 54, 6] from Operation: 28-22=6
Current State: 55:[46, 54, 6], Operations: ['28-22=6']
Exploring Operation: 54/6=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 54/6=9
Current State: 55:[46, 9], Operations: ['28-22=6', '54/6=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
8,
41,
17,
33
] | 49 | [
"41-8=33",
"33-17=16",
"33+16=49"
] | Current State: 49:[8, 41, 17, 33], Operations: []
Exploring Operation: 41-8=33, Resulting Numbers: [17, 33, 33]
Generated Node #2: [17, 33, 33] from Operation: 41-8=33
Current State: 49:[17, 33, 33], Operations: ['41-8=33']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,49 equal: Goal Reached
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
58,
75,
99,
87
] | 16 | [
"99-75=24",
"58*24=1392",
"1392/87=16"
] | Current State: 16:[58, 75, 99, 87], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [58, 87, 24]
Generated Node #2: [58, 87, 24] from Operation: 99-75=24
Current State: 16:[58, 87, 24], Operations: ['99-75=24']
Exploring Operation: 58*24=1392, Resulting Numbers: [87, 1392]
Generated Node #3: [87, 1392] from Operation: 58*24=1392
Current State: 16:[87, 1392], Operations: ['99-75=24', '58*24=1392']
Exploring Operation: 1392/87=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
61,
49,
27,
93
] | 44 | [
"61+49=110",
"93-27=66",
"110-66=44"
] | Current State: 44:[61, 49, 27, 93], Operations: []
Exploring Operation: 61+49=110, Resulting Numbers: [27, 93, 110]
Generated Node #2: [27, 93, 110] from Operation: 61+49=110
Current State: 44:[27, 93, 110], Operations: ['61+49=110']
Exploring Operation: 93-27=66, Resulting Numbers: [110, 66]
Generated Node #3: [110, 66] from Operation: 93-27=66
Current State: 44:[110, 66], Operations: ['61+49=110', '93-27=66']
Exploring Operation: 110-66=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
35,
84,
2,
46
] | 78 | [
"35+46=81",
"2*81=162",
"162-84=78"
] | Current State: 78:[35, 84, 2, 46], Operations: []
Exploring Operation: 35+46=81, Resulting Numbers: [84, 2, 81]
Generated Node #2: [84, 2, 81] from Operation: 35+46=81
Current State: 78:[84, 2, 81], Operations: ['35+46=81']
Exploring Operation: 2*81=162, Resulting Numbers: [84, 162]
Generated Node #3: [84, 162] from Operation: 2*81=162
Current State: 78:[84, 162], Operations: ['35+46=81', '2*81=162']
Exploring Operation: 162-84=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
80,
9,
52,
76
] | 39 | [
"80+9=89",
"52+76=128",
"128-89=39"
] | Current State: 39:[80, 9, 52, 76], Operations: []
Exploring Operation: 80+9=89, Resulting Numbers: [52, 76, 89]
Generated Node #2: [52, 76, 89] from Operation: 80+9=89
Current State: 39:[52, 76, 89], Operations: ['80+9=89']
Exploring Operation: 52+76=128, Resulting Numbers: [89, 128]
Generated Node #3: [89, 128] from Operation: 52+76=128
Current State: 39:[89, 128], Operations: ['80+9=89', '52+76=128']
Exploring Operation: 128-89=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
12,
69,
25,
81
] | 26 | [
"12+69=81",
"81/81=1",
"25+1=26"
] | Current State: 26:[12, 69, 25, 81], Operations: []
Exploring Operation: 12+69=81, Resulting Numbers: [25, 81, 81]
Generated Node #2: [25, 81, 81] from Operation: 12+69=81
Current State: 26:[25, 81, 81], Operations: ['12+69=81']
Exploring Operation: 81/81=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 81/81=1
Current State: 26:[25, 1], Operations: ['12+69=81', '81/81=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
48,
54,
11,
81
] | 21 | [
"48*54=2592",
"2592/81=32",
"32-11=21"
] | Current State: 21:[48, 54, 11, 81], Operations: []
Exploring Operation: 48*54=2592, Resulting Numbers: [11, 81, 2592]
Generated Node #2: [11, 81, 2592] from Operation: 48*54=2592
Current State: 21:[11, 81, 2592], Operations: ['48*54=2592']
Exploring Operation: 2592/81=32, Resulting Numbers: [11, 32]
Generated Node #3: [11, 32] from Operation: 2592/81=32
Current State: 21:[11, 32], Operations: ['48*54=2592', '2592/81=32']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
22,
41,
18,
39
] | 26 | [
"41-39=2",
"22*2=44",
"44-18=26"
] | Current State: 26:[22, 41, 18, 39], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [22, 18, 2]
Generated Node #2: [22, 18, 2] from Operation: 41-39=2
Current State: 26:[22, 18, 2], Operations: ['41-39=2']
Exploring Operation: 22*2=44, Resulting Numbers: [18, 44]
Generated Node #3: [18, 44] from Operation: 22*2=44
Current State: 26:[18, 44], Operations: ['41-39=2', '22*2=44']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
17,
56,
89,
2
] | 14 | [
"17+56=73",
"89-2=87",
"87-73=14"
] | Current State: 14:[17, 56, 89, 2], Operations: []
Exploring Operation: 17+56=73, Resulting Numbers: [89, 2, 73]
Generated Node #2: [89, 2, 73] from Operation: 17+56=73
Current State: 14:[89, 2, 73], Operations: ['17+56=73']
Exploring Operation: 89-2=87, Resulting Numbers: [73, 87]
Generated Node #3: [73, 87] from Operation: 89-2=87
Current State: 14:[73, 87], Operations: ['17+56=73', '89-2=87']
Exploring Operation: 87-73=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
48,
8,
11,
9
] | 54 | [
"48+8=56",
"11-9=2",
"56-2=54"
] | Current State: 54:[48, 8, 11, 9], Operations: []
Exploring Operation: 48+8=56, Resulting Numbers: [11, 9, 56]
Generated Node #2: [11, 9, 56] from Operation: 48+8=56
Current State: 54:[11, 9, 56], Operations: ['48+8=56']
Exploring Operation: 11-9=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 11-9=2
Current State: 54:[56, 2], Operations: ['48+8=56', '11-9=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
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