nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
30,
88,
63,
83
] | 28 | [
"30+88=118",
"63+83=146",
"146-118=28"
] | Current State: 28:[30, 88, 63, 83], Operations: []
Exploring Operation: 30+88=118, Resulting Numbers: [63, 83, 118]
Generated Node #2: [63, 83, 118] from Operation: 30+88=118
Current State: 28:[63, 83, 118], Operations: ['30+88=118']
Exploring Operation: 63+83=146, Resulting Numbers: [118, 146]
Generated Node #3: [118, 146] from Operation: 63+83=146
Current State: 28:[118, 146], Operations: ['30+88=118', '63+83=146']
Exploring Operation: 146-118=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
53,
75,
96,
50
] | 68 | [
"75-53=22",
"96-50=46",
"22+46=68"
] | Current State: 68:[53, 75, 96, 50], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [96, 50, 22]
Generated Node #2: [96, 50, 22] from Operation: 75-53=22
Current State: 68:[96, 50, 22], Operations: ['75-53=22']
Exploring Operation: 96-50=46, Resulting Numbers: [22, 46]
Generated Node #3: [22, 46] from Operation: 96-50=46
Current State: 68:[22, 46], Operations: ['75-53=22', '96-50=46']
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
62,
6,
7,
56
] | 36 | [
"62-56=6",
"6*7=42",
"42-6=36"
] | Current State: 36:[62, 6, 7, 56], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [6, 7, 6]
Generated Node #2: [6, 7, 6] from Operation: 62-56=6
Current State: 36:[6, 7, 6], Operations: ['62-56=6']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,36 equal: Goal Reached
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
30,
57,
86
] | 30 | [
"29+30=59",
"86-57=29",
"59-29=30"
] | Current State: 30:[29, 30, 57, 86], Operations: []
Exploring Operation: 29+30=59, Resulting Numbers: [57, 86, 59]
Generated Node #2: [57, 86, 59] from Operation: 29+30=59
Current State: 30:[57, 86, 59], Operations: ['29+30=59']
Exploring Operation: 86-57=29, Resulting Numbers: [59, 29]
Generated Node #3: [59, 29] from Operation: 86-57=29
Current State: 30:[59, 29], Operations: ['29+30=59', '86-57=29']
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
40,
1,
65,
25
] | 40 | [
"65-1=64",
"25*64=1600",
"1600/40=40"
] | Current State: 40:[40, 1, 65, 25], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [40, 25, 64]
Generated Node #2: [40, 25, 64] from Operation: 65-1=64
Current State: 40:[40, 25, 64], Operations: ['65-1=64']
Exploring Operation: 25*64=1600, Resulting Numbers: [40, 1600]
Generated Node #3: [40, 1600] from Operation: 25*64=1600
Current State: 40:[40, 1600], Operations: ['65-1=64', '25*64=1600']
Exploring Operation: 1600/40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
8,
27,
68,
66
] | 99 | [
"8+27=35",
"68+66=134",
"134-35=99"
] | Current State: 99:[8, 27, 68, 66], Operations: []
Exploring Operation: 8+27=35, Resulting Numbers: [68, 66, 35]
Generated Node #2: [68, 66, 35] from Operation: 8+27=35
Current State: 99:[68, 66, 35], Operations: ['8+27=35']
Exploring Operation: 68+66=134, Resulting Numbers: [35, 134]
Generated Node #3: [35, 134] from Operation: 68+66=134
Current State: 99:[35, 134], Operations: ['8+27=35', '68+66=134']
Exploring Operation: 134-35=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
76,
27,
8,
82
] | 54 | [
"76+8=84",
"84-82=2",
"27*2=54"
] | Current State: 54:[76, 27, 8, 82], Operations: []
Exploring Operation: 76+8=84, Resulting Numbers: [27, 82, 84]
Generated Node #2: [27, 82, 84] from Operation: 76+8=84
Current State: 54:[27, 82, 84], Operations: ['76+8=84']
Exploring Operation: 84-82=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 84-82=2
Current State: 54:[27, 2], Operations: ['76+8=84', '84-82=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
29,
1,
98,
94
] | 32 | [
"29-1=28",
"98-94=4",
"28+4=32"
] | Current State: 32:[29, 1, 98, 94], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [98, 94, 28]
Generated Node #2: [98, 94, 28] from Operation: 29-1=28
Current State: 32:[98, 94, 28], Operations: ['29-1=28']
Exploring Operation: 98-94=4, Resulting Numbers: [28, 4]
Generated Node #3: [28, 4] from Operation: 98-94=4
Current State: 32:[28, 4], Operations: ['29-1=28', '98-94=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
39,
87,
47,
37
] | 80 | [
"39-37=2",
"87-47=40",
"2*40=80"
] | Current State: 80:[39, 87, 47, 37], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [87, 47, 2]
Generated Node #2: [87, 47, 2] from Operation: 39-37=2
Current State: 80:[87, 47, 2], Operations: ['39-37=2']
Exploring Operation: 87-47=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 87-47=40
Current State: 80:[2, 40], Operations: ['39-37=2', '87-47=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
20,
22,
18,
60
] | 84 | [
"20+22=42",
"60-18=42",
"42+42=84"
] | Current State: 84:[20, 22, 18, 60], Operations: []
Exploring Operation: 20+22=42, Resulting Numbers: [18, 60, 42]
Generated Node #2: [18, 60, 42] from Operation: 20+22=42
Current State: 84:[18, 60, 42], Operations: ['20+22=42']
Exploring Operation: 60-18=42, Resulting Numbers: [42, 42]
Generated Node #3: [42, 42] from Operation: 60-18=42
Current State: 84:[42, 42], Operations: ['20+22=42', '60-18=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
89,
12,
76,
53
] | 53 | [
"89-12=77",
"77-76=1",
"53*1=53"
] | Current State: 53:[89, 12, 76, 53], Operations: []
Exploring Operation: 89-12=77, Resulting Numbers: [76, 53, 77]
Generated Node #2: [76, 53, 77] from Operation: 89-12=77
Current State: 53:[76, 53, 77], Operations: ['89-12=77']
Exploring Operation: 77-76=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 77-76=1
Current State: 53:[53, 1], Operations: ['89-12=77', '77-76=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
34,
7,
40,
97
] | 97 | [
"34+7=41",
"41-40=1",
"97*1=97"
] | Current State: 97:[34, 7, 40, 97], Operations: []
Exploring Operation: 34+7=41, Resulting Numbers: [40, 97, 41]
Generated Node #2: [40, 97, 41] from Operation: 34+7=41
Current State: 97:[40, 97, 41], Operations: ['34+7=41']
Exploring Operation: 41-40=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 41-40=1
Current State: 97:[97, 1], Operations: ['34+7=41', '41-40=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
80,
3,
92
] | 76 | [
"4*80=320",
"320-92=228",
"228/3=76"
] | Current State: 76:[4, 80, 3, 92], Operations: []
Exploring Operation: 4*80=320, Resulting Numbers: [3, 92, 320]
Generated Node #2: [3, 92, 320] from Operation: 4*80=320
Current State: 76:[3, 92, 320], Operations: ['4*80=320']
Exploring Operation: 320-92=228, Resulting Numbers: [3, 228]
Generated Node #3: [3, 228] from Operation: 320-92=228
Current State: 76:[3, 228], Operations: ['4*80=320', '320-92=228']
Exploring Operation: 228/3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
36,
88,
39,
95
] | 12 | [
"36*95=3420",
"88*39=3432",
"3432-3420=12"
] | Current State: 12:[36, 88, 39, 95], Operations: []
Exploring Operation: 36*95=3420, Resulting Numbers: [88, 39, 3420]
Generated Node #2: [88, 39, 3420] from Operation: 36*95=3420
Current State: 12:[88, 39, 3420], Operations: ['36*95=3420']
Exploring Operation: 88*39=3432, Resulting Numbers: [3420, 3432]
Generated Node #3: [3420, 3432] from Operation: 88*39=3432
Current State: 12:[3420, 3432], Operations: ['36*95=3420', '88*39=3432']
Exploring Operation: 3432-3420=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
63,
21,
17,
22
] | 29 | [
"63/21=3",
"17*3=51",
"51-22=29"
] | Current State: 29:[63, 21, 17, 22], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [17, 22, 3]
Generated Node #2: [17, 22, 3] from Operation: 63/21=3
Current State: 29:[17, 22, 3], Operations: ['63/21=3']
Exploring Operation: 17*3=51, Resulting Numbers: [22, 51]
Generated Node #3: [22, 51] from Operation: 17*3=51
Current State: 29:[22, 51], Operations: ['63/21=3', '17*3=51']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
58,
88,
61,
37
] | 98 | [
"58*61=3538",
"88+3538=3626",
"3626/37=98"
] | Current State: 98:[58, 88, 61, 37], Operations: []
Exploring Operation: 58*61=3538, Resulting Numbers: [88, 37, 3538]
Generated Node #2: [88, 37, 3538] from Operation: 58*61=3538
Current State: 98:[88, 37, 3538], Operations: ['58*61=3538']
Exploring Operation: 88+3538=3626, Resulting Numbers: [37, 3626]
Generated Node #3: [37, 3626] from Operation: 88+3538=3626
Current State: 98:[37, 3626], Operations: ['58*61=3538', '88+3538=3626']
Exploring Operation: 3626/37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
76,
15,
68,
48
] | 71 | [
"76+15=91",
"68-48=20",
"91-20=71"
] | Current State: 71:[76, 15, 68, 48], Operations: []
Exploring Operation: 76+15=91, Resulting Numbers: [68, 48, 91]
Generated Node #2: [68, 48, 91] from Operation: 76+15=91
Current State: 71:[68, 48, 91], Operations: ['76+15=91']
Exploring Operation: 68-48=20, Resulting Numbers: [91, 20]
Generated Node #3: [91, 20] from Operation: 68-48=20
Current State: 71:[91, 20], Operations: ['76+15=91', '68-48=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
74,
37,
72,
6
] | 76 | [
"74/37=2",
"72+6=78",
"78-2=76"
] | Current State: 76:[74, 37, 72, 6], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [72, 6, 2]
Generated Node #2: [72, 6, 2] from Operation: 74/37=2
Current State: 76:[72, 6, 2], Operations: ['74/37=2']
Exploring Operation: 72+6=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 72+6=78
Current State: 76:[2, 78], Operations: ['74/37=2', '72+6=78']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
1,
90,
22,
41
] | 70 | [
"90-1=89",
"41-22=19",
"89-19=70"
] | Current State: 70:[1, 90, 22, 41], Operations: []
Exploring Operation: 90-1=89, Resulting Numbers: [22, 41, 89]
Generated Node #2: [22, 41, 89] from Operation: 90-1=89
Current State: 70:[22, 41, 89], Operations: ['90-1=89']
Exploring Operation: 41-22=19, Resulting Numbers: [89, 19]
Generated Node #3: [89, 19] from Operation: 41-22=19
Current State: 70:[89, 19], Operations: ['90-1=89', '41-22=19']
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
80,
64,
26,
78
] | 45 | [
"80-78=2",
"64+26=90",
"90/2=45"
] | Current State: 45:[80, 64, 26, 78], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [64, 26, 2]
Generated Node #2: [64, 26, 2] from Operation: 80-78=2
Current State: 45:[64, 26, 2], Operations: ['80-78=2']
Exploring Operation: 64+26=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 64+26=90
Current State: 45:[2, 90], Operations: ['80-78=2', '64+26=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
43,
17,
88,
40
] | 22 | [
"43-17=26",
"88-40=48",
"48-26=22"
] | Current State: 22:[43, 17, 88, 40], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [88, 40, 26]
Generated Node #2: [88, 40, 26] from Operation: 43-17=26
Current State: 22:[88, 40, 26], Operations: ['43-17=26']
Exploring Operation: 88-40=48, Resulting Numbers: [26, 48]
Generated Node #3: [26, 48] from Operation: 88-40=48
Current State: 22:[26, 48], Operations: ['43-17=26', '88-40=48']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
47,
11,
83,
34
] | 36 | [
"11+83=94",
"94/47=2",
"34+2=36"
] | Current State: 36:[47, 11, 83, 34], Operations: []
Exploring Operation: 11+83=94, Resulting Numbers: [47, 34, 94]
Generated Node #2: [47, 34, 94] from Operation: 11+83=94
Current State: 36:[47, 34, 94], Operations: ['11+83=94']
Exploring Operation: 94/47=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 94/47=2
Current State: 36:[34, 2], Operations: ['11+83=94', '94/47=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
1,
27,
65,
3
] | 35 | [
"1*27=27",
"65-3=62",
"62-27=35"
] | Current State: 35:[1, 27, 65, 3], Operations: []
Exploring Operation: 1*27=27, Resulting Numbers: [65, 3, 27]
Generated Node #2: [65, 3, 27] from Operation: 1*27=27
Current State: 35:[65, 3, 27], Operations: ['1*27=27']
Exploring Operation: 65-3=62, Resulting Numbers: [27, 62]
Generated Node #3: [27, 62] from Operation: 65-3=62
Current State: 35:[27, 62], Operations: ['1*27=27', '65-3=62']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
82,
27,
54,
46
] | 59 | [
"54/27=2",
"46/2=23",
"82-23=59"
] | Current State: 59:[82, 27, 54, 46], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [82, 46, 2]
Generated Node #2: [82, 46, 2] from Operation: 54/27=2
Current State: 59:[82, 46, 2], Operations: ['54/27=2']
Exploring Operation: 46/2=23, Resulting Numbers: [82, 23]
Generated Node #3: [82, 23] from Operation: 46/2=23
Current State: 59:[82, 23], Operations: ['54/27=2', '46/2=23']
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
10,
17,
49
] | 85 | [
"17-10=7",
"49/7=7",
"78+7=85"
] | Current State: 85:[78, 10, 17, 49], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [78, 49, 7]
Generated Node #2: [78, 49, 7] from Operation: 17-10=7
Current State: 85:[78, 49, 7], Operations: ['17-10=7']
Exploring Operation: 49/7=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 49/7=7
Current State: 85:[78, 7], Operations: ['17-10=7', '49/7=7']
Exploring Operation: 78+7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
60,
56,
5
] | 69 | [
"13*5=65",
"60-56=4",
"65+4=69"
] | Current State: 69:[13, 60, 56, 5], Operations: []
Exploring Operation: 13*5=65, Resulting Numbers: [60, 56, 65]
Generated Node #2: [60, 56, 65] from Operation: 13*5=65
Current State: 69:[60, 56, 65], Operations: ['13*5=65']
Exploring Operation: 60-56=4, Resulting Numbers: [65, 4]
Generated Node #3: [65, 4] from Operation: 60-56=4
Current State: 69:[65, 4], Operations: ['13*5=65', '60-56=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
5,
7,
43,
52
] | 97 | [
"7-5=2",
"43+52=95",
"2+95=97"
] | Current State: 97:[5, 7, 43, 52], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [43, 52, 2]
Generated Node #2: [43, 52, 2] from Operation: 7-5=2
Current State: 97:[43, 52, 2], Operations: ['7-5=2']
Exploring Operation: 43+52=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 43+52=95
Current State: 97:[2, 95], Operations: ['7-5=2', '43+52=95']
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
25,
2,
48,
76
] | 87 | [
"48+76=124",
"124/2=62",
"25+62=87"
] | Current State: 87:[25, 2, 48, 76], Operations: []
Exploring Operation: 48+76=124, Resulting Numbers: [25, 2, 124]
Generated Node #2: [25, 2, 124] from Operation: 48+76=124
Current State: 87:[25, 2, 124], Operations: ['48+76=124']
Exploring Operation: 124/2=62, Resulting Numbers: [25, 62]
Generated Node #3: [25, 62] from Operation: 124/2=62
Current State: 87:[25, 62], Operations: ['48+76=124', '124/2=62']
Exploring Operation: 25+62=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
2,
33,
61,
73
] | 100 | [
"61+73=134",
"134/2=67",
"33+67=100"
] | Current State: 100:[2, 33, 61, 73], Operations: []
Exploring Operation: 61+73=134, Resulting Numbers: [2, 33, 134]
Generated Node #2: [2, 33, 134] from Operation: 61+73=134
Current State: 100:[2, 33, 134], Operations: ['61+73=134']
Exploring Operation: 134/2=67, Resulting Numbers: [33, 67]
Generated Node #3: [33, 67] from Operation: 134/2=67
Current State: 100:[33, 67], Operations: ['61+73=134', '134/2=67']
Exploring Operation: 33+67=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
89,
92,
64,
79
] | 45 | [
"92-89=3",
"79-64=15",
"3*15=45"
] | Current State: 45:[89, 92, 64, 79], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [64, 79, 3]
Generated Node #2: [64, 79, 3] from Operation: 92-89=3
Current State: 45:[64, 79, 3], Operations: ['92-89=3']
Exploring Operation: 79-64=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 79-64=15
Current State: 45:[3, 15], Operations: ['92-89=3', '79-64=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
25,
44,
45,
50
] | 25 | [
"50-25=25",
"45-44=1",
"25*1=25"
] | Current State: 25:[25, 44, 45, 50], Operations: []
Exploring Operation: 50-25=25, Resulting Numbers: [44, 45, 25]
Generated Node #2: [44, 45, 25] from Operation: 50-25=25
Current State: 25:[44, 45, 25], Operations: ['50-25=25']
Exploring Operation: 45-44=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 45-44=1
Current State: 25:[25, 1], Operations: ['50-25=25', '45-44=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
74,
18,
36,
1
] | 92 | [
"74-18=56",
"36*1=36",
"56+36=92"
] | Current State: 92:[74, 18, 36, 1], Operations: []
Exploring Operation: 74-18=56, Resulting Numbers: [36, 1, 56]
Generated Node #2: [36, 1, 56] from Operation: 74-18=56
Current State: 92:[36, 1, 56], Operations: ['74-18=56']
Exploring Operation: 36*1=36, Resulting Numbers: [56, 36]
Generated Node #3: [56, 36] from Operation: 36*1=36
Current State: 92:[56, 36], Operations: ['74-18=56', '36*1=36']
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
73,
19,
21,
83
] | 20 | [
"83-73=10",
"21-19=2",
"10*2=20"
] | Current State: 20:[73, 19, 21, 83], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [19, 21, 10]
Generated Node #2: [19, 21, 10] from Operation: 83-73=10
Current State: 20:[19, 21, 10], Operations: ['83-73=10']
Exploring Operation: 21-19=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 21-19=2
Current State: 20:[10, 2], Operations: ['83-73=10', '21-19=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
73,
91,
29,
29
] | 17 | [
"91-73=18",
"29/29=1",
"18-1=17"
] | Current State: 17:[73, 91, 29, 29], Operations: []
Exploring Operation: 91-73=18, Resulting Numbers: [29, 29, 18]
Generated Node #2: [29, 29, 18] from Operation: 91-73=18
Current State: 17:[29, 29, 18], Operations: ['91-73=18']
Exploring Operation: 29/29=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 29/29=1
Current State: 17:[18, 1], Operations: ['91-73=18', '29/29=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
41,
12,
98,
14
] | 16 | [
"14-12=2",
"41*2=82",
"98-82=16"
] | Current State: 16:[41, 12, 98, 14], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [41, 98, 2]
Generated Node #2: [41, 98, 2] from Operation: 14-12=2
Current State: 16:[41, 98, 2], Operations: ['14-12=2']
Exploring Operation: 41*2=82, Resulting Numbers: [98, 82]
Generated Node #3: [98, 82] from Operation: 41*2=82
Current State: 16:[98, 82], Operations: ['14-12=2', '41*2=82']
Exploring Operation: 98-82=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
64,
8,
78,
62
] | 47 | [
"64-62=2",
"78/2=39",
"8+39=47"
] | Current State: 47:[64, 8, 78, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [8, 78, 2]
Generated Node #2: [8, 78, 2] from Operation: 64-62=2
Current State: 47:[8, 78, 2], Operations: ['64-62=2']
Exploring Operation: 78/2=39, Resulting Numbers: [8, 39]
Generated Node #3: [8, 39] from Operation: 78/2=39
Current State: 47:[8, 39], Operations: ['64-62=2', '78/2=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
25,
5,
92,
12
] | 84 | [
"25-5=20",
"92+12=104",
"104-20=84"
] | Current State: 84:[25, 5, 92, 12], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [92, 12, 20]
Generated Node #2: [92, 12, 20] from Operation: 25-5=20
Current State: 84:[92, 12, 20], Operations: ['25-5=20']
Exploring Operation: 92+12=104, Resulting Numbers: [20, 104]
Generated Node #3: [20, 104] from Operation: 92+12=104
Current State: 84:[20, 104], Operations: ['25-5=20', '92+12=104']
Exploring Operation: 104-20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
6,
62,
19,
12
] | 87 | [
"62-6=56",
"19+12=31",
"56+31=87"
] | Current State: 87:[6, 62, 19, 12], Operations: []
Exploring Operation: 62-6=56, Resulting Numbers: [19, 12, 56]
Generated Node #2: [19, 12, 56] from Operation: 62-6=56
Current State: 87:[19, 12, 56], Operations: ['62-6=56']
Exploring Operation: 19+12=31, Resulting Numbers: [56, 31]
Generated Node #3: [56, 31] from Operation: 19+12=31
Current State: 87:[56, 31], Operations: ['62-6=56', '19+12=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
6,
6,
18
] | 70 | [
"40+6=46",
"6+18=24",
"46+24=70"
] | Current State: 70:[40, 6, 6, 18], Operations: []
Exploring Operation: 40+6=46, Resulting Numbers: [18, 46]
Generated Node #2: [18, 46] from Operation: 40+6=46
Current State: 70:[18, 46], Operations: ['40+6=46']
Exploring Operation: 6+18=24, Resulting Numbers: [46, 24]
Generated Node #3: [46, 24] from Operation: 6+18=24
Current State: 70:[46, 24], Operations: ['40+6=46', '6+18=24']
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
2,
55,
77,
84
] | 19 | [
"84-55=29",
"2*29=58",
"77-58=19"
] | Current State: 19:[2, 55, 77, 84], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [2, 77, 29]
Generated Node #2: [2, 77, 29] from Operation: 84-55=29
Current State: 19:[2, 77, 29], Operations: ['84-55=29']
Exploring Operation: 2*29=58, Resulting Numbers: [77, 58]
Generated Node #3: [77, 58] from Operation: 2*29=58
Current State: 19:[77, 58], Operations: ['84-55=29', '2*29=58']
Exploring Operation: 77-58=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
63,
50,
73,
86
] | 100 | [
"63+50=113",
"86-73=13",
"113-13=100"
] | Current State: 100:[63, 50, 73, 86], Operations: []
Exploring Operation: 63+50=113, Resulting Numbers: [73, 86, 113]
Generated Node #2: [73, 86, 113] from Operation: 63+50=113
Current State: 100:[73, 86, 113], Operations: ['63+50=113']
Exploring Operation: 86-73=13, Resulting Numbers: [113, 13]
Generated Node #3: [113, 13] from Operation: 86-73=13
Current State: 100:[113, 13], Operations: ['63+50=113', '86-73=13']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
13,
45,
11,
96
] | 41 | [
"13+11=24",
"96/24=4",
"45-4=41"
] | Current State: 41:[13, 45, 11, 96], Operations: []
Exploring Operation: 13+11=24, Resulting Numbers: [45, 96, 24]
Generated Node #2: [45, 96, 24] from Operation: 13+11=24
Current State: 41:[45, 96, 24], Operations: ['13+11=24']
Exploring Operation: 96/24=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 96/24=4
Current State: 41:[45, 4], Operations: ['13+11=24', '96/24=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
51,
80,
51,
47
] | 71 | [
"51-47=4",
"80/4=20",
"51+20=71"
] | Current State: 71:[51, 80, 51, 47], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [80, 4]
Generated Node #2: [80, 4] from Operation: 51-47=4
Current State: 71:[80, 4], Operations: ['51-47=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,71 equal: Goal Reached
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
4,
35,
23,
25
] | 29 | [
"35-4=31",
"25-23=2",
"31-2=29"
] | Current State: 29:[4, 35, 23, 25], Operations: []
Exploring Operation: 35-4=31, Resulting Numbers: [23, 25, 31]
Generated Node #2: [23, 25, 31] from Operation: 35-4=31
Current State: 29:[23, 25, 31], Operations: ['35-4=31']
Exploring Operation: 25-23=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 25-23=2
Current State: 29:[31, 2], Operations: ['35-4=31', '25-23=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
13,
28,
90,
76
] | 98 | [
"28+76=104",
"104/13=8",
"90+8=98"
] | Current State: 98:[13, 28, 90, 76], Operations: []
Exploring Operation: 28+76=104, Resulting Numbers: [13, 90, 104]
Generated Node #2: [13, 90, 104] from Operation: 28+76=104
Current State: 98:[13, 90, 104], Operations: ['28+76=104']
Exploring Operation: 104/13=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 104/13=8
Current State: 98:[90, 8], Operations: ['28+76=104', '104/13=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
3,
34,
15
] | 58 | [
"15-7=8",
"3*8=24",
"34+24=58"
] | Current State: 58:[7, 3, 34, 15], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [3, 34, 8]
Generated Node #2: [3, 34, 8] from Operation: 15-7=8
Current State: 58:[3, 34, 8], Operations: ['15-7=8']
Exploring Operation: 3*8=24, Resulting Numbers: [34, 24]
Generated Node #3: [34, 24] from Operation: 3*8=24
Current State: 58:[34, 24], Operations: ['15-7=8', '3*8=24']
Exploring Operation: 34+24=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
74,
12,
65,
41
] | 76 | [
"65-41=24",
"24/12=2",
"74+2=76"
] | Current State: 76:[74, 12, 65, 41], Operations: []
Exploring Operation: 65-41=24, Resulting Numbers: [74, 12, 24]
Generated Node #2: [74, 12, 24] from Operation: 65-41=24
Current State: 76:[74, 12, 24], Operations: ['65-41=24']
Exploring Operation: 24/12=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 24/12=2
Current State: 76:[74, 2], Operations: ['65-41=24', '24/12=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
50,
47,
31,
68
] | 60 | [
"50+47=97",
"68-31=37",
"97-37=60"
] | Current State: 60:[50, 47, 31, 68], Operations: []
Exploring Operation: 50+47=97, Resulting Numbers: [31, 68, 97]
Generated Node #2: [31, 68, 97] from Operation: 50+47=97
Current State: 60:[31, 68, 97], Operations: ['50+47=97']
Exploring Operation: 68-31=37, Resulting Numbers: [97, 37]
Generated Node #3: [97, 37] from Operation: 68-31=37
Current State: 60:[97, 37], Operations: ['50+47=97', '68-31=37']
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
8,
65,
17,
70
] | 19 | [
"65+17=82",
"70+82=152",
"152/8=19"
] | Current State: 19:[8, 65, 17, 70], Operations: []
Exploring Operation: 65+17=82, Resulting Numbers: [8, 70, 82]
Generated Node #2: [8, 70, 82] from Operation: 65+17=82
Current State: 19:[8, 70, 82], Operations: ['65+17=82']
Exploring Operation: 70+82=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 70+82=152
Current State: 19:[8, 152], Operations: ['65+17=82', '70+82=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
54,
23,
38,
70
] | 25 | [
"38+70=108",
"108/54=2",
"23+2=25"
] | Current State: 25:[54, 23, 38, 70], Operations: []
Exploring Operation: 38+70=108, Resulting Numbers: [54, 23, 108]
Generated Node #2: [54, 23, 108] from Operation: 38+70=108
Current State: 25:[54, 23, 108], Operations: ['38+70=108']
Exploring Operation: 108/54=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 108/54=2
Current State: 25:[23, 2], Operations: ['38+70=108', '108/54=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
45,
48,
83
] | 55 | [
"2*45=90",
"83-48=35",
"90-35=55"
] | Current State: 55:[2, 45, 48, 83], Operations: []
Exploring Operation: 2*45=90, Resulting Numbers: [48, 83, 90]
Generated Node #2: [48, 83, 90] from Operation: 2*45=90
Current State: 55:[48, 83, 90], Operations: ['2*45=90']
Exploring Operation: 83-48=35, Resulting Numbers: [90, 35]
Generated Node #3: [90, 35] from Operation: 83-48=35
Current State: 55:[90, 35], Operations: ['2*45=90', '83-48=35']
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
61,
62,
7,
63
] | 38 | [
"63-61=2",
"62/2=31",
"7+31=38"
] | Current State: 38:[61, 62, 7, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [62, 7, 2]
Generated Node #2: [62, 7, 2] from Operation: 63-61=2
Current State: 38:[62, 7, 2], Operations: ['63-61=2']
Exploring Operation: 62/2=31, Resulting Numbers: [7, 31]
Generated Node #3: [7, 31] from Operation: 62/2=31
Current State: 38:[7, 31], Operations: ['63-61=2', '62/2=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
11,
93,
10,
88
] | 39 | [
"93-88=5",
"10*5=50",
"50-11=39"
] | Current State: 39:[11, 93, 10, 88], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [11, 10, 5]
Generated Node #2: [11, 10, 5] from Operation: 93-88=5
Current State: 39:[11, 10, 5], Operations: ['93-88=5']
Exploring Operation: 10*5=50, Resulting Numbers: [11, 50]
Generated Node #3: [11, 50] from Operation: 10*5=50
Current State: 39:[11, 50], Operations: ['93-88=5', '10*5=50']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
72,
73,
85,
53
] | 33 | [
"73-72=1",
"85-53=32",
"1+32=33"
] | Current State: 33:[72, 73, 85, 53], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [85, 53, 1]
Generated Node #2: [85, 53, 1] from Operation: 73-72=1
Current State: 33:[85, 53, 1], Operations: ['73-72=1']
Exploring Operation: 85-53=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 85-53=32
Current State: 33:[1, 32], Operations: ['73-72=1', '85-53=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
23,
51,
77,
80
] | 71 | [
"23+51=74",
"80-77=3",
"74-3=71"
] | Current State: 71:[23, 51, 77, 80], Operations: []
Exploring Operation: 23+51=74, Resulting Numbers: [77, 80, 74]
Generated Node #2: [77, 80, 74] from Operation: 23+51=74
Current State: 71:[77, 80, 74], Operations: ['23+51=74']
Exploring Operation: 80-77=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 80-77=3
Current State: 71:[74, 3], Operations: ['23+51=74', '80-77=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
84,
51,
16,
82
] | 70 | [
"84-82=2",
"51-16=35",
"2*35=70"
] | Current State: 70:[84, 51, 16, 82], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [51, 16, 2]
Generated Node #2: [51, 16, 2] from Operation: 84-82=2
Current State: 70:[51, 16, 2], Operations: ['84-82=2']
Exploring Operation: 51-16=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 51-16=35
Current State: 70:[2, 35], Operations: ['84-82=2', '51-16=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
98,
45,
13,
76
] | 65 | [
"98+45=143",
"143/13=11",
"76-11=65"
] | Current State: 65:[98, 45, 13, 76], Operations: []
Exploring Operation: 98+45=143, Resulting Numbers: [13, 76, 143]
Generated Node #2: [13, 76, 143] from Operation: 98+45=143
Current State: 65:[13, 76, 143], Operations: ['98+45=143']
Exploring Operation: 143/13=11, Resulting Numbers: [76, 11]
Generated Node #3: [76, 11] from Operation: 143/13=11
Current State: 65:[76, 11], Operations: ['98+45=143', '143/13=11']
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
72,
61,
10,
34
] | 35 | [
"72-61=11",
"34-10=24",
"11+24=35"
] | Current State: 35:[72, 61, 10, 34], Operations: []
Exploring Operation: 72-61=11, Resulting Numbers: [10, 34, 11]
Generated Node #2: [10, 34, 11] from Operation: 72-61=11
Current State: 35:[10, 34, 11], Operations: ['72-61=11']
Exploring Operation: 34-10=24, Resulting Numbers: [11, 24]
Generated Node #3: [11, 24] from Operation: 34-10=24
Current State: 35:[11, 24], Operations: ['72-61=11', '34-10=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
24,
87,
89,
41
] | 89 | [
"89-87=2",
"24*2=48",
"41+48=89"
] | Current State: 89:[24, 87, 89, 41], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [24, 41, 2]
Generated Node #2: [24, 41, 2] from Operation: 89-87=2
Current State: 89:[24, 41, 2], Operations: ['89-87=2']
Exploring Operation: 24*2=48, Resulting Numbers: [41, 48]
Generated Node #3: [41, 48] from Operation: 24*2=48
Current State: 89:[41, 48], Operations: ['89-87=2', '24*2=48']
Exploring Operation: 41+48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
65,
13,
26,
77
] | 11 | [
"65+26=91",
"13*77=1001",
"1001/91=11"
] | Current State: 11:[65, 13, 26, 77], Operations: []
Exploring Operation: 65+26=91, Resulting Numbers: [13, 77, 91]
Generated Node #2: [13, 77, 91] from Operation: 65+26=91
Current State: 11:[13, 77, 91], Operations: ['65+26=91']
Exploring Operation: 13*77=1001, Resulting Numbers: [91, 1001]
Generated Node #3: [91, 1001] from Operation: 13*77=1001
Current State: 11:[91, 1001], Operations: ['65+26=91', '13*77=1001']
Exploring Operation: 1001/91=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
58,
74,
79,
94
] | 31 | [
"74-58=16",
"94-79=15",
"16+15=31"
] | Current State: 31:[58, 74, 79, 94], Operations: []
Exploring Operation: 74-58=16, Resulting Numbers: [79, 94, 16]
Generated Node #2: [79, 94, 16] from Operation: 74-58=16
Current State: 31:[79, 94, 16], Operations: ['74-58=16']
Exploring Operation: 94-79=15, Resulting Numbers: [16, 15]
Generated Node #3: [16, 15] from Operation: 94-79=15
Current State: 31:[16, 15], Operations: ['74-58=16', '94-79=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
53,
2,
73,
54
] | 32 | [
"53-2=51",
"73-54=19",
"51-19=32"
] | Current State: 32:[53, 2, 73, 54], Operations: []
Exploring Operation: 53-2=51, Resulting Numbers: [73, 54, 51]
Generated Node #2: [73, 54, 51] from Operation: 53-2=51
Current State: 32:[73, 54, 51], Operations: ['53-2=51']
Exploring Operation: 73-54=19, Resulting Numbers: [51, 19]
Generated Node #3: [51, 19] from Operation: 73-54=19
Current State: 32:[51, 19], Operations: ['53-2=51', '73-54=19']
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
64,
74,
85,
93
] | 66 | [
"93-85=8",
"64/8=8",
"74-8=66"
] | Current State: 66:[64, 74, 85, 93], Operations: []
Exploring Operation: 93-85=8, Resulting Numbers: [64, 74, 8]
Generated Node #2: [64, 74, 8] from Operation: 93-85=8
Current State: 66:[64, 74, 8], Operations: ['93-85=8']
Exploring Operation: 64/8=8, Resulting Numbers: [74, 8]
Generated Node #3: [74, 8] from Operation: 64/8=8
Current State: 66:[74, 8], Operations: ['93-85=8', '64/8=8']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
35,
4,
53,
67
] | 84 | [
"35+53=88",
"88-67=21",
"4*21=84"
] | Current State: 84:[35, 4, 53, 67], Operations: []
Exploring Operation: 35+53=88, Resulting Numbers: [4, 67, 88]
Generated Node #2: [4, 67, 88] from Operation: 35+53=88
Current State: 84:[4, 67, 88], Operations: ['35+53=88']
Exploring Operation: 88-67=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 88-67=21
Current State: 84:[4, 21], Operations: ['35+53=88', '88-67=21']
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
9,
87,
99,
5
] | 71 | [
"99/9=11",
"87-5=82",
"82-11=71"
] | Current State: 71:[9, 87, 99, 5], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [87, 5, 11]
Generated Node #2: [87, 5, 11] from Operation: 99/9=11
Current State: 71:[87, 5, 11], Operations: ['99/9=11']
Exploring Operation: 87-5=82, Resulting Numbers: [11, 82]
Generated Node #3: [11, 82] from Operation: 87-5=82
Current State: 71:[11, 82], Operations: ['99/9=11', '87-5=82']
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
57,
95,
5,
74
] | 41 | [
"95-57=38",
"5+74=79",
"79-38=41"
] | Current State: 41:[57, 95, 5, 74], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [5, 74, 38]
Generated Node #2: [5, 74, 38] from Operation: 95-57=38
Current State: 41:[5, 74, 38], Operations: ['95-57=38']
Exploring Operation: 5+74=79, Resulting Numbers: [38, 79]
Generated Node #3: [38, 79] from Operation: 5+74=79
Current State: 41:[38, 79], Operations: ['95-57=38', '5+74=79']
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
89,
82,
10,
76
] | 29 | [
"82-76=6",
"10*6=60",
"89-60=29"
] | Current State: 29:[89, 82, 10, 76], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [89, 10, 6]
Generated Node #2: [89, 10, 6] from Operation: 82-76=6
Current State: 29:[89, 10, 6], Operations: ['82-76=6']
Exploring Operation: 10*6=60, Resulting Numbers: [89, 60]
Generated Node #3: [89, 60] from Operation: 10*6=60
Current State: 29:[89, 60], Operations: ['82-76=6', '10*6=60']
Exploring Operation: 89-60=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
32,
61,
37,
38
] | 29 | [
"61-32=29",
"38-37=1",
"29*1=29"
] | Current State: 29:[32, 61, 37, 38], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [37, 38, 29]
Generated Node #2: [37, 38, 29] from Operation: 61-32=29
Current State: 29:[37, 38, 29], Operations: ['61-32=29']
Exploring Operation: 38-37=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 38-37=1
Current State: 29:[29, 1], Operations: ['61-32=29', '38-37=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
13,
63,
78,
47
] | 26 | [
"63-13=50",
"50-47=3",
"78/3=26"
] | Current State: 26:[13, 63, 78, 47], Operations: []
Exploring Operation: 63-13=50, Resulting Numbers: [78, 47, 50]
Generated Node #2: [78, 47, 50] from Operation: 63-13=50
Current State: 26:[78, 47, 50], Operations: ['63-13=50']
Exploring Operation: 50-47=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 50-47=3
Current State: 26:[78, 3], Operations: ['63-13=50', '50-47=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
96,
19,
32,
2
] | 20 | [
"96/32=3",
"19-2=17",
"3+17=20"
] | Current State: 20:[96, 19, 32, 2], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [19, 2, 3]
Generated Node #2: [19, 2, 3] from Operation: 96/32=3
Current State: 20:[19, 2, 3], Operations: ['96/32=3']
Exploring Operation: 19-2=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 19-2=17
Current State: 20:[3, 17], Operations: ['96/32=3', '19-2=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
31,
31,
69,
40
] | 29 | [
"31-31=0",
"69-40=29",
"0+29=29"
] | Current State: 29:[31, 31, 69, 40], Operations: []
Exploring Operation: 31-31=0, Resulting Numbers: [69, 40, 0]
Generated Node #2: [69, 40, 0] from Operation: 31-31=0
Current State: 29:[69, 40, 0], Operations: ['31-31=0']
Exploring Operation: 69-40=29, Resulting Numbers: [0, 29]
Generated Node #3: [0, 29] from Operation: 69-40=29
Current State: 29:[0, 29], Operations: ['31-31=0', '69-40=29']
Exploring Operation: 0+29=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
79,
32,
17,
16
] | 13 | [
"79+17=96",
"96/32=3",
"16-3=13"
] | Current State: 13:[79, 32, 17, 16], Operations: []
Exploring Operation: 79+17=96, Resulting Numbers: [32, 16, 96]
Generated Node #2: [32, 16, 96] from Operation: 79+17=96
Current State: 13:[32, 16, 96], Operations: ['79+17=96']
Exploring Operation: 96/32=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 96/32=3
Current State: 13:[16, 3], Operations: ['79+17=96', '96/32=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
30,
70,
31,
10
] | 60 | [
"31-30=1",
"70-10=60",
"1*60=60"
] | Current State: 60:[30, 70, 31, 10], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [70, 10, 1]
Generated Node #2: [70, 10, 1] from Operation: 31-30=1
Current State: 60:[70, 10, 1], Operations: ['31-30=1']
Exploring Operation: 70-10=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 70-10=60
Current State: 60:[1, 60], Operations: ['31-30=1', '70-10=60']
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
42,
86,
7,
6
] | 57 | [
"86-42=44",
"7+6=13",
"44+13=57"
] | Current State: 57:[42, 86, 7, 6], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [7, 6, 44]
Generated Node #2: [7, 6, 44] from Operation: 86-42=44
Current State: 57:[7, 6, 44], Operations: ['86-42=44']
Exploring Operation: 7+6=13, Resulting Numbers: [44, 13]
Generated Node #3: [44, 13] from Operation: 7+6=13
Current State: 57:[44, 13], Operations: ['86-42=44', '7+6=13']
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
47,
19,
12,
7
] | 14 | [
"47-12=35",
"35/7=5",
"19-5=14"
] | Current State: 14:[47, 19, 12, 7], Operations: []
Exploring Operation: 47-12=35, Resulting Numbers: [19, 7, 35]
Generated Node #2: [19, 7, 35] from Operation: 47-12=35
Current State: 14:[19, 7, 35], Operations: ['47-12=35']
Exploring Operation: 35/7=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 35/7=5
Current State: 14:[19, 5], Operations: ['47-12=35', '35/7=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
30,
1,
55,
54
] | 60 | [
"1+55=56",
"56-54=2",
"30*2=60"
] | Current State: 60:[30, 1, 55, 54], Operations: []
Exploring Operation: 1+55=56, Resulting Numbers: [30, 54, 56]
Generated Node #2: [30, 54, 56] from Operation: 1+55=56
Current State: 60:[30, 54, 56], Operations: ['1+55=56']
Exploring Operation: 56-54=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 56-54=2
Current State: 60:[30, 2], Operations: ['1+55=56', '56-54=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
97,
26,
24,
17
] | 85 | [
"24-17=7",
"26*7=182",
"182-97=85"
] | Current State: 85:[97, 26, 24, 17], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [97, 26, 7]
Generated Node #2: [97, 26, 7] from Operation: 24-17=7
Current State: 85:[97, 26, 7], Operations: ['24-17=7']
Exploring Operation: 26*7=182, Resulting Numbers: [97, 182]
Generated Node #3: [97, 182] from Operation: 26*7=182
Current State: 85:[97, 182], Operations: ['24-17=7', '26*7=182']
Exploring Operation: 182-97=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
81,
9,
88,
27
] | 91 | [
"81/9=9",
"27/9=3",
"88+3=91"
] | Current State: 91:[81, 9, 88, 27], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [88, 27, 9]
Generated Node #2: [88, 27, 9] from Operation: 81/9=9
Current State: 91:[88, 27, 9], Operations: ['81/9=9']
Exploring Operation: 27/9=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 27/9=3
Current State: 91:[88, 3], Operations: ['81/9=9', '27/9=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
11,
52,
9,
24
] | 30 | [
"11+52=63",
"9+24=33",
"63-33=30"
] | Current State: 30:[11, 52, 9, 24], Operations: []
Exploring Operation: 11+52=63, Resulting Numbers: [9, 24, 63]
Generated Node #2: [9, 24, 63] from Operation: 11+52=63
Current State: 30:[9, 24, 63], Operations: ['11+52=63']
Exploring Operation: 9+24=33, Resulting Numbers: [63, 33]
Generated Node #3: [63, 33] from Operation: 9+24=33
Current State: 30:[63, 33], Operations: ['11+52=63', '9+24=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
7,
50,
10,
64
] | 66 | [
"7+64=71",
"50/10=5",
"71-5=66"
] | Current State: 66:[7, 50, 10, 64], Operations: []
Exploring Operation: 7+64=71, Resulting Numbers: [50, 10, 71]
Generated Node #2: [50, 10, 71] from Operation: 7+64=71
Current State: 66:[50, 10, 71], Operations: ['7+64=71']
Exploring Operation: 50/10=5, Resulting Numbers: [71, 5]
Generated Node #3: [71, 5] from Operation: 50/10=5
Current State: 66:[71, 5], Operations: ['7+64=71', '50/10=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
84,
6,
48,
14
] | 56 | [
"84+6=90",
"48-14=34",
"90-34=56"
] | Current State: 56:[84, 6, 48, 14], Operations: []
Exploring Operation: 84+6=90, Resulting Numbers: [48, 14, 90]
Generated Node #2: [48, 14, 90] from Operation: 84+6=90
Current State: 56:[48, 14, 90], Operations: ['84+6=90']
Exploring Operation: 48-14=34, Resulting Numbers: [90, 34]
Generated Node #3: [90, 34] from Operation: 48-14=34
Current State: 56:[90, 34], Operations: ['84+6=90', '48-14=34']
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
74,
62,
95,
3
] | 38 | [
"74+62=136",
"95+3=98",
"136-98=38"
] | Current State: 38:[74, 62, 95, 3], Operations: []
Exploring Operation: 74+62=136, Resulting Numbers: [95, 3, 136]
Generated Node #2: [95, 3, 136] from Operation: 74+62=136
Current State: 38:[95, 3, 136], Operations: ['74+62=136']
Exploring Operation: 95+3=98, Resulting Numbers: [136, 98]
Generated Node #3: [136, 98] from Operation: 95+3=98
Current State: 38:[136, 98], Operations: ['74+62=136', '95+3=98']
Exploring Operation: 136-98=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
28,
24,
73,
21
] | 48 | [
"28-24=4",
"73-21=52",
"52-4=48"
] | Current State: 48:[28, 24, 73, 21], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [73, 21, 4]
Generated Node #2: [73, 21, 4] from Operation: 28-24=4
Current State: 48:[73, 21, 4], Operations: ['28-24=4']
Exploring Operation: 73-21=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 73-21=52
Current State: 48:[4, 52], Operations: ['28-24=4', '73-21=52']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
62,
20,
51,
99
] | 90 | [
"62-20=42",
"99-51=48",
"42+48=90"
] | Current State: 90:[62, 20, 51, 99], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [51, 99, 42]
Generated Node #2: [51, 99, 42] from Operation: 62-20=42
Current State: 90:[51, 99, 42], Operations: ['62-20=42']
Exploring Operation: 99-51=48, Resulting Numbers: [42, 48]
Generated Node #3: [42, 48] from Operation: 99-51=48
Current State: 90:[42, 48], Operations: ['62-20=42', '99-51=48']
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
62,
85,
43,
45
] | 61 | [
"85*45=3825",
"3825-43=3782",
"3782/62=61"
] | Current State: 61:[62, 85, 43, 45], Operations: []
Exploring Operation: 85*45=3825, Resulting Numbers: [62, 43, 3825]
Generated Node #2: [62, 43, 3825] from Operation: 85*45=3825
Current State: 61:[62, 43, 3825], Operations: ['85*45=3825']
Exploring Operation: 3825-43=3782, Resulting Numbers: [62, 3782]
Generated Node #3: [62, 3782] from Operation: 3825-43=3782
Current State: 61:[62, 3782], Operations: ['85*45=3825', '3825-43=3782']
Exploring Operation: 3782/62=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
22,
30,
57,
33
] | 66 | [
"57+33=90",
"22*90=1980",
"1980/30=66"
] | Current State: 66:[22, 30, 57, 33], Operations: []
Exploring Operation: 57+33=90, Resulting Numbers: [22, 30, 90]
Generated Node #2: [22, 30, 90] from Operation: 57+33=90
Current State: 66:[22, 30, 90], Operations: ['57+33=90']
Exploring Operation: 22*90=1980, Resulting Numbers: [30, 1980]
Generated Node #3: [30, 1980] from Operation: 22*90=1980
Current State: 66:[30, 1980], Operations: ['57+33=90', '22*90=1980']
Exploring Operation: 1980/30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
94,
82,
3,
96
] | 11 | [
"94-82=12",
"96/12=8",
"3+8=11"
] | Current State: 11:[94, 82, 3, 96], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [3, 96, 12]
Generated Node #2: [3, 96, 12] from Operation: 94-82=12
Current State: 11:[3, 96, 12], Operations: ['94-82=12']
Exploring Operation: 96/12=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 96/12=8
Current State: 11:[3, 8], Operations: ['94-82=12', '96/12=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
13,
34,
35,
41
] | 27 | [
"34-13=21",
"41-35=6",
"21+6=27"
] | Current State: 27:[13, 34, 35, 41], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [35, 41, 21]
Generated Node #2: [35, 41, 21] from Operation: 34-13=21
Current State: 27:[35, 41, 21], Operations: ['34-13=21']
Exploring Operation: 41-35=6, Resulting Numbers: [21, 6]
Generated Node #3: [21, 6] from Operation: 41-35=6
Current State: 27:[21, 6], Operations: ['34-13=21', '41-35=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
64,
1,
2,
67
] | 71 | [
"64-1=63",
"2*67=134",
"134-63=71"
] | Current State: 71:[64, 1, 2, 67], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [2, 67, 63]
Generated Node #2: [2, 67, 63] from Operation: 64-1=63
Current State: 71:[2, 67, 63], Operations: ['64-1=63']
Exploring Operation: 2*67=134, Resulting Numbers: [63, 134]
Generated Node #3: [63, 134] from Operation: 2*67=134
Current State: 71:[63, 134], Operations: ['64-1=63', '2*67=134']
Exploring Operation: 134-63=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
59,
13,
70,
34
] | 67 | [
"70+34=104",
"104/13=8",
"59+8=67"
] | Current State: 67:[59, 13, 70, 34], Operations: []
Exploring Operation: 70+34=104, Resulting Numbers: [59, 13, 104]
Generated Node #2: [59, 13, 104] from Operation: 70+34=104
Current State: 67:[59, 13, 104], Operations: ['70+34=104']
Exploring Operation: 104/13=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 104/13=8
Current State: 67:[59, 8], Operations: ['70+34=104', '104/13=8']
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
40,
4,
32
] | 84 | [
"40-32=8",
"10*8=80",
"4+80=84"
] | Current State: 84:[10, 40, 4, 32], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [10, 4, 8]
Generated Node #2: [10, 4, 8] from Operation: 40-32=8
Current State: 84:[10, 4, 8], Operations: ['40-32=8']
Exploring Operation: 10*8=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 10*8=80
Current State: 84:[4, 80], Operations: ['40-32=8', '10*8=80']
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
92,
58,
24,
44
] | 28 | [
"58*44=2552",
"24+2552=2576",
"2576/92=28"
] | Current State: 28:[92, 58, 24, 44], Operations: []
Exploring Operation: 58*44=2552, Resulting Numbers: [92, 24, 2552]
Generated Node #2: [92, 24, 2552] from Operation: 58*44=2552
Current State: 28:[92, 24, 2552], Operations: ['58*44=2552']
Exploring Operation: 24+2552=2576, Resulting Numbers: [92, 2576]
Generated Node #3: [92, 2576] from Operation: 24+2552=2576
Current State: 28:[92, 2576], Operations: ['58*44=2552', '24+2552=2576']
Exploring Operation: 2576/92=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
30,
18,
69,
9
] | 30 | [
"30+18=48",
"69+9=78",
"78-48=30"
] | Current State: 30:[30, 18, 69, 9], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [69, 9, 48]
Generated Node #2: [69, 9, 48] from Operation: 30+18=48
Current State: 30:[69, 9, 48], Operations: ['30+18=48']
Exploring Operation: 69+9=78, Resulting Numbers: [48, 78]
Generated Node #3: [48, 78] from Operation: 69+9=78
Current State: 30:[48, 78], Operations: ['30+18=48', '69+9=78']
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
71,
3,
32,
97
] | 24 | [
"71+97=168",
"168/3=56",
"56-32=24"
] | Current State: 24:[71, 3, 32, 97], Operations: []
Exploring Operation: 71+97=168, Resulting Numbers: [3, 32, 168]
Generated Node #2: [3, 32, 168] from Operation: 71+97=168
Current State: 24:[3, 32, 168], Operations: ['71+97=168']
Exploring Operation: 168/3=56, Resulting Numbers: [32, 56]
Generated Node #3: [32, 56] from Operation: 168/3=56
Current State: 24:[32, 56], Operations: ['71+97=168', '168/3=56']
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
74,
14,
66,
37
] | 73 | [
"74/37=2",
"14/2=7",
"66+7=73"
] | Current State: 73:[74, 14, 66, 37], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [14, 66, 2]
Generated Node #2: [14, 66, 2] from Operation: 74/37=2
Current State: 73:[14, 66, 2], Operations: ['74/37=2']
Exploring Operation: 14/2=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 14/2=7
Current State: 73:[66, 7], Operations: ['74/37=2', '14/2=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
2,
60,
91,
27
] | 68 | [
"91-27=64",
"2*64=128",
"128-60=68"
] | Current State: 68:[2, 60, 91, 27], Operations: []
Exploring Operation: 91-27=64, Resulting Numbers: [2, 60, 64]
Generated Node #2: [2, 60, 64] from Operation: 91-27=64
Current State: 68:[2, 60, 64], Operations: ['91-27=64']
Exploring Operation: 2*64=128, Resulting Numbers: [60, 128]
Generated Node #3: [60, 128] from Operation: 2*64=128
Current State: 68:[60, 128], Operations: ['91-27=64', '2*64=128']
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
27,
64,
77,
79
] | 93 | [
"27+64=91",
"79-77=2",
"91+2=93"
] | Current State: 93:[27, 64, 77, 79], Operations: []
Exploring Operation: 27+64=91, Resulting Numbers: [77, 79, 91]
Generated Node #2: [77, 79, 91] from Operation: 27+64=91
Current State: 93:[77, 79, 91], Operations: ['27+64=91']
Exploring Operation: 79-77=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 79-77=2
Current State: 93:[91, 2], Operations: ['27+64=91', '79-77=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
11,
20,
15,
39
] | 45 | [
"20-11=9",
"15+39=54",
"54-9=45"
] | Current State: 45:[11, 20, 15, 39], Operations: []
Exploring Operation: 20-11=9, Resulting Numbers: [15, 39, 9]
Generated Node #2: [15, 39, 9] from Operation: 20-11=9
Current State: 45:[15, 39, 9], Operations: ['20-11=9']
Exploring Operation: 15+39=54, Resulting Numbers: [9, 54]
Generated Node #3: [9, 54] from Operation: 15+39=54
Current State: 45:[9, 54], Operations: ['20-11=9', '15+39=54']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
44,
7,
84
] | 31 | [
"2+44=46",
"84-7=77",
"77-46=31"
] | Current State: 31:[2, 44, 7, 84], Operations: []
Exploring Operation: 2+44=46, Resulting Numbers: [7, 84, 46]
Generated Node #2: [7, 84, 46] from Operation: 2+44=46
Current State: 31:[7, 84, 46], Operations: ['2+44=46']
Exploring Operation: 84-7=77, Resulting Numbers: [46, 77]
Generated Node #3: [46, 77] from Operation: 84-7=77
Current State: 31:[46, 77], Operations: ['2+44=46', '84-7=77']
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
3,
13,
81,
20
] | 22 | [
"3*13=39",
"81-20=61",
"61-39=22"
] | Current State: 22:[3, 13, 81, 20], Operations: []
Exploring Operation: 3*13=39, Resulting Numbers: [81, 20, 39]
Generated Node #2: [81, 20, 39] from Operation: 3*13=39
Current State: 22:[81, 20, 39], Operations: ['3*13=39']
Exploring Operation: 81-20=61, Resulting Numbers: [39, 61]
Generated Node #3: [39, 61] from Operation: 81-20=61
Current State: 22:[39, 61], Operations: ['3*13=39', '81-20=61']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
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