nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
35,
98,
94,
2
] | 70 | [
"98-94=4",
"35*4=140",
"140/2=70"
] | Current State: 70:[35, 98, 94, 2], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [35, 2, 4]
Generated Node #2: [35, 2, 4] from Operation: 98-94=4
Current State: 70:[35, 2, 4], Operations: ['98-94=4']
Exploring Operation: 35*4=140, Resulting Numbers: [2, 140]
Generated Node #3: [2, 140] from Operation: 35*4=140
Current State: 70:[2, 140], Operations: ['98-94=4', '35*4=140']
Exploring Operation: 140/2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
79,
50,
5,
20
] | 29 | [
"79+50=129",
"5*20=100",
"129-100=29"
] | Current State: 29:[79, 50, 5, 20], Operations: []
Exploring Operation: 79+50=129, Resulting Numbers: [5, 20, 129]
Generated Node #2: [5, 20, 129] from Operation: 79+50=129
Current State: 29:[5, 20, 129], Operations: ['79+50=129']
Exploring Operation: 5*20=100, Resulting Numbers: [129, 100]
Generated Node #3: [129, 100] from Operation: 5*20=100
Current State: 29:[129, 100], Operations: ['79+50=129', '5*20=100']
Exploring Operation: 129-100=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
88,
77,
98,
11
] | 97 | [
"88-77=11",
"11/11=1",
"98-1=97"
] | Current State: 97:[88, 77, 98, 11], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [98, 11, 11]
Generated Node #2: [98, 11, 11] from Operation: 88-77=11
Current State: 97:[98, 11, 11], Operations: ['88-77=11']
Exploring Operation: 11/11=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 11/11=1
Current State: 97:[98, 1], Operations: ['88-77=11', '11/11=1']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
72,
41,
92,
90
] | 69 | [
"72+41=113",
"92+90=182",
"182-113=69"
] | Current State: 69:[72, 41, 92, 90], Operations: []
Exploring Operation: 72+41=113, Resulting Numbers: [92, 90, 113]
Generated Node #2: [92, 90, 113] from Operation: 72+41=113
Current State: 69:[92, 90, 113], Operations: ['72+41=113']
Exploring Operation: 92+90=182, Resulting Numbers: [113, 182]
Generated Node #3: [113, 182] from Operation: 92+90=182
Current State: 69:[113, 182], Operations: ['72+41=113', '92+90=182']
Exploring Operation: 182-113=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
2,
80,
75,
69
] | 43 | [
"80+75=155",
"155-69=86",
"86/2=43"
] | Current State: 43:[2, 80, 75, 69], Operations: []
Exploring Operation: 80+75=155, Resulting Numbers: [2, 69, 155]
Generated Node #2: [2, 69, 155] from Operation: 80+75=155
Current State: 43:[2, 69, 155], Operations: ['80+75=155']
Exploring Operation: 155-69=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 155-69=86
Current State: 43:[2, 86], Operations: ['80+75=155', '155-69=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
50,
4,
25,
1
] | 56 | [
"25-1=24",
"24/4=6",
"50+6=56"
] | Current State: 56:[50, 4, 25, 1], Operations: []
Exploring Operation: 25-1=24, Resulting Numbers: [50, 4, 24]
Generated Node #2: [50, 4, 24] from Operation: 25-1=24
Current State: 56:[50, 4, 24], Operations: ['25-1=24']
Exploring Operation: 24/4=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 24/4=6
Current State: 56:[50, 6], Operations: ['25-1=24', '24/4=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
22,
8,
80,
98
] | 95 | [
"22+98=120",
"120/8=15",
"80+15=95"
] | Current State: 95:[22, 8, 80, 98], Operations: []
Exploring Operation: 22+98=120, Resulting Numbers: [8, 80, 120]
Generated Node #2: [8, 80, 120] from Operation: 22+98=120
Current State: 95:[8, 80, 120], Operations: ['22+98=120']
Exploring Operation: 120/8=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 120/8=15
Current State: 95:[80, 15], Operations: ['22+98=120', '120/8=15']
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
41,
54,
2,
78
] | 52 | [
"54-41=13",
"78/2=39",
"13+39=52"
] | Current State: 52:[41, 54, 2, 78], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [2, 78, 13]
Generated Node #2: [2, 78, 13] from Operation: 54-41=13
Current State: 52:[2, 78, 13], Operations: ['54-41=13']
Exploring Operation: 78/2=39, Resulting Numbers: [13, 39]
Generated Node #3: [13, 39] from Operation: 78/2=39
Current State: 52:[13, 39], Operations: ['54-41=13', '78/2=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
34,
37,
30,
51
] | 92 | [
"34+37=71",
"51-30=21",
"71+21=92"
] | Current State: 92:[34, 37, 30, 51], Operations: []
Exploring Operation: 34+37=71, Resulting Numbers: [30, 51, 71]
Generated Node #2: [30, 51, 71] from Operation: 34+37=71
Current State: 92:[30, 51, 71], Operations: ['34+37=71']
Exploring Operation: 51-30=21, Resulting Numbers: [71, 21]
Generated Node #3: [71, 21] from Operation: 51-30=21
Current State: 92:[71, 21], Operations: ['34+37=71', '51-30=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
68,
8,
7,
57
] | 11 | [
"68-57=11",
"8-7=1",
"11*1=11"
] | Current State: 11:[68, 8, 7, 57], Operations: []
Exploring Operation: 68-57=11, Resulting Numbers: [8, 7, 11]
Generated Node #2: [8, 7, 11] from Operation: 68-57=11
Current State: 11:[8, 7, 11], Operations: ['68-57=11']
Exploring Operation: 8-7=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 8-7=1
Current State: 11:[11, 1], Operations: ['68-57=11', '8-7=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
48,
57,
2,
37
] | 38 | [
"57-37=20",
"20/2=10",
"48-10=38"
] | Current State: 38:[48, 57, 2, 37], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [48, 2, 20]
Generated Node #2: [48, 2, 20] from Operation: 57-37=20
Current State: 38:[48, 2, 20], Operations: ['57-37=20']
Exploring Operation: 20/2=10, Resulting Numbers: [48, 10]
Generated Node #3: [48, 10] from Operation: 20/2=10
Current State: 38:[48, 10], Operations: ['57-37=20', '20/2=10']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
9,
79,
81
] | 88 | [
"79-16=63",
"63/9=7",
"81+7=88"
] | Current State: 88:[16, 9, 79, 81], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [9, 81, 63]
Generated Node #2: [9, 81, 63] from Operation: 79-16=63
Current State: 88:[9, 81, 63], Operations: ['79-16=63']
Exploring Operation: 63/9=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 63/9=7
Current State: 88:[81, 7], Operations: ['79-16=63', '63/9=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
20,
37,
61,
62
] | 18 | [
"37-20=17",
"62-61=1",
"17+1=18"
] | Current State: 18:[20, 37, 61, 62], Operations: []
Exploring Operation: 37-20=17, Resulting Numbers: [61, 62, 17]
Generated Node #2: [61, 62, 17] from Operation: 37-20=17
Current State: 18:[61, 62, 17], Operations: ['37-20=17']
Exploring Operation: 62-61=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 62-61=1
Current State: 18:[17, 1], Operations: ['37-20=17', '62-61=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
99,
40,
89,
56
] | 86 | [
"99-40=59",
"89+56=145",
"145-59=86"
] | Current State: 86:[99, 40, 89, 56], Operations: []
Exploring Operation: 99-40=59, Resulting Numbers: [89, 56, 59]
Generated Node #2: [89, 56, 59] from Operation: 99-40=59
Current State: 86:[89, 56, 59], Operations: ['99-40=59']
Exploring Operation: 89+56=145, Resulting Numbers: [59, 145]
Generated Node #3: [59, 145] from Operation: 89+56=145
Current State: 86:[59, 145], Operations: ['99-40=59', '89+56=145']
Exploring Operation: 145-59=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
26,
13,
60,
97
] | 76 | [
"26+13=39",
"97-60=37",
"39+37=76"
] | Current State: 76:[26, 13, 60, 97], Operations: []
Exploring Operation: 26+13=39, Resulting Numbers: [60, 97, 39]
Generated Node #2: [60, 97, 39] from Operation: 26+13=39
Current State: 76:[60, 97, 39], Operations: ['26+13=39']
Exploring Operation: 97-60=37, Resulting Numbers: [39, 37]
Generated Node #3: [39, 37] from Operation: 97-60=37
Current State: 76:[39, 37], Operations: ['26+13=39', '97-60=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
32,
41,
30,
40
] | 88 | [
"40-32=8",
"41-30=11",
"8*11=88"
] | Current State: 88:[32, 41, 30, 40], Operations: []
Exploring Operation: 40-32=8, Resulting Numbers: [41, 30, 8]
Generated Node #2: [41, 30, 8] from Operation: 40-32=8
Current State: 88:[41, 30, 8], Operations: ['40-32=8']
Exploring Operation: 41-30=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 41-30=11
Current State: 88:[8, 11], Operations: ['40-32=8', '41-30=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
86,
68,
3,
86
] | 17 | [
"86/86=1",
"3+1=4",
"68/4=17"
] | Current State: 17:[86, 68, 3, 86], Operations: []
Exploring Operation: 86/86=1, Resulting Numbers: [68, 3, 1]
Generated Node #2: [68, 3, 1] from Operation: 86/86=1
Current State: 17:[68, 3, 1], Operations: ['86/86=1']
Exploring Operation: 3+1=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 3+1=4
Current State: 17:[68, 4], Operations: ['86/86=1', '3+1=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
4,
47,
56,
31
] | 53 | [
"56-31=25",
"4*25=100",
"100-47=53"
] | Current State: 53:[4, 47, 56, 31], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [4, 47, 25]
Generated Node #2: [4, 47, 25] from Operation: 56-31=25
Current State: 53:[4, 47, 25], Operations: ['56-31=25']
Exploring Operation: 4*25=100, Resulting Numbers: [47, 100]
Generated Node #3: [47, 100] from Operation: 4*25=100
Current State: 53:[47, 100], Operations: ['56-31=25', '4*25=100']
Exploring Operation: 100-47=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
1,
69,
84,
27
] | 41 | [
"1+69=70",
"84+27=111",
"111-70=41"
] | Current State: 41:[1, 69, 84, 27], Operations: []
Exploring Operation: 1+69=70, Resulting Numbers: [84, 27, 70]
Generated Node #2: [84, 27, 70] from Operation: 1+69=70
Current State: 41:[84, 27, 70], Operations: ['1+69=70']
Exploring Operation: 84+27=111, Resulting Numbers: [70, 111]
Generated Node #3: [70, 111] from Operation: 84+27=111
Current State: 41:[70, 111], Operations: ['1+69=70', '84+27=111']
Exploring Operation: 111-70=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
52,
57,
77,
28
] | 19 | [
"77-52=25",
"28-25=3",
"57/3=19"
] | Current State: 19:[52, 57, 77, 28], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [57, 28, 25]
Generated Node #2: [57, 28, 25] from Operation: 77-52=25
Current State: 19:[57, 28, 25], Operations: ['77-52=25']
Exploring Operation: 28-25=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 28-25=3
Current State: 19:[57, 3], Operations: ['77-52=25', '28-25=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
98,
92,
86,
95
] | 97 | [
"98+86=184",
"184/92=2",
"95+2=97"
] | Current State: 97:[98, 92, 86, 95], Operations: []
Exploring Operation: 98+86=184, Resulting Numbers: [92, 95, 184]
Generated Node #2: [92, 95, 184] from Operation: 98+86=184
Current State: 97:[92, 95, 184], Operations: ['98+86=184']
Exploring Operation: 184/92=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 184/92=2
Current State: 97:[95, 2], Operations: ['98+86=184', '184/92=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
53,
47,
82,
88
] | 36 | [
"53-47=6",
"88-82=6",
"6*6=36"
] | Current State: 36:[53, 47, 82, 88], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [82, 88, 6]
Generated Node #2: [82, 88, 6] from Operation: 53-47=6
Current State: 36:[82, 88, 6], Operations: ['53-47=6']
Exploring Operation: 88-82=6, Resulting Numbers: [6, 6]
Generated Node #3: [6, 6] from Operation: 88-82=6
Current State: 36:[6, 6], Operations: ['53-47=6', '88-82=6']
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
8,
15,
2,
41
] | 87 | [
"8+15=23",
"2*23=46",
"41+46=87"
] | Current State: 87:[8, 15, 2, 41], Operations: []
Exploring Operation: 8+15=23, Resulting Numbers: [2, 41, 23]
Generated Node #2: [2, 41, 23] from Operation: 8+15=23
Current State: 87:[2, 41, 23], Operations: ['8+15=23']
Exploring Operation: 2*23=46, Resulting Numbers: [41, 46]
Generated Node #3: [41, 46] from Operation: 2*23=46
Current State: 87:[41, 46], Operations: ['8+15=23', '2*23=46']
Exploring Operation: 41+46=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
58,
29,
8,
41
] | 66 | [
"58/29=2",
"41-8=33",
"2*33=66"
] | Current State: 66:[58, 29, 8, 41], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [8, 41, 2]
Generated Node #2: [8, 41, 2] from Operation: 58/29=2
Current State: 66:[8, 41, 2], Operations: ['58/29=2']
Exploring Operation: 41-8=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 41-8=33
Current State: 66:[2, 33], Operations: ['58/29=2', '41-8=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
55,
59,
35,
70
] | 70 | [
"59-55=4",
"35*4=140",
"140-70=70"
] | Current State: 70:[55, 59, 35, 70], Operations: []
Exploring Operation: 59-55=4, Resulting Numbers: [35, 70, 4]
Generated Node #2: [35, 70, 4] from Operation: 59-55=4
Current State: 70:[35, 70, 4], Operations: ['59-55=4']
Exploring Operation: 35*4=140, Resulting Numbers: [70, 140]
Generated Node #3: [70, 140] from Operation: 35*4=140
Current State: 70:[70, 140], Operations: ['59-55=4', '35*4=140']
Exploring Operation: 140-70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
52,
81,
61,
41
] | 50 | [
"61-52=9",
"81/9=9",
"41+9=50"
] | Current State: 50:[52, 81, 61, 41], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [81, 41, 9]
Generated Node #2: [81, 41, 9] from Operation: 61-52=9
Current State: 50:[81, 41, 9], Operations: ['61-52=9']
Exploring Operation: 81/9=9, Resulting Numbers: [41, 9]
Generated Node #3: [41, 9] from Operation: 81/9=9
Current State: 50:[41, 9], Operations: ['61-52=9', '81/9=9']
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
29,
83,
57,
6
] | 18 | [
"83-29=54",
"57-54=3",
"6*3=18"
] | Current State: 18:[29, 83, 57, 6], Operations: []
Exploring Operation: 83-29=54, Resulting Numbers: [57, 6, 54]
Generated Node #2: [57, 6, 54] from Operation: 83-29=54
Current State: 18:[57, 6, 54], Operations: ['83-29=54']
Exploring Operation: 57-54=3, Resulting Numbers: [6, 3]
Generated Node #3: [6, 3] from Operation: 57-54=3
Current State: 18:[6, 3], Operations: ['83-29=54', '57-54=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
82,
67,
78,
16
] | 71 | [
"82-78=4",
"16/4=4",
"67+4=71"
] | Current State: 71:[82, 67, 78, 16], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [67, 16, 4]
Generated Node #2: [67, 16, 4] from Operation: 82-78=4
Current State: 71:[67, 16, 4], Operations: ['82-78=4']
Exploring Operation: 16/4=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 16/4=4
Current State: 71:[67, 4], Operations: ['82-78=4', '16/4=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
89,
75,
69,
25
] | 19 | [
"89+25=114",
"75-69=6",
"114/6=19"
] | Current State: 19:[89, 75, 69, 25], Operations: []
Exploring Operation: 89+25=114, Resulting Numbers: [75, 69, 114]
Generated Node #2: [75, 69, 114] from Operation: 89+25=114
Current State: 19:[75, 69, 114], Operations: ['89+25=114']
Exploring Operation: 75-69=6, Resulting Numbers: [114, 6]
Generated Node #3: [114, 6] from Operation: 75-69=6
Current State: 19:[114, 6], Operations: ['89+25=114', '75-69=6']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
85,
32,
6,
94
] | 13 | [
"85*6=510",
"510-94=416",
"416/32=13"
] | Current State: 13:[85, 32, 6, 94], Operations: []
Exploring Operation: 85*6=510, Resulting Numbers: [32, 94, 510]
Generated Node #2: [32, 94, 510] from Operation: 85*6=510
Current State: 13:[32, 94, 510], Operations: ['85*6=510']
Exploring Operation: 510-94=416, Resulting Numbers: [32, 416]
Generated Node #3: [32, 416] from Operation: 510-94=416
Current State: 13:[32, 416], Operations: ['85*6=510', '510-94=416']
Exploring Operation: 416/32=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
76,
24,
7,
39
] | 91 | [
"76-24=52",
"52-39=13",
"7*13=91"
] | Current State: 91:[76, 24, 7, 39], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [7, 39, 52]
Generated Node #2: [7, 39, 52] from Operation: 76-24=52
Current State: 91:[7, 39, 52], Operations: ['76-24=52']
Exploring Operation: 52-39=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 52-39=13
Current State: 91:[7, 13], Operations: ['76-24=52', '52-39=13']
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
91,
95,
48
] | 48 | [
"5+91=96",
"96-95=1",
"48*1=48"
] | Current State: 48:[5, 91, 95, 48], Operations: []
Exploring Operation: 5+91=96, Resulting Numbers: [95, 48, 96]
Generated Node #2: [95, 48, 96] from Operation: 5+91=96
Current State: 48:[95, 48, 96], Operations: ['5+91=96']
Exploring Operation: 96-95=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 96-95=1
Current State: 48:[48, 1], Operations: ['5+91=96', '96-95=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
19,
44,
83
] | 67 | [
"44-19=25",
"6*25=150",
"150-83=67"
] | Current State: 67:[6, 19, 44, 83], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [6, 83, 25]
Generated Node #2: [6, 83, 25] from Operation: 44-19=25
Current State: 67:[6, 83, 25], Operations: ['44-19=25']
Exploring Operation: 6*25=150, Resulting Numbers: [83, 150]
Generated Node #3: [83, 150] from Operation: 6*25=150
Current State: 67:[83, 150], Operations: ['44-19=25', '6*25=150']
Exploring Operation: 150-83=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
96,
36,
12,
21
] | 16 | [
"96-36=60",
"60/12=5",
"21-5=16"
] | Current State: 16:[96, 36, 12, 21], Operations: []
Exploring Operation: 96-36=60, Resulting Numbers: [12, 21, 60]
Generated Node #2: [12, 21, 60] from Operation: 96-36=60
Current State: 16:[12, 21, 60], Operations: ['96-36=60']
Exploring Operation: 60/12=5, Resulting Numbers: [21, 5]
Generated Node #3: [21, 5] from Operation: 60/12=5
Current State: 16:[21, 5], Operations: ['96-36=60', '60/12=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
35,
28,
74,
22
] | 65 | [
"74-22=52",
"35*52=1820",
"1820/28=65"
] | Current State: 65:[35, 28, 74, 22], Operations: []
Exploring Operation: 74-22=52, Resulting Numbers: [35, 28, 52]
Generated Node #2: [35, 28, 52] from Operation: 74-22=52
Current State: 65:[35, 28, 52], Operations: ['74-22=52']
Exploring Operation: 35*52=1820, Resulting Numbers: [28, 1820]
Generated Node #3: [28, 1820] from Operation: 35*52=1820
Current State: 65:[28, 1820], Operations: ['74-22=52', '35*52=1820']
Exploring Operation: 1820/28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
23,
55,
5,
2
] | 34 | [
"23+55=78",
"78/2=39",
"39-5=34"
] | Current State: 34:[23, 55, 5, 2], Operations: []
Exploring Operation: 23+55=78, Resulting Numbers: [5, 2, 78]
Generated Node #2: [5, 2, 78] from Operation: 23+55=78
Current State: 34:[5, 2, 78], Operations: ['23+55=78']
Exploring Operation: 78/2=39, Resulting Numbers: [5, 39]
Generated Node #3: [5, 39] from Operation: 78/2=39
Current State: 34:[5, 39], Operations: ['23+55=78', '78/2=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
54,
49,
4,
47
] | 95 | [
"54+47=101",
"49*4=196",
"196-101=95"
] | Current State: 95:[54, 49, 4, 47], Operations: []
Exploring Operation: 54+47=101, Resulting Numbers: [49, 4, 101]
Generated Node #2: [49, 4, 101] from Operation: 54+47=101
Current State: 95:[49, 4, 101], Operations: ['54+47=101']
Exploring Operation: 49*4=196, Resulting Numbers: [101, 196]
Generated Node #3: [101, 196] from Operation: 49*4=196
Current State: 95:[101, 196], Operations: ['54+47=101', '49*4=196']
Exploring Operation: 196-101=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
35,
23,
25
] | 33 | [
"35+25=60",
"60/6=10",
"23+10=33"
] | Current State: 33:[6, 35, 23, 25], Operations: []
Exploring Operation: 35+25=60, Resulting Numbers: [6, 23, 60]
Generated Node #2: [6, 23, 60] from Operation: 35+25=60
Current State: 33:[6, 23, 60], Operations: ['35+25=60']
Exploring Operation: 60/6=10, Resulting Numbers: [23, 10]
Generated Node #3: [23, 10] from Operation: 60/6=10
Current State: 33:[23, 10], Operations: ['35+25=60', '60/6=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
40,
64,
47,
56
] | 50 | [
"64+56=120",
"120/40=3",
"47+3=50"
] | Current State: 50:[40, 64, 47, 56], Operations: []
Exploring Operation: 64+56=120, Resulting Numbers: [40, 47, 120]
Generated Node #2: [40, 47, 120] from Operation: 64+56=120
Current State: 50:[40, 47, 120], Operations: ['64+56=120']
Exploring Operation: 120/40=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 120/40=3
Current State: 50:[47, 3], Operations: ['64+56=120', '120/40=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
47,
17,
51,
87
] | 66 | [
"47-17=30",
"87-51=36",
"30+36=66"
] | Current State: 66:[47, 17, 51, 87], Operations: []
Exploring Operation: 47-17=30, Resulting Numbers: [51, 87, 30]
Generated Node #2: [51, 87, 30] from Operation: 47-17=30
Current State: 66:[51, 87, 30], Operations: ['47-17=30']
Exploring Operation: 87-51=36, Resulting Numbers: [30, 36]
Generated Node #3: [30, 36] from Operation: 87-51=36
Current State: 66:[30, 36], Operations: ['47-17=30', '87-51=36']
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
67,
78,
31,
10
] | 10 | [
"78-67=11",
"31-10=21",
"21-11=10"
] | Current State: 10:[67, 78, 31, 10], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [31, 10, 11]
Generated Node #2: [31, 10, 11] from Operation: 78-67=11
Current State: 10:[31, 10, 11], Operations: ['78-67=11']
Exploring Operation: 31-10=21, Resulting Numbers: [11, 21]
Generated Node #3: [11, 21] from Operation: 31-10=21
Current State: 10:[11, 21], Operations: ['78-67=11', '31-10=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
88,
45,
80,
7
] | 11 | [
"88-80=8",
"7*8=56",
"56-45=11"
] | Current State: 11:[88, 45, 80, 7], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [45, 7, 8]
Generated Node #2: [45, 7, 8] from Operation: 88-80=8
Current State: 11:[45, 7, 8], Operations: ['88-80=8']
Exploring Operation: 7*8=56, Resulting Numbers: [45, 56]
Generated Node #3: [45, 56] from Operation: 7*8=56
Current State: 11:[45, 56], Operations: ['88-80=8', '7*8=56']
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
42,
39,
35,
56
] | 47 | [
"42-35=7",
"56/7=8",
"39+8=47"
] | Current State: 47:[42, 39, 35, 56], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [39, 56, 7]
Generated Node #2: [39, 56, 7] from Operation: 42-35=7
Current State: 47:[39, 56, 7], Operations: ['42-35=7']
Exploring Operation: 56/7=8, Resulting Numbers: [39, 8]
Generated Node #3: [39, 8] from Operation: 56/7=8
Current State: 47:[39, 8], Operations: ['42-35=7', '56/7=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
63,
86,
78,
97
] | 20 | [
"63+97=160",
"86-78=8",
"160/8=20"
] | Current State: 20:[63, 86, 78, 97], Operations: []
Exploring Operation: 63+97=160, Resulting Numbers: [86, 78, 160]
Generated Node #2: [86, 78, 160] from Operation: 63+97=160
Current State: 20:[86, 78, 160], Operations: ['63+97=160']
Exploring Operation: 86-78=8, Resulting Numbers: [160, 8]
Generated Node #3: [160, 8] from Operation: 86-78=8
Current State: 20:[160, 8], Operations: ['63+97=160', '86-78=8']
Exploring Operation: 160/8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
22,
95,
1,
19
] | 82 | [
"95*19=1805",
"1805-1=1804",
"1804/22=82"
] | Current State: 82:[22, 95, 1, 19], Operations: []
Exploring Operation: 95*19=1805, Resulting Numbers: [22, 1, 1805]
Generated Node #2: [22, 1, 1805] from Operation: 95*19=1805
Current State: 82:[22, 1, 1805], Operations: ['95*19=1805']
Exploring Operation: 1805-1=1804, Resulting Numbers: [22, 1804]
Generated Node #3: [22, 1804] from Operation: 1805-1=1804
Current State: 82:[22, 1804], Operations: ['95*19=1805', '1805-1=1804']
Exploring Operation: 1804/22=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
44,
1,
26
] | 39 | [
"65+1=66",
"26*66=1716",
"1716/44=39"
] | Current State: 39:[65, 44, 1, 26], Operations: []
Exploring Operation: 65+1=66, Resulting Numbers: [44, 26, 66]
Generated Node #2: [44, 26, 66] from Operation: 65+1=66
Current State: 39:[44, 26, 66], Operations: ['65+1=66']
Exploring Operation: 26*66=1716, Resulting Numbers: [44, 1716]
Generated Node #3: [44, 1716] from Operation: 26*66=1716
Current State: 39:[44, 1716], Operations: ['65+1=66', '26*66=1716']
Exploring Operation: 1716/44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
62,
73,
17,
57
] | 63 | [
"73-62=11",
"17+57=74",
"74-11=63"
] | Current State: 63:[62, 73, 17, 57], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [17, 57, 11]
Generated Node #2: [17, 57, 11] from Operation: 73-62=11
Current State: 63:[17, 57, 11], Operations: ['73-62=11']
Exploring Operation: 17+57=74, Resulting Numbers: [11, 74]
Generated Node #3: [11, 74] from Operation: 17+57=74
Current State: 63:[11, 74], Operations: ['73-62=11', '17+57=74']
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
30,
52,
38,
37
] | 22 | [
"52-30=22",
"38-37=1",
"22*1=22"
] | Current State: 22:[30, 52, 38, 37], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [38, 37, 22]
Generated Node #2: [38, 37, 22] from Operation: 52-30=22
Current State: 22:[38, 37, 22], Operations: ['52-30=22']
Exploring Operation: 38-37=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 38-37=1
Current State: 22:[22, 1], Operations: ['52-30=22', '38-37=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
13,
90,
62,
47
] | 45 | [
"62-13=49",
"49-47=2",
"90/2=45"
] | Current State: 45:[13, 90, 62, 47], Operations: []
Exploring Operation: 62-13=49, Resulting Numbers: [90, 47, 49]
Generated Node #2: [90, 47, 49] from Operation: 62-13=49
Current State: 45:[90, 47, 49], Operations: ['62-13=49']
Exploring Operation: 49-47=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 49-47=2
Current State: 45:[90, 2], Operations: ['62-13=49', '49-47=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
61,
12,
70,
67
] | 35 | [
"67-61=6",
"12/6=2",
"70/2=35"
] | Current State: 35:[61, 12, 70, 67], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [12, 70, 6]
Generated Node #2: [12, 70, 6] from Operation: 67-61=6
Current State: 35:[12, 70, 6], Operations: ['67-61=6']
Exploring Operation: 12/6=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 12/6=2
Current State: 35:[70, 2], Operations: ['67-61=6', '12/6=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
12,
45,
28,
9
] | 52 | [
"45-12=33",
"28-9=19",
"33+19=52"
] | Current State: 52:[12, 45, 28, 9], Operations: []
Exploring Operation: 45-12=33, Resulting Numbers: [28, 9, 33]
Generated Node #2: [28, 9, 33] from Operation: 45-12=33
Current State: 52:[28, 9, 33], Operations: ['45-12=33']
Exploring Operation: 28-9=19, Resulting Numbers: [33, 19]
Generated Node #3: [33, 19] from Operation: 28-9=19
Current State: 52:[33, 19], Operations: ['45-12=33', '28-9=19']
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
80,
27,
36,
90
] | 78 | [
"90-36=54",
"54/27=2",
"80-2=78"
] | Current State: 78:[80, 27, 36, 90], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [80, 27, 54]
Generated Node #2: [80, 27, 54] from Operation: 90-36=54
Current State: 78:[80, 27, 54], Operations: ['90-36=54']
Exploring Operation: 54/27=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 54/27=2
Current State: 78:[80, 2], Operations: ['90-36=54', '54/27=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
80,
93,
99,
95
] | 52 | [
"93-80=13",
"99-95=4",
"13*4=52"
] | Current State: 52:[80, 93, 99, 95], Operations: []
Exploring Operation: 93-80=13, Resulting Numbers: [99, 95, 13]
Generated Node #2: [99, 95, 13] from Operation: 93-80=13
Current State: 52:[99, 95, 13], Operations: ['93-80=13']
Exploring Operation: 99-95=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 99-95=4
Current State: 52:[13, 4], Operations: ['93-80=13', '99-95=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
76,
91,
6,
41
] | 79 | [
"76+91=167",
"6*41=246",
"246-167=79"
] | Current State: 79:[76, 91, 6, 41], Operations: []
Exploring Operation: 76+91=167, Resulting Numbers: [6, 41, 167]
Generated Node #2: [6, 41, 167] from Operation: 76+91=167
Current State: 79:[6, 41, 167], Operations: ['76+91=167']
Exploring Operation: 6*41=246, Resulting Numbers: [167, 246]
Generated Node #3: [167, 246] from Operation: 6*41=246
Current State: 79:[167, 246], Operations: ['76+91=167', '6*41=246']
Exploring Operation: 246-167=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
81,
80,
72,
29
] | 61 | [
"81*80=6480",
"6480/72=90",
"90-29=61"
] | Current State: 61:[81, 80, 72, 29], Operations: []
Exploring Operation: 81*80=6480, Resulting Numbers: [72, 29, 6480]
Generated Node #2: [72, 29, 6480] from Operation: 81*80=6480
Current State: 61:[72, 29, 6480], Operations: ['81*80=6480']
Exploring Operation: 6480/72=90, Resulting Numbers: [29, 90]
Generated Node #3: [29, 90] from Operation: 6480/72=90
Current State: 61:[29, 90], Operations: ['81*80=6480', '6480/72=90']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
23,
22,
39,
83
] | 43 | [
"23-22=1",
"83-39=44",
"44-1=43"
] | Current State: 43:[23, 22, 39, 83], Operations: []
Exploring Operation: 23-22=1, Resulting Numbers: [39, 83, 1]
Generated Node #2: [39, 83, 1] from Operation: 23-22=1
Current State: 43:[39, 83, 1], Operations: ['23-22=1']
Exploring Operation: 83-39=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 83-39=44
Current State: 43:[1, 44], Operations: ['23-22=1', '83-39=44']
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
42,
45,
47,
47
] | 68 | [
"47-45=2",
"42/2=21",
"47+21=68"
] | Current State: 68:[42, 45, 47, 47], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [42, 2]
Generated Node #2: [42, 2] from Operation: 47-45=2
Current State: 68:[42, 2], Operations: ['47-45=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,68 equal: Goal Reached
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
37,
21,
28,
84
] | 61 | [
"37+21=58",
"84/28=3",
"58+3=61"
] | Current State: 61:[37, 21, 28, 84], Operations: []
Exploring Operation: 37+21=58, Resulting Numbers: [28, 84, 58]
Generated Node #2: [28, 84, 58] from Operation: 37+21=58
Current State: 61:[28, 84, 58], Operations: ['37+21=58']
Exploring Operation: 84/28=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 84/28=3
Current State: 61:[58, 3], Operations: ['37+21=58', '84/28=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
47,
2,
50,
45
] | 87 | [
"50-47=3",
"2*45=90",
"90-3=87"
] | Current State: 87:[47, 2, 50, 45], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [2, 45, 3]
Generated Node #2: [2, 45, 3] from Operation: 50-47=3
Current State: 87:[2, 45, 3], Operations: ['50-47=3']
Exploring Operation: 2*45=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 2*45=90
Current State: 87:[3, 90], Operations: ['50-47=3', '2*45=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
1,
96,
27,
20
] | 50 | [
"1+96=97",
"27+20=47",
"97-47=50"
] | Current State: 50:[1, 96, 27, 20], Operations: []
Exploring Operation: 1+96=97, Resulting Numbers: [27, 20, 97]
Generated Node #2: [27, 20, 97] from Operation: 1+96=97
Current State: 50:[27, 20, 97], Operations: ['1+96=97']
Exploring Operation: 27+20=47, Resulting Numbers: [97, 47]
Generated Node #3: [97, 47] from Operation: 27+20=47
Current State: 50:[97, 47], Operations: ['1+96=97', '27+20=47']
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
38,
4,
83,
6
] | 93 | [
"38+6=44",
"4*44=176",
"176-83=93"
] | Current State: 93:[38, 4, 83, 6], Operations: []
Exploring Operation: 38+6=44, Resulting Numbers: [4, 83, 44]
Generated Node #2: [4, 83, 44] from Operation: 38+6=44
Current State: 93:[4, 83, 44], Operations: ['38+6=44']
Exploring Operation: 4*44=176, Resulting Numbers: [83, 176]
Generated Node #3: [83, 176] from Operation: 4*44=176
Current State: 93:[83, 176], Operations: ['38+6=44', '4*44=176']
Exploring Operation: 176-83=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
62,
27,
80,
2
] | 98 | [
"62+27=89",
"2*89=178",
"178-80=98"
] | Current State: 98:[62, 27, 80, 2], Operations: []
Exploring Operation: 62+27=89, Resulting Numbers: [80, 2, 89]
Generated Node #2: [80, 2, 89] from Operation: 62+27=89
Current State: 98:[80, 2, 89], Operations: ['62+27=89']
Exploring Operation: 2*89=178, Resulting Numbers: [80, 178]
Generated Node #3: [80, 178] from Operation: 2*89=178
Current State: 98:[80, 178], Operations: ['62+27=89', '2*89=178']
Exploring Operation: 178-80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
34,
13,
11,
59
] | 23 | [
"34+13=47",
"11+59=70",
"70-47=23"
] | Current State: 23:[34, 13, 11, 59], Operations: []
Exploring Operation: 34+13=47, Resulting Numbers: [11, 59, 47]
Generated Node #2: [11, 59, 47] from Operation: 34+13=47
Current State: 23:[11, 59, 47], Operations: ['34+13=47']
Exploring Operation: 11+59=70, Resulting Numbers: [47, 70]
Generated Node #3: [47, 70] from Operation: 11+59=70
Current State: 23:[47, 70], Operations: ['34+13=47', '11+59=70']
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
48,
23,
33,
57
] | 28 | [
"23*57=1311",
"33+1311=1344",
"1344/48=28"
] | Current State: 28:[48, 23, 33, 57], Operations: []
Exploring Operation: 23*57=1311, Resulting Numbers: [48, 33, 1311]
Generated Node #2: [48, 33, 1311] from Operation: 23*57=1311
Current State: 28:[48, 33, 1311], Operations: ['23*57=1311']
Exploring Operation: 33+1311=1344, Resulting Numbers: [48, 1344]
Generated Node #3: [48, 1344] from Operation: 33+1311=1344
Current State: 28:[48, 1344], Operations: ['23*57=1311', '33+1311=1344']
Exploring Operation: 1344/48=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
56,
76,
89,
60
] | 49 | [
"76-56=20",
"89-60=29",
"20+29=49"
] | Current State: 49:[56, 76, 89, 60], Operations: []
Exploring Operation: 76-56=20, Resulting Numbers: [89, 60, 20]
Generated Node #2: [89, 60, 20] from Operation: 76-56=20
Current State: 49:[89, 60, 20], Operations: ['76-56=20']
Exploring Operation: 89-60=29, Resulting Numbers: [20, 29]
Generated Node #3: [20, 29] from Operation: 89-60=29
Current State: 49:[20, 29], Operations: ['76-56=20', '89-60=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
28,
54,
41,
84
] | 17 | [
"54-28=26",
"84-41=43",
"43-26=17"
] | Current State: 17:[28, 54, 41, 84], Operations: []
Exploring Operation: 54-28=26, Resulting Numbers: [41, 84, 26]
Generated Node #2: [41, 84, 26] from Operation: 54-28=26
Current State: 17:[41, 84, 26], Operations: ['54-28=26']
Exploring Operation: 84-41=43, Resulting Numbers: [26, 43]
Generated Node #3: [26, 43] from Operation: 84-41=43
Current State: 17:[26, 43], Operations: ['54-28=26', '84-41=43']
Exploring Operation: 43-26=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
5,
77,
70,
89
] | 63 | [
"5+77=82",
"89-70=19",
"82-19=63"
] | Current State: 63:[5, 77, 70, 89], Operations: []
Exploring Operation: 5+77=82, Resulting Numbers: [70, 89, 82]
Generated Node #2: [70, 89, 82] from Operation: 5+77=82
Current State: 63:[70, 89, 82], Operations: ['5+77=82']
Exploring Operation: 89-70=19, Resulting Numbers: [82, 19]
Generated Node #3: [82, 19] from Operation: 89-70=19
Current State: 63:[82, 19], Operations: ['5+77=82', '89-70=19']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
35,
70,
44,
22
] | 33 | [
"70-35=35",
"44/22=2",
"35-2=33"
] | Current State: 33:[35, 70, 44, 22], Operations: []
Exploring Operation: 70-35=35, Resulting Numbers: [44, 22, 35]
Generated Node #2: [44, 22, 35] from Operation: 70-35=35
Current State: 33:[44, 22, 35], Operations: ['70-35=35']
Exploring Operation: 44/22=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 44/22=2
Current State: 33:[35, 2], Operations: ['70-35=35', '44/22=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
87,
40,
20,
8
] | 77 | [
"87-8=79",
"40/20=2",
"79-2=77"
] | Current State: 77:[87, 40, 20, 8], Operations: []
Exploring Operation: 87-8=79, Resulting Numbers: [40, 20, 79]
Generated Node #2: [40, 20, 79] from Operation: 87-8=79
Current State: 77:[40, 20, 79], Operations: ['87-8=79']
Exploring Operation: 40/20=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 40/20=2
Current State: 77:[79, 2], Operations: ['87-8=79', '40/20=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
2,
8,
43,
61
] | 17 | [
"2*43=86",
"8+61=69",
"86-69=17"
] | Current State: 17:[2, 8, 43, 61], Operations: []
Exploring Operation: 2*43=86, Resulting Numbers: [8, 61, 86]
Generated Node #2: [8, 61, 86] from Operation: 2*43=86
Current State: 17:[8, 61, 86], Operations: ['2*43=86']
Exploring Operation: 8+61=69, Resulting Numbers: [86, 69]
Generated Node #3: [86, 69] from Operation: 8+61=69
Current State: 17:[86, 69], Operations: ['2*43=86', '8+61=69']
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
9,
18,
7
] | 37 | [
"53+9=62",
"18+7=25",
"62-25=37"
] | Current State: 37:[53, 9, 18, 7], Operations: []
Exploring Operation: 53+9=62, Resulting Numbers: [18, 7, 62]
Generated Node #2: [18, 7, 62] from Operation: 53+9=62
Current State: 37:[18, 7, 62], Operations: ['53+9=62']
Exploring Operation: 18+7=25, Resulting Numbers: [62, 25]
Generated Node #3: [62, 25] from Operation: 18+7=25
Current State: 37:[62, 25], Operations: ['53+9=62', '18+7=25']
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
41,
96,
95,
59
] | 91 | [
"96-41=55",
"95-59=36",
"55+36=91"
] | Current State: 91:[41, 96, 95, 59], Operations: []
Exploring Operation: 96-41=55, Resulting Numbers: [95, 59, 55]
Generated Node #2: [95, 59, 55] from Operation: 96-41=55
Current State: 91:[95, 59, 55], Operations: ['96-41=55']
Exploring Operation: 95-59=36, Resulting Numbers: [55, 36]
Generated Node #3: [55, 36] from Operation: 95-59=36
Current State: 91:[55, 36], Operations: ['96-41=55', '95-59=36']
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
3,
75,
42
] | 66 | [
"48+3=51",
"75+42=117",
"117-51=66"
] | Current State: 66:[48, 3, 75, 42], Operations: []
Exploring Operation: 48+3=51, Resulting Numbers: [75, 42, 51]
Generated Node #2: [75, 42, 51] from Operation: 48+3=51
Current State: 66:[75, 42, 51], Operations: ['48+3=51']
Exploring Operation: 75+42=117, Resulting Numbers: [51, 117]
Generated Node #3: [51, 117] from Operation: 75+42=117
Current State: 66:[51, 117], Operations: ['48+3=51', '75+42=117']
Exploring Operation: 117-51=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
26,
74,
5,
58
] | 15 | [
"74-26=48",
"5+58=63",
"63-48=15"
] | Current State: 15:[26, 74, 5, 58], Operations: []
Exploring Operation: 74-26=48, Resulting Numbers: [5, 58, 48]
Generated Node #2: [5, 58, 48] from Operation: 74-26=48
Current State: 15:[5, 58, 48], Operations: ['74-26=48']
Exploring Operation: 5+58=63, Resulting Numbers: [48, 63]
Generated Node #3: [48, 63] from Operation: 5+58=63
Current State: 15:[48, 63], Operations: ['74-26=48', '5+58=63']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
37,
93,
17,
98
] | 100 | [
"37-17=20",
"98-93=5",
"20*5=100"
] | Current State: 100:[37, 93, 17, 98], Operations: []
Exploring Operation: 37-17=20, Resulting Numbers: [93, 98, 20]
Generated Node #2: [93, 98, 20] from Operation: 37-17=20
Current State: 100:[93, 98, 20], Operations: ['37-17=20']
Exploring Operation: 98-93=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 98-93=5
Current State: 100:[20, 5], Operations: ['37-17=20', '98-93=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
41,
60,
58,
40
] | 39 | [
"60-58=2",
"40*2=80",
"80-41=39"
] | Current State: 39:[41, 60, 58, 40], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [41, 40, 2]
Generated Node #2: [41, 40, 2] from Operation: 60-58=2
Current State: 39:[41, 40, 2], Operations: ['60-58=2']
Exploring Operation: 40*2=80, Resulting Numbers: [41, 80]
Generated Node #3: [41, 80] from Operation: 40*2=80
Current State: 39:[41, 80], Operations: ['60-58=2', '40*2=80']
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
58,
35,
24,
26
] | 43 | [
"58+35=93",
"24+26=50",
"93-50=43"
] | Current State: 43:[58, 35, 24, 26], Operations: []
Exploring Operation: 58+35=93, Resulting Numbers: [24, 26, 93]
Generated Node #2: [24, 26, 93] from Operation: 58+35=93
Current State: 43:[24, 26, 93], Operations: ['58+35=93']
Exploring Operation: 24+26=50, Resulting Numbers: [93, 50]
Generated Node #3: [93, 50] from Operation: 24+26=50
Current State: 43:[93, 50], Operations: ['58+35=93', '24+26=50']
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
81,
94,
74
] | 86 | [
"25+81=106",
"94-74=20",
"106-20=86"
] | Current State: 86:[25, 81, 94, 74], Operations: []
Exploring Operation: 25+81=106, Resulting Numbers: [94, 74, 106]
Generated Node #2: [94, 74, 106] from Operation: 25+81=106
Current State: 86:[94, 74, 106], Operations: ['25+81=106']
Exploring Operation: 94-74=20, Resulting Numbers: [106, 20]
Generated Node #3: [106, 20] from Operation: 94-74=20
Current State: 86:[106, 20], Operations: ['25+81=106', '94-74=20']
Exploring Operation: 106-20=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
56,
83,
72,
15
] | 82 | [
"56+83=139",
"72-15=57",
"139-57=82"
] | Current State: 82:[56, 83, 72, 15], Operations: []
Exploring Operation: 56+83=139, Resulting Numbers: [72, 15, 139]
Generated Node #2: [72, 15, 139] from Operation: 56+83=139
Current State: 82:[72, 15, 139], Operations: ['56+83=139']
Exploring Operation: 72-15=57, Resulting Numbers: [139, 57]
Generated Node #3: [139, 57] from Operation: 72-15=57
Current State: 82:[139, 57], Operations: ['56+83=139', '72-15=57']
Exploring Operation: 139-57=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
44,
69,
11,
13
] | 91 | [
"13-11=2",
"44/2=22",
"69+22=91"
] | Current State: 91:[44, 69, 11, 13], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [44, 69, 2]
Generated Node #2: [44, 69, 2] from Operation: 13-11=2
Current State: 91:[44, 69, 2], Operations: ['13-11=2']
Exploring Operation: 44/2=22, Resulting Numbers: [69, 22]
Generated Node #3: [69, 22] from Operation: 44/2=22
Current State: 91:[69, 22], Operations: ['13-11=2', '44/2=22']
Exploring Operation: 69+22=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
70,
32,
20,
2
] | 29 | [
"70-32=38",
"20+38=58",
"58/2=29"
] | Current State: 29:[70, 32, 20, 2], Operations: []
Exploring Operation: 70-32=38, Resulting Numbers: [20, 2, 38]
Generated Node #2: [20, 2, 38] from Operation: 70-32=38
Current State: 29:[20, 2, 38], Operations: ['70-32=38']
Exploring Operation: 20+38=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 20+38=58
Current State: 29:[2, 58], Operations: ['70-32=38', '20+38=58']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
37,
7,
50,
88
] | 68 | [
"37-7=30",
"88-50=38",
"30+38=68"
] | Current State: 68:[37, 7, 50, 88], Operations: []
Exploring Operation: 37-7=30, Resulting Numbers: [50, 88, 30]
Generated Node #2: [50, 88, 30] from Operation: 37-7=30
Current State: 68:[50, 88, 30], Operations: ['37-7=30']
Exploring Operation: 88-50=38, Resulting Numbers: [30, 38]
Generated Node #3: [30, 38] from Operation: 88-50=38
Current State: 68:[30, 38], Operations: ['37-7=30', '88-50=38']
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
59,
57,
53,
5
] | 16 | [
"59+5=64",
"57-53=4",
"64/4=16"
] | Current State: 16:[59, 57, 53, 5], Operations: []
Exploring Operation: 59+5=64, Resulting Numbers: [57, 53, 64]
Generated Node #2: [57, 53, 64] from Operation: 59+5=64
Current State: 16:[57, 53, 64], Operations: ['59+5=64']
Exploring Operation: 57-53=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 57-53=4
Current State: 16:[64, 4], Operations: ['59+5=64', '57-53=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
92,
35,
35,
28
] | 92 | [
"35-35=0",
"28*0=0",
"92+0=92"
] | Current State: 92:[92, 35, 35, 28], Operations: []
Exploring Operation: 35-35=0, Resulting Numbers: [92, 28, 0]
Generated Node #2: [92, 28, 0] from Operation: 35-35=0
Current State: 92:[92, 28, 0], Operations: ['35-35=0']
Exploring Operation: 28*0=0, Resulting Numbers: [92, 0]
Generated Node #3: [92, 0] from Operation: 28*0=0
Current State: 92:[92, 0], Operations: ['35-35=0', '28*0=0']
Exploring Operation: 92+0=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
69,
13,
85,
71
] | 74 | [
"69+13=82",
"85+71=156",
"156-82=74"
] | Current State: 74:[69, 13, 85, 71], Operations: []
Exploring Operation: 69+13=82, Resulting Numbers: [85, 71, 82]
Generated Node #2: [85, 71, 82] from Operation: 69+13=82
Current State: 74:[85, 71, 82], Operations: ['69+13=82']
Exploring Operation: 85+71=156, Resulting Numbers: [82, 156]
Generated Node #3: [82, 156] from Operation: 85+71=156
Current State: 74:[82, 156], Operations: ['69+13=82', '85+71=156']
Exploring Operation: 156-82=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
86,
82,
69,
39
] | 89 | [
"82-69=13",
"39/13=3",
"86+3=89"
] | Current State: 89:[86, 82, 69, 39], Operations: []
Exploring Operation: 82-69=13, Resulting Numbers: [86, 39, 13]
Generated Node #2: [86, 39, 13] from Operation: 82-69=13
Current State: 89:[86, 39, 13], Operations: ['82-69=13']
Exploring Operation: 39/13=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 39/13=3
Current State: 89:[86, 3], Operations: ['82-69=13', '39/13=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
28,
65,
70,
14
] | 68 | [
"70-28=42",
"42/14=3",
"65+3=68"
] | Current State: 68:[28, 65, 70, 14], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [65, 14, 42]
Generated Node #2: [65, 14, 42] from Operation: 70-28=42
Current State: 68:[65, 14, 42], Operations: ['70-28=42']
Exploring Operation: 42/14=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 42/14=3
Current State: 68:[65, 3], Operations: ['70-28=42', '42/14=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
19,
8,
4
] | 71 | [
"54+19=73",
"8/4=2",
"73-2=71"
] | Current State: 71:[54, 19, 8, 4], Operations: []
Exploring Operation: 54+19=73, Resulting Numbers: [8, 4, 73]
Generated Node #2: [8, 4, 73] from Operation: 54+19=73
Current State: 71:[8, 4, 73], Operations: ['54+19=73']
Exploring Operation: 8/4=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 8/4=2
Current State: 71:[73, 2], Operations: ['54+19=73', '8/4=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
48,
18,
71,
8
] | 47 | [
"48/8=6",
"71-18=53",
"53-6=47"
] | Current State: 47:[48, 18, 71, 8], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [18, 71, 6]
Generated Node #2: [18, 71, 6] from Operation: 48/8=6
Current State: 47:[18, 71, 6], Operations: ['48/8=6']
Exploring Operation: 71-18=53, Resulting Numbers: [6, 53]
Generated Node #3: [6, 53] from Operation: 71-18=53
Current State: 47:[6, 53], Operations: ['48/8=6', '71-18=53']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
98,
54,
7,
5
] | 21 | [
"98+54=152",
"152-5=147",
"147/7=21"
] | Current State: 21:[98, 54, 7, 5], Operations: []
Exploring Operation: 98+54=152, Resulting Numbers: [7, 5, 152]
Generated Node #2: [7, 5, 152] from Operation: 98+54=152
Current State: 21:[7, 5, 152], Operations: ['98+54=152']
Exploring Operation: 152-5=147, Resulting Numbers: [7, 147]
Generated Node #3: [7, 147] from Operation: 152-5=147
Current State: 21:[7, 147], Operations: ['98+54=152', '152-5=147']
Exploring Operation: 147/7=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
29,
59,
36,
59
] | 66 | [
"29+36=65",
"59/59=1",
"65+1=66"
] | Current State: 66:[29, 59, 36, 59], Operations: []
Exploring Operation: 29+36=65, Resulting Numbers: [59, 59, 65]
Generated Node #2: [59, 59, 65] from Operation: 29+36=65
Current State: 66:[59, 59, 65], Operations: ['29+36=65']
Exploring Operation: 59/59=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 59/59=1
Current State: 66:[65, 1], Operations: ['29+36=65', '59/59=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
52,
2,
57,
37
] | 92 | [
"57-37=20",
"2*20=40",
"52+40=92"
] | Current State: 92:[52, 2, 57, 37], Operations: []
Exploring Operation: 57-37=20, Resulting Numbers: [52, 2, 20]
Generated Node #2: [52, 2, 20] from Operation: 57-37=20
Current State: 92:[52, 2, 20], Operations: ['57-37=20']
Exploring Operation: 2*20=40, Resulting Numbers: [52, 40]
Generated Node #3: [52, 40] from Operation: 2*20=40
Current State: 92:[52, 40], Operations: ['57-37=20', '2*20=40']
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
56,
86,
50,
78
] | 88 | [
"78-50=28",
"56/28=2",
"86+2=88"
] | Current State: 88:[56, 86, 50, 78], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [56, 86, 28]
Generated Node #2: [56, 86, 28] from Operation: 78-50=28
Current State: 88:[56, 86, 28], Operations: ['78-50=28']
Exploring Operation: 56/28=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 56/28=2
Current State: 88:[86, 2], Operations: ['78-50=28', '56/28=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
44,
5,
89,
7
] | 95 | [
"44+89=133",
"5*133=665",
"665/7=95"
] | Current State: 95:[44, 5, 89, 7], Operations: []
Exploring Operation: 44+89=133, Resulting Numbers: [5, 7, 133]
Generated Node #2: [5, 7, 133] from Operation: 44+89=133
Current State: 95:[5, 7, 133], Operations: ['44+89=133']
Exploring Operation: 5*133=665, Resulting Numbers: [7, 665]
Generated Node #3: [7, 665] from Operation: 5*133=665
Current State: 95:[7, 665], Operations: ['44+89=133', '5*133=665']
Exploring Operation: 665/7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
66,
85,
67,
14
] | 100 | [
"85-66=19",
"67+14=81",
"19+81=100"
] | Current State: 100:[66, 85, 67, 14], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [67, 14, 19]
Generated Node #2: [67, 14, 19] from Operation: 85-66=19
Current State: 100:[67, 14, 19], Operations: ['85-66=19']
Exploring Operation: 67+14=81, Resulting Numbers: [19, 81]
Generated Node #3: [19, 81] from Operation: 67+14=81
Current State: 100:[19, 81], Operations: ['85-66=19', '67+14=81']
Exploring Operation: 19+81=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
75,
20,
3,
71
] | 66 | [
"75/3=25",
"20+71=91",
"91-25=66"
] | Current State: 66:[75, 20, 3, 71], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [20, 71, 25]
Generated Node #2: [20, 71, 25] from Operation: 75/3=25
Current State: 66:[20, 71, 25], Operations: ['75/3=25']
Exploring Operation: 20+71=91, Resulting Numbers: [25, 91]
Generated Node #3: [25, 91] from Operation: 20+71=91
Current State: 66:[25, 91], Operations: ['75/3=25', '20+71=91']
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
11,
11,
13,
43
] | 52 | [
"11+11=22",
"43-13=30",
"22+30=52"
] | Current State: 52:[11, 11, 13, 43], Operations: []
Exploring Operation: 11+11=22, Resulting Numbers: [13, 43, 22]
Generated Node #2: [13, 43, 22] from Operation: 11+11=22
Current State: 52:[13, 43, 22], Operations: ['11+11=22']
Exploring Operation: 43-13=30, Resulting Numbers: [22, 30]
Generated Node #3: [22, 30] from Operation: 43-13=30
Current State: 52:[22, 30], Operations: ['11+11=22', '43-13=30']
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
62,
72,
16,
82
] | 98 | [
"82-72=10",
"16*10=160",
"160-62=98"
] | Current State: 98:[62, 72, 16, 82], Operations: []
Exploring Operation: 82-72=10, Resulting Numbers: [62, 16, 10]
Generated Node #2: [62, 16, 10] from Operation: 82-72=10
Current State: 98:[62, 16, 10], Operations: ['82-72=10']
Exploring Operation: 16*10=160, Resulting Numbers: [62, 160]
Generated Node #3: [62, 160] from Operation: 16*10=160
Current State: 98:[62, 160], Operations: ['82-72=10', '16*10=160']
Exploring Operation: 160-62=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
94,
49,
36,
65
] | 74 | [
"94-49=45",
"65-36=29",
"45+29=74"
] | Current State: 74:[94, 49, 36, 65], Operations: []
Exploring Operation: 94-49=45, Resulting Numbers: [36, 65, 45]
Generated Node #2: [36, 65, 45] from Operation: 94-49=45
Current State: 74:[36, 65, 45], Operations: ['94-49=45']
Exploring Operation: 65-36=29, Resulting Numbers: [45, 29]
Generated Node #3: [45, 29] from Operation: 65-36=29
Current State: 74:[45, 29], Operations: ['94-49=45', '65-36=29']
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
23,
6,
15,
70
] | 53 | [
"23*6=138",
"15+70=85",
"138-85=53"
] | Current State: 53:[23, 6, 15, 70], Operations: []
Exploring Operation: 23*6=138, Resulting Numbers: [15, 70, 138]
Generated Node #2: [15, 70, 138] from Operation: 23*6=138
Current State: 53:[15, 70, 138], Operations: ['23*6=138']
Exploring Operation: 15+70=85, Resulting Numbers: [138, 85]
Generated Node #3: [138, 85] from Operation: 15+70=85
Current State: 53:[138, 85], Operations: ['23*6=138', '15+70=85']
Exploring Operation: 138-85=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
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