nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
66,
99,
52,
3
] | 75 | [
"99*52=5148",
"5148/66=78",
"78-3=75"
] | Current State: 75:[66, 99, 52, 3], Operations: []
Exploring Operation: 99*52=5148, Resulting Numbers: [66, 3, 5148]
Generated Node #2: [66, 3, 5148] from Operation: 99*52=5148
Current State: 75:[66, 3, 5148], Operations: ['99*52=5148']
Exploring Operation: 5148/66=78, Resulting Numbers: [3, 78]
Generated Node #3: [3, 78] from Operation: 5148/66=78
Current State: 75:[3, 78], Operations: ['99*52=5148', '5148/66=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
36,
50,
58,
2
] | 88 | [
"50-36=14",
"58-14=44",
"2*44=88"
] | Current State: 88:[36, 50, 58, 2], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [58, 2, 14]
Generated Node #2: [58, 2, 14] from Operation: 50-36=14
Current State: 88:[58, 2, 14], Operations: ['50-36=14']
Exploring Operation: 58-14=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 58-14=44
Current State: 88:[2, 44], Operations: ['50-36=14', '58-14=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
9,
6,
76,
93
] | 99 | [
"6+76=82",
"93-82=11",
"9*11=99"
] | Current State: 99:[9, 6, 76, 93], Operations: []
Exploring Operation: 6+76=82, Resulting Numbers: [9, 93, 82]
Generated Node #2: [9, 93, 82] from Operation: 6+76=82
Current State: 99:[9, 93, 82], Operations: ['6+76=82']
Exploring Operation: 93-82=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 93-82=11
Current State: 99:[9, 11], Operations: ['6+76=82', '93-82=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
24,
74,
27,
76
] | 15 | [
"76-74=2",
"24/2=12",
"27-12=15"
] | Current State: 15:[24, 74, 27, 76], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [24, 27, 2]
Generated Node #2: [24, 27, 2] from Operation: 76-74=2
Current State: 15:[24, 27, 2], Operations: ['76-74=2']
Exploring Operation: 24/2=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 24/2=12
Current State: 15:[27, 12], Operations: ['76-74=2', '24/2=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
27,
4,
39,
9
] | 61 | [
"27+4=31",
"39-9=30",
"31+30=61"
] | Current State: 61:[27, 4, 39, 9], Operations: []
Exploring Operation: 27+4=31, Resulting Numbers: [39, 9, 31]
Generated Node #2: [39, 9, 31] from Operation: 27+4=31
Current State: 61:[39, 9, 31], Operations: ['27+4=31']
Exploring Operation: 39-9=30, Resulting Numbers: [31, 30]
Generated Node #3: [31, 30] from Operation: 39-9=30
Current State: 61:[31, 30], Operations: ['27+4=31', '39-9=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
98,
71,
16,
29
] | 13 | [
"98+71=169",
"29-16=13",
"169/13=13"
] | Current State: 13:[98, 71, 16, 29], Operations: []
Exploring Operation: 98+71=169, Resulting Numbers: [16, 29, 169]
Generated Node #2: [16, 29, 169] from Operation: 98+71=169
Current State: 13:[16, 29, 169], Operations: ['98+71=169']
Exploring Operation: 29-16=13, Resulting Numbers: [169, 13]
Generated Node #3: [169, 13] from Operation: 29-16=13
Current State: 13:[169, 13], Operations: ['98+71=169', '29-16=13']
Exploring Operation: 169/13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
40,
96,
22,
76
] | 24 | [
"96-76=20",
"40/20=2",
"22+2=24"
] | Current State: 24:[40, 96, 22, 76], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [40, 22, 20]
Generated Node #2: [40, 22, 20] from Operation: 96-76=20
Current State: 24:[40, 22, 20], Operations: ['96-76=20']
Exploring Operation: 40/20=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 40/20=2
Current State: 24:[22, 2], Operations: ['96-76=20', '40/20=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
74,
32,
64,
46
] | 97 | [
"64/32=2",
"46/2=23",
"74+23=97"
] | Current State: 97:[74, 32, 64, 46], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [74, 46, 2]
Generated Node #2: [74, 46, 2] from Operation: 64/32=2
Current State: 97:[74, 46, 2], Operations: ['64/32=2']
Exploring Operation: 46/2=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 46/2=23
Current State: 97:[74, 23], Operations: ['64/32=2', '46/2=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
83,
96,
41,
92
] | 46 | [
"83+96=179",
"41+92=133",
"179-133=46"
] | Current State: 46:[83, 96, 41, 92], Operations: []
Exploring Operation: 83+96=179, Resulting Numbers: [41, 92, 179]
Generated Node #2: [41, 92, 179] from Operation: 83+96=179
Current State: 46:[41, 92, 179], Operations: ['83+96=179']
Exploring Operation: 41+92=133, Resulting Numbers: [179, 133]
Generated Node #3: [179, 133] from Operation: 41+92=133
Current State: 46:[179, 133], Operations: ['83+96=179', '41+92=133']
Exploring Operation: 179-133=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
36,
28,
14,
6
] | 92 | [
"36-28=8",
"14*6=84",
"8+84=92"
] | Current State: 92:[36, 28, 14, 6], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [14, 6, 8]
Generated Node #2: [14, 6, 8] from Operation: 36-28=8
Current State: 92:[14, 6, 8], Operations: ['36-28=8']
Exploring Operation: 14*6=84, Resulting Numbers: [8, 84]
Generated Node #3: [8, 84] from Operation: 14*6=84
Current State: 92:[8, 84], Operations: ['36-28=8', '14*6=84']
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
12,
84,
63
] | 34 | [
"12*84=1008",
"1008/63=16",
"18+16=34"
] | Current State: 34:[18, 12, 84, 63], Operations: []
Exploring Operation: 12*84=1008, Resulting Numbers: [18, 63, 1008]
Generated Node #2: [18, 63, 1008] from Operation: 12*84=1008
Current State: 34:[18, 63, 1008], Operations: ['12*84=1008']
Exploring Operation: 1008/63=16, Resulting Numbers: [18, 16]
Generated Node #3: [18, 16] from Operation: 1008/63=16
Current State: 34:[18, 16], Operations: ['12*84=1008', '1008/63=16']
Exploring Operation: 18+16=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
91,
3,
17,
11
] | 75 | [
"91+17=108",
"3*11=33",
"108-33=75"
] | Current State: 75:[91, 3, 17, 11], Operations: []
Exploring Operation: 91+17=108, Resulting Numbers: [3, 11, 108]
Generated Node #2: [3, 11, 108] from Operation: 91+17=108
Current State: 75:[3, 11, 108], Operations: ['91+17=108']
Exploring Operation: 3*11=33, Resulting Numbers: [108, 33]
Generated Node #3: [108, 33] from Operation: 3*11=33
Current State: 75:[108, 33], Operations: ['91+17=108', '3*11=33']
Exploring Operation: 108-33=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
20,
59,
29,
4
] | 46 | [
"20+59=79",
"29+4=33",
"79-33=46"
] | Current State: 46:[20, 59, 29, 4], Operations: []
Exploring Operation: 20+59=79, Resulting Numbers: [29, 4, 79]
Generated Node #2: [29, 4, 79] from Operation: 20+59=79
Current State: 46:[29, 4, 79], Operations: ['20+59=79']
Exploring Operation: 29+4=33, Resulting Numbers: [79, 33]
Generated Node #3: [79, 33] from Operation: 29+4=33
Current State: 46:[79, 33], Operations: ['20+59=79', '29+4=33']
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
98,
91,
42,
8
] | 15 | [
"91*8=728",
"728-98=630",
"630/42=15"
] | Current State: 15:[98, 91, 42, 8], Operations: []
Exploring Operation: 91*8=728, Resulting Numbers: [98, 42, 728]
Generated Node #2: [98, 42, 728] from Operation: 91*8=728
Current State: 15:[98, 42, 728], Operations: ['91*8=728']
Exploring Operation: 728-98=630, Resulting Numbers: [42, 630]
Generated Node #3: [42, 630] from Operation: 728-98=630
Current State: 15:[42, 630], Operations: ['91*8=728', '728-98=630']
Exploring Operation: 630/42=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
69,
87,
51,
46
] | 90 | [
"87-69=18",
"51-46=5",
"18*5=90"
] | Current State: 90:[69, 87, 51, 46], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [51, 46, 18]
Generated Node #2: [51, 46, 18] from Operation: 87-69=18
Current State: 90:[51, 46, 18], Operations: ['87-69=18']
Exploring Operation: 51-46=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 51-46=5
Current State: 90:[18, 5], Operations: ['87-69=18', '51-46=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
73,
6,
56,
4
] | 62 | [
"73-56=17",
"4*17=68",
"68-6=62"
] | Current State: 62:[73, 6, 56, 4], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [6, 4, 17]
Generated Node #2: [6, 4, 17] from Operation: 73-56=17
Current State: 62:[6, 4, 17], Operations: ['73-56=17']
Exploring Operation: 4*17=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 4*17=68
Current State: 62:[6, 68], Operations: ['73-56=17', '4*17=68']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
11,
88,
10,
3
] | 86 | [
"11+88=99",
"10+3=13",
"99-13=86"
] | Current State: 86:[11, 88, 10, 3], Operations: []
Exploring Operation: 11+88=99, Resulting Numbers: [10, 3, 99]
Generated Node #2: [10, 3, 99] from Operation: 11+88=99
Current State: 86:[10, 3, 99], Operations: ['11+88=99']
Exploring Operation: 10+3=13, Resulting Numbers: [99, 13]
Generated Node #3: [99, 13] from Operation: 10+3=13
Current State: 86:[99, 13], Operations: ['11+88=99', '10+3=13']
Exploring Operation: 99-13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
22,
35,
11,
74
] | 69 | [
"35-22=13",
"11*13=143",
"143-74=69"
] | Current State: 69:[22, 35, 11, 74], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [11, 74, 13]
Generated Node #2: [11, 74, 13] from Operation: 35-22=13
Current State: 69:[11, 74, 13], Operations: ['35-22=13']
Exploring Operation: 11*13=143, Resulting Numbers: [74, 143]
Generated Node #3: [74, 143] from Operation: 11*13=143
Current State: 69:[74, 143], Operations: ['35-22=13', '11*13=143']
Exploring Operation: 143-74=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
69,
9,
79,
43
] | 96 | [
"69-9=60",
"79-43=36",
"60+36=96"
] | Current State: 96:[69, 9, 79, 43], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [79, 43, 60]
Generated Node #2: [79, 43, 60] from Operation: 69-9=60
Current State: 96:[79, 43, 60], Operations: ['69-9=60']
Exploring Operation: 79-43=36, Resulting Numbers: [60, 36]
Generated Node #3: [60, 36] from Operation: 79-43=36
Current State: 96:[60, 36], Operations: ['69-9=60', '79-43=36']
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
19,
93,
53,
2
] | 32 | [
"93-19=74",
"53*2=106",
"106-74=32"
] | Current State: 32:[19, 93, 53, 2], Operations: []
Exploring Operation: 93-19=74, Resulting Numbers: [53, 2, 74]
Generated Node #2: [53, 2, 74] from Operation: 93-19=74
Current State: 32:[53, 2, 74], Operations: ['93-19=74']
Exploring Operation: 53*2=106, Resulting Numbers: [74, 106]
Generated Node #3: [74, 106] from Operation: 53*2=106
Current State: 32:[74, 106], Operations: ['93-19=74', '53*2=106']
Exploring Operation: 106-74=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
2,
61,
21,
46
] | 65 | [
"2*21=42",
"61+46=107",
"107-42=65"
] | Current State: 65:[2, 61, 21, 46], Operations: []
Exploring Operation: 2*21=42, Resulting Numbers: [61, 46, 42]
Generated Node #2: [61, 46, 42] from Operation: 2*21=42
Current State: 65:[61, 46, 42], Operations: ['2*21=42']
Exploring Operation: 61+46=107, Resulting Numbers: [42, 107]
Generated Node #3: [42, 107] from Operation: 61+46=107
Current State: 65:[42, 107], Operations: ['2*21=42', '61+46=107']
Exploring Operation: 107-42=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
24,
51,
3,
72
] | 57 | [
"24+72=96",
"51*3=153",
"153-96=57"
] | Current State: 57:[24, 51, 3, 72], Operations: []
Exploring Operation: 24+72=96, Resulting Numbers: [51, 3, 96]
Generated Node #2: [51, 3, 96] from Operation: 24+72=96
Current State: 57:[51, 3, 96], Operations: ['24+72=96']
Exploring Operation: 51*3=153, Resulting Numbers: [96, 153]
Generated Node #3: [96, 153] from Operation: 51*3=153
Current State: 57:[96, 153], Operations: ['24+72=96', '51*3=153']
Exploring Operation: 153-96=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
68,
20,
84,
54
] | 58 | [
"68+20=88",
"84-54=30",
"88-30=58"
] | Current State: 58:[68, 20, 84, 54], Operations: []
Exploring Operation: 68+20=88, Resulting Numbers: [84, 54, 88]
Generated Node #2: [84, 54, 88] from Operation: 68+20=88
Current State: 58:[84, 54, 88], Operations: ['68+20=88']
Exploring Operation: 84-54=30, Resulting Numbers: [88, 30]
Generated Node #3: [88, 30] from Operation: 84-54=30
Current State: 58:[88, 30], Operations: ['68+20=88', '84-54=30']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
31,
30,
40,
29
] | 100 | [
"31-29=2",
"30*2=60",
"40+60=100"
] | Current State: 100:[31, 30, 40, 29], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [30, 40, 2]
Generated Node #2: [30, 40, 2] from Operation: 31-29=2
Current State: 100:[30, 40, 2], Operations: ['31-29=2']
Exploring Operation: 30*2=60, Resulting Numbers: [40, 60]
Generated Node #3: [40, 60] from Operation: 30*2=60
Current State: 100:[40, 60], Operations: ['31-29=2', '30*2=60']
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
91,
45,
55,
8
] | 11 | [
"55-45=10",
"8*10=80",
"91-80=11"
] | Current State: 11:[91, 45, 55, 8], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [91, 8, 10]
Generated Node #2: [91, 8, 10] from Operation: 55-45=10
Current State: 11:[91, 8, 10], Operations: ['55-45=10']
Exploring Operation: 8*10=80, Resulting Numbers: [91, 80]
Generated Node #3: [91, 80] from Operation: 8*10=80
Current State: 11:[91, 80], Operations: ['55-45=10', '8*10=80']
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
94,
56,
53
] | 82 | [
"56-54=2",
"94-53=41",
"2*41=82"
] | Current State: 82:[54, 94, 56, 53], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [94, 53, 2]
Generated Node #2: [94, 53, 2] from Operation: 56-54=2
Current State: 82:[94, 53, 2], Operations: ['56-54=2']
Exploring Operation: 94-53=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 94-53=41
Current State: 82:[2, 41], Operations: ['56-54=2', '94-53=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
43,
2,
43,
35
] | 78 | [
"43*2=86",
"43-35=8",
"86-8=78"
] | Current State: 78:[43, 2, 43, 35], Operations: []
Exploring Operation: 43*2=86, Resulting Numbers: [35, 86]
Generated Node #2: [35, 86] from Operation: 43*2=86
Current State: 78:[35, 86], Operations: ['43*2=86']
Exploring Operation: 43-35=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 43-35=8
Current State: 78:[86, 8], Operations: ['43*2=86', '43-35=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
65,
6,
56,
12
] | 74 | [
"65*12=780",
"780/6=130",
"130-56=74"
] | Current State: 74:[65, 6, 56, 12], Operations: []
Exploring Operation: 65*12=780, Resulting Numbers: [6, 56, 780]
Generated Node #2: [6, 56, 780] from Operation: 65*12=780
Current State: 74:[6, 56, 780], Operations: ['65*12=780']
Exploring Operation: 780/6=130, Resulting Numbers: [56, 130]
Generated Node #3: [56, 130] from Operation: 780/6=130
Current State: 74:[56, 130], Operations: ['65*12=780', '780/6=130']
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
79,
95,
61,
92
] | 54 | [
"79-61=18",
"95-92=3",
"18*3=54"
] | Current State: 54:[79, 95, 61, 92], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [95, 92, 18]
Generated Node #2: [95, 92, 18] from Operation: 79-61=18
Current State: 54:[95, 92, 18], Operations: ['79-61=18']
Exploring Operation: 95-92=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 95-92=3
Current State: 54:[18, 3], Operations: ['79-61=18', '95-92=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
11,
16,
55,
73
] | 88 | [
"55+73=128",
"11*128=1408",
"1408/16=88"
] | Current State: 88:[11, 16, 55, 73], Operations: []
Exploring Operation: 55+73=128, Resulting Numbers: [11, 16, 128]
Generated Node #2: [11, 16, 128] from Operation: 55+73=128
Current State: 88:[11, 16, 128], Operations: ['55+73=128']
Exploring Operation: 11*128=1408, Resulting Numbers: [16, 1408]
Generated Node #3: [16, 1408] from Operation: 11*128=1408
Current State: 88:[16, 1408], Operations: ['55+73=128', '11*128=1408']
Exploring Operation: 1408/16=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
24,
50,
67,
25
] | 68 | [
"50-24=26",
"67-25=42",
"26+42=68"
] | Current State: 68:[24, 50, 67, 25], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [67, 25, 26]
Generated Node #2: [67, 25, 26] from Operation: 50-24=26
Current State: 68:[67, 25, 26], Operations: ['50-24=26']
Exploring Operation: 67-25=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 67-25=42
Current State: 68:[26, 42], Operations: ['50-24=26', '67-25=42']
Exploring Operation: 26+42=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
56,
66,
6,
46
] | 62 | [
"66-56=10",
"6+46=52",
"10+52=62"
] | Current State: 62:[56, 66, 6, 46], Operations: []
Exploring Operation: 66-56=10, Resulting Numbers: [6, 46, 10]
Generated Node #2: [6, 46, 10] from Operation: 66-56=10
Current State: 62:[6, 46, 10], Operations: ['66-56=10']
Exploring Operation: 6+46=52, Resulting Numbers: [10, 52]
Generated Node #3: [10, 52] from Operation: 6+46=52
Current State: 62:[10, 52], Operations: ['66-56=10', '6+46=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
78,
7,
90,
7
] | 77 | [
"90-78=12",
"7*12=84",
"84-7=77"
] | Current State: 77:[78, 7, 90, 7], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [7, 7, 12]
Generated Node #2: [7, 7, 12] from Operation: 90-78=12
Current State: 77:[7, 7, 12], Operations: ['90-78=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,77 equal: Goal Reached
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
73,
3,
25,
42
] | 18 | [
"73-25=48",
"48-42=6",
"3*6=18"
] | Current State: 18:[73, 3, 25, 42], Operations: []
Exploring Operation: 73-25=48, Resulting Numbers: [3, 42, 48]
Generated Node #2: [3, 42, 48] from Operation: 73-25=48
Current State: 18:[3, 42, 48], Operations: ['73-25=48']
Exploring Operation: 48-42=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 48-42=6
Current State: 18:[3, 6], Operations: ['73-25=48', '48-42=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
77,
78,
89
] | 94 | [
"6+77=83",
"89-78=11",
"83+11=94"
] | Current State: 94:[6, 77, 78, 89], Operations: []
Exploring Operation: 6+77=83, Resulting Numbers: [78, 89, 83]
Generated Node #2: [78, 89, 83] from Operation: 6+77=83
Current State: 94:[78, 89, 83], Operations: ['6+77=83']
Exploring Operation: 89-78=11, Resulting Numbers: [83, 11]
Generated Node #3: [83, 11] from Operation: 89-78=11
Current State: 94:[83, 11], Operations: ['6+77=83', '89-78=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
20,
37,
51
] | 44 | [
"64-20=44",
"37+51=88",
"88-44=44"
] | Current State: 44:[64, 20, 37, 51], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [37, 51, 44]
Generated Node #2: [37, 51, 44] from Operation: 64-20=44
Current State: 44:[37, 51, 44], Operations: ['64-20=44']
Exploring Operation: 37+51=88, Resulting Numbers: [44, 88]
Generated Node #3: [44, 88] from Operation: 37+51=88
Current State: 44:[44, 88], Operations: ['64-20=44', '37+51=88']
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
78,
95,
8,
56
] | 76 | [
"78-8=70",
"95*56=5320",
"5320/70=76"
] | Current State: 76:[78, 95, 8, 56], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [95, 56, 70]
Generated Node #2: [95, 56, 70] from Operation: 78-8=70
Current State: 76:[95, 56, 70], Operations: ['78-8=70']
Exploring Operation: 95*56=5320, Resulting Numbers: [70, 5320]
Generated Node #3: [70, 5320] from Operation: 95*56=5320
Current State: 76:[70, 5320], Operations: ['78-8=70', '95*56=5320']
Exploring Operation: 5320/70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
22,
96,
1,
19
] | 55 | [
"96-22=74",
"1*19=19",
"74-19=55"
] | Current State: 55:[22, 96, 1, 19], Operations: []
Exploring Operation: 96-22=74, Resulting Numbers: [1, 19, 74]
Generated Node #2: [1, 19, 74] from Operation: 96-22=74
Current State: 55:[1, 19, 74], Operations: ['96-22=74']
Exploring Operation: 1*19=19, Resulting Numbers: [74, 19]
Generated Node #3: [74, 19] from Operation: 1*19=19
Current State: 55:[74, 19], Operations: ['96-22=74', '1*19=19']
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
3,
77,
78,
85
] | 67 | [
"77-3=74",
"85-78=7",
"74-7=67"
] | Current State: 67:[3, 77, 78, 85], Operations: []
Exploring Operation: 77-3=74, Resulting Numbers: [78, 85, 74]
Generated Node #2: [78, 85, 74] from Operation: 77-3=74
Current State: 67:[78, 85, 74], Operations: ['77-3=74']
Exploring Operation: 85-78=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 85-78=7
Current State: 67:[74, 7], Operations: ['77-3=74', '85-78=7']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
21,
4,
31,
69
] | 56 | [
"21+31=52",
"52/4=13",
"69-13=56"
] | Current State: 56:[21, 4, 31, 69], Operations: []
Exploring Operation: 21+31=52, Resulting Numbers: [4, 69, 52]
Generated Node #2: [4, 69, 52] from Operation: 21+31=52
Current State: 56:[4, 69, 52], Operations: ['21+31=52']
Exploring Operation: 52/4=13, Resulting Numbers: [69, 13]
Generated Node #3: [69, 13] from Operation: 52/4=13
Current State: 56:[69, 13], Operations: ['21+31=52', '52/4=13']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
2,
47,
53,
15
] | 13 | [
"53+15=68",
"68/2=34",
"47-34=13"
] | Current State: 13:[2, 47, 53, 15], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [2, 47, 68]
Generated Node #2: [2, 47, 68] from Operation: 53+15=68
Current State: 13:[2, 47, 68], Operations: ['53+15=68']
Exploring Operation: 68/2=34, Resulting Numbers: [47, 34]
Generated Node #3: [47, 34] from Operation: 68/2=34
Current State: 13:[47, 34], Operations: ['53+15=68', '68/2=34']
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
10,
26,
15,
73
] | 73 | [
"26-10=16",
"16-15=1",
"73*1=73"
] | Current State: 73:[10, 26, 15, 73], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [15, 73, 16]
Generated Node #2: [15, 73, 16] from Operation: 26-10=16
Current State: 73:[15, 73, 16], Operations: ['26-10=16']
Exploring Operation: 16-15=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 16-15=1
Current State: 73:[73, 1], Operations: ['26-10=16', '16-15=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
46,
10,
33,
14
] | 42 | [
"46-10=36",
"36-33=3",
"14*3=42"
] | Current State: 42:[46, 10, 33, 14], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [33, 14, 36]
Generated Node #2: [33, 14, 36] from Operation: 46-10=36
Current State: 42:[33, 14, 36], Operations: ['46-10=36']
Exploring Operation: 36-33=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 36-33=3
Current State: 42:[14, 3], Operations: ['46-10=36', '36-33=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
5,
3,
62,
87
] | 10 | [
"5*3=15",
"87-62=25",
"25-15=10"
] | Current State: 10:[5, 3, 62, 87], Operations: []
Exploring Operation: 5*3=15, Resulting Numbers: [62, 87, 15]
Generated Node #2: [62, 87, 15] from Operation: 5*3=15
Current State: 10:[62, 87, 15], Operations: ['5*3=15']
Exploring Operation: 87-62=25, Resulting Numbers: [15, 25]
Generated Node #3: [15, 25] from Operation: 87-62=25
Current State: 10:[15, 25], Operations: ['5*3=15', '87-62=25']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
25,
19,
71,
46
] | 69 | [
"25+19=44",
"71-46=25",
"44+25=69"
] | Current State: 69:[25, 19, 71, 46], Operations: []
Exploring Operation: 25+19=44, Resulting Numbers: [71, 46, 44]
Generated Node #2: [71, 46, 44] from Operation: 25+19=44
Current State: 69:[71, 46, 44], Operations: ['25+19=44']
Exploring Operation: 71-46=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 71-46=25
Current State: 69:[44, 25], Operations: ['25+19=44', '71-46=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
91,
23,
57,
10
] | 83 | [
"23+57=80",
"80/10=8",
"91-8=83"
] | Current State: 83:[91, 23, 57, 10], Operations: []
Exploring Operation: 23+57=80, Resulting Numbers: [91, 10, 80]
Generated Node #2: [91, 10, 80] from Operation: 23+57=80
Current State: 83:[91, 10, 80], Operations: ['23+57=80']
Exploring Operation: 80/10=8, Resulting Numbers: [91, 8]
Generated Node #3: [91, 8] from Operation: 80/10=8
Current State: 83:[91, 8], Operations: ['23+57=80', '80/10=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
81,
10,
82,
96
] | 59 | [
"96-82=14",
"10*14=140",
"140-81=59"
] | Current State: 59:[81, 10, 82, 96], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [81, 10, 14]
Generated Node #2: [81, 10, 14] from Operation: 96-82=14
Current State: 59:[81, 10, 14], Operations: ['96-82=14']
Exploring Operation: 10*14=140, Resulting Numbers: [81, 140]
Generated Node #3: [81, 140] from Operation: 10*14=140
Current State: 59:[81, 140], Operations: ['96-82=14', '10*14=140']
Exploring Operation: 140-81=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
96,
13,
29,
45
] | 32 | [
"13+29=42",
"45-42=3",
"96/3=32"
] | Current State: 32:[96, 13, 29, 45], Operations: []
Exploring Operation: 13+29=42, Resulting Numbers: [96, 45, 42]
Generated Node #2: [96, 45, 42] from Operation: 13+29=42
Current State: 32:[96, 45, 42], Operations: ['13+29=42']
Exploring Operation: 45-42=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 45-42=3
Current State: 32:[96, 3], Operations: ['13+29=42', '45-42=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
97,
2,
50,
58
] | 22 | [
"97-50=47",
"58-47=11",
"2*11=22"
] | Current State: 22:[97, 2, 50, 58], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [2, 58, 47]
Generated Node #2: [2, 58, 47] from Operation: 97-50=47
Current State: 22:[2, 58, 47], Operations: ['97-50=47']
Exploring Operation: 58-47=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 58-47=11
Current State: 22:[2, 11], Operations: ['97-50=47', '58-47=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
95,
50,
96,
51
] | 100 | [
"95+50=145",
"96-51=45",
"145-45=100"
] | Current State: 100:[95, 50, 96, 51], Operations: []
Exploring Operation: 95+50=145, Resulting Numbers: [96, 51, 145]
Generated Node #2: [96, 51, 145] from Operation: 95+50=145
Current State: 100:[96, 51, 145], Operations: ['95+50=145']
Exploring Operation: 96-51=45, Resulting Numbers: [145, 45]
Generated Node #3: [145, 45] from Operation: 96-51=45
Current State: 100:[145, 45], Operations: ['95+50=145', '96-51=45']
Exploring Operation: 145-45=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
28,
64,
51,
49
] | 72 | [
"64-28=36",
"51-49=2",
"36*2=72"
] | Current State: 72:[28, 64, 51, 49], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [51, 49, 36]
Generated Node #2: [51, 49, 36] from Operation: 64-28=36
Current State: 72:[51, 49, 36], Operations: ['64-28=36']
Exploring Operation: 51-49=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 51-49=2
Current State: 72:[36, 2], Operations: ['64-28=36', '51-49=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
6,
14,
44,
55
] | 73 | [
"6*14=84",
"55-44=11",
"84-11=73"
] | Current State: 73:[6, 14, 44, 55], Operations: []
Exploring Operation: 6*14=84, Resulting Numbers: [44, 55, 84]
Generated Node #2: [44, 55, 84] from Operation: 6*14=84
Current State: 73:[44, 55, 84], Operations: ['6*14=84']
Exploring Operation: 55-44=11, Resulting Numbers: [84, 11]
Generated Node #3: [84, 11] from Operation: 55-44=11
Current State: 73:[84, 11], Operations: ['6*14=84', '55-44=11']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
18,
24,
32,
90
] | 81 | [
"18+90=108",
"24*108=2592",
"2592/32=81"
] | Current State: 81:[18, 24, 32, 90], Operations: []
Exploring Operation: 18+90=108, Resulting Numbers: [24, 32, 108]
Generated Node #2: [24, 32, 108] from Operation: 18+90=108
Current State: 81:[24, 32, 108], Operations: ['18+90=108']
Exploring Operation: 24*108=2592, Resulting Numbers: [32, 2592]
Generated Node #3: [32, 2592] from Operation: 24*108=2592
Current State: 81:[32, 2592], Operations: ['18+90=108', '24*108=2592']
Exploring Operation: 2592/32=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
38,
26,
91,
97
] | 24 | [
"26*91=2366",
"2366-38=2328",
"2328/97=24"
] | Current State: 24:[38, 26, 91, 97], Operations: []
Exploring Operation: 26*91=2366, Resulting Numbers: [38, 97, 2366]
Generated Node #2: [38, 97, 2366] from Operation: 26*91=2366
Current State: 24:[38, 97, 2366], Operations: ['26*91=2366']
Exploring Operation: 2366-38=2328, Resulting Numbers: [97, 2328]
Generated Node #3: [97, 2328] from Operation: 2366-38=2328
Current State: 24:[97, 2328], Operations: ['26*91=2366', '2366-38=2328']
Exploring Operation: 2328/97=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
57,
23,
20
] | 21 | [
"61*20=1220",
"1220-23=1197",
"1197/57=21"
] | Current State: 21:[61, 57, 23, 20], Operations: []
Exploring Operation: 61*20=1220, Resulting Numbers: [57, 23, 1220]
Generated Node #2: [57, 23, 1220] from Operation: 61*20=1220
Current State: 21:[57, 23, 1220], Operations: ['61*20=1220']
Exploring Operation: 1220-23=1197, Resulting Numbers: [57, 1197]
Generated Node #3: [57, 1197] from Operation: 1220-23=1197
Current State: 21:[57, 1197], Operations: ['61*20=1220', '1220-23=1197']
Exploring Operation: 1197/57=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
97,
32,
89,
29
] | 53 | [
"97-32=65",
"89+29=118",
"118-65=53"
] | Current State: 53:[97, 32, 89, 29], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [89, 29, 65]
Generated Node #2: [89, 29, 65] from Operation: 97-32=65
Current State: 53:[89, 29, 65], Operations: ['97-32=65']
Exploring Operation: 89+29=118, Resulting Numbers: [65, 118]
Generated Node #3: [65, 118] from Operation: 89+29=118
Current State: 53:[65, 118], Operations: ['97-32=65', '89+29=118']
Exploring Operation: 118-65=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
48,
23,
44,
19
] | 76 | [
"48+44=92",
"92/23=4",
"19*4=76"
] | Current State: 76:[48, 23, 44, 19], Operations: []
Exploring Operation: 48+44=92, Resulting Numbers: [23, 19, 92]
Generated Node #2: [23, 19, 92] from Operation: 48+44=92
Current State: 76:[23, 19, 92], Operations: ['48+44=92']
Exploring Operation: 92/23=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 92/23=4
Current State: 76:[19, 4], Operations: ['48+44=92', '92/23=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
25,
59,
1,
46
] | 37 | [
"25+59=84",
"1+46=47",
"84-47=37"
] | Current State: 37:[25, 59, 1, 46], Operations: []
Exploring Operation: 25+59=84, Resulting Numbers: [1, 46, 84]
Generated Node #2: [1, 46, 84] from Operation: 25+59=84
Current State: 37:[1, 46, 84], Operations: ['25+59=84']
Exploring Operation: 1+46=47, Resulting Numbers: [84, 47]
Generated Node #3: [84, 47] from Operation: 1+46=47
Current State: 37:[84, 47], Operations: ['25+59=84', '1+46=47']
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
83,
70,
6,
51
] | 58 | [
"83-70=13",
"51-6=45",
"13+45=58"
] | Current State: 58:[83, 70, 6, 51], Operations: []
Exploring Operation: 83-70=13, Resulting Numbers: [6, 51, 13]
Generated Node #2: [6, 51, 13] from Operation: 83-70=13
Current State: 58:[6, 51, 13], Operations: ['83-70=13']
Exploring Operation: 51-6=45, Resulting Numbers: [13, 45]
Generated Node #3: [13, 45] from Operation: 51-6=45
Current State: 58:[13, 45], Operations: ['83-70=13', '51-6=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
74,
81,
43,
55
] | 27 | [
"74+55=129",
"81*43=3483",
"3483/129=27"
] | Current State: 27:[74, 81, 43, 55], Operations: []
Exploring Operation: 74+55=129, Resulting Numbers: [81, 43, 129]
Generated Node #2: [81, 43, 129] from Operation: 74+55=129
Current State: 27:[81, 43, 129], Operations: ['74+55=129']
Exploring Operation: 81*43=3483, Resulting Numbers: [129, 3483]
Generated Node #3: [129, 3483] from Operation: 81*43=3483
Current State: 27:[129, 3483], Operations: ['74+55=129', '81*43=3483']
Exploring Operation: 3483/129=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
9,
29,
24,
58
] | 30 | [
"24-9=15",
"58/29=2",
"15*2=30"
] | Current State: 30:[9, 29, 24, 58], Operations: []
Exploring Operation: 24-9=15, Resulting Numbers: [29, 58, 15]
Generated Node #2: [29, 58, 15] from Operation: 24-9=15
Current State: 30:[29, 58, 15], Operations: ['24-9=15']
Exploring Operation: 58/29=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 58/29=2
Current State: 30:[15, 2], Operations: ['24-9=15', '58/29=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
5,
63,
72,
2
] | 43 | [
"63-5=58",
"58/2=29",
"72-29=43"
] | Current State: 43:[5, 63, 72, 2], Operations: []
Exploring Operation: 63-5=58, Resulting Numbers: [72, 2, 58]
Generated Node #2: [72, 2, 58] from Operation: 63-5=58
Current State: 43:[72, 2, 58], Operations: ['63-5=58']
Exploring Operation: 58/2=29, Resulting Numbers: [72, 29]
Generated Node #3: [72, 29] from Operation: 58/2=29
Current State: 43:[72, 29], Operations: ['63-5=58', '58/2=29']
Exploring Operation: 72-29=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
98,
82,
5,
1
] | 79 | [
"98-82=16",
"5*16=80",
"80-1=79"
] | Current State: 79:[98, 82, 5, 1], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [5, 1, 16]
Generated Node #2: [5, 1, 16] from Operation: 98-82=16
Current State: 79:[5, 1, 16], Operations: ['98-82=16']
Exploring Operation: 5*16=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 5*16=80
Current State: 79:[1, 80], Operations: ['98-82=16', '5*16=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
3,
6,
25,
12
] | 27 | [
"12/3=4",
"6+25=31",
"31-4=27"
] | Current State: 27:[3, 6, 25, 12], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [6, 25, 4]
Generated Node #2: [6, 25, 4] from Operation: 12/3=4
Current State: 27:[6, 25, 4], Operations: ['12/3=4']
Exploring Operation: 6+25=31, Resulting Numbers: [4, 31]
Generated Node #3: [4, 31] from Operation: 6+25=31
Current State: 27:[4, 31], Operations: ['12/3=4', '6+25=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
48,
36,
49,
22
] | 64 | [
"48*36=1728",
"49-22=27",
"1728/27=64"
] | Current State: 64:[48, 36, 49, 22], Operations: []
Exploring Operation: 48*36=1728, Resulting Numbers: [49, 22, 1728]
Generated Node #2: [49, 22, 1728] from Operation: 48*36=1728
Current State: 64:[49, 22, 1728], Operations: ['48*36=1728']
Exploring Operation: 49-22=27, Resulting Numbers: [1728, 27]
Generated Node #3: [1728, 27] from Operation: 49-22=27
Current State: 64:[1728, 27], Operations: ['48*36=1728', '49-22=27']
Exploring Operation: 1728/27=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
17,
85,
48,
54
] | 96 | [
"17+85=102",
"54-48=6",
"102-6=96"
] | Current State: 96:[17, 85, 48, 54], Operations: []
Exploring Operation: 17+85=102, Resulting Numbers: [48, 54, 102]
Generated Node #2: [48, 54, 102] from Operation: 17+85=102
Current State: 96:[48, 54, 102], Operations: ['17+85=102']
Exploring Operation: 54-48=6, Resulting Numbers: [102, 6]
Generated Node #3: [102, 6] from Operation: 54-48=6
Current State: 96:[102, 6], Operations: ['17+85=102', '54-48=6']
Exploring Operation: 102-6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
3,
49,
18
] | 77 | [
"3+18=21",
"6*21=126",
"126-49=77"
] | Current State: 77:[6, 3, 49, 18], Operations: []
Exploring Operation: 3+18=21, Resulting Numbers: [6, 49, 21]
Generated Node #2: [6, 49, 21] from Operation: 3+18=21
Current State: 77:[6, 49, 21], Operations: ['3+18=21']
Exploring Operation: 6*21=126, Resulting Numbers: [49, 126]
Generated Node #3: [49, 126] from Operation: 6*21=126
Current State: 77:[49, 126], Operations: ['3+18=21', '6*21=126']
Exploring Operation: 126-49=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
70,
2,
39,
93
] | 55 | [
"93-70=23",
"2*39=78",
"78-23=55"
] | Current State: 55:[70, 2, 39, 93], Operations: []
Exploring Operation: 93-70=23, Resulting Numbers: [2, 39, 23]
Generated Node #2: [2, 39, 23] from Operation: 93-70=23
Current State: 55:[2, 39, 23], Operations: ['93-70=23']
Exploring Operation: 2*39=78, Resulting Numbers: [23, 78]
Generated Node #3: [23, 78] from Operation: 2*39=78
Current State: 55:[23, 78], Operations: ['93-70=23', '2*39=78']
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
27,
14,
40,
52
] | 50 | [
"14+40=54",
"54/27=2",
"52-2=50"
] | Current State: 50:[27, 14, 40, 52], Operations: []
Exploring Operation: 14+40=54, Resulting Numbers: [27, 52, 54]
Generated Node #2: [27, 52, 54] from Operation: 14+40=54
Current State: 50:[27, 52, 54], Operations: ['14+40=54']
Exploring Operation: 54/27=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 54/27=2
Current State: 50:[52, 2], Operations: ['14+40=54', '54/27=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
36,
61,
50,
79
] | 77 | [
"61-36=25",
"50/25=2",
"79-2=77"
] | Current State: 77:[36, 61, 50, 79], Operations: []
Exploring Operation: 61-36=25, Resulting Numbers: [50, 79, 25]
Generated Node #2: [50, 79, 25] from Operation: 61-36=25
Current State: 77:[50, 79, 25], Operations: ['61-36=25']
Exploring Operation: 50/25=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 50/25=2
Current State: 77:[79, 2], Operations: ['61-36=25', '50/25=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
78,
61,
39
] | 48 | [
"78/3=26",
"61-39=22",
"26+22=48"
] | Current State: 48:[3, 78, 61, 39], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [61, 39, 26]
Generated Node #2: [61, 39, 26] from Operation: 78/3=26
Current State: 48:[61, 39, 26], Operations: ['78/3=26']
Exploring Operation: 61-39=22, Resulting Numbers: [26, 22]
Generated Node #3: [26, 22] from Operation: 61-39=22
Current State: 48:[26, 22], Operations: ['78/3=26', '61-39=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
52,
18,
86
] | 45 | [
"40+86=126",
"126/18=7",
"52-7=45"
] | Current State: 45:[40, 52, 18, 86], Operations: []
Exploring Operation: 40+86=126, Resulting Numbers: [52, 18, 126]
Generated Node #2: [52, 18, 126] from Operation: 40+86=126
Current State: 45:[52, 18, 126], Operations: ['40+86=126']
Exploring Operation: 126/18=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 126/18=7
Current State: 45:[52, 7], Operations: ['40+86=126', '126/18=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
19,
20,
60,
14
] | 61 | [
"60/20=3",
"14*3=42",
"19+42=61"
] | Current State: 61:[19, 20, 60, 14], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [19, 14, 3]
Generated Node #2: [19, 14, 3] from Operation: 60/20=3
Current State: 61:[19, 14, 3], Operations: ['60/20=3']
Exploring Operation: 14*3=42, Resulting Numbers: [19, 42]
Generated Node #3: [19, 42] from Operation: 14*3=42
Current State: 61:[19, 42], Operations: ['60/20=3', '14*3=42']
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
95,
8,
62,
42
] | 17 | [
"95-8=87",
"62+42=104",
"104-87=17"
] | Current State: 17:[95, 8, 62, 42], Operations: []
Exploring Operation: 95-8=87, Resulting Numbers: [62, 42, 87]
Generated Node #2: [62, 42, 87] from Operation: 95-8=87
Current State: 17:[62, 42, 87], Operations: ['95-8=87']
Exploring Operation: 62+42=104, Resulting Numbers: [87, 104]
Generated Node #3: [87, 104] from Operation: 62+42=104
Current State: 17:[87, 104], Operations: ['95-8=87', '62+42=104']
Exploring Operation: 104-87=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
93,
85,
94,
18
] | 95 | [
"94-85=9",
"18/9=2",
"93+2=95"
] | Current State: 95:[93, 85, 94, 18], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [93, 18, 9]
Generated Node #2: [93, 18, 9] from Operation: 94-85=9
Current State: 95:[93, 18, 9], Operations: ['94-85=9']
Exploring Operation: 18/9=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 18/9=2
Current State: 95:[93, 2], Operations: ['94-85=9', '18/9=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
64,
97,
49,
47
] | 35 | [
"97-64=33",
"49-47=2",
"33+2=35"
] | Current State: 35:[64, 97, 49, 47], Operations: []
Exploring Operation: 97-64=33, Resulting Numbers: [49, 47, 33]
Generated Node #2: [49, 47, 33] from Operation: 97-64=33
Current State: 35:[49, 47, 33], Operations: ['97-64=33']
Exploring Operation: 49-47=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 49-47=2
Current State: 35:[33, 2], Operations: ['97-64=33', '49-47=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
51,
4,
9
] | 38 | [
"65+51=116",
"116/4=29",
"9+29=38"
] | Current State: 38:[65, 51, 4, 9], Operations: []
Exploring Operation: 65+51=116, Resulting Numbers: [4, 9, 116]
Generated Node #2: [4, 9, 116] from Operation: 65+51=116
Current State: 38:[4, 9, 116], Operations: ['65+51=116']
Exploring Operation: 116/4=29, Resulting Numbers: [9, 29]
Generated Node #3: [9, 29] from Operation: 116/4=29
Current State: 38:[9, 29], Operations: ['65+51=116', '116/4=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
79,
97,
36,
72
] | 88 | [
"79+97=176",
"72/36=2",
"176/2=88"
] | Current State: 88:[79, 97, 36, 72], Operations: []
Exploring Operation: 79+97=176, Resulting Numbers: [36, 72, 176]
Generated Node #2: [36, 72, 176] from Operation: 79+97=176
Current State: 88:[36, 72, 176], Operations: ['79+97=176']
Exploring Operation: 72/36=2, Resulting Numbers: [176, 2]
Generated Node #3: [176, 2] from Operation: 72/36=2
Current State: 88:[176, 2], Operations: ['79+97=176', '72/36=2']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
20,
26,
40,
11
] | 23 | [
"26-20=6",
"40-11=29",
"29-6=23"
] | Current State: 23:[20, 26, 40, 11], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [40, 11, 6]
Generated Node #2: [40, 11, 6] from Operation: 26-20=6
Current State: 23:[40, 11, 6], Operations: ['26-20=6']
Exploring Operation: 40-11=29, Resulting Numbers: [6, 29]
Generated Node #3: [6, 29] from Operation: 40-11=29
Current State: 23:[6, 29], Operations: ['26-20=6', '40-11=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
79,
39,
78,
51
] | 12 | [
"79-78=1",
"51-39=12",
"1*12=12"
] | Current State: 12:[79, 39, 78, 51], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [39, 51, 1]
Generated Node #2: [39, 51, 1] from Operation: 79-78=1
Current State: 12:[39, 51, 1], Operations: ['79-78=1']
Exploring Operation: 51-39=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 51-39=12
Current State: 12:[1, 12], Operations: ['79-78=1', '51-39=12']
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
13,
19,
30,
52
] | 91 | [
"30-19=11",
"13*11=143",
"143-52=91"
] | Current State: 91:[13, 19, 30, 52], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [13, 52, 11]
Generated Node #2: [13, 52, 11] from Operation: 30-19=11
Current State: 91:[13, 52, 11], Operations: ['30-19=11']
Exploring Operation: 13*11=143, Resulting Numbers: [52, 143]
Generated Node #3: [52, 143] from Operation: 13*11=143
Current State: 91:[52, 143], Operations: ['30-19=11', '13*11=143']
Exploring Operation: 143-52=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
92,
40,
21,
10
] | 83 | [
"92-40=52",
"21+10=31",
"52+31=83"
] | Current State: 83:[92, 40, 21, 10], Operations: []
Exploring Operation: 92-40=52, Resulting Numbers: [21, 10, 52]
Generated Node #2: [21, 10, 52] from Operation: 92-40=52
Current State: 83:[21, 10, 52], Operations: ['92-40=52']
Exploring Operation: 21+10=31, Resulting Numbers: [52, 31]
Generated Node #3: [52, 31] from Operation: 21+10=31
Current State: 83:[52, 31], Operations: ['92-40=52', '21+10=31']
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
84,
18,
5,
87
] | 81 | [
"84+87=171",
"18*5=90",
"171-90=81"
] | Current State: 81:[84, 18, 5, 87], Operations: []
Exploring Operation: 84+87=171, Resulting Numbers: [18, 5, 171]
Generated Node #2: [18, 5, 171] from Operation: 84+87=171
Current State: 81:[18, 5, 171], Operations: ['84+87=171']
Exploring Operation: 18*5=90, Resulting Numbers: [171, 90]
Generated Node #3: [171, 90] from Operation: 18*5=90
Current State: 81:[171, 90], Operations: ['84+87=171', '18*5=90']
Exploring Operation: 171-90=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
1,
78,
46,
2
] | 61 | [
"78+46=124",
"124/2=62",
"62-1=61"
] | Current State: 61:[1, 78, 46, 2], Operations: []
Exploring Operation: 78+46=124, Resulting Numbers: [1, 2, 124]
Generated Node #2: [1, 2, 124] from Operation: 78+46=124
Current State: 61:[1, 2, 124], Operations: ['78+46=124']
Exploring Operation: 124/2=62, Resulting Numbers: [1, 62]
Generated Node #3: [1, 62] from Operation: 124/2=62
Current State: 61:[1, 62], Operations: ['78+46=124', '124/2=62']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
72,
77,
13,
71
] | 89 | [
"77-72=5",
"13+71=84",
"5+84=89"
] | Current State: 89:[72, 77, 13, 71], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [13, 71, 5]
Generated Node #2: [13, 71, 5] from Operation: 77-72=5
Current State: 89:[13, 71, 5], Operations: ['77-72=5']
Exploring Operation: 13+71=84, Resulting Numbers: [5, 84]
Generated Node #3: [5, 84] from Operation: 13+71=84
Current State: 89:[5, 84], Operations: ['77-72=5', '13+71=84']
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
59,
65,
46,
16
] | 11 | [
"59-46=13",
"65/13=5",
"16-5=11"
] | Current State: 11:[59, 65, 46, 16], Operations: []
Exploring Operation: 59-46=13, Resulting Numbers: [65, 16, 13]
Generated Node #2: [65, 16, 13] from Operation: 59-46=13
Current State: 11:[65, 16, 13], Operations: ['59-46=13']
Exploring Operation: 65/13=5, Resulting Numbers: [16, 5]
Generated Node #3: [16, 5] from Operation: 65/13=5
Current State: 11:[16, 5], Operations: ['59-46=13', '65/13=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
84,
80,
66,
70
] | 64 | [
"80-66=14",
"84/14=6",
"70-6=64"
] | Current State: 64:[84, 80, 66, 70], Operations: []
Exploring Operation: 80-66=14, Resulting Numbers: [84, 70, 14]
Generated Node #2: [84, 70, 14] from Operation: 80-66=14
Current State: 64:[84, 70, 14], Operations: ['80-66=14']
Exploring Operation: 84/14=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 84/14=6
Current State: 64:[70, 6], Operations: ['80-66=14', '84/14=6']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
14,
78,
76,
1
] | 14 | [
"78-76=2",
"2-1=1",
"14*1=14"
] | Current State: 14:[14, 78, 76, 1], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [14, 1, 2]
Generated Node #2: [14, 1, 2] from Operation: 78-76=2
Current State: 14:[14, 1, 2], Operations: ['78-76=2']
Exploring Operation: 2-1=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 2-1=1
Current State: 14:[14, 1], Operations: ['78-76=2', '2-1=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
41,
39,
41,
70
] | 51 | [
"41+39=80",
"70-41=29",
"80-29=51"
] | Current State: 51:[41, 39, 41, 70], Operations: []
Exploring Operation: 41+39=80, Resulting Numbers: [70, 80]
Generated Node #2: [70, 80] from Operation: 41+39=80
Current State: 51:[70, 80], Operations: ['41+39=80']
Exploring Operation: 70-41=29, Resulting Numbers: [80, 29]
Generated Node #3: [80, 29] from Operation: 70-41=29
Current State: 51:[80, 29], Operations: ['41+39=80', '70-41=29']
Exploring Operation: 80-29=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
88,
8,
28
] | 88 | [
"19+8=27",
"28-27=1",
"88*1=88"
] | Current State: 88:[19, 88, 8, 28], Operations: []
Exploring Operation: 19+8=27, Resulting Numbers: [88, 28, 27]
Generated Node #2: [88, 28, 27] from Operation: 19+8=27
Current State: 88:[88, 28, 27], Operations: ['19+8=27']
Exploring Operation: 28-27=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 28-27=1
Current State: 88:[88, 1], Operations: ['19+8=27', '28-27=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
46,
87,
66,
51
] | 76 | [
"87-46=41",
"66+51=117",
"117-41=76"
] | Current State: 76:[46, 87, 66, 51], Operations: []
Exploring Operation: 87-46=41, Resulting Numbers: [66, 51, 41]
Generated Node #2: [66, 51, 41] from Operation: 87-46=41
Current State: 76:[66, 51, 41], Operations: ['87-46=41']
Exploring Operation: 66+51=117, Resulting Numbers: [41, 117]
Generated Node #3: [41, 117] from Operation: 66+51=117
Current State: 76:[41, 117], Operations: ['87-46=41', '66+51=117']
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
43,
84,
76,
36
] | 77 | [
"76-43=33",
"84*33=2772",
"2772/36=77"
] | Current State: 77:[43, 84, 76, 36], Operations: []
Exploring Operation: 76-43=33, Resulting Numbers: [84, 36, 33]
Generated Node #2: [84, 36, 33] from Operation: 76-43=33
Current State: 77:[84, 36, 33], Operations: ['76-43=33']
Exploring Operation: 84*33=2772, Resulting Numbers: [36, 2772]
Generated Node #3: [36, 2772] from Operation: 84*33=2772
Current State: 77:[36, 2772], Operations: ['76-43=33', '84*33=2772']
Exploring Operation: 2772/36=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
84,
10,
6,
64
] | 55 | [
"84+6=90",
"90/10=9",
"64-9=55"
] | Current State: 55:[84, 10, 6, 64], Operations: []
Exploring Operation: 84+6=90, Resulting Numbers: [10, 64, 90]
Generated Node #2: [10, 64, 90] from Operation: 84+6=90
Current State: 55:[10, 64, 90], Operations: ['84+6=90']
Exploring Operation: 90/10=9, Resulting Numbers: [64, 9]
Generated Node #3: [64, 9] from Operation: 90/10=9
Current State: 55:[64, 9], Operations: ['84+6=90', '90/10=9']
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
78,
85,
81,
74
] | 16 | [
"78-74=4",
"85-81=4",
"4*4=16"
] | Current State: 16:[78, 85, 81, 74], Operations: []
Exploring Operation: 78-74=4, Resulting Numbers: [85, 81, 4]
Generated Node #2: [85, 81, 4] from Operation: 78-74=4
Current State: 16:[85, 81, 4], Operations: ['78-74=4']
Exploring Operation: 85-81=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 85-81=4
Current State: 16:[4, 4], Operations: ['78-74=4', '85-81=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
40,
69,
70,
72
] | 58 | [
"69-40=29",
"72-70=2",
"29*2=58"
] | Current State: 58:[40, 69, 70, 72], Operations: []
Exploring Operation: 69-40=29, Resulting Numbers: [70, 72, 29]
Generated Node #2: [70, 72, 29] from Operation: 69-40=29
Current State: 58:[70, 72, 29], Operations: ['69-40=29']
Exploring Operation: 72-70=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 72-70=2
Current State: 58:[29, 2], Operations: ['69-40=29', '72-70=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
29,
12,
78,
35
] | 80 | [
"35-29=6",
"12/6=2",
"78+2=80"
] | Current State: 80:[29, 12, 78, 35], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [12, 78, 6]
Generated Node #2: [12, 78, 6] from Operation: 35-29=6
Current State: 80:[12, 78, 6], Operations: ['35-29=6']
Exploring Operation: 12/6=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 12/6=2
Current State: 80:[78, 2], Operations: ['35-29=6', '12/6=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
57,
17,
3,
7
] | 83 | [
"17+3=20",
"7*20=140",
"140-57=83"
] | Current State: 83:[57, 17, 3, 7], Operations: []
Exploring Operation: 17+3=20, Resulting Numbers: [57, 7, 20]
Generated Node #2: [57, 7, 20] from Operation: 17+3=20
Current State: 83:[57, 7, 20], Operations: ['17+3=20']
Exploring Operation: 7*20=140, Resulting Numbers: [57, 140]
Generated Node #3: [57, 140] from Operation: 7*20=140
Current State: 83:[57, 140], Operations: ['17+3=20', '7*20=140']
Exploring Operation: 140-57=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
16,
12,
38,
32
] | 10 | [
"16-12=4",
"38-32=6",
"4+6=10"
] | Current State: 10:[16, 12, 38, 32], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [38, 32, 4]
Generated Node #2: [38, 32, 4] from Operation: 16-12=4
Current State: 10:[38, 32, 4], Operations: ['16-12=4']
Exploring Operation: 38-32=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 38-32=6
Current State: 10:[4, 6], Operations: ['16-12=4', '38-32=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
62,
71,
64
] | 89 | [
"62+64=126",
"126/7=18",
"71+18=89"
] | Current State: 89:[7, 62, 71, 64], Operations: []
Exploring Operation: 62+64=126, Resulting Numbers: [7, 71, 126]
Generated Node #2: [7, 71, 126] from Operation: 62+64=126
Current State: 89:[7, 71, 126], Operations: ['62+64=126']
Exploring Operation: 126/7=18, Resulting Numbers: [71, 18]
Generated Node #3: [71, 18] from Operation: 126/7=18
Current State: 89:[71, 18], Operations: ['62+64=126', '126/7=18']
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
18,
47,
2,
64
] | 75 | [
"18*2=36",
"47+64=111",
"111-36=75"
] | Current State: 75:[18, 47, 2, 64], Operations: []
Exploring Operation: 18*2=36, Resulting Numbers: [47, 64, 36]
Generated Node #2: [47, 64, 36] from Operation: 18*2=36
Current State: 75:[47, 64, 36], Operations: ['18*2=36']
Exploring Operation: 47+64=111, Resulting Numbers: [36, 111]
Generated Node #3: [36, 111] from Operation: 47+64=111
Current State: 75:[36, 111], Operations: ['18*2=36', '47+64=111']
Exploring Operation: 111-36=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
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