nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
31,
12,
5,
33
] | 11 | [
"31+5=36",
"12*33=396",
"396/36=11"
] | Current State: 11:[31, 12, 5, 33], Operations: []
Exploring Operation: 31+5=36, Resulting Numbers: [12, 33, 36]
Generated Node #2: [12, 33, 36] from Operation: 31+5=36
Current State: 11:[12, 33, 36], Operations: ['31+5=36']
Exploring Operation: 12*33=396, Resulting Numbers: [36, 396]
Generated Node #3: [36, 396] from Operation: 12*33=396
Current State: 11:[36, 396], Operations: ['31+5=36', '12*33=396']
Exploring Operation: 396/36=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
33,
41,
14,
30
] | 36 | [
"41-33=8",
"14+30=44",
"44-8=36"
] | Current State: 36:[33, 41, 14, 30], Operations: []
Exploring Operation: 41-33=8, Resulting Numbers: [14, 30, 8]
Generated Node #2: [14, 30, 8] from Operation: 41-33=8
Current State: 36:[14, 30, 8], Operations: ['41-33=8']
Exploring Operation: 14+30=44, Resulting Numbers: [8, 44]
Generated Node #3: [8, 44] from Operation: 14+30=44
Current State: 36:[8, 44], Operations: ['41-33=8', '14+30=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
68,
25,
59,
89
] | 73 | [
"68-25=43",
"89-59=30",
"43+30=73"
] | Current State: 73:[68, 25, 59, 89], Operations: []
Exploring Operation: 68-25=43, Resulting Numbers: [59, 89, 43]
Generated Node #2: [59, 89, 43] from Operation: 68-25=43
Current State: 73:[59, 89, 43], Operations: ['68-25=43']
Exploring Operation: 89-59=30, Resulting Numbers: [43, 30]
Generated Node #3: [43, 30] from Operation: 89-59=30
Current State: 73:[43, 30], Operations: ['68-25=43', '89-59=30']
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
24,
49,
31,
44
] | 72 | [
"49+44=93",
"24*93=2232",
"2232/31=72"
] | Current State: 72:[24, 49, 31, 44], Operations: []
Exploring Operation: 49+44=93, Resulting Numbers: [24, 31, 93]
Generated Node #2: [24, 31, 93] from Operation: 49+44=93
Current State: 72:[24, 31, 93], Operations: ['49+44=93']
Exploring Operation: 24*93=2232, Resulting Numbers: [31, 2232]
Generated Node #3: [31, 2232] from Operation: 24*93=2232
Current State: 72:[31, 2232], Operations: ['49+44=93', '24*93=2232']
Exploring Operation: 2232/31=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
23,
6,
20,
22
] | 14 | [
"23-22=1",
"20-6=14",
"1*14=14"
] | Current State: 14:[23, 6, 20, 22], Operations: []
Exploring Operation: 23-22=1, Resulting Numbers: [6, 20, 1]
Generated Node #2: [6, 20, 1] from Operation: 23-22=1
Current State: 14:[6, 20, 1], Operations: ['23-22=1']
Exploring Operation: 20-6=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 20-6=14
Current State: 14:[1, 14], Operations: ['23-22=1', '20-6=14']
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
73,
33,
65,
81
] | 31 | [
"65+81=146",
"146/73=2",
"33-2=31"
] | Current State: 31:[73, 33, 65, 81], Operations: []
Exploring Operation: 65+81=146, Resulting Numbers: [73, 33, 146]
Generated Node #2: [73, 33, 146] from Operation: 65+81=146
Current State: 31:[73, 33, 146], Operations: ['65+81=146']
Exploring Operation: 146/73=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 146/73=2
Current State: 31:[33, 2], Operations: ['65+81=146', '146/73=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
40,
17,
3,
60
] | 58 | [
"17+3=20",
"40/20=2",
"60-2=58"
] | Current State: 58:[40, 17, 3, 60], Operations: []
Exploring Operation: 17+3=20, Resulting Numbers: [40, 60, 20]
Generated Node #2: [40, 60, 20] from Operation: 17+3=20
Current State: 58:[40, 60, 20], Operations: ['17+3=20']
Exploring Operation: 40/20=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 40/20=2
Current State: 58:[60, 2], Operations: ['17+3=20', '40/20=2']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
47,
21,
15,
94
] | 34 | [
"94/47=2",
"21+15=36",
"36-2=34"
] | Current State: 34:[47, 21, 15, 94], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [21, 15, 2]
Generated Node #2: [21, 15, 2] from Operation: 94/47=2
Current State: 34:[21, 15, 2], Operations: ['94/47=2']
Exploring Operation: 21+15=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 21+15=36
Current State: 34:[2, 36], Operations: ['94/47=2', '21+15=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
59,
2,
32,
71
] | 38 | [
"71-59=12",
"12/2=6",
"32+6=38"
] | Current State: 38:[59, 2, 32, 71], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [2, 32, 12]
Generated Node #2: [2, 32, 12] from Operation: 71-59=12
Current State: 38:[2, 32, 12], Operations: ['71-59=12']
Exploring Operation: 12/2=6, Resulting Numbers: [32, 6]
Generated Node #3: [32, 6] from Operation: 12/2=6
Current State: 38:[32, 6], Operations: ['71-59=12', '12/2=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
71,
25,
83,
26
] | 63 | [
"71-25=46",
"83+26=109",
"109-46=63"
] | Current State: 63:[71, 25, 83, 26], Operations: []
Exploring Operation: 71-25=46, Resulting Numbers: [83, 26, 46]
Generated Node #2: [83, 26, 46] from Operation: 71-25=46
Current State: 63:[83, 26, 46], Operations: ['71-25=46']
Exploring Operation: 83+26=109, Resulting Numbers: [46, 109]
Generated Node #3: [46, 109] from Operation: 83+26=109
Current State: 63:[46, 109], Operations: ['71-25=46', '83+26=109']
Exploring Operation: 109-46=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
76,
76,
68,
81
] | 14 | [
"76/76=1",
"81-68=13",
"1+13=14"
] | Current State: 14:[76, 76, 68, 81], Operations: []
Exploring Operation: 76/76=1, Resulting Numbers: [68, 81, 1]
Generated Node #2: [68, 81, 1] from Operation: 76/76=1
Current State: 14:[68, 81, 1], Operations: ['76/76=1']
Exploring Operation: 81-68=13, Resulting Numbers: [1, 13]
Generated Node #3: [1, 13] from Operation: 81-68=13
Current State: 14:[1, 13], Operations: ['76/76=1', '81-68=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
63,
73,
50,
25
] | 65 | [
"73-63=10",
"50+25=75",
"75-10=65"
] | Current State: 65:[63, 73, 50, 25], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [50, 25, 10]
Generated Node #2: [50, 25, 10] from Operation: 73-63=10
Current State: 65:[50, 25, 10], Operations: ['73-63=10']
Exploring Operation: 50+25=75, Resulting Numbers: [10, 75]
Generated Node #3: [10, 75] from Operation: 50+25=75
Current State: 65:[10, 75], Operations: ['73-63=10', '50+25=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
51,
68,
7,
93
] | 26 | [
"68-51=17",
"7*17=119",
"119-93=26"
] | Current State: 26:[51, 68, 7, 93], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [7, 93, 17]
Generated Node #2: [7, 93, 17] from Operation: 68-51=17
Current State: 26:[7, 93, 17], Operations: ['68-51=17']
Exploring Operation: 7*17=119, Resulting Numbers: [93, 119]
Generated Node #3: [93, 119] from Operation: 7*17=119
Current State: 26:[93, 119], Operations: ['68-51=17', '7*17=119']
Exploring Operation: 119-93=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
25,
56,
4,
3
] | 69 | [
"25+56=81",
"4*3=12",
"81-12=69"
] | Current State: 69:[25, 56, 4, 3], Operations: []
Exploring Operation: 25+56=81, Resulting Numbers: [4, 3, 81]
Generated Node #2: [4, 3, 81] from Operation: 25+56=81
Current State: 69:[4, 3, 81], Operations: ['25+56=81']
Exploring Operation: 4*3=12, Resulting Numbers: [81, 12]
Generated Node #3: [81, 12] from Operation: 4*3=12
Current State: 69:[81, 12], Operations: ['25+56=81', '4*3=12']
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
89,
91,
7,
99
] | 74 | [
"89+91=180",
"7+99=106",
"180-106=74"
] | Current State: 74:[89, 91, 7, 99], Operations: []
Exploring Operation: 89+91=180, Resulting Numbers: [7, 99, 180]
Generated Node #2: [7, 99, 180] from Operation: 89+91=180
Current State: 74:[7, 99, 180], Operations: ['89+91=180']
Exploring Operation: 7+99=106, Resulting Numbers: [180, 106]
Generated Node #3: [180, 106] from Operation: 7+99=106
Current State: 74:[180, 106], Operations: ['89+91=180', '7+99=106']
Exploring Operation: 180-106=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
9,
5,
47,
72
] | 34 | [
"72/9=8",
"47-5=42",
"42-8=34"
] | Current State: 34:[9, 5, 47, 72], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [5, 47, 8]
Generated Node #2: [5, 47, 8] from Operation: 72/9=8
Current State: 34:[5, 47, 8], Operations: ['72/9=8']
Exploring Operation: 47-5=42, Resulting Numbers: [8, 42]
Generated Node #3: [8, 42] from Operation: 47-5=42
Current State: 34:[8, 42], Operations: ['72/9=8', '47-5=42']
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
14,
38,
92,
26
] | 19 | [
"38+92=130",
"130/26=5",
"14+5=19"
] | Current State: 19:[14, 38, 92, 26], Operations: []
Exploring Operation: 38+92=130, Resulting Numbers: [14, 26, 130]
Generated Node #2: [14, 26, 130] from Operation: 38+92=130
Current State: 19:[14, 26, 130], Operations: ['38+92=130']
Exploring Operation: 130/26=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 130/26=5
Current State: 19:[14, 5], Operations: ['38+92=130', '130/26=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
81,
66,
89
] | 40 | [
"81-18=63",
"89-66=23",
"63-23=40"
] | Current State: 40:[18, 81, 66, 89], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [66, 89, 63]
Generated Node #2: [66, 89, 63] from Operation: 81-18=63
Current State: 40:[66, 89, 63], Operations: ['81-18=63']
Exploring Operation: 89-66=23, Resulting Numbers: [63, 23]
Generated Node #3: [63, 23] from Operation: 89-66=23
Current State: 40:[63, 23], Operations: ['81-18=63', '89-66=23']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
75,
64,
74,
4
] | 60 | [
"75-74=1",
"64-4=60",
"1*60=60"
] | Current State: 60:[75, 64, 74, 4], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [64, 4, 1]
Generated Node #2: [64, 4, 1] from Operation: 75-74=1
Current State: 60:[64, 4, 1], Operations: ['75-74=1']
Exploring Operation: 64-4=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 64-4=60
Current State: 60:[1, 60], Operations: ['75-74=1', '64-4=60']
Exploring Operation: 1*60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
17,
42,
26,
95
] | 94 | [
"42-17=25",
"95-26=69",
"25+69=94"
] | Current State: 94:[17, 42, 26, 95], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [26, 95, 25]
Generated Node #2: [26, 95, 25] from Operation: 42-17=25
Current State: 94:[26, 95, 25], Operations: ['42-17=25']
Exploring Operation: 95-26=69, Resulting Numbers: [25, 69]
Generated Node #3: [25, 69] from Operation: 95-26=69
Current State: 94:[25, 69], Operations: ['42-17=25', '95-26=69']
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
82,
4,
39,
64
] | 17 | [
"82+4=86",
"39+64=103",
"103-86=17"
] | Current State: 17:[82, 4, 39, 64], Operations: []
Exploring Operation: 82+4=86, Resulting Numbers: [39, 64, 86]
Generated Node #2: [39, 64, 86] from Operation: 82+4=86
Current State: 17:[39, 64, 86], Operations: ['82+4=86']
Exploring Operation: 39+64=103, Resulting Numbers: [86, 103]
Generated Node #3: [86, 103] from Operation: 39+64=103
Current State: 17:[86, 103], Operations: ['82+4=86', '39+64=103']
Exploring Operation: 103-86=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
50,
92,
51,
67
] | 89 | [
"67-50=17",
"51/17=3",
"92-3=89"
] | Current State: 89:[50, 92, 51, 67], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [92, 51, 17]
Generated Node #2: [92, 51, 17] from Operation: 67-50=17
Current State: 89:[92, 51, 17], Operations: ['67-50=17']
Exploring Operation: 51/17=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 51/17=3
Current State: 89:[92, 3], Operations: ['67-50=17', '51/17=3']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
83,
71,
23,
52
] | 33 | [
"71*23=1633",
"83+1633=1716",
"1716/52=33"
] | Current State: 33:[83, 71, 23, 52], Operations: []
Exploring Operation: 71*23=1633, Resulting Numbers: [83, 52, 1633]
Generated Node #2: [83, 52, 1633] from Operation: 71*23=1633
Current State: 33:[83, 52, 1633], Operations: ['71*23=1633']
Exploring Operation: 83+1633=1716, Resulting Numbers: [52, 1716]
Generated Node #3: [52, 1716] from Operation: 83+1633=1716
Current State: 33:[52, 1716], Operations: ['71*23=1633', '83+1633=1716']
Exploring Operation: 1716/52=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
97,
56,
31,
4
] | 96 | [
"97+31=128",
"56*4=224",
"224-128=96"
] | Current State: 96:[97, 56, 31, 4], Operations: []
Exploring Operation: 97+31=128, Resulting Numbers: [56, 4, 128]
Generated Node #2: [56, 4, 128] from Operation: 97+31=128
Current State: 96:[56, 4, 128], Operations: ['97+31=128']
Exploring Operation: 56*4=224, Resulting Numbers: [128, 224]
Generated Node #3: [128, 224] from Operation: 56*4=224
Current State: 96:[128, 224], Operations: ['97+31=128', '56*4=224']
Exploring Operation: 224-128=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
11,
4,
42,
40
] | 14 | [
"11-4=7",
"42-40=2",
"7*2=14"
] | Current State: 14:[11, 4, 42, 40], Operations: []
Exploring Operation: 11-4=7, Resulting Numbers: [42, 40, 7]
Generated Node #2: [42, 40, 7] from Operation: 11-4=7
Current State: 14:[42, 40, 7], Operations: ['11-4=7']
Exploring Operation: 42-40=2, Resulting Numbers: [7, 2]
Generated Node #3: [7, 2] from Operation: 42-40=2
Current State: 14:[7, 2], Operations: ['11-4=7', '42-40=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
35,
83,
58,
79
] | 89 | [
"83-35=48",
"58+79=137",
"137-48=89"
] | Current State: 89:[35, 83, 58, 79], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [58, 79, 48]
Generated Node #2: [58, 79, 48] from Operation: 83-35=48
Current State: 89:[58, 79, 48], Operations: ['83-35=48']
Exploring Operation: 58+79=137, Resulting Numbers: [48, 137]
Generated Node #3: [48, 137] from Operation: 58+79=137
Current State: 89:[48, 137], Operations: ['83-35=48', '58+79=137']
Exploring Operation: 137-48=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
77,
28,
65,
4
] | 64 | [
"77-28=49",
"65-49=16",
"4*16=64"
] | Current State: 64:[77, 28, 65, 4], Operations: []
Exploring Operation: 77-28=49, Resulting Numbers: [65, 4, 49]
Generated Node #2: [65, 4, 49] from Operation: 77-28=49
Current State: 64:[65, 4, 49], Operations: ['77-28=49']
Exploring Operation: 65-49=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 65-49=16
Current State: 64:[4, 16], Operations: ['77-28=49', '65-49=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
46,
50,
23,
30
] | 97 | [
"50-46=4",
"30*4=120",
"120-23=97"
] | Current State: 97:[46, 50, 23, 30], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [23, 30, 4]
Generated Node #2: [23, 30, 4] from Operation: 50-46=4
Current State: 97:[23, 30, 4], Operations: ['50-46=4']
Exploring Operation: 30*4=120, Resulting Numbers: [23, 120]
Generated Node #3: [23, 120] from Operation: 30*4=120
Current State: 97:[23, 120], Operations: ['50-46=4', '30*4=120']
Exploring Operation: 120-23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
16,
92,
22,
77
] | 23 | [
"92-16=76",
"22+77=99",
"99-76=23"
] | Current State: 23:[16, 92, 22, 77], Operations: []
Exploring Operation: 92-16=76, Resulting Numbers: [22, 77, 76]
Generated Node #2: [22, 77, 76] from Operation: 92-16=76
Current State: 23:[22, 77, 76], Operations: ['92-16=76']
Exploring Operation: 22+77=99, Resulting Numbers: [76, 99]
Generated Node #3: [76, 99] from Operation: 22+77=99
Current State: 23:[76, 99], Operations: ['92-16=76', '22+77=99']
Exploring Operation: 99-76=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
89,
52,
6,
65
] | 17 | [
"89-52=37",
"65+37=102",
"102/6=17"
] | Current State: 17:[89, 52, 6, 65], Operations: []
Exploring Operation: 89-52=37, Resulting Numbers: [6, 65, 37]
Generated Node #2: [6, 65, 37] from Operation: 89-52=37
Current State: 17:[6, 65, 37], Operations: ['89-52=37']
Exploring Operation: 65+37=102, Resulting Numbers: [6, 102]
Generated Node #3: [6, 102] from Operation: 65+37=102
Current State: 17:[6, 102], Operations: ['89-52=37', '65+37=102']
Exploring Operation: 102/6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
18,
21,
20,
40
] | 37 | [
"18+21=39",
"40/20=2",
"39-2=37"
] | Current State: 37:[18, 21, 20, 40], Operations: []
Exploring Operation: 18+21=39, Resulting Numbers: [20, 40, 39]
Generated Node #2: [20, 40, 39] from Operation: 18+21=39
Current State: 37:[20, 40, 39], Operations: ['18+21=39']
Exploring Operation: 40/20=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 40/20=2
Current State: 37:[39, 2], Operations: ['18+21=39', '40/20=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
5,
9,
58,
56
] | 28 | [
"5+9=14",
"58-56=2",
"14*2=28"
] | Current State: 28:[5, 9, 58, 56], Operations: []
Exploring Operation: 5+9=14, Resulting Numbers: [58, 56, 14]
Generated Node #2: [58, 56, 14] from Operation: 5+9=14
Current State: 28:[58, 56, 14], Operations: ['5+9=14']
Exploring Operation: 58-56=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 58-56=2
Current State: 28:[14, 2], Operations: ['5+9=14', '58-56=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
27,
72,
95,
49
] | 25 | [
"95+49=144",
"144/72=2",
"27-2=25"
] | Current State: 25:[27, 72, 95, 49], Operations: []
Exploring Operation: 95+49=144, Resulting Numbers: [27, 72, 144]
Generated Node #2: [27, 72, 144] from Operation: 95+49=144
Current State: 25:[27, 72, 144], Operations: ['95+49=144']
Exploring Operation: 144/72=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 144/72=2
Current State: 25:[27, 2], Operations: ['95+49=144', '144/72=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
38,
41,
56,
13
] | 46 | [
"41-38=3",
"56-13=43",
"3+43=46"
] | Current State: 46:[38, 41, 56, 13], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [56, 13, 3]
Generated Node #2: [56, 13, 3] from Operation: 41-38=3
Current State: 46:[56, 13, 3], Operations: ['41-38=3']
Exploring Operation: 56-13=43, Resulting Numbers: [3, 43]
Generated Node #3: [3, 43] from Operation: 56-13=43
Current State: 46:[3, 43], Operations: ['41-38=3', '56-13=43']
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
44,
72,
75,
21
] | 100 | [
"72-44=28",
"75*28=2100",
"2100/21=100"
] | Current State: 100:[44, 72, 75, 21], Operations: []
Exploring Operation: 72-44=28, Resulting Numbers: [75, 21, 28]
Generated Node #2: [75, 21, 28] from Operation: 72-44=28
Current State: 100:[75, 21, 28], Operations: ['72-44=28']
Exploring Operation: 75*28=2100, Resulting Numbers: [21, 2100]
Generated Node #3: [21, 2100] from Operation: 75*28=2100
Current State: 100:[21, 2100], Operations: ['72-44=28', '75*28=2100']
Exploring Operation: 2100/21=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
38,
5,
98,
11
] | 44 | [
"38+5=43",
"98-11=87",
"87-43=44"
] | Current State: 44:[38, 5, 98, 11], Operations: []
Exploring Operation: 38+5=43, Resulting Numbers: [98, 11, 43]
Generated Node #2: [98, 11, 43] from Operation: 38+5=43
Current State: 44:[98, 11, 43], Operations: ['38+5=43']
Exploring Operation: 98-11=87, Resulting Numbers: [43, 87]
Generated Node #3: [43, 87] from Operation: 98-11=87
Current State: 44:[43, 87], Operations: ['38+5=43', '98-11=87']
Exploring Operation: 87-43=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
42,
97,
76,
16
] | 32 | [
"42*16=672",
"97-76=21",
"672/21=32"
] | Current State: 32:[42, 97, 76, 16], Operations: []
Exploring Operation: 42*16=672, Resulting Numbers: [97, 76, 672]
Generated Node #2: [97, 76, 672] from Operation: 42*16=672
Current State: 32:[97, 76, 672], Operations: ['42*16=672']
Exploring Operation: 97-76=21, Resulting Numbers: [672, 21]
Generated Node #3: [672, 21] from Operation: 97-76=21
Current State: 32:[672, 21], Operations: ['42*16=672', '97-76=21']
Exploring Operation: 672/21=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
22,
97,
17
] | 72 | [
"30-22=8",
"97-17=80",
"80-8=72"
] | Current State: 72:[30, 22, 97, 17], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [97, 17, 8]
Generated Node #2: [97, 17, 8] from Operation: 30-22=8
Current State: 72:[97, 17, 8], Operations: ['30-22=8']
Exploring Operation: 97-17=80, Resulting Numbers: [8, 80]
Generated Node #3: [8, 80] from Operation: 97-17=80
Current State: 72:[8, 80], Operations: ['30-22=8', '97-17=80']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
59,
58,
34,
78
] | 51 | [
"59+58=117",
"34*117=3978",
"3978/78=51"
] | Current State: 51:[59, 58, 34, 78], Operations: []
Exploring Operation: 59+58=117, Resulting Numbers: [34, 78, 117]
Generated Node #2: [34, 78, 117] from Operation: 59+58=117
Current State: 51:[34, 78, 117], Operations: ['59+58=117']
Exploring Operation: 34*117=3978, Resulting Numbers: [78, 3978]
Generated Node #3: [78, 3978] from Operation: 34*117=3978
Current State: 51:[78, 3978], Operations: ['59+58=117', '34*117=3978']
Exploring Operation: 3978/78=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
28,
63,
3,
10
] | 95 | [
"63-28=35",
"3*35=105",
"105-10=95"
] | Current State: 95:[28, 63, 3, 10], Operations: []
Exploring Operation: 63-28=35, Resulting Numbers: [3, 10, 35]
Generated Node #2: [3, 10, 35] from Operation: 63-28=35
Current State: 95:[3, 10, 35], Operations: ['63-28=35']
Exploring Operation: 3*35=105, Resulting Numbers: [10, 105]
Generated Node #3: [10, 105] from Operation: 3*35=105
Current State: 95:[10, 105], Operations: ['63-28=35', '3*35=105']
Exploring Operation: 105-10=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
25,
52,
14,
75
] | 34 | [
"52-25=27",
"75-14=61",
"61-27=34"
] | Current State: 34:[25, 52, 14, 75], Operations: []
Exploring Operation: 52-25=27, Resulting Numbers: [14, 75, 27]
Generated Node #2: [14, 75, 27] from Operation: 52-25=27
Current State: 34:[14, 75, 27], Operations: ['52-25=27']
Exploring Operation: 75-14=61, Resulting Numbers: [27, 61]
Generated Node #3: [27, 61] from Operation: 75-14=61
Current State: 34:[27, 61], Operations: ['52-25=27', '75-14=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
72,
36,
80,
16
] | 41 | [
"72-36=36",
"80/16=5",
"36+5=41"
] | Current State: 41:[72, 36, 80, 16], Operations: []
Exploring Operation: 72-36=36, Resulting Numbers: [80, 16, 36]
Generated Node #2: [80, 16, 36] from Operation: 72-36=36
Current State: 41:[80, 16, 36], Operations: ['72-36=36']
Exploring Operation: 80/16=5, Resulting Numbers: [36, 5]
Generated Node #3: [36, 5] from Operation: 80/16=5
Current State: 41:[36, 5], Operations: ['72-36=36', '80/16=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
9,
30,
21,
4
] | 11 | [
"30*4=120",
"120-21=99",
"99/9=11"
] | Current State: 11:[9, 30, 21, 4], Operations: []
Exploring Operation: 30*4=120, Resulting Numbers: [9, 21, 120]
Generated Node #2: [9, 21, 120] from Operation: 30*4=120
Current State: 11:[9, 21, 120], Operations: ['30*4=120']
Exploring Operation: 120-21=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 120-21=99
Current State: 11:[9, 99], Operations: ['30*4=120', '120-21=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
19,
12,
5
] | 98 | [
"2*19=38",
"12*5=60",
"38+60=98"
] | Current State: 98:[2, 19, 12, 5], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [12, 5, 38]
Generated Node #2: [12, 5, 38] from Operation: 2*19=38
Current State: 98:[12, 5, 38], Operations: ['2*19=38']
Exploring Operation: 12*5=60, Resulting Numbers: [38, 60]
Generated Node #3: [38, 60] from Operation: 12*5=60
Current State: 98:[38, 60], Operations: ['2*19=38', '12*5=60']
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
26,
97,
19,
1
] | 53 | [
"97-26=71",
"19-1=18",
"71-18=53"
] | Current State: 53:[26, 97, 19, 1], Operations: []
Exploring Operation: 97-26=71, Resulting Numbers: [19, 1, 71]
Generated Node #2: [19, 1, 71] from Operation: 97-26=71
Current State: 53:[19, 1, 71], Operations: ['97-26=71']
Exploring Operation: 19-1=18, Resulting Numbers: [71, 18]
Generated Node #3: [71, 18] from Operation: 19-1=18
Current State: 53:[71, 18], Operations: ['97-26=71', '19-1=18']
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
51,
15,
39,
94
] | 19 | [
"51-15=36",
"94-39=55",
"55-36=19"
] | Current State: 19:[51, 15, 39, 94], Operations: []
Exploring Operation: 51-15=36, Resulting Numbers: [39, 94, 36]
Generated Node #2: [39, 94, 36] from Operation: 51-15=36
Current State: 19:[39, 94, 36], Operations: ['51-15=36']
Exploring Operation: 94-39=55, Resulting Numbers: [36, 55]
Generated Node #3: [36, 55] from Operation: 94-39=55
Current State: 19:[36, 55], Operations: ['51-15=36', '94-39=55']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
47,
6,
18
] | 50 | [
"12-6=6",
"18/6=3",
"47+3=50"
] | Current State: 50:[12, 47, 6, 18], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [47, 18, 6]
Generated Node #2: [47, 18, 6] from Operation: 12-6=6
Current State: 50:[47, 18, 6], Operations: ['12-6=6']
Exploring Operation: 18/6=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 18/6=3
Current State: 50:[47, 3], Operations: ['12-6=6', '18/6=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
12,
14,
49,
4
] | 41 | [
"14-12=2",
"4*2=8",
"49-8=41"
] | Current State: 41:[12, 14, 49, 4], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [49, 4, 2]
Generated Node #2: [49, 4, 2] from Operation: 14-12=2
Current State: 41:[49, 4, 2], Operations: ['14-12=2']
Exploring Operation: 4*2=8, Resulting Numbers: [49, 8]
Generated Node #3: [49, 8] from Operation: 4*2=8
Current State: 41:[49, 8], Operations: ['14-12=2', '4*2=8']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
63,
45,
61,
75
] | 60 | [
"63-61=2",
"45+75=120",
"120/2=60"
] | Current State: 60:[63, 45, 61, 75], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [45, 75, 2]
Generated Node #2: [45, 75, 2] from Operation: 63-61=2
Current State: 60:[45, 75, 2], Operations: ['63-61=2']
Exploring Operation: 45+75=120, Resulting Numbers: [2, 120]
Generated Node #3: [2, 120] from Operation: 45+75=120
Current State: 60:[2, 120], Operations: ['63-61=2', '45+75=120']
Exploring Operation: 120/2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
21,
50,
73,
69
] | 63 | [
"21*69=1449",
"73-50=23",
"1449/23=63"
] | Current State: 63:[21, 50, 73, 69], Operations: []
Exploring Operation: 21*69=1449, Resulting Numbers: [50, 73, 1449]
Generated Node #2: [50, 73, 1449] from Operation: 21*69=1449
Current State: 63:[50, 73, 1449], Operations: ['21*69=1449']
Exploring Operation: 73-50=23, Resulting Numbers: [1449, 23]
Generated Node #3: [1449, 23] from Operation: 73-50=23
Current State: 63:[1449, 23], Operations: ['21*69=1449', '73-50=23']
Exploring Operation: 1449/23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
50,
22,
19,
33
] | 88 | [
"50*33=1650",
"22+1650=1672",
"1672/19=88"
] | Current State: 88:[50, 22, 19, 33], Operations: []
Exploring Operation: 50*33=1650, Resulting Numbers: [22, 19, 1650]
Generated Node #2: [22, 19, 1650] from Operation: 50*33=1650
Current State: 88:[22, 19, 1650], Operations: ['50*33=1650']
Exploring Operation: 22+1650=1672, Resulting Numbers: [19, 1672]
Generated Node #3: [19, 1672] from Operation: 22+1650=1672
Current State: 88:[19, 1672], Operations: ['50*33=1650', '22+1650=1672']
Exploring Operation: 1672/19=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
16,
46,
56,
7
] | 42 | [
"16+46=62",
"62-56=6",
"7*6=42"
] | Current State: 42:[16, 46, 56, 7], Operations: []
Exploring Operation: 16+46=62, Resulting Numbers: [56, 7, 62]
Generated Node #2: [56, 7, 62] from Operation: 16+46=62
Current State: 42:[56, 7, 62], Operations: ['16+46=62']
Exploring Operation: 62-56=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 62-56=6
Current State: 42:[7, 6], Operations: ['16+46=62', '62-56=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
98,
99,
24,
70
] | 92 | [
"98+70=168",
"168/24=7",
"99-7=92"
] | Current State: 92:[98, 99, 24, 70], Operations: []
Exploring Operation: 98+70=168, Resulting Numbers: [99, 24, 168]
Generated Node #2: [99, 24, 168] from Operation: 98+70=168
Current State: 92:[99, 24, 168], Operations: ['98+70=168']
Exploring Operation: 168/24=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 168/24=7
Current State: 92:[99, 7], Operations: ['98+70=168', '168/24=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
48,
96,
88,
52
] | 16 | [
"96/48=2",
"52*2=104",
"104-88=16"
] | Current State: 16:[48, 96, 88, 52], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [88, 52, 2]
Generated Node #2: [88, 52, 2] from Operation: 96/48=2
Current State: 16:[88, 52, 2], Operations: ['96/48=2']
Exploring Operation: 52*2=104, Resulting Numbers: [88, 104]
Generated Node #3: [88, 104] from Operation: 52*2=104
Current State: 16:[88, 104], Operations: ['96/48=2', '52*2=104']
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
77,
3,
8,
5
] | 84 | [
"77-8=69",
"3*5=15",
"69+15=84"
] | Current State: 84:[77, 3, 8, 5], Operations: []
Exploring Operation: 77-8=69, Resulting Numbers: [3, 5, 69]
Generated Node #2: [3, 5, 69] from Operation: 77-8=69
Current State: 84:[3, 5, 69], Operations: ['77-8=69']
Exploring Operation: 3*5=15, Resulting Numbers: [69, 15]
Generated Node #3: [69, 15] from Operation: 3*5=15
Current State: 84:[69, 15], Operations: ['77-8=69', '3*5=15']
Exploring Operation: 69+15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
18,
91,
2
] | 52 | [
"91-30=61",
"18/2=9",
"61-9=52"
] | Current State: 52:[30, 18, 91, 2], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [18, 2, 61]
Generated Node #2: [18, 2, 61] from Operation: 91-30=61
Current State: 52:[18, 2, 61], Operations: ['91-30=61']
Exploring Operation: 18/2=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 18/2=9
Current State: 52:[61, 9], Operations: ['91-30=61', '18/2=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
30,
27,
7,
47
] | 60 | [
"7+47=54",
"30*54=1620",
"1620/27=60"
] | Current State: 60:[30, 27, 7, 47], Operations: []
Exploring Operation: 7+47=54, Resulting Numbers: [30, 27, 54]
Generated Node #2: [30, 27, 54] from Operation: 7+47=54
Current State: 60:[30, 27, 54], Operations: ['7+47=54']
Exploring Operation: 30*54=1620, Resulting Numbers: [27, 1620]
Generated Node #3: [27, 1620] from Operation: 30*54=1620
Current State: 60:[27, 1620], Operations: ['7+47=54', '30*54=1620']
Exploring Operation: 1620/27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
6,
18,
2,
49
] | 25 | [
"18-6=12",
"2*12=24",
"49-24=25"
] | Current State: 25:[6, 18, 2, 49], Operations: []
Exploring Operation: 18-6=12, Resulting Numbers: [2, 49, 12]
Generated Node #2: [2, 49, 12] from Operation: 18-6=12
Current State: 25:[2, 49, 12], Operations: ['18-6=12']
Exploring Operation: 2*12=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 2*12=24
Current State: 25:[49, 24], Operations: ['18-6=12', '2*12=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
3,
69,
81,
20
] | 78 | [
"69/3=23",
"81+20=101",
"101-23=78"
] | Current State: 78:[3, 69, 81, 20], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [81, 20, 23]
Generated Node #2: [81, 20, 23] from Operation: 69/3=23
Current State: 78:[81, 20, 23], Operations: ['69/3=23']
Exploring Operation: 81+20=101, Resulting Numbers: [23, 101]
Generated Node #3: [23, 101] from Operation: 81+20=101
Current State: 78:[23, 101], Operations: ['69/3=23', '81+20=101']
Exploring Operation: 101-23=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
82,
73,
66,
41
] | 40 | [
"82/41=2",
"66/2=33",
"73-33=40"
] | Current State: 40:[82, 73, 66, 41], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [73, 66, 2]
Generated Node #2: [73, 66, 2] from Operation: 82/41=2
Current State: 40:[73, 66, 2], Operations: ['82/41=2']
Exploring Operation: 66/2=33, Resulting Numbers: [73, 33]
Generated Node #3: [73, 33] from Operation: 66/2=33
Current State: 40:[73, 33], Operations: ['82/41=2', '66/2=33']
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
39,
37,
33,
33
] | 76 | [
"39+37=76",
"33-33=0",
"76+0=76"
] | Current State: 76:[39, 37, 33, 33], Operations: []
Exploring Operation: 39+37=76, Resulting Numbers: [33, 33, 76]
Generated Node #2: [33, 33, 76] from Operation: 39+37=76
Current State: 76:[33, 33, 76], Operations: ['39+37=76']
Exploring Operation: 33-33=0, Resulting Numbers: [76, 0]
Generated Node #3: [76, 0] from Operation: 33-33=0
Current State: 76:[76, 0], Operations: ['39+37=76', '33-33=0']
Exploring Operation: 76+0=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
91,
72,
31
] | 48 | [
"60+91=151",
"72+31=103",
"151-103=48"
] | Current State: 48:[60, 91, 72, 31], Operations: []
Exploring Operation: 60+91=151, Resulting Numbers: [72, 31, 151]
Generated Node #2: [72, 31, 151] from Operation: 60+91=151
Current State: 48:[72, 31, 151], Operations: ['60+91=151']
Exploring Operation: 72+31=103, Resulting Numbers: [151, 103]
Generated Node #3: [151, 103] from Operation: 72+31=103
Current State: 48:[151, 103], Operations: ['60+91=151', '72+31=103']
Exploring Operation: 151-103=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
15,
34,
76,
8
] | 76 | [
"34-15=19",
"8*19=152",
"152-76=76"
] | Current State: 76:[15, 34, 76, 8], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [76, 8, 19]
Generated Node #2: [76, 8, 19] from Operation: 34-15=19
Current State: 76:[76, 8, 19], Operations: ['34-15=19']
Exploring Operation: 8*19=152, Resulting Numbers: [76, 152]
Generated Node #3: [76, 152] from Operation: 8*19=152
Current State: 76:[76, 152], Operations: ['34-15=19', '8*19=152']
Exploring Operation: 152-76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
84,
39,
7,
10
] | 53 | [
"84+39=123",
"7*10=70",
"123-70=53"
] | Current State: 53:[84, 39, 7, 10], Operations: []
Exploring Operation: 84+39=123, Resulting Numbers: [7, 10, 123]
Generated Node #2: [7, 10, 123] from Operation: 84+39=123
Current State: 53:[7, 10, 123], Operations: ['84+39=123']
Exploring Operation: 7*10=70, Resulting Numbers: [123, 70]
Generated Node #3: [123, 70] from Operation: 7*10=70
Current State: 53:[123, 70], Operations: ['84+39=123', '7*10=70']
Exploring Operation: 123-70=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
11,
15,
6,
75
] | 12 | [
"11+6=17",
"75/15=5",
"17-5=12"
] | Current State: 12:[11, 15, 6, 75], Operations: []
Exploring Operation: 11+6=17, Resulting Numbers: [15, 75, 17]
Generated Node #2: [15, 75, 17] from Operation: 11+6=17
Current State: 12:[15, 75, 17], Operations: ['11+6=17']
Exploring Operation: 75/15=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 75/15=5
Current State: 12:[17, 5], Operations: ['11+6=17', '75/15=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
96,
10,
73,
79
] | 36 | [
"79-73=6",
"10*6=60",
"96-60=36"
] | Current State: 36:[96, 10, 73, 79], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [96, 10, 6]
Generated Node #2: [96, 10, 6] from Operation: 79-73=6
Current State: 36:[96, 10, 6], Operations: ['79-73=6']
Exploring Operation: 10*6=60, Resulting Numbers: [96, 60]
Generated Node #3: [96, 60] from Operation: 10*6=60
Current State: 36:[96, 60], Operations: ['79-73=6', '10*6=60']
Exploring Operation: 96-60=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
83,
45,
37,
54
] | 53 | [
"83-45=38",
"37+54=91",
"91-38=53"
] | Current State: 53:[83, 45, 37, 54], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [37, 54, 38]
Generated Node #2: [37, 54, 38] from Operation: 83-45=38
Current State: 53:[37, 54, 38], Operations: ['83-45=38']
Exploring Operation: 37+54=91, Resulting Numbers: [38, 91]
Generated Node #3: [38, 91] from Operation: 37+54=91
Current State: 53:[38, 91], Operations: ['83-45=38', '37+54=91']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
68,
36,
20,
54
] | 98 | [
"20*54=1080",
"1080/36=30",
"68+30=98"
] | Current State: 98:[68, 36, 20, 54], Operations: []
Exploring Operation: 20*54=1080, Resulting Numbers: [68, 36, 1080]
Generated Node #2: [68, 36, 1080] from Operation: 20*54=1080
Current State: 98:[68, 36, 1080], Operations: ['20*54=1080']
Exploring Operation: 1080/36=30, Resulting Numbers: [68, 30]
Generated Node #3: [68, 30] from Operation: 1080/36=30
Current State: 98:[68, 30], Operations: ['20*54=1080', '1080/36=30']
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
6,
15,
10,
5
] | 15 | [
"6*10=60",
"15*5=75",
"75-60=15"
] | Current State: 15:[6, 15, 10, 5], Operations: []
Exploring Operation: 6*10=60, Resulting Numbers: [15, 5, 60]
Generated Node #2: [15, 5, 60] from Operation: 6*10=60
Current State: 15:[15, 5, 60], Operations: ['6*10=60']
Exploring Operation: 15*5=75, Resulting Numbers: [60, 75]
Generated Node #3: [60, 75] from Operation: 15*5=75
Current State: 15:[60, 75], Operations: ['6*10=60', '15*5=75']
Exploring Operation: 75-60=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
18,
1,
93,
34
] | 95 | [
"18-1=17",
"34/17=2",
"93+2=95"
] | Current State: 95:[18, 1, 93, 34], Operations: []
Exploring Operation: 18-1=17, Resulting Numbers: [93, 34, 17]
Generated Node #2: [93, 34, 17] from Operation: 18-1=17
Current State: 95:[93, 34, 17], Operations: ['18-1=17']
Exploring Operation: 34/17=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 34/17=2
Current State: 95:[93, 2], Operations: ['18-1=17', '34/17=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
55,
21,
77,
26
] | 11 | [
"55*21=1155",
"1155/77=15",
"26-15=11"
] | Current State: 11:[55, 21, 77, 26], Operations: []
Exploring Operation: 55*21=1155, Resulting Numbers: [77, 26, 1155]
Generated Node #2: [77, 26, 1155] from Operation: 55*21=1155
Current State: 11:[77, 26, 1155], Operations: ['55*21=1155']
Exploring Operation: 1155/77=15, Resulting Numbers: [26, 15]
Generated Node #3: [26, 15] from Operation: 1155/77=15
Current State: 11:[26, 15], Operations: ['55*21=1155', '1155/77=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
95,
41,
3,
51
] | 99 | [
"95-41=54",
"3*51=153",
"153-54=99"
] | Current State: 99:[95, 41, 3, 51], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [3, 51, 54]
Generated Node #2: [3, 51, 54] from Operation: 95-41=54
Current State: 99:[3, 51, 54], Operations: ['95-41=54']
Exploring Operation: 3*51=153, Resulting Numbers: [54, 153]
Generated Node #3: [54, 153] from Operation: 3*51=153
Current State: 99:[54, 153], Operations: ['95-41=54', '3*51=153']
Exploring Operation: 153-54=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
47,
39,
23,
82
] | 97 | [
"47-39=8",
"23+82=105",
"105-8=97"
] | Current State: 97:[47, 39, 23, 82], Operations: []
Exploring Operation: 47-39=8, Resulting Numbers: [23, 82, 8]
Generated Node #2: [23, 82, 8] from Operation: 47-39=8
Current State: 97:[23, 82, 8], Operations: ['47-39=8']
Exploring Operation: 23+82=105, Resulting Numbers: [8, 105]
Generated Node #3: [8, 105] from Operation: 23+82=105
Current State: 97:[8, 105], Operations: ['47-39=8', '23+82=105']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
94,
45,
46,
68
] | 92 | [
"68-45=23",
"46/23=2",
"94-2=92"
] | Current State: 92:[94, 45, 46, 68], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [94, 46, 23]
Generated Node #2: [94, 46, 23] from Operation: 68-45=23
Current State: 92:[94, 46, 23], Operations: ['68-45=23']
Exploring Operation: 46/23=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 46/23=2
Current State: 92:[94, 2], Operations: ['68-45=23', '46/23=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
63,
33,
7,
68
] | 31 | [
"63-33=30",
"68-7=61",
"61-30=31"
] | Current State: 31:[63, 33, 7, 68], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [7, 68, 30]
Generated Node #2: [7, 68, 30] from Operation: 63-33=30
Current State: 31:[7, 68, 30], Operations: ['63-33=30']
Exploring Operation: 68-7=61, Resulting Numbers: [30, 61]
Generated Node #3: [30, 61] from Operation: 68-7=61
Current State: 31:[30, 61], Operations: ['63-33=30', '68-7=61']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
4,
9,
7,
3
] | 41 | [
"9+3=12",
"4*12=48",
"48-7=41"
] | Current State: 41:[4, 9, 7, 3], Operations: []
Exploring Operation: 9+3=12, Resulting Numbers: [4, 7, 12]
Generated Node #2: [4, 7, 12] from Operation: 9+3=12
Current State: 41:[4, 7, 12], Operations: ['9+3=12']
Exploring Operation: 4*12=48, Resulting Numbers: [7, 48]
Generated Node #3: [7, 48] from Operation: 4*12=48
Current State: 41:[7, 48], Operations: ['9+3=12', '4*12=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
28,
43,
56,
90
] | 88 | [
"56/28=2",
"90/2=45",
"43+45=88"
] | Current State: 88:[28, 43, 56, 90], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [43, 90, 2]
Generated Node #2: [43, 90, 2] from Operation: 56/28=2
Current State: 88:[43, 90, 2], Operations: ['56/28=2']
Exploring Operation: 90/2=45, Resulting Numbers: [43, 45]
Generated Node #3: [43, 45] from Operation: 90/2=45
Current State: 88:[43, 45], Operations: ['56/28=2', '90/2=45']
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
3,
48,
19,
4
] | 15 | [
"48/3=16",
"16/4=4",
"19-4=15"
] | Current State: 15:[3, 48, 19, 4], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [19, 4, 16]
Generated Node #2: [19, 4, 16] from Operation: 48/3=16
Current State: 15:[19, 4, 16], Operations: ['48/3=16']
Exploring Operation: 16/4=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 16/4=4
Current State: 15:[19, 4], Operations: ['48/3=16', '16/4=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
98,
8,
72,
48
] | 95 | [
"72-48=24",
"24/8=3",
"98-3=95"
] | Current State: 95:[98, 8, 72, 48], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [98, 8, 24]
Generated Node #2: [98, 8, 24] from Operation: 72-48=24
Current State: 95:[98, 8, 24], Operations: ['72-48=24']
Exploring Operation: 24/8=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 24/8=3
Current State: 95:[98, 3], Operations: ['72-48=24', '24/8=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
13,
4,
27,
71
] | 24 | [
"13+71=84",
"4*27=108",
"108-84=24"
] | Current State: 24:[13, 4, 27, 71], Operations: []
Exploring Operation: 13+71=84, Resulting Numbers: [4, 27, 84]
Generated Node #2: [4, 27, 84] from Operation: 13+71=84
Current State: 24:[4, 27, 84], Operations: ['13+71=84']
Exploring Operation: 4*27=108, Resulting Numbers: [84, 108]
Generated Node #3: [84, 108] from Operation: 4*27=108
Current State: 24:[84, 108], Operations: ['13+71=84', '4*27=108']
Exploring Operation: 108-84=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
48,
70,
26,
96
] | 61 | [
"48*70=3360",
"3360/96=35",
"26+35=61"
] | Current State: 61:[48, 70, 26, 96], Operations: []
Exploring Operation: 48*70=3360, Resulting Numbers: [26, 96, 3360]
Generated Node #2: [26, 96, 3360] from Operation: 48*70=3360
Current State: 61:[26, 96, 3360], Operations: ['48*70=3360']
Exploring Operation: 3360/96=35, Resulting Numbers: [26, 35]
Generated Node #3: [26, 35] from Operation: 3360/96=35
Current State: 61:[26, 35], Operations: ['48*70=3360', '3360/96=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
70,
56,
54,
50
] | 94 | [
"56*50=2800",
"2800/70=40",
"54+40=94"
] | Current State: 94:[70, 56, 54, 50], Operations: []
Exploring Operation: 56*50=2800, Resulting Numbers: [70, 54, 2800]
Generated Node #2: [70, 54, 2800] from Operation: 56*50=2800
Current State: 94:[70, 54, 2800], Operations: ['56*50=2800']
Exploring Operation: 2800/70=40, Resulting Numbers: [54, 40]
Generated Node #3: [54, 40] from Operation: 2800/70=40
Current State: 94:[54, 40], Operations: ['56*50=2800', '2800/70=40']
Exploring Operation: 54+40=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
35,
84,
14,
63
] | 92 | [
"35+63=98",
"84/14=6",
"98-6=92"
] | Current State: 92:[35, 84, 14, 63], Operations: []
Exploring Operation: 35+63=98, Resulting Numbers: [84, 14, 98]
Generated Node #2: [84, 14, 98] from Operation: 35+63=98
Current State: 92:[84, 14, 98], Operations: ['35+63=98']
Exploring Operation: 84/14=6, Resulting Numbers: [98, 6]
Generated Node #3: [98, 6] from Operation: 84/14=6
Current State: 92:[98, 6], Operations: ['35+63=98', '84/14=6']
Exploring Operation: 98-6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
99,
2,
1,
9
] | 22 | [
"99*2=198",
"1*9=9",
"198/9=22"
] | Current State: 22:[99, 2, 1, 9], Operations: []
Exploring Operation: 99*2=198, Resulting Numbers: [1, 9, 198]
Generated Node #2: [1, 9, 198] from Operation: 99*2=198
Current State: 22:[1, 9, 198], Operations: ['99*2=198']
Exploring Operation: 1*9=9, Resulting Numbers: [198, 9]
Generated Node #3: [198, 9] from Operation: 1*9=9
Current State: 22:[198, 9], Operations: ['99*2=198', '1*9=9']
Exploring Operation: 198/9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
93,
25,
40,
46
] | 74 | [
"93-25=68",
"46-40=6",
"68+6=74"
] | Current State: 74:[93, 25, 40, 46], Operations: []
Exploring Operation: 93-25=68, Resulting Numbers: [40, 46, 68]
Generated Node #2: [40, 46, 68] from Operation: 93-25=68
Current State: 74:[40, 46, 68], Operations: ['93-25=68']
Exploring Operation: 46-40=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 46-40=6
Current State: 74:[68, 6], Operations: ['93-25=68', '46-40=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
95,
24,
1,
12
] | 82 | [
"95-24=71",
"12-1=11",
"71+11=82"
] | Current State: 82:[95, 24, 1, 12], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [1, 12, 71]
Generated Node #2: [1, 12, 71] from Operation: 95-24=71
Current State: 82:[1, 12, 71], Operations: ['95-24=71']
Exploring Operation: 12-1=11, Resulting Numbers: [71, 11]
Generated Node #3: [71, 11] from Operation: 12-1=11
Current State: 82:[71, 11], Operations: ['95-24=71', '12-1=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
79,
83,
7,
62
] | 34 | [
"83-79=4",
"7*4=28",
"62-28=34"
] | Current State: 34:[79, 83, 7, 62], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [7, 62, 4]
Generated Node #2: [7, 62, 4] from Operation: 83-79=4
Current State: 34:[7, 62, 4], Operations: ['83-79=4']
Exploring Operation: 7*4=28, Resulting Numbers: [62, 28]
Generated Node #3: [62, 28] from Operation: 7*4=28
Current State: 34:[62, 28], Operations: ['83-79=4', '7*4=28']
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
90,
29,
30,
26
] | 26 | [
"90+26=116",
"116/29=4",
"30-4=26"
] | Current State: 26:[90, 29, 30, 26], Operations: []
Exploring Operation: 90+26=116, Resulting Numbers: [29, 30, 116]
Generated Node #2: [29, 30, 116] from Operation: 90+26=116
Current State: 26:[29, 30, 116], Operations: ['90+26=116']
Exploring Operation: 116/29=4, Resulting Numbers: [30, 4]
Generated Node #3: [30, 4] from Operation: 116/29=4
Current State: 26:[30, 4], Operations: ['90+26=116', '116/29=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
30,
23,
28,
62
] | 27 | [
"30-23=7",
"62-28=34",
"34-7=27"
] | Current State: 27:[30, 23, 28, 62], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [28, 62, 7]
Generated Node #2: [28, 62, 7] from Operation: 30-23=7
Current State: 27:[28, 62, 7], Operations: ['30-23=7']
Exploring Operation: 62-28=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 62-28=34
Current State: 27:[7, 34], Operations: ['30-23=7', '62-28=34']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
57,
62,
7,
29
] | 13 | [
"62*7=434",
"434-57=377",
"377/29=13"
] | Current State: 13:[57, 62, 7, 29], Operations: []
Exploring Operation: 62*7=434, Resulting Numbers: [57, 29, 434]
Generated Node #2: [57, 29, 434] from Operation: 62*7=434
Current State: 13:[57, 29, 434], Operations: ['62*7=434']
Exploring Operation: 434-57=377, Resulting Numbers: [29, 377]
Generated Node #3: [29, 377] from Operation: 434-57=377
Current State: 13:[29, 377], Operations: ['62*7=434', '434-57=377']
Exploring Operation: 377/29=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
18,
42,
61,
45
] | 46 | [
"18+42=60",
"61+45=106",
"106-60=46"
] | Current State: 46:[18, 42, 61, 45], Operations: []
Exploring Operation: 18+42=60, Resulting Numbers: [61, 45, 60]
Generated Node #2: [61, 45, 60] from Operation: 18+42=60
Current State: 46:[61, 45, 60], Operations: ['18+42=60']
Exploring Operation: 61+45=106, Resulting Numbers: [60, 106]
Generated Node #3: [60, 106] from Operation: 61+45=106
Current State: 46:[60, 106], Operations: ['18+42=60', '61+45=106']
Exploring Operation: 106-60=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
18,
36,
17,
75
] | 56 | [
"36/18=2",
"75-17=58",
"58-2=56"
] | Current State: 56:[18, 36, 17, 75], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [17, 75, 2]
Generated Node #2: [17, 75, 2] from Operation: 36/18=2
Current State: 56:[17, 75, 2], Operations: ['36/18=2']
Exploring Operation: 75-17=58, Resulting Numbers: [2, 58]
Generated Node #3: [2, 58] from Operation: 75-17=58
Current State: 56:[2, 58], Operations: ['36/18=2', '75-17=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
76,
32,
42,
46
] | 68 | [
"46-42=4",
"32/4=8",
"76-8=68"
] | Current State: 68:[76, 32, 42, 46], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [76, 32, 4]
Generated Node #2: [76, 32, 4] from Operation: 46-42=4
Current State: 68:[76, 32, 4], Operations: ['46-42=4']
Exploring Operation: 32/4=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 32/4=8
Current State: 68:[76, 8], Operations: ['46-42=4', '32/4=8']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
60,
44,
11,
58
] | 73 | [
"60*11=660",
"660/44=15",
"58+15=73"
] | Current State: 73:[60, 44, 11, 58], Operations: []
Exploring Operation: 60*11=660, Resulting Numbers: [44, 58, 660]
Generated Node #2: [44, 58, 660] from Operation: 60*11=660
Current State: 73:[44, 58, 660], Operations: ['60*11=660']
Exploring Operation: 660/44=15, Resulting Numbers: [58, 15]
Generated Node #3: [58, 15] from Operation: 660/44=15
Current State: 73:[58, 15], Operations: ['60*11=660', '660/44=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
59,
34,
31,
43
] | 34 | [
"59+43=102",
"34-31=3",
"102/3=34"
] | Current State: 34:[59, 34, 31, 43], Operations: []
Exploring Operation: 59+43=102, Resulting Numbers: [34, 31, 102]
Generated Node #2: [34, 31, 102] from Operation: 59+43=102
Current State: 34:[34, 31, 102], Operations: ['59+43=102']
Exploring Operation: 34-31=3, Resulting Numbers: [102, 3]
Generated Node #3: [102, 3] from Operation: 34-31=3
Current State: 34:[102, 3], Operations: ['59+43=102', '34-31=3']
Exploring Operation: 102/3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
7,
40,
19,
73
] | 100 | [
"7*19=133",
"73-40=33",
"133-33=100"
] | Current State: 100:[7, 40, 19, 73], Operations: []
Exploring Operation: 7*19=133, Resulting Numbers: [40, 73, 133]
Generated Node #2: [40, 73, 133] from Operation: 7*19=133
Current State: 100:[40, 73, 133], Operations: ['7*19=133']
Exploring Operation: 73-40=33, Resulting Numbers: [133, 33]
Generated Node #3: [133, 33] from Operation: 73-40=33
Current State: 100:[133, 33], Operations: ['7*19=133', '73-40=33']
Exploring Operation: 133-33=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
58,
51,
86,
3
] | 96 | [
"58-51=7",
"86+3=89",
"7+89=96"
] | Current State: 96:[58, 51, 86, 3], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [86, 3, 7]
Generated Node #2: [86, 3, 7] from Operation: 58-51=7
Current State: 96:[86, 3, 7], Operations: ['58-51=7']
Exploring Operation: 86+3=89, Resulting Numbers: [7, 89]
Generated Node #3: [7, 89] from Operation: 86+3=89
Current State: 96:[7, 89], Operations: ['58-51=7', '86+3=89']
Exploring Operation: 7+89=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
28,
92,
43,
1
] | 76 | [
"28+92=120",
"43+1=44",
"120-44=76"
] | Current State: 76:[28, 92, 43, 1], Operations: []
Exploring Operation: 28+92=120, Resulting Numbers: [43, 1, 120]
Generated Node #2: [43, 1, 120] from Operation: 28+92=120
Current State: 76:[43, 1, 120], Operations: ['28+92=120']
Exploring Operation: 43+1=44, Resulting Numbers: [120, 44]
Generated Node #3: [120, 44] from Operation: 43+1=44
Current State: 76:[120, 44], Operations: ['28+92=120', '43+1=44']
Exploring Operation: 120-44=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
60,
64,
76,
31
] | 41 | [
"64-60=4",
"76-31=45",
"45-4=41"
] | Current State: 41:[60, 64, 76, 31], Operations: []
Exploring Operation: 64-60=4, Resulting Numbers: [76, 31, 4]
Generated Node #2: [76, 31, 4] from Operation: 64-60=4
Current State: 41:[76, 31, 4], Operations: ['64-60=4']
Exploring Operation: 76-31=45, Resulting Numbers: [4, 45]
Generated Node #3: [4, 45] from Operation: 76-31=45
Current State: 41:[4, 45], Operations: ['64-60=4', '76-31=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
75,
17,
49,
59
] | 16 | [
"75+17=92",
"49+59=108",
"108-92=16"
] | Current State: 16:[75, 17, 49, 59], Operations: []
Exploring Operation: 75+17=92, Resulting Numbers: [49, 59, 92]
Generated Node #2: [49, 59, 92] from Operation: 75+17=92
Current State: 16:[49, 59, 92], Operations: ['75+17=92']
Exploring Operation: 49+59=108, Resulting Numbers: [92, 108]
Generated Node #3: [92, 108] from Operation: 49+59=108
Current State: 16:[92, 108], Operations: ['75+17=92', '49+59=108']
Exploring Operation: 108-92=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
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