nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
73,
89,
39
] | 72 | [
"73-39=34",
"34/2=17",
"89-17=72"
] | Current State: 72:[2, 73, 89, 39], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [2, 89, 34]
Generated Node #2: [2, 89, 34] from Operation: 73-39=34
Current State: 72:[2, 89, 34], Operations: ['73-39=34']
Exploring Operation: 34/2=17, Resulting Numbers: [89, 17]
Generated Node #3: [89, 17] from Operation: 34/2=17
Current State: 72:[89, 17], Operations: ['73-39=34', '34/2=17']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
77,
27,
30,
47
] | 26 | [
"77-30=47",
"47/47=1",
"27-1=26"
] | Current State: 26:[77, 27, 30, 47], Operations: []
Exploring Operation: 77-30=47, Resulting Numbers: [27, 47, 47]
Generated Node #2: [27, 47, 47] from Operation: 77-30=47
Current State: 26:[27, 47, 47], Operations: ['77-30=47']
Exploring Operation: 47/47=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 47/47=1
Current State: 26:[27, 1], Operations: ['77-30=47', '47/47=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
14,
20,
90,
9
] | 16 | [
"20-14=6",
"90/9=10",
"6+10=16"
] | Current State: 16:[14, 20, 90, 9], Operations: []
Exploring Operation: 20-14=6, Resulting Numbers: [90, 9, 6]
Generated Node #2: [90, 9, 6] from Operation: 20-14=6
Current State: 16:[90, 9, 6], Operations: ['20-14=6']
Exploring Operation: 90/9=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 90/9=10
Current State: 16:[6, 10], Operations: ['20-14=6', '90/9=10']
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
10,
21,
89,
60
] | 74 | [
"60/10=6",
"89-21=68",
"6+68=74"
] | Current State: 74:[10, 21, 89, 60], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [21, 89, 6]
Generated Node #2: [21, 89, 6] from Operation: 60/10=6
Current State: 74:[21, 89, 6], Operations: ['60/10=6']
Exploring Operation: 89-21=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 89-21=68
Current State: 74:[6, 68], Operations: ['60/10=6', '89-21=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
59,
94,
25,
70
] | 60 | [
"94-59=35",
"25+70=95",
"95-35=60"
] | Current State: 60:[59, 94, 25, 70], Operations: []
Exploring Operation: 94-59=35, Resulting Numbers: [25, 70, 35]
Generated Node #2: [25, 70, 35] from Operation: 94-59=35
Current State: 60:[25, 70, 35], Operations: ['94-59=35']
Exploring Operation: 25+70=95, Resulting Numbers: [35, 95]
Generated Node #3: [35, 95] from Operation: 25+70=95
Current State: 60:[35, 95], Operations: ['94-59=35', '25+70=95']
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
62,
13,
10
] | 12 | [
"62-47=15",
"13-10=3",
"15-3=12"
] | Current State: 12:[47, 62, 13, 10], Operations: []
Exploring Operation: 62-47=15, Resulting Numbers: [13, 10, 15]
Generated Node #2: [13, 10, 15] from Operation: 62-47=15
Current State: 12:[13, 10, 15], Operations: ['62-47=15']
Exploring Operation: 13-10=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 13-10=3
Current State: 12:[15, 3], Operations: ['62-47=15', '13-10=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
54,
10,
79,
39
] | 84 | [
"54-10=44",
"79-39=40",
"44+40=84"
] | Current State: 84:[54, 10, 79, 39], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [79, 39, 44]
Generated Node #2: [79, 39, 44] from Operation: 54-10=44
Current State: 84:[79, 39, 44], Operations: ['54-10=44']
Exploring Operation: 79-39=40, Resulting Numbers: [44, 40]
Generated Node #3: [44, 40] from Operation: 79-39=40
Current State: 84:[44, 40], Operations: ['54-10=44', '79-39=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
49,
44,
70,
59
] | 73 | [
"49-44=5",
"70/5=14",
"59+14=73"
] | Current State: 73:[49, 44, 70, 59], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [70, 59, 5]
Generated Node #2: [70, 59, 5] from Operation: 49-44=5
Current State: 73:[70, 59, 5], Operations: ['49-44=5']
Exploring Operation: 70/5=14, Resulting Numbers: [59, 14]
Generated Node #3: [59, 14] from Operation: 70/5=14
Current State: 73:[59, 14], Operations: ['49-44=5', '70/5=14']
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
72,
76,
5,
25
] | 34 | [
"76-72=4",
"5+25=30",
"4+30=34"
] | Current State: 34:[72, 76, 5, 25], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [5, 25, 4]
Generated Node #2: [5, 25, 4] from Operation: 76-72=4
Current State: 34:[5, 25, 4], Operations: ['76-72=4']
Exploring Operation: 5+25=30, Resulting Numbers: [4, 30]
Generated Node #3: [4, 30] from Operation: 5+25=30
Current State: 34:[4, 30], Operations: ['76-72=4', '5+25=30']
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
48,
3,
24,
59
] | 65 | [
"48*3=144",
"144/24=6",
"59+6=65"
] | Current State: 65:[48, 3, 24, 59], Operations: []
Exploring Operation: 48*3=144, Resulting Numbers: [24, 59, 144]
Generated Node #2: [24, 59, 144] from Operation: 48*3=144
Current State: 65:[24, 59, 144], Operations: ['48*3=144']
Exploring Operation: 144/24=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 144/24=6
Current State: 65:[59, 6], Operations: ['48*3=144', '144/24=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
36,
22,
2,
55
] | 67 | [
"36-22=14",
"55-2=53",
"14+53=67"
] | Current State: 67:[36, 22, 2, 55], Operations: []
Exploring Operation: 36-22=14, Resulting Numbers: [2, 55, 14]
Generated Node #2: [2, 55, 14] from Operation: 36-22=14
Current State: 67:[2, 55, 14], Operations: ['36-22=14']
Exploring Operation: 55-2=53, Resulting Numbers: [14, 53]
Generated Node #3: [14, 53] from Operation: 55-2=53
Current State: 67:[14, 53], Operations: ['36-22=14', '55-2=53']
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
37,
14,
35,
7
] | 96 | [
"37-35=2",
"14*7=98",
"98-2=96"
] | Current State: 96:[37, 14, 35, 7], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [14, 7, 2]
Generated Node #2: [14, 7, 2] from Operation: 37-35=2
Current State: 96:[14, 7, 2], Operations: ['37-35=2']
Exploring Operation: 14*7=98, Resulting Numbers: [2, 98]
Generated Node #3: [2, 98] from Operation: 14*7=98
Current State: 96:[2, 98], Operations: ['37-35=2', '14*7=98']
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
67,
88,
98,
18
] | 84 | [
"88-67=21",
"98*18=1764",
"1764/21=84"
] | Current State: 84:[67, 88, 98, 18], Operations: []
Exploring Operation: 88-67=21, Resulting Numbers: [98, 18, 21]
Generated Node #2: [98, 18, 21] from Operation: 88-67=21
Current State: 84:[98, 18, 21], Operations: ['88-67=21']
Exploring Operation: 98*18=1764, Resulting Numbers: [21, 1764]
Generated Node #3: [21, 1764] from Operation: 98*18=1764
Current State: 84:[21, 1764], Operations: ['88-67=21', '98*18=1764']
Exploring Operation: 1764/21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
51,
81,
44,
29
] | 79 | [
"51-29=22",
"44/22=2",
"81-2=79"
] | Current State: 79:[51, 81, 44, 29], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [81, 44, 22]
Generated Node #2: [81, 44, 22] from Operation: 51-29=22
Current State: 79:[81, 44, 22], Operations: ['51-29=22']
Exploring Operation: 44/22=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 44/22=2
Current State: 79:[81, 2], Operations: ['51-29=22', '44/22=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
58,
44,
49
] | 48 | [
"58-5=53",
"49-44=5",
"53-5=48"
] | Current State: 48:[5, 58, 44, 49], Operations: []
Exploring Operation: 58-5=53, Resulting Numbers: [44, 49, 53]
Generated Node #2: [44, 49, 53] from Operation: 58-5=53
Current State: 48:[44, 49, 53], Operations: ['58-5=53']
Exploring Operation: 49-44=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 49-44=5
Current State: 48:[53, 5], Operations: ['58-5=53', '49-44=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
85,
81,
11,
83
] | 76 | [
"85-81=4",
"83-11=72",
"4+72=76"
] | Current State: 76:[85, 81, 11, 83], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [11, 83, 4]
Generated Node #2: [11, 83, 4] from Operation: 85-81=4
Current State: 76:[11, 83, 4], Operations: ['85-81=4']
Exploring Operation: 83-11=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 83-11=72
Current State: 76:[4, 72], Operations: ['85-81=4', '83-11=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
23,
47,
36,
40
] | 100 | [
"47-23=24",
"36+40=76",
"24+76=100"
] | Current State: 100:[23, 47, 36, 40], Operations: []
Exploring Operation: 47-23=24, Resulting Numbers: [36, 40, 24]
Generated Node #2: [36, 40, 24] from Operation: 47-23=24
Current State: 100:[36, 40, 24], Operations: ['47-23=24']
Exploring Operation: 36+40=76, Resulting Numbers: [24, 76]
Generated Node #3: [24, 76] from Operation: 36+40=76
Current State: 100:[24, 76], Operations: ['47-23=24', '36+40=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
32,
49,
10,
8
] | 56 | [
"49-32=17",
"17-10=7",
"8*7=56"
] | Current State: 56:[32, 49, 10, 8], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [10, 8, 17]
Generated Node #2: [10, 8, 17] from Operation: 49-32=17
Current State: 56:[10, 8, 17], Operations: ['49-32=17']
Exploring Operation: 17-10=7, Resulting Numbers: [8, 7]
Generated Node #3: [8, 7] from Operation: 17-10=7
Current State: 56:[8, 7], Operations: ['49-32=17', '17-10=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
66,
89,
86,
24
] | 85 | [
"89-66=23",
"86-24=62",
"23+62=85"
] | Current State: 85:[66, 89, 86, 24], Operations: []
Exploring Operation: 89-66=23, Resulting Numbers: [86, 24, 23]
Generated Node #2: [86, 24, 23] from Operation: 89-66=23
Current State: 85:[86, 24, 23], Operations: ['89-66=23']
Exploring Operation: 86-24=62, Resulting Numbers: [23, 62]
Generated Node #3: [23, 62] from Operation: 86-24=62
Current State: 85:[23, 62], Operations: ['89-66=23', '86-24=62']
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
18,
95,
65,
52
] | 94 | [
"95*52=4940",
"4940/65=76",
"18+76=94"
] | Current State: 94:[18, 95, 65, 52], Operations: []
Exploring Operation: 95*52=4940, Resulting Numbers: [18, 65, 4940]
Generated Node #2: [18, 65, 4940] from Operation: 95*52=4940
Current State: 94:[18, 65, 4940], Operations: ['95*52=4940']
Exploring Operation: 4940/65=76, Resulting Numbers: [18, 76]
Generated Node #3: [18, 76] from Operation: 4940/65=76
Current State: 94:[18, 76], Operations: ['95*52=4940', '4940/65=76']
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
33,
62,
80,
28
] | 90 | [
"33-28=5",
"80-62=18",
"5*18=90"
] | Current State: 90:[33, 62, 80, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [62, 80, 5]
Generated Node #2: [62, 80, 5] from Operation: 33-28=5
Current State: 90:[62, 80, 5], Operations: ['33-28=5']
Exploring Operation: 80-62=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 80-62=18
Current State: 90:[5, 18], Operations: ['33-28=5', '80-62=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
91,
74,
61,
12
] | 92 | [
"91+74=165",
"61+12=73",
"165-73=92"
] | Current State: 92:[91, 74, 61, 12], Operations: []
Exploring Operation: 91+74=165, Resulting Numbers: [61, 12, 165]
Generated Node #2: [61, 12, 165] from Operation: 91+74=165
Current State: 92:[61, 12, 165], Operations: ['91+74=165']
Exploring Operation: 61+12=73, Resulting Numbers: [165, 73]
Generated Node #3: [165, 73] from Operation: 61+12=73
Current State: 92:[165, 73], Operations: ['91+74=165', '61+12=73']
Exploring Operation: 165-73=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
17,
14,
86,
32
] | 45 | [
"17*32=544",
"86+544=630",
"630/14=45"
] | Current State: 45:[17, 14, 86, 32], Operations: []
Exploring Operation: 17*32=544, Resulting Numbers: [14, 86, 544]
Generated Node #2: [14, 86, 544] from Operation: 17*32=544
Current State: 45:[14, 86, 544], Operations: ['17*32=544']
Exploring Operation: 86+544=630, Resulting Numbers: [14, 630]
Generated Node #3: [14, 630] from Operation: 86+544=630
Current State: 45:[14, 630], Operations: ['17*32=544', '86+544=630']
Exploring Operation: 630/14=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
2,
35,
5,
26
] | 100 | [
"26/2=13",
"5*13=65",
"35+65=100"
] | Current State: 100:[2, 35, 5, 26], Operations: []
Exploring Operation: 26/2=13, Resulting Numbers: [35, 5, 13]
Generated Node #2: [35, 5, 13] from Operation: 26/2=13
Current State: 100:[35, 5, 13], Operations: ['26/2=13']
Exploring Operation: 5*13=65, Resulting Numbers: [35, 65]
Generated Node #3: [35, 65] from Operation: 5*13=65
Current State: 100:[35, 65], Operations: ['26/2=13', '5*13=65']
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
41,
4,
83,
56
] | 17 | [
"41+83=124",
"124-56=68",
"68/4=17"
] | Current State: 17:[41, 4, 83, 56], Operations: []
Exploring Operation: 41+83=124, Resulting Numbers: [4, 56, 124]
Generated Node #2: [4, 56, 124] from Operation: 41+83=124
Current State: 17:[4, 56, 124], Operations: ['41+83=124']
Exploring Operation: 124-56=68, Resulting Numbers: [4, 68]
Generated Node #3: [4, 68] from Operation: 124-56=68
Current State: 17:[4, 68], Operations: ['41+83=124', '124-56=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
83,
53,
64,
23
] | 71 | [
"83-53=30",
"64-23=41",
"30+41=71"
] | Current State: 71:[83, 53, 64, 23], Operations: []
Exploring Operation: 83-53=30, Resulting Numbers: [64, 23, 30]
Generated Node #2: [64, 23, 30] from Operation: 83-53=30
Current State: 71:[64, 23, 30], Operations: ['83-53=30']
Exploring Operation: 64-23=41, Resulting Numbers: [30, 41]
Generated Node #3: [30, 41] from Operation: 64-23=41
Current State: 71:[30, 41], Operations: ['83-53=30', '64-23=41']
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
9,
34,
89,
12
] | 34 | [
"9+34=43",
"89-12=77",
"77-43=34"
] | Current State: 34:[9, 34, 89, 12], Operations: []
Exploring Operation: 9+34=43, Resulting Numbers: [89, 12, 43]
Generated Node #2: [89, 12, 43] from Operation: 9+34=43
Current State: 34:[89, 12, 43], Operations: ['9+34=43']
Exploring Operation: 89-12=77, Resulting Numbers: [43, 77]
Generated Node #3: [43, 77] from Operation: 89-12=77
Current State: 34:[43, 77], Operations: ['9+34=43', '89-12=77']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
8,
24,
5,
19
] | 65 | [
"8+24=32",
"32-19=13",
"5*13=65"
] | Current State: 65:[8, 24, 5, 19], Operations: []
Exploring Operation: 8+24=32, Resulting Numbers: [5, 19, 32]
Generated Node #2: [5, 19, 32] from Operation: 8+24=32
Current State: 65:[5, 19, 32], Operations: ['8+24=32']
Exploring Operation: 32-19=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 32-19=13
Current State: 65:[5, 13], Operations: ['8+24=32', '32-19=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
83,
48,
79,
82
] | 67 | [
"82-79=3",
"48/3=16",
"83-16=67"
] | Current State: 67:[83, 48, 79, 82], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [83, 48, 3]
Generated Node #2: [83, 48, 3] from Operation: 82-79=3
Current State: 67:[83, 48, 3], Operations: ['82-79=3']
Exploring Operation: 48/3=16, Resulting Numbers: [83, 16]
Generated Node #3: [83, 16] from Operation: 48/3=16
Current State: 67:[83, 16], Operations: ['82-79=3', '48/3=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
93,
32,
39,
56
] | 30 | [
"93+32=125",
"39+56=95",
"125-95=30"
] | Current State: 30:[93, 32, 39, 56], Operations: []
Exploring Operation: 93+32=125, Resulting Numbers: [39, 56, 125]
Generated Node #2: [39, 56, 125] from Operation: 93+32=125
Current State: 30:[39, 56, 125], Operations: ['93+32=125']
Exploring Operation: 39+56=95, Resulting Numbers: [125, 95]
Generated Node #3: [125, 95] from Operation: 39+56=95
Current State: 30:[125, 95], Operations: ['93+32=125', '39+56=95']
Exploring Operation: 125-95=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
14,
38,
49,
11
] | 90 | [
"14+38=52",
"49-11=38",
"52+38=90"
] | Current State: 90:[14, 38, 49, 11], Operations: []
Exploring Operation: 14+38=52, Resulting Numbers: [49, 11, 52]
Generated Node #2: [49, 11, 52] from Operation: 14+38=52
Current State: 90:[49, 11, 52], Operations: ['14+38=52']
Exploring Operation: 49-11=38, Resulting Numbers: [52, 38]
Generated Node #3: [52, 38] from Operation: 49-11=38
Current State: 90:[52, 38], Operations: ['14+38=52', '49-11=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
96,
9,
53
] | 90 | [
"96-68=28",
"9+53=62",
"28+62=90"
] | Current State: 90:[68, 96, 9, 53], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [9, 53, 28]
Generated Node #2: [9, 53, 28] from Operation: 96-68=28
Current State: 90:[9, 53, 28], Operations: ['96-68=28']
Exploring Operation: 9+53=62, Resulting Numbers: [28, 62]
Generated Node #3: [28, 62] from Operation: 9+53=62
Current State: 90:[28, 62], Operations: ['96-68=28', '9+53=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
72,
45,
65,
43
] | 49 | [
"72-45=27",
"65-43=22",
"27+22=49"
] | Current State: 49:[72, 45, 65, 43], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [65, 43, 27]
Generated Node #2: [65, 43, 27] from Operation: 72-45=27
Current State: 49:[65, 43, 27], Operations: ['72-45=27']
Exploring Operation: 65-43=22, Resulting Numbers: [27, 22]
Generated Node #3: [27, 22] from Operation: 65-43=22
Current State: 49:[27, 22], Operations: ['72-45=27', '65-43=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
37,
13,
2,
95
] | 10 | [
"37-2=35",
"95+35=130",
"130/13=10"
] | Current State: 10:[37, 13, 2, 95], Operations: []
Exploring Operation: 37-2=35, Resulting Numbers: [13, 95, 35]
Generated Node #2: [13, 95, 35] from Operation: 37-2=35
Current State: 10:[13, 95, 35], Operations: ['37-2=35']
Exploring Operation: 95+35=130, Resulting Numbers: [13, 130]
Generated Node #3: [13, 130] from Operation: 95+35=130
Current State: 10:[13, 130], Operations: ['37-2=35', '95+35=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
7,
21,
36,
42
] | 11 | [
"21*36=756",
"756/42=18",
"18-7=11"
] | Current State: 11:[7, 21, 36, 42], Operations: []
Exploring Operation: 21*36=756, Resulting Numbers: [7, 42, 756]
Generated Node #2: [7, 42, 756] from Operation: 21*36=756
Current State: 11:[7, 42, 756], Operations: ['21*36=756']
Exploring Operation: 756/42=18, Resulting Numbers: [7, 18]
Generated Node #3: [7, 18] from Operation: 756/42=18
Current State: 11:[7, 18], Operations: ['21*36=756', '756/42=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
80,
13,
27,
5
] | 81 | [
"80/5=16",
"16-13=3",
"27*3=81"
] | Current State: 81:[80, 13, 27, 5], Operations: []
Exploring Operation: 80/5=16, Resulting Numbers: [13, 27, 16]
Generated Node #2: [13, 27, 16] from Operation: 80/5=16
Current State: 81:[13, 27, 16], Operations: ['80/5=16']
Exploring Operation: 16-13=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 16-13=3
Current State: 81:[27, 3], Operations: ['80/5=16', '16-13=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
13,
76,
87,
43
] | 66 | [
"87+43=130",
"130/13=10",
"76-10=66"
] | Current State: 66:[13, 76, 87, 43], Operations: []
Exploring Operation: 87+43=130, Resulting Numbers: [13, 76, 130]
Generated Node #2: [13, 76, 130] from Operation: 87+43=130
Current State: 66:[13, 76, 130], Operations: ['87+43=130']
Exploring Operation: 130/13=10, Resulting Numbers: [76, 10]
Generated Node #3: [76, 10] from Operation: 130/13=10
Current State: 66:[76, 10], Operations: ['87+43=130', '130/13=10']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
33,
36,
38,
39
] | 36 | [
"33+39=72",
"38-36=2",
"72/2=36"
] | Current State: 36:[33, 36, 38, 39], Operations: []
Exploring Operation: 33+39=72, Resulting Numbers: [36, 38, 72]
Generated Node #2: [36, 38, 72] from Operation: 33+39=72
Current State: 36:[36, 38, 72], Operations: ['33+39=72']
Exploring Operation: 38-36=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 38-36=2
Current State: 36:[72, 2], Operations: ['33+39=72', '38-36=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
93,
30,
54,
28
] | 37 | [
"93-30=63",
"54-28=26",
"63-26=37"
] | Current State: 37:[93, 30, 54, 28], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [54, 28, 63]
Generated Node #2: [54, 28, 63] from Operation: 93-30=63
Current State: 37:[54, 28, 63], Operations: ['93-30=63']
Exploring Operation: 54-28=26, Resulting Numbers: [63, 26]
Generated Node #3: [63, 26] from Operation: 54-28=26
Current State: 37:[63, 26], Operations: ['93-30=63', '54-28=26']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
8,
86,
4,
47
] | 10 | [
"47-4=43",
"86/43=2",
"8+2=10"
] | Current State: 10:[8, 86, 4, 47], Operations: []
Exploring Operation: 47-4=43, Resulting Numbers: [8, 86, 43]
Generated Node #2: [8, 86, 43] from Operation: 47-4=43
Current State: 10:[8, 86, 43], Operations: ['47-4=43']
Exploring Operation: 86/43=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 86/43=2
Current State: 10:[8, 2], Operations: ['47-4=43', '86/43=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
98,
30,
83,
15
] | 17 | [
"98-83=15",
"30/15=2",
"15+2=17"
] | Current State: 17:[98, 30, 83, 15], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [30, 15, 15]
Generated Node #2: [30, 15, 15] from Operation: 98-83=15
Current State: 17:[30, 15, 15], Operations: ['98-83=15']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,17 equal: Goal Reached
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
11,
22,
10,
50
] | 93 | [
"11+22=33",
"10+50=60",
"33+60=93"
] | Current State: 93:[11, 22, 10, 50], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [10, 50, 33]
Generated Node #2: [10, 50, 33] from Operation: 11+22=33
Current State: 93:[10, 50, 33], Operations: ['11+22=33']
Exploring Operation: 10+50=60, Resulting Numbers: [33, 60]
Generated Node #3: [33, 60] from Operation: 10+50=60
Current State: 93:[33, 60], Operations: ['11+22=33', '10+50=60']
Exploring Operation: 33+60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
18,
62,
74,
64
] | 19 | [
"64-62=2",
"74/2=37",
"37-18=19"
] | Current State: 19:[18, 62, 74, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [18, 74, 2]
Generated Node #2: [18, 74, 2] from Operation: 64-62=2
Current State: 19:[18, 74, 2], Operations: ['64-62=2']
Exploring Operation: 74/2=37, Resulting Numbers: [18, 37]
Generated Node #3: [18, 37] from Operation: 74/2=37
Current State: 19:[18, 37], Operations: ['64-62=2', '74/2=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
41,
5,
74,
93
] | 72 | [
"74-41=33",
"5*33=165",
"165-93=72"
] | Current State: 72:[41, 5, 74, 93], Operations: []
Exploring Operation: 74-41=33, Resulting Numbers: [5, 93, 33]
Generated Node #2: [5, 93, 33] from Operation: 74-41=33
Current State: 72:[5, 93, 33], Operations: ['74-41=33']
Exploring Operation: 5*33=165, Resulting Numbers: [93, 165]
Generated Node #3: [93, 165] from Operation: 5*33=165
Current State: 72:[93, 165], Operations: ['74-41=33', '5*33=165']
Exploring Operation: 165-93=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
27,
72,
96,
96
] | 27 | [
"96-96=0",
"72*0=0",
"27+0=27"
] | Current State: 27:[27, 72, 96, 96], Operations: []
Exploring Operation: 96-96=0, Resulting Numbers: [27, 72, 0]
Generated Node #2: [27, 72, 0] from Operation: 96-96=0
Current State: 27:[27, 72, 0], Operations: ['96-96=0']
Exploring Operation: 72*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 72*0=0
Current State: 27:[27, 0], Operations: ['96-96=0', '72*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
57,
91,
64,
28
] | 58 | [
"91-57=34",
"64+28=92",
"92-34=58"
] | Current State: 58:[57, 91, 64, 28], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [64, 28, 34]
Generated Node #2: [64, 28, 34] from Operation: 91-57=34
Current State: 58:[64, 28, 34], Operations: ['91-57=34']
Exploring Operation: 64+28=92, Resulting Numbers: [34, 92]
Generated Node #3: [34, 92] from Operation: 64+28=92
Current State: 58:[34, 92], Operations: ['91-57=34', '64+28=92']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
49,
56,
25,
91
] | 59 | [
"56-49=7",
"91-25=66",
"66-7=59"
] | Current State: 59:[49, 56, 25, 91], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [25, 91, 7]
Generated Node #2: [25, 91, 7] from Operation: 56-49=7
Current State: 59:[25, 91, 7], Operations: ['56-49=7']
Exploring Operation: 91-25=66, Resulting Numbers: [7, 66]
Generated Node #3: [7, 66] from Operation: 91-25=66
Current State: 59:[7, 66], Operations: ['56-49=7', '91-25=66']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
31,
90,
4,
41
] | 72 | [
"90-31=59",
"59-41=18",
"4*18=72"
] | Current State: 72:[31, 90, 4, 41], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [4, 41, 59]
Generated Node #2: [4, 41, 59] from Operation: 90-31=59
Current State: 72:[4, 41, 59], Operations: ['90-31=59']
Exploring Operation: 59-41=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 59-41=18
Current State: 72:[4, 18], Operations: ['90-31=59', '59-41=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
18,
2,
19,
16
] | 69 | [
"18+19=37",
"2*16=32",
"37+32=69"
] | Current State: 69:[18, 2, 19, 16], Operations: []
Exploring Operation: 18+19=37, Resulting Numbers: [2, 16, 37]
Generated Node #2: [2, 16, 37] from Operation: 18+19=37
Current State: 69:[2, 16, 37], Operations: ['18+19=37']
Exploring Operation: 2*16=32, Resulting Numbers: [37, 32]
Generated Node #3: [37, 32] from Operation: 2*16=32
Current State: 69:[37, 32], Operations: ['18+19=37', '2*16=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
43,
9,
68,
40
] | 62 | [
"43-9=34",
"68-40=28",
"34+28=62"
] | Current State: 62:[43, 9, 68, 40], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [68, 40, 34]
Generated Node #2: [68, 40, 34] from Operation: 43-9=34
Current State: 62:[68, 40, 34], Operations: ['43-9=34']
Exploring Operation: 68-40=28, Resulting Numbers: [34, 28]
Generated Node #3: [34, 28] from Operation: 68-40=28
Current State: 62:[34, 28], Operations: ['43-9=34', '68-40=28']
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
93,
49,
45,
36
] | 53 | [
"93-49=44",
"45-36=9",
"44+9=53"
] | Current State: 53:[93, 49, 45, 36], Operations: []
Exploring Operation: 93-49=44, Resulting Numbers: [45, 36, 44]
Generated Node #2: [45, 36, 44] from Operation: 93-49=44
Current State: 53:[45, 36, 44], Operations: ['93-49=44']
Exploring Operation: 45-36=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 45-36=9
Current State: 53:[44, 9], Operations: ['93-49=44', '45-36=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
5,
49,
59,
21
] | 82 | [
"49-5=44",
"59-21=38",
"44+38=82"
] | Current State: 82:[5, 49, 59, 21], Operations: []
Exploring Operation: 49-5=44, Resulting Numbers: [59, 21, 44]
Generated Node #2: [59, 21, 44] from Operation: 49-5=44
Current State: 82:[59, 21, 44], Operations: ['49-5=44']
Exploring Operation: 59-21=38, Resulting Numbers: [44, 38]
Generated Node #3: [44, 38] from Operation: 59-21=38
Current State: 82:[44, 38], Operations: ['49-5=44', '59-21=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
40,
81,
29,
67
] | 79 | [
"81-40=41",
"67-29=38",
"41+38=79"
] | Current State: 79:[40, 81, 29, 67], Operations: []
Exploring Operation: 81-40=41, Resulting Numbers: [29, 67, 41]
Generated Node #2: [29, 67, 41] from Operation: 81-40=41
Current State: 79:[29, 67, 41], Operations: ['81-40=41']
Exploring Operation: 67-29=38, Resulting Numbers: [41, 38]
Generated Node #3: [41, 38] from Operation: 67-29=38
Current State: 79:[41, 38], Operations: ['81-40=41', '67-29=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
19,
90,
65,
87
] | 82 | [
"65+87=152",
"152/19=8",
"90-8=82"
] | Current State: 82:[19, 90, 65, 87], Operations: []
Exploring Operation: 65+87=152, Resulting Numbers: [19, 90, 152]
Generated Node #2: [19, 90, 152] from Operation: 65+87=152
Current State: 82:[19, 90, 152], Operations: ['65+87=152']
Exploring Operation: 152/19=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 152/19=8
Current State: 82:[90, 8], Operations: ['65+87=152', '152/19=8']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
13,
9,
5,
40
] | 83 | [
"13*9=117",
"5*40=200",
"200-117=83"
] | Current State: 83:[13, 9, 5, 40], Operations: []
Exploring Operation: 13*9=117, Resulting Numbers: [5, 40, 117]
Generated Node #2: [5, 40, 117] from Operation: 13*9=117
Current State: 83:[5, 40, 117], Operations: ['13*9=117']
Exploring Operation: 5*40=200, Resulting Numbers: [117, 200]
Generated Node #3: [117, 200] from Operation: 5*40=200
Current State: 83:[117, 200], Operations: ['13*9=117', '5*40=200']
Exploring Operation: 200-117=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
96,
78,
99,
5
] | 80 | [
"96+78=174",
"99-5=94",
"174-94=80"
] | Current State: 80:[96, 78, 99, 5], Operations: []
Exploring Operation: 96+78=174, Resulting Numbers: [99, 5, 174]
Generated Node #2: [99, 5, 174] from Operation: 96+78=174
Current State: 80:[99, 5, 174], Operations: ['96+78=174']
Exploring Operation: 99-5=94, Resulting Numbers: [174, 94]
Generated Node #3: [174, 94] from Operation: 99-5=94
Current State: 80:[174, 94], Operations: ['96+78=174', '99-5=94']
Exploring Operation: 174-94=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
64,
53,
24,
51
] | 38 | [
"64-53=11",
"51-24=27",
"11+27=38"
] | Current State: 38:[64, 53, 24, 51], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [24, 51, 11]
Generated Node #2: [24, 51, 11] from Operation: 64-53=11
Current State: 38:[24, 51, 11], Operations: ['64-53=11']
Exploring Operation: 51-24=27, Resulting Numbers: [11, 27]
Generated Node #3: [11, 27] from Operation: 51-24=27
Current State: 38:[11, 27], Operations: ['64-53=11', '51-24=27']
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
48,
49,
2
] | 16 | [
"50-49=1",
"2+1=3",
"48/3=16"
] | Current State: 16:[50, 48, 49, 2], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [48, 2, 1]
Generated Node #2: [48, 2, 1] from Operation: 50-49=1
Current State: 16:[48, 2, 1], Operations: ['50-49=1']
Exploring Operation: 2+1=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 2+1=3
Current State: 16:[48, 3], Operations: ['50-49=1', '2+1=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
26,
16,
9,
39
] | 29 | [
"9+39=48",
"48/16=3",
"26+3=29"
] | Current State: 29:[26, 16, 9, 39], Operations: []
Exploring Operation: 9+39=48, Resulting Numbers: [26, 16, 48]
Generated Node #2: [26, 16, 48] from Operation: 9+39=48
Current State: 29:[26, 16, 48], Operations: ['9+39=48']
Exploring Operation: 48/16=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 48/16=3
Current State: 29:[26, 3], Operations: ['9+39=48', '48/16=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
88,
80,
22,
19
] | 39 | [
"88/22=4",
"80/4=20",
"19+20=39"
] | Current State: 39:[88, 80, 22, 19], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [80, 19, 4]
Generated Node #2: [80, 19, 4] from Operation: 88/22=4
Current State: 39:[80, 19, 4], Operations: ['88/22=4']
Exploring Operation: 80/4=20, Resulting Numbers: [19, 20]
Generated Node #3: [19, 20] from Operation: 80/4=20
Current State: 39:[19, 20], Operations: ['88/22=4', '80/4=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
7,
32,
55,
77
] | 92 | [
"7*32=224",
"55+77=132",
"224-132=92"
] | Current State: 92:[7, 32, 55, 77], Operations: []
Exploring Operation: 7*32=224, Resulting Numbers: [55, 77, 224]
Generated Node #2: [55, 77, 224] from Operation: 7*32=224
Current State: 92:[55, 77, 224], Operations: ['7*32=224']
Exploring Operation: 55+77=132, Resulting Numbers: [224, 132]
Generated Node #3: [224, 132] from Operation: 55+77=132
Current State: 92:[224, 132], Operations: ['7*32=224', '55+77=132']
Exploring Operation: 224-132=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
48,
81,
3,
24
] | 60 | [
"81-48=33",
"3+24=27",
"33+27=60"
] | Current State: 60:[48, 81, 3, 24], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [3, 24, 33]
Generated Node #2: [3, 24, 33] from Operation: 81-48=33
Current State: 60:[3, 24, 33], Operations: ['81-48=33']
Exploring Operation: 3+24=27, Resulting Numbers: [33, 27]
Generated Node #3: [33, 27] from Operation: 3+24=27
Current State: 60:[33, 27], Operations: ['81-48=33', '3+24=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
39,
42,
66,
74
] | 73 | [
"39+42=81",
"74-66=8",
"81-8=73"
] | Current State: 73:[39, 42, 66, 74], Operations: []
Exploring Operation: 39+42=81, Resulting Numbers: [66, 74, 81]
Generated Node #2: [66, 74, 81] from Operation: 39+42=81
Current State: 73:[66, 74, 81], Operations: ['39+42=81']
Exploring Operation: 74-66=8, Resulting Numbers: [81, 8]
Generated Node #3: [81, 8] from Operation: 74-66=8
Current State: 73:[81, 8], Operations: ['39+42=81', '74-66=8']
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
68,
64,
81,
76
] | 72 | [
"81-64=17",
"68/17=4",
"76-4=72"
] | Current State: 72:[68, 64, 81, 76], Operations: []
Exploring Operation: 81-64=17, Resulting Numbers: [68, 76, 17]
Generated Node #2: [68, 76, 17] from Operation: 81-64=17
Current State: 72:[68, 76, 17], Operations: ['81-64=17']
Exploring Operation: 68/17=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 68/17=4
Current State: 72:[76, 4], Operations: ['81-64=17', '68/17=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
81,
92,
49,
95
] | 57 | [
"92-81=11",
"95-49=46",
"11+46=57"
] | Current State: 57:[81, 92, 49, 95], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [49, 95, 11]
Generated Node #2: [49, 95, 11] from Operation: 92-81=11
Current State: 57:[49, 95, 11], Operations: ['92-81=11']
Exploring Operation: 95-49=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 95-49=46
Current State: 57:[11, 46], Operations: ['92-81=11', '95-49=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
25,
75,
26,
45
] | 16 | [
"75/25=3",
"45-26=19",
"19-3=16"
] | Current State: 16:[25, 75, 26, 45], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [26, 45, 3]
Generated Node #2: [26, 45, 3] from Operation: 75/25=3
Current State: 16:[26, 45, 3], Operations: ['75/25=3']
Exploring Operation: 45-26=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 45-26=19
Current State: 16:[3, 19], Operations: ['75/25=3', '45-26=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
45,
59,
66,
2
] | 40 | [
"45+59=104",
"66-2=64",
"104-64=40"
] | Current State: 40:[45, 59, 66, 2], Operations: []
Exploring Operation: 45+59=104, Resulting Numbers: [66, 2, 104]
Generated Node #2: [66, 2, 104] from Operation: 45+59=104
Current State: 40:[66, 2, 104], Operations: ['45+59=104']
Exploring Operation: 66-2=64, Resulting Numbers: [104, 64]
Generated Node #3: [104, 64] from Operation: 66-2=64
Current State: 40:[104, 64], Operations: ['45+59=104', '66-2=64']
Exploring Operation: 104-64=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
96,
74,
88,
71
] | 67 | [
"96-74=22",
"88/22=4",
"71-4=67"
] | Current State: 67:[96, 74, 88, 71], Operations: []
Exploring Operation: 96-74=22, Resulting Numbers: [88, 71, 22]
Generated Node #2: [88, 71, 22] from Operation: 96-74=22
Current State: 67:[88, 71, 22], Operations: ['96-74=22']
Exploring Operation: 88/22=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 88/22=4
Current State: 67:[71, 4], Operations: ['96-74=22', '88/22=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
27,
24,
57
] | 12 | [
"27-24=3",
"57+3=60",
"60/5=12"
] | Current State: 12:[5, 27, 24, 57], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [5, 57, 3]
Generated Node #2: [5, 57, 3] from Operation: 27-24=3
Current State: 12:[5, 57, 3], Operations: ['27-24=3']
Exploring Operation: 57+3=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 57+3=60
Current State: 12:[5, 60], Operations: ['27-24=3', '57+3=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
15,
85,
4,
23
] | 87 | [
"23-15=8",
"8/4=2",
"85+2=87"
] | Current State: 87:[15, 85, 4, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [85, 4, 8]
Generated Node #2: [85, 4, 8] from Operation: 23-15=8
Current State: 87:[85, 4, 8], Operations: ['23-15=8']
Exploring Operation: 8/4=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 8/4=2
Current State: 87:[85, 2], Operations: ['23-15=8', '8/4=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
30,
12,
25
] | 19 | [
"3*12=36",
"30+25=55",
"55-36=19"
] | Current State: 19:[3, 30, 12, 25], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [30, 25, 36]
Generated Node #2: [30, 25, 36] from Operation: 3*12=36
Current State: 19:[30, 25, 36], Operations: ['3*12=36']
Exploring Operation: 30+25=55, Resulting Numbers: [36, 55]
Generated Node #3: [36, 55] from Operation: 30+25=55
Current State: 19:[36, 55], Operations: ['3*12=36', '30+25=55']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
43,
59,
64
] | 51 | [
"64-62=2",
"43+59=102",
"102/2=51"
] | Current State: 51:[62, 43, 59, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [43, 59, 2]
Generated Node #2: [43, 59, 2] from Operation: 64-62=2
Current State: 51:[43, 59, 2], Operations: ['64-62=2']
Exploring Operation: 43+59=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 43+59=102
Current State: 51:[2, 102], Operations: ['64-62=2', '43+59=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
20,
54,
15,
15
] | 75 | [
"20+54=74",
"15/15=1",
"74+1=75"
] | Current State: 75:[20, 54, 15, 15], Operations: []
Exploring Operation: 20+54=74, Resulting Numbers: [15, 15, 74]
Generated Node #2: [15, 15, 74] from Operation: 20+54=74
Current State: 75:[15, 15, 74], Operations: ['20+54=74']
Exploring Operation: 15/15=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 15/15=1
Current State: 75:[74, 1], Operations: ['20+54=74', '15/15=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
57,
17,
78
] | 51 | [
"30-17=13",
"78/13=6",
"57-6=51"
] | Current State: 51:[30, 57, 17, 78], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [57, 78, 13]
Generated Node #2: [57, 78, 13] from Operation: 30-17=13
Current State: 51:[57, 78, 13], Operations: ['30-17=13']
Exploring Operation: 78/13=6, Resulting Numbers: [57, 6]
Generated Node #3: [57, 6] from Operation: 78/13=6
Current State: 51:[57, 6], Operations: ['30-17=13', '78/13=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
27,
72,
2,
43
] | 80 | [
"43-27=16",
"16/2=8",
"72+8=80"
] | Current State: 80:[27, 72, 2, 43], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [72, 2, 16]
Generated Node #2: [72, 2, 16] from Operation: 43-27=16
Current State: 80:[72, 2, 16], Operations: ['43-27=16']
Exploring Operation: 16/2=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 16/2=8
Current State: 80:[72, 8], Operations: ['43-27=16', '16/2=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
93,
69,
27,
69
] | 27 | [
"69-69=0",
"93*0=0",
"27+0=27"
] | Current State: 27:[93, 69, 27, 69], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [93, 27, 0]
Generated Node #2: [93, 27, 0] from Operation: 69-69=0
Current State: 27:[93, 27, 0], Operations: ['69-69=0']
Exploring Operation: 93*0=0, Resulting Numbers: [27, 0]
Generated Node #3: [27, 0] from Operation: 93*0=0
Current State: 27:[27, 0], Operations: ['69-69=0', '93*0=0']
Exploring Operation: 27+0=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
23,
45,
87,
4
] | 15 | [
"23+45=68",
"87-4=83",
"83-68=15"
] | Current State: 15:[23, 45, 87, 4], Operations: []
Exploring Operation: 23+45=68, Resulting Numbers: [87, 4, 68]
Generated Node #2: [87, 4, 68] from Operation: 23+45=68
Current State: 15:[87, 4, 68], Operations: ['23+45=68']
Exploring Operation: 87-4=83, Resulting Numbers: [68, 83]
Generated Node #3: [68, 83] from Operation: 87-4=83
Current State: 15:[68, 83], Operations: ['23+45=68', '87-4=83']
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
83,
35,
95,
22
] | 25 | [
"83-35=48",
"95-22=73",
"73-48=25"
] | Current State: 25:[83, 35, 95, 22], Operations: []
Exploring Operation: 83-35=48, Resulting Numbers: [95, 22, 48]
Generated Node #2: [95, 22, 48] from Operation: 83-35=48
Current State: 25:[95, 22, 48], Operations: ['83-35=48']
Exploring Operation: 95-22=73, Resulting Numbers: [48, 73]
Generated Node #3: [48, 73] from Operation: 95-22=73
Current State: 25:[48, 73], Operations: ['83-35=48', '95-22=73']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
81,
26,
74,
33
] | 52 | [
"81-26=55",
"74+33=107",
"107-55=52"
] | Current State: 52:[81, 26, 74, 33], Operations: []
Exploring Operation: 81-26=55, Resulting Numbers: [74, 33, 55]
Generated Node #2: [74, 33, 55] from Operation: 81-26=55
Current State: 52:[74, 33, 55], Operations: ['81-26=55']
Exploring Operation: 74+33=107, Resulting Numbers: [55, 107]
Generated Node #3: [55, 107] from Operation: 74+33=107
Current State: 52:[55, 107], Operations: ['81-26=55', '74+33=107']
Exploring Operation: 107-55=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
52,
27,
23,
40
] | 42 | [
"52-27=25",
"40-23=17",
"25+17=42"
] | Current State: 42:[52, 27, 23, 40], Operations: []
Exploring Operation: 52-27=25, Resulting Numbers: [23, 40, 25]
Generated Node #2: [23, 40, 25] from Operation: 52-27=25
Current State: 42:[23, 40, 25], Operations: ['52-27=25']
Exploring Operation: 40-23=17, Resulting Numbers: [25, 17]
Generated Node #3: [25, 17] from Operation: 40-23=17
Current State: 42:[25, 17], Operations: ['52-27=25', '40-23=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
1,
47,
79,
64
] | 32 | [
"1*47=47",
"79-64=15",
"47-15=32"
] | Current State: 32:[1, 47, 79, 64], Operations: []
Exploring Operation: 1*47=47, Resulting Numbers: [79, 64, 47]
Generated Node #2: [79, 64, 47] from Operation: 1*47=47
Current State: 32:[79, 64, 47], Operations: ['1*47=47']
Exploring Operation: 79-64=15, Resulting Numbers: [47, 15]
Generated Node #3: [47, 15] from Operation: 79-64=15
Current State: 32:[47, 15], Operations: ['1*47=47', '79-64=15']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
74,
4,
37,
99
] | 97 | [
"74/37=2",
"99-4=95",
"2+95=97"
] | Current State: 97:[74, 4, 37, 99], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [4, 99, 2]
Generated Node #2: [4, 99, 2] from Operation: 74/37=2
Current State: 97:[4, 99, 2], Operations: ['74/37=2']
Exploring Operation: 99-4=95, Resulting Numbers: [2, 95]
Generated Node #3: [2, 95] from Operation: 99-4=95
Current State: 97:[2, 95], Operations: ['74/37=2', '99-4=95']
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
32,
18,
78,
38
] | 75 | [
"38-32=6",
"18/6=3",
"78-3=75"
] | Current State: 75:[32, 18, 78, 38], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [18, 78, 6]
Generated Node #2: [18, 78, 6] from Operation: 38-32=6
Current State: 75:[18, 78, 6], Operations: ['38-32=6']
Exploring Operation: 18/6=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 18/6=3
Current State: 75:[78, 3], Operations: ['38-32=6', '18/6=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
40,
79,
86,
2
] | 86 | [
"40*2=80",
"80-79=1",
"86*1=86"
] | Current State: 86:[40, 79, 86, 2], Operations: []
Exploring Operation: 40*2=80, Resulting Numbers: [79, 86, 80]
Generated Node #2: [79, 86, 80] from Operation: 40*2=80
Current State: 86:[79, 86, 80], Operations: ['40*2=80']
Exploring Operation: 80-79=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 80-79=1
Current State: 86:[86, 1], Operations: ['40*2=80', '80-79=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
72,
2,
38,
66
] | 20 | [
"38+66=104",
"104/2=52",
"72-52=20"
] | Current State: 20:[72, 2, 38, 66], Operations: []
Exploring Operation: 38+66=104, Resulting Numbers: [72, 2, 104]
Generated Node #2: [72, 2, 104] from Operation: 38+66=104
Current State: 20:[72, 2, 104], Operations: ['38+66=104']
Exploring Operation: 104/2=52, Resulting Numbers: [72, 52]
Generated Node #3: [72, 52] from Operation: 104/2=52
Current State: 20:[72, 52], Operations: ['38+66=104', '104/2=52']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
90,
69,
67,
22
] | 71 | [
"67-22=45",
"90/45=2",
"69+2=71"
] | Current State: 71:[90, 69, 67, 22], Operations: []
Exploring Operation: 67-22=45, Resulting Numbers: [90, 69, 45]
Generated Node #2: [90, 69, 45] from Operation: 67-22=45
Current State: 71:[90, 69, 45], Operations: ['67-22=45']
Exploring Operation: 90/45=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 90/45=2
Current State: 71:[69, 2], Operations: ['67-22=45', '90/45=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
98,
83,
97,
21
] | 91 | [
"98-83=15",
"97-21=76",
"15+76=91"
] | Current State: 91:[98, 83, 97, 21], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [97, 21, 15]
Generated Node #2: [97, 21, 15] from Operation: 98-83=15
Current State: 91:[97, 21, 15], Operations: ['98-83=15']
Exploring Operation: 97-21=76, Resulting Numbers: [15, 76]
Generated Node #3: [15, 76] from Operation: 97-21=76
Current State: 91:[15, 76], Operations: ['98-83=15', '97-21=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
74,
71,
37,
36
] | 77 | [
"71+37=108",
"108/36=3",
"74+3=77"
] | Current State: 77:[74, 71, 37, 36], Operations: []
Exploring Operation: 71+37=108, Resulting Numbers: [74, 36, 108]
Generated Node #2: [74, 36, 108] from Operation: 71+37=108
Current State: 77:[74, 36, 108], Operations: ['71+37=108']
Exploring Operation: 108/36=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 108/36=3
Current State: 77:[74, 3], Operations: ['71+37=108', '108/36=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
85,
8,
24,
6
] | 89 | [
"85+8=93",
"24/6=4",
"93-4=89"
] | Current State: 89:[85, 8, 24, 6], Operations: []
Exploring Operation: 85+8=93, Resulting Numbers: [24, 6, 93]
Generated Node #2: [24, 6, 93] from Operation: 85+8=93
Current State: 89:[24, 6, 93], Operations: ['85+8=93']
Exploring Operation: 24/6=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 24/6=4
Current State: 89:[93, 4], Operations: ['85+8=93', '24/6=4']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
32,
50,
74,
8
] | 28 | [
"32/8=4",
"74-50=24",
"4+24=28"
] | Current State: 28:[32, 50, 74, 8], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [50, 74, 4]
Generated Node #2: [50, 74, 4] from Operation: 32/8=4
Current State: 28:[50, 74, 4], Operations: ['32/8=4']
Exploring Operation: 74-50=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 74-50=24
Current State: 28:[4, 24], Operations: ['32/8=4', '74-50=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
34,
49,
93,
81
] | 91 | [
"34+49=83",
"93+81=174",
"174-83=91"
] | Current State: 91:[34, 49, 93, 81], Operations: []
Exploring Operation: 34+49=83, Resulting Numbers: [93, 81, 83]
Generated Node #2: [93, 81, 83] from Operation: 34+49=83
Current State: 91:[93, 81, 83], Operations: ['34+49=83']
Exploring Operation: 93+81=174, Resulting Numbers: [83, 174]
Generated Node #3: [83, 174] from Operation: 93+81=174
Current State: 91:[83, 174], Operations: ['34+49=83', '93+81=174']
Exploring Operation: 174-83=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
75,
29,
74,
80
] | 98 | [
"75+29=104",
"80-74=6",
"104-6=98"
] | Current State: 98:[75, 29, 74, 80], Operations: []
Exploring Operation: 75+29=104, Resulting Numbers: [74, 80, 104]
Generated Node #2: [74, 80, 104] from Operation: 75+29=104
Current State: 98:[74, 80, 104], Operations: ['75+29=104']
Exploring Operation: 80-74=6, Resulting Numbers: [104, 6]
Generated Node #3: [104, 6] from Operation: 80-74=6
Current State: 98:[104, 6], Operations: ['75+29=104', '80-74=6']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
7,
54,
93,
9
] | 84 | [
"7*9=63",
"54+93=147",
"147-63=84"
] | Current State: 84:[7, 54, 93, 9], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [54, 93, 63]
Generated Node #2: [54, 93, 63] from Operation: 7*9=63
Current State: 84:[54, 93, 63], Operations: ['7*9=63']
Exploring Operation: 54+93=147, Resulting Numbers: [63, 147]
Generated Node #3: [63, 147] from Operation: 54+93=147
Current State: 84:[63, 147], Operations: ['7*9=63', '54+93=147']
Exploring Operation: 147-63=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
32,
39,
63,
26
] | 34 | [
"32+39=71",
"63-26=37",
"71-37=34"
] | Current State: 34:[32, 39, 63, 26], Operations: []
Exploring Operation: 32+39=71, Resulting Numbers: [63, 26, 71]
Generated Node #2: [63, 26, 71] from Operation: 32+39=71
Current State: 34:[63, 26, 71], Operations: ['32+39=71']
Exploring Operation: 63-26=37, Resulting Numbers: [71, 37]
Generated Node #3: [71, 37] from Operation: 63-26=37
Current State: 34:[71, 37], Operations: ['32+39=71', '63-26=37']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
43,
24,
56,
28
] | 65 | [
"43+24=67",
"56/28=2",
"67-2=65"
] | Current State: 65:[43, 24, 56, 28], Operations: []
Exploring Operation: 43+24=67, Resulting Numbers: [56, 28, 67]
Generated Node #2: [56, 28, 67] from Operation: 43+24=67
Current State: 65:[56, 28, 67], Operations: ['43+24=67']
Exploring Operation: 56/28=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 56/28=2
Current State: 65:[67, 2], Operations: ['43+24=67', '56/28=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
16,
96,
3,
57
] | 87 | [
"16*3=48",
"96-57=39",
"48+39=87"
] | Current State: 87:[16, 96, 3, 57], Operations: []
Exploring Operation: 16*3=48, Resulting Numbers: [96, 57, 48]
Generated Node #2: [96, 57, 48] from Operation: 16*3=48
Current State: 87:[96, 57, 48], Operations: ['16*3=48']
Exploring Operation: 96-57=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 96-57=39
Current State: 87:[48, 39], Operations: ['16*3=48', '96-57=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
6,
12,
19,
46
] | 83 | [
"6+12=18",
"19+46=65",
"18+65=83"
] | Current State: 83:[6, 12, 19, 46], Operations: []
Exploring Operation: 6+12=18, Resulting Numbers: [19, 46, 18]
Generated Node #2: [19, 46, 18] from Operation: 6+12=18
Current State: 83:[19, 46, 18], Operations: ['6+12=18']
Exploring Operation: 19+46=65, Resulting Numbers: [18, 65]
Generated Node #3: [18, 65] from Operation: 19+46=65
Current State: 83:[18, 65], Operations: ['6+12=18', '19+46=65']
Exploring Operation: 18+65=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
9,
27,
75,
72
] | 73 | [
"9+27=36",
"72/36=2",
"75-2=73"
] | Current State: 73:[9, 27, 75, 72], Operations: []
Exploring Operation: 9+27=36, Resulting Numbers: [75, 72, 36]
Generated Node #2: [75, 72, 36] from Operation: 9+27=36
Current State: 73:[75, 72, 36], Operations: ['9+27=36']
Exploring Operation: 72/36=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 72/36=2
Current State: 73:[75, 2], Operations: ['9+27=36', '72/36=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
97,
33,
11,
16
] | 69 | [
"97-33=64",
"16-11=5",
"64+5=69"
] | Current State: 69:[97, 33, 11, 16], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [11, 16, 64]
Generated Node #2: [11, 16, 64] from Operation: 97-33=64
Current State: 69:[11, 16, 64], Operations: ['97-33=64']
Exploring Operation: 16-11=5, Resulting Numbers: [64, 5]
Generated Node #3: [64, 5] from Operation: 16-11=5
Current State: 69:[64, 5], Operations: ['97-33=64', '16-11=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
93,
76,
70,
15
] | 18 | [
"93+15=108",
"76-70=6",
"108/6=18"
] | Current State: 18:[93, 76, 70, 15], Operations: []
Exploring Operation: 93+15=108, Resulting Numbers: [76, 70, 108]
Generated Node #2: [76, 70, 108] from Operation: 93+15=108
Current State: 18:[76, 70, 108], Operations: ['93+15=108']
Exploring Operation: 76-70=6, Resulting Numbers: [108, 6]
Generated Node #3: [108, 6] from Operation: 76-70=6
Current State: 18:[108, 6], Operations: ['93+15=108', '76-70=6']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
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