nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
14,
85,
98,
66
] | 66 | [
"14+85=99",
"99-98=1",
"66*1=66"
] | Current State: 66:[14, 85, 98, 66], Operations: []
Exploring Operation: 14+85=99, Resulting Numbers: [98, 66, 99]
Generated Node #2: [98, 66, 99] from Operation: 14+85=99
Current State: 66:[98, 66, 99], Operations: ['14+85=99']
Exploring Operation: 99-98=1, Resulting Numbers: [66, 1]
Generated Node #3: [66, 1] from Operation: 99-98=1
Current State: 66:[66, 1], Operations: ['14+85=99', '99-98=1']
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
66,
10,
8,
79
] | 93 | [
"79-66=13",
"10*8=80",
"13+80=93"
] | Current State: 93:[66, 10, 8, 79], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [10, 8, 13]
Generated Node #2: [10, 8, 13] from Operation: 79-66=13
Current State: 93:[10, 8, 13], Operations: ['79-66=13']
Exploring Operation: 10*8=80, Resulting Numbers: [13, 80]
Generated Node #3: [13, 80] from Operation: 10*8=80
Current State: 93:[13, 80], Operations: ['79-66=13', '10*8=80']
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
85,
14,
28,
92
] | 30 | [
"92-85=7",
"14/7=2",
"28+2=30"
] | Current State: 30:[85, 14, 28, 92], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [14, 28, 7]
Generated Node #2: [14, 28, 7] from Operation: 92-85=7
Current State: 30:[14, 28, 7], Operations: ['92-85=7']
Exploring Operation: 14/7=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 14/7=2
Current State: 30:[28, 2], Operations: ['92-85=7', '14/7=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
99,
39,
63,
43
] | 46 | [
"99-39=60",
"63+43=106",
"106-60=46"
] | Current State: 46:[99, 39, 63, 43], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [63, 43, 60]
Generated Node #2: [63, 43, 60] from Operation: 99-39=60
Current State: 46:[63, 43, 60], Operations: ['99-39=60']
Exploring Operation: 63+43=106, Resulting Numbers: [60, 106]
Generated Node #3: [60, 106] from Operation: 63+43=106
Current State: 46:[60, 106], Operations: ['99-39=60', '63+43=106']
Exploring Operation: 106-60=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
59,
71,
25,
65
] | 28 | [
"71-59=12",
"65-25=40",
"40-12=28"
] | Current State: 28:[59, 71, 25, 65], Operations: []
Exploring Operation: 71-59=12, Resulting Numbers: [25, 65, 12]
Generated Node #2: [25, 65, 12] from Operation: 71-59=12
Current State: 28:[25, 65, 12], Operations: ['71-59=12']
Exploring Operation: 65-25=40, Resulting Numbers: [12, 40]
Generated Node #3: [12, 40] from Operation: 65-25=40
Current State: 28:[12, 40], Operations: ['71-59=12', '65-25=40']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
11,
7,
12,
1
] | 29 | [
"11+7=18",
"12-1=11",
"18+11=29"
] | Current State: 29:[11, 7, 12, 1], Operations: []
Exploring Operation: 11+7=18, Resulting Numbers: [12, 1, 18]
Generated Node #2: [12, 1, 18] from Operation: 11+7=18
Current State: 29:[12, 1, 18], Operations: ['11+7=18']
Exploring Operation: 12-1=11, Resulting Numbers: [18, 11]
Generated Node #3: [18, 11] from Operation: 12-1=11
Current State: 29:[18, 11], Operations: ['11+7=18', '12-1=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
11,
90,
2,
35
] | 68 | [
"11+90=101",
"35-2=33",
"101-33=68"
] | Current State: 68:[11, 90, 2, 35], Operations: []
Exploring Operation: 11+90=101, Resulting Numbers: [2, 35, 101]
Generated Node #2: [2, 35, 101] from Operation: 11+90=101
Current State: 68:[2, 35, 101], Operations: ['11+90=101']
Exploring Operation: 35-2=33, Resulting Numbers: [101, 33]
Generated Node #3: [101, 33] from Operation: 35-2=33
Current State: 68:[101, 33], Operations: ['11+90=101', '35-2=33']
Exploring Operation: 101-33=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
57,
20,
24
] | 99 | [
"9*20=180",
"57+24=81",
"180-81=99"
] | Current State: 99:[9, 57, 20, 24], Operations: []
Exploring Operation: 9*20=180, Resulting Numbers: [57, 24, 180]
Generated Node #2: [57, 24, 180] from Operation: 9*20=180
Current State: 99:[57, 24, 180], Operations: ['9*20=180']
Exploring Operation: 57+24=81, Resulting Numbers: [180, 81]
Generated Node #3: [180, 81] from Operation: 57+24=81
Current State: 99:[180, 81], Operations: ['9*20=180', '57+24=81']
Exploring Operation: 180-81=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
85,
2,
47,
41
] | 82 | [
"85*2=170",
"47+41=88",
"170-88=82"
] | Current State: 82:[85, 2, 47, 41], Operations: []
Exploring Operation: 85*2=170, Resulting Numbers: [47, 41, 170]
Generated Node #2: [47, 41, 170] from Operation: 85*2=170
Current State: 82:[47, 41, 170], Operations: ['85*2=170']
Exploring Operation: 47+41=88, Resulting Numbers: [170, 88]
Generated Node #3: [170, 88] from Operation: 47+41=88
Current State: 82:[170, 88], Operations: ['85*2=170', '47+41=88']
Exploring Operation: 170-88=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
12,
18,
78,
46
] | 26 | [
"18-12=6",
"78-46=32",
"32-6=26"
] | Current State: 26:[12, 18, 78, 46], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [78, 46, 6]
Generated Node #2: [78, 46, 6] from Operation: 18-12=6
Current State: 26:[78, 46, 6], Operations: ['18-12=6']
Exploring Operation: 78-46=32, Resulting Numbers: [6, 32]
Generated Node #3: [6, 32] from Operation: 78-46=32
Current State: 26:[6, 32], Operations: ['18-12=6', '78-46=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
47,
36,
39,
86
] | 35 | [
"47+39=86",
"86/86=1",
"36-1=35"
] | Current State: 35:[47, 36, 39, 86], Operations: []
Exploring Operation: 47+39=86, Resulting Numbers: [36, 86, 86]
Generated Node #2: [36, 86, 86] from Operation: 47+39=86
Current State: 35:[36, 86, 86], Operations: ['47+39=86']
Exploring Operation: 86/86=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 86/86=1
Current State: 35:[36, 1], Operations: ['47+39=86', '86/86=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
7,
7,
1,
62
] | 62 | [
"7-7=0",
"1*62=62",
"0+62=62"
] | Current State: 62:[7, 7, 1, 62], Operations: []
Exploring Operation: 7-7=0, Resulting Numbers: [1, 62, 0]
Generated Node #2: [1, 62, 0] from Operation: 7-7=0
Current State: 62:[1, 62, 0], Operations: ['7-7=0']
Exploring Operation: 1*62=62, Resulting Numbers: [0, 62]
Generated Node #3: [0, 62] from Operation: 1*62=62
Current State: 62:[0, 62], Operations: ['7-7=0', '1*62=62']
Exploring Operation: 0+62=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
7,
78,
31,
86
] | 25 | [
"86-78=8",
"7*8=56",
"56-31=25"
] | Current State: 25:[7, 78, 31, 86], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [7, 31, 8]
Generated Node #2: [7, 31, 8] from Operation: 86-78=8
Current State: 25:[7, 31, 8], Operations: ['86-78=8']
Exploring Operation: 7*8=56, Resulting Numbers: [31, 56]
Generated Node #3: [31, 56] from Operation: 7*8=56
Current State: 25:[31, 56], Operations: ['86-78=8', '7*8=56']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
66,
6,
17
] | 90 | [
"1+66=67",
"6+17=23",
"67+23=90"
] | Current State: 90:[1, 66, 6, 17], Operations: []
Exploring Operation: 1+66=67, Resulting Numbers: [6, 17, 67]
Generated Node #2: [6, 17, 67] from Operation: 1+66=67
Current State: 90:[6, 17, 67], Operations: ['1+66=67']
Exploring Operation: 6+17=23, Resulting Numbers: [67, 23]
Generated Node #3: [67, 23] from Operation: 6+17=23
Current State: 90:[67, 23], Operations: ['1+66=67', '6+17=23']
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
50,
4,
78,
90
] | 22 | [
"78-50=28",
"4*28=112",
"112-90=22"
] | Current State: 22:[50, 4, 78, 90], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [4, 90, 28]
Generated Node #2: [4, 90, 28] from Operation: 78-50=28
Current State: 22:[4, 90, 28], Operations: ['78-50=28']
Exploring Operation: 4*28=112, Resulting Numbers: [90, 112]
Generated Node #3: [90, 112] from Operation: 4*28=112
Current State: 22:[90, 112], Operations: ['78-50=28', '4*28=112']
Exploring Operation: 112-90=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
39,
45,
78,
32
] | 26 | [
"39+45=84",
"78+32=110",
"110-84=26"
] | Current State: 26:[39, 45, 78, 32], Operations: []
Exploring Operation: 39+45=84, Resulting Numbers: [78, 32, 84]
Generated Node #2: [78, 32, 84] from Operation: 39+45=84
Current State: 26:[78, 32, 84], Operations: ['39+45=84']
Exploring Operation: 78+32=110, Resulting Numbers: [84, 110]
Generated Node #3: [84, 110] from Operation: 78+32=110
Current State: 26:[84, 110], Operations: ['39+45=84', '78+32=110']
Exploring Operation: 110-84=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
82,
58,
36,
37
] | 67 | [
"82+58=140",
"36+37=73",
"140-73=67"
] | Current State: 67:[82, 58, 36, 37], Operations: []
Exploring Operation: 82+58=140, Resulting Numbers: [36, 37, 140]
Generated Node #2: [36, 37, 140] from Operation: 82+58=140
Current State: 67:[36, 37, 140], Operations: ['82+58=140']
Exploring Operation: 36+37=73, Resulting Numbers: [140, 73]
Generated Node #3: [140, 73] from Operation: 36+37=73
Current State: 67:[140, 73], Operations: ['82+58=140', '36+37=73']
Exploring Operation: 140-73=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
63,
75,
4
] | 63 | [
"4-4=0",
"75*0=0",
"63+0=63"
] | Current State: 63:[4, 63, 75, 4], Operations: []
Exploring Operation: 4-4=0, Resulting Numbers: [63, 75, 0]
Generated Node #2: [63, 75, 0] from Operation: 4-4=0
Current State: 63:[63, 75, 0], Operations: ['4-4=0']
Exploring Operation: 75*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 75*0=0
Current State: 63:[63, 0], Operations: ['4-4=0', '75*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
87,
86,
2,
53
] | 27 | [
"87-86=1",
"53+1=54",
"54/2=27"
] | Current State: 27:[87, 86, 2, 53], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [2, 53, 1]
Generated Node #2: [2, 53, 1] from Operation: 87-86=1
Current State: 27:[2, 53, 1], Operations: ['87-86=1']
Exploring Operation: 53+1=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 53+1=54
Current State: 27:[2, 54], Operations: ['87-86=1', '53+1=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
24,
6,
14,
40
] | 26 | [
"6+14=20",
"40/20=2",
"24+2=26"
] | Current State: 26:[24, 6, 14, 40], Operations: []
Exploring Operation: 6+14=20, Resulting Numbers: [24, 40, 20]
Generated Node #2: [24, 40, 20] from Operation: 6+14=20
Current State: 26:[24, 40, 20], Operations: ['6+14=20']
Exploring Operation: 40/20=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 40/20=2
Current State: 26:[24, 2], Operations: ['6+14=20', '40/20=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
80,
52,
27,
28
] | 56 | [
"80+28=108",
"108/27=4",
"52+4=56"
] | Current State: 56:[80, 52, 27, 28], Operations: []
Exploring Operation: 80+28=108, Resulting Numbers: [52, 27, 108]
Generated Node #2: [52, 27, 108] from Operation: 80+28=108
Current State: 56:[52, 27, 108], Operations: ['80+28=108']
Exploring Operation: 108/27=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 108/27=4
Current State: 56:[52, 4], Operations: ['80+28=108', '108/27=4']
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
96,
53,
70,
74
] | 92 | [
"96*53=5088",
"70*74=5180",
"5180-5088=92"
] | Current State: 92:[96, 53, 70, 74], Operations: []
Exploring Operation: 96*53=5088, Resulting Numbers: [70, 74, 5088]
Generated Node #2: [70, 74, 5088] from Operation: 96*53=5088
Current State: 92:[70, 74, 5088], Operations: ['96*53=5088']
Exploring Operation: 70*74=5180, Resulting Numbers: [5088, 5180]
Generated Node #3: [5088, 5180] from Operation: 70*74=5180
Current State: 92:[5088, 5180], Operations: ['96*53=5088', '70*74=5180']
Exploring Operation: 5180-5088=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
67,
15,
12,
85
] | 36 | [
"67+15=82",
"85-82=3",
"12*3=36"
] | Current State: 36:[67, 15, 12, 85], Operations: []
Exploring Operation: 67+15=82, Resulting Numbers: [12, 85, 82]
Generated Node #2: [12, 85, 82] from Operation: 67+15=82
Current State: 36:[12, 85, 82], Operations: ['67+15=82']
Exploring Operation: 85-82=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 85-82=3
Current State: 36:[12, 3], Operations: ['67+15=82', '85-82=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
29,
4,
94,
83
] | 44 | [
"29+4=33",
"94-83=11",
"33+11=44"
] | Current State: 44:[29, 4, 94, 83], Operations: []
Exploring Operation: 29+4=33, Resulting Numbers: [94, 83, 33]
Generated Node #2: [94, 83, 33] from Operation: 29+4=33
Current State: 44:[94, 83, 33], Operations: ['29+4=33']
Exploring Operation: 94-83=11, Resulting Numbers: [33, 11]
Generated Node #3: [33, 11] from Operation: 94-83=11
Current State: 44:[33, 11], Operations: ['29+4=33', '94-83=11']
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
2,
37,
92,
1
] | 74 | [
"37-1=36",
"36/2=18",
"92-18=74"
] | Current State: 74:[2, 37, 92, 1], Operations: []
Exploring Operation: 37-1=36, Resulting Numbers: [2, 92, 36]
Generated Node #2: [2, 92, 36] from Operation: 37-1=36
Current State: 74:[2, 92, 36], Operations: ['37-1=36']
Exploring Operation: 36/2=18, Resulting Numbers: [92, 18]
Generated Node #3: [92, 18] from Operation: 36/2=18
Current State: 74:[92, 18], Operations: ['37-1=36', '36/2=18']
Exploring Operation: 92-18=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
98,
36,
98,
24
] | 49 | [
"98*36=3528",
"3528/24=147",
"147-98=49"
] | Current State: 49:[98, 36, 98, 24], Operations: []
Exploring Operation: 98*36=3528, Resulting Numbers: [24, 3528]
Generated Node #2: [24, 3528] from Operation: 98*36=3528
Current State: 49:[24, 3528], Operations: ['98*36=3528']
Exploring Operation: 3528/24=147, Resulting Numbers: [147]
147,49 equal: Goal Reached
Exploring Operation: 147-98=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
95,
92,
26,
61
] | 38 | [
"95-92=3",
"61-26=35",
"3+35=38"
] | Current State: 38:[95, 92, 26, 61], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [26, 61, 3]
Generated Node #2: [26, 61, 3] from Operation: 95-92=3
Current State: 38:[26, 61, 3], Operations: ['95-92=3']
Exploring Operation: 61-26=35, Resulting Numbers: [3, 35]
Generated Node #3: [3, 35] from Operation: 61-26=35
Current State: 38:[3, 35], Operations: ['95-92=3', '61-26=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
9,
77,
3,
6
] | 84 | [
"9+77=86",
"6/3=2",
"86-2=84"
] | Current State: 84:[9, 77, 3, 6], Operations: []
Exploring Operation: 9+77=86, Resulting Numbers: [3, 6, 86]
Generated Node #2: [3, 6, 86] from Operation: 9+77=86
Current State: 84:[3, 6, 86], Operations: ['9+77=86']
Exploring Operation: 6/3=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 6/3=2
Current State: 84:[86, 2], Operations: ['9+77=86', '6/3=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
13,
79,
54,
88
] | 19 | [
"88-79=9",
"54/9=6",
"13+6=19"
] | Current State: 19:[13, 79, 54, 88], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [13, 54, 9]
Generated Node #2: [13, 54, 9] from Operation: 88-79=9
Current State: 19:[13, 54, 9], Operations: ['88-79=9']
Exploring Operation: 54/9=6, Resulting Numbers: [13, 6]
Generated Node #3: [13, 6] from Operation: 54/9=6
Current State: 19:[13, 6], Operations: ['88-79=9', '54/9=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
88,
40,
32,
1
] | 95 | [
"88+40=128",
"32+1=33",
"128-33=95"
] | Current State: 95:[88, 40, 32, 1], Operations: []
Exploring Operation: 88+40=128, Resulting Numbers: [32, 1, 128]
Generated Node #2: [32, 1, 128] from Operation: 88+40=128
Current State: 95:[32, 1, 128], Operations: ['88+40=128']
Exploring Operation: 32+1=33, Resulting Numbers: [128, 33]
Generated Node #3: [128, 33] from Operation: 32+1=33
Current State: 95:[128, 33], Operations: ['88+40=128', '32+1=33']
Exploring Operation: 128-33=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
41,
22,
28,
17
] | 82 | [
"41*22=902",
"28-17=11",
"902/11=82"
] | Current State: 82:[41, 22, 28, 17], Operations: []
Exploring Operation: 41*22=902, Resulting Numbers: [28, 17, 902]
Generated Node #2: [28, 17, 902] from Operation: 41*22=902
Current State: 82:[28, 17, 902], Operations: ['41*22=902']
Exploring Operation: 28-17=11, Resulting Numbers: [902, 11]
Generated Node #3: [902, 11] from Operation: 28-17=11
Current State: 82:[902, 11], Operations: ['41*22=902', '28-17=11']
Exploring Operation: 902/11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
80,
61,
33,
84
] | 32 | [
"80-61=19",
"84-33=51",
"51-19=32"
] | Current State: 32:[80, 61, 33, 84], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [33, 84, 19]
Generated Node #2: [33, 84, 19] from Operation: 80-61=19
Current State: 32:[33, 84, 19], Operations: ['80-61=19']
Exploring Operation: 84-33=51, Resulting Numbers: [19, 51]
Generated Node #3: [19, 51] from Operation: 84-33=51
Current State: 32:[19, 51], Operations: ['80-61=19', '84-33=51']
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
64,
44,
22,
86
] | 33 | [
"64*44=2816",
"22+2816=2838",
"2838/86=33"
] | Current State: 33:[64, 44, 22, 86], Operations: []
Exploring Operation: 64*44=2816, Resulting Numbers: [22, 86, 2816]
Generated Node #2: [22, 86, 2816] from Operation: 64*44=2816
Current State: 33:[22, 86, 2816], Operations: ['64*44=2816']
Exploring Operation: 22+2816=2838, Resulting Numbers: [86, 2838]
Generated Node #3: [86, 2838] from Operation: 22+2816=2838
Current State: 33:[86, 2838], Operations: ['64*44=2816', '22+2816=2838']
Exploring Operation: 2838/86=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
28,
17,
1,
68
] | 79 | [
"28-17=11",
"1*68=68",
"11+68=79"
] | Current State: 79:[28, 17, 1, 68], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [1, 68, 11]
Generated Node #2: [1, 68, 11] from Operation: 28-17=11
Current State: 79:[1, 68, 11], Operations: ['28-17=11']
Exploring Operation: 1*68=68, Resulting Numbers: [11, 68]
Generated Node #3: [11, 68] from Operation: 1*68=68
Current State: 79:[11, 68], Operations: ['28-17=11', '1*68=68']
Exploring Operation: 11+68=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
22,
35,
13,
54
] | 28 | [
"35-22=13",
"54-13=41",
"41-13=28"
] | Current State: 28:[22, 35, 13, 54], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [13, 54, 13]
Generated Node #2: [13, 54, 13] from Operation: 35-22=13
Current State: 28:[13, 54, 13], Operations: ['35-22=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,28 equal: Goal Reached
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
48,
2,
96,
60
] | 72 | [
"96-48=48",
"2*60=120",
"120-48=72"
] | Current State: 72:[48, 2, 96, 60], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [2, 60, 48]
Generated Node #2: [2, 60, 48] from Operation: 96-48=48
Current State: 72:[2, 60, 48], Operations: ['96-48=48']
Exploring Operation: 2*60=120, Resulting Numbers: [48, 120]
Generated Node #3: [48, 120] from Operation: 2*60=120
Current State: 72:[48, 120], Operations: ['96-48=48', '2*60=120']
Exploring Operation: 120-48=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
6,
97,
31,
15
] | 75 | [
"97-6=91",
"31-15=16",
"91-16=75"
] | Current State: 75:[6, 97, 31, 15], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [31, 15, 91]
Generated Node #2: [31, 15, 91] from Operation: 97-6=91
Current State: 75:[31, 15, 91], Operations: ['97-6=91']
Exploring Operation: 31-15=16, Resulting Numbers: [91, 16]
Generated Node #3: [91, 16] from Operation: 31-15=16
Current State: 75:[91, 16], Operations: ['97-6=91', '31-15=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
88,
83,
82,
28
] | 59 | [
"88-83=5",
"82-28=54",
"5+54=59"
] | Current State: 59:[88, 83, 82, 28], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [82, 28, 5]
Generated Node #2: [82, 28, 5] from Operation: 88-83=5
Current State: 59:[82, 28, 5], Operations: ['88-83=5']
Exploring Operation: 82-28=54, Resulting Numbers: [5, 54]
Generated Node #3: [5, 54] from Operation: 82-28=54
Current State: 59:[5, 54], Operations: ['88-83=5', '82-28=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
19,
47,
75,
61
] | 59 | [
"19+75=94",
"94/47=2",
"61-2=59"
] | Current State: 59:[19, 47, 75, 61], Operations: []
Exploring Operation: 19+75=94, Resulting Numbers: [47, 61, 94]
Generated Node #2: [47, 61, 94] from Operation: 19+75=94
Current State: 59:[47, 61, 94], Operations: ['19+75=94']
Exploring Operation: 94/47=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 94/47=2
Current State: 59:[61, 2], Operations: ['19+75=94', '94/47=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
78,
1,
37,
42
] | 72 | [
"78-1=77",
"42-37=5",
"77-5=72"
] | Current State: 72:[78, 1, 37, 42], Operations: []
Exploring Operation: 78-1=77, Resulting Numbers: [37, 42, 77]
Generated Node #2: [37, 42, 77] from Operation: 78-1=77
Current State: 72:[37, 42, 77], Operations: ['78-1=77']
Exploring Operation: 42-37=5, Resulting Numbers: [77, 5]
Generated Node #3: [77, 5] from Operation: 42-37=5
Current State: 72:[77, 5], Operations: ['78-1=77', '42-37=5']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
43,
25,
26,
73
] | 65 | [
"43-25=18",
"73-26=47",
"18+47=65"
] | Current State: 65:[43, 25, 26, 73], Operations: []
Exploring Operation: 43-25=18, Resulting Numbers: [26, 73, 18]
Generated Node #2: [26, 73, 18] from Operation: 43-25=18
Current State: 65:[26, 73, 18], Operations: ['43-25=18']
Exploring Operation: 73-26=47, Resulting Numbers: [18, 47]
Generated Node #3: [18, 47] from Operation: 73-26=47
Current State: 65:[18, 47], Operations: ['43-25=18', '73-26=47']
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
98,
25,
40,
6
] | 65 | [
"98+6=104",
"25*104=2600",
"2600/40=65"
] | Current State: 65:[98, 25, 40, 6], Operations: []
Exploring Operation: 98+6=104, Resulting Numbers: [25, 40, 104]
Generated Node #2: [25, 40, 104] from Operation: 98+6=104
Current State: 65:[25, 40, 104], Operations: ['98+6=104']
Exploring Operation: 25*104=2600, Resulting Numbers: [40, 2600]
Generated Node #3: [40, 2600] from Operation: 25*104=2600
Current State: 65:[40, 2600], Operations: ['98+6=104', '25*104=2600']
Exploring Operation: 2600/40=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
61,
42,
36,
54
] | 51 | [
"61*36=2196",
"2196-54=2142",
"2142/42=51"
] | Current State: 51:[61, 42, 36, 54], Operations: []
Exploring Operation: 61*36=2196, Resulting Numbers: [42, 54, 2196]
Generated Node #2: [42, 54, 2196] from Operation: 61*36=2196
Current State: 51:[42, 54, 2196], Operations: ['61*36=2196']
Exploring Operation: 2196-54=2142, Resulting Numbers: [42, 2142]
Generated Node #3: [42, 2142] from Operation: 2196-54=2142
Current State: 51:[42, 2142], Operations: ['61*36=2196', '2196-54=2142']
Exploring Operation: 2142/42=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
75,
5,
14,
60
] | 18 | [
"75/5=15",
"60/15=4",
"14+4=18"
] | Current State: 18:[75, 5, 14, 60], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [14, 60, 15]
Generated Node #2: [14, 60, 15] from Operation: 75/5=15
Current State: 18:[14, 60, 15], Operations: ['75/5=15']
Exploring Operation: 60/15=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 60/15=4
Current State: 18:[14, 4], Operations: ['75/5=15', '60/15=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
86,
84,
98,
90
] | 10 | [
"86-84=2",
"98-90=8",
"2+8=10"
] | Current State: 10:[86, 84, 98, 90], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [98, 90, 2]
Generated Node #2: [98, 90, 2] from Operation: 86-84=2
Current State: 10:[98, 90, 2], Operations: ['86-84=2']
Exploring Operation: 98-90=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 98-90=8
Current State: 10:[2, 8], Operations: ['86-84=2', '98-90=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
40,
11,
4,
14
] | 96 | [
"40*11=440",
"440/4=110",
"110-14=96"
] | Current State: 96:[40, 11, 4, 14], Operations: []
Exploring Operation: 40*11=440, Resulting Numbers: [4, 14, 440]
Generated Node #2: [4, 14, 440] from Operation: 40*11=440
Current State: 96:[4, 14, 440], Operations: ['40*11=440']
Exploring Operation: 440/4=110, Resulting Numbers: [14, 110]
Generated Node #3: [14, 110] from Operation: 440/4=110
Current State: 96:[14, 110], Operations: ['40*11=440', '440/4=110']
Exploring Operation: 110-14=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
21,
92,
66
] | 28 | [
"23-21=2",
"92-66=26",
"2+26=28"
] | Current State: 28:[23, 21, 92, 66], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [92, 66, 2]
Generated Node #2: [92, 66, 2] from Operation: 23-21=2
Current State: 28:[92, 66, 2], Operations: ['23-21=2']
Exploring Operation: 92-66=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 92-66=26
Current State: 28:[2, 26], Operations: ['23-21=2', '92-66=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
22,
87,
55,
11
] | 94 | [
"22+55=77",
"77/11=7",
"87+7=94"
] | Current State: 94:[22, 87, 55, 11], Operations: []
Exploring Operation: 22+55=77, Resulting Numbers: [87, 11, 77]
Generated Node #2: [87, 11, 77] from Operation: 22+55=77
Current State: 94:[87, 11, 77], Operations: ['22+55=77']
Exploring Operation: 77/11=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 77/11=7
Current State: 94:[87, 7], Operations: ['22+55=77', '77/11=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
84,
73,
70,
38
] | 49 | [
"84+73=157",
"70+38=108",
"157-108=49"
] | Current State: 49:[84, 73, 70, 38], Operations: []
Exploring Operation: 84+73=157, Resulting Numbers: [70, 38, 157]
Generated Node #2: [70, 38, 157] from Operation: 84+73=157
Current State: 49:[70, 38, 157], Operations: ['84+73=157']
Exploring Operation: 70+38=108, Resulting Numbers: [157, 108]
Generated Node #3: [157, 108] from Operation: 70+38=108
Current State: 49:[157, 108], Operations: ['84+73=157', '70+38=108']
Exploring Operation: 157-108=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
60,
99,
15,
77
] | 55 | [
"60*77=4620",
"99-15=84",
"4620/84=55"
] | Current State: 55:[60, 99, 15, 77], Operations: []
Exploring Operation: 60*77=4620, Resulting Numbers: [99, 15, 4620]
Generated Node #2: [99, 15, 4620] from Operation: 60*77=4620
Current State: 55:[99, 15, 4620], Operations: ['60*77=4620']
Exploring Operation: 99-15=84, Resulting Numbers: [4620, 84]
Generated Node #3: [4620, 84] from Operation: 99-15=84
Current State: 55:[4620, 84], Operations: ['60*77=4620', '99-15=84']
Exploring Operation: 4620/84=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
58,
42,
65,
51
] | 30 | [
"58-42=16",
"65-51=14",
"16+14=30"
] | Current State: 30:[58, 42, 65, 51], Operations: []
Exploring Operation: 58-42=16, Resulting Numbers: [65, 51, 16]
Generated Node #2: [65, 51, 16] from Operation: 58-42=16
Current State: 30:[65, 51, 16], Operations: ['58-42=16']
Exploring Operation: 65-51=14, Resulting Numbers: [16, 14]
Generated Node #3: [16, 14] from Operation: 65-51=14
Current State: 30:[16, 14], Operations: ['58-42=16', '65-51=14']
Exploring Operation: 16+14=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
91,
27,
9,
2
] | 47 | [
"27/9=3",
"91+3=94",
"94/2=47"
] | Current State: 47:[91, 27, 9, 2], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [91, 2, 3]
Generated Node #2: [91, 2, 3] from Operation: 27/9=3
Current State: 47:[91, 2, 3], Operations: ['27/9=3']
Exploring Operation: 91+3=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 91+3=94
Current State: 47:[2, 94], Operations: ['27/9=3', '91+3=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
62,
20,
34
] | 48 | [
"62-56=6",
"20+34=54",
"54-6=48"
] | Current State: 48:[56, 62, 20, 34], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [20, 34, 6]
Generated Node #2: [20, 34, 6] from Operation: 62-56=6
Current State: 48:[20, 34, 6], Operations: ['62-56=6']
Exploring Operation: 20+34=54, Resulting Numbers: [6, 54]
Generated Node #3: [6, 54] from Operation: 20+34=54
Current State: 48:[6, 54], Operations: ['62-56=6', '20+34=54']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
2,
54,
70,
58
] | 10 | [
"70+58=128",
"128/2=64",
"64-54=10"
] | Current State: 10:[2, 54, 70, 58], Operations: []
Exploring Operation: 70+58=128, Resulting Numbers: [2, 54, 128]
Generated Node #2: [2, 54, 128] from Operation: 70+58=128
Current State: 10:[2, 54, 128], Operations: ['70+58=128']
Exploring Operation: 128/2=64, Resulting Numbers: [54, 64]
Generated Node #3: [54, 64] from Operation: 128/2=64
Current State: 10:[54, 64], Operations: ['70+58=128', '128/2=64']
Exploring Operation: 64-54=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
28,
21,
42,
7
] | 23 | [
"42-28=14",
"14/7=2",
"21+2=23"
] | Current State: 23:[28, 21, 42, 7], Operations: []
Exploring Operation: 42-28=14, Resulting Numbers: [21, 7, 14]
Generated Node #2: [21, 7, 14] from Operation: 42-28=14
Current State: 23:[21, 7, 14], Operations: ['42-28=14']
Exploring Operation: 14/7=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 14/7=2
Current State: 23:[21, 2], Operations: ['42-28=14', '14/7=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
21,
19,
24,
27
] | 12 | [
"27-24=3",
"21/3=7",
"19-7=12"
] | Current State: 12:[21, 19, 24, 27], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [21, 19, 3]
Generated Node #2: [21, 19, 3] from Operation: 27-24=3
Current State: 12:[21, 19, 3], Operations: ['27-24=3']
Exploring Operation: 21/3=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 21/3=7
Current State: 12:[19, 7], Operations: ['27-24=3', '21/3=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
61,
71,
20,
76
] | 74 | [
"71-61=10",
"20/10=2",
"76-2=74"
] | Current State: 74:[61, 71, 20, 76], Operations: []
Exploring Operation: 71-61=10, Resulting Numbers: [20, 76, 10]
Generated Node #2: [20, 76, 10] from Operation: 71-61=10
Current State: 74:[20, 76, 10], Operations: ['71-61=10']
Exploring Operation: 20/10=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 20/10=2
Current State: 74:[76, 2], Operations: ['71-61=10', '20/10=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
36,
62,
23,
6
] | 55 | [
"62-36=26",
"23+6=29",
"26+29=55"
] | Current State: 55:[36, 62, 23, 6], Operations: []
Exploring Operation: 62-36=26, Resulting Numbers: [23, 6, 26]
Generated Node #2: [23, 6, 26] from Operation: 62-36=26
Current State: 55:[23, 6, 26], Operations: ['62-36=26']
Exploring Operation: 23+6=29, Resulting Numbers: [26, 29]
Generated Node #3: [26, 29] from Operation: 23+6=29
Current State: 55:[26, 29], Operations: ['62-36=26', '23+6=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
86,
26,
41,
28
] | 90 | [
"86-41=45",
"28-26=2",
"45*2=90"
] | Current State: 90:[86, 26, 41, 28], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [26, 28, 45]
Generated Node #2: [26, 28, 45] from Operation: 86-41=45
Current State: 90:[26, 28, 45], Operations: ['86-41=45']
Exploring Operation: 28-26=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 28-26=2
Current State: 90:[45, 2], Operations: ['86-41=45', '28-26=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
69,
9,
87,
58
] | 89 | [
"69-9=60",
"87-58=29",
"60+29=89"
] | Current State: 89:[69, 9, 87, 58], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [87, 58, 60]
Generated Node #2: [87, 58, 60] from Operation: 69-9=60
Current State: 89:[87, 58, 60], Operations: ['69-9=60']
Exploring Operation: 87-58=29, Resulting Numbers: [60, 29]
Generated Node #3: [60, 29] from Operation: 87-58=29
Current State: 89:[60, 29], Operations: ['69-9=60', '87-58=29']
Exploring Operation: 60+29=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
92,
34,
20
] | 42 | [
"4+92=96",
"34+20=54",
"96-54=42"
] | Current State: 42:[4, 92, 34, 20], Operations: []
Exploring Operation: 4+92=96, Resulting Numbers: [34, 20, 96]
Generated Node #2: [34, 20, 96] from Operation: 4+92=96
Current State: 42:[34, 20, 96], Operations: ['4+92=96']
Exploring Operation: 34+20=54, Resulting Numbers: [96, 54]
Generated Node #3: [96, 54] from Operation: 34+20=54
Current State: 42:[96, 54], Operations: ['4+92=96', '34+20=54']
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
24,
6,
2,
63
] | 61 | [
"24/6=4",
"2+63=65",
"65-4=61"
] | Current State: 61:[24, 6, 2, 63], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [2, 63, 4]
Generated Node #2: [2, 63, 4] from Operation: 24/6=4
Current State: 61:[2, 63, 4], Operations: ['24/6=4']
Exploring Operation: 2+63=65, Resulting Numbers: [4, 65]
Generated Node #3: [4, 65] from Operation: 2+63=65
Current State: 61:[4, 65], Operations: ['24/6=4', '2+63=65']
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
17,
30,
21,
12
] | 14 | [
"17+30=47",
"21+12=33",
"47-33=14"
] | Current State: 14:[17, 30, 21, 12], Operations: []
Exploring Operation: 17+30=47, Resulting Numbers: [21, 12, 47]
Generated Node #2: [21, 12, 47] from Operation: 17+30=47
Current State: 14:[21, 12, 47], Operations: ['17+30=47']
Exploring Operation: 21+12=33, Resulting Numbers: [47, 33]
Generated Node #3: [47, 33] from Operation: 21+12=33
Current State: 14:[47, 33], Operations: ['17+30=47', '21+12=33']
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
32,
78,
32,
80
] | 52 | [
"32*78=2496",
"80-32=48",
"2496/48=52"
] | Current State: 52:[32, 78, 32, 80], Operations: []
Exploring Operation: 32*78=2496, Resulting Numbers: [80, 2496]
Generated Node #2: [80, 2496] from Operation: 32*78=2496
Current State: 52:[80, 2496], Operations: ['32*78=2496']
Exploring Operation: 80-32=48, Resulting Numbers: [2496, 48]
Generated Node #3: [2496, 48] from Operation: 80-32=48
Current State: 52:[2496, 48], Operations: ['32*78=2496', '80-32=48']
Exploring Operation: 2496/48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
65,
75,
5,
34
] | 68 | [
"75-65=10",
"10/5=2",
"34*2=68"
] | Current State: 68:[65, 75, 5, 34], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [5, 34, 10]
Generated Node #2: [5, 34, 10] from Operation: 75-65=10
Current State: 68:[5, 34, 10], Operations: ['75-65=10']
Exploring Operation: 10/5=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 10/5=2
Current State: 68:[34, 2], Operations: ['75-65=10', '10/5=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
14,
55,
68,
64
] | 73 | [
"14+55=69",
"68-64=4",
"69+4=73"
] | Current State: 73:[14, 55, 68, 64], Operations: []
Exploring Operation: 14+55=69, Resulting Numbers: [68, 64, 69]
Generated Node #2: [68, 64, 69] from Operation: 14+55=69
Current State: 73:[68, 64, 69], Operations: ['14+55=69']
Exploring Operation: 68-64=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 68-64=4
Current State: 73:[69, 4], Operations: ['14+55=69', '68-64=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
39,
29,
37,
73
] | 100 | [
"39-29=10",
"37+73=110",
"110-10=100"
] | Current State: 100:[39, 29, 37, 73], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [37, 73, 10]
Generated Node #2: [37, 73, 10] from Operation: 39-29=10
Current State: 100:[37, 73, 10], Operations: ['39-29=10']
Exploring Operation: 37+73=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 37+73=110
Current State: 100:[10, 110], Operations: ['39-29=10', '37+73=110']
Exploring Operation: 110-10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
60,
94,
41,
12
] | 58 | [
"60/12=5",
"94-41=53",
"5+53=58"
] | Current State: 58:[60, 94, 41, 12], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [94, 41, 5]
Generated Node #2: [94, 41, 5] from Operation: 60/12=5
Current State: 58:[94, 41, 5], Operations: ['60/12=5']
Exploring Operation: 94-41=53, Resulting Numbers: [5, 53]
Generated Node #3: [5, 53] from Operation: 94-41=53
Current State: 58:[5, 53], Operations: ['60/12=5', '94-41=53']
Exploring Operation: 5+53=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
11,
31,
57,
33
] | 91 | [
"33/11=3",
"31+57=88",
"3+88=91"
] | Current State: 91:[11, 31, 57, 33], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [31, 57, 3]
Generated Node #2: [31, 57, 3] from Operation: 33/11=3
Current State: 91:[31, 57, 3], Operations: ['33/11=3']
Exploring Operation: 31+57=88, Resulting Numbers: [3, 88]
Generated Node #3: [3, 88] from Operation: 31+57=88
Current State: 91:[3, 88], Operations: ['33/11=3', '31+57=88']
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
67,
91,
22,
97
] | 65 | [
"97-91=6",
"22*6=132",
"132-67=65"
] | Current State: 65:[67, 91, 22, 97], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [67, 22, 6]
Generated Node #2: [67, 22, 6] from Operation: 97-91=6
Current State: 65:[67, 22, 6], Operations: ['97-91=6']
Exploring Operation: 22*6=132, Resulting Numbers: [67, 132]
Generated Node #3: [67, 132] from Operation: 22*6=132
Current State: 65:[67, 132], Operations: ['97-91=6', '22*6=132']
Exploring Operation: 132-67=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
49,
17,
32,
34
] | 34 | [
"49-17=32",
"32+34=66",
"66-32=34"
] | Current State: 34:[49, 17, 32, 34], Operations: []
Exploring Operation: 49-17=32, Resulting Numbers: [32, 34, 32]
Generated Node #2: [32, 34, 32] from Operation: 49-17=32
Current State: 34:[32, 34, 32], Operations: ['49-17=32']
Exploring Operation: 32+34=66, Resulting Numbers: [66]
66,34 equal: Goal Reached
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
12,
58,
44,
82
] | 62 | [
"44*82=3608",
"3608-12=3596",
"3596/58=62"
] | Current State: 62:[12, 58, 44, 82], Operations: []
Exploring Operation: 44*82=3608, Resulting Numbers: [12, 58, 3608]
Generated Node #2: [12, 58, 3608] from Operation: 44*82=3608
Current State: 62:[12, 58, 3608], Operations: ['44*82=3608']
Exploring Operation: 3608-12=3596, Resulting Numbers: [58, 3596]
Generated Node #3: [58, 3596] from Operation: 3608-12=3596
Current State: 62:[58, 3596], Operations: ['44*82=3608', '3608-12=3596']
Exploring Operation: 3596/58=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
22,
8,
69,
69
] | 38 | [
"22*8=176",
"69+69=138",
"176-138=38"
] | Current State: 38:[22, 8, 69, 69], Operations: []
Exploring Operation: 22*8=176, Resulting Numbers: [69, 69, 176]
Generated Node #2: [69, 69, 176] from Operation: 22*8=176
Current State: 38:[69, 69, 176], Operations: ['22*8=176']
Exploring Operation: 69+69=138, Resulting Numbers: [176, 138]
Generated Node #3: [176, 138] from Operation: 69+69=138
Current State: 38:[176, 138], Operations: ['22*8=176', '69+69=138']
Exploring Operation: 176-138=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
63,
3,
1,
49
] | 41 | [
"63-49=14",
"3*14=42",
"42-1=41"
] | Current State: 41:[63, 3, 1, 49], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [3, 1, 14]
Generated Node #2: [3, 1, 14] from Operation: 63-49=14
Current State: 41:[3, 1, 14], Operations: ['63-49=14']
Exploring Operation: 3*14=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 3*14=42
Current State: 41:[1, 42], Operations: ['63-49=14', '3*14=42']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
6,
76,
41,
75
] | 36 | [
"76-6=70",
"75-41=34",
"70-34=36"
] | Current State: 36:[6, 76, 41, 75], Operations: []
Exploring Operation: 76-6=70, Resulting Numbers: [41, 75, 70]
Generated Node #2: [41, 75, 70] from Operation: 76-6=70
Current State: 36:[41, 75, 70], Operations: ['76-6=70']
Exploring Operation: 75-41=34, Resulting Numbers: [70, 34]
Generated Node #3: [70, 34] from Operation: 75-41=34
Current State: 36:[70, 34], Operations: ['76-6=70', '75-41=34']
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
11,
61,
5,
34
] | 11 | [
"61-11=50",
"5+34=39",
"50-39=11"
] | Current State: 11:[11, 61, 5, 34], Operations: []
Exploring Operation: 61-11=50, Resulting Numbers: [5, 34, 50]
Generated Node #2: [5, 34, 50] from Operation: 61-11=50
Current State: 11:[5, 34, 50], Operations: ['61-11=50']
Exploring Operation: 5+34=39, Resulting Numbers: [50, 39]
Generated Node #3: [50, 39] from Operation: 5+34=39
Current State: 11:[50, 39], Operations: ['61-11=50', '5+34=39']
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
8,
3,
16,
81
] | 13 | [
"8-3=5",
"81-16=65",
"65/5=13"
] | Current State: 13:[8, 3, 16, 81], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [16, 81, 5]
Generated Node #2: [16, 81, 5] from Operation: 8-3=5
Current State: 13:[16, 81, 5], Operations: ['8-3=5']
Exploring Operation: 81-16=65, Resulting Numbers: [5, 65]
Generated Node #3: [5, 65] from Operation: 81-16=65
Current State: 13:[5, 65], Operations: ['8-3=5', '81-16=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
48,
27,
28,
14
] | 98 | [
"48-27=21",
"28-21=7",
"14*7=98"
] | Current State: 98:[48, 27, 28, 14], Operations: []
Exploring Operation: 48-27=21, Resulting Numbers: [28, 14, 21]
Generated Node #2: [28, 14, 21] from Operation: 48-27=21
Current State: 98:[28, 14, 21], Operations: ['48-27=21']
Exploring Operation: 28-21=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 28-21=7
Current State: 98:[14, 7], Operations: ['48-27=21', '28-21=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
65,
83,
64,
70
] | 14 | [
"65+83=148",
"64+70=134",
"148-134=14"
] | Current State: 14:[65, 83, 64, 70], Operations: []
Exploring Operation: 65+83=148, Resulting Numbers: [64, 70, 148]
Generated Node #2: [64, 70, 148] from Operation: 65+83=148
Current State: 14:[64, 70, 148], Operations: ['65+83=148']
Exploring Operation: 64+70=134, Resulting Numbers: [148, 134]
Generated Node #3: [148, 134] from Operation: 64+70=134
Current State: 14:[148, 134], Operations: ['65+83=148', '64+70=134']
Exploring Operation: 148-134=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
21,
84,
12,
3
] | 14 | [
"21-12=9",
"9-3=6",
"84/6=14"
] | Current State: 14:[21, 84, 12, 3], Operations: []
Exploring Operation: 21-12=9, Resulting Numbers: [84, 3, 9]
Generated Node #2: [84, 3, 9] from Operation: 21-12=9
Current State: 14:[84, 3, 9], Operations: ['21-12=9']
Exploring Operation: 9-3=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 9-3=6
Current State: 14:[84, 6], Operations: ['21-12=9', '9-3=6']
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
14,
16,
93,
17
] | 38 | [
"16-14=2",
"93-17=76",
"76/2=38"
] | Current State: 38:[14, 16, 93, 17], Operations: []
Exploring Operation: 16-14=2, Resulting Numbers: [93, 17, 2]
Generated Node #2: [93, 17, 2] from Operation: 16-14=2
Current State: 38:[93, 17, 2], Operations: ['16-14=2']
Exploring Operation: 93-17=76, Resulting Numbers: [2, 76]
Generated Node #3: [2, 76] from Operation: 93-17=76
Current State: 38:[2, 76], Operations: ['16-14=2', '93-17=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
55,
24,
26,
20
] | 45 | [
"26-24=2",
"20/2=10",
"55-10=45"
] | Current State: 45:[55, 24, 26, 20], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [55, 20, 2]
Generated Node #2: [55, 20, 2] from Operation: 26-24=2
Current State: 45:[55, 20, 2], Operations: ['26-24=2']
Exploring Operation: 20/2=10, Resulting Numbers: [55, 10]
Generated Node #3: [55, 10] from Operation: 20/2=10
Current State: 45:[55, 10], Operations: ['26-24=2', '20/2=10']
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
20,
57,
19,
1
] | 10 | [
"57/19=3",
"3-1=2",
"20/2=10"
] | Current State: 10:[20, 57, 19, 1], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [20, 1, 3]
Generated Node #2: [20, 1, 3] from Operation: 57/19=3
Current State: 10:[20, 1, 3], Operations: ['57/19=3']
Exploring Operation: 3-1=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 3-1=2
Current State: 10:[20, 2], Operations: ['57/19=3', '3-1=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
96,
99,
43,
64
] | 65 | [
"99-96=3",
"43*3=129",
"129-64=65"
] | Current State: 65:[96, 99, 43, 64], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [43, 64, 3]
Generated Node #2: [43, 64, 3] from Operation: 99-96=3
Current State: 65:[43, 64, 3], Operations: ['99-96=3']
Exploring Operation: 43*3=129, Resulting Numbers: [64, 129]
Generated Node #3: [64, 129] from Operation: 43*3=129
Current State: 65:[64, 129], Operations: ['99-96=3', '43*3=129']
Exploring Operation: 129-64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
98,
65,
54,
72
] | 93 | [
"98-65=33",
"54+72=126",
"126-33=93"
] | Current State: 93:[98, 65, 54, 72], Operations: []
Exploring Operation: 98-65=33, Resulting Numbers: [54, 72, 33]
Generated Node #2: [54, 72, 33] from Operation: 98-65=33
Current State: 93:[54, 72, 33], Operations: ['98-65=33']
Exploring Operation: 54+72=126, Resulting Numbers: [33, 126]
Generated Node #3: [33, 126] from Operation: 54+72=126
Current State: 93:[33, 126], Operations: ['98-65=33', '54+72=126']
Exploring Operation: 126-33=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
59,
42,
6,
29
] | 66 | [
"59+42=101",
"6+29=35",
"101-35=66"
] | Current State: 66:[59, 42, 6, 29], Operations: []
Exploring Operation: 59+42=101, Resulting Numbers: [6, 29, 101]
Generated Node #2: [6, 29, 101] from Operation: 59+42=101
Current State: 66:[6, 29, 101], Operations: ['59+42=101']
Exploring Operation: 6+29=35, Resulting Numbers: [101, 35]
Generated Node #3: [101, 35] from Operation: 6+29=35
Current State: 66:[101, 35], Operations: ['59+42=101', '6+29=35']
Exploring Operation: 101-35=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
35,
47,
2,
23
] | 76 | [
"35+23=58",
"58/2=29",
"47+29=76"
] | Current State: 76:[35, 47, 2, 23], Operations: []
Exploring Operation: 35+23=58, Resulting Numbers: [47, 2, 58]
Generated Node #2: [47, 2, 58] from Operation: 35+23=58
Current State: 76:[47, 2, 58], Operations: ['35+23=58']
Exploring Operation: 58/2=29, Resulting Numbers: [47, 29]
Generated Node #3: [47, 29] from Operation: 58/2=29
Current State: 76:[47, 29], Operations: ['35+23=58', '58/2=29']
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
85,
91,
49,
42
] | 72 | [
"49-42=7",
"91/7=13",
"85-13=72"
] | Current State: 72:[85, 91, 49, 42], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [85, 91, 7]
Generated Node #2: [85, 91, 7] from Operation: 49-42=7
Current State: 72:[85, 91, 7], Operations: ['49-42=7']
Exploring Operation: 91/7=13, Resulting Numbers: [85, 13]
Generated Node #3: [85, 13] from Operation: 91/7=13
Current State: 72:[85, 13], Operations: ['49-42=7', '91/7=13']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
18,
96,
97,
65
] | 54 | [
"18*96=1728",
"97-65=32",
"1728/32=54"
] | Current State: 54:[18, 96, 97, 65], Operations: []
Exploring Operation: 18*96=1728, Resulting Numbers: [97, 65, 1728]
Generated Node #2: [97, 65, 1728] from Operation: 18*96=1728
Current State: 54:[97, 65, 1728], Operations: ['18*96=1728']
Exploring Operation: 97-65=32, Resulting Numbers: [1728, 32]
Generated Node #3: [1728, 32] from Operation: 97-65=32
Current State: 54:[1728, 32], Operations: ['18*96=1728', '97-65=32']
Exploring Operation: 1728/32=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
6,
69,
65,
8
] | 24 | [
"69-65=4",
"8-4=4",
"6*4=24"
] | Current State: 24:[6, 69, 65, 8], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [6, 8, 4]
Generated Node #2: [6, 8, 4] from Operation: 69-65=4
Current State: 24:[6, 8, 4], Operations: ['69-65=4']
Exploring Operation: 8-4=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 8-4=4
Current State: 24:[6, 4], Operations: ['69-65=4', '8-4=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
18,
92,
34,
64
] | 12 | [
"18+92=110",
"34+64=98",
"110-98=12"
] | Current State: 12:[18, 92, 34, 64], Operations: []
Exploring Operation: 18+92=110, Resulting Numbers: [34, 64, 110]
Generated Node #2: [34, 64, 110] from Operation: 18+92=110
Current State: 12:[34, 64, 110], Operations: ['18+92=110']
Exploring Operation: 34+64=98, Resulting Numbers: [110, 98]
Generated Node #3: [110, 98] from Operation: 34+64=98
Current State: 12:[110, 98], Operations: ['18+92=110', '34+64=98']
Exploring Operation: 110-98=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
10,
30,
68,
6
] | 53 | [
"68-10=58",
"30/6=5",
"58-5=53"
] | Current State: 53:[10, 30, 68, 6], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [30, 6, 58]
Generated Node #2: [30, 6, 58] from Operation: 68-10=58
Current State: 53:[30, 6, 58], Operations: ['68-10=58']
Exploring Operation: 30/6=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 30/6=5
Current State: 53:[58, 5], Operations: ['68-10=58', '30/6=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
99,
13,
10
] | 19 | [
"13-2=11",
"99/11=9",
"10+9=19"
] | Current State: 19:[2, 99, 13, 10], Operations: []
Exploring Operation: 13-2=11, Resulting Numbers: [99, 10, 11]
Generated Node #2: [99, 10, 11] from Operation: 13-2=11
Current State: 19:[99, 10, 11], Operations: ['13-2=11']
Exploring Operation: 99/11=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 99/11=9
Current State: 19:[10, 9], Operations: ['13-2=11', '99/11=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
99,
90,
81,
93
] | 84 | [
"99-90=9",
"81/9=9",
"93-9=84"
] | Current State: 84:[99, 90, 81, 93], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [81, 93, 9]
Generated Node #2: [81, 93, 9] from Operation: 99-90=9
Current State: 84:[81, 93, 9], Operations: ['99-90=9']
Exploring Operation: 81/9=9, Resulting Numbers: [93, 9]
Generated Node #3: [93, 9] from Operation: 81/9=9
Current State: 84:[93, 9], Operations: ['99-90=9', '81/9=9']
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
56,
27,
95,
92
] | 87 | [
"56-27=29",
"95-92=3",
"29*3=87"
] | Current State: 87:[56, 27, 95, 92], Operations: []
Exploring Operation: 56-27=29, Resulting Numbers: [95, 92, 29]
Generated Node #2: [95, 92, 29] from Operation: 56-27=29
Current State: 87:[95, 92, 29], Operations: ['56-27=29']
Exploring Operation: 95-92=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 95-92=3
Current State: 87:[29, 3], Operations: ['56-27=29', '95-92=3']
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
39,
76,
50,
37
] | 13 | [
"39-37=2",
"76-50=26",
"26/2=13"
] | Current State: 13:[39, 76, 50, 37], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [76, 50, 2]
Generated Node #2: [76, 50, 2] from Operation: 39-37=2
Current State: 13:[76, 50, 2], Operations: ['39-37=2']
Exploring Operation: 76-50=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 76-50=26
Current State: 13:[2, 26], Operations: ['39-37=2', '76-50=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
90,
66,
4,
64
] | 70 | [
"90-66=24",
"24/4=6",
"64+6=70"
] | Current State: 70:[90, 66, 4, 64], Operations: []
Exploring Operation: 90-66=24, Resulting Numbers: [4, 64, 24]
Generated Node #2: [4, 64, 24] from Operation: 90-66=24
Current State: 70:[4, 64, 24], Operations: ['90-66=24']
Exploring Operation: 24/4=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 24/4=6
Current State: 70:[64, 6], Operations: ['90-66=24', '24/4=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
62,
25,
68,
42
] | 66 | [
"42-25=17",
"68/17=4",
"62+4=66"
] | Current State: 66:[62, 25, 68, 42], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [62, 68, 17]
Generated Node #2: [62, 68, 17] from Operation: 42-25=17
Current State: 66:[62, 68, 17], Operations: ['42-25=17']
Exploring Operation: 68/17=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 68/17=4
Current State: 66:[62, 4], Operations: ['42-25=17', '68/17=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
29,
55,
95
] | 54 | [
"55+95=150",
"150/6=25",
"29+25=54"
] | Current State: 54:[6, 29, 55, 95], Operations: []
Exploring Operation: 55+95=150, Resulting Numbers: [6, 29, 150]
Generated Node #2: [6, 29, 150] from Operation: 55+95=150
Current State: 54:[6, 29, 150], Operations: ['55+95=150']
Exploring Operation: 150/6=25, Resulting Numbers: [29, 25]
Generated Node #3: [29, 25] from Operation: 150/6=25
Current State: 54:[29, 25], Operations: ['55+95=150', '150/6=25']
Exploring Operation: 29+25=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
83,
21,
64,
13
] | 97 | [
"21*64=1344",
"1344-83=1261",
"1261/13=97"
] | Current State: 97:[83, 21, 64, 13], Operations: []
Exploring Operation: 21*64=1344, Resulting Numbers: [83, 13, 1344]
Generated Node #2: [83, 13, 1344] from Operation: 21*64=1344
Current State: 97:[83, 13, 1344], Operations: ['21*64=1344']
Exploring Operation: 1344-83=1261, Resulting Numbers: [13, 1261]
Generated Node #3: [13, 1261] from Operation: 1344-83=1261
Current State: 97:[13, 1261], Operations: ['21*64=1344', '1344-83=1261']
Exploring Operation: 1261/13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
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