nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
36,
9,
59,
50
] | 36 | [
"36+9=45",
"59-50=9",
"45-9=36"
] | Current State: 36:[36, 9, 59, 50], Operations: []
Exploring Operation: 36+9=45, Resulting Numbers: [59, 50, 45]
Generated Node #2: [59, 50, 45] from Operation: 36+9=45
Current State: 36:[59, 50, 45], Operations: ['36+9=45']
Exploring Operation: 59-50=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 59-50=9
Current State: 36:[45, 9], Operations: ['36+9=45', '59-50=9']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
51,
34,
98,
63
] | 50 | [
"51+34=85",
"98-63=35",
"85-35=50"
] | Current State: 50:[51, 34, 98, 63], Operations: []
Exploring Operation: 51+34=85, Resulting Numbers: [98, 63, 85]
Generated Node #2: [98, 63, 85] from Operation: 51+34=85
Current State: 50:[98, 63, 85], Operations: ['51+34=85']
Exploring Operation: 98-63=35, Resulting Numbers: [85, 35]
Generated Node #3: [85, 35] from Operation: 98-63=35
Current State: 50:[85, 35], Operations: ['51+34=85', '98-63=35']
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
15,
87,
98,
61
] | 23 | [
"15*87=1305",
"98+1305=1403",
"1403/61=23"
] | Current State: 23:[15, 87, 98, 61], Operations: []
Exploring Operation: 15*87=1305, Resulting Numbers: [98, 61, 1305]
Generated Node #2: [98, 61, 1305] from Operation: 15*87=1305
Current State: 23:[98, 61, 1305], Operations: ['15*87=1305']
Exploring Operation: 98+1305=1403, Resulting Numbers: [61, 1403]
Generated Node #3: [61, 1403] from Operation: 98+1305=1403
Current State: 23:[61, 1403], Operations: ['15*87=1305', '98+1305=1403']
Exploring Operation: 1403/61=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
70,
64,
26,
72
] | 40 | [
"70-64=6",
"72-26=46",
"46-6=40"
] | Current State: 40:[70, 64, 26, 72], Operations: []
Exploring Operation: 70-64=6, Resulting Numbers: [26, 72, 6]
Generated Node #2: [26, 72, 6] from Operation: 70-64=6
Current State: 40:[26, 72, 6], Operations: ['70-64=6']
Exploring Operation: 72-26=46, Resulting Numbers: [6, 46]
Generated Node #3: [6, 46] from Operation: 72-26=46
Current State: 40:[6, 46], Operations: ['70-64=6', '72-26=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
32,
2,
20,
18
] | 72 | [
"32+2=34",
"20+18=38",
"34+38=72"
] | Current State: 72:[32, 2, 20, 18], Operations: []
Exploring Operation: 32+2=34, Resulting Numbers: [20, 18, 34]
Generated Node #2: [20, 18, 34] from Operation: 32+2=34
Current State: 72:[20, 18, 34], Operations: ['32+2=34']
Exploring Operation: 20+18=38, Resulting Numbers: [34, 38]
Generated Node #3: [34, 38] from Operation: 20+18=38
Current State: 72:[34, 38], Operations: ['32+2=34', '20+18=38']
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
26,
40,
11,
19
] | 96 | [
"26+40=66",
"11+19=30",
"66+30=96"
] | Current State: 96:[26, 40, 11, 19], Operations: []
Exploring Operation: 26+40=66, Resulting Numbers: [11, 19, 66]
Generated Node #2: [11, 19, 66] from Operation: 26+40=66
Current State: 96:[11, 19, 66], Operations: ['26+40=66']
Exploring Operation: 11+19=30, Resulting Numbers: [66, 30]
Generated Node #3: [66, 30] from Operation: 11+19=30
Current State: 96:[66, 30], Operations: ['26+40=66', '11+19=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
59,
88,
2,
33
] | 70 | [
"59-33=26",
"88/2=44",
"26+44=70"
] | Current State: 70:[59, 88, 2, 33], Operations: []
Exploring Operation: 59-33=26, Resulting Numbers: [88, 2, 26]
Generated Node #2: [88, 2, 26] from Operation: 59-33=26
Current State: 70:[88, 2, 26], Operations: ['59-33=26']
Exploring Operation: 88/2=44, Resulting Numbers: [26, 44]
Generated Node #3: [26, 44] from Operation: 88/2=44
Current State: 70:[26, 44], Operations: ['59-33=26', '88/2=44']
Exploring Operation: 26+44=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
57,
66,
50,
4
] | 94 | [
"57-50=7",
"4*7=28",
"66+28=94"
] | Current State: 94:[57, 66, 50, 4], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [66, 4, 7]
Generated Node #2: [66, 4, 7] from Operation: 57-50=7
Current State: 94:[66, 4, 7], Operations: ['57-50=7']
Exploring Operation: 4*7=28, Resulting Numbers: [66, 28]
Generated Node #3: [66, 28] from Operation: 4*7=28
Current State: 94:[66, 28], Operations: ['57-50=7', '4*7=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
53,
7,
28,
42
] | 74 | [
"53+7=60",
"42-28=14",
"60+14=74"
] | Current State: 74:[53, 7, 28, 42], Operations: []
Exploring Operation: 53+7=60, Resulting Numbers: [28, 42, 60]
Generated Node #2: [28, 42, 60] from Operation: 53+7=60
Current State: 74:[28, 42, 60], Operations: ['53+7=60']
Exploring Operation: 42-28=14, Resulting Numbers: [60, 14]
Generated Node #3: [60, 14] from Operation: 42-28=14
Current State: 74:[60, 14], Operations: ['53+7=60', '42-28=14']
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
42,
95,
26,
31
] | 48 | [
"95-42=53",
"31-26=5",
"53-5=48"
] | Current State: 48:[42, 95, 26, 31], Operations: []
Exploring Operation: 95-42=53, Resulting Numbers: [26, 31, 53]
Generated Node #2: [26, 31, 53] from Operation: 95-42=53
Current State: 48:[26, 31, 53], Operations: ['95-42=53']
Exploring Operation: 31-26=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 31-26=5
Current State: 48:[53, 5], Operations: ['95-42=53', '31-26=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
92,
96,
88,
29
] | 51 | [
"96-92=4",
"88/4=22",
"29+22=51"
] | Current State: 51:[92, 96, 88, 29], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [88, 29, 4]
Generated Node #2: [88, 29, 4] from Operation: 96-92=4
Current State: 51:[88, 29, 4], Operations: ['96-92=4']
Exploring Operation: 88/4=22, Resulting Numbers: [29, 22]
Generated Node #3: [29, 22] from Operation: 88/4=22
Current State: 51:[29, 22], Operations: ['96-92=4', '88/4=22']
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
80,
90,
72,
81
] | 88 | [
"80*90=7200",
"7200-72=7128",
"7128/81=88"
] | Current State: 88:[80, 90, 72, 81], Operations: []
Exploring Operation: 80*90=7200, Resulting Numbers: [72, 81, 7200]
Generated Node #2: [72, 81, 7200] from Operation: 80*90=7200
Current State: 88:[72, 81, 7200], Operations: ['80*90=7200']
Exploring Operation: 7200-72=7128, Resulting Numbers: [81, 7128]
Generated Node #3: [81, 7128] from Operation: 7200-72=7128
Current State: 88:[81, 7128], Operations: ['80*90=7200', '7200-72=7128']
Exploring Operation: 7128/81=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
10,
4,
8,
33
] | 25 | [
"10-8=2",
"4*2=8",
"33-8=25"
] | Current State: 25:[10, 4, 8, 33], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [4, 33, 2]
Generated Node #2: [4, 33, 2] from Operation: 10-8=2
Current State: 25:[4, 33, 2], Operations: ['10-8=2']
Exploring Operation: 4*2=8, Resulting Numbers: [33, 8]
Generated Node #3: [33, 8] from Operation: 4*2=8
Current State: 25:[33, 8], Operations: ['10-8=2', '4*2=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
90,
39,
16
] | 89 | [
"39*16=624",
"624-90=534",
"534/6=89"
] | Current State: 89:[6, 90, 39, 16], Operations: []
Exploring Operation: 39*16=624, Resulting Numbers: [6, 90, 624]
Generated Node #2: [6, 90, 624] from Operation: 39*16=624
Current State: 89:[6, 90, 624], Operations: ['39*16=624']
Exploring Operation: 624-90=534, Resulting Numbers: [6, 534]
Generated Node #3: [6, 534] from Operation: 624-90=534
Current State: 89:[6, 534], Operations: ['39*16=624', '624-90=534']
Exploring Operation: 534/6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
11,
60,
86,
31
] | 83 | [
"31-11=20",
"60/20=3",
"86-3=83"
] | Current State: 83:[11, 60, 86, 31], Operations: []
Exploring Operation: 31-11=20, Resulting Numbers: [60, 86, 20]
Generated Node #2: [60, 86, 20] from Operation: 31-11=20
Current State: 83:[60, 86, 20], Operations: ['31-11=20']
Exploring Operation: 60/20=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 60/20=3
Current State: 83:[86, 3], Operations: ['31-11=20', '60/20=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
16,
24,
85,
72
] | 53 | [
"16+24=40",
"85-72=13",
"40+13=53"
] | Current State: 53:[16, 24, 85, 72], Operations: []
Exploring Operation: 16+24=40, Resulting Numbers: [85, 72, 40]
Generated Node #2: [85, 72, 40] from Operation: 16+24=40
Current State: 53:[85, 72, 40], Operations: ['16+24=40']
Exploring Operation: 85-72=13, Resulting Numbers: [40, 13]
Generated Node #3: [40, 13] from Operation: 85-72=13
Current State: 53:[40, 13], Operations: ['16+24=40', '85-72=13']
Exploring Operation: 40+13=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
94,
8,
64,
6
] | 32 | [
"94+8=102",
"64+6=70",
"102-70=32"
] | Current State: 32:[94, 8, 64, 6], Operations: []
Exploring Operation: 94+8=102, Resulting Numbers: [64, 6, 102]
Generated Node #2: [64, 6, 102] from Operation: 94+8=102
Current State: 32:[64, 6, 102], Operations: ['94+8=102']
Exploring Operation: 64+6=70, Resulting Numbers: [102, 70]
Generated Node #3: [102, 70] from Operation: 64+6=70
Current State: 32:[102, 70], Operations: ['94+8=102', '64+6=70']
Exploring Operation: 102-70=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
7,
18,
64,
3
] | 86 | [
"7+18=25",
"64-3=61",
"25+61=86"
] | Current State: 86:[7, 18, 64, 3], Operations: []
Exploring Operation: 7+18=25, Resulting Numbers: [64, 3, 25]
Generated Node #2: [64, 3, 25] from Operation: 7+18=25
Current State: 86:[64, 3, 25], Operations: ['7+18=25']
Exploring Operation: 64-3=61, Resulting Numbers: [25, 61]
Generated Node #3: [25, 61] from Operation: 64-3=61
Current State: 86:[25, 61], Operations: ['7+18=25', '64-3=61']
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
61,
84,
5
] | 68 | [
"9*5=45",
"84-61=23",
"45+23=68"
] | Current State: 68:[9, 61, 84, 5], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [61, 84, 45]
Generated Node #2: [61, 84, 45] from Operation: 9*5=45
Current State: 68:[61, 84, 45], Operations: ['9*5=45']
Exploring Operation: 84-61=23, Resulting Numbers: [45, 23]
Generated Node #3: [45, 23] from Operation: 84-61=23
Current State: 68:[45, 23], Operations: ['9*5=45', '84-61=23']
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
23,
56,
65,
75
] | 43 | [
"56-23=33",
"75-65=10",
"33+10=43"
] | Current State: 43:[23, 56, 65, 75], Operations: []
Exploring Operation: 56-23=33, Resulting Numbers: [65, 75, 33]
Generated Node #2: [65, 75, 33] from Operation: 56-23=33
Current State: 43:[65, 75, 33], Operations: ['56-23=33']
Exploring Operation: 75-65=10, Resulting Numbers: [33, 10]
Generated Node #3: [33, 10] from Operation: 75-65=10
Current State: 43:[33, 10], Operations: ['56-23=33', '75-65=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
84,
76,
85,
5
] | 81 | [
"85-84=1",
"76+5=81",
"1*81=81"
] | Current State: 81:[84, 76, 85, 5], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [76, 5, 1]
Generated Node #2: [76, 5, 1] from Operation: 85-84=1
Current State: 81:[76, 5, 1], Operations: ['85-84=1']
Exploring Operation: 76+5=81, Resulting Numbers: [1, 81]
Generated Node #3: [1, 81] from Operation: 76+5=81
Current State: 81:[1, 81], Operations: ['85-84=1', '76+5=81']
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
85,
49,
1,
54
] | 81 | [
"85+49=134",
"54-1=53",
"134-53=81"
] | Current State: 81:[85, 49, 1, 54], Operations: []
Exploring Operation: 85+49=134, Resulting Numbers: [1, 54, 134]
Generated Node #2: [1, 54, 134] from Operation: 85+49=134
Current State: 81:[1, 54, 134], Operations: ['85+49=134']
Exploring Operation: 54-1=53, Resulting Numbers: [134, 53]
Generated Node #3: [134, 53] from Operation: 54-1=53
Current State: 81:[134, 53], Operations: ['85+49=134', '54-1=53']
Exploring Operation: 134-53=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
44,
7,
12,
29
] | 14 | [
"29-7=22",
"44/22=2",
"12+2=14"
] | Current State: 14:[44, 7, 12, 29], Operations: []
Exploring Operation: 29-7=22, Resulting Numbers: [44, 12, 22]
Generated Node #2: [44, 12, 22] from Operation: 29-7=22
Current State: 14:[44, 12, 22], Operations: ['29-7=22']
Exploring Operation: 44/22=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 44/22=2
Current State: 14:[12, 2], Operations: ['29-7=22', '44/22=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
94,
83,
19,
17
] | 72 | [
"19-17=2",
"83*2=166",
"166-94=72"
] | Current State: 72:[94, 83, 19, 17], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [94, 83, 2]
Generated Node #2: [94, 83, 2] from Operation: 19-17=2
Current State: 72:[94, 83, 2], Operations: ['19-17=2']
Exploring Operation: 83*2=166, Resulting Numbers: [94, 166]
Generated Node #3: [94, 166] from Operation: 83*2=166
Current State: 72:[94, 166], Operations: ['19-17=2', '83*2=166']
Exploring Operation: 166-94=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
46,
79,
47,
88
] | 74 | [
"79-46=33",
"88-47=41",
"33+41=74"
] | Current State: 74:[46, 79, 47, 88], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [47, 88, 33]
Generated Node #2: [47, 88, 33] from Operation: 79-46=33
Current State: 74:[47, 88, 33], Operations: ['79-46=33']
Exploring Operation: 88-47=41, Resulting Numbers: [33, 41]
Generated Node #3: [33, 41] from Operation: 88-47=41
Current State: 74:[33, 41], Operations: ['79-46=33', '88-47=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
2,
81,
21,
66
] | 54 | [
"81-21=60",
"2*60=120",
"120-66=54"
] | Current State: 54:[2, 81, 21, 66], Operations: []
Exploring Operation: 81-21=60, Resulting Numbers: [2, 66, 60]
Generated Node #2: [2, 66, 60] from Operation: 81-21=60
Current State: 54:[2, 66, 60], Operations: ['81-21=60']
Exploring Operation: 2*60=120, Resulting Numbers: [66, 120]
Generated Node #3: [66, 120] from Operation: 2*60=120
Current State: 54:[66, 120], Operations: ['81-21=60', '2*60=120']
Exploring Operation: 120-66=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
53,
36,
99,
49
] | 45 | [
"53-49=4",
"36*4=144",
"144-99=45"
] | Current State: 45:[53, 36, 99, 49], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [36, 99, 4]
Generated Node #2: [36, 99, 4] from Operation: 53-49=4
Current State: 45:[36, 99, 4], Operations: ['53-49=4']
Exploring Operation: 36*4=144, Resulting Numbers: [99, 144]
Generated Node #3: [99, 144] from Operation: 36*4=144
Current State: 45:[99, 144], Operations: ['53-49=4', '36*4=144']
Exploring Operation: 144-99=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
4,
46,
35,
64
] | 13 | [
"46-4=42",
"64-35=29",
"42-29=13"
] | Current State: 13:[4, 46, 35, 64], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [35, 64, 42]
Generated Node #2: [35, 64, 42] from Operation: 46-4=42
Current State: 13:[35, 64, 42], Operations: ['46-4=42']
Exploring Operation: 64-35=29, Resulting Numbers: [42, 29]
Generated Node #3: [42, 29] from Operation: 64-35=29
Current State: 13:[42, 29], Operations: ['46-4=42', '64-35=29']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
31,
72,
83,
13
] | 65 | [
"72+83=155",
"155/31=5",
"13*5=65"
] | Current State: 65:[31, 72, 83, 13], Operations: []
Exploring Operation: 72+83=155, Resulting Numbers: [31, 13, 155]
Generated Node #2: [31, 13, 155] from Operation: 72+83=155
Current State: 65:[31, 13, 155], Operations: ['72+83=155']
Exploring Operation: 155/31=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 155/31=5
Current State: 65:[13, 5], Operations: ['72+83=155', '155/31=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
16,
29,
22
] | 18 | [
"16/8=2",
"22/2=11",
"29-11=18"
] | Current State: 18:[8, 16, 29, 22], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [29, 22, 2]
Generated Node #2: [29, 22, 2] from Operation: 16/8=2
Current State: 18:[29, 22, 2], Operations: ['16/8=2']
Exploring Operation: 22/2=11, Resulting Numbers: [29, 11]
Generated Node #3: [29, 11] from Operation: 22/2=11
Current State: 18:[29, 11], Operations: ['16/8=2', '22/2=11']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
82,
29,
12,
12
] | 87 | [
"82+29=111",
"12+12=24",
"111-24=87"
] | Current State: 87:[82, 29, 12, 12], Operations: []
Exploring Operation: 82+29=111, Resulting Numbers: [12, 12, 111]
Generated Node #2: [12, 12, 111] from Operation: 82+29=111
Current State: 87:[12, 12, 111], Operations: ['82+29=111']
Exploring Operation: 12+12=24, Resulting Numbers: [111, 24]
Generated Node #3: [111, 24] from Operation: 12+12=24
Current State: 87:[111, 24], Operations: ['82+29=111', '12+12=24']
Exploring Operation: 111-24=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
81,
61,
20,
42
] | 82 | [
"81-61=20",
"20+42=62",
"20+62=82"
] | Current State: 82:[81, 61, 20, 42], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [20, 42, 20]
Generated Node #2: [20, 42, 20] from Operation: 81-61=20
Current State: 82:[20, 42, 20], Operations: ['81-61=20']
Exploring Operation: 20+42=62, Resulting Numbers: [62]
62,82 equal: Goal Reached
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
65,
27,
19
] | 54 | [
"27-19=8",
"88/8=11",
"65-11=54"
] | Current State: 54:[88, 65, 27, 19], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [88, 65, 8]
Generated Node #2: [88, 65, 8] from Operation: 27-19=8
Current State: 54:[88, 65, 8], Operations: ['27-19=8']
Exploring Operation: 88/8=11, Resulting Numbers: [65, 11]
Generated Node #3: [65, 11] from Operation: 88/8=11
Current State: 54:[65, 11], Operations: ['27-19=8', '88/8=11']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
99,
70,
99,
11
] | 63 | [
"99*70=6930",
"99+11=110",
"6930/110=63"
] | Current State: 63:[99, 70, 99, 11], Operations: []
Exploring Operation: 99*70=6930, Resulting Numbers: [11, 6930]
Generated Node #2: [11, 6930] from Operation: 99*70=6930
Current State: 63:[11, 6930], Operations: ['99*70=6930']
Exploring Operation: 99+11=110, Resulting Numbers: [6930, 110]
Generated Node #3: [6930, 110] from Operation: 99+11=110
Current State: 63:[6930, 110], Operations: ['99*70=6930', '99+11=110']
Exploring Operation: 6930/110=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
40,
40,
72,
19
] | 92 | [
"40/40=1",
"72+19=91",
"1+91=92"
] | Current State: 92:[40, 40, 72, 19], Operations: []
Exploring Operation: 40/40=1, Resulting Numbers: [72, 19, 1]
Generated Node #2: [72, 19, 1] from Operation: 40/40=1
Current State: 92:[72, 19, 1], Operations: ['40/40=1']
Exploring Operation: 72+19=91, Resulting Numbers: [1, 91]
Generated Node #3: [1, 91] from Operation: 72+19=91
Current State: 92:[1, 91], Operations: ['40/40=1', '72+19=91']
Exploring Operation: 1+91=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
85,
54,
90,
42
] | 91 | [
"85+54=139",
"90-42=48",
"139-48=91"
] | Current State: 91:[85, 54, 90, 42], Operations: []
Exploring Operation: 85+54=139, Resulting Numbers: [90, 42, 139]
Generated Node #2: [90, 42, 139] from Operation: 85+54=139
Current State: 91:[90, 42, 139], Operations: ['85+54=139']
Exploring Operation: 90-42=48, Resulting Numbers: [139, 48]
Generated Node #3: [139, 48] from Operation: 90-42=48
Current State: 91:[139, 48], Operations: ['85+54=139', '90-42=48']
Exploring Operation: 139-48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
98,
27,
24,
37
] | 64 | [
"98+27=125",
"24+37=61",
"125-61=64"
] | Current State: 64:[98, 27, 24, 37], Operations: []
Exploring Operation: 98+27=125, Resulting Numbers: [24, 37, 125]
Generated Node #2: [24, 37, 125] from Operation: 98+27=125
Current State: 64:[24, 37, 125], Operations: ['98+27=125']
Exploring Operation: 24+37=61, Resulting Numbers: [125, 61]
Generated Node #3: [125, 61] from Operation: 24+37=61
Current State: 64:[125, 61], Operations: ['98+27=125', '24+37=61']
Exploring Operation: 125-61=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
76,
44,
4,
33
] | 83 | [
"76+44=120",
"4+33=37",
"120-37=83"
] | Current State: 83:[76, 44, 4, 33], Operations: []
Exploring Operation: 76+44=120, Resulting Numbers: [4, 33, 120]
Generated Node #2: [4, 33, 120] from Operation: 76+44=120
Current State: 83:[4, 33, 120], Operations: ['76+44=120']
Exploring Operation: 4+33=37, Resulting Numbers: [120, 37]
Generated Node #3: [120, 37] from Operation: 4+33=37
Current State: 83:[120, 37], Operations: ['76+44=120', '4+33=37']
Exploring Operation: 120-37=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
8,
53,
26,
60
] | 82 | [
"60-53=7",
"8*7=56",
"26+56=82"
] | Current State: 82:[8, 53, 26, 60], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [8, 26, 7]
Generated Node #2: [8, 26, 7] from Operation: 60-53=7
Current State: 82:[8, 26, 7], Operations: ['60-53=7']
Exploring Operation: 8*7=56, Resulting Numbers: [26, 56]
Generated Node #3: [26, 56] from Operation: 8*7=56
Current State: 82:[26, 56], Operations: ['60-53=7', '8*7=56']
Exploring Operation: 26+56=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
65,
90,
33,
56
] | 48 | [
"90-65=25",
"56-33=23",
"25+23=48"
] | Current State: 48:[65, 90, 33, 56], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [33, 56, 25]
Generated Node #2: [33, 56, 25] from Operation: 90-65=25
Current State: 48:[33, 56, 25], Operations: ['90-65=25']
Exploring Operation: 56-33=23, Resulting Numbers: [25, 23]
Generated Node #3: [25, 23] from Operation: 56-33=23
Current State: 48:[25, 23], Operations: ['90-65=25', '56-33=23']
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
55,
57,
3,
36
] | 21 | [
"57-55=2",
"36/2=18",
"3+18=21"
] | Current State: 21:[55, 57, 3, 36], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [3, 36, 2]
Generated Node #2: [3, 36, 2] from Operation: 57-55=2
Current State: 21:[3, 36, 2], Operations: ['57-55=2']
Exploring Operation: 36/2=18, Resulting Numbers: [3, 18]
Generated Node #3: [3, 18] from Operation: 36/2=18
Current State: 21:[3, 18], Operations: ['57-55=2', '36/2=18']
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
31,
91,
2,
7
] | 37 | [
"91-31=60",
"60/2=30",
"7+30=37"
] | Current State: 37:[31, 91, 2, 7], Operations: []
Exploring Operation: 91-31=60, Resulting Numbers: [2, 7, 60]
Generated Node #2: [2, 7, 60] from Operation: 91-31=60
Current State: 37:[2, 7, 60], Operations: ['91-31=60']
Exploring Operation: 60/2=30, Resulting Numbers: [7, 30]
Generated Node #3: [7, 30] from Operation: 60/2=30
Current State: 37:[7, 30], Operations: ['91-31=60', '60/2=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
69,
18,
27,
27
] | 47 | [
"69*18=1242",
"27+1242=1269",
"1269/27=47"
] | Current State: 47:[69, 18, 27, 27], Operations: []
Exploring Operation: 69*18=1242, Resulting Numbers: [27, 27, 1242]
Generated Node #2: [27, 27, 1242] from Operation: 69*18=1242
Current State: 47:[27, 27, 1242], Operations: ['69*18=1242']
Exploring Operation: 27+1242=1269, Resulting Numbers: [1269]
1269,47 equal: Goal Reached
Exploring Operation: 1269/27=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
25,
7,
53,
46
] | 50 | [
"53-25=28",
"28/7=4",
"46+4=50"
] | Current State: 50:[25, 7, 53, 46], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [7, 46, 28]
Generated Node #2: [7, 46, 28] from Operation: 53-25=28
Current State: 50:[7, 46, 28], Operations: ['53-25=28']
Exploring Operation: 28/7=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 28/7=4
Current State: 50:[46, 4], Operations: ['53-25=28', '28/7=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
79,
80,
9,
81
] | 91 | [
"80-79=1",
"9+81=90",
"1+90=91"
] | Current State: 91:[79, 80, 9, 81], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [9, 81, 1]
Generated Node #2: [9, 81, 1] from Operation: 80-79=1
Current State: 91:[9, 81, 1], Operations: ['80-79=1']
Exploring Operation: 9+81=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 9+81=90
Current State: 91:[1, 90], Operations: ['80-79=1', '9+81=90']
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
12,
25,
4,
26
] | 26 | [
"25-12=13",
"4*13=52",
"52-26=26"
] | Current State: 26:[12, 25, 4, 26], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [4, 26, 13]
Generated Node #2: [4, 26, 13] from Operation: 25-12=13
Current State: 26:[4, 26, 13], Operations: ['25-12=13']
Exploring Operation: 4*13=52, Resulting Numbers: [26, 52]
Generated Node #3: [26, 52] from Operation: 4*13=52
Current State: 26:[26, 52], Operations: ['25-12=13', '4*13=52']
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
10,
20,
72,
32
] | 70 | [
"10+20=30",
"72-32=40",
"30+40=70"
] | Current State: 70:[10, 20, 72, 32], Operations: []
Exploring Operation: 10+20=30, Resulting Numbers: [72, 32, 30]
Generated Node #2: [72, 32, 30] from Operation: 10+20=30
Current State: 70:[72, 32, 30], Operations: ['10+20=30']
Exploring Operation: 72-32=40, Resulting Numbers: [30, 40]
Generated Node #3: [30, 40] from Operation: 72-32=40
Current State: 70:[30, 40], Operations: ['10+20=30', '72-32=40']
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
7,
35,
95,
6
] | 96 | [
"35/7=5",
"95+6=101",
"101-5=96"
] | Current State: 96:[7, 35, 95, 6], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [95, 6, 5]
Generated Node #2: [95, 6, 5] from Operation: 35/7=5
Current State: 96:[95, 6, 5], Operations: ['35/7=5']
Exploring Operation: 95+6=101, Resulting Numbers: [5, 101]
Generated Node #3: [5, 101] from Operation: 95+6=101
Current State: 96:[5, 101], Operations: ['35/7=5', '95+6=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
17,
53,
20,
6
] | 62 | [
"53-17=36",
"20+6=26",
"36+26=62"
] | Current State: 62:[17, 53, 20, 6], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [20, 6, 36]
Generated Node #2: [20, 6, 36] from Operation: 53-17=36
Current State: 62:[20, 6, 36], Operations: ['53-17=36']
Exploring Operation: 20+6=26, Resulting Numbers: [36, 26]
Generated Node #3: [36, 26] from Operation: 20+6=26
Current State: 62:[36, 26], Operations: ['53-17=36', '20+6=26']
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
18,
70,
59,
31
] | 75 | [
"59+31=90",
"90/18=5",
"70+5=75"
] | Current State: 75:[18, 70, 59, 31], Operations: []
Exploring Operation: 59+31=90, Resulting Numbers: [18, 70, 90]
Generated Node #2: [18, 70, 90] from Operation: 59+31=90
Current State: 75:[18, 70, 90], Operations: ['59+31=90']
Exploring Operation: 90/18=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 90/18=5
Current State: 75:[70, 5], Operations: ['59+31=90', '90/18=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
2,
74,
47,
62
] | 91 | [
"2+74=76",
"62-47=15",
"76+15=91"
] | Current State: 91:[2, 74, 47, 62], Operations: []
Exploring Operation: 2+74=76, Resulting Numbers: [47, 62, 76]
Generated Node #2: [47, 62, 76] from Operation: 2+74=76
Current State: 91:[47, 62, 76], Operations: ['2+74=76']
Exploring Operation: 62-47=15, Resulting Numbers: [76, 15]
Generated Node #3: [76, 15] from Operation: 62-47=15
Current State: 91:[76, 15], Operations: ['2+74=76', '62-47=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
17,
59,
16,
90
] | 31 | [
"17-16=1",
"90-59=31",
"1*31=31"
] | Current State: 31:[17, 59, 16, 90], Operations: []
Exploring Operation: 17-16=1, Resulting Numbers: [59, 90, 1]
Generated Node #2: [59, 90, 1] from Operation: 17-16=1
Current State: 31:[59, 90, 1], Operations: ['17-16=1']
Exploring Operation: 90-59=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 90-59=31
Current State: 31:[1, 31], Operations: ['17-16=1', '90-59=31']
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
25,
60,
60,
16
] | 16 | [
"60-60=0",
"25*0=0",
"16+0=16"
] | Current State: 16:[25, 60, 60, 16], Operations: []
Exploring Operation: 60-60=0, Resulting Numbers: [25, 16, 0]
Generated Node #2: [25, 16, 0] from Operation: 60-60=0
Current State: 16:[25, 16, 0], Operations: ['60-60=0']
Exploring Operation: 25*0=0, Resulting Numbers: [16, 0]
Generated Node #3: [16, 0] from Operation: 25*0=0
Current State: 16:[16, 0], Operations: ['60-60=0', '25*0=0']
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
4,
6,
6,
81
] | 89 | [
"6-4=2",
"6+81=87",
"2+87=89"
] | Current State: 89:[4, 6, 6, 81], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [81, 2]
Generated Node #2: [81, 2] from Operation: 6-4=2
Current State: 89:[81, 2], Operations: ['6-4=2']
Exploring Operation: 6+81=87, Resulting Numbers: [2, 87]
Generated Node #3: [2, 87] from Operation: 6+81=87
Current State: 89:[2, 87], Operations: ['6-4=2', '6+81=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
15,
85,
50,
88
] | 95 | [
"88-85=3",
"15*3=45",
"50+45=95"
] | Current State: 95:[15, 85, 50, 88], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [15, 50, 3]
Generated Node #2: [15, 50, 3] from Operation: 88-85=3
Current State: 95:[15, 50, 3], Operations: ['88-85=3']
Exploring Operation: 15*3=45, Resulting Numbers: [50, 45]
Generated Node #3: [50, 45] from Operation: 15*3=45
Current State: 95:[50, 45], Operations: ['88-85=3', '15*3=45']
Exploring Operation: 50+45=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
85,
49,
45,
54
] | 30 | [
"85-49=36",
"45*36=1620",
"1620/54=30"
] | Current State: 30:[85, 49, 45, 54], Operations: []
Exploring Operation: 85-49=36, Resulting Numbers: [45, 54, 36]
Generated Node #2: [45, 54, 36] from Operation: 85-49=36
Current State: 30:[45, 54, 36], Operations: ['85-49=36']
Exploring Operation: 45*36=1620, Resulting Numbers: [54, 1620]
Generated Node #3: [54, 1620] from Operation: 45*36=1620
Current State: 30:[54, 1620], Operations: ['85-49=36', '45*36=1620']
Exploring Operation: 1620/54=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
36,
82,
10,
17
] | 53 | [
"82-36=46",
"17-10=7",
"46+7=53"
] | Current State: 53:[36, 82, 10, 17], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [10, 17, 46]
Generated Node #2: [10, 17, 46] from Operation: 82-36=46
Current State: 53:[10, 17, 46], Operations: ['82-36=46']
Exploring Operation: 17-10=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 17-10=7
Current State: 53:[46, 7], Operations: ['82-36=46', '17-10=7']
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
68,
2,
33,
97
] | 98 | [
"68/2=34",
"97-33=64",
"34+64=98"
] | Current State: 98:[68, 2, 33, 97], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [33, 97, 34]
Generated Node #2: [33, 97, 34] from Operation: 68/2=34
Current State: 98:[33, 97, 34], Operations: ['68/2=34']
Exploring Operation: 97-33=64, Resulting Numbers: [34, 64]
Generated Node #3: [34, 64] from Operation: 97-33=64
Current State: 98:[34, 64], Operations: ['68/2=34', '97-33=64']
Exploring Operation: 34+64=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
18,
90,
63,
88
] | 79 | [
"90-18=72",
"63+88=151",
"151-72=79"
] | Current State: 79:[18, 90, 63, 88], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [63, 88, 72]
Generated Node #2: [63, 88, 72] from Operation: 90-18=72
Current State: 79:[63, 88, 72], Operations: ['90-18=72']
Exploring Operation: 63+88=151, Resulting Numbers: [72, 151]
Generated Node #3: [72, 151] from Operation: 63+88=151
Current State: 79:[72, 151], Operations: ['90-18=72', '63+88=151']
Exploring Operation: 151-72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
50,
20,
46,
60
] | 25 | [
"20*60=1200",
"1200-50=1150",
"1150/46=25"
] | Current State: 25:[50, 20, 46, 60], Operations: []
Exploring Operation: 20*60=1200, Resulting Numbers: [50, 46, 1200]
Generated Node #2: [50, 46, 1200] from Operation: 20*60=1200
Current State: 25:[50, 46, 1200], Operations: ['20*60=1200']
Exploring Operation: 1200-50=1150, Resulting Numbers: [46, 1150]
Generated Node #3: [46, 1150] from Operation: 1200-50=1150
Current State: 25:[46, 1150], Operations: ['20*60=1200', '1200-50=1150']
Exploring Operation: 1150/46=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
99,
17,
23,
55
] | 84 | [
"99+17=116",
"55-23=32",
"116-32=84"
] | Current State: 84:[99, 17, 23, 55], Operations: []
Exploring Operation: 99+17=116, Resulting Numbers: [23, 55, 116]
Generated Node #2: [23, 55, 116] from Operation: 99+17=116
Current State: 84:[23, 55, 116], Operations: ['99+17=116']
Exploring Operation: 55-23=32, Resulting Numbers: [116, 32]
Generated Node #3: [116, 32] from Operation: 55-23=32
Current State: 84:[116, 32], Operations: ['99+17=116', '55-23=32']
Exploring Operation: 116-32=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
28,
87,
2,
63
] | 61 | [
"87-28=59",
"63+59=122",
"122/2=61"
] | Current State: 61:[28, 87, 2, 63], Operations: []
Exploring Operation: 87-28=59, Resulting Numbers: [2, 63, 59]
Generated Node #2: [2, 63, 59] from Operation: 87-28=59
Current State: 61:[2, 63, 59], Operations: ['87-28=59']
Exploring Operation: 63+59=122, Resulting Numbers: [2, 122]
Generated Node #3: [2, 122] from Operation: 63+59=122
Current State: 61:[2, 122], Operations: ['87-28=59', '63+59=122']
Exploring Operation: 122/2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
39,
14,
90,
36
] | 96 | [
"14+90=104",
"36*104=3744",
"3744/39=96"
] | Current State: 96:[39, 14, 90, 36], Operations: []
Exploring Operation: 14+90=104, Resulting Numbers: [39, 36, 104]
Generated Node #2: [39, 36, 104] from Operation: 14+90=104
Current State: 96:[39, 36, 104], Operations: ['14+90=104']
Exploring Operation: 36*104=3744, Resulting Numbers: [39, 3744]
Generated Node #3: [39, 3744] from Operation: 36*104=3744
Current State: 96:[39, 3744], Operations: ['14+90=104', '36*104=3744']
Exploring Operation: 3744/39=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
2,
89,
39,
43
] | 75 | [
"39+43=82",
"2*82=164",
"164-89=75"
] | Current State: 75:[2, 89, 39, 43], Operations: []
Exploring Operation: 39+43=82, Resulting Numbers: [2, 89, 82]
Generated Node #2: [2, 89, 82] from Operation: 39+43=82
Current State: 75:[2, 89, 82], Operations: ['39+43=82']
Exploring Operation: 2*82=164, Resulting Numbers: [89, 164]
Generated Node #3: [89, 164] from Operation: 2*82=164
Current State: 75:[89, 164], Operations: ['39+43=82', '2*82=164']
Exploring Operation: 164-89=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
92,
38,
56,
28
] | 30 | [
"92-38=54",
"56+28=84",
"84-54=30"
] | Current State: 30:[92, 38, 56, 28], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [56, 28, 54]
Generated Node #2: [56, 28, 54] from Operation: 92-38=54
Current State: 30:[56, 28, 54], Operations: ['92-38=54']
Exploring Operation: 56+28=84, Resulting Numbers: [54, 84]
Generated Node #3: [54, 84] from Operation: 56+28=84
Current State: 30:[54, 84], Operations: ['92-38=54', '56+28=84']
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
97,
98,
5,
48
] | 87 | [
"97+98=195",
"195/5=39",
"48+39=87"
] | Current State: 87:[97, 98, 5, 48], Operations: []
Exploring Operation: 97+98=195, Resulting Numbers: [5, 48, 195]
Generated Node #2: [5, 48, 195] from Operation: 97+98=195
Current State: 87:[5, 48, 195], Operations: ['97+98=195']
Exploring Operation: 195/5=39, Resulting Numbers: [48, 39]
Generated Node #3: [48, 39] from Operation: 195/5=39
Current State: 87:[48, 39], Operations: ['97+98=195', '195/5=39']
Exploring Operation: 48+39=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
40,
24,
9,
21
] | 43 | [
"24-21=3",
"9/3=3",
"40+3=43"
] | Current State: 43:[40, 24, 9, 21], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [40, 9, 3]
Generated Node #2: [40, 9, 3] from Operation: 24-21=3
Current State: 43:[40, 9, 3], Operations: ['24-21=3']
Exploring Operation: 9/3=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 9/3=3
Current State: 43:[40, 3], Operations: ['24-21=3', '9/3=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
28,
4,
5,
88
] | 69 | [
"28-4=24",
"5+88=93",
"93-24=69"
] | Current State: 69:[28, 4, 5, 88], Operations: []
Exploring Operation: 28-4=24, Resulting Numbers: [5, 88, 24]
Generated Node #2: [5, 88, 24] from Operation: 28-4=24
Current State: 69:[5, 88, 24], Operations: ['28-4=24']
Exploring Operation: 5+88=93, Resulting Numbers: [24, 93]
Generated Node #3: [24, 93] from Operation: 5+88=93
Current State: 69:[24, 93], Operations: ['28-4=24', '5+88=93']
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
60,
34,
30,
2
] | 16 | [
"60/30=2",
"34-2=32",
"32/2=16"
] | Current State: 16:[60, 34, 30, 2], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [34, 2, 2]
Generated Node #2: [34, 2, 2] from Operation: 60/30=2
Current State: 16:[34, 2, 2], Operations: ['60/30=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,16 equal: Goal Reached
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
9,
54,
56,
58
] | 43 | [
"54-9=45",
"58-56=2",
"45-2=43"
] | Current State: 43:[9, 54, 56, 58], Operations: []
Exploring Operation: 54-9=45, Resulting Numbers: [56, 58, 45]
Generated Node #2: [56, 58, 45] from Operation: 54-9=45
Current State: 43:[56, 58, 45], Operations: ['54-9=45']
Exploring Operation: 58-56=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 58-56=2
Current State: 43:[45, 2], Operations: ['54-9=45', '58-56=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
16,
20,
2,
48
] | 20 | [
"20-16=4",
"48/2=24",
"24-4=20"
] | Current State: 20:[16, 20, 2, 48], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [2, 48, 4]
Generated Node #2: [2, 48, 4] from Operation: 20-16=4
Current State: 20:[2, 48, 4], Operations: ['20-16=4']
Exploring Operation: 48/2=24, Resulting Numbers: [4, 24]
Generated Node #3: [4, 24] from Operation: 48/2=24
Current State: 20:[4, 24], Operations: ['20-16=4', '48/2=24']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
38,
10,
11,
58
] | 22 | [
"58-38=20",
"20/10=2",
"11*2=22"
] | Current State: 22:[38, 10, 11, 58], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [10, 11, 20]
Generated Node #2: [10, 11, 20] from Operation: 58-38=20
Current State: 22:[10, 11, 20], Operations: ['58-38=20']
Exploring Operation: 20/10=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 20/10=2
Current State: 22:[11, 2], Operations: ['58-38=20', '20/10=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
33,
27,
64,
17
] | 87 | [
"33-27=6",
"64+17=81",
"6+81=87"
] | Current State: 87:[33, 27, 64, 17], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [64, 17, 6]
Generated Node #2: [64, 17, 6] from Operation: 33-27=6
Current State: 87:[64, 17, 6], Operations: ['33-27=6']
Exploring Operation: 64+17=81, Resulting Numbers: [6, 81]
Generated Node #3: [6, 81] from Operation: 64+17=81
Current State: 87:[6, 81], Operations: ['33-27=6', '64+17=81']
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
61,
88,
12,
82
] | 97 | [
"88-61=27",
"82-12=70",
"27+70=97"
] | Current State: 97:[61, 88, 12, 82], Operations: []
Exploring Operation: 88-61=27, Resulting Numbers: [12, 82, 27]
Generated Node #2: [12, 82, 27] from Operation: 88-61=27
Current State: 97:[12, 82, 27], Operations: ['88-61=27']
Exploring Operation: 82-12=70, Resulting Numbers: [27, 70]
Generated Node #3: [27, 70] from Operation: 82-12=70
Current State: 97:[27, 70], Operations: ['88-61=27', '82-12=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
37,
4,
26,
1
] | 68 | [
"37+4=41",
"26+1=27",
"41+27=68"
] | Current State: 68:[37, 4, 26, 1], Operations: []
Exploring Operation: 37+4=41, Resulting Numbers: [26, 1, 41]
Generated Node #2: [26, 1, 41] from Operation: 37+4=41
Current State: 68:[26, 1, 41], Operations: ['37+4=41']
Exploring Operation: 26+1=27, Resulting Numbers: [41, 27]
Generated Node #3: [41, 27] from Operation: 26+1=27
Current State: 68:[41, 27], Operations: ['37+4=41', '26+1=27']
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
16,
32,
29,
19
] | 17 | [
"16*32=512",
"512-19=493",
"493/29=17"
] | Current State: 17:[16, 32, 29, 19], Operations: []
Exploring Operation: 16*32=512, Resulting Numbers: [29, 19, 512]
Generated Node #2: [29, 19, 512] from Operation: 16*32=512
Current State: 17:[29, 19, 512], Operations: ['16*32=512']
Exploring Operation: 512-19=493, Resulting Numbers: [29, 493]
Generated Node #3: [29, 493] from Operation: 512-19=493
Current State: 17:[29, 493], Operations: ['16*32=512', '512-19=493']
Exploring Operation: 493/29=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
39,
7,
45,
68
] | 55 | [
"39-7=32",
"68-45=23",
"32+23=55"
] | Current State: 55:[39, 7, 45, 68], Operations: []
Exploring Operation: 39-7=32, Resulting Numbers: [45, 68, 32]
Generated Node #2: [45, 68, 32] from Operation: 39-7=32
Current State: 55:[45, 68, 32], Operations: ['39-7=32']
Exploring Operation: 68-45=23, Resulting Numbers: [32, 23]
Generated Node #3: [32, 23] from Operation: 68-45=23
Current State: 55:[32, 23], Operations: ['39-7=32', '68-45=23']
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
36,
67,
5
] | 23 | [
"54-36=18",
"5*18=90",
"90-67=23"
] | Current State: 23:[54, 36, 67, 5], Operations: []
Exploring Operation: 54-36=18, Resulting Numbers: [67, 5, 18]
Generated Node #2: [67, 5, 18] from Operation: 54-36=18
Current State: 23:[67, 5, 18], Operations: ['54-36=18']
Exploring Operation: 5*18=90, Resulting Numbers: [67, 90]
Generated Node #3: [67, 90] from Operation: 5*18=90
Current State: 23:[67, 90], Operations: ['54-36=18', '5*18=90']
Exploring Operation: 90-67=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
32,
13,
49,
12
] | 35 | [
"49-13=36",
"36/12=3",
"32+3=35"
] | Current State: 35:[32, 13, 49, 12], Operations: []
Exploring Operation: 49-13=36, Resulting Numbers: [32, 12, 36]
Generated Node #2: [32, 12, 36] from Operation: 49-13=36
Current State: 35:[32, 12, 36], Operations: ['49-13=36']
Exploring Operation: 36/12=3, Resulting Numbers: [32, 3]
Generated Node #3: [32, 3] from Operation: 36/12=3
Current State: 35:[32, 3], Operations: ['49-13=36', '36/12=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
13,
75,
68,
88
] | 67 | [
"13+75=88",
"88/88=1",
"68-1=67"
] | Current State: 67:[13, 75, 68, 88], Operations: []
Exploring Operation: 13+75=88, Resulting Numbers: [68, 88, 88]
Generated Node #2: [68, 88, 88] from Operation: 13+75=88
Current State: 67:[68, 88, 88], Operations: ['13+75=88']
Exploring Operation: 88/88=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 88/88=1
Current State: 67:[68, 1], Operations: ['13+75=88', '88/88=1']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
27,
64,
32,
33
] | 91 | [
"27+64=91",
"33-32=1",
"91*1=91"
] | Current State: 91:[27, 64, 32, 33], Operations: []
Exploring Operation: 27+64=91, Resulting Numbers: [32, 33, 91]
Generated Node #2: [32, 33, 91] from Operation: 27+64=91
Current State: 91:[32, 33, 91], Operations: ['27+64=91']
Exploring Operation: 33-32=1, Resulting Numbers: [91, 1]
Generated Node #3: [91, 1] from Operation: 33-32=1
Current State: 91:[91, 1], Operations: ['27+64=91', '33-32=1']
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
72,
62,
80,
73
] | 69 | [
"80-62=18",
"72/18=4",
"73-4=69"
] | Current State: 69:[72, 62, 80, 73], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [72, 73, 18]
Generated Node #2: [72, 73, 18] from Operation: 80-62=18
Current State: 69:[72, 73, 18], Operations: ['80-62=18']
Exploring Operation: 72/18=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 72/18=4
Current State: 69:[73, 4], Operations: ['80-62=18', '72/18=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
69,
83,
21,
10
] | 45 | [
"83-69=14",
"21+10=31",
"14+31=45"
] | Current State: 45:[69, 83, 21, 10], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [21, 10, 14]
Generated Node #2: [21, 10, 14] from Operation: 83-69=14
Current State: 45:[21, 10, 14], Operations: ['83-69=14']
Exploring Operation: 21+10=31, Resulting Numbers: [14, 31]
Generated Node #3: [14, 31] from Operation: 21+10=31
Current State: 45:[14, 31], Operations: ['83-69=14', '21+10=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
21,
48,
28,
44
] | 53 | [
"21+48=69",
"44-28=16",
"69-16=53"
] | Current State: 53:[21, 48, 28, 44], Operations: []
Exploring Operation: 21+48=69, Resulting Numbers: [28, 44, 69]
Generated Node #2: [28, 44, 69] from Operation: 21+48=69
Current State: 53:[28, 44, 69], Operations: ['21+48=69']
Exploring Operation: 44-28=16, Resulting Numbers: [69, 16]
Generated Node #3: [69, 16] from Operation: 44-28=16
Current State: 53:[69, 16], Operations: ['21+48=69', '44-28=16']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
98,
2,
38,
16
] | 19 | [
"98+16=114",
"114/2=57",
"57-38=19"
] | Current State: 19:[98, 2, 38, 16], Operations: []
Exploring Operation: 98+16=114, Resulting Numbers: [2, 38, 114]
Generated Node #2: [2, 38, 114] from Operation: 98+16=114
Current State: 19:[2, 38, 114], Operations: ['98+16=114']
Exploring Operation: 114/2=57, Resulting Numbers: [38, 57]
Generated Node #3: [38, 57] from Operation: 114/2=57
Current State: 19:[38, 57], Operations: ['98+16=114', '114/2=57']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
15,
56,
13,
96
] | 11 | [
"56+13=69",
"96+69=165",
"165/15=11"
] | Current State: 11:[15, 56, 13, 96], Operations: []
Exploring Operation: 56+13=69, Resulting Numbers: [15, 96, 69]
Generated Node #2: [15, 96, 69] from Operation: 56+13=69
Current State: 11:[15, 96, 69], Operations: ['56+13=69']
Exploring Operation: 96+69=165, Resulting Numbers: [15, 165]
Generated Node #3: [15, 165] from Operation: 96+69=165
Current State: 11:[15, 165], Operations: ['56+13=69', '96+69=165']
Exploring Operation: 165/15=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
71,
74,
68,
14
] | 79 | [
"74-71=3",
"68+14=82",
"82-3=79"
] | Current State: 79:[71, 74, 68, 14], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [68, 14, 3]
Generated Node #2: [68, 14, 3] from Operation: 74-71=3
Current State: 79:[68, 14, 3], Operations: ['74-71=3']
Exploring Operation: 68+14=82, Resulting Numbers: [3, 82]
Generated Node #3: [3, 82] from Operation: 68+14=82
Current State: 79:[3, 82], Operations: ['74-71=3', '68+14=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
46,
5,
30,
10
] | 26 | [
"46*5=230",
"30+230=260",
"260/10=26"
] | Current State: 26:[46, 5, 30, 10], Operations: []
Exploring Operation: 46*5=230, Resulting Numbers: [30, 10, 230]
Generated Node #2: [30, 10, 230] from Operation: 46*5=230
Current State: 26:[30, 10, 230], Operations: ['46*5=230']
Exploring Operation: 30+230=260, Resulting Numbers: [10, 260]
Generated Node #3: [10, 260] from Operation: 30+230=260
Current State: 26:[10, 260], Operations: ['46*5=230', '30+230=260']
Exploring Operation: 260/10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
81,
33,
59,
34
] | 51 | [
"81-59=22",
"33*34=1122",
"1122/22=51"
] | Current State: 51:[81, 33, 59, 34], Operations: []
Exploring Operation: 81-59=22, Resulting Numbers: [33, 34, 22]
Generated Node #2: [33, 34, 22] from Operation: 81-59=22
Current State: 51:[33, 34, 22], Operations: ['81-59=22']
Exploring Operation: 33*34=1122, Resulting Numbers: [22, 1122]
Generated Node #3: [22, 1122] from Operation: 33*34=1122
Current State: 51:[22, 1122], Operations: ['81-59=22', '33*34=1122']
Exploring Operation: 1122/22=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
7,
17,
28
] | 68 | [
"28/7=4",
"8-4=4",
"17*4=68"
] | Current State: 68:[8, 7, 17, 28], Operations: []
Exploring Operation: 28/7=4, Resulting Numbers: [8, 17, 4]
Generated Node #2: [8, 17, 4] from Operation: 28/7=4
Current State: 68:[8, 17, 4], Operations: ['28/7=4']
Exploring Operation: 8-4=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 8-4=4
Current State: 68:[17, 4], Operations: ['28/7=4', '8-4=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
97,
72,
22,
79
] | 64 | [
"97+79=176",
"176/22=8",
"72-8=64"
] | Current State: 64:[97, 72, 22, 79], Operations: []
Exploring Operation: 97+79=176, Resulting Numbers: [72, 22, 176]
Generated Node #2: [72, 22, 176] from Operation: 97+79=176
Current State: 64:[72, 22, 176], Operations: ['97+79=176']
Exploring Operation: 176/22=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 176/22=8
Current State: 64:[72, 8], Operations: ['97+79=176', '176/22=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
14,
70,
55,
57
] | 55 | [
"70-14=56",
"57-56=1",
"55*1=55"
] | Current State: 55:[14, 70, 55, 57], Operations: []
Exploring Operation: 70-14=56, Resulting Numbers: [55, 57, 56]
Generated Node #2: [55, 57, 56] from Operation: 70-14=56
Current State: 55:[55, 57, 56], Operations: ['70-14=56']
Exploring Operation: 57-56=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 57-56=1
Current State: 55:[55, 1], Operations: ['70-14=56', '57-56=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
67,
75,
14,
24
] | 46 | [
"75-67=8",
"14+24=38",
"8+38=46"
] | Current State: 46:[67, 75, 14, 24], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [14, 24, 8]
Generated Node #2: [14, 24, 8] from Operation: 75-67=8
Current State: 46:[14, 24, 8], Operations: ['75-67=8']
Exploring Operation: 14+24=38, Resulting Numbers: [8, 38]
Generated Node #3: [8, 38] from Operation: 14+24=38
Current State: 46:[8, 38], Operations: ['75-67=8', '14+24=38']
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
10,
72,
68,
84
] | 78 | [
"72-10=62",
"84-68=16",
"62+16=78"
] | Current State: 78:[10, 72, 68, 84], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [68, 84, 62]
Generated Node #2: [68, 84, 62] from Operation: 72-10=62
Current State: 78:[68, 84, 62], Operations: ['72-10=62']
Exploring Operation: 84-68=16, Resulting Numbers: [62, 16]
Generated Node #3: [62, 16] from Operation: 84-68=16
Current State: 78:[62, 16], Operations: ['72-10=62', '84-68=16']
Exploring Operation: 62+16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
89,
5,
65,
22
] | 80 | [
"89-22=67",
"65/5=13",
"67+13=80"
] | Current State: 80:[89, 5, 65, 22], Operations: []
Exploring Operation: 89-22=67, Resulting Numbers: [5, 65, 67]
Generated Node #2: [5, 65, 67] from Operation: 89-22=67
Current State: 80:[5, 65, 67], Operations: ['89-22=67']
Exploring Operation: 65/5=13, Resulting Numbers: [67, 13]
Generated Node #3: [67, 13] from Operation: 65/5=13
Current State: 80:[67, 13], Operations: ['89-22=67', '65/5=13']
Exploring Operation: 67+13=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
85,
10,
62,
65
] | 47 | [
"85+65=150",
"150/10=15",
"62-15=47"
] | Current State: 47:[85, 10, 62, 65], Operations: []
Exploring Operation: 85+65=150, Resulting Numbers: [10, 62, 150]
Generated Node #2: [10, 62, 150] from Operation: 85+65=150
Current State: 47:[10, 62, 150], Operations: ['85+65=150']
Exploring Operation: 150/10=15, Resulting Numbers: [62, 15]
Generated Node #3: [62, 15] from Operation: 150/10=15
Current State: 47:[62, 15], Operations: ['85+65=150', '150/10=15']
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
24,
93,
99
] | 86 | [
"56+24=80",
"99-93=6",
"80+6=86"
] | Current State: 86:[56, 24, 93, 99], Operations: []
Exploring Operation: 56+24=80, Resulting Numbers: [93, 99, 80]
Generated Node #2: [93, 99, 80] from Operation: 56+24=80
Current State: 86:[93, 99, 80], Operations: ['56+24=80']
Exploring Operation: 99-93=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 99-93=6
Current State: 86:[80, 6], Operations: ['56+24=80', '99-93=6']
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
14,
13,
2,
14
] | 25 | [
"14/14=1",
"13*2=26",
"26-1=25"
] | Current State: 25:[14, 13, 2, 14], Operations: []
Exploring Operation: 14/14=1, Resulting Numbers: [13, 2, 1]
Generated Node #2: [13, 2, 1] from Operation: 14/14=1
Current State: 25:[13, 2, 1], Operations: ['14/14=1']
Exploring Operation: 13*2=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 13*2=26
Current State: 25:[1, 26], Operations: ['14/14=1', '13*2=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
29,
54,
67,
76
] | 60 | [
"29+54=83",
"67+76=143",
"143-83=60"
] | Current State: 60:[29, 54, 67, 76], Operations: []
Exploring Operation: 29+54=83, Resulting Numbers: [67, 76, 83]
Generated Node #2: [67, 76, 83] from Operation: 29+54=83
Current State: 60:[67, 76, 83], Operations: ['29+54=83']
Exploring Operation: 67+76=143, Resulting Numbers: [83, 143]
Generated Node #3: [83, 143] from Operation: 67+76=143
Current State: 60:[83, 143], Operations: ['29+54=83', '67+76=143']
Exploring Operation: 143-83=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
87,
25,
73,
10
] | 29 | [
"87+25=112",
"73+10=83",
"112-83=29"
] | Current State: 29:[87, 25, 73, 10], Operations: []
Exploring Operation: 87+25=112, Resulting Numbers: [73, 10, 112]
Generated Node #2: [73, 10, 112] from Operation: 87+25=112
Current State: 29:[73, 10, 112], Operations: ['87+25=112']
Exploring Operation: 73+10=83, Resulting Numbers: [112, 83]
Generated Node #3: [112, 83] from Operation: 73+10=83
Current State: 29:[112, 83], Operations: ['87+25=112', '73+10=83']
Exploring Operation: 112-83=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
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