nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
81,
5,
74,
83
] | 64 | [
"83-81=2",
"5*2=10",
"74-10=64"
] | Current State: 64:[81, 5, 74, 83], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [5, 74, 2]
Generated Node #2: [5, 74, 2] from Operation: 83-81=2
Current State: 64:[5, 74, 2], Operations: ['83-81=2']
Exploring Operation: 5*2=10, Resulting Numbers: [74, 10]
Generated Node #3: [74, 10] from Operation: 5*2=10
Current State: 64:[74, 10], Operations: ['83-81=2', '5*2=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
4,
38,
3,
40
] | 94 | [
"4+40=44",
"3*44=132",
"132-38=94"
] | Current State: 94:[4, 38, 3, 40], Operations: []
Exploring Operation: 4+40=44, Resulting Numbers: [38, 3, 44]
Generated Node #2: [38, 3, 44] from Operation: 4+40=44
Current State: 94:[38, 3, 44], Operations: ['4+40=44']
Exploring Operation: 3*44=132, Resulting Numbers: [38, 132]
Generated Node #3: [38, 132] from Operation: 3*44=132
Current State: 94:[38, 132], Operations: ['4+40=44', '3*44=132']
Exploring Operation: 132-38=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
29,
40,
25,
99
] | 34 | [
"40-29=11",
"99/11=9",
"25+9=34"
] | Current State: 34:[29, 40, 25, 99], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [25, 99, 11]
Generated Node #2: [25, 99, 11] from Operation: 40-29=11
Current State: 34:[25, 99, 11], Operations: ['40-29=11']
Exploring Operation: 99/11=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 99/11=9
Current State: 34:[25, 9], Operations: ['40-29=11', '99/11=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
86,
77,
27,
60
] | 63 | [
"86-77=9",
"27/9=3",
"60+3=63"
] | Current State: 63:[86, 77, 27, 60], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [27, 60, 9]
Generated Node #2: [27, 60, 9] from Operation: 86-77=9
Current State: 63:[27, 60, 9], Operations: ['86-77=9']
Exploring Operation: 27/9=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 27/9=3
Current State: 63:[60, 3], Operations: ['86-77=9', '27/9=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
29,
37,
74,
40
] | 15 | [
"74-29=45",
"40-37=3",
"45/3=15"
] | Current State: 15:[29, 37, 74, 40], Operations: []
Exploring Operation: 74-29=45, Resulting Numbers: [37, 40, 45]
Generated Node #2: [37, 40, 45] from Operation: 74-29=45
Current State: 15:[37, 40, 45], Operations: ['74-29=45']
Exploring Operation: 40-37=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 40-37=3
Current State: 15:[45, 3], Operations: ['74-29=45', '40-37=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
20,
8,
3,
1
] | 35 | [
"20-8=12",
"3*12=36",
"36-1=35"
] | Current State: 35:[20, 8, 3, 1], Operations: []
Exploring Operation: 20-8=12, Resulting Numbers: [3, 1, 12]
Generated Node #2: [3, 1, 12] from Operation: 20-8=12
Current State: 35:[3, 1, 12], Operations: ['20-8=12']
Exploring Operation: 3*12=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 3*12=36
Current State: 35:[1, 36], Operations: ['20-8=12', '3*12=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
72,
71,
60,
84
] | 73 | [
"60+84=144",
"144/72=2",
"71+2=73"
] | Current State: 73:[72, 71, 60, 84], Operations: []
Exploring Operation: 60+84=144, Resulting Numbers: [72, 71, 144]
Generated Node #2: [72, 71, 144] from Operation: 60+84=144
Current State: 73:[72, 71, 144], Operations: ['60+84=144']
Exploring Operation: 144/72=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 144/72=2
Current State: 73:[71, 2], Operations: ['60+84=144', '144/72=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
41,
38,
42
] | 17 | [
"42/3=14",
"41-38=3",
"14+3=17"
] | Current State: 17:[3, 41, 38, 42], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [41, 38, 14]
Generated Node #2: [41, 38, 14] from Operation: 42/3=14
Current State: 17:[41, 38, 14], Operations: ['42/3=14']
Exploring Operation: 41-38=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 41-38=3
Current State: 17:[14, 3], Operations: ['42/3=14', '41-38=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
12,
15,
23,
49
] | 99 | [
"12+15=27",
"23+49=72",
"27+72=99"
] | Current State: 99:[12, 15, 23, 49], Operations: []
Exploring Operation: 12+15=27, Resulting Numbers: [23, 49, 27]
Generated Node #2: [23, 49, 27] from Operation: 12+15=27
Current State: 99:[23, 49, 27], Operations: ['12+15=27']
Exploring Operation: 23+49=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 23+49=72
Current State: 99:[27, 72], Operations: ['12+15=27', '23+49=72']
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
84,
14,
76,
76
] | 54 | [
"84+14=98",
"76+76=152",
"152-98=54"
] | Current State: 54:[84, 14, 76, 76], Operations: []
Exploring Operation: 84+14=98, Resulting Numbers: [76, 76, 98]
Generated Node #2: [76, 76, 98] from Operation: 84+14=98
Current State: 54:[76, 76, 98], Operations: ['84+14=98']
Exploring Operation: 76+76=152, Resulting Numbers: [98, 152]
Generated Node #3: [98, 152] from Operation: 76+76=152
Current State: 54:[98, 152], Operations: ['84+14=98', '76+76=152']
Exploring Operation: 152-98=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
9,
49,
29,
96
] | 98 | [
"9+49=58",
"58/29=2",
"96+2=98"
] | Current State: 98:[9, 49, 29, 96], Operations: []
Exploring Operation: 9+49=58, Resulting Numbers: [29, 96, 58]
Generated Node #2: [29, 96, 58] from Operation: 9+49=58
Current State: 98:[29, 96, 58], Operations: ['9+49=58']
Exploring Operation: 58/29=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 58/29=2
Current State: 98:[96, 2], Operations: ['9+49=58', '58/29=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
75,
38,
45,
31
] | 88 | [
"75*45=3375",
"3375-31=3344",
"3344/38=88"
] | Current State: 88:[75, 38, 45, 31], Operations: []
Exploring Operation: 75*45=3375, Resulting Numbers: [38, 31, 3375]
Generated Node #2: [38, 31, 3375] from Operation: 75*45=3375
Current State: 88:[38, 31, 3375], Operations: ['75*45=3375']
Exploring Operation: 3375-31=3344, Resulting Numbers: [38, 3344]
Generated Node #3: [38, 3344] from Operation: 3375-31=3344
Current State: 88:[38, 3344], Operations: ['75*45=3375', '3375-31=3344']
Exploring Operation: 3344/38=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
1,
26,
34,
19
] | 26 | [
"1+26=27",
"34+19=53",
"53-27=26"
] | Current State: 26:[1, 26, 34, 19], Operations: []
Exploring Operation: 1+26=27, Resulting Numbers: [34, 19, 27]
Generated Node #2: [34, 19, 27] from Operation: 1+26=27
Current State: 26:[34, 19, 27], Operations: ['1+26=27']
Exploring Operation: 34+19=53, Resulting Numbers: [27, 53]
Generated Node #3: [27, 53] from Operation: 34+19=53
Current State: 26:[27, 53], Operations: ['1+26=27', '34+19=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
93,
4,
52,
78
] | 86 | [
"93-52=41",
"4*41=164",
"164-78=86"
] | Current State: 86:[93, 4, 52, 78], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [4, 78, 41]
Generated Node #2: [4, 78, 41] from Operation: 93-52=41
Current State: 86:[4, 78, 41], Operations: ['93-52=41']
Exploring Operation: 4*41=164, Resulting Numbers: [78, 164]
Generated Node #3: [78, 164] from Operation: 4*41=164
Current State: 86:[78, 164], Operations: ['93-52=41', '4*41=164']
Exploring Operation: 164-78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
97,
17,
78,
81
] | 77 | [
"97-17=80",
"81-78=3",
"80-3=77"
] | Current State: 77:[97, 17, 78, 81], Operations: []
Exploring Operation: 97-17=80, Resulting Numbers: [78, 81, 80]
Generated Node #2: [78, 81, 80] from Operation: 97-17=80
Current State: 77:[78, 81, 80], Operations: ['97-17=80']
Exploring Operation: 81-78=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 81-78=3
Current State: 77:[80, 3], Operations: ['97-17=80', '81-78=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
44,
36,
43,
24
] | 61 | [
"44+36=80",
"43-24=19",
"80-19=61"
] | Current State: 61:[44, 36, 43, 24], Operations: []
Exploring Operation: 44+36=80, Resulting Numbers: [43, 24, 80]
Generated Node #2: [43, 24, 80] from Operation: 44+36=80
Current State: 61:[43, 24, 80], Operations: ['44+36=80']
Exploring Operation: 43-24=19, Resulting Numbers: [80, 19]
Generated Node #3: [80, 19] from Operation: 43-24=19
Current State: 61:[80, 19], Operations: ['44+36=80', '43-24=19']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
34,
35,
15,
5
] | 42 | [
"34+15=49",
"35/5=7",
"49-7=42"
] | Current State: 42:[34, 35, 15, 5], Operations: []
Exploring Operation: 34+15=49, Resulting Numbers: [35, 5, 49]
Generated Node #2: [35, 5, 49] from Operation: 34+15=49
Current State: 42:[35, 5, 49], Operations: ['34+15=49']
Exploring Operation: 35/5=7, Resulting Numbers: [49, 7]
Generated Node #3: [49, 7] from Operation: 35/5=7
Current State: 42:[49, 7], Operations: ['34+15=49', '35/5=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
63,
72,
11,
74
] | 94 | [
"72-63=9",
"11+74=85",
"9+85=94"
] | Current State: 94:[63, 72, 11, 74], Operations: []
Exploring Operation: 72-63=9, Resulting Numbers: [11, 74, 9]
Generated Node #2: [11, 74, 9] from Operation: 72-63=9
Current State: 94:[11, 74, 9], Operations: ['72-63=9']
Exploring Operation: 11+74=85, Resulting Numbers: [9, 85]
Generated Node #3: [9, 85] from Operation: 11+74=85
Current State: 94:[9, 85], Operations: ['72-63=9', '11+74=85']
Exploring Operation: 9+85=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
16,
19,
8,
35
] | 46 | [
"19-16=3",
"8+35=43",
"3+43=46"
] | Current State: 46:[16, 19, 8, 35], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [8, 35, 3]
Generated Node #2: [8, 35, 3] from Operation: 19-16=3
Current State: 46:[8, 35, 3], Operations: ['19-16=3']
Exploring Operation: 8+35=43, Resulting Numbers: [3, 43]
Generated Node #3: [3, 43] from Operation: 8+35=43
Current State: 46:[3, 43], Operations: ['19-16=3', '8+35=43']
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
97,
82,
53,
33
] | 93 | [
"97+82=179",
"53+33=86",
"179-86=93"
] | Current State: 93:[97, 82, 53, 33], Operations: []
Exploring Operation: 97+82=179, Resulting Numbers: [53, 33, 179]
Generated Node #2: [53, 33, 179] from Operation: 97+82=179
Current State: 93:[53, 33, 179], Operations: ['97+82=179']
Exploring Operation: 53+33=86, Resulting Numbers: [179, 86]
Generated Node #3: [179, 86] from Operation: 53+33=86
Current State: 93:[179, 86], Operations: ['97+82=179', '53+33=86']
Exploring Operation: 179-86=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
93,
73,
91,
71
] | 69 | [
"93-91=2",
"71*2=142",
"142-73=69"
] | Current State: 69:[93, 73, 91, 71], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [73, 71, 2]
Generated Node #2: [73, 71, 2] from Operation: 93-91=2
Current State: 69:[73, 71, 2], Operations: ['93-91=2']
Exploring Operation: 71*2=142, Resulting Numbers: [73, 142]
Generated Node #3: [73, 142] from Operation: 71*2=142
Current State: 69:[73, 142], Operations: ['93-91=2', '71*2=142']
Exploring Operation: 142-73=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
29,
8,
92,
23
] | 25 | [
"29-8=21",
"92/23=4",
"21+4=25"
] | Current State: 25:[29, 8, 92, 23], Operations: []
Exploring Operation: 29-8=21, Resulting Numbers: [92, 23, 21]
Generated Node #2: [92, 23, 21] from Operation: 29-8=21
Current State: 25:[92, 23, 21], Operations: ['29-8=21']
Exploring Operation: 92/23=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 92/23=4
Current State: 25:[21, 4], Operations: ['29-8=21', '92/23=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
27,
3,
42,
95
] | 56 | [
"27*3=81",
"42+95=137",
"137-81=56"
] | Current State: 56:[27, 3, 42, 95], Operations: []
Exploring Operation: 27*3=81, Resulting Numbers: [42, 95, 81]
Generated Node #2: [42, 95, 81] from Operation: 27*3=81
Current State: 56:[42, 95, 81], Operations: ['27*3=81']
Exploring Operation: 42+95=137, Resulting Numbers: [81, 137]
Generated Node #3: [81, 137] from Operation: 42+95=137
Current State: 56:[81, 137], Operations: ['27*3=81', '42+95=137']
Exploring Operation: 137-81=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
18,
25,
94,
29
] | 72 | [
"25-18=7",
"94-29=65",
"7+65=72"
] | Current State: 72:[18, 25, 94, 29], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [94, 29, 7]
Generated Node #2: [94, 29, 7] from Operation: 25-18=7
Current State: 72:[94, 29, 7], Operations: ['25-18=7']
Exploring Operation: 94-29=65, Resulting Numbers: [7, 65]
Generated Node #3: [7, 65] from Operation: 94-29=65
Current State: 72:[7, 65], Operations: ['25-18=7', '94-29=65']
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
34,
49,
20,
75
] | 100 | [
"49-34=15",
"20*75=1500",
"1500/15=100"
] | Current State: 100:[34, 49, 20, 75], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [20, 75, 15]
Generated Node #2: [20, 75, 15] from Operation: 49-34=15
Current State: 100:[20, 75, 15], Operations: ['49-34=15']
Exploring Operation: 20*75=1500, Resulting Numbers: [15, 1500]
Generated Node #3: [15, 1500] from Operation: 20*75=1500
Current State: 100:[15, 1500], Operations: ['49-34=15', '20*75=1500']
Exploring Operation: 1500/15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
95,
75,
12,
27
] | 19 | [
"95-75=20",
"12+27=39",
"39-20=19"
] | Current State: 19:[95, 75, 12, 27], Operations: []
Exploring Operation: 95-75=20, Resulting Numbers: [12, 27, 20]
Generated Node #2: [12, 27, 20] from Operation: 95-75=20
Current State: 19:[12, 27, 20], Operations: ['95-75=20']
Exploring Operation: 12+27=39, Resulting Numbers: [20, 39]
Generated Node #3: [20, 39] from Operation: 12+27=39
Current State: 19:[20, 39], Operations: ['95-75=20', '12+27=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
4,
2,
6,
17
] | 12 | [
"4+6=10",
"10/2=5",
"17-5=12"
] | Current State: 12:[4, 2, 6, 17], Operations: []
Exploring Operation: 4+6=10, Resulting Numbers: [2, 17, 10]
Generated Node #2: [2, 17, 10] from Operation: 4+6=10
Current State: 12:[2, 17, 10], Operations: ['4+6=10']
Exploring Operation: 10/2=5, Resulting Numbers: [17, 5]
Generated Node #3: [17, 5] from Operation: 10/2=5
Current State: 12:[17, 5], Operations: ['4+6=10', '10/2=5']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
73,
48,
98,
36
] | 38 | [
"48+98=146",
"146/73=2",
"36+2=38"
] | Current State: 38:[73, 48, 98, 36], Operations: []
Exploring Operation: 48+98=146, Resulting Numbers: [73, 36, 146]
Generated Node #2: [73, 36, 146] from Operation: 48+98=146
Current State: 38:[73, 36, 146], Operations: ['48+98=146']
Exploring Operation: 146/73=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 146/73=2
Current State: 38:[36, 2], Operations: ['48+98=146', '146/73=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
56,
93,
63,
8
] | 94 | [
"56+93=149",
"63-8=55",
"149-55=94"
] | Current State: 94:[56, 93, 63, 8], Operations: []
Exploring Operation: 56+93=149, Resulting Numbers: [63, 8, 149]
Generated Node #2: [63, 8, 149] from Operation: 56+93=149
Current State: 94:[63, 8, 149], Operations: ['56+93=149']
Exploring Operation: 63-8=55, Resulting Numbers: [149, 55]
Generated Node #3: [149, 55] from Operation: 63-8=55
Current State: 94:[149, 55], Operations: ['56+93=149', '63-8=55']
Exploring Operation: 149-55=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
15,
30,
28,
21
] | 98 | [
"30/15=2",
"28+21=49",
"2*49=98"
] | Current State: 98:[15, 30, 28, 21], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [28, 21, 2]
Generated Node #2: [28, 21, 2] from Operation: 30/15=2
Current State: 98:[28, 21, 2], Operations: ['30/15=2']
Exploring Operation: 28+21=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 28+21=49
Current State: 98:[2, 49], Operations: ['30/15=2', '28+21=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
67,
51,
2,
81
] | 99 | [
"67-51=16",
"2+81=83",
"16+83=99"
] | Current State: 99:[67, 51, 2, 81], Operations: []
Exploring Operation: 67-51=16, Resulting Numbers: [2, 81, 16]
Generated Node #2: [2, 81, 16] from Operation: 67-51=16
Current State: 99:[2, 81, 16], Operations: ['67-51=16']
Exploring Operation: 2+81=83, Resulting Numbers: [16, 83]
Generated Node #3: [16, 83] from Operation: 2+81=83
Current State: 99:[16, 83], Operations: ['67-51=16', '2+81=83']
Exploring Operation: 16+83=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
24,
14,
12,
73
] | 45 | [
"24*14=336",
"336/12=28",
"73-28=45"
] | Current State: 45:[24, 14, 12, 73], Operations: []
Exploring Operation: 24*14=336, Resulting Numbers: [12, 73, 336]
Generated Node #2: [12, 73, 336] from Operation: 24*14=336
Current State: 45:[12, 73, 336], Operations: ['24*14=336']
Exploring Operation: 336/12=28, Resulting Numbers: [73, 28]
Generated Node #3: [73, 28] from Operation: 336/12=28
Current State: 45:[73, 28], Operations: ['24*14=336', '336/12=28']
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
54,
84,
2
] | 47 | [
"14-2=12",
"84/12=7",
"54-7=47"
] | Current State: 47:[14, 54, 84, 2], Operations: []
Exploring Operation: 14-2=12, Resulting Numbers: [54, 84, 12]
Generated Node #2: [54, 84, 12] from Operation: 14-2=12
Current State: 47:[54, 84, 12], Operations: ['14-2=12']
Exploring Operation: 84/12=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 84/12=7
Current State: 47:[54, 7], Operations: ['14-2=12', '84/12=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
49,
96,
53,
25
] | 67 | [
"49+96=145",
"53+25=78",
"145-78=67"
] | Current State: 67:[49, 96, 53, 25], Operations: []
Exploring Operation: 49+96=145, Resulting Numbers: [53, 25, 145]
Generated Node #2: [53, 25, 145] from Operation: 49+96=145
Current State: 67:[53, 25, 145], Operations: ['49+96=145']
Exploring Operation: 53+25=78, Resulting Numbers: [145, 78]
Generated Node #3: [145, 78] from Operation: 53+25=78
Current State: 67:[145, 78], Operations: ['49+96=145', '53+25=78']
Exploring Operation: 145-78=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
14,
9,
63,
23
] | 63 | [
"14+9=23",
"63+23=86",
"86-23=63"
] | Current State: 63:[14, 9, 63, 23], Operations: []
Exploring Operation: 14+9=23, Resulting Numbers: [63, 23, 23]
Generated Node #2: [63, 23, 23] from Operation: 14+9=23
Current State: 63:[63, 23, 23], Operations: ['14+9=23']
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,63 equal: Goal Reached
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
20,
95,
98,
49
] | 23 | [
"20+49=69",
"98-95=3",
"69/3=23"
] | Current State: 23:[20, 95, 98, 49], Operations: []
Exploring Operation: 20+49=69, Resulting Numbers: [95, 98, 69]
Generated Node #2: [95, 98, 69] from Operation: 20+49=69
Current State: 23:[95, 98, 69], Operations: ['20+49=69']
Exploring Operation: 98-95=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 98-95=3
Current State: 23:[69, 3], Operations: ['20+49=69', '98-95=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
24,
20,
3,
2
] | 19 | [
"24+20=44",
"44/2=22",
"22-3=19"
] | Current State: 19:[24, 20, 3, 2], Operations: []
Exploring Operation: 24+20=44, Resulting Numbers: [3, 2, 44]
Generated Node #2: [3, 2, 44] from Operation: 24+20=44
Current State: 19:[3, 2, 44], Operations: ['24+20=44']
Exploring Operation: 44/2=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 44/2=22
Current State: 19:[3, 22], Operations: ['24+20=44', '44/2=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
62,
10,
80,
40
] | 48 | [
"62+10=72",
"80+40=120",
"120-72=48"
] | Current State: 48:[62, 10, 80, 40], Operations: []
Exploring Operation: 62+10=72, Resulting Numbers: [80, 40, 72]
Generated Node #2: [80, 40, 72] from Operation: 62+10=72
Current State: 48:[80, 40, 72], Operations: ['62+10=72']
Exploring Operation: 80+40=120, Resulting Numbers: [72, 120]
Generated Node #3: [72, 120] from Operation: 80+40=120
Current State: 48:[72, 120], Operations: ['62+10=72', '80+40=120']
Exploring Operation: 120-72=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
3,
80,
25,
76
] | 88 | [
"25-3=22",
"80-76=4",
"22*4=88"
] | Current State: 88:[3, 80, 25, 76], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [80, 76, 22]
Generated Node #2: [80, 76, 22] from Operation: 25-3=22
Current State: 88:[80, 76, 22], Operations: ['25-3=22']
Exploring Operation: 80-76=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 80-76=4
Current State: 88:[22, 4], Operations: ['25-3=22', '80-76=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
82,
90,
16,
5
] | 56 | [
"90-82=8",
"5*8=40",
"16+40=56"
] | Current State: 56:[82, 90, 16, 5], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [16, 5, 8]
Generated Node #2: [16, 5, 8] from Operation: 90-82=8
Current State: 56:[16, 5, 8], Operations: ['90-82=8']
Exploring Operation: 5*8=40, Resulting Numbers: [16, 40]
Generated Node #3: [16, 40] from Operation: 5*8=40
Current State: 56:[16, 40], Operations: ['90-82=8', '5*8=40']
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
91,
75,
28,
37
] | 81 | [
"91-75=16",
"28+37=65",
"16+65=81"
] | Current State: 81:[91, 75, 28, 37], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [28, 37, 16]
Generated Node #2: [28, 37, 16] from Operation: 91-75=16
Current State: 81:[28, 37, 16], Operations: ['91-75=16']
Exploring Operation: 28+37=65, Resulting Numbers: [16, 65]
Generated Node #3: [16, 65] from Operation: 28+37=65
Current State: 81:[16, 65], Operations: ['91-75=16', '28+37=65']
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
72,
2,
16,
64
] | 26 | [
"72+2=74",
"64-16=48",
"74-48=26"
] | Current State: 26:[72, 2, 16, 64], Operations: []
Exploring Operation: 72+2=74, Resulting Numbers: [16, 64, 74]
Generated Node #2: [16, 64, 74] from Operation: 72+2=74
Current State: 26:[16, 64, 74], Operations: ['72+2=74']
Exploring Operation: 64-16=48, Resulting Numbers: [74, 48]
Generated Node #3: [74, 48] from Operation: 64-16=48
Current State: 26:[74, 48], Operations: ['72+2=74', '64-16=48']
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
9,
77,
62,
40
] | 75 | [
"40-9=31",
"62/31=2",
"77-2=75"
] | Current State: 75:[9, 77, 62, 40], Operations: []
Exploring Operation: 40-9=31, Resulting Numbers: [77, 62, 31]
Generated Node #2: [77, 62, 31] from Operation: 40-9=31
Current State: 75:[77, 62, 31], Operations: ['40-9=31']
Exploring Operation: 62/31=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 62/31=2
Current State: 75:[77, 2], Operations: ['40-9=31', '62/31=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
69,
1,
92,
37
] | 15 | [
"69+1=70",
"92-37=55",
"70-55=15"
] | Current State: 15:[69, 1, 92, 37], Operations: []
Exploring Operation: 69+1=70, Resulting Numbers: [92, 37, 70]
Generated Node #2: [92, 37, 70] from Operation: 69+1=70
Current State: 15:[92, 37, 70], Operations: ['69+1=70']
Exploring Operation: 92-37=55, Resulting Numbers: [70, 55]
Generated Node #3: [70, 55] from Operation: 92-37=55
Current State: 15:[70, 55], Operations: ['69+1=70', '92-37=55']
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
42,
80,
33,
36
] | 41 | [
"80-42=38",
"36-33=3",
"38+3=41"
] | Current State: 41:[42, 80, 33, 36], Operations: []
Exploring Operation: 80-42=38, Resulting Numbers: [33, 36, 38]
Generated Node #2: [33, 36, 38] from Operation: 80-42=38
Current State: 41:[33, 36, 38], Operations: ['80-42=38']
Exploring Operation: 36-33=3, Resulting Numbers: [38, 3]
Generated Node #3: [38, 3] from Operation: 36-33=3
Current State: 41:[38, 3], Operations: ['80-42=38', '36-33=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
23,
25,
93
] | 98 | [
"53-23=30",
"93-25=68",
"30+68=98"
] | Current State: 98:[53, 23, 25, 93], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [25, 93, 30]
Generated Node #2: [25, 93, 30] from Operation: 53-23=30
Current State: 98:[25, 93, 30], Operations: ['53-23=30']
Exploring Operation: 93-25=68, Resulting Numbers: [30, 68]
Generated Node #3: [30, 68] from Operation: 93-25=68
Current State: 98:[30, 68], Operations: ['53-23=30', '93-25=68']
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
13,
11,
8,
40
] | 50 | [
"13-11=2",
"8+40=48",
"2+48=50"
] | Current State: 50:[13, 11, 8, 40], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [8, 40, 2]
Generated Node #2: [8, 40, 2] from Operation: 13-11=2
Current State: 50:[8, 40, 2], Operations: ['13-11=2']
Exploring Operation: 8+40=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 8+40=48
Current State: 50:[2, 48], Operations: ['13-11=2', '8+40=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
17,
48,
62,
61
] | 64 | [
"17+48=65",
"62-61=1",
"65-1=64"
] | Current State: 64:[17, 48, 62, 61], Operations: []
Exploring Operation: 17+48=65, Resulting Numbers: [62, 61, 65]
Generated Node #2: [62, 61, 65] from Operation: 17+48=65
Current State: 64:[62, 61, 65], Operations: ['17+48=65']
Exploring Operation: 62-61=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 62-61=1
Current State: 64:[65, 1], Operations: ['17+48=65', '62-61=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
83,
6,
34,
20
] | 74 | [
"34+20=54",
"54/6=9",
"83-9=74"
] | Current State: 74:[83, 6, 34, 20], Operations: []
Exploring Operation: 34+20=54, Resulting Numbers: [83, 6, 54]
Generated Node #2: [83, 6, 54] from Operation: 34+20=54
Current State: 74:[83, 6, 54], Operations: ['34+20=54']
Exploring Operation: 54/6=9, Resulting Numbers: [83, 9]
Generated Node #3: [83, 9] from Operation: 54/6=9
Current State: 74:[83, 9], Operations: ['34+20=54', '54/6=9']
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
68,
98,
3,
81
] | 91 | [
"98-68=30",
"30/3=10",
"81+10=91"
] | Current State: 91:[68, 98, 3, 81], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [3, 81, 30]
Generated Node #2: [3, 81, 30] from Operation: 98-68=30
Current State: 91:[3, 81, 30], Operations: ['98-68=30']
Exploring Operation: 30/3=10, Resulting Numbers: [81, 10]
Generated Node #3: [81, 10] from Operation: 30/3=10
Current State: 91:[81, 10], Operations: ['98-68=30', '30/3=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
22,
71,
26,
35
] | 40 | [
"71-22=49",
"35-26=9",
"49-9=40"
] | Current State: 40:[22, 71, 26, 35], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [26, 35, 49]
Generated Node #2: [26, 35, 49] from Operation: 71-22=49
Current State: 40:[26, 35, 49], Operations: ['71-22=49']
Exploring Operation: 35-26=9, Resulting Numbers: [49, 9]
Generated Node #3: [49, 9] from Operation: 35-26=9
Current State: 40:[49, 9], Operations: ['71-22=49', '35-26=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
86,
54,
79,
97
] | 14 | [
"86-54=32",
"97-79=18",
"32-18=14"
] | Current State: 14:[86, 54, 79, 97], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [79, 97, 32]
Generated Node #2: [79, 97, 32] from Operation: 86-54=32
Current State: 14:[79, 97, 32], Operations: ['86-54=32']
Exploring Operation: 97-79=18, Resulting Numbers: [32, 18]
Generated Node #3: [32, 18] from Operation: 97-79=18
Current State: 14:[32, 18], Operations: ['86-54=32', '97-79=18']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
37,
2,
34,
10
] | 36 | [
"37-34=3",
"2+10=12",
"3*12=36"
] | Current State: 36:[37, 2, 34, 10], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [2, 10, 3]
Generated Node #2: [2, 10, 3] from Operation: 37-34=3
Current State: 36:[2, 10, 3], Operations: ['37-34=3']
Exploring Operation: 2+10=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 2+10=12
Current State: 36:[3, 12], Operations: ['37-34=3', '2+10=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
54,
52,
84,
63
] | 21 | [
"54-52=2",
"84/2=42",
"63-42=21"
] | Current State: 21:[54, 52, 84, 63], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [84, 63, 2]
Generated Node #2: [84, 63, 2] from Operation: 54-52=2
Current State: 21:[84, 63, 2], Operations: ['54-52=2']
Exploring Operation: 84/2=42, Resulting Numbers: [63, 42]
Generated Node #3: [63, 42] from Operation: 84/2=42
Current State: 21:[63, 42], Operations: ['54-52=2', '84/2=42']
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
6,
8,
66,
33
] | 46 | [
"6*8=48",
"66/33=2",
"48-2=46"
] | Current State: 46:[6, 8, 66, 33], Operations: []
Exploring Operation: 6*8=48, Resulting Numbers: [66, 33, 48]
Generated Node #2: [66, 33, 48] from Operation: 6*8=48
Current State: 46:[66, 33, 48], Operations: ['6*8=48']
Exploring Operation: 66/33=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 66/33=2
Current State: 46:[48, 2], Operations: ['6*8=48', '66/33=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
22,
98,
39,
85
] | 19 | [
"98-85=13",
"39/13=3",
"22-3=19"
] | Current State: 19:[22, 98, 39, 85], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [22, 39, 13]
Generated Node #2: [22, 39, 13] from Operation: 98-85=13
Current State: 19:[22, 39, 13], Operations: ['98-85=13']
Exploring Operation: 39/13=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 39/13=3
Current State: 19:[22, 3], Operations: ['98-85=13', '39/13=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
12,
92,
65,
10
] | 37 | [
"12*10=120",
"92+65=157",
"157-120=37"
] | Current State: 37:[12, 92, 65, 10], Operations: []
Exploring Operation: 12*10=120, Resulting Numbers: [92, 65, 120]
Generated Node #2: [92, 65, 120] from Operation: 12*10=120
Current State: 37:[92, 65, 120], Operations: ['12*10=120']
Exploring Operation: 92+65=157, Resulting Numbers: [120, 157]
Generated Node #3: [120, 157] from Operation: 92+65=157
Current State: 37:[120, 157], Operations: ['12*10=120', '92+65=157']
Exploring Operation: 157-120=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
60,
2,
44,
23
] | 99 | [
"60*2=120",
"44-23=21",
"120-21=99"
] | Current State: 99:[60, 2, 44, 23], Operations: []
Exploring Operation: 60*2=120, Resulting Numbers: [44, 23, 120]
Generated Node #2: [44, 23, 120] from Operation: 60*2=120
Current State: 99:[44, 23, 120], Operations: ['60*2=120']
Exploring Operation: 44-23=21, Resulting Numbers: [120, 21]
Generated Node #3: [120, 21] from Operation: 44-23=21
Current State: 99:[120, 21], Operations: ['60*2=120', '44-23=21']
Exploring Operation: 120-21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
39,
74,
17,
37
] | 95 | [
"39*74=2886",
"2886/37=78",
"17+78=95"
] | Current State: 95:[39, 74, 17, 37], Operations: []
Exploring Operation: 39*74=2886, Resulting Numbers: [17, 37, 2886]
Generated Node #2: [17, 37, 2886] from Operation: 39*74=2886
Current State: 95:[17, 37, 2886], Operations: ['39*74=2886']
Exploring Operation: 2886/37=78, Resulting Numbers: [17, 78]
Generated Node #3: [17, 78] from Operation: 2886/37=78
Current State: 95:[17, 78], Operations: ['39*74=2886', '2886/37=78']
Exploring Operation: 17+78=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
44,
13,
3,
67
] | 39 | [
"44-13=31",
"3+67=70",
"70-31=39"
] | Current State: 39:[44, 13, 3, 67], Operations: []
Exploring Operation: 44-13=31, Resulting Numbers: [3, 67, 31]
Generated Node #2: [3, 67, 31] from Operation: 44-13=31
Current State: 39:[3, 67, 31], Operations: ['44-13=31']
Exploring Operation: 3+67=70, Resulting Numbers: [31, 70]
Generated Node #3: [31, 70] from Operation: 3+67=70
Current State: 39:[31, 70], Operations: ['44-13=31', '3+67=70']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
54,
2,
86,
69
] | 91 | [
"54*2=108",
"86-69=17",
"108-17=91"
] | Current State: 91:[54, 2, 86, 69], Operations: []
Exploring Operation: 54*2=108, Resulting Numbers: [86, 69, 108]
Generated Node #2: [86, 69, 108] from Operation: 54*2=108
Current State: 91:[86, 69, 108], Operations: ['54*2=108']
Exploring Operation: 86-69=17, Resulting Numbers: [108, 17]
Generated Node #3: [108, 17] from Operation: 86-69=17
Current State: 91:[108, 17], Operations: ['54*2=108', '86-69=17']
Exploring Operation: 108-17=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
82,
57,
55
] | 48 | [
"82-36=46",
"57-55=2",
"46+2=48"
] | Current State: 48:[36, 82, 57, 55], Operations: []
Exploring Operation: 82-36=46, Resulting Numbers: [57, 55, 46]
Generated Node #2: [57, 55, 46] from Operation: 82-36=46
Current State: 48:[57, 55, 46], Operations: ['82-36=46']
Exploring Operation: 57-55=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 57-55=2
Current State: 48:[46, 2], Operations: ['82-36=46', '57-55=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
56,
74,
92,
83
] | 58 | [
"74+92=166",
"166/83=2",
"56+2=58"
] | Current State: 58:[56, 74, 92, 83], Operations: []
Exploring Operation: 74+92=166, Resulting Numbers: [56, 83, 166]
Generated Node #2: [56, 83, 166] from Operation: 74+92=166
Current State: 58:[56, 83, 166], Operations: ['74+92=166']
Exploring Operation: 166/83=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 166/83=2
Current State: 58:[56, 2], Operations: ['74+92=166', '166/83=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
21,
42,
42,
60
] | 49 | [
"21*42=882",
"60-42=18",
"882/18=49"
] | Current State: 49:[21, 42, 42, 60], Operations: []
Exploring Operation: 21*42=882, Resulting Numbers: [60, 882]
Generated Node #2: [60, 882] from Operation: 21*42=882
Current State: 49:[60, 882], Operations: ['21*42=882']
Exploring Operation: 60-42=18, Resulting Numbers: [882, 18]
Generated Node #3: [882, 18] from Operation: 60-42=18
Current State: 49:[882, 18], Operations: ['21*42=882', '60-42=18']
Exploring Operation: 882/18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
13,
65,
4,
13
] | 85 | [
"65/13=5",
"4+13=17",
"5*17=85"
] | Current State: 85:[13, 65, 4, 13], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [4, 5]
Generated Node #2: [4, 5] from Operation: 65/13=5
Current State: 85:[4, 5], Operations: ['65/13=5']
Exploring Operation: 4+13=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 4+13=17
Current State: 85:[5, 17], Operations: ['65/13=5', '4+13=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
30,
12,
88
] | 24 | [
"3*30=90",
"90-88=2",
"12*2=24"
] | Current State: 24:[3, 30, 12, 88], Operations: []
Exploring Operation: 3*30=90, Resulting Numbers: [12, 88, 90]
Generated Node #2: [12, 88, 90] from Operation: 3*30=90
Current State: 24:[12, 88, 90], Operations: ['3*30=90']
Exploring Operation: 90-88=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 90-88=2
Current State: 24:[12, 2], Operations: ['3*30=90', '90-88=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
53,
49,
95,
74
] | 67 | [
"53+49=102",
"95+74=169",
"169-102=67"
] | Current State: 67:[53, 49, 95, 74], Operations: []
Exploring Operation: 53+49=102, Resulting Numbers: [95, 74, 102]
Generated Node #2: [95, 74, 102] from Operation: 53+49=102
Current State: 67:[95, 74, 102], Operations: ['53+49=102']
Exploring Operation: 95+74=169, Resulting Numbers: [102, 169]
Generated Node #3: [102, 169] from Operation: 95+74=169
Current State: 67:[102, 169], Operations: ['53+49=102', '95+74=169']
Exploring Operation: 169-102=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
10,
48,
32,
3
] | 96 | [
"10*3=30",
"32-30=2",
"48*2=96"
] | Current State: 96:[10, 48, 32, 3], Operations: []
Exploring Operation: 10*3=30, Resulting Numbers: [48, 32, 30]
Generated Node #2: [48, 32, 30] from Operation: 10*3=30
Current State: 96:[48, 32, 30], Operations: ['10*3=30']
Exploring Operation: 32-30=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 32-30=2
Current State: 96:[48, 2], Operations: ['10*3=30', '32-30=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
80,
66,
5,
67
] | 75 | [
"80-5=75",
"67-66=1",
"75*1=75"
] | Current State: 75:[80, 66, 5, 67], Operations: []
Exploring Operation: 80-5=75, Resulting Numbers: [66, 67, 75]
Generated Node #2: [66, 67, 75] from Operation: 80-5=75
Current State: 75:[66, 67, 75], Operations: ['80-5=75']
Exploring Operation: 67-66=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 67-66=1
Current State: 75:[75, 1], Operations: ['80-5=75', '67-66=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
83,
4,
88,
76
] | 86 | [
"88-76=12",
"12/4=3",
"83+3=86"
] | Current State: 86:[83, 4, 88, 76], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [83, 4, 12]
Generated Node #2: [83, 4, 12] from Operation: 88-76=12
Current State: 86:[83, 4, 12], Operations: ['88-76=12']
Exploring Operation: 12/4=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 12/4=3
Current State: 86:[83, 3], Operations: ['88-76=12', '12/4=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
7,
76,
51,
45
] | 77 | [
"7+76=83",
"51-45=6",
"83-6=77"
] | Current State: 77:[7, 76, 51, 45], Operations: []
Exploring Operation: 7+76=83, Resulting Numbers: [51, 45, 83]
Generated Node #2: [51, 45, 83] from Operation: 7+76=83
Current State: 77:[51, 45, 83], Operations: ['7+76=83']
Exploring Operation: 51-45=6, Resulting Numbers: [83, 6]
Generated Node #3: [83, 6] from Operation: 51-45=6
Current State: 77:[83, 6], Operations: ['7+76=83', '51-45=6']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
28,
53,
80,
41
] | 42 | [
"28+53=81",
"80-41=39",
"81-39=42"
] | Current State: 42:[28, 53, 80, 41], Operations: []
Exploring Operation: 28+53=81, Resulting Numbers: [80, 41, 81]
Generated Node #2: [80, 41, 81] from Operation: 28+53=81
Current State: 42:[80, 41, 81], Operations: ['28+53=81']
Exploring Operation: 80-41=39, Resulting Numbers: [81, 39]
Generated Node #3: [81, 39] from Operation: 80-41=39
Current State: 42:[81, 39], Operations: ['28+53=81', '80-41=39']
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
44,
11,
15,
15
] | 44 | [
"15-15=0",
"11*0=0",
"44+0=44"
] | Current State: 44:[44, 11, 15, 15], Operations: []
Exploring Operation: 15-15=0, Resulting Numbers: [44, 11, 0]
Generated Node #2: [44, 11, 0] from Operation: 15-15=0
Current State: 44:[44, 11, 0], Operations: ['15-15=0']
Exploring Operation: 11*0=0, Resulting Numbers: [44, 0]
Generated Node #3: [44, 0] from Operation: 11*0=0
Current State: 44:[44, 0], Operations: ['15-15=0', '11*0=0']
Exploring Operation: 44+0=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
82,
41,
17,
26
] | 18 | [
"82/41=2",
"26-17=9",
"2*9=18"
] | Current State: 18:[82, 41, 17, 26], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [17, 26, 2]
Generated Node #2: [17, 26, 2] from Operation: 82/41=2
Current State: 18:[17, 26, 2], Operations: ['82/41=2']
Exploring Operation: 26-17=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 26-17=9
Current State: 18:[2, 9], Operations: ['82/41=2', '26-17=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
24,
46,
17,
42
] | 95 | [
"24+46=70",
"42-17=25",
"70+25=95"
] | Current State: 95:[24, 46, 17, 42], Operations: []
Exploring Operation: 24+46=70, Resulting Numbers: [17, 42, 70]
Generated Node #2: [17, 42, 70] from Operation: 24+46=70
Current State: 95:[17, 42, 70], Operations: ['24+46=70']
Exploring Operation: 42-17=25, Resulting Numbers: [70, 25]
Generated Node #3: [70, 25] from Operation: 42-17=25
Current State: 95:[70, 25], Operations: ['24+46=70', '42-17=25']
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
72,
4,
26,
54
] | 98 | [
"72/4=18",
"26+54=80",
"18+80=98"
] | Current State: 98:[72, 4, 26, 54], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [26, 54, 18]
Generated Node #2: [26, 54, 18] from Operation: 72/4=18
Current State: 98:[26, 54, 18], Operations: ['72/4=18']
Exploring Operation: 26+54=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 26+54=80
Current State: 98:[18, 80], Operations: ['72/4=18', '26+54=80']
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
60,
71,
32,
3
] | 33 | [
"60+71=131",
"131-32=99",
"99/3=33"
] | Current State: 33:[60, 71, 32, 3], Operations: []
Exploring Operation: 60+71=131, Resulting Numbers: [32, 3, 131]
Generated Node #2: [32, 3, 131] from Operation: 60+71=131
Current State: 33:[32, 3, 131], Operations: ['60+71=131']
Exploring Operation: 131-32=99, Resulting Numbers: [3, 99]
Generated Node #3: [3, 99] from Operation: 131-32=99
Current State: 33:[3, 99], Operations: ['60+71=131', '131-32=99']
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
82,
55,
39,
18
] | 80 | [
"82+55=137",
"39+18=57",
"137-57=80"
] | Current State: 80:[82, 55, 39, 18], Operations: []
Exploring Operation: 82+55=137, Resulting Numbers: [39, 18, 137]
Generated Node #2: [39, 18, 137] from Operation: 82+55=137
Current State: 80:[39, 18, 137], Operations: ['82+55=137']
Exploring Operation: 39+18=57, Resulting Numbers: [137, 57]
Generated Node #3: [137, 57] from Operation: 39+18=57
Current State: 80:[137, 57], Operations: ['82+55=137', '39+18=57']
Exploring Operation: 137-57=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
60,
89,
71
] | 56 | [
"71-60=11",
"3*11=33",
"89-33=56"
] | Current State: 56:[3, 60, 89, 71], Operations: []
Exploring Operation: 71-60=11, Resulting Numbers: [3, 89, 11]
Generated Node #2: [3, 89, 11] from Operation: 71-60=11
Current State: 56:[3, 89, 11], Operations: ['71-60=11']
Exploring Operation: 3*11=33, Resulting Numbers: [89, 33]
Generated Node #3: [89, 33] from Operation: 3*11=33
Current State: 56:[89, 33], Operations: ['71-60=11', '3*11=33']
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
28,
78,
74,
49
] | 73 | [
"78-28=50",
"74+49=123",
"123-50=73"
] | Current State: 73:[28, 78, 74, 49], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [74, 49, 50]
Generated Node #2: [74, 49, 50] from Operation: 78-28=50
Current State: 73:[74, 49, 50], Operations: ['78-28=50']
Exploring Operation: 74+49=123, Resulting Numbers: [50, 123]
Generated Node #3: [50, 123] from Operation: 74+49=123
Current State: 73:[50, 123], Operations: ['78-28=50', '74+49=123']
Exploring Operation: 123-50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
32,
46,
56,
29
] | 41 | [
"46-32=14",
"56-29=27",
"14+27=41"
] | Current State: 41:[32, 46, 56, 29], Operations: []
Exploring Operation: 46-32=14, Resulting Numbers: [56, 29, 14]
Generated Node #2: [56, 29, 14] from Operation: 46-32=14
Current State: 41:[56, 29, 14], Operations: ['46-32=14']
Exploring Operation: 56-29=27, Resulting Numbers: [14, 27]
Generated Node #3: [14, 27] from Operation: 56-29=27
Current State: 41:[14, 27], Operations: ['46-32=14', '56-29=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
26,
54,
22,
28
] | 58 | [
"26-22=4",
"28*4=112",
"112-54=58"
] | Current State: 58:[26, 54, 22, 28], Operations: []
Exploring Operation: 26-22=4, Resulting Numbers: [54, 28, 4]
Generated Node #2: [54, 28, 4] from Operation: 26-22=4
Current State: 58:[54, 28, 4], Operations: ['26-22=4']
Exploring Operation: 28*4=112, Resulting Numbers: [54, 112]
Generated Node #3: [54, 112] from Operation: 28*4=112
Current State: 58:[54, 112], Operations: ['26-22=4', '28*4=112']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
64,
58,
7,
34
] | 76 | [
"64-58=6",
"7*6=42",
"34+42=76"
] | Current State: 76:[64, 58, 7, 34], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [7, 34, 6]
Generated Node #2: [7, 34, 6] from Operation: 64-58=6
Current State: 76:[7, 34, 6], Operations: ['64-58=6']
Exploring Operation: 7*6=42, Resulting Numbers: [34, 42]
Generated Node #3: [34, 42] from Operation: 7*6=42
Current State: 76:[34, 42], Operations: ['64-58=6', '7*6=42']
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
29,
96,
69,
2
] | 25 | [
"96-69=27",
"2*27=54",
"54-29=25"
] | Current State: 25:[29, 96, 69, 2], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [29, 2, 27]
Generated Node #2: [29, 2, 27] from Operation: 96-69=27
Current State: 25:[29, 2, 27], Operations: ['96-69=27']
Exploring Operation: 2*27=54, Resulting Numbers: [29, 54]
Generated Node #3: [29, 54] from Operation: 2*27=54
Current State: 25:[29, 54], Operations: ['96-69=27', '2*27=54']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
59,
92,
76,
19
] | 29 | [
"92-59=33",
"76/19=4",
"33-4=29"
] | Current State: 29:[59, 92, 76, 19], Operations: []
Exploring Operation: 92-59=33, Resulting Numbers: [76, 19, 33]
Generated Node #2: [76, 19, 33] from Operation: 92-59=33
Current State: 29:[76, 19, 33], Operations: ['92-59=33']
Exploring Operation: 76/19=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 76/19=4
Current State: 29:[33, 4], Operations: ['92-59=33', '76/19=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
57,
87,
7,
34
] | 11 | [
"87-57=30",
"7+34=41",
"41-30=11"
] | Current State: 11:[57, 87, 7, 34], Operations: []
Exploring Operation: 87-57=30, Resulting Numbers: [7, 34, 30]
Generated Node #2: [7, 34, 30] from Operation: 87-57=30
Current State: 11:[7, 34, 30], Operations: ['87-57=30']
Exploring Operation: 7+34=41, Resulting Numbers: [30, 41]
Generated Node #3: [30, 41] from Operation: 7+34=41
Current State: 11:[30, 41], Operations: ['87-57=30', '7+34=41']
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
33,
38,
17,
27
] | 45 | [
"38+17=55",
"27*55=1485",
"1485/33=45"
] | Current State: 45:[33, 38, 17, 27], Operations: []
Exploring Operation: 38+17=55, Resulting Numbers: [33, 27, 55]
Generated Node #2: [33, 27, 55] from Operation: 38+17=55
Current State: 45:[33, 27, 55], Operations: ['38+17=55']
Exploring Operation: 27*55=1485, Resulting Numbers: [33, 1485]
Generated Node #3: [33, 1485] from Operation: 27*55=1485
Current State: 45:[33, 1485], Operations: ['38+17=55', '27*55=1485']
Exploring Operation: 1485/33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
79,
5,
59,
87
] | 56 | [
"79+5=84",
"87-59=28",
"84-28=56"
] | Current State: 56:[79, 5, 59, 87], Operations: []
Exploring Operation: 79+5=84, Resulting Numbers: [59, 87, 84]
Generated Node #2: [59, 87, 84] from Operation: 79+5=84
Current State: 56:[59, 87, 84], Operations: ['79+5=84']
Exploring Operation: 87-59=28, Resulting Numbers: [84, 28]
Generated Node #3: [84, 28] from Operation: 87-59=28
Current State: 56:[84, 28], Operations: ['79+5=84', '87-59=28']
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
16,
79,
76,
80
] | 59 | [
"79-16=63",
"80-76=4",
"63-4=59"
] | Current State: 59:[16, 79, 76, 80], Operations: []
Exploring Operation: 79-16=63, Resulting Numbers: [76, 80, 63]
Generated Node #2: [76, 80, 63] from Operation: 79-16=63
Current State: 59:[76, 80, 63], Operations: ['79-16=63']
Exploring Operation: 80-76=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 80-76=4
Current State: 59:[63, 4], Operations: ['79-16=63', '80-76=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
1,
27,
20,
6
] | 52 | [
"27-1=26",
"20+6=26",
"26+26=52"
] | Current State: 52:[1, 27, 20, 6], Operations: []
Exploring Operation: 27-1=26, Resulting Numbers: [20, 6, 26]
Generated Node #2: [20, 6, 26] from Operation: 27-1=26
Current State: 52:[20, 6, 26], Operations: ['27-1=26']
Exploring Operation: 20+6=26, Resulting Numbers: [26, 26]
Generated Node #3: [26, 26] from Operation: 20+6=26
Current State: 52:[26, 26], Operations: ['27-1=26', '20+6=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
66,
12,
10,
44
] | 68 | [
"12+10=22",
"44/22=2",
"66+2=68"
] | Current State: 68:[66, 12, 10, 44], Operations: []
Exploring Operation: 12+10=22, Resulting Numbers: [66, 44, 22]
Generated Node #2: [66, 44, 22] from Operation: 12+10=22
Current State: 68:[66, 44, 22], Operations: ['12+10=22']
Exploring Operation: 44/22=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 44/22=2
Current State: 68:[66, 2], Operations: ['12+10=22', '44/22=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
52,
5,
1,
27
] | 84 | [
"52+5=57",
"1*27=27",
"57+27=84"
] | Current State: 84:[52, 5, 1, 27], Operations: []
Exploring Operation: 52+5=57, Resulting Numbers: [1, 27, 57]
Generated Node #2: [1, 27, 57] from Operation: 52+5=57
Current State: 84:[1, 27, 57], Operations: ['52+5=57']
Exploring Operation: 1*27=27, Resulting Numbers: [57, 27]
Generated Node #3: [57, 27] from Operation: 1*27=27
Current State: 84:[57, 27], Operations: ['52+5=57', '1*27=27']
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
90,
23,
2,
31
] | 38 | [
"90-23=67",
"31-2=29",
"67-29=38"
] | Current State: 38:[90, 23, 2, 31], Operations: []
Exploring Operation: 90-23=67, Resulting Numbers: [2, 31, 67]
Generated Node #2: [2, 31, 67] from Operation: 90-23=67
Current State: 38:[2, 31, 67], Operations: ['90-23=67']
Exploring Operation: 31-2=29, Resulting Numbers: [67, 29]
Generated Node #3: [67, 29] from Operation: 31-2=29
Current State: 38:[67, 29], Operations: ['90-23=67', '31-2=29']
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
24,
59,
43,
59
] | 66 | [
"24+43=67",
"59/59=1",
"67-1=66"
] | Current State: 66:[24, 59, 43, 59], Operations: []
Exploring Operation: 24+43=67, Resulting Numbers: [59, 59, 67]
Generated Node #2: [59, 59, 67] from Operation: 24+43=67
Current State: 66:[59, 59, 67], Operations: ['24+43=67']
Exploring Operation: 59/59=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 59/59=1
Current State: 66:[67, 1], Operations: ['24+43=67', '59/59=1']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
36,
61,
58,
10
] | 98 | [
"61*58=3538",
"3538-10=3528",
"3528/36=98"
] | Current State: 98:[36, 61, 58, 10], Operations: []
Exploring Operation: 61*58=3538, Resulting Numbers: [36, 10, 3538]
Generated Node #2: [36, 10, 3538] from Operation: 61*58=3538
Current State: 98:[36, 10, 3538], Operations: ['61*58=3538']
Exploring Operation: 3538-10=3528, Resulting Numbers: [36, 3528]
Generated Node #3: [36, 3528] from Operation: 3538-10=3528
Current State: 98:[36, 3528], Operations: ['61*58=3538', '3538-10=3528']
Exploring Operation: 3528/36=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
15,
62,
30,
58
] | 90 | [
"62-58=4",
"15*4=60",
"30+60=90"
] | Current State: 90:[15, 62, 30, 58], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [15, 30, 4]
Generated Node #2: [15, 30, 4] from Operation: 62-58=4
Current State: 90:[15, 30, 4], Operations: ['62-58=4']
Exploring Operation: 15*4=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 15*4=60
Current State: 90:[30, 60], Operations: ['62-58=4', '15*4=60']
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
52,
13,
73,
17
] | 52 | [
"52/13=4",
"73-17=56",
"56-4=52"
] | Current State: 52:[52, 13, 73, 17], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [73, 17, 4]
Generated Node #2: [73, 17, 4] from Operation: 52/13=4
Current State: 52:[73, 17, 4], Operations: ['52/13=4']
Exploring Operation: 73-17=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 73-17=56
Current State: 52:[4, 56], Operations: ['52/13=4', '73-17=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
39,
10,
24,
12
] | 65 | [
"39-10=29",
"24+12=36",
"29+36=65"
] | Current State: 65:[39, 10, 24, 12], Operations: []
Exploring Operation: 39-10=29, Resulting Numbers: [24, 12, 29]
Generated Node #2: [24, 12, 29] from Operation: 39-10=29
Current State: 65:[24, 12, 29], Operations: ['39-10=29']
Exploring Operation: 24+12=36, Resulting Numbers: [29, 36]
Generated Node #3: [29, 36] from Operation: 24+12=36
Current State: 65:[29, 36], Operations: ['39-10=29', '24+12=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
28,
47,
30,
60
] | 77 | [
"28+47=75",
"60/30=2",
"75+2=77"
] | Current State: 77:[28, 47, 30, 60], Operations: []
Exploring Operation: 28+47=75, Resulting Numbers: [30, 60, 75]
Generated Node #2: [30, 60, 75] from Operation: 28+47=75
Current State: 77:[30, 60, 75], Operations: ['28+47=75']
Exploring Operation: 60/30=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 60/30=2
Current State: 77:[75, 2], Operations: ['28+47=75', '60/30=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
23,
38,
29,
11
] | 25 | [
"38-23=15",
"29+11=40",
"40-15=25"
] | Current State: 25:[23, 38, 29, 11], Operations: []
Exploring Operation: 38-23=15, Resulting Numbers: [29, 11, 15]
Generated Node #2: [29, 11, 15] from Operation: 38-23=15
Current State: 25:[29, 11, 15], Operations: ['38-23=15']
Exploring Operation: 29+11=40, Resulting Numbers: [15, 40]
Generated Node #3: [15, 40] from Operation: 29+11=40
Current State: 25:[15, 40], Operations: ['38-23=15', '29+11=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
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