nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
39,
2,
9,
76
] | 83 | [
"76-39=37",
"2*37=74",
"9+74=83"
] | Current State: 83:[39, 2, 9, 76], Operations: []
Exploring Operation: 76-39=37, Resulting Numbers: [2, 9, 37]
Generated Node #2: [2, 9, 37] from Operation: 76-39=37
Current State: 83:[2, 9, 37], Operations: ['76-39=37']
Exploring Operation: 2*37=74, Resulting Numbers: [9, 74]
Generated Node #3: [9, 74] from Operation: 2*37=74
Current State: 83:[9, 74], Operations: ['76-39=37', '2*37=74']
Exploring Operation: 9+74=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
90,
60,
8,
61
] | 98 | [
"90+8=98",
"61-60=1",
"98*1=98"
] | Current State: 98:[90, 60, 8, 61], Operations: []
Exploring Operation: 90+8=98, Resulting Numbers: [60, 61, 98]
Generated Node #2: [60, 61, 98] from Operation: 90+8=98
Current State: 98:[60, 61, 98], Operations: ['90+8=98']
Exploring Operation: 61-60=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 61-60=1
Current State: 98:[98, 1], Operations: ['90+8=98', '61-60=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
28,
20,
37,
13
] | 98 | [
"28+20=48",
"37+13=50",
"48+50=98"
] | Current State: 98:[28, 20, 37, 13], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [37, 13, 48]
Generated Node #2: [37, 13, 48] from Operation: 28+20=48
Current State: 98:[37, 13, 48], Operations: ['28+20=48']
Exploring Operation: 37+13=50, Resulting Numbers: [48, 50]
Generated Node #3: [48, 50] from Operation: 37+13=50
Current State: 98:[48, 50], Operations: ['28+20=48', '37+13=50']
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
12,
40,
52,
60
] | 17 | [
"60/12=5",
"52-40=12",
"5+12=17"
] | Current State: 17:[12, 40, 52, 60], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [40, 52, 5]
Generated Node #2: [40, 52, 5] from Operation: 60/12=5
Current State: 17:[40, 52, 5], Operations: ['60/12=5']
Exploring Operation: 52-40=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 52-40=12
Current State: 17:[5, 12], Operations: ['60/12=5', '52-40=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
6,
1,
27,
35
] | 47 | [
"35-27=8",
"6*8=48",
"48-1=47"
] | Current State: 47:[6, 1, 27, 35], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [6, 1, 8]
Generated Node #2: [6, 1, 8] from Operation: 35-27=8
Current State: 47:[6, 1, 8], Operations: ['35-27=8']
Exploring Operation: 6*8=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 6*8=48
Current State: 47:[1, 48], Operations: ['35-27=8', '6*8=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
42,
18,
3,
72
] | 40 | [
"42/3=14",
"72-18=54",
"54-14=40"
] | Current State: 40:[42, 18, 3, 72], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [18, 72, 14]
Generated Node #2: [18, 72, 14] from Operation: 42/3=14
Current State: 40:[18, 72, 14], Operations: ['42/3=14']
Exploring Operation: 72-18=54, Resulting Numbers: [14, 54]
Generated Node #3: [14, 54] from Operation: 72-18=54
Current State: 40:[14, 54], Operations: ['42/3=14', '72-18=54']
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
55,
97,
79,
86
] | 13 | [
"55+97=152",
"79+86=165",
"165-152=13"
] | Current State: 13:[55, 97, 79, 86], Operations: []
Exploring Operation: 55+97=152, Resulting Numbers: [79, 86, 152]
Generated Node #2: [79, 86, 152] from Operation: 55+97=152
Current State: 13:[79, 86, 152], Operations: ['55+97=152']
Exploring Operation: 79+86=165, Resulting Numbers: [152, 165]
Generated Node #3: [152, 165] from Operation: 79+86=165
Current State: 13:[152, 165], Operations: ['55+97=152', '79+86=165']
Exploring Operation: 165-152=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
9,
73,
63,
84
] | 18 | [
"63/9=7",
"84-73=11",
"7+11=18"
] | Current State: 18:[9, 73, 63, 84], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [73, 84, 7]
Generated Node #2: [73, 84, 7] from Operation: 63/9=7
Current State: 18:[73, 84, 7], Operations: ['63/9=7']
Exploring Operation: 84-73=11, Resulting Numbers: [7, 11]
Generated Node #3: [7, 11] from Operation: 84-73=11
Current State: 18:[7, 11], Operations: ['63/9=7', '84-73=11']
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
6,
14,
4,
17
] | 30 | [
"6+4=10",
"17-14=3",
"10*3=30"
] | Current State: 30:[6, 14, 4, 17], Operations: []
Exploring Operation: 6+4=10, Resulting Numbers: [14, 17, 10]
Generated Node #2: [14, 17, 10] from Operation: 6+4=10
Current State: 30:[14, 17, 10], Operations: ['6+4=10']
Exploring Operation: 17-14=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 17-14=3
Current State: 30:[10, 3], Operations: ['6+4=10', '17-14=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
79,
45,
54,
64
] | 57 | [
"79-64=15",
"45/15=3",
"54+3=57"
] | Current State: 57:[79, 45, 54, 64], Operations: []
Exploring Operation: 79-64=15, Resulting Numbers: [45, 54, 15]
Generated Node #2: [45, 54, 15] from Operation: 79-64=15
Current State: 57:[45, 54, 15], Operations: ['79-64=15']
Exploring Operation: 45/15=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 45/15=3
Current State: 57:[54, 3], Operations: ['79-64=15', '45/15=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
22,
30,
9,
13
] | 31 | [
"22-9=13",
"13/13=1",
"30+1=31"
] | Current State: 31:[22, 30, 9, 13], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [30, 13, 13]
Generated Node #2: [30, 13, 13] from Operation: 22-9=13
Current State: 31:[30, 13, 13], Operations: ['22-9=13']
Exploring Operation: 13/13=1, Resulting Numbers: [30, 1]
Generated Node #3: [30, 1] from Operation: 13/13=1
Current State: 31:[30, 1], Operations: ['22-9=13', '13/13=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
71,
5,
20,
57
] | 86 | [
"71-57=14",
"5*20=100",
"100-14=86"
] | Current State: 86:[71, 5, 20, 57], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [5, 20, 14]
Generated Node #2: [5, 20, 14] from Operation: 71-57=14
Current State: 86:[5, 20, 14], Operations: ['71-57=14']
Exploring Operation: 5*20=100, Resulting Numbers: [14, 100]
Generated Node #3: [14, 100] from Operation: 5*20=100
Current State: 86:[14, 100], Operations: ['71-57=14', '5*20=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
66,
26,
61,
71
] | 30 | [
"66-26=40",
"71-61=10",
"40-10=30"
] | Current State: 30:[66, 26, 61, 71], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [61, 71, 40]
Generated Node #2: [61, 71, 40] from Operation: 66-26=40
Current State: 30:[61, 71, 40], Operations: ['66-26=40']
Exploring Operation: 71-61=10, Resulting Numbers: [40, 10]
Generated Node #3: [40, 10] from Operation: 71-61=10
Current State: 30:[40, 10], Operations: ['66-26=40', '71-61=10']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
56,
32,
18,
53
] | 86 | [
"56-53=3",
"18*3=54",
"32+54=86"
] | Current State: 86:[56, 32, 18, 53], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [32, 18, 3]
Generated Node #2: [32, 18, 3] from Operation: 56-53=3
Current State: 86:[32, 18, 3], Operations: ['56-53=3']
Exploring Operation: 18*3=54, Resulting Numbers: [32, 54]
Generated Node #3: [32, 54] from Operation: 18*3=54
Current State: 86:[32, 54], Operations: ['56-53=3', '18*3=54']
Exploring Operation: 32+54=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
32,
21,
17,
19
] | 47 | [
"32-21=11",
"17+19=36",
"11+36=47"
] | Current State: 47:[32, 21, 17, 19], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [17, 19, 11]
Generated Node #2: [17, 19, 11] from Operation: 32-21=11
Current State: 47:[17, 19, 11], Operations: ['32-21=11']
Exploring Operation: 17+19=36, Resulting Numbers: [11, 36]
Generated Node #3: [11, 36] from Operation: 17+19=36
Current State: 47:[11, 36], Operations: ['32-21=11', '17+19=36']
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
6,
11,
71,
89
] | 97 | [
"89-71=18",
"6*18=108",
"108-11=97"
] | Current State: 97:[6, 11, 71, 89], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [6, 11, 18]
Generated Node #2: [6, 11, 18] from Operation: 89-71=18
Current State: 97:[6, 11, 18], Operations: ['89-71=18']
Exploring Operation: 6*18=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 6*18=108
Current State: 97:[11, 108], Operations: ['89-71=18', '6*18=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
60,
10,
80,
71
] | 15 | [
"60/10=6",
"80-71=9",
"6+9=15"
] | Current State: 15:[60, 10, 80, 71], Operations: []
Exploring Operation: 60/10=6, Resulting Numbers: [80, 71, 6]
Generated Node #2: [80, 71, 6] from Operation: 60/10=6
Current State: 15:[80, 71, 6], Operations: ['60/10=6']
Exploring Operation: 80-71=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 80-71=9
Current State: 15:[6, 9], Operations: ['60/10=6', '80-71=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
68,
34,
17,
10
] | 61 | [
"68-34=34",
"17+10=27",
"34+27=61"
] | Current State: 61:[68, 34, 17, 10], Operations: []
Exploring Operation: 68-34=34, Resulting Numbers: [17, 10, 34]
Generated Node #2: [17, 10, 34] from Operation: 68-34=34
Current State: 61:[17, 10, 34], Operations: ['68-34=34']
Exploring Operation: 17+10=27, Resulting Numbers: [34, 27]
Generated Node #3: [34, 27] from Operation: 17+10=27
Current State: 61:[34, 27], Operations: ['68-34=34', '17+10=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
33,
60,
4,
81
] | 33 | [
"81-33=48",
"60/4=15",
"48-15=33"
] | Current State: 33:[33, 60, 4, 81], Operations: []
Exploring Operation: 81-33=48, Resulting Numbers: [60, 4, 48]
Generated Node #2: [60, 4, 48] from Operation: 81-33=48
Current State: 33:[60, 4, 48], Operations: ['81-33=48']
Exploring Operation: 60/4=15, Resulting Numbers: [48, 15]
Generated Node #3: [48, 15] from Operation: 60/4=15
Current State: 33:[48, 15], Operations: ['81-33=48', '60/4=15']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
96,
4,
70,
61
] | 15 | [
"96/4=24",
"70-61=9",
"24-9=15"
] | Current State: 15:[96, 4, 70, 61], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [70, 61, 24]
Generated Node #2: [70, 61, 24] from Operation: 96/4=24
Current State: 15:[70, 61, 24], Operations: ['96/4=24']
Exploring Operation: 70-61=9, Resulting Numbers: [24, 9]
Generated Node #3: [24, 9] from Operation: 70-61=9
Current State: 15:[24, 9], Operations: ['96/4=24', '70-61=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
90,
59,
65,
90
] | 75 | [
"65-59=6",
"90/6=15",
"90-15=75"
] | Current State: 75:[90, 59, 65, 90], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [90, 90, 6]
Generated Node #2: [90, 90, 6] from Operation: 65-59=6
Current State: 75:[90, 90, 6], Operations: ['65-59=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,75 equal: Goal Reached
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
83,
99,
18
] | 92 | [
"5*18=90",
"83+99=182",
"182-90=92"
] | Current State: 92:[5, 83, 99, 18], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [83, 99, 90]
Generated Node #2: [83, 99, 90] from Operation: 5*18=90
Current State: 92:[83, 99, 90], Operations: ['5*18=90']
Exploring Operation: 83+99=182, Resulting Numbers: [90, 182]
Generated Node #3: [90, 182] from Operation: 83+99=182
Current State: 92:[90, 182], Operations: ['5*18=90', '83+99=182']
Exploring Operation: 182-90=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
26,
30,
4,
64
] | 72 | [
"26+30=56",
"64/4=16",
"56+16=72"
] | Current State: 72:[26, 30, 4, 64], Operations: []
Exploring Operation: 26+30=56, Resulting Numbers: [4, 64, 56]
Generated Node #2: [4, 64, 56] from Operation: 26+30=56
Current State: 72:[4, 64, 56], Operations: ['26+30=56']
Exploring Operation: 64/4=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 64/4=16
Current State: 72:[56, 16], Operations: ['26+30=56', '64/4=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
86,
41,
35,
33
] | 47 | [
"86-41=45",
"35-33=2",
"45+2=47"
] | Current State: 47:[86, 41, 35, 33], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [35, 33, 45]
Generated Node #2: [35, 33, 45] from Operation: 86-41=45
Current State: 47:[35, 33, 45], Operations: ['86-41=45']
Exploring Operation: 35-33=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 35-33=2
Current State: 47:[45, 2], Operations: ['86-41=45', '35-33=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
94,
37,
20,
19
] | 60 | [
"94-37=57",
"20*57=1140",
"1140/19=60"
] | Current State: 60:[94, 37, 20, 19], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [20, 19, 57]
Generated Node #2: [20, 19, 57] from Operation: 94-37=57
Current State: 60:[20, 19, 57], Operations: ['94-37=57']
Exploring Operation: 20*57=1140, Resulting Numbers: [19, 1140]
Generated Node #3: [19, 1140] from Operation: 20*57=1140
Current State: 60:[19, 1140], Operations: ['94-37=57', '20*57=1140']
Exploring Operation: 1140/19=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
27,
74,
81
] | 73 | [
"54+27=81",
"81/81=1",
"74-1=73"
] | Current State: 73:[54, 27, 74, 81], Operations: []
Exploring Operation: 54+27=81, Resulting Numbers: [74, 81, 81]
Generated Node #2: [74, 81, 81] from Operation: 54+27=81
Current State: 73:[74, 81, 81], Operations: ['54+27=81']
Exploring Operation: 81/81=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 81/81=1
Current State: 73:[74, 1], Operations: ['54+27=81', '81/81=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
4,
92,
22,
14
] | 10 | [
"92-4=88",
"88/22=4",
"14-4=10"
] | Current State: 10:[4, 92, 22, 14], Operations: []
Exploring Operation: 92-4=88, Resulting Numbers: [22, 14, 88]
Generated Node #2: [22, 14, 88] from Operation: 92-4=88
Current State: 10:[22, 14, 88], Operations: ['92-4=88']
Exploring Operation: 88/22=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 88/22=4
Current State: 10:[14, 4], Operations: ['92-4=88', '88/22=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
11,
73,
8,
7
] | 52 | [
"11-8=3",
"7*3=21",
"73-21=52"
] | Current State: 52:[11, 73, 8, 7], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [73, 7, 3]
Generated Node #2: [73, 7, 3] from Operation: 11-8=3
Current State: 52:[73, 7, 3], Operations: ['11-8=3']
Exploring Operation: 7*3=21, Resulting Numbers: [73, 21]
Generated Node #3: [73, 21] from Operation: 7*3=21
Current State: 52:[73, 21], Operations: ['11-8=3', '7*3=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
93,
78,
22,
63
] | 24 | [
"93+63=156",
"156/78=2",
"22+2=24"
] | Current State: 24:[93, 78, 22, 63], Operations: []
Exploring Operation: 93+63=156, Resulting Numbers: [78, 22, 156]
Generated Node #2: [78, 22, 156] from Operation: 93+63=156
Current State: 24:[78, 22, 156], Operations: ['93+63=156']
Exploring Operation: 156/78=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 156/78=2
Current State: 24:[22, 2], Operations: ['93+63=156', '156/78=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
68,
20,
68,
8
] | 27 | [
"68/68=1",
"20+8=28",
"28-1=27"
] | Current State: 27:[68, 20, 68, 8], Operations: []
Exploring Operation: 68/68=1, Resulting Numbers: [20, 8, 1]
Generated Node #2: [20, 8, 1] from Operation: 68/68=1
Current State: 27:[20, 8, 1], Operations: ['68/68=1']
Exploring Operation: 20+8=28, Resulting Numbers: [1, 28]
Generated Node #3: [1, 28] from Operation: 20+8=28
Current State: 27:[1, 28], Operations: ['68/68=1', '20+8=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
40,
4,
44,
48
] | 16 | [
"44-40=4",
"48/4=12",
"4+12=16"
] | Current State: 16:[40, 4, 44, 48], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [4, 48, 4]
Generated Node #2: [4, 48, 4] from Operation: 44-40=4
Current State: 16:[4, 48, 4], Operations: ['44-40=4']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,16 equal: Goal Reached
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
75,
32,
43,
21
] | 85 | [
"75+32=107",
"43-21=22",
"107-22=85"
] | Current State: 85:[75, 32, 43, 21], Operations: []
Exploring Operation: 75+32=107, Resulting Numbers: [43, 21, 107]
Generated Node #2: [43, 21, 107] from Operation: 75+32=107
Current State: 85:[43, 21, 107], Operations: ['75+32=107']
Exploring Operation: 43-21=22, Resulting Numbers: [107, 22]
Generated Node #3: [107, 22] from Operation: 43-21=22
Current State: 85:[107, 22], Operations: ['75+32=107', '43-21=22']
Exploring Operation: 107-22=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
33,
75,
50,
50
] | 66 | [
"33*50=1650",
"75-50=25",
"1650/25=66"
] | Current State: 66:[33, 75, 50, 50], Operations: []
Exploring Operation: 33*50=1650, Resulting Numbers: [75, 1650]
Generated Node #2: [75, 1650] from Operation: 33*50=1650
Current State: 66:[75, 1650], Operations: ['33*50=1650']
Exploring Operation: 75-50=25, Resulting Numbers: [1650, 25]
Generated Node #3: [1650, 25] from Operation: 75-50=25
Current State: 66:[1650, 25], Operations: ['33*50=1650', '75-50=25']
Exploring Operation: 1650/25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
35,
84,
92
] | 16 | [
"70/35=2",
"92-84=8",
"2*8=16"
] | Current State: 16:[70, 35, 84, 92], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [84, 92, 2]
Generated Node #2: [84, 92, 2] from Operation: 70/35=2
Current State: 16:[84, 92, 2], Operations: ['70/35=2']
Exploring Operation: 92-84=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 92-84=8
Current State: 16:[2, 8], Operations: ['70/35=2', '92-84=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
74,
53,
69,
20
] | 49 | [
"74-69=5",
"20/5=4",
"53-4=49"
] | Current State: 49:[74, 53, 69, 20], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [53, 20, 5]
Generated Node #2: [53, 20, 5] from Operation: 74-69=5
Current State: 49:[53, 20, 5], Operations: ['74-69=5']
Exploring Operation: 20/5=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 20/5=4
Current State: 49:[53, 4], Operations: ['74-69=5', '20/5=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
84,
31,
65,
28
] | 31 | [
"84/28=3",
"65-31=34",
"34-3=31"
] | Current State: 31:[84, 31, 65, 28], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [31, 65, 3]
Generated Node #2: [31, 65, 3] from Operation: 84/28=3
Current State: 31:[31, 65, 3], Operations: ['84/28=3']
Exploring Operation: 65-31=34, Resulting Numbers: [3, 34]
Generated Node #3: [3, 34] from Operation: 65-31=34
Current State: 31:[3, 34], Operations: ['84/28=3', '65-31=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
94,
58,
24,
81
] | 95 | [
"94+58=152",
"81-24=57",
"152-57=95"
] | Current State: 95:[94, 58, 24, 81], Operations: []
Exploring Operation: 94+58=152, Resulting Numbers: [24, 81, 152]
Generated Node #2: [24, 81, 152] from Operation: 94+58=152
Current State: 95:[24, 81, 152], Operations: ['94+58=152']
Exploring Operation: 81-24=57, Resulting Numbers: [152, 57]
Generated Node #3: [152, 57] from Operation: 81-24=57
Current State: 95:[152, 57], Operations: ['94+58=152', '81-24=57']
Exploring Operation: 152-57=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
28,
12,
74
] | 68 | [
"28+74=102",
"8*102=816",
"816/12=68"
] | Current State: 68:[8, 28, 12, 74], Operations: []
Exploring Operation: 28+74=102, Resulting Numbers: [8, 12, 102]
Generated Node #2: [8, 12, 102] from Operation: 28+74=102
Current State: 68:[8, 12, 102], Operations: ['28+74=102']
Exploring Operation: 8*102=816, Resulting Numbers: [12, 816]
Generated Node #3: [12, 816] from Operation: 8*102=816
Current State: 68:[12, 816], Operations: ['28+74=102', '8*102=816']
Exploring Operation: 816/12=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
92,
57,
69,
15
] | 91 | [
"92*57=5244",
"5244/69=76",
"15+76=91"
] | Current State: 91:[92, 57, 69, 15], Operations: []
Exploring Operation: 92*57=5244, Resulting Numbers: [69, 15, 5244]
Generated Node #2: [69, 15, 5244] from Operation: 92*57=5244
Current State: 91:[69, 15, 5244], Operations: ['92*57=5244']
Exploring Operation: 5244/69=76, Resulting Numbers: [15, 76]
Generated Node #3: [15, 76] from Operation: 5244/69=76
Current State: 91:[15, 76], Operations: ['92*57=5244', '5244/69=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
71,
53,
34,
47
] | 77 | [
"71*34=2414",
"53*47=2491",
"2491-2414=77"
] | Current State: 77:[71, 53, 34, 47], Operations: []
Exploring Operation: 71*34=2414, Resulting Numbers: [53, 47, 2414]
Generated Node #2: [53, 47, 2414] from Operation: 71*34=2414
Current State: 77:[53, 47, 2414], Operations: ['71*34=2414']
Exploring Operation: 53*47=2491, Resulting Numbers: [2414, 2491]
Generated Node #3: [2414, 2491] from Operation: 53*47=2491
Current State: 77:[2414, 2491], Operations: ['71*34=2414', '53*47=2491']
Exploring Operation: 2491-2414=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
85,
4,
67,
48
] | 100 | [
"85-4=81",
"67-48=19",
"81+19=100"
] | Current State: 100:[85, 4, 67, 48], Operations: []
Exploring Operation: 85-4=81, Resulting Numbers: [67, 48, 81]
Generated Node #2: [67, 48, 81] from Operation: 85-4=81
Current State: 100:[67, 48, 81], Operations: ['85-4=81']
Exploring Operation: 67-48=19, Resulting Numbers: [81, 19]
Generated Node #3: [81, 19] from Operation: 67-48=19
Current State: 100:[81, 19], Operations: ['85-4=81', '67-48=19']
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
28,
16,
97
] | 93 | [
"28-16=12",
"97-16=81",
"12+81=93"
] | Current State: 93:[16, 28, 16, 97], Operations: []
Exploring Operation: 28-16=12, Resulting Numbers: [97, 12]
Generated Node #2: [97, 12] from Operation: 28-16=12
Current State: 93:[97, 12], Operations: ['28-16=12']
Exploring Operation: 97-16=81, Resulting Numbers: [12, 81]
Generated Node #3: [12, 81] from Operation: 97-16=81
Current State: 93:[12, 81], Operations: ['28-16=12', '97-16=81']
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
76,
47,
17,
59
] | 81 | [
"76+47=123",
"59-17=42",
"123-42=81"
] | Current State: 81:[76, 47, 17, 59], Operations: []
Exploring Operation: 76+47=123, Resulting Numbers: [17, 59, 123]
Generated Node #2: [17, 59, 123] from Operation: 76+47=123
Current State: 81:[17, 59, 123], Operations: ['76+47=123']
Exploring Operation: 59-17=42, Resulting Numbers: [123, 42]
Generated Node #3: [123, 42] from Operation: 59-17=42
Current State: 81:[123, 42], Operations: ['76+47=123', '59-17=42']
Exploring Operation: 123-42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
16,
15,
1,
66
] | 96 | [
"16+15=31",
"66-1=65",
"31+65=96"
] | Current State: 96:[16, 15, 1, 66], Operations: []
Exploring Operation: 16+15=31, Resulting Numbers: [1, 66, 31]
Generated Node #2: [1, 66, 31] from Operation: 16+15=31
Current State: 96:[1, 66, 31], Operations: ['16+15=31']
Exploring Operation: 66-1=65, Resulting Numbers: [31, 65]
Generated Node #3: [31, 65] from Operation: 66-1=65
Current State: 96:[31, 65], Operations: ['16+15=31', '66-1=65']
Exploring Operation: 31+65=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
63,
34,
2,
64
] | 65 | [
"63+34=97",
"64/2=32",
"97-32=65"
] | Current State: 65:[63, 34, 2, 64], Operations: []
Exploring Operation: 63+34=97, Resulting Numbers: [2, 64, 97]
Generated Node #2: [2, 64, 97] from Operation: 63+34=97
Current State: 65:[2, 64, 97], Operations: ['63+34=97']
Exploring Operation: 64/2=32, Resulting Numbers: [97, 32]
Generated Node #3: [97, 32] from Operation: 64/2=32
Current State: 65:[97, 32], Operations: ['63+34=97', '64/2=32']
Exploring Operation: 97-32=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
33,
35,
37,
24
] | 41 | [
"37-33=4",
"24/4=6",
"35+6=41"
] | Current State: 41:[33, 35, 37, 24], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [35, 24, 4]
Generated Node #2: [35, 24, 4] from Operation: 37-33=4
Current State: 41:[35, 24, 4], Operations: ['37-33=4']
Exploring Operation: 24/4=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 24/4=6
Current State: 41:[35, 6], Operations: ['37-33=4', '24/4=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
45,
23,
86,
88
] | 46 | [
"88-45=43",
"23*86=1978",
"1978/43=46"
] | Current State: 46:[45, 23, 86, 88], Operations: []
Exploring Operation: 88-45=43, Resulting Numbers: [23, 86, 43]
Generated Node #2: [23, 86, 43] from Operation: 88-45=43
Current State: 46:[23, 86, 43], Operations: ['88-45=43']
Exploring Operation: 23*86=1978, Resulting Numbers: [43, 1978]
Generated Node #3: [43, 1978] from Operation: 23*86=1978
Current State: 46:[43, 1978], Operations: ['88-45=43', '23*86=1978']
Exploring Operation: 1978/43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
28,
59,
56,
5
] | 79 | [
"59-56=3",
"28*3=84",
"84-5=79"
] | Current State: 79:[28, 59, 56, 5], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [28, 5, 3]
Generated Node #2: [28, 5, 3] from Operation: 59-56=3
Current State: 79:[28, 5, 3], Operations: ['59-56=3']
Exploring Operation: 28*3=84, Resulting Numbers: [5, 84]
Generated Node #3: [5, 84] from Operation: 28*3=84
Current State: 79:[5, 84], Operations: ['59-56=3', '28*3=84']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
2,
40,
37,
33
] | 76 | [
"2*40=80",
"37-33=4",
"80-4=76"
] | Current State: 76:[2, 40, 37, 33], Operations: []
Exploring Operation: 2*40=80, Resulting Numbers: [37, 33, 80]
Generated Node #2: [37, 33, 80] from Operation: 2*40=80
Current State: 76:[37, 33, 80], Operations: ['2*40=80']
Exploring Operation: 37-33=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 37-33=4
Current State: 76:[80, 4], Operations: ['2*40=80', '37-33=4']
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
22,
8,
24,
24
] | 90 | [
"22*24=528",
"528/8=66",
"24+66=90"
] | Current State: 90:[22, 8, 24, 24], Operations: []
Exploring Operation: 22*24=528, Resulting Numbers: [8, 528]
Generated Node #2: [8, 528] from Operation: 22*24=528
Current State: 90:[8, 528], Operations: ['22*24=528']
Exploring Operation: 528/8=66, Resulting Numbers: [66]
66,90 equal: Goal Reached
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
92,
52,
8,
89
] | 94 | [
"92-52=40",
"40/8=5",
"89+5=94"
] | Current State: 94:[92, 52, 8, 89], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [8, 89, 40]
Generated Node #2: [8, 89, 40] from Operation: 92-52=40
Current State: 94:[8, 89, 40], Operations: ['92-52=40']
Exploring Operation: 40/8=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 40/8=5
Current State: 94:[89, 5], Operations: ['92-52=40', '40/8=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
60,
31,
51,
82
] | 85 | [
"51-31=20",
"60/20=3",
"82+3=85"
] | Current State: 85:[60, 31, 51, 82], Operations: []
Exploring Operation: 51-31=20, Resulting Numbers: [60, 82, 20]
Generated Node #2: [60, 82, 20] from Operation: 51-31=20
Current State: 85:[60, 82, 20], Operations: ['51-31=20']
Exploring Operation: 60/20=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 60/20=3
Current State: 85:[82, 3], Operations: ['51-31=20', '60/20=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
47,
96,
36,
62
] | 75 | [
"96-47=49",
"62-36=26",
"49+26=75"
] | Current State: 75:[47, 96, 36, 62], Operations: []
Exploring Operation: 96-47=49, Resulting Numbers: [36, 62, 49]
Generated Node #2: [36, 62, 49] from Operation: 96-47=49
Current State: 75:[36, 62, 49], Operations: ['96-47=49']
Exploring Operation: 62-36=26, Resulting Numbers: [49, 26]
Generated Node #3: [49, 26] from Operation: 62-36=26
Current State: 75:[49, 26], Operations: ['96-47=49', '62-36=26']
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
86,
7,
69,
64
] | 74 | [
"86-7=79",
"69-64=5",
"79-5=74"
] | Current State: 74:[86, 7, 69, 64], Operations: []
Exploring Operation: 86-7=79, Resulting Numbers: [69, 64, 79]
Generated Node #2: [69, 64, 79] from Operation: 86-7=79
Current State: 74:[69, 64, 79], Operations: ['86-7=79']
Exploring Operation: 69-64=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 69-64=5
Current State: 74:[79, 5], Operations: ['86-7=79', '69-64=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
27,
14,
84,
93
] | 72 | [
"93-27=66",
"84/14=6",
"66+6=72"
] | Current State: 72:[27, 14, 84, 93], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [14, 84, 66]
Generated Node #2: [14, 84, 66] from Operation: 93-27=66
Current State: 72:[14, 84, 66], Operations: ['93-27=66']
Exploring Operation: 84/14=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 84/14=6
Current State: 72:[66, 6], Operations: ['93-27=66', '84/14=6']
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
19,
44,
5,
96
] | 11 | [
"19+5=24",
"44*24=1056",
"1056/96=11"
] | Current State: 11:[19, 44, 5, 96], Operations: []
Exploring Operation: 19+5=24, Resulting Numbers: [44, 96, 24]
Generated Node #2: [44, 96, 24] from Operation: 19+5=24
Current State: 11:[44, 96, 24], Operations: ['19+5=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [96, 1056]
Generated Node #3: [96, 1056] from Operation: 44*24=1056
Current State: 11:[96, 1056], Operations: ['19+5=24', '44*24=1056']
Exploring Operation: 1056/96=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
94,
55,
47,
70
] | 78 | [
"94-55=39",
"47+70=117",
"117-39=78"
] | Current State: 78:[94, 55, 47, 70], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [47, 70, 39]
Generated Node #2: [47, 70, 39] from Operation: 94-55=39
Current State: 78:[47, 70, 39], Operations: ['94-55=39']
Exploring Operation: 47+70=117, Resulting Numbers: [39, 117]
Generated Node #3: [39, 117] from Operation: 47+70=117
Current State: 78:[39, 117], Operations: ['94-55=39', '47+70=117']
Exploring Operation: 117-39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
21,
41,
33,
52
] | 82 | [
"21+33=54",
"54-52=2",
"41*2=82"
] | Current State: 82:[21, 41, 33, 52], Operations: []
Exploring Operation: 21+33=54, Resulting Numbers: [41, 52, 54]
Generated Node #2: [41, 52, 54] from Operation: 21+33=54
Current State: 82:[41, 52, 54], Operations: ['21+33=54']
Exploring Operation: 54-52=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 54-52=2
Current State: 82:[41, 2], Operations: ['21+33=54', '54-52=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
29,
9,
28,
97
] | 89 | [
"29-9=20",
"97-28=69",
"20+69=89"
] | Current State: 89:[29, 9, 28, 97], Operations: []
Exploring Operation: 29-9=20, Resulting Numbers: [28, 97, 20]
Generated Node #2: [28, 97, 20] from Operation: 29-9=20
Current State: 89:[28, 97, 20], Operations: ['29-9=20']
Exploring Operation: 97-28=69, Resulting Numbers: [20, 69]
Generated Node #3: [20, 69] from Operation: 97-28=69
Current State: 89:[20, 69], Operations: ['29-9=20', '97-28=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
50,
2,
54,
54
] | 31 | [
"54-50=4",
"54/2=27",
"4+27=31"
] | Current State: 31:[50, 2, 54, 54], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [2, 4]
Generated Node #2: [2, 4] from Operation: 54-50=4
Current State: 31:[2, 4], Operations: ['54-50=4']
Exploring Operation: 54/2=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 54/2=27
Current State: 31:[4, 27], Operations: ['54-50=4', '54/2=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
20,
64,
57,
7
] | 29 | [
"64-57=7",
"7*7=49",
"49-20=29"
] | Current State: 29:[20, 64, 57, 7], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [20, 7, 7]
Generated Node #2: [20, 7, 7] from Operation: 64-57=7
Current State: 29:[20, 7, 7], Operations: ['64-57=7']
Exploring Operation: 7*7=49, Resulting Numbers: [20, 49]
Generated Node #3: [20, 49] from Operation: 7*7=49
Current State: 29:[20, 49], Operations: ['64-57=7', '7*7=49']
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
58,
3,
73,
8
] | 10 | [
"58-3=55",
"73-8=65",
"65-55=10"
] | Current State: 10:[58, 3, 73, 8], Operations: []
Exploring Operation: 58-3=55, Resulting Numbers: [73, 8, 55]
Generated Node #2: [73, 8, 55] from Operation: 58-3=55
Current State: 10:[73, 8, 55], Operations: ['58-3=55']
Exploring Operation: 73-8=65, Resulting Numbers: [55, 65]
Generated Node #3: [55, 65] from Operation: 73-8=65
Current State: 10:[55, 65], Operations: ['58-3=55', '73-8=65']
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
13,
56,
70,
3
] | 75 | [
"70-13=57",
"57/3=19",
"56+19=75"
] | Current State: 75:[13, 56, 70, 3], Operations: []
Exploring Operation: 70-13=57, Resulting Numbers: [56, 3, 57]
Generated Node #2: [56, 3, 57] from Operation: 70-13=57
Current State: 75:[56, 3, 57], Operations: ['70-13=57']
Exploring Operation: 57/3=19, Resulting Numbers: [56, 19]
Generated Node #3: [56, 19] from Operation: 57/3=19
Current State: 75:[56, 19], Operations: ['70-13=57', '57/3=19']
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
66,
16,
71,
46
] | 67 | [
"66-16=50",
"71+46=117",
"117-50=67"
] | Current State: 67:[66, 16, 71, 46], Operations: []
Exploring Operation: 66-16=50, Resulting Numbers: [71, 46, 50]
Generated Node #2: [71, 46, 50] from Operation: 66-16=50
Current State: 67:[71, 46, 50], Operations: ['66-16=50']
Exploring Operation: 71+46=117, Resulting Numbers: [50, 117]
Generated Node #3: [50, 117] from Operation: 71+46=117
Current State: 67:[50, 117], Operations: ['66-16=50', '71+46=117']
Exploring Operation: 117-50=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
18,
63,
22,
16
] | 39 | [
"63-18=45",
"22-16=6",
"45-6=39"
] | Current State: 39:[18, 63, 22, 16], Operations: []
Exploring Operation: 63-18=45, Resulting Numbers: [22, 16, 45]
Generated Node #2: [22, 16, 45] from Operation: 63-18=45
Current State: 39:[22, 16, 45], Operations: ['63-18=45']
Exploring Operation: 22-16=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 22-16=6
Current State: 39:[45, 6], Operations: ['63-18=45', '22-16=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
5,
58,
4,
23
] | 39 | [
"58-5=53",
"4*23=92",
"92-53=39"
] | Current State: 39:[5, 58, 4, 23], Operations: []
Exploring Operation: 58-5=53, Resulting Numbers: [4, 23, 53]
Generated Node #2: [4, 23, 53] from Operation: 58-5=53
Current State: 39:[4, 23, 53], Operations: ['58-5=53']
Exploring Operation: 4*23=92, Resulting Numbers: [53, 92]
Generated Node #3: [53, 92] from Operation: 4*23=92
Current State: 39:[53, 92], Operations: ['58-5=53', '4*23=92']
Exploring Operation: 92-53=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
36,
69,
75,
67
] | 97 | [
"36+69=105",
"75-67=8",
"105-8=97"
] | Current State: 97:[36, 69, 75, 67], Operations: []
Exploring Operation: 36+69=105, Resulting Numbers: [75, 67, 105]
Generated Node #2: [75, 67, 105] from Operation: 36+69=105
Current State: 97:[75, 67, 105], Operations: ['36+69=105']
Exploring Operation: 75-67=8, Resulting Numbers: [105, 8]
Generated Node #3: [105, 8] from Operation: 75-67=8
Current State: 97:[105, 8], Operations: ['36+69=105', '75-67=8']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
65,
70,
4,
21
] | 59 | [
"65-21=44",
"44/4=11",
"70-11=59"
] | Current State: 59:[65, 70, 4, 21], Operations: []
Exploring Operation: 65-21=44, Resulting Numbers: [70, 4, 44]
Generated Node #2: [70, 4, 44] from Operation: 65-21=44
Current State: 59:[70, 4, 44], Operations: ['65-21=44']
Exploring Operation: 44/4=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 44/4=11
Current State: 59:[70, 11], Operations: ['65-21=44', '44/4=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
98,
28,
17,
71
] | 38 | [
"98+28=126",
"17+71=88",
"126-88=38"
] | Current State: 38:[98, 28, 17, 71], Operations: []
Exploring Operation: 98+28=126, Resulting Numbers: [17, 71, 126]
Generated Node #2: [17, 71, 126] from Operation: 98+28=126
Current State: 38:[17, 71, 126], Operations: ['98+28=126']
Exploring Operation: 17+71=88, Resulting Numbers: [126, 88]
Generated Node #3: [126, 88] from Operation: 17+71=88
Current State: 38:[126, 88], Operations: ['98+28=126', '17+71=88']
Exploring Operation: 126-88=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
16,
8,
39
] | 45 | [
"3*16=48",
"48/8=6",
"39+6=45"
] | Current State: 45:[3, 16, 8, 39], Operations: []
Exploring Operation: 3*16=48, Resulting Numbers: [8, 39, 48]
Generated Node #2: [8, 39, 48] from Operation: 3*16=48
Current State: 45:[8, 39, 48], Operations: ['3*16=48']
Exploring Operation: 48/8=6, Resulting Numbers: [39, 6]
Generated Node #3: [39, 6] from Operation: 48/8=6
Current State: 45:[39, 6], Operations: ['3*16=48', '48/8=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
42,
76,
15,
78
] | 84 | [
"42+78=120",
"120/15=8",
"76+8=84"
] | Current State: 84:[42, 76, 15, 78], Operations: []
Exploring Operation: 42+78=120, Resulting Numbers: [76, 15, 120]
Generated Node #2: [76, 15, 120] from Operation: 42+78=120
Current State: 84:[76, 15, 120], Operations: ['42+78=120']
Exploring Operation: 120/15=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 120/15=8
Current State: 84:[76, 8], Operations: ['42+78=120', '120/15=8']
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
68,
12,
74,
61
] | 88 | [
"74-61=13",
"12*13=156",
"156-68=88"
] | Current State: 88:[68, 12, 74, 61], Operations: []
Exploring Operation: 74-61=13, Resulting Numbers: [68, 12, 13]
Generated Node #2: [68, 12, 13] from Operation: 74-61=13
Current State: 88:[68, 12, 13], Operations: ['74-61=13']
Exploring Operation: 12*13=156, Resulting Numbers: [68, 156]
Generated Node #3: [68, 156] from Operation: 12*13=156
Current State: 88:[68, 156], Operations: ['74-61=13', '12*13=156']
Exploring Operation: 156-68=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
59,
89,
14,
60
] | 16 | [
"89-59=30",
"60-14=46",
"46-30=16"
] | Current State: 16:[59, 89, 14, 60], Operations: []
Exploring Operation: 89-59=30, Resulting Numbers: [14, 60, 30]
Generated Node #2: [14, 60, 30] from Operation: 89-59=30
Current State: 16:[14, 60, 30], Operations: ['89-59=30']
Exploring Operation: 60-14=46, Resulting Numbers: [30, 46]
Generated Node #3: [30, 46] from Operation: 60-14=46
Current State: 16:[30, 46], Operations: ['89-59=30', '60-14=46']
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
65,
12,
70,
34
] | 62 | [
"70-34=36",
"36/12=3",
"65-3=62"
] | Current State: 62:[65, 12, 70, 34], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [65, 12, 36]
Generated Node #2: [65, 12, 36] from Operation: 70-34=36
Current State: 62:[65, 12, 36], Operations: ['70-34=36']
Exploring Operation: 36/12=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 36/12=3
Current State: 62:[65, 3], Operations: ['70-34=36', '36/12=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
6,
80,
34,
18
] | 70 | [
"6+80=86",
"34-18=16",
"86-16=70"
] | Current State: 70:[6, 80, 34, 18], Operations: []
Exploring Operation: 6+80=86, Resulting Numbers: [34, 18, 86]
Generated Node #2: [34, 18, 86] from Operation: 6+80=86
Current State: 70:[34, 18, 86], Operations: ['6+80=86']
Exploring Operation: 34-18=16, Resulting Numbers: [86, 16]
Generated Node #3: [86, 16] from Operation: 34-18=16
Current State: 70:[86, 16], Operations: ['6+80=86', '34-18=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
37,
42,
25,
43
] | 61 | [
"37+42=79",
"43-25=18",
"79-18=61"
] | Current State: 61:[37, 42, 25, 43], Operations: []
Exploring Operation: 37+42=79, Resulting Numbers: [25, 43, 79]
Generated Node #2: [25, 43, 79] from Operation: 37+42=79
Current State: 61:[25, 43, 79], Operations: ['37+42=79']
Exploring Operation: 43-25=18, Resulting Numbers: [79, 18]
Generated Node #3: [79, 18] from Operation: 43-25=18
Current State: 61:[79, 18], Operations: ['37+42=79', '43-25=18']
Exploring Operation: 79-18=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
91,
25,
97,
5
] | 25 | [
"97-91=6",
"6-5=1",
"25*1=25"
] | Current State: 25:[91, 25, 97, 5], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [25, 5, 6]
Generated Node #2: [25, 5, 6] from Operation: 97-91=6
Current State: 25:[25, 5, 6], Operations: ['97-91=6']
Exploring Operation: 6-5=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 6-5=1
Current State: 25:[25, 1], Operations: ['97-91=6', '6-5=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
69,
23,
15,
3
] | 92 | [
"23*15=345",
"345-69=276",
"276/3=92"
] | Current State: 92:[69, 23, 15, 3], Operations: []
Exploring Operation: 23*15=345, Resulting Numbers: [69, 3, 345]
Generated Node #2: [69, 3, 345] from Operation: 23*15=345
Current State: 92:[69, 3, 345], Operations: ['23*15=345']
Exploring Operation: 345-69=276, Resulting Numbers: [3, 276]
Generated Node #3: [3, 276] from Operation: 345-69=276
Current State: 92:[3, 276], Operations: ['23*15=345', '345-69=276']
Exploring Operation: 276/3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
9,
92,
33
] | 91 | [
"43-9=34",
"92+33=125",
"125-34=91"
] | Current State: 91:[43, 9, 92, 33], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [92, 33, 34]
Generated Node #2: [92, 33, 34] from Operation: 43-9=34
Current State: 91:[92, 33, 34], Operations: ['43-9=34']
Exploring Operation: 92+33=125, Resulting Numbers: [34, 125]
Generated Node #3: [34, 125] from Operation: 92+33=125
Current State: 91:[34, 125], Operations: ['43-9=34', '92+33=125']
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
38,
60,
35,
34
] | 42 | [
"38-35=3",
"34*3=102",
"102-60=42"
] | Current State: 42:[38, 60, 35, 34], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [60, 34, 3]
Generated Node #2: [60, 34, 3] from Operation: 38-35=3
Current State: 42:[60, 34, 3], Operations: ['38-35=3']
Exploring Operation: 34*3=102, Resulting Numbers: [60, 102]
Generated Node #3: [60, 102] from Operation: 34*3=102
Current State: 42:[60, 102], Operations: ['38-35=3', '34*3=102']
Exploring Operation: 102-60=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
72,
54,
73
] | 88 | [
"73-7=66",
"72*66=4752",
"4752/54=88"
] | Current State: 88:[7, 72, 54, 73], Operations: []
Exploring Operation: 73-7=66, Resulting Numbers: [72, 54, 66]
Generated Node #2: [72, 54, 66] from Operation: 73-7=66
Current State: 88:[72, 54, 66], Operations: ['73-7=66']
Exploring Operation: 72*66=4752, Resulting Numbers: [54, 4752]
Generated Node #3: [54, 4752] from Operation: 72*66=4752
Current State: 88:[54, 4752], Operations: ['73-7=66', '72*66=4752']
Exploring Operation: 4752/54=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
57,
25,
54,
19
] | 76 | [
"57/19=3",
"25+54=79",
"79-3=76"
] | Current State: 76:[57, 25, 54, 19], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [25, 54, 3]
Generated Node #2: [25, 54, 3] from Operation: 57/19=3
Current State: 76:[25, 54, 3], Operations: ['57/19=3']
Exploring Operation: 25+54=79, Resulting Numbers: [3, 79]
Generated Node #3: [3, 79] from Operation: 25+54=79
Current State: 76:[3, 79], Operations: ['57/19=3', '25+54=79']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
71,
44,
85,
61
] | 31 | [
"71+44=115",
"85+61=146",
"146-115=31"
] | Current State: 31:[71, 44, 85, 61], Operations: []
Exploring Operation: 71+44=115, Resulting Numbers: [85, 61, 115]
Generated Node #2: [85, 61, 115] from Operation: 71+44=115
Current State: 31:[85, 61, 115], Operations: ['71+44=115']
Exploring Operation: 85+61=146, Resulting Numbers: [115, 146]
Generated Node #3: [115, 146] from Operation: 85+61=146
Current State: 31:[115, 146], Operations: ['71+44=115', '85+61=146']
Exploring Operation: 146-115=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
46,
32,
63
] | 10 | [
"46*63=2898",
"2898/69=42",
"42-32=10"
] | Current State: 10:[69, 46, 32, 63], Operations: []
Exploring Operation: 46*63=2898, Resulting Numbers: [69, 32, 2898]
Generated Node #2: [69, 32, 2898] from Operation: 46*63=2898
Current State: 10:[69, 32, 2898], Operations: ['46*63=2898']
Exploring Operation: 2898/69=42, Resulting Numbers: [32, 42]
Generated Node #3: [32, 42] from Operation: 2898/69=42
Current State: 10:[32, 42], Operations: ['46*63=2898', '2898/69=42']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
32,
66,
54,
27
] | 49 | [
"32+66=98",
"54/27=2",
"98/2=49"
] | Current State: 49:[32, 66, 54, 27], Operations: []
Exploring Operation: 32+66=98, Resulting Numbers: [54, 27, 98]
Generated Node #2: [54, 27, 98] from Operation: 32+66=98
Current State: 49:[54, 27, 98], Operations: ['32+66=98']
Exploring Operation: 54/27=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 54/27=2
Current State: 49:[98, 2], Operations: ['32+66=98', '54/27=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
40,
15,
10
] | 22 | [
"3+15=18",
"40/10=4",
"18+4=22"
] | Current State: 22:[3, 40, 15, 10], Operations: []
Exploring Operation: 3+15=18, Resulting Numbers: [40, 10, 18]
Generated Node #2: [40, 10, 18] from Operation: 3+15=18
Current State: 22:[40, 10, 18], Operations: ['3+15=18']
Exploring Operation: 40/10=4, Resulting Numbers: [18, 4]
Generated Node #3: [18, 4] from Operation: 40/10=4
Current State: 22:[18, 4], Operations: ['3+15=18', '40/10=4']
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
88,
44,
64,
66
] | 80 | [
"44+66=110",
"64*110=7040",
"7040/88=80"
] | Current State: 80:[88, 44, 64, 66], Operations: []
Exploring Operation: 44+66=110, Resulting Numbers: [88, 64, 110]
Generated Node #2: [88, 64, 110] from Operation: 44+66=110
Current State: 80:[88, 64, 110], Operations: ['44+66=110']
Exploring Operation: 64*110=7040, Resulting Numbers: [88, 7040]
Generated Node #3: [88, 7040] from Operation: 64*110=7040
Current State: 80:[88, 7040], Operations: ['44+66=110', '64*110=7040']
Exploring Operation: 7040/88=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
79,
83,
19,
61
] | 84 | [
"83-79=4",
"19+61=80",
"4+80=84"
] | Current State: 84:[79, 83, 19, 61], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [19, 61, 4]
Generated Node #2: [19, 61, 4] from Operation: 83-79=4
Current State: 84:[19, 61, 4], Operations: ['83-79=4']
Exploring Operation: 19+61=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 19+61=80
Current State: 84:[4, 80], Operations: ['83-79=4', '19+61=80']
Exploring Operation: 4+80=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
65,
45,
92,
58
] | 76 | [
"65+45=110",
"92-58=34",
"110-34=76"
] | Current State: 76:[65, 45, 92, 58], Operations: []
Exploring Operation: 65+45=110, Resulting Numbers: [92, 58, 110]
Generated Node #2: [92, 58, 110] from Operation: 65+45=110
Current State: 76:[92, 58, 110], Operations: ['65+45=110']
Exploring Operation: 92-58=34, Resulting Numbers: [110, 34]
Generated Node #3: [110, 34] from Operation: 92-58=34
Current State: 76:[110, 34], Operations: ['65+45=110', '92-58=34']
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
93,
12,
90,
91
] | 51 | [
"93-91=2",
"12+90=102",
"102/2=51"
] | Current State: 51:[93, 12, 90, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [12, 90, 2]
Generated Node #2: [12, 90, 2] from Operation: 93-91=2
Current State: 51:[12, 90, 2], Operations: ['93-91=2']
Exploring Operation: 12+90=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 12+90=102
Current State: 51:[2, 102], Operations: ['93-91=2', '12+90=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
15,
76,
16,
1
] | 46 | [
"76-15=61",
"16-1=15",
"61-15=46"
] | Current State: 46:[15, 76, 16, 1], Operations: []
Exploring Operation: 76-15=61, Resulting Numbers: [16, 1, 61]
Generated Node #2: [16, 1, 61] from Operation: 76-15=61
Current State: 46:[16, 1, 61], Operations: ['76-15=61']
Exploring Operation: 16-1=15, Resulting Numbers: [61, 15]
Generated Node #3: [61, 15] from Operation: 16-1=15
Current State: 46:[61, 15], Operations: ['76-15=61', '16-1=15']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
98,
19,
41,
92
] | 54 | [
"98-19=79",
"41+92=133",
"133-79=54"
] | Current State: 54:[98, 19, 41, 92], Operations: []
Exploring Operation: 98-19=79, Resulting Numbers: [41, 92, 79]
Generated Node #2: [41, 92, 79] from Operation: 98-19=79
Current State: 54:[41, 92, 79], Operations: ['98-19=79']
Exploring Operation: 41+92=133, Resulting Numbers: [79, 133]
Generated Node #3: [79, 133] from Operation: 41+92=133
Current State: 54:[79, 133], Operations: ['98-19=79', '41+92=133']
Exploring Operation: 133-79=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
32,
19,
5,
52
] | 96 | [
"5+52=57",
"32*57=1824",
"1824/19=96"
] | Current State: 96:[32, 19, 5, 52], Operations: []
Exploring Operation: 5+52=57, Resulting Numbers: [32, 19, 57]
Generated Node #2: [32, 19, 57] from Operation: 5+52=57
Current State: 96:[32, 19, 57], Operations: ['5+52=57']
Exploring Operation: 32*57=1824, Resulting Numbers: [19, 1824]
Generated Node #3: [19, 1824] from Operation: 32*57=1824
Current State: 96:[19, 1824], Operations: ['5+52=57', '32*57=1824']
Exploring Operation: 1824/19=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
53,
2,
62,
85
] | 83 | [
"53*2=106",
"85-62=23",
"106-23=83"
] | Current State: 83:[53, 2, 62, 85], Operations: []
Exploring Operation: 53*2=106, Resulting Numbers: [62, 85, 106]
Generated Node #2: [62, 85, 106] from Operation: 53*2=106
Current State: 83:[62, 85, 106], Operations: ['53*2=106']
Exploring Operation: 85-62=23, Resulting Numbers: [106, 23]
Generated Node #3: [106, 23] from Operation: 85-62=23
Current State: 83:[106, 23], Operations: ['53*2=106', '85-62=23']
Exploring Operation: 106-23=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
50,
54,
89,
13
] | 72 | [
"54-50=4",
"89-13=76",
"76-4=72"
] | Current State: 72:[50, 54, 89, 13], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [89, 13, 4]
Generated Node #2: [89, 13, 4] from Operation: 54-50=4
Current State: 72:[89, 13, 4], Operations: ['54-50=4']
Exploring Operation: 89-13=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 89-13=76
Current State: 72:[4, 76], Operations: ['54-50=4', '89-13=76']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
64,
23,
2,
32
] | 25 | [
"64-23=41",
"32/2=16",
"41-16=25"
] | Current State: 25:[64, 23, 2, 32], Operations: []
Exploring Operation: 64-23=41, Resulting Numbers: [2, 32, 41]
Generated Node #2: [2, 32, 41] from Operation: 64-23=41
Current State: 25:[2, 32, 41], Operations: ['64-23=41']
Exploring Operation: 32/2=16, Resulting Numbers: [41, 16]
Generated Node #3: [41, 16] from Operation: 32/2=16
Current State: 25:[41, 16], Operations: ['64-23=41', '32/2=16']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
57,
21,
38,
48
] | 11 | [
"38*48=1824",
"1824/57=32",
"32-21=11"
] | Current State: 11:[57, 21, 38, 48], Operations: []
Exploring Operation: 38*48=1824, Resulting Numbers: [57, 21, 1824]
Generated Node #2: [57, 21, 1824] from Operation: 38*48=1824
Current State: 11:[57, 21, 1824], Operations: ['38*48=1824']
Exploring Operation: 1824/57=32, Resulting Numbers: [21, 32]
Generated Node #3: [21, 32] from Operation: 1824/57=32
Current State: 11:[21, 32], Operations: ['38*48=1824', '1824/57=32']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
80,
2,
36,
79
] | 74 | [
"80+36=116",
"116-79=37",
"2*37=74"
] | Current State: 74:[80, 2, 36, 79], Operations: []
Exploring Operation: 80+36=116, Resulting Numbers: [2, 79, 116]
Generated Node #2: [2, 79, 116] from Operation: 80+36=116
Current State: 74:[2, 79, 116], Operations: ['80+36=116']
Exploring Operation: 116-79=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 116-79=37
Current State: 74:[2, 37], Operations: ['80+36=116', '116-79=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
12,
70,
7,
23
] | 75 | [
"12+23=35",
"35/7=5",
"70+5=75"
] | Current State: 75:[12, 70, 7, 23], Operations: []
Exploring Operation: 12+23=35, Resulting Numbers: [70, 7, 35]
Generated Node #2: [70, 7, 35] from Operation: 12+23=35
Current State: 75:[70, 7, 35], Operations: ['12+23=35']
Exploring Operation: 35/7=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 35/7=5
Current State: 75:[70, 5], Operations: ['12+23=35', '35/7=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
35,
4,
31,
76
] | 76 | [
"35-4=31",
"31+76=107",
"107-31=76"
] | Current State: 76:[35, 4, 31, 76], Operations: []
Exploring Operation: 35-4=31, Resulting Numbers: [31, 76, 31]
Generated Node #2: [31, 76, 31] from Operation: 35-4=31
Current State: 76:[31, 76, 31], Operations: ['35-4=31']
Exploring Operation: 31+76=107, Resulting Numbers: [107]
107,76 equal: Goal Reached
Exploring Operation: 107-31=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
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