nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 | search_path stringlengths 505 16.8k | rating float64 0 0.99 | search_type stringclasses 5
values | heuristic stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
30,
29,
78,
32
] | 47 | [
"30-29=1",
"78-32=46",
"1+46=47"
] | Current State: 47:[30, 29, 78, 32], Operations: []
Exploring Operation: 30-29=1, Resulting Numbers: [78, 32, 1]
Generated Node #2: [78, 32, 1] from Operation: 30-29=1
Current State: 47:[78, 32, 1], Operations: ['30-29=1']
Exploring Operation: 78-32=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 78-32=46
Current State: 47:[1, 46], Operations: ['30-29=1', '78-32=46']
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[30, 29, 78, 32], Operations: []
Exploring Operation: 78-32=46, Resulting Numbers: [30, 29, 46]
Generated Node #0,0: 47:[30, 29, 46] Operation: 78-32=46
Exploring Operation: 78-30=48, Resulting Numbers: [29, 32, 48]
Generated Node #0,1: 47:[29, 32, 48] Operation: 78-30=48
Exploring Operation: 78-29=49, Resulting Numbers: [30, 32, 49]
Generated Node #0,2: 47:[30, 32, 49] Operation: 78-29=49
Moving to Node #0,1
Current State: 47:[29, 32, 48], Operations: ['78-30=48']
Exploring Operation: 32-29=3, Resulting Numbers: [48, 3]
Generated Node #0,1,0: 47:[48, 3] Operation: 32-29=3
Exploring Operation: 48-29=19, Resulting Numbers: [32, 19]
Generated Node #0,1,1: 47:[32, 19] Operation: 48-29=19
Exploring Operation: 29+32=61, Resulting Numbers: [48, 61]
Generated Node #0,1,2: 47:[48, 61] Operation: 29+32=61
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[48, 61], Operations: ['78-30=48', '29+32=61']
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,47 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[32, 19], Operations: ['78-30=48', '48-29=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 32*19=608, Resulting Numbers: [608]
608,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[48, 3], Operations: ['78-30=48', '32-29=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[30, 32, 49], Operations: ['78-29=49']
Exploring Operation: 49-30=19, Resulting Numbers: [32, 19]
Generated Node #0,2,0: 47:[32, 19] Operation: 49-30=19
Exploring Operation: 32-30=2, Resulting Numbers: [49, 2]
Generated Node #0,2,1: 47:[49, 2] Operation: 32-30=2
Exploring Operation: 30+32=62, Resulting Numbers: [49, 62]
Generated Node #0,2,2: 47:[49, 62] Operation: 30+32=62
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[49, 62], Operations: ['78-29=49', '30+32=62']
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,47 unequal: No Solution
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[32, 19], Operations: ['78-29=49', '49-30=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 32*19=608, Resulting Numbers: [608]
608,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[49, 2], Operations: ['78-29=49', '32-30=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[30, 29, 78, 32], Operations: []
Exploring Operation: 78-29=49, Resulting Numbers: [30, 32, 49]
Generated Node #0,2: 47:[30, 32, 49] Operation: 78-29=49
Moving to Node #0,2
Current State: 47:[30, 32, 49], Operations: ['78-29=49']
Exploring Operation: 32-30=2, Resulting Numbers: [49, 2]
Generated Node #0,2,1: 47:[49, 2] Operation: 32-30=2
Moving to Node #0,2,1
Current State: 47:[49, 2], Operations: ['78-29=49', '32-30=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
9,
31,
65,
12
] | 99 | [
"31-9=22",
"65+12=77",
"22+77=99"
] | Current State: 99:[9, 31, 65, 12], Operations: []
Exploring Operation: 31-9=22, Resulting Numbers: [65, 12, 22]
Generated Node #2: [65, 12, 22] from Operation: 31-9=22
Current State: 99:[65, 12, 22], Operations: ['31-9=22']
Exploring Operation: 65+12=77, Resulting Numbers: [22, 77]
Generated Node #3: [22, 77] from Operation: 65+12=77
Current State: 99:[22, 77], Operations: ['31-9=22', '65+12=77']
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[9, 31, 65, 12], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [9, 12, 34]
Generated Node #0,0: 99:[9, 12, 34] Operation: 65-31=34
Exploring Operation: 31+65=96, Resulting Numbers: [9, 12, 96]
Generated Node #0,1: 99:[9, 12, 96] Operation: 31+65=96
Moving to Node #0,0
Current State: 99:[9, 12, 34], Operations: ['65-31=34']
Exploring Operation: 34-9=25, Resulting Numbers: [12, 25]
Generated Node #0,0,0: 99:[12, 25] Operation: 34-9=25
Exploring Operation: 12-9=3, Resulting Numbers: [34, 3]
Generated Node #0,0,1: 99:[34, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[34, 3], Operations: ['65-31=34', '12-9=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,99 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[12, 25], Operations: ['65-31=34', '34-9=25']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 99:[9, 12, 96], Operations: ['31+65=96']
Exploring Operation: 12-9=3, Resulting Numbers: [96, 3]
Generated Node #0,1,0: 99:[96, 3] Operation: 12-9=3
Exploring Operation: 96/12=8, Resulting Numbers: [9, 8]
Generated Node #0,1,1: 99:[9, 8] Operation: 96/12=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[9, 8], Operations: ['31+65=96', '96/12=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[96, 3], Operations: ['31+65=96', '12-9=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[9, 31, 65, 12], Operations: []
Exploring Operation: 31+65=96, Resulting Numbers: [9, 12, 96]
Generated Node #0,1: 99:[9, 12, 96] Operation: 31+65=96
Moving to Node #0,1
Current State: 99:[9, 12, 96], Operations: ['31+65=96']
Exploring Operation: 12-9=3, Resulting Numbers: [96, 3]
Generated Node #0,1,0: 99:[96, 3] Operation: 12-9=3
Moving to Node #0,1,0
Current State: 99:[96, 3], Operations: ['31+65=96', '12-9=3']
Exploring Operation: 96+3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
18,
1,
9,
11
] | 80 | [
"18+1=19",
"9*11=99",
"99-19=80"
] | Current State: 80:[18, 1, 9, 11], Operations: []
Exploring Operation: 18+1=19, Resulting Numbers: [9, 11, 19]
Generated Node #2: [9, 11, 19] from Operation: 18+1=19
Current State: 80:[9, 11, 19], Operations: ['18+1=19']
Exploring Operation: 9*11=99, Resulting Numbers: [19, 99]
Generated Node #3: [19, 99] from Operation: 9*11=99
Current State: 80:[19, 99], Operations: ['18+1=19', '9*11=99']
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[18, 1, 9, 11], Operations: []
Exploring Operation: 18+1=19, Resulting Numbers: [9, 11, 19]
Generated Node #0,0: 80:[9, 11, 19] Operation: 18+1=19
Exploring Operation: 18-1=17, Resulting Numbers: [9, 11, 17]
Generated Node #0,1: 80:[9, 11, 17] Operation: 18-1=17
Exploring Operation: 18/9=2, Resulting Numbers: [1, 11, 2]
Generated Node #0,2: 80:[1, 11, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [1, 11, 9]
Generated Node #0,3: 80:[1, 11, 9] Operation: 18-9=9
Moving to Node #0,2
Current State: 80:[1, 11, 2], Operations: ['18/9=2']
Exploring Operation: 1*11=11, Resulting Numbers: [2, 11]
Generated Node #0,2,0: 80:[2, 11] Operation: 1*11=11
Exploring Operation: 11/1=11, Resulting Numbers: [2, 11]
Generated Node #0,2,1: 80:[2, 11] Operation: 11/1=11
Exploring Operation: 1*2=2, Resulting Numbers: [11, 2]
Generated Node #0,2,2: 80:[11, 2] Operation: 1*2=2
Exploring Operation: 11-1=10, Resulting Numbers: [2, 10]
Generated Node #0,2,3: 80:[2, 10] Operation: 11-1=10
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 80:[2, 10], Operations: ['18/9=2', '11-1=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[2, 11], Operations: ['18/9=2', '1*11=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[2, 11], Operations: ['18/9=2', '11/1=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[11, 2], Operations: ['18/9=2', '1*2=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 80:[9, 11, 17], Operations: ['18-1=17']
Exploring Operation: 9+11=20, Resulting Numbers: [17, 20]
Generated Node #0,1,0: 80:[17, 20] Operation: 9+11=20
Exploring Operation: 11-9=2, Resulting Numbers: [17, 2]
Generated Node #0,1,1: 80:[17, 2] Operation: 11-9=2
Exploring Operation: 17-11=6, Resulting Numbers: [9, 6]
Generated Node #0,1,2: 80:[9, 6] Operation: 17-11=6
Exploring Operation: 17-9=8, Resulting Numbers: [11, 8]
Generated Node #0,1,3: 80:[11, 8] Operation: 17-9=8
Moving to Node #0,0
Current State: 80:[9, 11, 19], Operations: ['18+1=19']
Exploring Operation: 19-9=10, Resulting Numbers: [11, 10]
Generated Node #0,0,0: 80:[11, 10] Operation: 19-9=10
Exploring Operation: 19-11=8, Resulting Numbers: [9, 8]
Generated Node #0,0,1: 80:[9, 8] Operation: 19-11=8
Exploring Operation: 11-9=2, Resulting Numbers: [19, 2]
Generated Node #0,0,2: 80:[19, 2] Operation: 11-9=2
Exploring Operation: 9+11=20, Resulting Numbers: [19, 20]
Generated Node #0,0,3: 80:[19, 20] Operation: 9+11=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[11, 10], Operations: ['18+1=19', '19-9=10']
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[9, 8], Operations: ['18+1=19', '19-11=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[19, 2], Operations: ['18+1=19', '11-9=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,80 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[19, 20], Operations: ['18+1=19', '9+11=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,80 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 80:[1, 11, 9], Operations: ['18-9=9']
Exploring Operation: 11-1=10, Resulting Numbers: [9, 10]
Generated Node #0,3,0: 80:[9, 10] Operation: 11-1=10
Exploring Operation: 11+9=20, Resulting Numbers: [1, 20]
Generated Node #0,3,1: 80:[1, 20] Operation: 11+9=20
Exploring Operation: 1+9=10, Resulting Numbers: [11, 10]
Generated Node #0,3,2: 80:[11, 10] Operation: 1+9=10
Exploring Operation: 9-1=8, Resulting Numbers: [11, 8]
Generated Node #0,3,3: 80:[11, 8] Operation: 9-1=8
Moving to Node #0,1,0
Current State: 80:[17, 20], Operations: ['18-1=17', '9+11=20']
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,80 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[11, 8], Operations: ['18-1=17', '17-9=8']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,80 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[11, 10], Operations: ['18-9=9', '1+9=10']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,80 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[1, 20], Operations: ['18-9=9', '11+9=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[17, 2], Operations: ['18-1=17', '11-9=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,80 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[11, 8], Operations: ['18-9=9', '9-1=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,80 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[9, 10], Operations: ['18-9=9', '11-1=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[9, 6], Operations: ['18-1=17', '17-11=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,80 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
5,
40,
9,
57
] | 52 | [
"5+40=45",
"45/9=5",
"57-5=52"
] | Current State: 52:[5, 40, 9, 57], Operations: []
Exploring Operation: 5+40=45, Resulting Numbers: [9, 57, 45]
Generated Node #2: [9, 57, 45] from Operation: 5+40=45
Current State: 52:[9, 57, 45], Operations: ['5+40=45']
Exploring Operation: 45/9=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 45/9=5
Current State: 52:[57, 5], Operations: ['5+40=45', '45/9=5']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[5, 40, 9, 57], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [9, 57, 8]
Generated Node #0,0: 52:[9, 57, 8] Operation: 40/5=8
Exploring Operation: 40-9=31, Resulting Numbers: [5, 57, 31]
Generated Node #0,1: 52:[5, 57, 31] Operation: 40-9=31
Exploring Operation: 57-40=17, Resulting Numbers: [5, 9, 17]
Generated Node #0,2: 52:[5, 9, 17] Operation: 57-40=17
Exploring Operation: 40+9=49, Resulting Numbers: [5, 57, 49]
Generated Node #0,3: 52:[5, 57, 49] Operation: 40+9=49
Moving to Node #0,2
Current State: 52:[5, 9, 17], Operations: ['57-40=17']
Exploring Operation: 5+9=14, Resulting Numbers: [17, 14]
Generated Node #0,2,0: 52:[17, 14] Operation: 5+9=14
Exploring Operation: 9+17=26, Resulting Numbers: [5, 26]
Generated Node #0,2,1: 52:[5, 26] Operation: 9+17=26
Exploring Operation: 17-5=12, Resulting Numbers: [9, 12]
Generated Node #0,2,2: 52:[9, 12] Operation: 17-5=12
Exploring Operation: 9-5=4, Resulting Numbers: [17, 4]
Generated Node #0,2,3: 52:[17, 4] Operation: 9-5=4
Moving to Node #0,3
Current State: 52:[5, 57, 49], Operations: ['40+9=49']
Exploring Operation: 57-5=52, Resulting Numbers: [49, 52]
Generated Node #0,3,0: 52:[49, 52] Operation: 57-5=52
Exploring Operation: 5+49=54, Resulting Numbers: [57, 54]
Generated Node #0,3,1: 52:[57, 54] Operation: 5+49=54
Exploring Operation: 5+57=62, Resulting Numbers: [49, 62]
Generated Node #0,3,2: 52:[49, 62] Operation: 5+57=62
Exploring Operation: 57-49=8, Resulting Numbers: [5, 8]
Generated Node #0,3,3: 52:[5, 8] Operation: 57-49=8
Moving to Node #0,1
Current State: 52:[5, 57, 31], Operations: ['40-9=31']
Exploring Operation: 5+57=62, Resulting Numbers: [31, 62]
Generated Node #0,1,0: 52:[31, 62] Operation: 5+57=62
Exploring Operation: 57-31=26, Resulting Numbers: [5, 26]
Generated Node #0,1,1: 52:[5, 26] Operation: 57-31=26
Exploring Operation: 31-5=26, Resulting Numbers: [57, 26]
Generated Node #0,1,2: 52:[57, 26] Operation: 31-5=26
Exploring Operation: 57-5=52, Resulting Numbers: [31, 52]
Generated Node #0,1,3: 52:[31, 52] Operation: 57-5=52
Moving to Node #0,0
Current State: 52:[9, 57, 8], Operations: ['40/5=8']
Exploring Operation: 57-9=48, Resulting Numbers: [8, 48]
Generated Node #0,0,0: 52:[8, 48] Operation: 57-9=48
Exploring Operation: 9-8=1, Resulting Numbers: [57, 1]
Generated Node #0,0,1: 52:[57, 1] Operation: 9-8=1
Exploring Operation: 57-8=49, Resulting Numbers: [9, 49]
Generated Node #0,0,2: 52:[9, 49] Operation: 57-8=49
Exploring Operation: 9+8=17, Resulting Numbers: [57, 17]
Generated Node #0,0,3: 52:[57, 17] Operation: 9+8=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[57, 1], Operations: ['40/5=8', '9-8=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[9, 49], Operations: ['40/5=8', '57-8=49']
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,52 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[8, 48], Operations: ['40/5=8', '57-9=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 8*48=384, Resulting Numbers: [384]
384,52 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[57, 17], Operations: ['40/5=8', '9+8=17']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 57*17=969, Resulting Numbers: [969]
969,52 unequal: No Solution
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 52:[5, 26], Operations: ['57-40=17', '9+17=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,52 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[5, 26], Operations: ['40-9=31', '57-31=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[49, 52], Operations: ['40+9=49', '57-5=52']
Exploring Operation: 49*52=2548, Resulting Numbers: [2548]
2548,52 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 49+52=101, Resulting Numbers: [101]
101,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[17, 4], Operations: ['57-40=17', '9-5=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,52 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[17, 14], Operations: ['57-40=17', '5+9=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[5, 8], Operations: ['40+9=49', '57-49=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[57, 26], Operations: ['40-9=31', '31-5=26']
Exploring Operation: 57*26=1482, Resulting Numbers: [1482]
1482,52 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[31, 52], Operations: ['40-9=31', '57-5=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,52 unequal: No Solution
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[9, 12], Operations: ['57-40=17', '17-5=12']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[57, 54], Operations: ['40+9=49', '5+49=54']
Exploring Operation: 57*54=3078, Resulting Numbers: [3078]
3078,52 unequal: No Solution
Exploring Operation: 57+54=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[49, 62], Operations: ['40+9=49', '5+57=62']
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,52 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,52 unequal: No Solution
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[31, 62], Operations: ['40-9=31', '5+57=62']
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 31+62=93, Resulting Numbers: [93]
93,52 unequal: No Solution
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,52 unequal: No Solution
Exploring Operation: 31*62=1922, Resulting Numbers: [1922]
1922,52 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
80,
12,
40,
11
] | 97 | [
"80-12=68",
"40-11=29",
"68+29=97"
] | Current State: 97:[80, 12, 40, 11], Operations: []
Exploring Operation: 80-12=68, Resulting Numbers: [40, 11, 68]
Generated Node #2: [40, 11, 68] from Operation: 80-12=68
Current State: 97:[40, 11, 68], Operations: ['80-12=68']
Exploring Operation: 40-11=29, Resulting Numbers: [68, 29]
Generated Node #3: [68, 29] from Operation: 40-11=29
Current State: 97:[68, 29], Operations: ['80-12=68', '40-11=29']
Exploring Operation: 68+29=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[80, 12, 40, 11], Operations: []
Exploring Operation: 80+11=91, Resulting Numbers: [12, 40, 91]
Generated Node #0,0: 97:[12, 40, 91] Operation: 80+11=91
Exploring Operation: 80+12=92, Resulting Numbers: [40, 11, 92]
Generated Node #0,1: 97:[40, 11, 92] Operation: 80+12=92
Exploring Operation: 12*11=132, Resulting Numbers: [80, 40, 132]
Generated Node #0,2: 97:[80, 40, 132] Operation: 12*11=132
Exploring Operation: 12+40=52, Resulting Numbers: [80, 11, 52]
Generated Node #0,3: 97:[80, 11, 52] Operation: 12+40=52
Moving to Node #0,2
Current State: 97:[80, 40, 132], Operations: ['12*11=132']
Exploring Operation: 40+132=172, Resulting Numbers: [80, 172]
Generated Node #0,2,0: 97:[80, 172] Operation: 40+132=172
Exploring Operation: 80-40=40, Resulting Numbers: [132, 40]
Generated Node #0,2,1: 97:[132, 40] Operation: 80-40=40
Exploring Operation: 132-40=92, Resulting Numbers: [80, 92]
Generated Node #0,2,2: 97:[80, 92] Operation: 132-40=92
Exploring Operation: 80+40=120, Resulting Numbers: [132, 120]
Generated Node #0,2,3: 97:[132, 120] Operation: 80+40=120
Moving to Node #0,1
Current State: 97:[40, 11, 92], Operations: ['80+12=92']
Exploring Operation: 92-11=81, Resulting Numbers: [40, 81]
Generated Node #0,1,0: 97:[40, 81] Operation: 92-11=81
Exploring Operation: 11+92=103, Resulting Numbers: [40, 103]
Generated Node #0,1,1: 97:[40, 103] Operation: 11+92=103
Exploring Operation: 40-11=29, Resulting Numbers: [92, 29]
Generated Node #0,1,2: 97:[92, 29] Operation: 40-11=29
Exploring Operation: 40+11=51, Resulting Numbers: [92, 51]
Generated Node #0,1,3: 97:[92, 51] Operation: 40+11=51
Moving to Node #0,0
Current State: 97:[12, 40, 91], Operations: ['80+11=91']
Exploring Operation: 40-12=28, Resulting Numbers: [91, 28]
Generated Node #0,0,0: 97:[91, 28] Operation: 40-12=28
Exploring Operation: 12+91=103, Resulting Numbers: [40, 103]
Generated Node #0,0,1: 97:[40, 103] Operation: 12+91=103
Exploring Operation: 12+40=52, Resulting Numbers: [91, 52]
Generated Node #0,0,2: 97:[91, 52] Operation: 12+40=52
Exploring Operation: 91-12=79, Resulting Numbers: [40, 79]
Generated Node #0,0,3: 97:[40, 79] Operation: 91-12=79
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[91, 52], Operations: ['80+11=91', '12+40=52']
Exploring Operation: 91+52=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 91*52=4732, Resulting Numbers: [4732]
4732,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[40, 103], Operations: ['80+11=91', '12+91=103']
Exploring Operation: 40*103=4120, Resulting Numbers: [4120]
4120,97 unequal: No Solution
Exploring Operation: 40+103=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 103-40=63, Resulting Numbers: [63]
63,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[91, 28], Operations: ['80+11=91', '40-12=28']
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,97 unequal: No Solution
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[40, 79], Operations: ['80+11=91', '91-12=79']
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 40+79=119, Resulting Numbers: [119]
119,97 unequal: No Solution
Exploring Operation: 40*79=3160, Resulting Numbers: [3160]
3160,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 97:[80, 11, 52], Operations: ['12+40=52']
Exploring Operation: 80+11=91, Resulting Numbers: [52, 91]
Generated Node #0,3,0: 97:[52, 91] Operation: 80+11=91
Exploring Operation: 52-11=41, Resulting Numbers: [80, 41]
Generated Node #0,3,1: 97:[80, 41] Operation: 52-11=41
Exploring Operation: 11+52=63, Resulting Numbers: [80, 63]
Generated Node #0,3,2: 97:[80, 63] Operation: 11+52=63
Exploring Operation: 80-11=69, Resulting Numbers: [52, 69]
Generated Node #0,3,3: 97:[52, 69] Operation: 80-11=69
Moving to Node #0,2,2
Current State: 97:[80, 92], Operations: ['12*11=132', '132-40=92']
Exploring Operation: 80+92=172, Resulting Numbers: [172]
172,97 unequal: No Solution
Exploring Operation: 92-80=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 80*92=7360, Resulting Numbers: [7360]
7360,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[92, 51], Operations: ['80+12=92', '40+11=51']
Exploring Operation: 92*51=4692, Resulting Numbers: [4692]
4692,97 unequal: No Solution
Exploring Operation: 92+51=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 92-51=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[80, 63], Operations: ['12+40=52', '11+52=63']
Exploring Operation: 80*63=5040, Resulting Numbers: [5040]
5040,97 unequal: No Solution
Exploring Operation: 80+63=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[52, 91], Operations: ['12+40=52', '80+11=91']
Exploring Operation: 52*91=4732, Resulting Numbers: [4732]
4732,97 unequal: No Solution
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 52+91=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[132, 120], Operations: ['12*11=132', '80+40=120']
Exploring Operation: 132*120=15840, Resulting Numbers: [15840]
15840,97 unequal: No Solution
Exploring Operation: 132-120=12, Resulting Numbers: [12]
12,97 unequal: No Solution
Exploring Operation: 132+120=252, Resulting Numbers: [252]
252,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[40, 103], Operations: ['80+12=92', '11+92=103']
Exploring Operation: 40+103=143, Resulting Numbers: [143]
143,97 unequal: No Solution
Exploring Operation: 40*103=4120, Resulting Numbers: [4120]
4120,97 unequal: No Solution
Exploring Operation: 103-40=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[40, 81], Operations: ['80+12=92', '92-11=81']
Exploring Operation: 40*81=3240, Resulting Numbers: [3240]
3240,97 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[52, 69], Operations: ['12+40=52', '80-11=69']
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 52+69=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 52*69=3588, Resulting Numbers: [3588]
3588,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[92, 29], Operations: ['80+12=92', '40-11=29']
Exploring Operation: 92-29=63, Resulting Numbers: [63]
63,97 unequal: No Solution
Exploring Operation: 92+29=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 92*29=2668, Resulting Numbers: [2668]
2668,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[80, 41], Operations: ['12+40=52', '52-11=41']
Exploring Operation: 80+41=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 80*41=3280, Resulting Numbers: [3280]
3280,97 unequal: No Solution
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[80, 172], Operations: ['12*11=132', '40+132=172']
Exploring Operation: 172-80=92, Resulting Numbers: [92]
92,97 unequal: No Solution
Exploring Operation: 80+172=252, Resulting Numbers: [252]
252,97 unequal: No Solution
Exploring Operation: 80*172=13760, Resulting Numbers: [13760]
13760,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[132, 40], Operations: ['12*11=132', '80-40=40']
Exploring Operation: 132-40=92, Resulting Numbers: [92]
92,97 unequal: No Solution
Exploring Operation: 132+40=172, Resulting Numbers: [172]
172,97 unequal: No Solution
Exploring Operation: 132*40=5280, Resulting Numbers: [5280]
5280,97 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
32,
78,
77,
37
] | 31 | [
"37-32=5",
"78+77=155",
"155/5=31"
] | Current State: 31:[32, 78, 77, 37], Operations: []
Exploring Operation: 37-32=5, Resulting Numbers: [78, 77, 5]
Generated Node #2: [78, 77, 5] from Operation: 37-32=5
Current State: 31:[78, 77, 5], Operations: ['37-32=5']
Exploring Operation: 78+77=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 78+77=155
Current State: 31:[5, 155], Operations: ['37-32=5', '78+77=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[32, 78, 77, 37], Operations: []
Exploring Operation: 78-32=46, Resulting Numbers: [77, 37, 46]
Generated Node #0,0: 31:[77, 37, 46] Operation: 78-32=46
Exploring Operation: 78-77=1, Resulting Numbers: [32, 37, 1]
Generated Node #0,1: 31:[32, 37, 1] Operation: 78-77=1
Exploring Operation: 77-37=40, Resulting Numbers: [32, 78, 40]
Generated Node #0,2: 31:[32, 78, 40] Operation: 77-37=40
Exploring Operation: 78-37=41, Resulting Numbers: [32, 77, 41]
Generated Node #0,3: 31:[32, 77, 41] Operation: 78-37=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[32, 37, 1], Operations: ['78-77=1']
Exploring Operation: 32/1=32, Resulting Numbers: [37, 32]
Generated Node #0,1,0: 31:[37, 32] Operation: 32/1=32
Exploring Operation: 32-1=31, Resulting Numbers: [37, 31]
Generated Node #0,1,1: 31:[37, 31] Operation: 32-1=31
Exploring Operation: 37-1=36, Resulting Numbers: [32, 36]
Generated Node #0,1,2: 31:[32, 36] Operation: 37-1=36
Exploring Operation: 32*1=32, Resulting Numbers: [37, 32]
Generated Node #0,1,3: 31:[37, 32] Operation: 32*1=32
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[37, 31], Operations: ['78-77=1', '32-1=31']
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[32, 36], Operations: ['78-77=1', '37-1=36']
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,31 unequal: No Solution
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 31:[37, 32], Operations: ['78-77=1', '32/1=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,31 unequal: No Solution
Exploring Operation: 37*32=1184, Resulting Numbers: [1184]
1184,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 31:[37, 32], Operations: ['78-77=1', '32*1=32']
Exploring Operation: 37*32=1184, Resulting Numbers: [1184]
1184,31 unequal: No Solution
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,31 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[32, 78, 40], Operations: ['77-37=40']
Exploring Operation: 32+78=110, Resulting Numbers: [40, 110]
Generated Node #0,2,0: 31:[40, 110] Operation: 32+78=110
Exploring Operation: 78-32=46, Resulting Numbers: [40, 46]
Generated Node #0,2,1: 31:[40, 46] Operation: 78-32=46
Exploring Operation: 78-40=38, Resulting Numbers: [32, 38]
Generated Node #0,2,2: 31:[32, 38] Operation: 78-40=38
Exploring Operation: 40-32=8, Resulting Numbers: [78, 8]
Generated Node #0,2,3: 31:[78, 8] Operation: 40-32=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[32, 38], Operations: ['77-37=40', '78-40=38']
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[40, 46], Operations: ['77-37=40', '78-32=46']
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 40*46=1840, Resulting Numbers: [1840]
1840,31 unequal: No Solution
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 31:[78, 8], Operations: ['77-37=40', '40-32=8']
Exploring Operation: 78*8=624, Resulting Numbers: [624]
624,31 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 78+8=86, Resulting Numbers: [86]
86,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[40, 110], Operations: ['77-37=40', '32+78=110']
Exploring Operation: 110-40=70, Resulting Numbers: [70]
70,31 unequal: No Solution
Exploring Operation: 40*110=4400, Resulting Numbers: [4400]
4400,31 unequal: No Solution
Exploring Operation: 40+110=150, Resulting Numbers: [150]
150,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[32, 77, 41], Operations: ['78-37=41']
Exploring Operation: 32+77=109, Resulting Numbers: [41, 109]
Generated Node #0,3,0: 31:[41, 109] Operation: 32+77=109
Exploring Operation: 41-32=9, Resulting Numbers: [77, 9]
Generated Node #0,3,1: 31:[77, 9] Operation: 41-32=9
Exploring Operation: 77-41=36, Resulting Numbers: [32, 36]
Generated Node #0,3,2: 31:[32, 36] Operation: 77-41=36
Exploring Operation: 77-32=45, Resulting Numbers: [41, 45]
Generated Node #0,3,3: 31:[41, 45] Operation: 77-32=45
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 31:[32, 36], Operations: ['78-37=41', '77-41=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 31:[41, 45], Operations: ['78-37=41', '77-32=45']
Exploring Operation: 41*45=1845, Resulting Numbers: [1845]
1845,31 unequal: No Solution
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 31:[77, 9], Operations: ['78-37=41', '41-32=9']
Exploring Operation: 77*9=693, Resulting Numbers: [693]
693,31 unequal: No Solution
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 31:[41, 109], Operations: ['78-37=41', '32+77=109']
Exploring Operation: 109-41=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 41+109=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 41*109=4469, Resulting Numbers: [4469]
4469,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[77, 37, 46], Operations: ['78-32=46']
Exploring Operation: 46-37=9, Resulting Numbers: [77, 9]
Generated Node #0,0,0: 31:[77, 9] Operation: 46-37=9
Exploring Operation: 77+37=114, Resulting Numbers: [46, 114]
Generated Node #0,0,1: 31:[46, 114] Operation: 77+37=114
Exploring Operation: 77-37=40, Resulting Numbers: [46, 40]
Generated Node #0,0,2: 31:[46, 40] Operation: 77-37=40
Exploring Operation: 77-46=31, Resulting Numbers: [37, 31]
Generated Node #0,0,3: 31:[37, 31] Operation: 77-46=31
Moving to Node #0,0,3
Current State: 31:[37, 31], Operations: ['78-32=46', '77-46=31']
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[46, 40], Operations: ['78-32=46', '77-37=40']
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 46*40=1840, Resulting Numbers: [1840]
1840,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[77, 9], Operations: ['78-32=46', '46-37=9']
Exploring Operation: 77*9=693, Resulting Numbers: [693]
693,31 unequal: No Solution
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[46, 114], Operations: ['78-32=46', '77+37=114']
Exploring Operation: 46*114=5244, Resulting Numbers: [5244]
5244,31 unequal: No Solution
Exploring Operation: 46+114=160, Resulting Numbers: [160]
160,31 unequal: No Solution
Exploring Operation: 114-46=68, Resulting Numbers: [68]
68,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
90,
91,
61,
6
] | 55 | [
"91-90=1",
"61-6=55",
"1*55=55"
] | Current State: 55:[90, 91, 61, 6], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [61, 6, 1]
Generated Node #2: [61, 6, 1] from Operation: 91-90=1
Current State: 55:[61, 6, 1], Operations: ['91-90=1']
Exploring Operation: 61-6=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 61-6=55
Current State: 55:[1, 55], Operations: ['91-90=1', '61-6=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[90, 91, 61, 6], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [61, 6, 1]
Generated Node #0,0: 55:[61, 6, 1] Operation: 91-90=1
Exploring Operation: 90/6=15, Resulting Numbers: [91, 61, 15]
Generated Node #0,1: 55:[91, 61, 15] Operation: 90/6=15
Exploring Operation: 90-61=29, Resulting Numbers: [91, 6, 29]
Generated Node #0,2: 55:[91, 6, 29] Operation: 90-61=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[61, 6, 1], Operations: ['91-90=1']
Exploring Operation: 6-1=5, Resulting Numbers: [61, 5]
Generated Node #0,0,0: 55:[61, 5] Operation: 6-1=5
Exploring Operation: 61-6=55, Resulting Numbers: [1, 55]
Generated Node #0,0,1: 55:[1, 55] Operation: 61-6=55
Exploring Operation: 61-1=60, Resulting Numbers: [6, 60]
Generated Node #0,0,2: 55:[6, 60] Operation: 61-1=60
Moving to Node #0,0,1
Current State: 55:[1, 55], Operations: ['91-90=1', '61-6=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[90, 91, 61, 6], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [61, 6, 1]
Generated Node #0,0: 55:[61, 6, 1] Operation: 91-90=1
Moving to Node #0,0
Current State: 55:[61, 6, 1], Operations: ['91-90=1']
Exploring Operation: 61-6=55, Resulting Numbers: [1, 55]
Generated Node #0,0,1: 55:[1, 55] Operation: 61-6=55
Moving to Node #0,0,1
Current State: 55:[1, 55], Operations: ['91-90=1', '61-6=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
63,
13,
10,
88
] | 67 | [
"13-10=3",
"63/3=21",
"88-21=67"
] | Current State: 67:[63, 13, 10, 88], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [63, 88, 3]
Generated Node #2: [63, 88, 3] from Operation: 13-10=3
Current State: 67:[63, 88, 3], Operations: ['13-10=3']
Exploring Operation: 63/3=21, Resulting Numbers: [88, 21]
Generated Node #3: [88, 21] from Operation: 63/3=21
Current State: 67:[88, 21], Operations: ['13-10=3', '63/3=21']
Exploring Operation: 88-21=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[63, 13, 10, 88], Operations: []
Exploring Operation: 13+10=23, Resulting Numbers: [63, 88, 23]
Generated Node #0,0: 67:[63, 88, 23] Operation: 13+10=23
Moving to Node #0,0
Current State: 67:[63, 88, 23], Operations: ['13+10=23']
Exploring Operation: 88-23=65, Resulting Numbers: [63, 65]
Generated Node #0,0,0: 67:[63, 65] Operation: 88-23=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[63, 65], Operations: ['13+10=23', '88-23=65']
Exploring Operation: 63+65=128, Resulting Numbers: [128]
128,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
48,
98,
26
] | 16 | [
"92+48=140",
"98+26=124",
"140-124=16"
] | Current State: 16:[92, 48, 98, 26], Operations: []
Exploring Operation: 92+48=140, Resulting Numbers: [98, 26, 140]
Generated Node #2: [98, 26, 140] from Operation: 92+48=140
Current State: 16:[98, 26, 140], Operations: ['92+48=140']
Exploring Operation: 98+26=124, Resulting Numbers: [140, 124]
Generated Node #3: [140, 124] from Operation: 98+26=124
Current State: 16:[140, 124], Operations: ['92+48=140', '98+26=124']
Exploring Operation: 140-124=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[92, 48, 98, 26], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [48, 26, 6]
Generated Node #0,0: 16:[48, 26, 6] Operation: 98-92=6
Exploring Operation: 92-48=44, Resulting Numbers: [98, 26, 44]
Generated Node #0,1: 16:[98, 26, 44] Operation: 92-48=44
Exploring Operation: 98-48=50, Resulting Numbers: [92, 26, 50]
Generated Node #0,2: 16:[92, 26, 50] Operation: 98-48=50
Moving to Node #0,0
Current State: 16:[48, 26, 6], Operations: ['98-92=6']
Exploring Operation: 48/6=8, Resulting Numbers: [26, 8]
Generated Node #0,0,0: 16:[26, 8] Operation: 48/6=8
Exploring Operation: 48-6=42, Resulting Numbers: [26, 42]
Generated Node #0,0,1: 16:[26, 42] Operation: 48-6=42
Exploring Operation: 48-26=22, Resulting Numbers: [6, 22]
Generated Node #0,0,2: 16:[6, 22] Operation: 48-26=22
Moving to Node #0,1
Current State: 16:[98, 26, 44], Operations: ['92-48=44']
Exploring Operation: 98-44=54, Resulting Numbers: [26, 54]
Generated Node #0,1,0: 16:[26, 54] Operation: 98-44=54
Exploring Operation: 98-26=72, Resulting Numbers: [44, 72]
Generated Node #0,1,1: 16:[44, 72] Operation: 98-26=72
Exploring Operation: 44-26=18, Resulting Numbers: [98, 18]
Generated Node #0,1,2: 16:[98, 18] Operation: 44-26=18
Moving to Node #0,2
Current State: 16:[92, 26, 50], Operations: ['98-48=50']
Exploring Operation: 92-26=66, Resulting Numbers: [50, 66]
Generated Node #0,2,0: 16:[50, 66] Operation: 92-26=66
Exploring Operation: 92-50=42, Resulting Numbers: [26, 42]
Generated Node #0,2,1: 16:[26, 42] Operation: 92-50=42
Exploring Operation: 50-26=24, Resulting Numbers: [92, 24]
Generated Node #0,2,2: 16:[92, 24] Operation: 50-26=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[26, 42], Operations: ['98-48=50', '92-50=42']
Exploring Operation: 26*42=1092, Resulting Numbers: [1092]
1092,16 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[92, 48, 98, 26], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [92, 26, 50]
Generated Node #0,2: 16:[92, 26, 50] Operation: 98-48=50
Moving to Node #0,2
Current State: 16:[92, 26, 50], Operations: ['98-48=50']
Exploring Operation: 92-50=42, Resulting Numbers: [26, 42]
Generated Node #0,2,1: 16:[26, 42] Operation: 92-50=42
Moving to Node #0,2,1
Current State: 16:[26, 42], Operations: ['98-48=50', '92-50=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
2,
54,
80,
18
] | 32 | [
"80/2=40",
"54+18=72",
"72-40=32"
] | Current State: 32:[2, 54, 80, 18], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [54, 18, 40]
Generated Node #2: [54, 18, 40] from Operation: 80/2=40
Current State: 32:[54, 18, 40], Operations: ['80/2=40']
Exploring Operation: 54+18=72, Resulting Numbers: [40, 72]
Generated Node #3: [40, 72] from Operation: 54+18=72
Current State: 32:[40, 72], Operations: ['80/2=40', '54+18=72']
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[2, 54, 80, 18], Operations: []
Exploring Operation: 80-54=26, Resulting Numbers: [2, 18, 26]
Generated Node #0,0: 32:[2, 18, 26] Operation: 80-54=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[2, 18, 26], Operations: ['80-54=26']
Exploring Operation: 26-18=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 32:[2, 8] Operation: 26-18=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[2, 8], Operations: ['80-54=26', '26-18=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
43,
47,
8,
76
] | 21 | [
"47-43=4",
"8+76=84",
"84/4=21"
] | Current State: 21:[43, 47, 8, 76], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [8, 76, 4]
Generated Node #2: [8, 76, 4] from Operation: 47-43=4
Current State: 21:[8, 76, 4], Operations: ['47-43=4']
Exploring Operation: 8+76=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 8+76=84
Current State: 21:[4, 84], Operations: ['47-43=4', '8+76=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[43, 47, 8, 76], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [8, 76, 4]
Generated Node #0,0: 21:[8, 76, 4] Operation: 47-43=4
Exploring Operation: 76-43=33, Resulting Numbers: [47, 8, 33]
Generated Node #0,1: 21:[47, 8, 33] Operation: 76-43=33
Exploring Operation: 76-47=29, Resulting Numbers: [43, 8, 29]
Generated Node #0,2: 21:[43, 8, 29] Operation: 76-47=29
Exploring Operation: 43-8=35, Resulting Numbers: [47, 76, 35]
Generated Node #0,3: 21:[47, 76, 35] Operation: 43-8=35
Moving to Node #0,2
Current State: 21:[43, 8, 29], Operations: ['76-47=29']
Exploring Operation: 43-29=14, Resulting Numbers: [8, 14]
Generated Node #0,2,0: 21:[8, 14] Operation: 43-29=14
Exploring Operation: 29-8=21, Resulting Numbers: [43, 21]
Generated Node #0,2,1: 21:[43, 21] Operation: 29-8=21
Exploring Operation: 43-8=35, Resulting Numbers: [29, 35]
Generated Node #0,2,2: 21:[29, 35] Operation: 43-8=35
Exploring Operation: 43+8=51, Resulting Numbers: [29, 51]
Generated Node #0,2,3: 21:[29, 51] Operation: 43+8=51
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[8, 14], Operations: ['76-47=29', '43-29=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[43, 21], Operations: ['76-47=29', '29-8=21']
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,21 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[29, 35], Operations: ['76-47=29', '43-8=35']
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 29+35=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 29*35=1015, Resulting Numbers: [1015]
1015,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[29, 51], Operations: ['76-47=29', '43+8=51']
Exploring Operation: 29+51=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 29*51=1479, Resulting Numbers: [1479]
1479,21 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 21:[47, 8, 33], Operations: ['76-43=33']
Exploring Operation: 33-8=25, Resulting Numbers: [47, 25]
Generated Node #0,1,0: 21:[47, 25] Operation: 33-8=25
Exploring Operation: 47-33=14, Resulting Numbers: [8, 14]
Generated Node #0,1,1: 21:[8, 14] Operation: 47-33=14
Exploring Operation: 47+8=55, Resulting Numbers: [33, 55]
Generated Node #0,1,2: 21:[33, 55] Operation: 47+8=55
Exploring Operation: 47-8=39, Resulting Numbers: [33, 39]
Generated Node #0,1,3: 21:[33, 39] Operation: 47-8=39
Moving to Node #0,0
Current State: 21:[8, 76, 4], Operations: ['47-43=4']
Exploring Operation: 76-8=68, Resulting Numbers: [4, 68]
Generated Node #0,0,0: 21:[4, 68] Operation: 76-8=68
Exploring Operation: 76-4=72, Resulting Numbers: [8, 72]
Generated Node #0,0,1: 21:[8, 72] Operation: 76-4=72
Exploring Operation: 8-4=4, Resulting Numbers: [76, 4]
Generated Node #0,0,2: 21:[76, 4] Operation: 8-4=4
Exploring Operation: 76/4=19, Resulting Numbers: [8, 19]
Generated Node #0,0,3: 21:[8, 19] Operation: 76/4=19
Moving to Node #0,3
Current State: 21:[47, 76, 35], Operations: ['43-8=35']
Exploring Operation: 47-35=12, Resulting Numbers: [76, 12]
Generated Node #0,3,0: 21:[76, 12] Operation: 47-35=12
Exploring Operation: 76-35=41, Resulting Numbers: [47, 41]
Generated Node #0,3,1: 21:[47, 41] Operation: 76-35=41
Exploring Operation: 76-47=29, Resulting Numbers: [35, 29]
Generated Node #0,3,2: 21:[35, 29] Operation: 76-47=29
Exploring Operation: 47+76=123, Resulting Numbers: [35, 123]
Generated Node #0,3,3: 21:[35, 123] Operation: 47+76=123
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 21:[35, 29], Operations: ['43-8=35', '76-47=29']
Exploring Operation: 35+29=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 35*29=1015, Resulting Numbers: [1015]
1015,21 unequal: No Solution
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 21:[47, 41], Operations: ['43-8=35', '76-35=41']
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 47*41=1927, Resulting Numbers: [1927]
1927,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 21:[76, 12], Operations: ['43-8=35', '47-35=12']
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 76*12=912, Resulting Numbers: [912]
912,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 21:[35, 123], Operations: ['43-8=35', '47+76=123']
Exploring Operation: 35*123=4305, Resulting Numbers: [4305]
4305,21 unequal: No Solution
Exploring Operation: 123-35=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Exploring Operation: 35+123=158, Resulting Numbers: [158]
158,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 21:[8, 19], Operations: ['47-43=4', '76/4=19']
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,21 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[8, 14], Operations: ['76-43=33', '47-33=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,21 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[33, 39], Operations: ['76-43=33', '47-8=39']
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,21 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[47, 25], Operations: ['76-43=33', '33-8=25']
Exploring Operation: 47+25=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 47*25=1175, Resulting Numbers: [1175]
1175,21 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[33, 55], Operations: ['76-43=33', '47+8=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,21 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[4, 68], Operations: ['47-43=4', '76-8=68']
Exploring Operation: 4*68=272, Resulting Numbers: [272]
272,21 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[8, 72], Operations: ['47-43=4', '76-4=72']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,21 unequal: No Solution
Exploring Operation: 8*72=576, Resulting Numbers: [576]
576,21 unequal: No Solution
Exploring Operation: 8+72=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[76, 4], Operations: ['47-43=4', '8-4=4']
Exploring Operation: 76*4=304, Resulting Numbers: [304]
304,21 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,21 unequal: No Solution
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,21 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
20,
34,
19,
27
] | 100 | [
"20+34=54",
"19+27=46",
"54+46=100"
] | Current State: 100:[20, 34, 19, 27], Operations: []
Exploring Operation: 20+34=54, Resulting Numbers: [19, 27, 54]
Generated Node #2: [19, 27, 54] from Operation: 20+34=54
Current State: 100:[19, 27, 54], Operations: ['20+34=54']
Exploring Operation: 19+27=46, Resulting Numbers: [54, 46]
Generated Node #3: [54, 46] from Operation: 19+27=46
Current State: 100:[54, 46], Operations: ['20+34=54', '19+27=46']
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[20, 34, 19, 27], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [20, 19, 7]
Generated Node #0,0: 100:[20, 19, 7] Operation: 34-27=7
Moving to Node #0,0
Current State: 100:[20, 19, 7], Operations: ['34-27=7']
Exploring Operation: 19+7=26, Resulting Numbers: [20, 26]
Generated Node #0,0,0: 100:[20, 26] Operation: 19+7=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[20, 26], Operations: ['34-27=7', '19+7=26']
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
72,
22,
38,
40
] | 92 | [
"72+22=94",
"40-38=2",
"94-2=92"
] | Current State: 92:[72, 22, 38, 40], Operations: []
Exploring Operation: 72+22=94, Resulting Numbers: [38, 40, 94]
Generated Node #2: [38, 40, 94] from Operation: 72+22=94
Current State: 92:[38, 40, 94], Operations: ['72+22=94']
Exploring Operation: 40-38=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 40-38=2
Current State: 92:[94, 2], Operations: ['72+22=94', '40-38=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[72, 22, 38, 40], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [22, 40, 34]
Generated Node #0,0: 92:[22, 40, 34] Operation: 72-38=34
Exploring Operation: 72+22=94, Resulting Numbers: [38, 40, 94]
Generated Node #0,1: 92:[38, 40, 94] Operation: 72+22=94
Exploring Operation: 72-22=50, Resulting Numbers: [38, 40, 50]
Generated Node #0,2: 92:[38, 40, 50] Operation: 72-22=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[38, 40, 94], Operations: ['72+22=94']
Exploring Operation: 38+40=78, Resulting Numbers: [94, 78]
Generated Node #0,1,0: 92:[94, 78] Operation: 38+40=78
Exploring Operation: 94-38=56, Resulting Numbers: [40, 56]
Generated Node #0,1,1: 92:[40, 56] Operation: 94-38=56
Exploring Operation: 40-38=2, Resulting Numbers: [94, 2]
Generated Node #0,1,2: 92:[94, 2] Operation: 40-38=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[94, 2], Operations: ['72+22=94', '40-38=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[72, 22, 38, 40], Operations: []
Exploring Operation: 72+22=94, Resulting Numbers: [38, 40, 94]
Generated Node #0,1: 92:[38, 40, 94] Operation: 72+22=94
Moving to Node #0,1
Current State: 92:[38, 40, 94], Operations: ['72+22=94']
Exploring Operation: 40-38=2, Resulting Numbers: [94, 2]
Generated Node #0,1,2: 92:[94, 2] Operation: 40-38=2
Moving to Node #0,1,2
Current State: 92:[94, 2], Operations: ['72+22=94', '40-38=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
48,
75,
39,
20
] | 46 | [
"75-48=27",
"39-20=19",
"27+19=46"
] | Current State: 46:[48, 75, 39, 20], Operations: []
Exploring Operation: 75-48=27, Resulting Numbers: [39, 20, 27]
Generated Node #2: [39, 20, 27] from Operation: 75-48=27
Current State: 46:[39, 20, 27], Operations: ['75-48=27']
Exploring Operation: 39-20=19, Resulting Numbers: [27, 19]
Generated Node #3: [27, 19] from Operation: 39-20=19
Current State: 46:[27, 19], Operations: ['75-48=27', '39-20=19']
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[48, 75, 39, 20], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [75, 20, 9]
Generated Node #0,0: 46:[75, 20, 9] Operation: 48-39=9
Exploring Operation: 75-48=27, Resulting Numbers: [39, 20, 27]
Generated Node #0,1: 46:[39, 20, 27] Operation: 75-48=27
Exploring Operation: 75-39=36, Resulting Numbers: [48, 20, 36]
Generated Node #0,2: 46:[48, 20, 36] Operation: 75-39=36
Exploring Operation: 75-20=55, Resulting Numbers: [48, 39, 55]
Generated Node #0,3: 46:[48, 39, 55] Operation: 75-20=55
Exploring Operation: 39-20=19, Resulting Numbers: [48, 75, 19]
Generated Node #0,4: 46:[48, 75, 19] Operation: 39-20=19
Moving to Node #0,1
Current State: 46:[39, 20, 27], Operations: ['75-48=27']
Exploring Operation: 39-20=19, Resulting Numbers: [27, 19]
Generated Node #0,1,0: 46:[27, 19] Operation: 39-20=19
Exploring Operation: 20+27=47, Resulting Numbers: [39, 47]
Generated Node #0,1,1: 46:[39, 47] Operation: 20+27=47
Exploring Operation: 27-20=7, Resulting Numbers: [39, 7]
Generated Node #0,1,2: 46:[39, 7] Operation: 27-20=7
Exploring Operation: 39+20=59, Resulting Numbers: [27, 59]
Generated Node #0,1,3: 46:[27, 59] Operation: 39+20=59
Exploring Operation: 39-27=12, Resulting Numbers: [20, 12]
Generated Node #0,1,4: 46:[20, 12] Operation: 39-27=12
Moving to Node #0,2
Current State: 46:[48, 20, 36], Operations: ['75-39=36']
Exploring Operation: 48-36=12, Resulting Numbers: [20, 12]
Generated Node #0,2,0: 46:[20, 12] Operation: 48-36=12
Exploring Operation: 36-20=16, Resulting Numbers: [48, 16]
Generated Node #0,2,1: 46:[48, 16] Operation: 36-20=16
Exploring Operation: 20+36=56, Resulting Numbers: [48, 56]
Generated Node #0,2,2: 46:[48, 56] Operation: 20+36=56
Exploring Operation: 48+20=68, Resulting Numbers: [36, 68]
Generated Node #0,2,3: 46:[36, 68] Operation: 48+20=68
Exploring Operation: 48-20=28, Resulting Numbers: [36, 28]
Generated Node #0,2,4: 46:[36, 28] Operation: 48-20=28
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 46:[48, 16], Operations: ['75-39=36', '36-20=16']
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 48+16=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 48*16=768, Resulting Numbers: [768]
768,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[48, 56], Operations: ['75-39=36', '20+36=56']
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,46 unequal: No Solution
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[20, 12], Operations: ['75-39=36', '48-36=12']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,46 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,46 unequal: No Solution
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 46:[36, 28], Operations: ['75-39=36', '48-20=28']
Exploring Operation: 36*28=1008, Resulting Numbers: [1008]
1008,46 unequal: No Solution
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 46:[36, 68], Operations: ['75-39=36', '48+20=68']
Exploring Operation: 36*68=2448, Resulting Numbers: [2448]
2448,46 unequal: No Solution
Exploring Operation: 36+68=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 68-36=32, Resulting Numbers: [32]
32,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 46:[48, 39, 55], Operations: ['75-20=55']
Exploring Operation: 48-39=9, Resulting Numbers: [55, 9]
Generated Node #0,3,0: 46:[55, 9] Operation: 48-39=9
Exploring Operation: 39+55=94, Resulting Numbers: [48, 94]
Generated Node #0,3,1: 46:[48, 94] Operation: 39+55=94
Exploring Operation: 48+39=87, Resulting Numbers: [55, 87]
Generated Node #0,3,2: 46:[55, 87] Operation: 48+39=87
Exploring Operation: 55-48=7, Resulting Numbers: [39, 7]
Generated Node #0,3,3: 46:[39, 7] Operation: 55-48=7
Exploring Operation: 55-39=16, Resulting Numbers: [48, 16]
Generated Node #0,3,4: 46:[48, 16] Operation: 55-39=16
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 46:[48, 16], Operations: ['75-20=55', '55-39=16']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,46 unequal: No Solution
Exploring Operation: 48*16=768, Resulting Numbers: [768]
768,46 unequal: No Solution
Exploring Operation: 48+16=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[39, 7], Operations: ['75-20=55', '55-48=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[48, 75, 39, 20], Operations: []
Exploring Operation: 75-20=55, Resulting Numbers: [48, 39, 55]
Generated Node #0,3: 46:[48, 39, 55] Operation: 75-20=55
Moving to Node #0,3
Current State: 46:[48, 39, 55], Operations: ['75-20=55']
Exploring Operation: 55-48=7, Resulting Numbers: [39, 7]
Generated Node #0,3,3: 46:[39, 7] Operation: 55-48=7
Moving to Node #0,3,3
Current State: 46:[39, 7], Operations: ['75-20=55', '55-48=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
42,
39,
72,
82
] | 73 | [
"42+39=81",
"72+82=154",
"154-81=73"
] | Current State: 73:[42, 39, 72, 82], Operations: []
Exploring Operation: 42+39=81, Resulting Numbers: [72, 82, 81]
Generated Node #2: [72, 82, 81] from Operation: 42+39=81
Current State: 73:[72, 82, 81], Operations: ['42+39=81']
Exploring Operation: 72+82=154, Resulting Numbers: [81, 154]
Generated Node #3: [81, 154] from Operation: 72+82=154
Current State: 73:[81, 154], Operations: ['42+39=81', '72+82=154']
Exploring Operation: 154-81=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[42, 39, 72, 82], Operations: []
Exploring Operation: 82-39=43, Resulting Numbers: [42, 72, 43]
Generated Node #0,0: 73:[42, 72, 43] Operation: 82-39=43
Exploring Operation: 42+39=81, Resulting Numbers: [72, 82, 81]
Generated Node #0,1: 73:[72, 82, 81] Operation: 42+39=81
Exploring Operation: 82-42=40, Resulting Numbers: [39, 72, 40]
Generated Node #0,2: 73:[39, 72, 40] Operation: 82-42=40
Exploring Operation: 39+72=111, Resulting Numbers: [42, 82, 111]
Generated Node #0,3: 73:[42, 82, 111] Operation: 39+72=111
Moving to Node #0,1
Current State: 73:[72, 82, 81], Operations: ['42+39=81']
Exploring Operation: 81-72=9, Resulting Numbers: [82, 9]
Generated Node #0,1,0: 73:[82, 9] Operation: 81-72=9
Exploring Operation: 82-81=1, Resulting Numbers: [72, 1]
Generated Node #0,1,1: 73:[72, 1] Operation: 82-81=1
Exploring Operation: 72+82=154, Resulting Numbers: [81, 154]
Generated Node #0,1,2: 73:[81, 154] Operation: 72+82=154
Exploring Operation: 82-72=10, Resulting Numbers: [81, 10]
Generated Node #0,1,3: 73:[81, 10] Operation: 82-72=10
Moving to Node #0,0
Current State: 73:[42, 72, 43], Operations: ['82-39=43']
Exploring Operation: 43-42=1, Resulting Numbers: [72, 1]
Generated Node #0,0,0: 73:[72, 1] Operation: 43-42=1
Exploring Operation: 42+43=85, Resulting Numbers: [72, 85]
Generated Node #0,0,1: 73:[72, 85] Operation: 42+43=85
Exploring Operation: 72-42=30, Resulting Numbers: [43, 30]
Generated Node #0,0,2: 73:[43, 30] Operation: 72-42=30
Exploring Operation: 42+72=114, Resulting Numbers: [43, 114]
Generated Node #0,0,3: 73:[43, 114] Operation: 42+72=114
Moving to Node #0,2
Current State: 73:[39, 72, 40], Operations: ['82-42=40']
Exploring Operation: 72-39=33, Resulting Numbers: [40, 33]
Generated Node #0,2,0: 73:[40, 33] Operation: 72-39=33
Exploring Operation: 39+40=79, Resulting Numbers: [72, 79]
Generated Node #0,2,1: 73:[72, 79] Operation: 39+40=79
Exploring Operation: 40-39=1, Resulting Numbers: [72, 1]
Generated Node #0,2,2: 73:[72, 1] Operation: 40-39=1
Exploring Operation: 39+72=111, Resulting Numbers: [40, 111]
Generated Node #0,2,3: 73:[40, 111] Operation: 39+72=111
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[72, 79], Operations: ['82-42=40', '39+40=79']
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,73 unequal: No Solution
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[40, 111], Operations: ['82-42=40', '39+72=111']
Exploring Operation: 40+111=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 40*111=4440, Resulting Numbers: [4440]
4440,73 unequal: No Solution
Exploring Operation: 111-40=71, Resulting Numbers: [71]
71,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[40, 33], Operations: ['82-42=40', '72-39=33']
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,73 unequal: No Solution
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[42, 39, 72, 82], Operations: []
Exploring Operation: 82-42=40, Resulting Numbers: [39, 72, 40]
Generated Node #0,2: 73:[39, 72, 40] Operation: 82-42=40
Moving to Node #0,2
Current State: 73:[39, 72, 40], Operations: ['82-42=40']
Exploring Operation: 72-39=33, Resulting Numbers: [40, 33]
Generated Node #0,2,0: 73:[40, 33] Operation: 72-39=33
Moving to Node #0,2,0
Current State: 73:[40, 33], Operations: ['82-42=40', '72-39=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_4 | mult_heuristic |
[
72,
93,
62,
76
] | 42 | [
"93*76=7068",
"7068/62=114",
"114-72=42"
] | Current State: 42:[72, 93, 62, 76], Operations: []
Exploring Operation: 93*76=7068, Resulting Numbers: [72, 62, 7068]
Generated Node #2: [72, 62, 7068] from Operation: 93*76=7068
Current State: 42:[72, 62, 7068], Operations: ['93*76=7068']
Exploring Operation: 7068/62=114, Resulting Numbers: [72, 114]
Generated Node #3: [72, 114] from Operation: 7068/62=114
Current State: 42:[72, 114], Operations: ['93*76=7068', '7068/62=114']
Exploring Operation: 114-72=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[72, 93, 62, 76], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [93, 62, 4]
Generated Node #0,0: 42:[93, 62, 4] Operation: 76-72=4
Exploring Operation: 93-76=17, Resulting Numbers: [72, 62, 17]
Generated Node #0,1: 42:[72, 62, 17] Operation: 93-76=17
Exploring Operation: 93-72=21, Resulting Numbers: [62, 76, 21]
Generated Node #0,2: 42:[62, 76, 21] Operation: 93-72=21
Moving to Node #0,1
Current State: 42:[72, 62, 17], Operations: ['93-76=17']
Exploring Operation: 62-17=45, Resulting Numbers: [72, 45]
Generated Node #0,1,0: 42:[72, 45] Operation: 62-17=45
Exploring Operation: 72-17=55, Resulting Numbers: [62, 55]
Generated Node #0,1,1: 42:[62, 55] Operation: 72-17=55
Exploring Operation: 72-62=10, Resulting Numbers: [17, 10]
Generated Node #0,1,2: 42:[17, 10] Operation: 72-62=10
Moving to Node #0,2
Current State: 42:[62, 76, 21], Operations: ['93-72=21']
Exploring Operation: 62-21=41, Resulting Numbers: [76, 41]
Generated Node #0,2,0: 42:[76, 41] Operation: 62-21=41
Exploring Operation: 76-62=14, Resulting Numbers: [21, 14]
Generated Node #0,2,1: 42:[21, 14] Operation: 76-62=14
Exploring Operation: 76-21=55, Resulting Numbers: [62, 55]
Generated Node #0,2,2: 42:[62, 55] Operation: 76-21=55
Moving to Node #0,0
Current State: 42:[93, 62, 4], Operations: ['76-72=4']
Exploring Operation: 93-4=89, Resulting Numbers: [62, 89]
Generated Node #0,0,0: 42:[62, 89] Operation: 93-4=89
Exploring Operation: 93-62=31, Resulting Numbers: [4, 31]
Generated Node #0,0,1: 42:[4, 31] Operation: 93-62=31
Exploring Operation: 62-4=58, Resulting Numbers: [93, 58]
Generated Node #0,0,2: 42:[93, 58] Operation: 62-4=58
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[4, 31], Operations: ['76-72=4', '93-62=31']
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[62, 89], Operations: ['76-72=4', '93-4=89']
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Exploring Operation: 62+89=151, Resulting Numbers: [151]
151,42 unequal: No Solution
Exploring Operation: 62*89=5518, Resulting Numbers: [5518]
5518,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[93, 58], Operations: ['76-72=4', '62-4=58']
Exploring Operation: 93*58=5394, Resulting Numbers: [5394]
5394,42 unequal: No Solution
Exploring Operation: 93+58=151, Resulting Numbers: [151]
151,42 unequal: No Solution
Exploring Operation: 93-58=35, Resulting Numbers: [35]
35,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 42:[21, 14], Operations: ['93-72=21', '76-62=14']
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,42 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[17, 10], Operations: ['93-76=17', '72-62=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[62, 55], Operations: ['93-76=17', '72-17=55']
Exploring Operation: 62+55=117, Resulting Numbers: [117]
117,42 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 62*55=3410, Resulting Numbers: [3410]
3410,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[62, 55], Operations: ['93-72=21', '76-21=55']
Exploring Operation: 62+55=117, Resulting Numbers: [117]
117,42 unequal: No Solution
Exploring Operation: 62*55=3410, Resulting Numbers: [3410]
3410,42 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[72, 45], Operations: ['93-76=17', '62-17=45']
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,42 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,42 unequal: No Solution
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[76, 41], Operations: ['93-72=21', '62-21=41']
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,42 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,42 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
92,
8,
54,
39
] | 85 | [
"92+8=100",
"54-39=15",
"100-15=85"
] | Current State: 85:[92, 8, 54, 39], Operations: []
Exploring Operation: 92+8=100, Resulting Numbers: [54, 39, 100]
Generated Node #2: [54, 39, 100] from Operation: 92+8=100
Current State: 85:[54, 39, 100], Operations: ['92+8=100']
Exploring Operation: 54-39=15, Resulting Numbers: [100, 15]
Generated Node #3: [100, 15] from Operation: 54-39=15
Current State: 85:[100, 15], Operations: ['92+8=100', '54-39=15']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[92, 8, 54, 39], Operations: []
Exploring Operation: 54+39=93, Resulting Numbers: [92, 8, 93]
Generated Node #0,0: 85:[92, 8, 93] Operation: 54+39=93
Exploring Operation: 92-54=38, Resulting Numbers: [8, 39, 38]
Generated Node #0,1: 85:[8, 39, 38] Operation: 92-54=38
Exploring Operation: 8+54=62, Resulting Numbers: [92, 39, 62]
Generated Node #0,2: 85:[92, 39, 62] Operation: 8+54=62
Exploring Operation: 54-39=15, Resulting Numbers: [92, 8, 15]
Generated Node #0,3: 85:[92, 8, 15] Operation: 54-39=15
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[92, 8, 15], Operations: ['54-39=15']
Exploring Operation: 8+15=23, Resulting Numbers: [92, 23]
Generated Node #0,3,0: 85:[92, 23] Operation: 8+15=23
Exploring Operation: 92-8=84, Resulting Numbers: [15, 84]
Generated Node #0,3,1: 85:[15, 84] Operation: 92-8=84
Exploring Operation: 92-15=77, Resulting Numbers: [8, 77]
Generated Node #0,3,2: 85:[8, 77] Operation: 92-15=77
Exploring Operation: 15-8=7, Resulting Numbers: [92, 7]
Generated Node #0,3,3: 85:[92, 7] Operation: 15-8=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 85:[15, 84], Operations: ['54-39=15', '92-8=84']
Exploring Operation: 15*84=1260, Resulting Numbers: [1260]
1260,85 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Exploring Operation: 15+84=99, Resulting Numbers: [99]
99,85 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 85:[92, 7], Operations: ['54-39=15', '15-8=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[92, 8, 54, 39], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [92, 8, 15]
Generated Node #0,3: 85:[92, 8, 15] Operation: 54-39=15
Moving to Node #0,3
Current State: 85:[92, 8, 15], Operations: ['54-39=15']
Exploring Operation: 15-8=7, Resulting Numbers: [92, 7]
Generated Node #0,3,3: 85:[92, 7] Operation: 15-8=7
Moving to Node #0,3,3
Current State: 85:[92, 7], Operations: ['54-39=15', '15-8=7']
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
50,
32,
36,
19
] | 35 | [
"50-32=18",
"36-19=17",
"18+17=35"
] | Current State: 35:[50, 32, 36, 19], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [36, 19, 18]
Generated Node #2: [36, 19, 18] from Operation: 50-32=18
Current State: 35:[36, 19, 18], Operations: ['50-32=18']
Exploring Operation: 36-19=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 36-19=17
Current State: 35:[18, 17], Operations: ['50-32=18', '36-19=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[50, 32, 36, 19], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [32, 36, 31]
Generated Node #0,0: 35:[32, 36, 31] Operation: 50-19=31
Exploring Operation: 50-36=14, Resulting Numbers: [32, 19, 14]
Generated Node #0,1: 35:[32, 19, 14] Operation: 50-36=14
Exploring Operation: 32-19=13, Resulting Numbers: [50, 36, 13]
Generated Node #0,2: 35:[50, 36, 13] Operation: 32-19=13
Moving to Node #0,0
Current State: 35:[32, 36, 31], Operations: ['50-19=31']
Exploring Operation: 32-31=1, Resulting Numbers: [36, 1]
Generated Node #0,0,0: 35:[36, 1] Operation: 32-31=1
Exploring Operation: 36-32=4, Resulting Numbers: [31, 4]
Generated Node #0,0,1: 35:[31, 4] Operation: 36-32=4
Exploring Operation: 36-31=5, Resulting Numbers: [32, 5]
Generated Node #0,0,2: 35:[32, 5] Operation: 36-31=5
Moving to Node #0,1
Current State: 35:[32, 19, 14], Operations: ['50-36=14']
Exploring Operation: 19+14=33, Resulting Numbers: [32, 33]
Generated Node #0,1,0: 35:[32, 33] Operation: 19+14=33
Exploring Operation: 32-19=13, Resulting Numbers: [14, 13]
Generated Node #0,1,1: 35:[14, 13] Operation: 32-19=13
Exploring Operation: 19-14=5, Resulting Numbers: [32, 5]
Generated Node #0,1,2: 35:[32, 5] Operation: 19-14=5
Moving to Node #0,2
Current State: 35:[50, 36, 13], Operations: ['32-19=13']
Exploring Operation: 50-13=37, Resulting Numbers: [36, 37]
Generated Node #0,2,0: 35:[36, 37] Operation: 50-13=37
Exploring Operation: 36-13=23, Resulting Numbers: [50, 23]
Generated Node #0,2,1: 35:[50, 23] Operation: 36-13=23
Exploring Operation: 50-36=14, Resulting Numbers: [13, 14]
Generated Node #0,2,2: 35:[13, 14] Operation: 50-36=14
Moving to Node #0,0,2
Current State: 35:[32, 5], Operations: ['50-19=31', '36-31=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[36, 37], Operations: ['32-19=13', '50-13=37']
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,35 unequal: No Solution
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[32, 5], Operations: ['50-36=14', '19-14=5']
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,35 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[31, 4], Operations: ['50-19=31', '36-32=4']
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,35 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[50, 32, 36, 19], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [32, 36, 31]
Generated Node #0,0: 35:[32, 36, 31] Operation: 50-19=31
Moving to Node #0,0
Current State: 35:[32, 36, 31], Operations: ['50-19=31']
Exploring Operation: 36-32=4, Resulting Numbers: [31, 4]
Generated Node #0,0,1: 35:[31, 4] Operation: 36-32=4
Moving to Node #0,0,1
Current State: 35:[31, 4], Operations: ['50-19=31', '36-32=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
22,
9,
1,
77
] | 89 | [
"22-9=13",
"77-1=76",
"13+76=89"
] | Current State: 89:[22, 9, 1, 77], Operations: []
Exploring Operation: 22-9=13, Resulting Numbers: [1, 77, 13]
Generated Node #2: [1, 77, 13] from Operation: 22-9=13
Current State: 89:[1, 77, 13], Operations: ['22-9=13']
Exploring Operation: 77-1=76, Resulting Numbers: [13, 76]
Generated Node #3: [13, 76] from Operation: 77-1=76
Current State: 89:[13, 76], Operations: ['22-9=13', '77-1=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[22, 9, 1, 77], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [1, 77, 31]
Generated Node #0,0: 89:[1, 77, 31] Operation: 22+9=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[1, 77, 31], Operations: ['22+9=31']
Exploring Operation: 1+77=78, Resulting Numbers: [31, 78]
Generated Node #0,0,0: 89:[31, 78] Operation: 1+77=78
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[31, 78], Operations: ['22+9=31', '1+77=78']
Exploring Operation: 31+78=109, Resulting Numbers: [109]
109,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
36,
58,
8,
64
] | 78 | [
"58-36=22",
"64-8=56",
"22+56=78"
] | Current State: 78:[36, 58, 8, 64], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [8, 64, 22]
Generated Node #2: [8, 64, 22] from Operation: 58-36=22
Current State: 78:[8, 64, 22], Operations: ['58-36=22']
Exploring Operation: 64-8=56, Resulting Numbers: [22, 56]
Generated Node #3: [22, 56] from Operation: 64-8=56
Current State: 78:[22, 56], Operations: ['58-36=22', '64-8=56']
Exploring Operation: 22+56=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[36, 58, 8, 64], Operations: []
Exploring Operation: 64-58=6, Resulting Numbers: [36, 8, 6]
Generated Node #0,0: 78:[36, 8, 6] Operation: 64-58=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[36, 8, 6], Operations: ['64-58=6']
Exploring Operation: 36-8=28, Resulting Numbers: [6, 28]
Generated Node #0,0,0: 78:[6, 28] Operation: 36-8=28
Moving to Node #0,0,0
Current State: 78:[6, 28], Operations: ['64-58=6', '36-8=28']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
98,
58,
72,
85
] | 10 | [
"98-85=13",
"58+72=130",
"130/13=10"
] | Current State: 10:[98, 58, 72, 85], Operations: []
Exploring Operation: 98-85=13, Resulting Numbers: [58, 72, 13]
Generated Node #2: [58, 72, 13] from Operation: 98-85=13
Current State: 10:[58, 72, 13], Operations: ['98-85=13']
Exploring Operation: 58+72=130, Resulting Numbers: [13, 130]
Generated Node #3: [13, 130] from Operation: 58+72=130
Current State: 10:[13, 130], Operations: ['98-85=13', '58+72=130']
Exploring Operation: 130/13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[98, 58, 72, 85], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [58, 85, 26]
Generated Node #0,0: 10:[58, 85, 26] Operation: 98-72=26
Exploring Operation: 98-85=13, Resulting Numbers: [58, 72, 13]
Generated Node #0,1: 10:[58, 72, 13] Operation: 98-85=13
Moving to Node #0,1
Current State: 10:[58, 72, 13], Operations: ['98-85=13']
Exploring Operation: 58-13=45, Resulting Numbers: [72, 45]
Generated Node #0,1,0: 10:[72, 45] Operation: 58-13=45
Exploring Operation: 72-58=14, Resulting Numbers: [13, 14]
Generated Node #0,1,1: 10:[13, 14] Operation: 72-58=14
Moving to Node #0,0
Current State: 10:[58, 85, 26], Operations: ['98-72=26']
Exploring Operation: 85-58=27, Resulting Numbers: [26, 27]
Generated Node #0,0,0: 10:[26, 27] Operation: 85-58=27
Exploring Operation: 58-26=32, Resulting Numbers: [85, 32]
Generated Node #0,0,1: 10:[85, 32] Operation: 58-26=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[26, 27], Operations: ['98-72=26', '85-58=27']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[85, 32], Operations: ['98-72=26', '58-26=32']
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,10 unequal: No Solution
Exploring Operation: 85+32=117, Resulting Numbers: [117]
117,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 10:[13, 14], Operations: ['98-85=13', '72-58=14']
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[72, 45], Operations: ['98-85=13', '58-13=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,10 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
23,
12,
54,
82
] | 39 | [
"23-12=11",
"82-54=28",
"11+28=39"
] | Current State: 39:[23, 12, 54, 82], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [54, 82, 11]
Generated Node #2: [54, 82, 11] from Operation: 23-12=11
Current State: 39:[54, 82, 11], Operations: ['23-12=11']
Exploring Operation: 82-54=28, Resulting Numbers: [11, 28]
Generated Node #3: [11, 28] from Operation: 82-54=28
Current State: 39:[11, 28], Operations: ['23-12=11', '82-54=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[23, 12, 54, 82], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [23, 12, 28]
Generated Node #0,0: 39:[23, 12, 28] Operation: 82-54=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[23, 12, 28], Operations: ['82-54=28']
Exploring Operation: 28-23=5, Resulting Numbers: [12, 5]
Generated Node #0,0,0: 39:[12, 5] Operation: 28-23=5
Moving to Node #0,0,0
Current State: 39:[12, 5], Operations: ['82-54=28', '28-23=5']
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
99,
48,
55
] | 29 | [
"99+55=154",
"154/2=77",
"77-48=29"
] | Current State: 29:[2, 99, 48, 55], Operations: []
Exploring Operation: 99+55=154, Resulting Numbers: [2, 48, 154]
Generated Node #2: [2, 48, 154] from Operation: 99+55=154
Current State: 29:[2, 48, 154], Operations: ['99+55=154']
Exploring Operation: 154/2=77, Resulting Numbers: [48, 77]
Generated Node #3: [48, 77] from Operation: 154/2=77
Current State: 29:[48, 77], Operations: ['99+55=154', '154/2=77']
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[2, 99, 48, 55], Operations: []
Exploring Operation: 99-55=44, Resulting Numbers: [2, 48, 44]
Generated Node #0,0: 29:[2, 48, 44] Operation: 99-55=44
Exploring Operation: 99-48=51, Resulting Numbers: [2, 55, 51]
Generated Node #0,1: 29:[2, 55, 51] Operation: 99-48=51
Exploring Operation: 48/2=24, Resulting Numbers: [99, 55, 24]
Generated Node #0,2: 29:[99, 55, 24] Operation: 48/2=24
Moving to Node #0,0
Current State: 29:[2, 48, 44], Operations: ['99-55=44']
Exploring Operation: 44/2=22, Resulting Numbers: [48, 22]
Generated Node #0,0,0: 29:[48, 22] Operation: 44/2=22
Exploring Operation: 48-2=46, Resulting Numbers: [44, 46]
Generated Node #0,0,1: 29:[44, 46] Operation: 48-2=46
Exploring Operation: 48/2=24, Resulting Numbers: [44, 24]
Generated Node #0,0,2: 29:[44, 24] Operation: 48/2=24
Moving to Node #0,1
Current State: 29:[2, 55, 51], Operations: ['99-48=51']
Exploring Operation: 55-2=53, Resulting Numbers: [51, 53]
Generated Node #0,1,0: 29:[51, 53] Operation: 55-2=53
Exploring Operation: 2+55=57, Resulting Numbers: [51, 57]
Generated Node #0,1,1: 29:[51, 57] Operation: 2+55=57
Exploring Operation: 51-2=49, Resulting Numbers: [55, 49]
Generated Node #0,1,2: 29:[55, 49] Operation: 51-2=49
Moving to Node #0,2
Current State: 29:[99, 55, 24], Operations: ['48/2=24']
Exploring Operation: 99-24=75, Resulting Numbers: [55, 75]
Generated Node #0,2,0: 29:[55, 75] Operation: 99-24=75
Exploring Operation: 55-24=31, Resulting Numbers: [99, 31]
Generated Node #0,2,1: 29:[99, 31] Operation: 55-24=31
Exploring Operation: 99-55=44, Resulting Numbers: [24, 44]
Generated Node #0,2,2: 29:[24, 44] Operation: 99-55=44
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[24, 44], Operations: ['48/2=24', '99-55=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[55, 75], Operations: ['48/2=24', '99-24=75']
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Exploring Operation: 55*75=4125, Resulting Numbers: [4125]
4125,29 unequal: No Solution
Exploring Operation: 55+75=130, Resulting Numbers: [130]
130,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[99, 31], Operations: ['48/2=24', '55-24=31']
Exploring Operation: 99+31=130, Resulting Numbers: [130]
130,29 unequal: No Solution
Exploring Operation: 99*31=3069, Resulting Numbers: [3069]
3069,29 unequal: No Solution
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 29:[44, 24], Operations: ['99-55=44', '48/2=24']
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,29 unequal: No Solution
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[48, 22], Operations: ['99-55=44', '44/2=22']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[44, 46], Operations: ['99-55=44', '48-2=46']
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,29 unequal: No Solution
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,29 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[55, 49], Operations: ['99-48=51', '51-2=49']
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,29 unequal: No Solution
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[51, 53], Operations: ['99-48=51', '55-2=53']
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 51*53=2703, Resulting Numbers: [2703]
2703,29 unequal: No Solution
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[51, 57], Operations: ['99-48=51', '2+55=57']
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,29 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
75,
92,
6,
59
] | 36 | [
"92-75=17",
"59-6=53",
"53-17=36"
] | Current State: 36:[75, 92, 6, 59], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [6, 59, 17]
Generated Node #2: [6, 59, 17] from Operation: 92-75=17
Current State: 36:[6, 59, 17], Operations: ['92-75=17']
Exploring Operation: 59-6=53, Resulting Numbers: [17, 53]
Generated Node #3: [17, 53] from Operation: 59-6=53
Current State: 36:[17, 53], Operations: ['92-75=17', '59-6=53']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[75, 92, 6, 59], Operations: []
Exploring Operation: 92-59=33, Resulting Numbers: [75, 6, 33]
Generated Node #0,0: 36:[75, 6, 33] Operation: 92-59=33
Exploring Operation: 92-75=17, Resulting Numbers: [6, 59, 17]
Generated Node #0,1: 36:[6, 59, 17] Operation: 92-75=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[6, 59, 17], Operations: ['92-75=17']
Exploring Operation: 59-6=53, Resulting Numbers: [17, 53]
Generated Node #0,1,0: 36:[17, 53] Operation: 59-6=53
Exploring Operation: 59-17=42, Resulting Numbers: [6, 42]
Generated Node #0,1,1: 36:[6, 42] Operation: 59-17=42
Moving to Node #0,1,1
Current State: 36:[6, 42], Operations: ['92-75=17', '59-17=42']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[75, 92, 6, 59], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [6, 59, 17]
Generated Node #0,1: 36:[6, 59, 17] Operation: 92-75=17
Moving to Node #0,1
Current State: 36:[6, 59, 17], Operations: ['92-75=17']
Exploring Operation: 59-17=42, Resulting Numbers: [6, 42]
Generated Node #0,1,1: 36:[6, 42] Operation: 59-17=42
Moving to Node #0,1,1
Current State: 36:[6, 42], Operations: ['92-75=17', '59-17=42']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
27,
76,
82,
2
] | 15 | [
"82-76=6",
"2*6=12",
"27-12=15"
] | Current State: 15:[27, 76, 82, 2], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [27, 2, 6]
Generated Node #2: [27, 2, 6] from Operation: 82-76=6
Current State: 15:[27, 2, 6], Operations: ['82-76=6']
Exploring Operation: 2*6=12, Resulting Numbers: [27, 12]
Generated Node #3: [27, 12] from Operation: 2*6=12
Current State: 15:[27, 12], Operations: ['82-76=6', '2*6=12']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[27, 76, 82, 2], Operations: []
Exploring Operation: 82-76=6, Resulting Numbers: [27, 2, 6]
Generated Node #0,0: 15:[27, 2, 6] Operation: 82-76=6
Exploring Operation: 76-27=49, Resulting Numbers: [82, 2, 49]
Generated Node #0,1: 15:[82, 2, 49] Operation: 76-27=49
Exploring Operation: 82/2=41, Resulting Numbers: [27, 76, 41]
Generated Node #0,2: 15:[27, 76, 41] Operation: 82/2=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[27, 2, 6], Operations: ['82-76=6']
Exploring Operation: 27-6=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 15:[2, 21] Operation: 27-6=21
Exploring Operation: 6/2=3, Resulting Numbers: [27, 3]
Generated Node #0,0,1: 15:[27, 3] Operation: 6/2=3
Exploring Operation: 27-2=25, Resulting Numbers: [6, 25]
Generated Node #0,0,2: 15:[6, 25] Operation: 27-2=25
Moving to Node #0,0,0
Current State: 15:[2, 21], Operations: ['82-76=6', '27-6=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[6, 25], Operations: ['82-76=6', '27-2=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[27, 3], Operations: ['82-76=6', '6/2=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[27, 76, 41], Operations: ['82/2=41']
Exploring Operation: 76-27=49, Resulting Numbers: [41, 49]
Generated Node #0,2,0: 15:[41, 49] Operation: 76-27=49
Exploring Operation: 41-27=14, Resulting Numbers: [76, 14]
Generated Node #0,2,1: 15:[76, 14] Operation: 41-27=14
Exploring Operation: 76-41=35, Resulting Numbers: [27, 35]
Generated Node #0,2,2: 15:[27, 35] Operation: 76-41=35
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[27, 35], Operations: ['82/2=41', '76-41=35']
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,15 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[41, 49], Operations: ['82/2=41', '76-27=49']
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 41*49=2009, Resulting Numbers: [2009]
2009,15 unequal: No Solution
Exploring Operation: 41+49=90, Resulting Numbers: [90]
90,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[76, 14], Operations: ['82/2=41', '41-27=14']
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,15 unequal: No Solution
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[82, 2, 49], Operations: ['76-27=49']
Exploring Operation: 82/2=41, Resulting Numbers: [49, 41]
Generated Node #0,1,0: 15:[49, 41] Operation: 82/2=41
Exploring Operation: 82-49=33, Resulting Numbers: [2, 33]
Generated Node #0,1,1: 15:[2, 33] Operation: 82-49=33
Exploring Operation: 82-2=80, Resulting Numbers: [49, 80]
Generated Node #0,1,2: 15:[49, 80] Operation: 82-2=80
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[2, 33], Operations: ['76-27=49', '82-49=33']
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[49, 41], Operations: ['76-27=49', '82/2=41']
Exploring Operation: 49+41=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 49*41=2009, Resulting Numbers: [2009]
2009,15 unequal: No Solution
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[49, 80], Operations: ['76-27=49', '82-2=80']
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,15 unequal: No Solution
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
84,
16,
18
] | 26 | [
"8*16=128",
"84+18=102",
"128-102=26"
] | Current State: 26:[8, 84, 16, 18], Operations: []
Exploring Operation: 8*16=128, Resulting Numbers: [84, 18, 128]
Generated Node #2: [84, 18, 128] from Operation: 8*16=128
Current State: 26:[84, 18, 128], Operations: ['8*16=128']
Exploring Operation: 84+18=102, Resulting Numbers: [128, 102]
Generated Node #3: [128, 102] from Operation: 84+18=102
Current State: 26:[128, 102], Operations: ['8*16=128', '84+18=102']
Exploring Operation: 128-102=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[8, 84, 16, 18], Operations: []
Exploring Operation: 84-16=68, Resulting Numbers: [8, 18, 68]
Generated Node #0,0: 26:[8, 18, 68] Operation: 84-16=68
Exploring Operation: 8+18=26, Resulting Numbers: [84, 16, 26]
Generated Node #0,1: 26:[84, 16, 26] Operation: 8+18=26
Exploring Operation: 84-18=66, Resulting Numbers: [8, 16, 66]
Generated Node #0,2: 26:[8, 16, 66] Operation: 84-18=66
Exploring Operation: 84-8=76, Resulting Numbers: [16, 18, 76]
Generated Node #0,3: 26:[16, 18, 76] Operation: 84-8=76
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[8, 16, 66], Operations: ['84-18=66']
Exploring Operation: 66-16=50, Resulting Numbers: [8, 50]
Generated Node #0,2,0: 26:[8, 50] Operation: 66-16=50
Exploring Operation: 8+16=24, Resulting Numbers: [66, 24]
Generated Node #0,2,1: 26:[66, 24] Operation: 8+16=24
Exploring Operation: 66-8=58, Resulting Numbers: [16, 58]
Generated Node #0,2,2: 26:[16, 58] Operation: 66-8=58
Exploring Operation: 16/8=2, Resulting Numbers: [66, 2]
Generated Node #0,2,3: 26:[66, 2] Operation: 16/8=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 26:[8, 50], Operations: ['84-18=66', '66-16=50']
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 26:[16, 58], Operations: ['84-18=66', '66-8=58']
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,26 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 26:[66, 2], Operations: ['84-18=66', '16/8=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,26 unequal: No Solution
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,26 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,26 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 26:[66, 24], Operations: ['84-18=66', '8+16=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,26 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,26 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[8, 18, 68], Operations: ['84-16=68']
Exploring Operation: 68-8=60, Resulting Numbers: [18, 60]
Generated Node #0,0,0: 26:[18, 60] Operation: 68-8=60
Exploring Operation: 8+18=26, Resulting Numbers: [68, 26]
Generated Node #0,0,1: 26:[68, 26] Operation: 8+18=26
Exploring Operation: 68-18=50, Resulting Numbers: [8, 50]
Generated Node #0,0,2: 26:[8, 50] Operation: 68-18=50
Exploring Operation: 18-8=10, Resulting Numbers: [68, 10]
Generated Node #0,0,3: 26:[68, 10] Operation: 18-8=10
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 26:[8, 50], Operations: ['84-16=68', '68-18=50']
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,26 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[18, 60], Operations: ['84-16=68', '68-8=60']
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 18+60=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 18*60=1080, Resulting Numbers: [1080]
1080,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[68, 26], Operations: ['84-16=68', '8+18=26']
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 68*26=1768, Resulting Numbers: [1768]
1768,26 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 26:[68, 10], Operations: ['84-16=68', '18-8=10']
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[16, 18, 76], Operations: ['84-8=76']
Exploring Operation: 18-16=2, Resulting Numbers: [76, 2]
Generated Node #0,3,0: 26:[76, 2] Operation: 18-16=2
Exploring Operation: 16+18=34, Resulting Numbers: [76, 34]
Generated Node #0,3,1: 26:[76, 34] Operation: 16+18=34
Exploring Operation: 76-18=58, Resulting Numbers: [16, 58]
Generated Node #0,3,2: 26:[16, 58] Operation: 76-18=58
Exploring Operation: 76-16=60, Resulting Numbers: [18, 60]
Generated Node #0,3,3: 26:[18, 60] Operation: 76-16=60
Moving to Node #0,3,2
Current State: 26:[16, 58], Operations: ['84-8=76', '76-18=58']
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[18, 60], Operations: ['84-8=76', '76-16=60']
Exploring Operation: 18*60=1080, Resulting Numbers: [1080]
1080,26 unequal: No Solution
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 18+60=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[76, 2], Operations: ['84-8=76', '18-16=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,26 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[76, 34], Operations: ['84-8=76', '16+18=34']
Exploring Operation: 76*34=2584, Resulting Numbers: [2584]
2584,26 unequal: No Solution
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 76+34=110, Resulting Numbers: [110]
110,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[84, 16, 26], Operations: ['8+18=26']
Exploring Operation: 84-16=68, Resulting Numbers: [26, 68]
Generated Node #0,1,0: 26:[26, 68] Operation: 84-16=68
Exploring Operation: 84+16=100, Resulting Numbers: [26, 100]
Generated Node #0,1,1: 26:[26, 100] Operation: 84+16=100
Exploring Operation: 84-26=58, Resulting Numbers: [16, 58]
Generated Node #0,1,2: 26:[16, 58] Operation: 84-26=58
Exploring Operation: 26-16=10, Resulting Numbers: [84, 10]
Generated Node #0,1,3: 26:[84, 10] Operation: 26-16=10
Moving to Node #0,1,2
Current State: 26:[16, 58], Operations: ['8+18=26', '84-26=58']
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,26 unequal: No Solution
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[26, 68], Operations: ['8+18=26', '84-16=68']
Exploring Operation: 26*68=1768, Resulting Numbers: [1768]
1768,26 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,26 unequal: No Solution
Exploring Operation: 26+68=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[84, 10], Operations: ['8+18=26', '26-16=10']
Exploring Operation: 84*10=840, Resulting Numbers: [840]
840,26 unequal: No Solution
Exploring Operation: 84+10=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[26, 100], Operations: ['8+18=26', '84+16=100']
Exploring Operation: 26+100=126, Resulting Numbers: [126]
126,26 unequal: No Solution
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 26*100=2600, Resulting Numbers: [2600]
2600,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
4,
62,
98,
79
] | 85 | [
"4+62=66",
"98-79=19",
"66+19=85"
] | Current State: 85:[4, 62, 98, 79], Operations: []
Exploring Operation: 4+62=66, Resulting Numbers: [98, 79, 66]
Generated Node #2: [98, 79, 66] from Operation: 4+62=66
Current State: 85:[98, 79, 66], Operations: ['4+62=66']
Exploring Operation: 98-79=19, Resulting Numbers: [66, 19]
Generated Node #3: [66, 19] from Operation: 98-79=19
Current State: 85:[66, 19], Operations: ['4+62=66', '98-79=19']
Exploring Operation: 66+19=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[4, 62, 98, 79], Operations: []
Exploring Operation: 79-62=17, Resulting Numbers: [4, 98, 17]
Generated Node #0,0: 85:[4, 98, 17] Operation: 79-62=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[4, 98, 17], Operations: ['79-62=17']
Exploring Operation: 98-17=81, Resulting Numbers: [4, 81]
Generated Node #0,0,0: 85:[4, 81] Operation: 98-17=81
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[4, 81], Operations: ['79-62=17', '98-17=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[4, 62, 98, 79], Operations: []
Exploring Operation: 79-62=17, Resulting Numbers: [4, 98, 17]
Generated Node #0,0: 85:[4, 98, 17] Operation: 79-62=17
Moving to Node #0,0
Current State: 85:[4, 98, 17], Operations: ['79-62=17']
Exploring Operation: 98-17=81, Resulting Numbers: [4, 81]
Generated Node #0,0,0: 85:[4, 81] Operation: 98-17=81
Moving to Node #0,0,0
Current State: 85:[4, 81], Operations: ['79-62=17', '98-17=81']
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
11,
22,
55,
86
] | 79 | [
"22+55=77",
"77/11=7",
"86-7=79"
] | Current State: 79:[11, 22, 55, 86], Operations: []
Exploring Operation: 22+55=77, Resulting Numbers: [11, 86, 77]
Generated Node #2: [11, 86, 77] from Operation: 22+55=77
Current State: 79:[11, 86, 77], Operations: ['22+55=77']
Exploring Operation: 77/11=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 77/11=7
Current State: 79:[86, 7], Operations: ['22+55=77', '77/11=7']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[11, 22, 55, 86], Operations: []
Exploring Operation: 86-11=75, Resulting Numbers: [22, 55, 75]
Generated Node #0,0: 79:[22, 55, 75] Operation: 86-11=75
Exploring Operation: 11+55=66, Resulting Numbers: [22, 86, 66]
Generated Node #0,1: 79:[22, 86, 66] Operation: 11+55=66
Exploring Operation: 22+55=77, Resulting Numbers: [11, 86, 77]
Generated Node #0,2: 79:[11, 86, 77] Operation: 22+55=77
Exploring Operation: 11+22=33, Resulting Numbers: [55, 86, 33]
Generated Node #0,3: 79:[55, 86, 33] Operation: 11+22=33
Moving to Node #0,1
Current State: 79:[22, 86, 66], Operations: ['11+55=66']
Exploring Operation: 22+66=88, Resulting Numbers: [86, 88]
Generated Node #0,1,0: 79:[86, 88] Operation: 22+66=88
Exploring Operation: 86-22=64, Resulting Numbers: [66, 64]
Generated Node #0,1,1: 79:[66, 64] Operation: 86-22=64
Exploring Operation: 66-22=44, Resulting Numbers: [86, 44]
Generated Node #0,1,2: 79:[86, 44] Operation: 66-22=44
Exploring Operation: 22+86=108, Resulting Numbers: [66, 108]
Generated Node #0,1,3: 79:[66, 108] Operation: 22+86=108
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[86, 88], Operations: ['11+55=66', '22+66=88']
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,79 unequal: No Solution
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[66, 64], Operations: ['11+55=66', '86-22=64']
Exploring Operation: 66+64=130, Resulting Numbers: [130]
130,79 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 66*64=4224, Resulting Numbers: [4224]
4224,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[86, 44], Operations: ['11+55=66', '66-22=44']
Exploring Operation: 86*44=3784, Resulting Numbers: [3784]
3784,79 unequal: No Solution
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 86+44=130, Resulting Numbers: [130]
130,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[66, 108], Operations: ['11+55=66', '22+86=108']
Exploring Operation: 66+108=174, Resulting Numbers: [174]
174,79 unequal: No Solution
Exploring Operation: 66*108=7128, Resulting Numbers: [7128]
7128,79 unequal: No Solution
Exploring Operation: 108-66=42, Resulting Numbers: [42]
42,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 79:[55, 86, 33], Operations: ['11+22=33']
Exploring Operation: 55-33=22, Resulting Numbers: [86, 22]
Generated Node #0,3,0: 79:[86, 22] Operation: 55-33=22
Exploring Operation: 86+33=119, Resulting Numbers: [55, 119]
Generated Node #0,3,1: 79:[55, 119] Operation: 86+33=119
Exploring Operation: 55+33=88, Resulting Numbers: [86, 88]
Generated Node #0,3,2: 79:[86, 88] Operation: 55+33=88
Exploring Operation: 86-33=53, Resulting Numbers: [55, 53]
Generated Node #0,3,3: 79:[55, 53] Operation: 86-33=53
Moving to Node #0,2
Current State: 79:[11, 86, 77], Operations: ['22+55=77']
Exploring Operation: 11+77=88, Resulting Numbers: [86, 88]
Generated Node #0,2,0: 79:[86, 88] Operation: 11+77=88
Exploring Operation: 77-11=66, Resulting Numbers: [86, 66]
Generated Node #0,2,1: 79:[86, 66] Operation: 77-11=66
Exploring Operation: 86-11=75, Resulting Numbers: [77, 75]
Generated Node #0,2,2: 79:[77, 75] Operation: 86-11=75
Exploring Operation: 11+86=97, Resulting Numbers: [77, 97]
Generated Node #0,2,3: 79:[77, 97] Operation: 11+86=97
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[77, 75], Operations: ['22+55=77', '86-11=75']
Exploring Operation: 77+75=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 77*75=5775, Resulting Numbers: [5775]
5775,79 unequal: No Solution
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[86, 88], Operations: ['22+55=77', '11+77=88']
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,79 unequal: No Solution
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,79 unequal: No Solution
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[86, 66], Operations: ['22+55=77', '77-11=66']
Exploring Operation: 86*66=5676, Resulting Numbers: [5676]
5676,79 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 86+66=152, Resulting Numbers: [152]
152,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[77, 97], Operations: ['22+55=77', '11+86=97']
Exploring Operation: 77*97=7469, Resulting Numbers: [7469]
7469,79 unequal: No Solution
Exploring Operation: 97-77=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 77+97=174, Resulting Numbers: [174]
174,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 79:[22, 55, 75], Operations: ['86-11=75']
Exploring Operation: 22+55=77, Resulting Numbers: [75, 77]
Generated Node #0,0,0: 79:[75, 77] Operation: 22+55=77
Exploring Operation: 55-22=33, Resulting Numbers: [75, 33]
Generated Node #0,0,1: 79:[75, 33] Operation: 55-22=33
Exploring Operation: 22+75=97, Resulting Numbers: [55, 97]
Generated Node #0,0,2: 79:[55, 97] Operation: 22+75=97
Exploring Operation: 75-22=53, Resulting Numbers: [55, 53]
Generated Node #0,0,3: 79:[55, 53] Operation: 75-22=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[75, 77], Operations: ['86-11=75', '22+55=77']
Exploring Operation: 75*77=5775, Resulting Numbers: [5775]
5775,79 unequal: No Solution
Exploring Operation: 75+77=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[55, 97], Operations: ['86-11=75', '22+75=97']
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 55*97=5335, Resulting Numbers: [5335]
5335,79 unequal: No Solution
Exploring Operation: 55+97=152, Resulting Numbers: [152]
152,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[75, 33], Operations: ['86-11=75', '55-22=33']
Exploring Operation: 75+33=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 75*33=2475, Resulting Numbers: [2475]
2475,79 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[55, 53], Operations: ['86-11=75', '75-22=53']
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,79 unequal: No Solution
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 79:[86, 88], Operations: ['11+22=33', '55+33=88']
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,79 unequal: No Solution
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,79 unequal: No Solution
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[55, 53], Operations: ['11+22=33', '86-33=53']
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,79 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,79 unequal: No Solution
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[55, 119], Operations: ['11+22=33', '86+33=119']
Exploring Operation: 119-55=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 55+119=174, Resulting Numbers: [174]
174,79 unequal: No Solution
Exploring Operation: 55*119=6545, Resulting Numbers: [6545]
6545,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[86, 22], Operations: ['11+22=33', '55-33=22']
Exploring Operation: 86*22=1892, Resulting Numbers: [1892]
1892,79 unequal: No Solution
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 86+22=108, Resulting Numbers: [108]
108,79 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
69,
34,
9,
29
] | 83 | [
"69+34=103",
"29-9=20",
"103-20=83"
] | Current State: 83:[69, 34, 9, 29], Operations: []
Exploring Operation: 69+34=103, Resulting Numbers: [9, 29, 103]
Generated Node #2: [9, 29, 103] from Operation: 69+34=103
Current State: 83:[9, 29, 103], Operations: ['69+34=103']
Exploring Operation: 29-9=20, Resulting Numbers: [103, 20]
Generated Node #3: [103, 20] from Operation: 29-9=20
Current State: 83:[103, 20], Operations: ['69+34=103', '29-9=20']
Exploring Operation: 103-20=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[69, 34, 9, 29], Operations: []
Exploring Operation: 34+29=63, Resulting Numbers: [69, 9, 63]
Generated Node #0,0: 83:[69, 9, 63] Operation: 34+29=63
Exploring Operation: 34+9=43, Resulting Numbers: [69, 29, 43]
Generated Node #0,1: 83:[69, 29, 43] Operation: 34+9=43
Exploring Operation: 69+9=78, Resulting Numbers: [34, 29, 78]
Generated Node #0,2: 83:[34, 29, 78] Operation: 69+9=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[69, 9, 63], Operations: ['34+29=63']
Exploring Operation: 69-9=60, Resulting Numbers: [63, 60]
Generated Node #0,0,0: 83:[63, 60] Operation: 69-9=60
Exploring Operation: 9+63=72, Resulting Numbers: [69, 72]
Generated Node #0,0,1: 83:[69, 72] Operation: 9+63=72
Exploring Operation: 69+9=78, Resulting Numbers: [63, 78]
Generated Node #0,0,2: 83:[63, 78] Operation: 69+9=78
Moving to Node #0,0,1
Current State: 83:[69, 72], Operations: ['34+29=63', '9+63=72']
Exploring Operation: 69*72=4968, Resulting Numbers: [4968]
4968,83 unequal: No Solution
Exploring Operation: 69+72=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[63, 78], Operations: ['34+29=63', '69+9=78']
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 63+78=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 63*78=4914, Resulting Numbers: [4914]
4914,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[63, 60], Operations: ['34+29=63', '69-9=60']
Exploring Operation: 63*60=3780, Resulting Numbers: [3780]
3780,83 unequal: No Solution
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 63+60=123, Resulting Numbers: [123]
123,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[69, 29, 43], Operations: ['34+9=43']
Exploring Operation: 69-29=40, Resulting Numbers: [43, 40]
Generated Node #0,1,0: 83:[43, 40] Operation: 69-29=40
Exploring Operation: 69+29=98, Resulting Numbers: [43, 98]
Generated Node #0,1,1: 83:[43, 98] Operation: 69+29=98
Exploring Operation: 29+43=72, Resulting Numbers: [69, 72]
Generated Node #0,1,2: 83:[69, 72] Operation: 29+43=72
Moving to Node #0,1,2
Current State: 83:[69, 72], Operations: ['34+9=43', '29+43=72']
Exploring Operation: 69+72=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 69*72=4968, Resulting Numbers: [4968]
4968,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[43, 98], Operations: ['34+9=43', '69+29=98']
Exploring Operation: 43*98=4214, Resulting Numbers: [4214]
4214,83 unequal: No Solution
Exploring Operation: 43+98=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[43, 40], Operations: ['34+9=43', '69-29=40']
Exploring Operation: 43*40=1720, Resulting Numbers: [1720]
1720,83 unequal: No Solution
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[69, 34, 9, 29], Operations: []
Exploring Operation: 34+9=43, Resulting Numbers: [69, 29, 43]
Generated Node #0,1: 83:[69, 29, 43] Operation: 34+9=43
Moving to Node #0,1
Current State: 83:[69, 29, 43], Operations: ['34+9=43']
Exploring Operation: 69-29=40, Resulting Numbers: [43, 40]
Generated Node #0,1,0: 83:[43, 40] Operation: 69-29=40
Moving to Node #0,1,0
Current State: 83:[43, 40], Operations: ['34+9=43', '69-29=40']
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_3 | mult_heuristic |
[
56,
72,
7,
70
] | 79 | [
"72-56=16",
"70-7=63",
"16+63=79"
] | Current State: 79:[56, 72, 7, 70], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [7, 70, 16]
Generated Node #2: [7, 70, 16] from Operation: 72-56=16
Current State: 79:[7, 70, 16], Operations: ['72-56=16']
Exploring Operation: 70-7=63, Resulting Numbers: [16, 63]
Generated Node #3: [16, 63] from Operation: 70-7=63
Current State: 79:[16, 63], Operations: ['72-56=16', '70-7=63']
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[56, 72, 7, 70], Operations: []
Exploring Operation: 72-7=65, Resulting Numbers: [56, 70, 65]
Generated Node #0,0: 79:[56, 70, 65] Operation: 72-7=65
Exploring Operation: 56-7=49, Resulting Numbers: [72, 70, 49]
Generated Node #0,1: 79:[72, 70, 49] Operation: 56-7=49
Exploring Operation: 72+7=79, Resulting Numbers: [56, 70, 79]
Generated Node #0,2: 79:[56, 70, 79] Operation: 72+7=79
Exploring Operation: 56+7=63, Resulting Numbers: [72, 70, 63]
Generated Node #0,3: 79:[72, 70, 63] Operation: 56+7=63
Exploring Operation: 7+70=77, Resulting Numbers: [56, 72, 77]
Generated Node #0,4: 79:[56, 72, 77] Operation: 7+70=77
Moving to Node #0,2
Current State: 79:[56, 70, 79], Operations: ['72+7=79']
Exploring Operation: 56+79=135, Resulting Numbers: [70, 135]
Generated Node #0,2,0: 79:[70, 135] Operation: 56+79=135
Exploring Operation: 70+79=149, Resulting Numbers: [56, 149]
Generated Node #0,2,1: 79:[56, 149] Operation: 70+79=149
Exploring Operation: 56+70=126, Resulting Numbers: [79, 126]
Generated Node #0,2,2: 79:[79, 126] Operation: 56+70=126
Exploring Operation: 79-56=23, Resulting Numbers: [70, 23]
Generated Node #0,2,3: 79:[70, 23] Operation: 79-56=23
Exploring Operation: 70-56=14, Resulting Numbers: [79, 14]
Generated Node #0,2,4: 79:[79, 14] Operation: 70-56=14
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[79, 126], Operations: ['72+7=79', '56+70=126']
Exploring Operation: 126-79=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 79+126=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 79*126=9954, Resulting Numbers: [9954]
9954,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[70, 135], Operations: ['72+7=79', '56+79=135']
Exploring Operation: 70+135=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 135-70=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 70*135=9450, Resulting Numbers: [9450]
9450,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[70, 23], Operations: ['72+7=79', '79-56=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,79 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[79, 14], Operations: ['72+7=79', '70-56=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 79+14=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 79*14=1106, Resulting Numbers: [1106]
1106,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[56, 149], Operations: ['72+7=79', '70+79=149']
Exploring Operation: 56*149=8344, Resulting Numbers: [8344]
8344,79 unequal: No Solution
Exploring Operation: 56+149=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 149-56=93, Resulting Numbers: [93]
93,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 79:[56, 72, 77], Operations: ['7+70=77']
Exploring Operation: 77-56=21, Resulting Numbers: [72, 21]
Generated Node #0,4,0: 79:[72, 21] Operation: 77-56=21
Exploring Operation: 72+77=149, Resulting Numbers: [56, 149]
Generated Node #0,4,1: 79:[56, 149] Operation: 72+77=149
Exploring Operation: 56+72=128, Resulting Numbers: [77, 128]
Generated Node #0,4,2: 79:[77, 128] Operation: 56+72=128
Exploring Operation: 56+77=133, Resulting Numbers: [72, 133]
Generated Node #0,4,3: 79:[72, 133] Operation: 56+77=133
Exploring Operation: 72-56=16, Resulting Numbers: [77, 16]
Generated Node #0,4,4: 79:[77, 16] Operation: 72-56=16
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[77, 128], Operations: ['7+70=77', '56+72=128']
Exploring Operation: 77+128=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 128-77=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 77*128=9856, Resulting Numbers: [9856]
9856,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[72, 133], Operations: ['7+70=77', '56+77=133']
Exploring Operation: 133-72=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Exploring Operation: 72+133=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 72*133=9576, Resulting Numbers: [9576]
9576,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[72, 21], Operations: ['7+70=77', '77-56=21']
Exploring Operation: 72*21=1512, Resulting Numbers: [1512]
1512,79 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 72+21=93, Resulting Numbers: [93]
93,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[77, 16], Operations: ['7+70=77', '72-56=16']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 77*16=1232, Resulting Numbers: [1232]
1232,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[56, 149], Operations: ['7+70=77', '72+77=149']
Exploring Operation: 149-56=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 56*149=8344, Resulting Numbers: [8344]
8344,79 unequal: No Solution
Exploring Operation: 56+149=205, Resulting Numbers: [205]
205,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 79:[72, 70, 63], Operations: ['56+7=63']
Exploring Operation: 72+63=135, Resulting Numbers: [70, 135]
Generated Node #0,3,0: 79:[70, 135] Operation: 72+63=135
Exploring Operation: 72-63=9, Resulting Numbers: [70, 9]
Generated Node #0,3,1: 79:[70, 9] Operation: 72-63=9
Exploring Operation: 72+70=142, Resulting Numbers: [63, 142]
Generated Node #0,3,2: 79:[63, 142] Operation: 72+70=142
Exploring Operation: 70+63=133, Resulting Numbers: [72, 133]
Generated Node #0,3,3: 79:[72, 133] Operation: 70+63=133
Exploring Operation: 70-63=7, Resulting Numbers: [72, 7]
Generated Node #0,3,4: 79:[72, 7] Operation: 70-63=7
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[72, 133], Operations: ['56+7=63', '70+63=133']
Exploring Operation: 72+133=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 133-72=61, Resulting Numbers: [61]
61,79 unequal: No Solution
Exploring Operation: 72*133=9576, Resulting Numbers: [9576]
9576,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[70, 135], Operations: ['56+7=63', '72+63=135']
Exploring Operation: 135-70=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 70*135=9450, Resulting Numbers: [9450]
9450,79 unequal: No Solution
Exploring Operation: 70+135=205, Resulting Numbers: [205]
205,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[70, 9], Operations: ['56+7=63', '72-63=9']
Exploring Operation: 70+9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[56, 72, 7, 70], Operations: []
Exploring Operation: 56+7=63, Resulting Numbers: [72, 70, 63]
Generated Node #0,3: 79:[72, 70, 63] Operation: 56+7=63
Moving to Node #0,3
Current State: 79:[72, 70, 63], Operations: ['56+7=63']
Exploring Operation: 72-63=9, Resulting Numbers: [70, 9]
Generated Node #0,3,1: 79:[70, 9] Operation: 72-63=9
Moving to Node #0,3,1
Current State: 79:[70, 9], Operations: ['56+7=63', '72-63=9']
Exploring Operation: 70+9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.947049 | hs_5 | sum_heuristic |
[
50,
3,
31,
17
] | 30 | [
"50+31=81",
"3*17=51",
"81-51=30"
] | Current State: 30:[50, 3, 31, 17], Operations: []
Exploring Operation: 50+31=81, Resulting Numbers: [3, 17, 81]
Generated Node #2: [3, 17, 81] from Operation: 50+31=81
Current State: 30:[3, 17, 81], Operations: ['50+31=81']
Exploring Operation: 3*17=51, Resulting Numbers: [81, 51]
Generated Node #3: [81, 51] from Operation: 3*17=51
Current State: 30:[81, 51], Operations: ['50+31=81', '3*17=51']
Exploring Operation: 81-51=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[50, 3, 31, 17], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [3, 17, 19]
Generated Node #0,0: 30:[3, 17, 19] Operation: 50-31=19
Exploring Operation: 50-17=33, Resulting Numbers: [3, 31, 33]
Generated Node #0,1: 30:[3, 31, 33] Operation: 50-17=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[3, 31, 33], Operations: ['50-17=33']
Exploring Operation: 33-31=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 30:[3, 2] Operation: 33-31=2
Exploring Operation: 33-3=30, Resulting Numbers: [31, 30]
Generated Node #0,1,1: 30:[31, 30] Operation: 33-3=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[3, 2], Operations: ['50-17=33', '33-31=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[31, 30], Operations: ['50-17=33', '33-3=30']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[3, 17, 19], Operations: ['50-31=19']
Exploring Operation: 19-3=16, Resulting Numbers: [17, 16]
Generated Node #0,0,0: 30:[17, 16] Operation: 19-3=16
Exploring Operation: 19-17=2, Resulting Numbers: [3, 2]
Generated Node #0,0,1: 30:[3, 2] Operation: 19-17=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[3, 2], Operations: ['50-31=19', '19-17=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[17, 16], Operations: ['50-31=19', '19-3=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,30 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
36,
8,
11,
40
] | 19 | [
"40/8=5",
"11*5=55",
"55-36=19"
] | Current State: 19:[36, 8, 11, 40], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [36, 11, 5]
Generated Node #2: [36, 11, 5] from Operation: 40/8=5
Current State: 19:[36, 11, 5], Operations: ['40/8=5']
Exploring Operation: 11*5=55, Resulting Numbers: [36, 55]
Generated Node #3: [36, 55] from Operation: 11*5=55
Current State: 19:[36, 55], Operations: ['40/8=5', '11*5=55']
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[36, 8, 11, 40], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [8, 11, 4]
Generated Node #0,0: 19:[8, 11, 4] Operation: 40-36=4
Moving to Node #0,0
Current State: 19:[8, 11, 4], Operations: ['40-36=4']
Exploring Operation: 8+11=19, Resulting Numbers: [4, 19]
Generated Node #0,0,0: 19:[4, 19] Operation: 8+11=19
Moving to Node #0,0,0
Current State: 19:[4, 19], Operations: ['40-36=4', '8+11=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,19 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
55,
66,
93
] | 83 | [
"66-55=11",
"16*11=176",
"176-93=83"
] | Current State: 83:[16, 55, 66, 93], Operations: []
Exploring Operation: 66-55=11, Resulting Numbers: [16, 93, 11]
Generated Node #2: [16, 93, 11] from Operation: 66-55=11
Current State: 83:[16, 93, 11], Operations: ['66-55=11']
Exploring Operation: 16*11=176, Resulting Numbers: [93, 176]
Generated Node #3: [93, 176] from Operation: 16*11=176
Current State: 83:[93, 176], Operations: ['66-55=11', '16*11=176']
Exploring Operation: 176-93=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[16, 55, 66, 93], Operations: []
Exploring Operation: 16+55=71, Resulting Numbers: [66, 93, 71]
Generated Node #0,0: 83:[66, 93, 71] Operation: 16+55=71
Exploring Operation: 16+66=82, Resulting Numbers: [55, 93, 82]
Generated Node #0,1: 83:[55, 93, 82] Operation: 16+66=82
Exploring Operation: 93-16=77, Resulting Numbers: [55, 66, 77]
Generated Node #0,2: 83:[55, 66, 77] Operation: 93-16=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[66, 93, 71], Operations: ['16+55=71']
Exploring Operation: 66+71=137, Resulting Numbers: [93, 137]
Generated Node #0,0,0: 83:[93, 137] Operation: 66+71=137
Exploring Operation: 93-66=27, Resulting Numbers: [71, 27]
Generated Node #0,0,1: 83:[71, 27] Operation: 93-66=27
Exploring Operation: 93-71=22, Resulting Numbers: [66, 22]
Generated Node #0,0,2: 83:[66, 22] Operation: 93-71=22
Moving to Node #0,0,0
Current State: 83:[93, 137], Operations: ['16+55=71', '66+71=137']
Exploring Operation: 93*137=12741, Resulting Numbers: [12741]
12741,83 unequal: No Solution
Exploring Operation: 137-93=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 93+137=230, Resulting Numbers: [230]
230,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[71, 27], Operations: ['16+55=71', '93-66=27']
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,83 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[66, 22], Operations: ['16+55=71', '93-71=22']
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,83 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[55, 93, 82], Operations: ['16+66=82']
Exploring Operation: 55+82=137, Resulting Numbers: [93, 137]
Generated Node #0,1,0: 83:[93, 137] Operation: 55+82=137
Exploring Operation: 55+93=148, Resulting Numbers: [82, 148]
Generated Node #0,1,1: 83:[82, 148] Operation: 55+93=148
Exploring Operation: 93-55=38, Resulting Numbers: [82, 38]
Generated Node #0,1,2: 83:[82, 38] Operation: 93-55=38
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[82, 38], Operations: ['16+66=82', '93-55=38']
Exploring Operation: 82*38=3116, Resulting Numbers: [3116]
3116,83 unequal: No Solution
Exploring Operation: 82+38=120, Resulting Numbers: [120]
120,83 unequal: No Solution
Exploring Operation: 82-38=44, Resulting Numbers: [44]
44,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[93, 137], Operations: ['16+66=82', '55+82=137']
Exploring Operation: 137-93=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 93+137=230, Resulting Numbers: [230]
230,83 unequal: No Solution
Exploring Operation: 93*137=12741, Resulting Numbers: [12741]
12741,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[82, 148], Operations: ['16+66=82', '55+93=148']
Exploring Operation: 148-82=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 82+148=230, Resulting Numbers: [230]
230,83 unequal: No Solution
Exploring Operation: 82*148=12136, Resulting Numbers: [12136]
12136,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[55, 66, 77], Operations: ['93-16=77']
Exploring Operation: 66-55=11, Resulting Numbers: [77, 11]
Generated Node #0,2,0: 83:[77, 11] Operation: 66-55=11
Exploring Operation: 55+66=121, Resulting Numbers: [77, 121]
Generated Node #0,2,1: 83:[77, 121] Operation: 55+66=121
Exploring Operation: 55+77=132, Resulting Numbers: [66, 132]
Generated Node #0,2,2: 83:[66, 132] Operation: 55+77=132
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[77, 121], Operations: ['93-16=77', '55+66=121']
Exploring Operation: 77*121=9317, Resulting Numbers: [9317]
9317,83 unequal: No Solution
Exploring Operation: 77+121=198, Resulting Numbers: [198]
198,83 unequal: No Solution
Exploring Operation: 121-77=44, Resulting Numbers: [44]
44,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[66, 132], Operations: ['93-16=77', '55+77=132']
Exploring Operation: 132-66=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 132/66=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 66+132=198, Resulting Numbers: [198]
198,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[77, 11], Operations: ['93-16=77', '66-55=11']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,83 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
20,
29,
44,
7
] | 51 | [
"20+29=49",
"49/7=7",
"44+7=51"
] | Current State: 51:[20, 29, 44, 7], Operations: []
Exploring Operation: 20+29=49, Resulting Numbers: [44, 7, 49]
Generated Node #2: [44, 7, 49] from Operation: 20+29=49
Current State: 51:[44, 7, 49], Operations: ['20+29=49']
Exploring Operation: 49/7=7, Resulting Numbers: [44, 7]
Generated Node #3: [44, 7] from Operation: 49/7=7
Current State: 51:[44, 7], Operations: ['20+29=49', '49/7=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[20, 29, 44, 7], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [20, 7, 15]
Generated Node #0,0: 51:[20, 7, 15] Operation: 44-29=15
Exploring Operation: 20+29=49, Resulting Numbers: [44, 7, 49]
Generated Node #0,1: 51:[44, 7, 49] Operation: 20+29=49
Exploring Operation: 29-7=22, Resulting Numbers: [20, 44, 22]
Generated Node #0,2: 51:[20, 44, 22] Operation: 29-7=22
Moving to Node #0,0
Current State: 51:[20, 7, 15], Operations: ['44-29=15']
Exploring Operation: 20-7=13, Resulting Numbers: [15, 13]
Generated Node #0,0,0: 51:[15, 13] Operation: 20-7=13
Exploring Operation: 7+15=22, Resulting Numbers: [20, 22]
Generated Node #0,0,1: 51:[20, 22] Operation: 7+15=22
Exploring Operation: 20-15=5, Resulting Numbers: [7, 5]
Generated Node #0,0,2: 51:[7, 5] Operation: 20-15=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[15, 13], Operations: ['44-29=15', '20-7=13']
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,51 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[7, 5], Operations: ['44-29=15', '20-15=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[20, 22], Operations: ['44-29=15', '7+15=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 51:[44, 7, 49], Operations: ['20+29=49']
Exploring Operation: 49-44=5, Resulting Numbers: [7, 5]
Generated Node #0,1,0: 51:[7, 5] Operation: 49-44=5
Exploring Operation: 44+7=51, Resulting Numbers: [49, 51]
Generated Node #0,1,1: 51:[49, 51] Operation: 44+7=51
Exploring Operation: 49/7=7, Resulting Numbers: [44, 7]
Generated Node #0,1,2: 51:[44, 7] Operation: 49/7=7
Moving to Node #0,2
Current State: 51:[20, 44, 22], Operations: ['29-7=22']
Exploring Operation: 22-20=2, Resulting Numbers: [44, 2]
Generated Node #0,2,0: 51:[44, 2] Operation: 22-20=2
Exploring Operation: 44-22=22, Resulting Numbers: [20, 22]
Generated Node #0,2,1: 51:[20, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [20, 2]
Generated Node #0,2,2: 51:[20, 2] Operation: 44/22=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 51:[20, 2], Operations: ['29-7=22', '44/22=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,51 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[44, 2], Operations: ['29-7=22', '22-20=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,51 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,51 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 51:[20, 22], Operations: ['29-7=22', '44-22=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,51 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 51:[49, 51], Operations: ['20+29=49', '44+7=51']
Exploring Operation: 49*51=2499, Resulting Numbers: [2499]
2499,51 unequal: No Solution
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[7, 5], Operations: ['20+29=49', '49-44=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[44, 7], Operations: ['20+29=49', '49/7=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[20, 29, 44, 7], Operations: []
Exploring Operation: 20+29=49, Resulting Numbers: [44, 7, 49]
Generated Node #0,1: 51:[44, 7, 49] Operation: 20+29=49
Moving to Node #0,1
Current State: 51:[44, 7, 49], Operations: ['20+29=49']
Exploring Operation: 49/7=7, Resulting Numbers: [44, 7]
Generated Node #0,1,2: 51:[44, 7] Operation: 49/7=7
Moving to Node #0,1,2
Current State: 51:[44, 7], Operations: ['20+29=49', '49/7=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.963542 | hs_3 | mult_heuristic |
[
81,
2,
76,
77
] | 78 | [
"81-2=79",
"77-76=1",
"79-1=78"
] | Current State: 78:[81, 2, 76, 77], Operations: []
Exploring Operation: 81-2=79, Resulting Numbers: [76, 77, 79]
Generated Node #2: [76, 77, 79] from Operation: 81-2=79
Current State: 78:[76, 77, 79], Operations: ['81-2=79']
Exploring Operation: 77-76=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 77-76=1
Current State: 78:[79, 1], Operations: ['81-2=79', '77-76=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[81, 2, 76, 77], Operations: []
Exploring Operation: 81-76=5, Resulting Numbers: [2, 77, 5]
Generated Node #0,0: 78:[2, 77, 5] Operation: 81-76=5
Moving to Node #0,0
Current State: 78:[2, 77, 5], Operations: ['81-76=5']
Exploring Operation: 5-2=3, Resulting Numbers: [77, 3]
Generated Node #0,0,0: 78:[77, 3] Operation: 5-2=3
Moving to Node #0,0,0
Current State: 78:[77, 3], Operations: ['81-76=5', '5-2=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,78 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
67,
27,
37,
29
] | 32 | [
"67-27=40",
"37-29=8",
"40-8=32"
] | Current State: 32:[67, 27, 37, 29], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [37, 29, 40]
Generated Node #2: [37, 29, 40] from Operation: 67-27=40
Current State: 32:[37, 29, 40], Operations: ['67-27=40']
Exploring Operation: 37-29=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 37-29=8
Current State: 32:[40, 8], Operations: ['67-27=40', '37-29=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[67, 27, 37, 29], Operations: []
Exploring Operation: 67-29=38, Resulting Numbers: [27, 37, 38]
Generated Node #0,0: 32:[27, 37, 38] Operation: 67-29=38
Exploring Operation: 67-37=30, Resulting Numbers: [27, 29, 30]
Generated Node #0,1: 32:[27, 29, 30] Operation: 67-37=30
Exploring Operation: 37-27=10, Resulting Numbers: [67, 29, 10]
Generated Node #0,2: 32:[67, 29, 10] Operation: 37-27=10
Exploring Operation: 67-27=40, Resulting Numbers: [37, 29, 40]
Generated Node #0,3: 32:[37, 29, 40] Operation: 67-27=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[27, 29, 30], Operations: ['67-37=30']
Exploring Operation: 30-29=1, Resulting Numbers: [27, 1]
Generated Node #0,1,0: 32:[27, 1] Operation: 30-29=1
Exploring Operation: 30-27=3, Resulting Numbers: [29, 3]
Generated Node #0,1,1: 32:[29, 3] Operation: 30-27=3
Exploring Operation: 27+29=56, Resulting Numbers: [30, 56]
Generated Node #0,1,2: 32:[30, 56] Operation: 27+29=56
Exploring Operation: 29-27=2, Resulting Numbers: [30, 2]
Generated Node #0,1,3: 32:[30, 2] Operation: 29-27=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 32:[30, 2], Operations: ['67-37=30', '29-27=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[67, 27, 37, 29], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [27, 29, 30]
Generated Node #0,1: 32:[27, 29, 30] Operation: 67-37=30
Moving to Node #0,1
Current State: 32:[27, 29, 30], Operations: ['67-37=30']
Exploring Operation: 29-27=2, Resulting Numbers: [30, 2]
Generated Node #0,1,3: 32:[30, 2] Operation: 29-27=2
Moving to Node #0,1,3
Current State: 32:[30, 2], Operations: ['67-37=30', '29-27=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
30,
68,
25,
76
] | 63 | [
"68-30=38",
"25+76=101",
"101-38=63"
] | Current State: 63:[30, 68, 25, 76], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [25, 76, 38]
Generated Node #2: [25, 76, 38] from Operation: 68-30=38
Current State: 63:[25, 76, 38], Operations: ['68-30=38']
Exploring Operation: 25+76=101, Resulting Numbers: [38, 101]
Generated Node #3: [38, 101] from Operation: 25+76=101
Current State: 63:[38, 101], Operations: ['68-30=38', '25+76=101']
Exploring Operation: 101-38=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[30, 68, 25, 76], Operations: []
Exploring Operation: 30-25=5, Resulting Numbers: [68, 76, 5]
Generated Node #0,0: 63:[68, 76, 5] Operation: 30-25=5
Exploring Operation: 76-68=8, Resulting Numbers: [30, 25, 8]
Generated Node #0,1: 63:[30, 25, 8] Operation: 76-68=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[30, 25, 8], Operations: ['76-68=8']
Exploring Operation: 30-25=5, Resulting Numbers: [8, 5]
Generated Node #0,1,0: 63:[8, 5] Operation: 30-25=5
Exploring Operation: 30-8=22, Resulting Numbers: [25, 22]
Generated Node #0,1,1: 63:[25, 22] Operation: 30-8=22
Moving to Node #0,1,0
Current State: 63:[8, 5], Operations: ['76-68=8', '30-25=5']
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[25, 22], Operations: ['76-68=8', '30-8=22']
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[68, 76, 5], Operations: ['30-25=5']
Exploring Operation: 68-5=63, Resulting Numbers: [76, 63]
Generated Node #0,0,0: 63:[76, 63] Operation: 68-5=63
Exploring Operation: 76-68=8, Resulting Numbers: [5, 8]
Generated Node #0,0,1: 63:[5, 8] Operation: 76-68=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[5, 8], Operations: ['30-25=5', '76-68=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[76, 63], Operations: ['30-25=5', '68-5=63']
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 76+63=139, Resulting Numbers: [139]
139,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
80,
19,
26
] | 37 | [
"80-26=54",
"54/3=18",
"19+18=37"
] | Current State: 37:[3, 80, 19, 26], Operations: []
Exploring Operation: 80-26=54, Resulting Numbers: [3, 19, 54]
Generated Node #2: [3, 19, 54] from Operation: 80-26=54
Current State: 37:[3, 19, 54], Operations: ['80-26=54']
Exploring Operation: 54/3=18, Resulting Numbers: [19, 18]
Generated Node #3: [19, 18] from Operation: 54/3=18
Current State: 37:[19, 18], Operations: ['80-26=54', '54/3=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[3, 80, 19, 26], Operations: []
Exploring Operation: 3+19=22, Resulting Numbers: [80, 26, 22]
Generated Node #0,0: 37:[80, 26, 22] Operation: 3+19=22
Exploring Operation: 80-3=77, Resulting Numbers: [19, 26, 77]
Generated Node #0,1: 37:[19, 26, 77] Operation: 80-3=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[80, 26, 22], Operations: ['3+19=22']
Exploring Operation: 80-26=54, Resulting Numbers: [22, 54]
Generated Node #0,0,0: 37:[22, 54] Operation: 80-26=54
Exploring Operation: 80-22=58, Resulting Numbers: [26, 58]
Generated Node #0,0,1: 37:[26, 58] Operation: 80-22=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[22, 54], Operations: ['3+19=22', '80-26=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[26, 58], Operations: ['3+19=22', '80-22=58']
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[19, 26, 77], Operations: ['80-3=77']
Exploring Operation: 77-19=58, Resulting Numbers: [26, 58]
Generated Node #0,1,0: 37:[26, 58] Operation: 77-19=58
Exploring Operation: 77-26=51, Resulting Numbers: [19, 51]
Generated Node #0,1,1: 37:[19, 51] Operation: 77-26=51
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[26, 58], Operations: ['80-3=77', '77-19=58']
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,37 unequal: No Solution
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[19, 51], Operations: ['80-3=77', '77-26=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
19,
42,
58
] | 37 | [
"44+19=63",
"42+58=100",
"100-63=37"
] | Current State: 37:[44, 19, 42, 58], Operations: []
Exploring Operation: 44+19=63, Resulting Numbers: [42, 58, 63]
Generated Node #2: [42, 58, 63] from Operation: 44+19=63
Current State: 37:[42, 58, 63], Operations: ['44+19=63']
Exploring Operation: 42+58=100, Resulting Numbers: [63, 100]
Generated Node #3: [63, 100] from Operation: 42+58=100
Current State: 37:[63, 100], Operations: ['44+19=63', '42+58=100']
Exploring Operation: 100-63=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[44, 19, 42, 58], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [44, 42, 39]
Generated Node #0,0: 37:[44, 42, 39] Operation: 58-19=39
Moving to Node #0,0
Current State: 37:[44, 42, 39], Operations: ['58-19=39']
Exploring Operation: 44-42=2, Resulting Numbers: [39, 2]
Generated Node #0,0,0: 37:[39, 2] Operation: 44-42=2
Moving to Node #0,0,0
Current State: 37:[39, 2], Operations: ['58-19=39', '44-42=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[44, 19, 42, 58], Operations: []
Exploring Operation: 58-19=39, Resulting Numbers: [44, 42, 39]
Generated Node #0,0: 37:[44, 42, 39] Operation: 58-19=39
Moving to Node #0,0
Current State: 37:[44, 42, 39], Operations: ['58-19=39']
Exploring Operation: 44-42=2, Resulting Numbers: [39, 2]
Generated Node #0,0,0: 37:[39, 2] Operation: 44-42=2
Moving to Node #0,0,0
Current State: 37:[39, 2], Operations: ['58-19=39', '44-42=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
92,
15,
15,
31
] | 61 | [
"92+15=107",
"15+31=46",
"107-46=61"
] | Current State: 61:[92, 15, 15, 31], Operations: []
Exploring Operation: 92+15=107, Resulting Numbers: [31, 107]
Generated Node #2: [31, 107] from Operation: 92+15=107
Current State: 61:[31, 107], Operations: ['92+15=107']
Exploring Operation: 15+31=46, Resulting Numbers: [107, 46]
Generated Node #3: [107, 46] from Operation: 15+31=46
Current State: 61:[107, 46], Operations: ['92+15=107', '15+31=46']
Exploring Operation: 107-46=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[92, 15, 15, 31], Operations: []
Exploring Operation: 92-31=61, Resulting Numbers: [15, 15, 61]
Generated Node #0,0: 61:[15, 15, 61] Operation: 92-31=61
Exploring Operation: 92-15=77, Resulting Numbers: [15, 31, 77]
Generated Node #0,1: 61:[15, 31, 77] Operation: 92-15=77
Exploring Operation: 92-15=77, Resulting Numbers: [15, 31, 77]
Generated Node #0,2: 61:[15, 31, 77] Operation: 92-15=77
Exploring Operation: 15+15=30, Resulting Numbers: [92, 31, 30]
Generated Node #0,3: 61:[92, 31, 30] Operation: 15+15=30
Moving to Node #0,0
Current State: 61:[15, 15, 61], Operations: ['92-31=61']
Exploring Operation: 15+61=76, Resulting Numbers: [15, 76]
Generated Node #0,0,0: 61:[15, 76] Operation: 15+61=76
Exploring Operation: 15+15=30, Resulting Numbers: [61, 30]
Generated Node #0,0,1: 61:[61, 30] Operation: 15+15=30
Exploring Operation: 15-15=0, Resulting Numbers: [61, 0]
Generated Node #0,0,2: 61:[61, 0] Operation: 15-15=0
Exploring Operation: 15/15=1, Resulting Numbers: [61, 1]
Generated Node #0,0,3: 61:[61, 1] Operation: 15/15=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[61, 30], Operations: ['92-31=61', '15+15=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,61 unequal: No Solution
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,61 unequal: No Solution
Exploring Operation: 61*30=1830, Resulting Numbers: [1830]
1830,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[61, 1], Operations: ['92-31=61', '15/15=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[92, 15, 15, 31], Operations: []
Exploring Operation: 92-31=61, Resulting Numbers: [15, 15, 61]
Generated Node #0,0: 61:[15, 15, 61] Operation: 92-31=61
Moving to Node #0,0
Current State: 61:[15, 15, 61], Operations: ['92-31=61']
Exploring Operation: 15/15=1, Resulting Numbers: [61, 1]
Generated Node #0,0,3: 61:[61, 1] Operation: 15/15=1
Moving to Node #0,0,3
Current State: 61:[61, 1], Operations: ['92-31=61', '15/15=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
90,
92,
99,
83
] | 81 | [
"99-90=9",
"92-83=9",
"9*9=81"
] | Current State: 81:[90, 92, 99, 83], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [92, 83, 9]
Generated Node #2: [92, 83, 9] from Operation: 99-90=9
Current State: 81:[92, 83, 9], Operations: ['99-90=9']
Exploring Operation: 92-83=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 92-83=9
Current State: 81:[9, 9], Operations: ['99-90=9', '92-83=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[90, 92, 99, 83], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [92, 83, 9]
Generated Node #0,0: 81:[92, 83, 9] Operation: 99-90=9
Moving to Node #0,0
Current State: 81:[92, 83, 9], Operations: ['99-90=9']
Exploring Operation: 92-83=9, Resulting Numbers: [9, 9]
Generated Node #0,0,0: 81:[9, 9] Operation: 92-83=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[9, 9], Operations: ['99-90=9', '92-83=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[90, 92, 99, 83], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [92, 83, 9]
Generated Node #0,0: 81:[92, 83, 9] Operation: 99-90=9
Moving to Node #0,0
Current State: 81:[92, 83, 9], Operations: ['99-90=9']
Exploring Operation: 92-83=9, Resulting Numbers: [9, 9]
Generated Node #0,0,0: 81:[9, 9] Operation: 92-83=9
Moving to Node #0,0,0
Current State: 81:[9, 9], Operations: ['99-90=9', '92-83=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
28,
61,
14,
79
] | 98 | [
"61-28=33",
"79-14=65",
"33+65=98"
] | Current State: 98:[28, 61, 14, 79], Operations: []
Exploring Operation: 61-28=33, Resulting Numbers: [14, 79, 33]
Generated Node #2: [14, 79, 33] from Operation: 61-28=33
Current State: 98:[14, 79, 33], Operations: ['61-28=33']
Exploring Operation: 79-14=65, Resulting Numbers: [33, 65]
Generated Node #3: [33, 65] from Operation: 79-14=65
Current State: 98:[33, 65], Operations: ['61-28=33', '79-14=65']
Exploring Operation: 33+65=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[28, 61, 14, 79], Operations: []
Exploring Operation: 79-28=51, Resulting Numbers: [61, 14, 51]
Generated Node #0,0: 98:[61, 14, 51] Operation: 79-28=51
Moving to Node #0,0
Current State: 98:[61, 14, 51], Operations: ['79-28=51']
Exploring Operation: 61-51=10, Resulting Numbers: [14, 10]
Generated Node #0,0,0: 98:[14, 10] Operation: 61-51=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[14, 10], Operations: ['79-28=51', '61-51=10']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
22,
60,
33,
2
] | 88 | [
"60*33=1980",
"1980/22=90",
"90-2=88"
] | Current State: 88:[22, 60, 33, 2], Operations: []
Exploring Operation: 60*33=1980, Resulting Numbers: [22, 2, 1980]
Generated Node #2: [22, 2, 1980] from Operation: 60*33=1980
Current State: 88:[22, 2, 1980], Operations: ['60*33=1980']
Exploring Operation: 1980/22=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 1980/22=90
Current State: 88:[2, 90], Operations: ['60*33=1980', '1980/22=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[22, 60, 33, 2], Operations: []
Exploring Operation: 60+33=93, Resulting Numbers: [22, 2, 93]
Generated Node #0,0: 88:[22, 2, 93] Operation: 60+33=93
Exploring Operation: 33-22=11, Resulting Numbers: [60, 2, 11]
Generated Node #0,1: 88:[60, 2, 11] Operation: 33-22=11
Exploring Operation: 60-33=27, Resulting Numbers: [22, 2, 27]
Generated Node #0,2: 88:[22, 2, 27] Operation: 60-33=27
Exploring Operation: 22+60=82, Resulting Numbers: [33, 2, 82]
Generated Node #0,3: 88:[33, 2, 82] Operation: 22+60=82
Moving to Node #0,0
Current State: 88:[22, 2, 93], Operations: ['60+33=93']
Exploring Operation: 93-2=91, Resulting Numbers: [22, 91]
Generated Node #0,0,0: 88:[22, 91] Operation: 93-2=91
Exploring Operation: 22+2=24, Resulting Numbers: [93, 24]
Generated Node #0,0,1: 88:[93, 24] Operation: 22+2=24
Exploring Operation: 22/2=11, Resulting Numbers: [93, 11]
Generated Node #0,0,2: 88:[93, 11] Operation: 22/2=11
Exploring Operation: 22*2=44, Resulting Numbers: [93, 44]
Generated Node #0,0,3: 88:[93, 44] Operation: 22*2=44
Moving to Node #0,2
Current State: 88:[22, 2, 27], Operations: ['60-33=27']
Exploring Operation: 22/2=11, Resulting Numbers: [27, 11]
Generated Node #0,2,0: 88:[27, 11] Operation: 22/2=11
Exploring Operation: 22*2=44, Resulting Numbers: [27, 44]
Generated Node #0,2,1: 88:[27, 44] Operation: 22*2=44
Exploring Operation: 27-2=25, Resulting Numbers: [22, 25]
Generated Node #0,2,2: 88:[22, 25] Operation: 27-2=25
Exploring Operation: 27-22=5, Resulting Numbers: [2, 5]
Generated Node #0,2,3: 88:[2, 5] Operation: 27-22=5
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[2, 5], Operations: ['60-33=27', '27-22=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[22, 25], Operations: ['60-33=27', '27-2=25']
Exploring Operation: 22*25=550, Resulting Numbers: [550]
550,88 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[27, 11], Operations: ['60-33=27', '22/2=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,88 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[27, 44], Operations: ['60-33=27', '22*2=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 88:[60, 2, 11], Operations: ['33-22=11']
Exploring Operation: 60-2=58, Resulting Numbers: [11, 58]
Generated Node #0,1,0: 88:[11, 58] Operation: 60-2=58
Exploring Operation: 60/2=30, Resulting Numbers: [11, 30]
Generated Node #0,1,1: 88:[11, 30] Operation: 60/2=30
Exploring Operation: 60-11=49, Resulting Numbers: [2, 49]
Generated Node #0,1,2: 88:[2, 49] Operation: 60-11=49
Exploring Operation: 2*11=22, Resulting Numbers: [60, 22]
Generated Node #0,1,3: 88:[60, 22] Operation: 2*11=22
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[2, 49], Operations: ['33-22=11', '60-11=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,88 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[11, 30], Operations: ['33-22=11', '60/2=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,88 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[11, 58], Operations: ['33-22=11', '60-2=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,88 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[60, 22], Operations: ['33-22=11', '2*11=22']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,88 unequal: No Solution
Exploring Operation: 60*22=1320, Resulting Numbers: [1320]
1320,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 88:[33, 2, 82], Operations: ['22+60=82']
Exploring Operation: 82/2=41, Resulting Numbers: [33, 41]
Generated Node #0,3,0: 88:[33, 41] Operation: 82/2=41
Exploring Operation: 33+2=35, Resulting Numbers: [82, 35]
Generated Node #0,3,1: 88:[82, 35] Operation: 33+2=35
Exploring Operation: 33-2=31, Resulting Numbers: [82, 31]
Generated Node #0,3,2: 88:[82, 31] Operation: 33-2=31
Exploring Operation: 82-33=49, Resulting Numbers: [2, 49]
Generated Node #0,3,3: 88:[2, 49] Operation: 82-33=49
Moving to Node #0,0,0
Current State: 88:[22, 91], Operations: ['60+33=93', '93-2=91']
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,88 unequal: No Solution
Exploring Operation: 22+91=113, Resulting Numbers: [113]
113,88 unequal: No Solution
Exploring Operation: 22*91=2002, Resulting Numbers: [2002]
2002,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[93, 44], Operations: ['60+33=93', '22*2=44']
Exploring Operation: 93+44=137, Resulting Numbers: [137]
137,88 unequal: No Solution
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 93*44=4092, Resulting Numbers: [4092]
4092,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[93, 11], Operations: ['60+33=93', '22/2=11']
Exploring Operation: 93*11=1023, Resulting Numbers: [1023]
1023,88 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,88 unequal: No Solution
Exploring Operation: 93+11=104, Resulting Numbers: [104]
104,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[2, 49], Operations: ['22+60=82', '82-33=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,88 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[93, 24], Operations: ['60+33=93', '22+2=24']
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,88 unequal: No Solution
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,88 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[33, 41], Operations: ['22+60=82', '82/2=41']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 33*41=1353, Resulting Numbers: [1353]
1353,88 unequal: No Solution
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[82, 31], Operations: ['22+60=82', '33-2=31']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 82*31=2542, Resulting Numbers: [2542]
2542,88 unequal: No Solution
Exploring Operation: 82+31=113, Resulting Numbers: [113]
113,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[82, 35], Operations: ['22+60=82', '33+2=35']
Exploring Operation: 82*35=2870, Resulting Numbers: [2870]
2870,88 unequal: No Solution
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,88 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,88 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
68,
42,
63,
51
] | 14 | [
"68-42=26",
"63-51=12",
"26-12=14"
] | Current State: 14:[68, 42, 63, 51], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [63, 51, 26]
Generated Node #2: [63, 51, 26] from Operation: 68-42=26
Current State: 14:[63, 51, 26], Operations: ['68-42=26']
Exploring Operation: 63-51=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 63-51=12
Current State: 14:[26, 12], Operations: ['68-42=26', '63-51=12']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[68, 42, 63, 51], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [42, 51, 5]
Generated Node #0,0: 14:[42, 51, 5] Operation: 68-63=5
Exploring Operation: 68-51=17, Resulting Numbers: [42, 63, 17]
Generated Node #0,1: 14:[42, 63, 17] Operation: 68-51=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[42, 51, 5], Operations: ['68-63=5']
Exploring Operation: 42-5=37, Resulting Numbers: [51, 37]
Generated Node #0,0,0: 14:[51, 37] Operation: 42-5=37
Exploring Operation: 51-42=9, Resulting Numbers: [5, 9]
Generated Node #0,0,1: 14:[5, 9] Operation: 51-42=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[5, 9], Operations: ['68-63=5', '51-42=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[68, 42, 63, 51], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [42, 51, 5]
Generated Node #0,0: 14:[42, 51, 5] Operation: 68-63=5
Moving to Node #0,0
Current State: 14:[42, 51, 5], Operations: ['68-63=5']
Exploring Operation: 51-42=9, Resulting Numbers: [5, 9]
Generated Node #0,0,1: 14:[5, 9] Operation: 51-42=9
Moving to Node #0,0,1
Current State: 14:[5, 9], Operations: ['68-63=5', '51-42=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
72,
93,
25,
68
] | 71 | [
"93-25=68",
"68/68=1",
"72-1=71"
] | Current State: 71:[72, 93, 25, 68], Operations: []
Exploring Operation: 93-25=68, Resulting Numbers: [72, 68, 68]
Generated Node #2: [72, 68, 68] from Operation: 93-25=68
Current State: 71:[72, 68, 68], Operations: ['93-25=68']
Exploring Operation: 68/68=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 68/68=1
Current State: 71:[72, 1], Operations: ['93-25=68', '68/68=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[72, 93, 25, 68], Operations: []
Exploring Operation: 25+68=93, Resulting Numbers: [72, 93, 93]
Generated Node #0,0: 71:[72, 93, 93] Operation: 25+68=93
Exploring Operation: 72+25=97, Resulting Numbers: [93, 68, 97]
Generated Node #0,1: 71:[93, 68, 97] Operation: 72+25=97
Exploring Operation: 93-25=68, Resulting Numbers: [72, 68, 68]
Generated Node #0,2: 71:[72, 68, 68] Operation: 93-25=68
Exploring Operation: 72-25=47, Resulting Numbers: [93, 68, 47]
Generated Node #0,3: 71:[93, 68, 47] Operation: 72-25=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[72, 68, 68], Operations: ['93-25=68']
Exploring Operation: 68+68=136, Resulting Numbers: [72, 136]
Generated Node #0,2,0: 71:[72, 136] Operation: 68+68=136
Exploring Operation: 72-68=4, Resulting Numbers: [68, 4]
Generated Node #0,2,1: 71:[68, 4] Operation: 72-68=4
Exploring Operation: 72-68=4, Resulting Numbers: [68, 4]
Generated Node #0,2,2: 71:[68, 4] Operation: 72-68=4
Exploring Operation: 68/68=1, Resulting Numbers: [72, 1]
Generated Node #0,2,3: 71:[72, 1] Operation: 68/68=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[72, 136], Operations: ['93-25=68', '68+68=136']
Exploring Operation: 136-72=64, Resulting Numbers: [64]
64,71 unequal: No Solution
Exploring Operation: 72+136=208, Resulting Numbers: [208]
208,71 unequal: No Solution
Exploring Operation: 72*136=9792, Resulting Numbers: [9792]
9792,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[68, 4], Operations: ['93-25=68', '72-68=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,71 unequal: No Solution
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,71 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,71 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[68, 4], Operations: ['93-25=68', '72-68=4']
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,71 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,71 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,71 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 71:[72, 1], Operations: ['93-25=68', '68/68=1']
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,71 unequal: No Solution
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[72, 93, 25, 68], Operations: []
Exploring Operation: 93-25=68, Resulting Numbers: [72, 68, 68]
Generated Node #0,2: 71:[72, 68, 68] Operation: 93-25=68
Moving to Node #0,2
Current State: 71:[72, 68, 68], Operations: ['93-25=68']
Exploring Operation: 68/68=1, Resulting Numbers: [72, 1]
Generated Node #0,2,3: 71:[72, 1] Operation: 68/68=1
Moving to Node #0,2,3
Current State: 71:[72, 1], Operations: ['93-25=68', '68/68=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
1,
72,
55,
27
] | 44 | [
"1*72=72",
"55-27=28",
"72-28=44"
] | Current State: 44:[1, 72, 55, 27], Operations: []
Exploring Operation: 1*72=72, Resulting Numbers: [55, 27, 72]
Generated Node #2: [55, 27, 72] from Operation: 1*72=72
Current State: 44:[55, 27, 72], Operations: ['1*72=72']
Exploring Operation: 55-27=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 55-27=28
Current State: 44:[72, 28], Operations: ['1*72=72', '55-27=28']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[1, 72, 55, 27], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [1, 27, 17]
Generated Node #0,0: 44:[1, 27, 17] Operation: 72-55=17
Exploring Operation: 72-27=45, Resulting Numbers: [1, 55, 45]
Generated Node #0,1: 44:[1, 55, 45] Operation: 72-27=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[1, 27, 17], Operations: ['72-55=17']
Exploring Operation: 27-17=10, Resulting Numbers: [1, 10]
Generated Node #0,0,0: 44:[1, 10] Operation: 27-17=10
Exploring Operation: 27+17=44, Resulting Numbers: [1, 44]
Generated Node #0,0,1: 44:[1, 44] Operation: 27+17=44
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 44:[1, 44], Operations: ['72-55=17', '27+17=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[1, 72, 55, 27], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [1, 27, 17]
Generated Node #0,0: 44:[1, 27, 17] Operation: 72-55=17
Moving to Node #0,0
Current State: 44:[1, 27, 17], Operations: ['72-55=17']
Exploring Operation: 27+17=44, Resulting Numbers: [1, 44]
Generated Node #0,0,1: 44:[1, 44] Operation: 27+17=44
Moving to Node #0,0,1
Current State: 44:[1, 44], Operations: ['72-55=17', '27+17=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
69,
5,
56,
42
] | 87 | [
"69*56=3864",
"3864/42=92",
"92-5=87"
] | Current State: 87:[69, 5, 56, 42], Operations: []
Exploring Operation: 69*56=3864, Resulting Numbers: [5, 42, 3864]
Generated Node #2: [5, 42, 3864] from Operation: 69*56=3864
Current State: 87:[5, 42, 3864], Operations: ['69*56=3864']
Exploring Operation: 3864/42=92, Resulting Numbers: [5, 92]
Generated Node #3: [5, 92] from Operation: 3864/42=92
Current State: 87:[5, 92], Operations: ['69*56=3864', '3864/42=92']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[69, 5, 56, 42], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [5, 42, 13]
Generated Node #0,0: 87:[5, 42, 13] Operation: 69-56=13
Moving to Node #0,0
Current State: 87:[5, 42, 13], Operations: ['69-56=13']
Exploring Operation: 42-13=29, Resulting Numbers: [5, 29]
Generated Node #0,0,0: 87:[5, 29] Operation: 42-13=29
Moving to Node #0,0,0
Current State: 87:[5, 29], Operations: ['69-56=13', '42-13=29']
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,87 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
70,
3,
44,
14
] | 37 | [
"70-3=67",
"44-14=30",
"67-30=37"
] | Current State: 37:[70, 3, 44, 14], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [44, 14, 67]
Generated Node #2: [44, 14, 67] from Operation: 70-3=67
Current State: 37:[44, 14, 67], Operations: ['70-3=67']
Exploring Operation: 44-14=30, Resulting Numbers: [67, 30]
Generated Node #3: [67, 30] from Operation: 44-14=30
Current State: 37:[67, 30], Operations: ['70-3=67', '44-14=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[70, 3, 44, 14], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [70, 44, 42]
Generated Node #0,0: 37:[70, 44, 42] Operation: 3*14=42
Exploring Operation: 70-3=67, Resulting Numbers: [44, 14, 67]
Generated Node #0,1: 37:[44, 14, 67] Operation: 70-3=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[70, 44, 42], Operations: ['3*14=42']
Exploring Operation: 70-42=28, Resulting Numbers: [44, 28]
Generated Node #0,0,0: 37:[44, 28] Operation: 70-42=28
Exploring Operation: 70-44=26, Resulting Numbers: [42, 26]
Generated Node #0,0,1: 37:[42, 26] Operation: 70-44=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[44, 28], Operations: ['3*14=42', '70-42=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[42, 26], Operations: ['3*14=42', '70-44=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[44, 14, 67], Operations: ['70-3=67']
Exploring Operation: 67-14=53, Resulting Numbers: [44, 53]
Generated Node #0,1,0: 37:[44, 53] Operation: 67-14=53
Exploring Operation: 44-14=30, Resulting Numbers: [67, 30]
Generated Node #0,1,1: 37:[67, 30] Operation: 44-14=30
Moving to Node #0,1,0
Current State: 37:[44, 53], Operations: ['70-3=67', '67-14=53']
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[67, 30], Operations: ['70-3=67', '44-14=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,37 unequal: No Solution
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[70, 3, 44, 14], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [44, 14, 67]
Generated Node #0,1: 37:[44, 14, 67] Operation: 70-3=67
Moving to Node #0,1
Current State: 37:[44, 14, 67], Operations: ['70-3=67']
Exploring Operation: 44-14=30, Resulting Numbers: [67, 30]
Generated Node #0,1,1: 37:[67, 30] Operation: 44-14=30
Moving to Node #0,1,1
Current State: 37:[67, 30], Operations: ['70-3=67', '44-14=30']
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
21,
92,
91,
98
] | 35 | [
"98-92=6",
"21*6=126",
"126-91=35"
] | Current State: 35:[21, 92, 91, 98], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [21, 91, 6]
Generated Node #2: [21, 91, 6] from Operation: 98-92=6
Current State: 35:[21, 91, 6], Operations: ['98-92=6']
Exploring Operation: 21*6=126, Resulting Numbers: [91, 126]
Generated Node #3: [91, 126] from Operation: 21*6=126
Current State: 35:[91, 126], Operations: ['98-92=6', '21*6=126']
Exploring Operation: 126-91=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[21, 92, 91, 98], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [21, 91, 6]
Generated Node #0,0: 35:[21, 91, 6] Operation: 98-92=6
Moving to Node #0,0
Current State: 35:[21, 91, 6], Operations: ['98-92=6']
Exploring Operation: 91-21=70, Resulting Numbers: [6, 70]
Generated Node #0,0,0: 35:[6, 70] Operation: 91-21=70
Moving to Node #0,0,0
Current State: 35:[6, 70], Operations: ['98-92=6', '91-21=70']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,35 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
14,
56,
57,
62
] | 37 | [
"56-14=42",
"62-57=5",
"42-5=37"
] | Current State: 37:[14, 56, 57, 62], Operations: []
Exploring Operation: 56-14=42, Resulting Numbers: [57, 62, 42]
Generated Node #2: [57, 62, 42] from Operation: 56-14=42
Current State: 37:[57, 62, 42], Operations: ['56-14=42']
Exploring Operation: 62-57=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 62-57=5
Current State: 37:[42, 5], Operations: ['56-14=42', '62-57=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[14, 56, 57, 62], Operations: []
Exploring Operation: 62-14=48, Resulting Numbers: [56, 57, 48]
Generated Node #0,0: 37:[56, 57, 48] Operation: 62-14=48
Exploring Operation: 56-14=42, Resulting Numbers: [57, 62, 42]
Generated Node #0,1: 37:[57, 62, 42] Operation: 56-14=42
Exploring Operation: 62-56=6, Resulting Numbers: [14, 57, 6]
Generated Node #0,2: 37:[14, 57, 6] Operation: 62-56=6
Exploring Operation: 57-14=43, Resulting Numbers: [56, 62, 43]
Generated Node #0,3: 37:[56, 62, 43] Operation: 57-14=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[56, 57, 48], Operations: ['62-14=48']
Exploring Operation: 56+57=113, Resulting Numbers: [48, 113]
Generated Node #0,0,0: 37:[48, 113] Operation: 56+57=113
Exploring Operation: 56-48=8, Resulting Numbers: [57, 8]
Generated Node #0,0,1: 37:[57, 8] Operation: 56-48=8
Exploring Operation: 57-56=1, Resulting Numbers: [48, 1]
Generated Node #0,0,2: 37:[48, 1] Operation: 57-56=1
Exploring Operation: 57-48=9, Resulting Numbers: [56, 9]
Generated Node #0,0,3: 37:[56, 9] Operation: 57-48=9
Moving to Node #0,0,2
Current State: 37:[48, 1], Operations: ['62-14=48', '57-56=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[56, 9], Operations: ['62-14=48', '57-48=9']
Exploring Operation: 56*9=504, Resulting Numbers: [504]
504,37 unequal: No Solution
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[57, 8], Operations: ['62-14=48', '56-48=8']
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,37 unequal: No Solution
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[48, 113], Operations: ['62-14=48', '56+57=113']
Exploring Operation: 48*113=5424, Resulting Numbers: [5424]
5424,37 unequal: No Solution
Exploring Operation: 113-48=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 48+113=161, Resulting Numbers: [161]
161,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[57, 62, 42], Operations: ['56-14=42']
Exploring Operation: 57+62=119, Resulting Numbers: [42, 119]
Generated Node #0,1,0: 37:[42, 119] Operation: 57+62=119
Exploring Operation: 57-42=15, Resulting Numbers: [62, 15]
Generated Node #0,1,1: 37:[62, 15] Operation: 57-42=15
Exploring Operation: 62-42=20, Resulting Numbers: [57, 20]
Generated Node #0,1,2: 37:[57, 20] Operation: 62-42=20
Exploring Operation: 62-57=5, Resulting Numbers: [42, 5]
Generated Node #0,1,3: 37:[42, 5] Operation: 62-57=5
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[57, 20], Operations: ['56-14=42', '62-42=20']
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,37 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[14, 56, 57, 62], Operations: []
Exploring Operation: 56-14=42, Resulting Numbers: [57, 62, 42]
Generated Node #0,1: 37:[57, 62, 42] Operation: 56-14=42
Moving to Node #0,1
Current State: 37:[57, 62, 42], Operations: ['56-14=42']
Exploring Operation: 62-42=20, Resulting Numbers: [57, 20]
Generated Node #0,1,2: 37:[57, 20] Operation: 62-42=20
Moving to Node #0,1,2
Current State: 37:[57, 20], Operations: ['56-14=42', '62-42=20']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
49,
50,
7,
90
] | 27 | [
"49+50=99",
"90+99=189",
"189/7=27"
] | Current State: 27:[49, 50, 7, 90], Operations: []
Exploring Operation: 49+50=99, Resulting Numbers: [7, 90, 99]
Generated Node #2: [7, 90, 99] from Operation: 49+50=99
Current State: 27:[7, 90, 99], Operations: ['49+50=99']
Exploring Operation: 90+99=189, Resulting Numbers: [7, 189]
Generated Node #3: [7, 189] from Operation: 90+99=189
Current State: 27:[7, 189], Operations: ['49+50=99', '90+99=189']
Exploring Operation: 189/7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[49, 50, 7, 90], Operations: []
Exploring Operation: 90-50=40, Resulting Numbers: [49, 7, 40]
Generated Node #0,0: 27:[49, 7, 40] Operation: 90-50=40
Moving to Node #0,0
Current State: 27:[49, 7, 40], Operations: ['90-50=40']
Exploring Operation: 49-40=9, Resulting Numbers: [7, 9]
Generated Node #0,0,0: 27:[7, 9] Operation: 49-40=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[7, 9], Operations: ['90-50=40', '49-40=9']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
4,
69,
69,
60
] | 20 | [
"69/69=1",
"4-1=3",
"60/3=20"
] | Current State: 20:[4, 69, 69, 60], Operations: []
Exploring Operation: 69/69=1, Resulting Numbers: [4, 60, 1]
Generated Node #2: [4, 60, 1] from Operation: 69/69=1
Current State: 20:[4, 60, 1], Operations: ['69/69=1']
Exploring Operation: 4-1=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 4-1=3
Current State: 20:[60, 3], Operations: ['69/69=1', '4-1=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[4, 69, 69, 60], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [4, 69, 9]
Generated Node #0,0: 20:[4, 69, 9] Operation: 69-60=9
Exploring Operation: 69/69=1, Resulting Numbers: [4, 60, 1]
Generated Node #0,1: 20:[4, 60, 1] Operation: 69/69=1
Exploring Operation: 69-60=9, Resulting Numbers: [4, 69, 9]
Generated Node #0,2: 20:[4, 69, 9] Operation: 69-60=9
Exploring Operation: 69-69=0, Resulting Numbers: [4, 60, 0]
Generated Node #0,3: 20:[4, 60, 0] Operation: 69-69=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[4, 60, 1], Operations: ['69/69=1']
Exploring Operation: 60/4=15, Resulting Numbers: [1, 15]
Generated Node #0,1,0: 20:[1, 15] Operation: 60/4=15
Exploring Operation: 4+1=5, Resulting Numbers: [60, 5]
Generated Node #0,1,1: 20:[60, 5] Operation: 4+1=5
Exploring Operation: 60-4=56, Resulting Numbers: [1, 56]
Generated Node #0,1,2: 20:[1, 56] Operation: 60-4=56
Exploring Operation: 60-1=59, Resulting Numbers: [4, 59]
Generated Node #0,1,3: 20:[4, 59] Operation: 60-1=59
Moving to Node #0,1,0
Current State: 20:[1, 15], Operations: ['69/69=1', '60/4=15']
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[1, 56], Operations: ['69/69=1', '60-4=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,20 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[4, 59], Operations: ['69/69=1', '60-1=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,20 unequal: No Solution
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,20 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[60, 5], Operations: ['69/69=1', '4+1=5']
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,20 unequal: No Solution
Exploring Operation: 60*5=300, Resulting Numbers: [300]
300,20 unequal: No Solution
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,20 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 20:[4, 60, 0], Operations: ['69-69=0']
Exploring Operation: 60-4=56, Resulting Numbers: [0, 56]
Generated Node #0,3,0: 20:[0, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [0, 15]
Generated Node #0,3,1: 20:[0, 15] Operation: 60/4=15
Exploring Operation: 60*0=0, Resulting Numbers: [4, 0]
Generated Node #0,3,2: 20:[4, 0] Operation: 60*0=0
Exploring Operation: 4+0=4, Resulting Numbers: [60, 4]
Generated Node #0,3,3: 20:[60, 4] Operation: 4+0=4
Moving to Node #0,3,2
Current State: 20:[4, 0], Operations: ['69-69=0', '60*0=0']
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Moving to Node #0,3,1
Current State: 20:[0, 15], Operations: ['69-69=0', '60/4=15']
Exploring Operation: 15-0=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 0*15=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 0+15=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Moving to Node #0,3,0
Current State: 20:[0, 56], Operations: ['69-69=0', '60-4=56']
Exploring Operation: 56-0=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 0+56=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 0*56=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Moving to Node #0,3,3
Current State: 20:[60, 4], Operations: ['69-69=0', '4+0=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,20 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[4, 69, 9], Operations: ['69-60=9']
Exploring Operation: 69-9=60, Resulting Numbers: [4, 60]
Generated Node #0,0,0: 20:[4, 60] Operation: 69-9=60
Exploring Operation: 69-4=65, Resulting Numbers: [9, 65]
Generated Node #0,0,1: 20:[9, 65] Operation: 69-4=65
Exploring Operation: 4+9=13, Resulting Numbers: [69, 13]
Generated Node #0,0,2: 20:[69, 13] Operation: 4+9=13
Exploring Operation: 9-4=5, Resulting Numbers: [69, 5]
Generated Node #0,0,3: 20:[69, 5] Operation: 9-4=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[4, 60], Operations: ['69-60=9', '69-9=60']
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,20 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 20:[9, 65], Operations: ['69-60=9', '69-4=65']
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,20 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 20:[69, 5], Operations: ['69-60=9', '9-4=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,20 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,20 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 20:[69, 13], Operations: ['69-60=9', '4+9=13']
Exploring Operation: 69*13=897, Resulting Numbers: [897]
897,20 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 69+13=82, Resulting Numbers: [82]
82,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[4, 69, 9], Operations: ['69-60=9']
Exploring Operation: 69-9=60, Resulting Numbers: [4, 60]
Generated Node #0,2,0: 20:[4, 60] Operation: 69-9=60
Exploring Operation: 9-4=5, Resulting Numbers: [69, 5]
Generated Node #0,2,1: 20:[69, 5] Operation: 9-4=5
Exploring Operation: 4+9=13, Resulting Numbers: [69, 13]
Generated Node #0,2,2: 20:[69, 13] Operation: 4+9=13
Exploring Operation: 69-4=65, Resulting Numbers: [9, 65]
Generated Node #0,2,3: 20:[9, 65] Operation: 69-4=65
Moving to Node #0,2,0
Current State: 20:[4, 60], Operations: ['69-60=9', '69-9=60']
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,20 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Moving to Node #0,2,3
Current State: 20:[9, 65], Operations: ['69-60=9', '69-4=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,20 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,20 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[69, 5], Operations: ['69-60=9', '9-4=5']
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,20 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,20 unequal: No Solution
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[69, 13], Operations: ['69-60=9', '4+9=13']
Exploring Operation: 69+13=82, Resulting Numbers: [82]
82,20 unequal: No Solution
Exploring Operation: 69*13=897, Resulting Numbers: [897]
897,20 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
68,
3,
14,
45
] | 53 | [
"68+14=82",
"3*45=135",
"135-82=53"
] | Current State: 53:[68, 3, 14, 45], Operations: []
Exploring Operation: 68+14=82, Resulting Numbers: [3, 45, 82]
Generated Node #2: [3, 45, 82] from Operation: 68+14=82
Current State: 53:[3, 45, 82], Operations: ['68+14=82']
Exploring Operation: 3*45=135, Resulting Numbers: [82, 135]
Generated Node #3: [82, 135] from Operation: 3*45=135
Current State: 53:[82, 135], Operations: ['68+14=82', '3*45=135']
Exploring Operation: 135-82=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[68, 3, 14, 45], Operations: []
Exploring Operation: 68-3=65, Resulting Numbers: [14, 45, 65]
Generated Node #0,0: 53:[14, 45, 65] Operation: 68-3=65
Exploring Operation: 3*14=42, Resulting Numbers: [68, 45, 42]
Generated Node #0,1: 53:[68, 45, 42] Operation: 3*14=42
Exploring Operation: 68-14=54, Resulting Numbers: [3, 45, 54]
Generated Node #0,2: 53:[3, 45, 54] Operation: 68-14=54
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[68, 45, 42], Operations: ['3*14=42']
Exploring Operation: 45+42=87, Resulting Numbers: [68, 87]
Generated Node #0,1,0: 53:[68, 87] Operation: 45+42=87
Exploring Operation: 68-42=26, Resulting Numbers: [45, 26]
Generated Node #0,1,1: 53:[45, 26] Operation: 68-42=26
Exploring Operation: 68-45=23, Resulting Numbers: [42, 23]
Generated Node #0,1,2: 53:[42, 23] Operation: 68-45=23
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[45, 26], Operations: ['3*14=42', '68-42=26']
Exploring Operation: 45*26=1170, Resulting Numbers: [1170]
1170,53 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 53:[42, 23], Operations: ['3*14=42', '68-45=23']
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,53 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 42*23=966, Resulting Numbers: [966]
966,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[68, 87], Operations: ['3*14=42', '45+42=87']
Exploring Operation: 68*87=5916, Resulting Numbers: [5916]
5916,53 unequal: No Solution
Exploring Operation: 68+87=155, Resulting Numbers: [155]
155,53 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[14, 45, 65], Operations: ['68-3=65']
Exploring Operation: 45-14=31, Resulting Numbers: [65, 31]
Generated Node #0,0,0: 53:[65, 31] Operation: 45-14=31
Exploring Operation: 14+45=59, Resulting Numbers: [65, 59]
Generated Node #0,0,1: 53:[65, 59] Operation: 14+45=59
Exploring Operation: 65-14=51, Resulting Numbers: [45, 51]
Generated Node #0,0,2: 53:[45, 51] Operation: 65-14=51
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[45, 51], Operations: ['68-3=65', '65-14=51']
Exploring Operation: 45+51=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Exploring Operation: 45*51=2295, Resulting Numbers: [2295]
2295,53 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[65, 59], Operations: ['68-3=65', '14+45=59']
Exploring Operation: 65*59=3835, Resulting Numbers: [3835]
3835,53 unequal: No Solution
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 65+59=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[65, 31], Operations: ['68-3=65', '45-14=31']
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,53 unequal: No Solution
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[3, 45, 54], Operations: ['68-14=54']
Exploring Operation: 3+45=48, Resulting Numbers: [54, 48]
Generated Node #0,2,0: 53:[54, 48] Operation: 3+45=48
Exploring Operation: 54-3=51, Resulting Numbers: [45, 51]
Generated Node #0,2,1: 53:[45, 51] Operation: 54-3=51
Exploring Operation: 45-3=42, Resulting Numbers: [54, 42]
Generated Node #0,2,2: 53:[54, 42] Operation: 45-3=42
Moving to Node #0,2,0
Current State: 53:[54, 48], Operations: ['68-14=54', '3+45=48']
Exploring Operation: 54+48=102, Resulting Numbers: [102]
102,53 unequal: No Solution
Exploring Operation: 54*48=2592, Resulting Numbers: [2592]
2592,53 unequal: No Solution
Exploring Operation: 54-48=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[45, 51], Operations: ['68-14=54', '54-3=51']
Exploring Operation: 45+51=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Exploring Operation: 45*51=2295, Resulting Numbers: [2295]
2295,53 unequal: No Solution
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[54, 42], Operations: ['68-14=54', '45-3=42']
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,53 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,53 unequal: No Solution
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
78,
53,
89,
47
] | 89 | [
"78+53=131",
"89-47=42",
"131-42=89"
] | Current State: 89:[78, 53, 89, 47], Operations: []
Exploring Operation: 78+53=131, Resulting Numbers: [89, 47, 131]
Generated Node #2: [89, 47, 131] from Operation: 78+53=131
Current State: 89:[89, 47, 131], Operations: ['78+53=131']
Exploring Operation: 89-47=42, Resulting Numbers: [131, 42]
Generated Node #3: [131, 42] from Operation: 89-47=42
Current State: 89:[131, 42], Operations: ['78+53=131', '89-47=42']
Exploring Operation: 131-42=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[78, 53, 89, 47], Operations: []
Exploring Operation: 78+47=125, Resulting Numbers: [53, 89, 125]
Generated Node #0,0: 89:[53, 89, 125] Operation: 78+47=125
Exploring Operation: 78-47=31, Resulting Numbers: [53, 89, 31]
Generated Node #0,1: 89:[53, 89, 31] Operation: 78-47=31
Exploring Operation: 53+47=100, Resulting Numbers: [78, 89, 100]
Generated Node #0,2: 89:[78, 89, 100] Operation: 53+47=100
Exploring Operation: 53-47=6, Resulting Numbers: [78, 89, 6]
Generated Node #0,3: 89:[78, 89, 6] Operation: 53-47=6
Exploring Operation: 78+53=131, Resulting Numbers: [89, 47, 131]
Generated Node #0,4: 89:[89, 47, 131] Operation: 78+53=131
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[78, 89, 100], Operations: ['53+47=100']
Exploring Operation: 100-89=11, Resulting Numbers: [78, 11]
Generated Node #0,2,0: 89:[78, 11] Operation: 100-89=11
Exploring Operation: 78+100=178, Resulting Numbers: [89, 178]
Generated Node #0,2,1: 89:[89, 178] Operation: 78+100=178
Exploring Operation: 100-78=22, Resulting Numbers: [89, 22]
Generated Node #0,2,2: 89:[89, 22] Operation: 100-78=22
Exploring Operation: 78+89=167, Resulting Numbers: [100, 167]
Generated Node #0,2,3: 89:[100, 167] Operation: 78+89=167
Exploring Operation: 89-78=11, Resulting Numbers: [100, 11]
Generated Node #0,2,4: 89:[100, 11] Operation: 89-78=11
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[89, 22], Operations: ['53+47=100', '100-78=22']
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,89 unequal: No Solution
Exploring Operation: 89*22=1958, Resulting Numbers: [1958]
1958,89 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[78, 11], Operations: ['53+47=100', '100-89=11']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,89 unequal: No Solution
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,89 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[78, 53, 89, 47], Operations: []
Exploring Operation: 53+47=100, Resulting Numbers: [78, 89, 100]
Generated Node #0,2: 89:[78, 89, 100] Operation: 53+47=100
Moving to Node #0,2
Current State: 89:[78, 89, 100], Operations: ['53+47=100']
Exploring Operation: 100-89=11, Resulting Numbers: [78, 11]
Generated Node #0,2,0: 89:[78, 11] Operation: 100-89=11
Moving to Node #0,2,0
Current State: 89:[78, 11], Operations: ['53+47=100', '100-89=11']
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
98,
5,
17,
93
] | 90 | [
"98-93=5",
"5*17=85",
"5+85=90"
] | Current State: 90:[98, 5, 17, 93], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [5, 17, 5]
Generated Node #2: [5, 17, 5] from Operation: 98-93=5
Current State: 90:[5, 17, 5], Operations: ['98-93=5']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,90 equal: Goal Reached
Exploring Operation: 5+85=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[98, 5, 17, 93], Operations: []
Exploring Operation: 98-17=81, Resulting Numbers: [5, 93, 81]
Generated Node #0,0: 90:[5, 93, 81] Operation: 98-17=81
Exploring Operation: 17-5=12, Resulting Numbers: [98, 93, 12]
Generated Node #0,1: 90:[98, 93, 12] Operation: 17-5=12
Exploring Operation: 98-93=5, Resulting Numbers: [5, 17, 5]
Generated Node #0,2: 90:[5, 17, 5] Operation: 98-93=5
Exploring Operation: 98-5=93, Resulting Numbers: [17, 93, 93]
Generated Node #0,3: 90:[17, 93, 93] Operation: 98-5=93
Exploring Operation: 93-5=88, Resulting Numbers: [98, 17, 88]
Generated Node #0,4: 90:[98, 17, 88] Operation: 93-5=88
Moving to Node #0,2
Current State: 90:[5, 17, 5], Operations: ['98-93=5']
Exploring Operation: 5/5=1, Resulting Numbers: [17, 1]
Generated Node #0,2,0: 90:[17, 1] Operation: 5/5=1
Exploring Operation: 5+5=10, Resulting Numbers: [17, 10]
Generated Node #0,2,1: 90:[17, 10] Operation: 5+5=10
Exploring Operation: 5-5=0, Resulting Numbers: [17, 0]
Generated Node #0,2,2: 90:[17, 0] Operation: 5-5=0
Exploring Operation: 17-5=12, Resulting Numbers: [5, 12]
Generated Node #0,2,3: 90:[5, 12] Operation: 17-5=12
Exploring Operation: 17-5=12, Resulting Numbers: [5, 12]
Generated Node #0,2,4: 90:[5, 12] Operation: 17-5=12
Moving to Node #0,3
Current State: 90:[17, 93, 93], Operations: ['98-5=93']
Exploring Operation: 93/93=1, Resulting Numbers: [17, 1]
Generated Node #0,3,0: 90:[17, 1] Operation: 93/93=1
Exploring Operation: 17+93=110, Resulting Numbers: [93, 110]
Generated Node #0,3,1: 90:[93, 110] Operation: 17+93=110
Exploring Operation: 93-17=76, Resulting Numbers: [93, 76]
Generated Node #0,3,2: 90:[93, 76] Operation: 93-17=76
Exploring Operation: 93-93=0, Resulting Numbers: [17, 0]
Generated Node #0,3,3: 90:[17, 0] Operation: 93-93=0
Exploring Operation: 93-17=76, Resulting Numbers: [93, 76]
Generated Node #0,3,4: 90:[93, 76] Operation: 93-17=76
Moving to Node #0,4
Current State: 90:[98, 17, 88], Operations: ['93-5=88']
Exploring Operation: 98-17=81, Resulting Numbers: [88, 81]
Generated Node #0,4,0: 90:[88, 81] Operation: 98-17=81
Exploring Operation: 98+17=115, Resulting Numbers: [88, 115]
Generated Node #0,4,1: 90:[88, 115] Operation: 98+17=115
Exploring Operation: 98-88=10, Resulting Numbers: [17, 10]
Generated Node #0,4,2: 90:[17, 10] Operation: 98-88=10
Exploring Operation: 17+88=105, Resulting Numbers: [98, 105]
Generated Node #0,4,3: 90:[98, 105] Operation: 17+88=105
Exploring Operation: 88-17=71, Resulting Numbers: [98, 71]
Generated Node #0,4,4: 90:[98, 71] Operation: 88-17=71
Moving to Node #0,0
Current State: 90:[5, 93, 81], Operations: ['98-17=81']
Exploring Operation: 93-5=88, Resulting Numbers: [81, 88]
Generated Node #0,0,0: 90:[81, 88] Operation: 93-5=88
Exploring Operation: 5+93=98, Resulting Numbers: [81, 98]
Generated Node #0,0,1: 90:[81, 98] Operation: 5+93=98
Exploring Operation: 81-5=76, Resulting Numbers: [93, 76]
Generated Node #0,0,2: 90:[93, 76] Operation: 81-5=76
Exploring Operation: 5+81=86, Resulting Numbers: [93, 86]
Generated Node #0,0,3: 90:[93, 86] Operation: 5+81=86
Exploring Operation: 93-81=12, Resulting Numbers: [5, 12]
Generated Node #0,0,4: 90:[5, 12] Operation: 93-81=12
Moving to Node #0,1
Current State: 90:[98, 93, 12], Operations: ['17-5=12']
Exploring Operation: 98-12=86, Resulting Numbers: [93, 86]
Generated Node #0,1,0: 90:[93, 86] Operation: 98-12=86
Exploring Operation: 98+12=110, Resulting Numbers: [93, 110]
Generated Node #0,1,1: 90:[93, 110] Operation: 98+12=110
Exploring Operation: 93-12=81, Resulting Numbers: [98, 81]
Generated Node #0,1,2: 90:[98, 81] Operation: 93-12=81
Exploring Operation: 98-93=5, Resulting Numbers: [12, 5]
Generated Node #0,1,3: 90:[12, 5] Operation: 98-93=5
Exploring Operation: 93+12=105, Resulting Numbers: [98, 105]
Generated Node #0,1,4: 90:[98, 105] Operation: 93+12=105
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 90:[12, 5], Operations: ['17-5=12', '98-93=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[93, 86], Operations: ['17-5=12', '98-12=86']
Exploring Operation: 93+86=179, Resulting Numbers: [179]
179,90 unequal: No Solution
Exploring Operation: 93-86=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 93*86=7998, Resulting Numbers: [7998]
7998,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 90:[98, 81], Operations: ['17-5=12', '93-12=81']
Exploring Operation: 98+81=179, Resulting Numbers: [179]
179,90 unequal: No Solution
Exploring Operation: 98*81=7938, Resulting Numbers: [7938]
7938,90 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[93, 110], Operations: ['17-5=12', '98+12=110']
Exploring Operation: 93*110=10230, Resulting Numbers: [10230]
10230,90 unequal: No Solution
Exploring Operation: 110-93=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 93+110=203, Resulting Numbers: [203]
203,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 90:[98, 105], Operations: ['17-5=12', '93+12=105']
Exploring Operation: 105-98=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 98+105=203, Resulting Numbers: [203]
203,90 unequal: No Solution
Exploring Operation: 98*105=10290, Resulting Numbers: [10290]
10290,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 90:[17, 10], Operations: ['98-93=5', '5+5=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,90 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Moving to Node #0,4,2
Current State: 90:[17, 10], Operations: ['93-5=88', '98-88=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,90 unequal: No Solution
Moving to Node #0,2,3
Current State: 90:[5, 12], Operations: ['98-93=5', '17-5=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[17, 1], Operations: ['98-5=93', '93/93=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[17, 1], Operations: ['98-93=5', '5/5=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,2,4
Current State: 90:[5, 12], Operations: ['98-93=5', '17-5=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[5, 12], Operations: ['98-17=81', '93-81=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[17, 0], Operations: ['98-5=93', '93-93=0']
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[17, 0], Operations: ['98-93=5', '5-5=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[93, 86], Operations: ['98-17=81', '5+81=86']
Exploring Operation: 93+86=179, Resulting Numbers: [179]
179,90 unequal: No Solution
Exploring Operation: 93-86=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 93*86=7998, Resulting Numbers: [7998]
7998,90 unequal: No Solution
Moving to Node #0,4,0
Current State: 90:[88, 81], Operations: ['93-5=88', '98-17=81']
Exploring Operation: 88*81=7128, Resulting Numbers: [7128]
7128,90 unequal: No Solution
Exploring Operation: 88+81=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[81, 88], Operations: ['98-17=81', '93-5=88']
Exploring Operation: 81*88=7128, Resulting Numbers: [7128]
7128,90 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 81+88=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0,3,4
Current State: 90:[93, 76], Operations: ['98-5=93', '93-17=76']
Exploring Operation: 93*76=7068, Resulting Numbers: [7068]
7068,90 unequal: No Solution
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 93+76=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[81, 98], Operations: ['98-17=81', '5+93=98']
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,90 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[93, 76], Operations: ['98-17=81', '81-5=76']
Exploring Operation: 93*76=7068, Resulting Numbers: [7068]
7068,90 unequal: No Solution
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 93+76=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[93, 76], Operations: ['98-5=93', '93-17=76']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 93*76=7068, Resulting Numbers: [7068]
7068,90 unequal: No Solution
Exploring Operation: 93+76=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[93, 110], Operations: ['98-5=93', '17+93=110']
Exploring Operation: 93+110=203, Resulting Numbers: [203]
203,90 unequal: No Solution
Exploring Operation: 110-93=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 93*110=10230, Resulting Numbers: [10230]
10230,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[98, 105], Operations: ['93-5=88', '17+88=105']
Exploring Operation: 105-98=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 98+105=203, Resulting Numbers: [203]
203,90 unequal: No Solution
Exploring Operation: 98*105=10290, Resulting Numbers: [10290]
10290,90 unequal: No Solution
Moving to Node #0,4,1
Current State: 90:[88, 115], Operations: ['93-5=88', '98+17=115']
Exploring Operation: 115-88=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 88*115=10120, Resulting Numbers: [10120]
10120,90 unequal: No Solution
Exploring Operation: 88+115=203, Resulting Numbers: [203]
203,90 unequal: No Solution
Moving to Node #0,4,4
Current State: 90:[98, 71], Operations: ['93-5=88', '88-17=71']
Exploring Operation: 98*71=6958, Resulting Numbers: [6958]
6958,90 unequal: No Solution
Exploring Operation: 98+71=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Exploring Operation: 98-71=27, Resulting Numbers: [27]
27,90 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
52,
80,
85,
83
] | 66 | [
"52+80=132",
"85-83=2",
"132/2=66"
] | Current State: 66:[52, 80, 85, 83], Operations: []
Exploring Operation: 52+80=132, Resulting Numbers: [85, 83, 132]
Generated Node #2: [85, 83, 132] from Operation: 52+80=132
Current State: 66:[85, 83, 132], Operations: ['52+80=132']
Exploring Operation: 85-83=2, Resulting Numbers: [132, 2]
Generated Node #3: [132, 2] from Operation: 85-83=2
Current State: 66:[132, 2], Operations: ['52+80=132', '85-83=2']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[52, 80, 85, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [52, 80, 2]
Generated Node #0,0: 66:[52, 80, 2] Operation: 85-83=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[52, 80, 2], Operations: ['85-83=2']
Exploring Operation: 80-52=28, Resulting Numbers: [2, 28]
Generated Node #0,0,0: 66:[2, 28] Operation: 80-52=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[2, 28], Operations: ['85-83=2', '80-52=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
50,
25,
35,
37
] | 23 | [
"50-25=25",
"37-35=2",
"25-2=23"
] | Current State: 23:[50, 25, 35, 37], Operations: []
Exploring Operation: 50-25=25, Resulting Numbers: [35, 37, 25]
Generated Node #2: [35, 37, 25] from Operation: 50-25=25
Current State: 23:[35, 37, 25], Operations: ['50-25=25']
Exploring Operation: 37-35=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 37-35=2
Current State: 23:[25, 2], Operations: ['50-25=25', '37-35=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[50, 25, 35, 37], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [25, 37, 15]
Generated Node #0,0: 23:[25, 37, 15] Operation: 50-35=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[25, 37, 15], Operations: ['50-35=15']
Exploring Operation: 37-15=22, Resulting Numbers: [25, 22]
Generated Node #0,0,0: 23:[25, 22] Operation: 37-15=22
Moving to Node #0,0,0
Current State: 23:[25, 22], Operations: ['50-35=15', '37-15=22']
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
69,
72,
75,
46
] | 69 | [
"69-46=23",
"75-72=3",
"23*3=69"
] | Current State: 69:[69, 72, 75, 46], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [72, 75, 23]
Generated Node #2: [72, 75, 23] from Operation: 69-46=23
Current State: 69:[72, 75, 23], Operations: ['69-46=23']
Exploring Operation: 75-72=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 75-72=3
Current State: 69:[23, 3], Operations: ['69-46=23', '75-72=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[69, 72, 75, 46], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [72, 75, 23]
Generated Node #0,0: 69:[72, 75, 23] Operation: 69-46=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[72, 75, 23], Operations: ['69-46=23']
Exploring Operation: 75-72=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 69:[23, 3] Operation: 75-72=3
Moving to Node #0,0,0
Current State: 69:[23, 3], Operations: ['69-46=23', '75-72=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[69, 72, 75, 46], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [72, 75, 23]
Generated Node #0,0: 69:[72, 75, 23] Operation: 69-46=23
Moving to Node #0,0
Current State: 69:[72, 75, 23], Operations: ['69-46=23']
Exploring Operation: 75-72=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 69:[23, 3] Operation: 75-72=3
Moving to Node #0,0,0
Current State: 69:[23, 3], Operations: ['69-46=23', '75-72=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
2,
19,
39,
78
] | 22 | [
"19-2=17",
"78-39=39",
"39-17=22"
] | Current State: 22:[2, 19, 39, 78], Operations: []
Exploring Operation: 19-2=17, Resulting Numbers: [39, 78, 17]
Generated Node #2: [39, 78, 17] from Operation: 19-2=17
Current State: 22:[39, 78, 17], Operations: ['19-2=17']
Exploring Operation: 78-39=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 78-39=39
Current State: 22:[17, 39], Operations: ['19-2=17', '78-39=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[2, 19, 39, 78], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [2, 19, 39]
Generated Node #0,0: 22:[2, 19, 39] Operation: 78-39=39
Exploring Operation: 78/39=2, Resulting Numbers: [2, 19, 2]
Generated Node #0,1: 22:[2, 19, 2] Operation: 78/39=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[2, 19, 2], Operations: ['78/39=2']
Exploring Operation: 2+19=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 22:[2, 21] Operation: 2+19=21
Exploring Operation: 19+2=21, Resulting Numbers: [2, 21]
Generated Node #0,1,1: 22:[2, 21] Operation: 19+2=21
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[2, 21], Operations: ['78/39=2', '2+19=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[2, 21], Operations: ['78/39=2', '19+2=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[2, 19, 39], Operations: ['78-39=39']
Exploring Operation: 39-19=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 22:[2, 20] Operation: 39-19=20
Exploring Operation: 2+19=21, Resulting Numbers: [39, 21]
Generated Node #0,0,1: 22:[39, 21] Operation: 2+19=21
Moving to Node #0,0,0
Current State: 22:[2, 20], Operations: ['78-39=39', '39-19=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[2, 19, 39, 78], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [2, 19, 39]
Generated Node #0,0: 22:[2, 19, 39] Operation: 78-39=39
Moving to Node #0,0
Current State: 22:[2, 19, 39], Operations: ['78-39=39']
Exploring Operation: 39-19=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 22:[2, 20] Operation: 39-19=20
Moving to Node #0,0,0
Current State: 22:[2, 20], Operations: ['78-39=39', '39-19=20']
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
69,
9,
8,
11
] | 59 | [
"69+9=78",
"8+11=19",
"78-19=59"
] | Current State: 59:[69, 9, 8, 11], Operations: []
Exploring Operation: 69+9=78, Resulting Numbers: [8, 11, 78]
Generated Node #2: [8, 11, 78] from Operation: 69+9=78
Current State: 59:[8, 11, 78], Operations: ['69+9=78']
Exploring Operation: 8+11=19, Resulting Numbers: [78, 19]
Generated Node #3: [78, 19] from Operation: 8+11=19
Current State: 59:[78, 19], Operations: ['69+9=78', '8+11=19']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[69, 9, 8, 11], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [8, 11, 60]
Generated Node #0,0: 59:[8, 11, 60] Operation: 69-9=60
Exploring Operation: 8*11=88, Resulting Numbers: [69, 9, 88]
Generated Node #0,1: 59:[69, 9, 88] Operation: 8*11=88
Exploring Operation: 9*8=72, Resulting Numbers: [69, 11, 72]
Generated Node #0,2: 59:[69, 11, 72] Operation: 9*8=72
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[69, 11, 72], Operations: ['9*8=72']
Exploring Operation: 69-11=58, Resulting Numbers: [72, 58]
Generated Node #0,2,0: 59:[72, 58] Operation: 69-11=58
Exploring Operation: 72-11=61, Resulting Numbers: [69, 61]
Generated Node #0,2,1: 59:[69, 61] Operation: 72-11=61
Exploring Operation: 69+11=80, Resulting Numbers: [72, 80]
Generated Node #0,2,2: 59:[72, 80] Operation: 69+11=80
Moving to Node #0,2,1
Current State: 59:[69, 61], Operations: ['9*8=72', '72-11=61']
Exploring Operation: 69-61=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 69+61=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Exploring Operation: 69*61=4209, Resulting Numbers: [4209]
4209,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[72, 58], Operations: ['9*8=72', '69-11=58']
Exploring Operation: 72+58=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 72*58=4176, Resulting Numbers: [4176]
4176,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[72, 80], Operations: ['9*8=72', '69+11=80']
Exploring Operation: 72*80=5760, Resulting Numbers: [5760]
5760,59 unequal: No Solution
Exploring Operation: 72+80=152, Resulting Numbers: [152]
152,59 unequal: No Solution
Exploring Operation: 80-72=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[69, 9, 88], Operations: ['8*11=88']
Exploring Operation: 69-9=60, Resulting Numbers: [88, 60]
Generated Node #0,1,0: 59:[88, 60] Operation: 69-9=60
Exploring Operation: 69+9=78, Resulting Numbers: [88, 78]
Generated Node #0,1,1: 59:[88, 78] Operation: 69+9=78
Exploring Operation: 88-9=79, Resulting Numbers: [69, 79]
Generated Node #0,1,2: 59:[69, 79] Operation: 88-9=79
Moving to Node #0,1,0
Current State: 59:[88, 60], Operations: ['8*11=88', '69-9=60']
Exploring Operation: 88-60=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 88*60=5280, Resulting Numbers: [5280]
5280,59 unequal: No Solution
Exploring Operation: 88+60=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[69, 79], Operations: ['8*11=88', '88-9=79']
Exploring Operation: 69+79=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Exploring Operation: 69*79=5451, Resulting Numbers: [5451]
5451,59 unequal: No Solution
Exploring Operation: 79-69=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[88, 78], Operations: ['8*11=88', '69+9=78']
Exploring Operation: 88+78=166, Resulting Numbers: [166]
166,59 unequal: No Solution
Exploring Operation: 88*78=6864, Resulting Numbers: [6864]
6864,59 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[8, 11, 60], Operations: ['69-9=60']
Exploring Operation: 8*11=88, Resulting Numbers: [60, 88]
Generated Node #0,0,0: 59:[60, 88] Operation: 8*11=88
Exploring Operation: 8+11=19, Resulting Numbers: [60, 19]
Generated Node #0,0,1: 59:[60, 19] Operation: 8+11=19
Exploring Operation: 60-8=52, Resulting Numbers: [11, 52]
Generated Node #0,0,2: 59:[11, 52] Operation: 60-8=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[60, 88], Operations: ['69-9=60', '8*11=88']
Exploring Operation: 60+88=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Exploring Operation: 88-60=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 60*88=5280, Resulting Numbers: [5280]
5280,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[60, 19], Operations: ['69-9=60', '8+11=19']
Exploring Operation: 60*19=1140, Resulting Numbers: [1140]
1140,59 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[11, 52], Operations: ['69-9=60', '60-8=52']
Exploring Operation: 11*52=572, Resulting Numbers: [572]
572,59 unequal: No Solution
Exploring Operation: 11+52=63, Resulting Numbers: [63]
63,59 unequal: No Solution
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
61,
50,
5,
41
] | 65 | [
"61+50=111",
"5+41=46",
"111-46=65"
] | Current State: 65:[61, 50, 5, 41], Operations: []
Exploring Operation: 61+50=111, Resulting Numbers: [5, 41, 111]
Generated Node #2: [5, 41, 111] from Operation: 61+50=111
Current State: 65:[5, 41, 111], Operations: ['61+50=111']
Exploring Operation: 5+41=46, Resulting Numbers: [111, 46]
Generated Node #3: [111, 46] from Operation: 5+41=46
Current State: 65:[111, 46], Operations: ['61+50=111', '5+41=46']
Exploring Operation: 111-46=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[61, 50, 5, 41], Operations: []
Exploring Operation: 50+41=91, Resulting Numbers: [61, 5, 91]
Generated Node #0,0: 65:[61, 5, 91] Operation: 50+41=91
Exploring Operation: 61-41=20, Resulting Numbers: [50, 5, 20]
Generated Node #0,1: 65:[50, 5, 20] Operation: 61-41=20
Exploring Operation: 50-41=9, Resulting Numbers: [61, 5, 9]
Generated Node #0,2: 65:[61, 5, 9] Operation: 50-41=9
Exploring Operation: 61-50=11, Resulting Numbers: [5, 41, 11]
Generated Node #0,3: 65:[5, 41, 11] Operation: 61-50=11
Moving to Node #0,2
Current State: 65:[61, 5, 9], Operations: ['50-41=9']
Exploring Operation: 61+5=66, Resulting Numbers: [9, 66]
Generated Node #0,2,0: 65:[9, 66] Operation: 61+5=66
Exploring Operation: 5+9=14, Resulting Numbers: [61, 14]
Generated Node #0,2,1: 65:[61, 14] Operation: 5+9=14
Exploring Operation: 9-5=4, Resulting Numbers: [61, 4]
Generated Node #0,2,2: 65:[61, 4] Operation: 9-5=4
Exploring Operation: 61+9=70, Resulting Numbers: [5, 70]
Generated Node #0,2,3: 65:[5, 70] Operation: 61+9=70
Moving to Node #0,1
Current State: 65:[50, 5, 20], Operations: ['61-41=20']
Exploring Operation: 50+5=55, Resulting Numbers: [20, 55]
Generated Node #0,1,0: 65:[20, 55] Operation: 50+5=55
Exploring Operation: 20/5=4, Resulting Numbers: [50, 4]
Generated Node #0,1,1: 65:[50, 4] Operation: 20/5=4
Exploring Operation: 50+20=70, Resulting Numbers: [5, 70]
Generated Node #0,1,2: 65:[5, 70] Operation: 50+20=70
Exploring Operation: 50/5=10, Resulting Numbers: [20, 10]
Generated Node #0,1,3: 65:[20, 10] Operation: 50/5=10
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[5, 70], Operations: ['61-41=20', '50+20=70']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[61, 50, 5, 41], Operations: []
Exploring Operation: 61-41=20, Resulting Numbers: [50, 5, 20]
Generated Node #0,1: 65:[50, 5, 20] Operation: 61-41=20
Moving to Node #0,1
Current State: 65:[50, 5, 20], Operations: ['61-41=20']
Exploring Operation: 50+20=70, Resulting Numbers: [5, 70]
Generated Node #0,1,2: 65:[5, 70] Operation: 50+20=70
Moving to Node #0,1,2
Current State: 65:[5, 70], Operations: ['61-41=20', '50+20=70']
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
99,
8,
37,
23
] | 47 | [
"99+8=107",
"37+23=60",
"107-60=47"
] | Current State: 47:[99, 8, 37, 23], Operations: []
Exploring Operation: 99+8=107, Resulting Numbers: [37, 23, 107]
Generated Node #2: [37, 23, 107] from Operation: 99+8=107
Current State: 47:[37, 23, 107], Operations: ['99+8=107']
Exploring Operation: 37+23=60, Resulting Numbers: [107, 60]
Generated Node #3: [107, 60] from Operation: 37+23=60
Current State: 47:[107, 60], Operations: ['99+8=107', '37+23=60']
Exploring Operation: 107-60=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[99, 8, 37, 23], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [37, 23, 91]
Generated Node #0,0: 47:[37, 23, 91] Operation: 99-8=91
Moving to Node #0,0
Current State: 47:[37, 23, 91], Operations: ['99-8=91']
Exploring Operation: 91-37=54, Resulting Numbers: [23, 54]
Generated Node #0,0,0: 47:[23, 54] Operation: 91-37=54
Moving to Node #0,0,0
Current State: 47:[23, 54], Operations: ['99-8=91', '91-37=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,47 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
4,
22,
57
] | 74 | [
"1+4=5",
"22+57=79",
"79-5=74"
] | Current State: 74:[1, 4, 22, 57], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [22, 57, 5]
Generated Node #2: [22, 57, 5] from Operation: 1+4=5
Current State: 74:[22, 57, 5], Operations: ['1+4=5']
Exploring Operation: 22+57=79, Resulting Numbers: [5, 79]
Generated Node #3: [5, 79] from Operation: 22+57=79
Current State: 74:[5, 79], Operations: ['1+4=5', '22+57=79']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[1, 4, 22, 57], Operations: []
Exploring Operation: 57-22=35, Resulting Numbers: [1, 4, 35]
Generated Node #0,0: 74:[1, 4, 35] Operation: 57-22=35
Moving to Node #0,0
Current State: 74:[1, 4, 35], Operations: ['57-22=35']
Exploring Operation: 4-1=3, Resulting Numbers: [35, 3]
Generated Node #0,0,0: 74:[35, 3] Operation: 4-1=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[35, 3], Operations: ['57-22=35', '4-1=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
96,
4,
87
] | 19 | [
"92-87=5",
"96/4=24",
"24-5=19"
] | Current State: 19:[92, 96, 4, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [96, 4, 5]
Generated Node #2: [96, 4, 5] from Operation: 92-87=5
Current State: 19:[96, 4, 5], Operations: ['92-87=5']
Exploring Operation: 96/4=24, Resulting Numbers: [5, 24]
Generated Node #3: [5, 24] from Operation: 96/4=24
Current State: 19:[5, 24], Operations: ['92-87=5', '96/4=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[92, 96, 4, 87], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [92, 4, 9]
Generated Node #0,0: 19:[92, 4, 9] Operation: 96-87=9
Exploring Operation: 96-92=4, Resulting Numbers: [4, 87, 4]
Generated Node #0,1: 19:[4, 87, 4] Operation: 96-92=4
Exploring Operation: 92-87=5, Resulting Numbers: [96, 4, 5]
Generated Node #0,2: 19:[96, 4, 5] Operation: 92-87=5
Moving to Node #0,0
Current State: 19:[92, 4, 9], Operations: ['96-87=9']
Exploring Operation: 92/4=23, Resulting Numbers: [9, 23]
Generated Node #0,0,0: 19:[9, 23] Operation: 92/4=23
Exploring Operation: 92-4=88, Resulting Numbers: [9, 88]
Generated Node #0,0,1: 19:[9, 88] Operation: 92-4=88
Exploring Operation: 92-9=83, Resulting Numbers: [4, 83]
Generated Node #0,0,2: 19:[4, 83] Operation: 92-9=83
Moving to Node #0,1
Current State: 19:[4, 87, 4], Operations: ['96-92=4']
Exploring Operation: 87-4=83, Resulting Numbers: [4, 83]
Generated Node #0,1,0: 19:[4, 83] Operation: 87-4=83
Exploring Operation: 4*4=16, Resulting Numbers: [87, 16]
Generated Node #0,1,1: 19:[87, 16] Operation: 4*4=16
Exploring Operation: 4+4=8, Resulting Numbers: [87, 8]
Generated Node #0,1,2: 19:[87, 8] Operation: 4+4=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[87, 16], Operations: ['96-92=4', '4*4=16']
Exploring Operation: 87*16=1392, Resulting Numbers: [1392]
1392,19 unequal: No Solution
Exploring Operation: 87+16=103, Resulting Numbers: [103]
103,19 unequal: No Solution
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[4, 83], Operations: ['96-92=4', '87-4=83']
Exploring Operation: 4+83=87, Resulting Numbers: [87]
87,19 unequal: No Solution
Exploring Operation: 4*83=332, Resulting Numbers: [332]
332,19 unequal: No Solution
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[87, 8], Operations: ['96-92=4', '4+4=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,19 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,19 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 19:[96, 4, 5], Operations: ['92-87=5']
Exploring Operation: 96/4=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 19:[5, 24] Operation: 96/4=24
Exploring Operation: 96-4=92, Resulting Numbers: [5, 92]
Generated Node #0,2,1: 19:[5, 92] Operation: 96-4=92
Exploring Operation: 4*5=20, Resulting Numbers: [96, 20]
Generated Node #0,2,2: 19:[96, 20] Operation: 4*5=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 19:[5, 24], Operations: ['92-87=5', '96/4=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,19 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[92, 96, 4, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [96, 4, 5]
Generated Node #0,2: 19:[96, 4, 5] Operation: 92-87=5
Moving to Node #0,2
Current State: 19:[96, 4, 5], Operations: ['92-87=5']
Exploring Operation: 96/4=24, Resulting Numbers: [5, 24]
Generated Node #0,2,0: 19:[5, 24] Operation: 96/4=24
Moving to Node #0,2,0
Current State: 19:[5, 24], Operations: ['92-87=5', '96/4=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
24,
16,
17,
79
] | 54 | [
"24-16=8",
"79-17=62",
"62-8=54"
] | Current State: 54:[24, 16, 17, 79], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [17, 79, 8]
Generated Node #2: [17, 79, 8] from Operation: 24-16=8
Current State: 54:[17, 79, 8], Operations: ['24-16=8']
Exploring Operation: 79-17=62, Resulting Numbers: [8, 62]
Generated Node #3: [8, 62] from Operation: 79-17=62
Current State: 54:[8, 62], Operations: ['24-16=8', '79-17=62']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[24, 16, 17, 79], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [16, 17, 55]
Generated Node #0,0: 54:[16, 17, 55] Operation: 79-24=55
Exploring Operation: 79-16=63, Resulting Numbers: [24, 17, 63]
Generated Node #0,1: 54:[24, 17, 63] Operation: 79-16=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[16, 17, 55], Operations: ['79-24=55']
Exploring Operation: 17-16=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 54:[55, 1] Operation: 17-16=1
Exploring Operation: 16+17=33, Resulting Numbers: [55, 33]
Generated Node #0,0,1: 54:[55, 33] Operation: 16+17=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[55, 1], Operations: ['79-24=55', '17-16=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[24, 16, 17, 79], Operations: []
Exploring Operation: 79-24=55, Resulting Numbers: [16, 17, 55]
Generated Node #0,0: 54:[16, 17, 55] Operation: 79-24=55
Moving to Node #0,0
Current State: 54:[16, 17, 55], Operations: ['79-24=55']
Exploring Operation: 17-16=1, Resulting Numbers: [55, 1]
Generated Node #0,0,0: 54:[55, 1] Operation: 17-16=1
Moving to Node #0,0,0
Current State: 54:[55, 1], Operations: ['79-24=55', '17-16=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
9,
88,
25,
13
] | 14 | [
"88+25=113",
"13+113=126",
"126/9=14"
] | Current State: 14:[9, 88, 25, 13], Operations: []
Exploring Operation: 88+25=113, Resulting Numbers: [9, 13, 113]
Generated Node #2: [9, 13, 113] from Operation: 88+25=113
Current State: 14:[9, 13, 113], Operations: ['88+25=113']
Exploring Operation: 13+113=126, Resulting Numbers: [9, 126]
Generated Node #3: [9, 126] from Operation: 13+113=126
Current State: 14:[9, 126], Operations: ['88+25=113', '13+113=126']
Exploring Operation: 126/9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[9, 88, 25, 13], Operations: []
Exploring Operation: 88-25=63, Resulting Numbers: [9, 13, 63]
Generated Node #0,0: 14:[9, 13, 63] Operation: 88-25=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[9, 13, 63], Operations: ['88-25=63']
Exploring Operation: 63/9=7, Resulting Numbers: [13, 7]
Generated Node #0,0,0: 14:[13, 7] Operation: 63/9=7
Moving to Node #0,0,0
Current State: 14:[13, 7], Operations: ['88-25=63', '63/9=7']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
82,
74,
40,
33
] | 59 | [
"74*33=2442",
"2442-82=2360",
"2360/40=59"
] | Current State: 59:[82, 74, 40, 33], Operations: []
Exploring Operation: 74*33=2442, Resulting Numbers: [82, 40, 2442]
Generated Node #2: [82, 40, 2442] from Operation: 74*33=2442
Current State: 59:[82, 40, 2442], Operations: ['74*33=2442']
Exploring Operation: 2442-82=2360, Resulting Numbers: [40, 2360]
Generated Node #3: [40, 2360] from Operation: 2442-82=2360
Current State: 59:[40, 2360], Operations: ['74*33=2442', '2442-82=2360']
Exploring Operation: 2360/40=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[82, 74, 40, 33], Operations: []
Exploring Operation: 82-33=49, Resulting Numbers: [74, 40, 49]
Generated Node #0,0: 59:[74, 40, 49] Operation: 82-33=49
Moving to Node #0,0
Current State: 59:[74, 40, 49], Operations: ['82-33=49']
Exploring Operation: 74-40=34, Resulting Numbers: [49, 34]
Generated Node #0,0,0: 59:[49, 34] Operation: 74-40=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[49, 34], Operations: ['82-33=49', '74-40=34']
Exploring Operation: 49+34=83, Resulting Numbers: [83]
83,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
56,
56,
12
] | 29 | [
"16+12=28",
"56/56=1",
"28+1=29"
] | Current State: 29:[16, 56, 56, 12], Operations: []
Exploring Operation: 16+12=28, Resulting Numbers: [56, 56, 28]
Generated Node #2: [56, 56, 28] from Operation: 16+12=28
Current State: 29:[56, 56, 28], Operations: ['16+12=28']
Exploring Operation: 56/56=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 56/56=1
Current State: 29:[28, 1], Operations: ['16+12=28', '56/56=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[16, 56, 56, 12], Operations: []
Exploring Operation: 56-16=40, Resulting Numbers: [56, 12, 40]
Generated Node #0,0: 29:[56, 12, 40] Operation: 56-16=40
Exploring Operation: 56-16=40, Resulting Numbers: [56, 12, 40]
Generated Node #0,1: 29:[56, 12, 40] Operation: 56-16=40
Exploring Operation: 56-12=44, Resulting Numbers: [16, 56, 44]
Generated Node #0,2: 29:[16, 56, 44] Operation: 56-12=44
Exploring Operation: 56-12=44, Resulting Numbers: [16, 56, 44]
Generated Node #0,3: 29:[16, 56, 44] Operation: 56-12=44
Exploring Operation: 16+12=28, Resulting Numbers: [56, 56, 28]
Generated Node #0,4: 29:[56, 56, 28] Operation: 16+12=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[56, 12, 40], Operations: ['56-16=40']
Exploring Operation: 56-12=44, Resulting Numbers: [40, 44]
Generated Node #0,0,0: 29:[40, 44] Operation: 56-12=44
Exploring Operation: 40-12=28, Resulting Numbers: [56, 28]
Generated Node #0,0,1: 29:[56, 28] Operation: 40-12=28
Exploring Operation: 56+12=68, Resulting Numbers: [40, 68]
Generated Node #0,0,2: 29:[40, 68] Operation: 56+12=68
Exploring Operation: 56-40=16, Resulting Numbers: [12, 16]
Generated Node #0,0,3: 29:[12, 16] Operation: 56-40=16
Exploring Operation: 12+40=52, Resulting Numbers: [56, 52]
Generated Node #0,0,4: 29:[56, 52] Operation: 12+40=52
Moving to Node #0,0,0
Current State: 29:[40, 44], Operations: ['56-16=40', '56-12=44']
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,29 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[56, 28], Operations: ['56-16=40', '40-12=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,29 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[12, 16], Operations: ['56-16=40', '56-40=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[40, 68], Operations: ['56-16=40', '56+12=68']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 40*68=2720, Resulting Numbers: [2720]
2720,29 unequal: No Solution
Exploring Operation: 40+68=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[56, 52], Operations: ['56-16=40', '12+40=52']
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,29 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[56, 12, 40], Operations: ['56-16=40']
Exploring Operation: 56-40=16, Resulting Numbers: [12, 16]
Generated Node #0,1,0: 29:[12, 16] Operation: 56-40=16
Exploring Operation: 12+40=52, Resulting Numbers: [56, 52]
Generated Node #0,1,1: 29:[56, 52] Operation: 12+40=52
Exploring Operation: 56-12=44, Resulting Numbers: [40, 44]
Generated Node #0,1,2: 29:[40, 44] Operation: 56-12=44
Exploring Operation: 40-12=28, Resulting Numbers: [56, 28]
Generated Node #0,1,3: 29:[56, 28] Operation: 40-12=28
Exploring Operation: 56+12=68, Resulting Numbers: [40, 68]
Generated Node #0,1,4: 29:[40, 68] Operation: 56+12=68
Moving to Node #0,1,2
Current State: 29:[40, 44], Operations: ['56-16=40', '56-12=44']
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[56, 28], Operations: ['56-16=40', '40-12=28']
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,29 unequal: No Solution
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[12, 16], Operations: ['56-16=40', '56-40=16']
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,29 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[56, 52], Operations: ['56-16=40', '12+40=52']
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,29 unequal: No Solution
Moving to Node #0,1,4
Current State: 29:[40, 68], Operations: ['56-16=40', '56+12=68']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 40+68=108, Resulting Numbers: [108]
108,29 unequal: No Solution
Exploring Operation: 40*68=2720, Resulting Numbers: [2720]
2720,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[16, 56, 44], Operations: ['56-12=44']
Exploring Operation: 16+44=60, Resulting Numbers: [56, 60]
Generated Node #0,2,0: 29:[56, 60] Operation: 16+44=60
Exploring Operation: 44-16=28, Resulting Numbers: [56, 28]
Generated Node #0,2,1: 29:[56, 28] Operation: 44-16=28
Exploring Operation: 56-44=12, Resulting Numbers: [16, 12]
Generated Node #0,2,2: 29:[16, 12] Operation: 56-44=12
Exploring Operation: 16+56=72, Resulting Numbers: [44, 72]
Generated Node #0,2,3: 29:[44, 72] Operation: 16+56=72
Exploring Operation: 56-16=40, Resulting Numbers: [44, 40]
Generated Node #0,2,4: 29:[44, 40] Operation: 56-16=40
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 29:[44, 40], Operations: ['56-12=44', '56-16=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[56, 28], Operations: ['56-12=44', '44-16=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 29:[16, 12], Operations: ['56-12=44', '56-44=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 29:[56, 60], Operations: ['56-12=44', '16+44=60']
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 56*60=3360, Resulting Numbers: [3360]
3360,29 unequal: No Solution
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 29:[44, 72], Operations: ['56-12=44', '16+56=72']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 44*72=3168, Resulting Numbers: [3168]
3168,29 unequal: No Solution
Exploring Operation: 44+72=116, Resulting Numbers: [116]
116,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[16, 56, 44], Operations: ['56-12=44']
Exploring Operation: 56-16=40, Resulting Numbers: [44, 40]
Generated Node #0,3,0: 29:[44, 40] Operation: 56-16=40
Exploring Operation: 44-16=28, Resulting Numbers: [56, 28]
Generated Node #0,3,1: 29:[56, 28] Operation: 44-16=28
Exploring Operation: 56-44=12, Resulting Numbers: [16, 12]
Generated Node #0,3,2: 29:[16, 12] Operation: 56-44=12
Exploring Operation: 16+44=60, Resulting Numbers: [56, 60]
Generated Node #0,3,3: 29:[56, 60] Operation: 16+44=60
Exploring Operation: 16+56=72, Resulting Numbers: [44, 72]
Generated Node #0,3,4: 29:[44, 72] Operation: 16+56=72
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 29:[44, 40], Operations: ['56-12=44', '56-16=40']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 29:[56, 28], Operations: ['56-12=44', '44-16=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,29 unequal: No Solution
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 29:[16, 12], Operations: ['56-12=44', '56-44=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,29 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 29:[56, 60], Operations: ['56-12=44', '16+44=60']
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 56*60=3360, Resulting Numbers: [3360]
3360,29 unequal: No Solution
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 29:[44, 72], Operations: ['56-12=44', '16+56=72']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 44+72=116, Resulting Numbers: [116]
116,29 unequal: No Solution
Exploring Operation: 44*72=3168, Resulting Numbers: [3168]
3168,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 29:[56, 56, 28], Operations: ['16+12=28']
Exploring Operation: 56/56=1, Resulting Numbers: [28, 1]
Generated Node #0,4,0: 29:[28, 1] Operation: 56/56=1
Exploring Operation: 56-56=0, Resulting Numbers: [28, 0]
Generated Node #0,4,1: 29:[28, 0] Operation: 56-56=0
Exploring Operation: 56-28=28, Resulting Numbers: [56, 28]
Generated Node #0,4,2: 29:[56, 28] Operation: 56-28=28
Exploring Operation: 56/28=2, Resulting Numbers: [56, 2]
Generated Node #0,4,3: 29:[56, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [56, 28]
Generated Node #0,4,4: 29:[56, 28] Operation: 56-28=28
Moving to Node #0,4,2
Current State: 29:[56, 28], Operations: ['16+12=28', '56-28=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,29 unequal: No Solution
Moving to Node #0,4,4
Current State: 29:[56, 28], Operations: ['16+12=28', '56-28=28']
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,29 unequal: No Solution
Moving to Node #0,4,0
Current State: 29:[28, 1], Operations: ['16+12=28', '56/56=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,29 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[16, 56, 56, 12], Operations: []
Exploring Operation: 16+12=28, Resulting Numbers: [56, 56, 28]
Generated Node #0,4: 29:[56, 56, 28] Operation: 16+12=28
Moving to Node #0,4
Current State: 29:[56, 56, 28], Operations: ['16+12=28']
Exploring Operation: 56/56=1, Resulting Numbers: [28, 1]
Generated Node #0,4,0: 29:[28, 1] Operation: 56/56=1
Moving to Node #0,4,0
Current State: 29:[28, 1], Operations: ['16+12=28', '56/56=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.904514 | hs_5 | sum_heuristic |
[
48,
48,
88,
12
] | 11 | [
"48+48=96",
"88*12=1056",
"1056/96=11"
] | Current State: 11:[48, 48, 88, 12], Operations: []
Exploring Operation: 48+48=96, Resulting Numbers: [88, 12, 96]
Generated Node #2: [88, 12, 96] from Operation: 48+48=96
Current State: 11:[88, 12, 96], Operations: ['48+48=96']
Exploring Operation: 88*12=1056, Resulting Numbers: [96, 1056]
Generated Node #3: [96, 1056] from Operation: 88*12=1056
Current State: 11:[96, 1056], Operations: ['48+48=96', '88*12=1056']
Exploring Operation: 1056/96=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[48, 48, 88, 12], Operations: []
Exploring Operation: 48-48=0, Resulting Numbers: [88, 12, 0]
Generated Node #0,0: 11:[88, 12, 0] Operation: 48-48=0
Exploring Operation: 88-48=40, Resulting Numbers: [48, 12, 40]
Generated Node #0,1: 11:[48, 12, 40] Operation: 88-48=40
Exploring Operation: 88-48=40, Resulting Numbers: [48, 12, 40]
Generated Node #0,2: 11:[48, 12, 40] Operation: 88-48=40
Exploring Operation: 48/48=1, Resulting Numbers: [88, 12, 1]
Generated Node #0,3: 11:[88, 12, 1] Operation: 48/48=1
Exploring Operation: 48/12=4, Resulting Numbers: [48, 88, 4]
Generated Node #0,4: 11:[48, 88, 4] Operation: 48/12=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[48, 12, 40], Operations: ['88-48=40']
Exploring Operation: 40-12=28, Resulting Numbers: [48, 28]
Generated Node #0,1,0: 11:[48, 28] Operation: 40-12=28
Exploring Operation: 48-12=36, Resulting Numbers: [40, 36]
Generated Node #0,1,1: 11:[40, 36] Operation: 48-12=36
Exploring Operation: 48-40=8, Resulting Numbers: [12, 8]
Generated Node #0,1,2: 11:[12, 8] Operation: 48-40=8
Exploring Operation: 48+12=60, Resulting Numbers: [40, 60]
Generated Node #0,1,3: 11:[40, 60] Operation: 48+12=60
Exploring Operation: 48/12=4, Resulting Numbers: [40, 4]
Generated Node #0,1,4: 11:[40, 4] Operation: 48/12=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[12, 8], Operations: ['88-48=40', '48-40=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 11:[40, 4], Operations: ['88-48=40', '48/12=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[48, 28], Operations: ['88-48=40', '40-12=28']
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 48*28=1344, Resulting Numbers: [1344]
1344,11 unequal: No Solution
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[40, 36], Operations: ['88-48=40', '48-12=36']
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 11:[40, 60], Operations: ['88-48=40', '48+12=60']
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[48, 12, 40], Operations: ['88-48=40']
Exploring Operation: 48-40=8, Resulting Numbers: [12, 8]
Generated Node #0,2,0: 11:[12, 8] Operation: 48-40=8
Exploring Operation: 48/12=4, Resulting Numbers: [40, 4]
Generated Node #0,2,1: 11:[40, 4] Operation: 48/12=4
Exploring Operation: 48+12=60, Resulting Numbers: [40, 60]
Generated Node #0,2,2: 11:[40, 60] Operation: 48+12=60
Exploring Operation: 48-12=36, Resulting Numbers: [40, 36]
Generated Node #0,2,3: 11:[40, 36] Operation: 48-12=36
Exploring Operation: 40-12=28, Resulting Numbers: [48, 28]
Generated Node #0,2,4: 11:[48, 28] Operation: 40-12=28
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[12, 8], Operations: ['88-48=40', '48-40=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[40, 4], Operations: ['88-48=40', '48/12=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 11:[40, 36], Operations: ['88-48=40', '48-12=36']
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,11 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 11:[48, 28], Operations: ['88-48=40', '40-12=28']
Exploring Operation: 48*28=1344, Resulting Numbers: [1344]
1344,11 unequal: No Solution
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[40, 60], Operations: ['88-48=40', '48+12=60']
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,11 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[88, 12, 1], Operations: ['48/48=1']
Exploring Operation: 88/1=88, Resulting Numbers: [12, 88]
Generated Node #0,3,0: 11:[12, 88] Operation: 88/1=88
Exploring Operation: 12-1=11, Resulting Numbers: [88, 11]
Generated Node #0,3,1: 11:[88, 11] Operation: 12-1=11
Exploring Operation: 88*1=88, Resulting Numbers: [12, 88]
Generated Node #0,3,2: 11:[12, 88] Operation: 88*1=88
Exploring Operation: 88-1=87, Resulting Numbers: [12, 87]
Generated Node #0,3,3: 11:[12, 87] Operation: 88-1=87
Exploring Operation: 88-12=76, Resulting Numbers: [1, 76]
Generated Node #0,3,4: 11:[1, 76] Operation: 88-12=76
Moving to Node #0,3,4
Current State: 11:[1, 76], Operations: ['48/48=1', '88-12=76']
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,11 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[12, 87], Operations: ['48/48=1', '88-1=87']
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,11 unequal: No Solution
Exploring Operation: 12*87=1044, Resulting Numbers: [1044]
1044,11 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[88, 11], Operations: ['48/48=1', '12-1=11']
Exploring Operation: 88/11=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 88*11=968, Resulting Numbers: [968]
968,11 unequal: No Solution
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,11 unequal: No Solution
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[12, 88], Operations: ['48/48=1', '88/1=88']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Exploring Operation: 12*88=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[12, 88], Operations: ['48/48=1', '88*1=88']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Exploring Operation: 12*88=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[88, 12, 0], Operations: ['48-48=0']
Exploring Operation: 88-0=88, Resulting Numbers: [12, 88]
Generated Node #0,0,0: 11:[12, 88] Operation: 88-0=88
Exploring Operation: 12+0=12, Resulting Numbers: [88, 12]
Generated Node #0,0,1: 11:[88, 12] Operation: 12+0=12
Exploring Operation: 88-12=76, Resulting Numbers: [0, 76]
Generated Node #0,0,2: 11:[0, 76] Operation: 88-12=76
Exploring Operation: 88*0=0, Resulting Numbers: [12, 0]
Generated Node #0,0,3: 11:[12, 0] Operation: 88*0=0
Exploring Operation: 88+0=88, Resulting Numbers: [12, 88]
Generated Node #0,0,4: 11:[12, 88] Operation: 88+0=88
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 11:[12, 0], Operations: ['48-48=0', '88*0=0']
Exploring Operation: 12*0=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 12+0=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 12-0=12, Resulting Numbers: [12]
12,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[0, 76], Operations: ['48-48=0', '88-12=76']
Exploring Operation: 0+76=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 0*76=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 76-0=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[12, 88], Operations: ['48-48=0', '88-0=88']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 12*88=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[88, 12], Operations: ['48-48=0', '12+0=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 88*12=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
Exploring Operation: 88+12=100, Resulting Numbers: [100]
100,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 11:[12, 88], Operations: ['48-48=0', '88+0=88']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 12+88=100, Resulting Numbers: [100]
100,11 unequal: No Solution
Exploring Operation: 12*88=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 11:[48, 88, 4], Operations: ['48/12=4']
Exploring Operation: 88-48=40, Resulting Numbers: [4, 40]
Generated Node #0,4,0: 11:[4, 40] Operation: 88-48=40
Exploring Operation: 48/4=12, Resulting Numbers: [88, 12]
Generated Node #0,4,1: 11:[88, 12] Operation: 48/4=12
Exploring Operation: 88-4=84, Resulting Numbers: [48, 84]
Generated Node #0,4,2: 11:[48, 84] Operation: 88-4=84
Exploring Operation: 48-4=44, Resulting Numbers: [88, 44]
Generated Node #0,4,3: 11:[88, 44] Operation: 48-4=44
Exploring Operation: 88/4=22, Resulting Numbers: [48, 22]
Generated Node #0,4,4: 11:[48, 22] Operation: 88/4=22
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 11:[4, 40], Operations: ['48/12=4', '88-48=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,11 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 11:[48, 22], Operations: ['48/12=4', '88/4=22']
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,11 unequal: No Solution
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 11:[88, 12], Operations: ['48/12=4', '48/4=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 88*12=1056, Resulting Numbers: [1056]
1056,11 unequal: No Solution
Exploring Operation: 88+12=100, Resulting Numbers: [100]
100,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 11:[48, 84], Operations: ['48/12=4', '88-4=84']
Exploring Operation: 48+84=132, Resulting Numbers: [132]
132,11 unequal: No Solution
Exploring Operation: 48*84=4032, Resulting Numbers: [4032]
4032,11 unequal: No Solution
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 11:[88, 44], Operations: ['48/12=4', '48-4=44']
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,11 unequal: No Solution
Exploring Operation: 88+44=132, Resulting Numbers: [132]
132,11 unequal: No Solution
Exploring Operation: 88*44=3872, Resulting Numbers: [3872]
3872,11 unequal: No Solution
Exploring Operation: 88/44=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
50,
35,
68
] | 25 | [
"2*35=70",
"70-68=2",
"50/2=25"
] | Current State: 25:[2, 50, 35, 68], Operations: []
Exploring Operation: 2*35=70, Resulting Numbers: [50, 68, 70]
Generated Node #2: [50, 68, 70] from Operation: 2*35=70
Current State: 25:[50, 68, 70], Operations: ['2*35=70']
Exploring Operation: 70-68=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 70-68=2
Current State: 25:[50, 2], Operations: ['2*35=70', '70-68=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[2, 50, 35, 68], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [2, 35, 18]
Generated Node #0,0: 25:[2, 35, 18] Operation: 68-50=18
Exploring Operation: 68/2=34, Resulting Numbers: [50, 35, 34]
Generated Node #0,1: 25:[50, 35, 34] Operation: 68/2=34
Exploring Operation: 50/2=25, Resulting Numbers: [35, 68, 25]
Generated Node #0,2: 25:[35, 68, 25] Operation: 50/2=25
Exploring Operation: 68-35=33, Resulting Numbers: [2, 50, 33]
Generated Node #0,3: 25:[2, 50, 33] Operation: 68-35=33
Exploring Operation: 50-35=15, Resulting Numbers: [2, 68, 15]
Generated Node #0,4: 25:[2, 68, 15] Operation: 50-35=15
Moving to Node #0,0
Current State: 25:[2, 35, 18], Operations: ['68-50=18']
Exploring Operation: 18/2=9, Resulting Numbers: [35, 9]
Generated Node #0,0,0: 25:[35, 9] Operation: 18/2=9
Exploring Operation: 35-2=33, Resulting Numbers: [18, 33]
Generated Node #0,0,1: 25:[18, 33] Operation: 35-2=33
Exploring Operation: 35-18=17, Resulting Numbers: [2, 17]
Generated Node #0,0,2: 25:[2, 17] Operation: 35-18=17
Exploring Operation: 2+18=20, Resulting Numbers: [35, 20]
Generated Node #0,0,3: 25:[35, 20] Operation: 2+18=20
Exploring Operation: 2+35=37, Resulting Numbers: [18, 37]
Generated Node #0,0,4: 25:[18, 37] Operation: 2+35=37
Moving to Node #0,3
Current State: 25:[2, 50, 33], Operations: ['68-35=33']
Exploring Operation: 2+50=52, Resulting Numbers: [33, 52]
Generated Node #0,3,0: 25:[33, 52] Operation: 2+50=52
Exploring Operation: 50/2=25, Resulting Numbers: [33, 25]
Generated Node #0,3,1: 25:[33, 25] Operation: 50/2=25
Exploring Operation: 50-33=17, Resulting Numbers: [2, 17]
Generated Node #0,3,2: 25:[2, 17] Operation: 50-33=17
Exploring Operation: 33-2=31, Resulting Numbers: [50, 31]
Generated Node #0,3,3: 25:[50, 31] Operation: 33-2=31
Exploring Operation: 50-2=48, Resulting Numbers: [33, 48]
Generated Node #0,3,4: 25:[33, 48] Operation: 50-2=48
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[33, 25], Operations: ['68-35=33', '50/2=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[2, 17], Operations: ['68-35=33', '50-33=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[50, 31], Operations: ['68-35=33', '33-2=31']
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 50*31=1550, Resulting Numbers: [1550]
1550,25 unequal: No Solution
Exploring Operation: 50+31=81, Resulting Numbers: [81]
81,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 25:[33, 48], Operations: ['68-35=33', '50-2=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 33*48=1584, Resulting Numbers: [1584]
1584,25 unequal: No Solution
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[33, 52], Operations: ['68-35=33', '2+50=52']
Exploring Operation: 33+52=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 33*52=1716, Resulting Numbers: [1716]
1716,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 25:[50, 35, 34], Operations: ['68/2=34']
Exploring Operation: 50+34=84, Resulting Numbers: [35, 84]
Generated Node #0,1,0: 25:[35, 84] Operation: 50+34=84
Exploring Operation: 50-34=16, Resulting Numbers: [35, 16]
Generated Node #0,1,1: 25:[35, 16] Operation: 50-34=16
Exploring Operation: 35-34=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 25:[50, 1] Operation: 35-34=1
Exploring Operation: 50+35=85, Resulting Numbers: [34, 85]
Generated Node #0,1,3: 25:[34, 85] Operation: 50+35=85
Exploring Operation: 50-35=15, Resulting Numbers: [34, 15]
Generated Node #0,1,4: 25:[34, 15] Operation: 50-35=15
Moving to Node #0,2
Current State: 25:[35, 68, 25], Operations: ['50/2=25']
Exploring Operation: 35-25=10, Resulting Numbers: [68, 10]
Generated Node #0,2,0: 25:[68, 10] Operation: 35-25=10
Exploring Operation: 68-35=33, Resulting Numbers: [25, 33]
Generated Node #0,2,1: 25:[25, 33] Operation: 68-35=33
Exploring Operation: 35+68=103, Resulting Numbers: [25, 103]
Generated Node #0,2,2: 25:[25, 103] Operation: 35+68=103
Exploring Operation: 35+25=60, Resulting Numbers: [68, 60]
Generated Node #0,2,3: 25:[68, 60] Operation: 35+25=60
Exploring Operation: 68-25=43, Resulting Numbers: [35, 43]
Generated Node #0,2,4: 25:[35, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[25, 33], Operations: ['50/2=25', '68-35=33']
Exploring Operation: 25+33=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 25*33=825, Resulting Numbers: [825]
825,25 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 25:[35, 43], Operations: ['50/2=25', '68-25=43']
Exploring Operation: 35+43=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 35*43=1505, Resulting Numbers: [1505]
1505,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[68, 10], Operations: ['50/2=25', '35-25=10']
Exploring Operation: 68+10=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 68-10=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 68*10=680, Resulting Numbers: [680]
680,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[25, 103], Operations: ['50/2=25', '35+68=103']
Exploring Operation: 25*103=2575, Resulting Numbers: [2575]
2575,25 unequal: No Solution
Exploring Operation: 25+103=128, Resulting Numbers: [128]
128,25 unequal: No Solution
Exploring Operation: 103-25=78, Resulting Numbers: [78]
78,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[68, 60], Operations: ['50/2=25', '35+25=60']
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,25 unequal: No Solution
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 25:[2, 68, 15], Operations: ['50-35=15']
Exploring Operation: 68-2=66, Resulting Numbers: [15, 66]
Generated Node #0,4,0: 25:[15, 66] Operation: 68-2=66
Exploring Operation: 68/2=34, Resulting Numbers: [15, 34]
Generated Node #0,4,1: 25:[15, 34] Operation: 68/2=34
Exploring Operation: 2+15=17, Resulting Numbers: [68, 17]
Generated Node #0,4,2: 25:[68, 17] Operation: 2+15=17
Exploring Operation: 68-15=53, Resulting Numbers: [2, 53]
Generated Node #0,4,3: 25:[2, 53] Operation: 68-15=53
Exploring Operation: 2*15=30, Resulting Numbers: [68, 30]
Generated Node #0,4,4: 25:[68, 30] Operation: 2*15=30
Moving to Node #0,0,2
Current State: 25:[2, 17], Operations: ['68-50=18', '35-18=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[35, 9], Operations: ['68-50=18', '18/2=9']
Exploring Operation: 35*9=315, Resulting Numbers: [315]
315,25 unequal: No Solution
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,25 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[18, 33], Operations: ['68-50=18', '35-2=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 18*33=594, Resulting Numbers: [594]
594,25 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[35, 20], Operations: ['68-50=18', '2+18=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,25 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Moving to Node #0,1,4
Current State: 25:[34, 15], Operations: ['68/2=34', '50-35=15']
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,25 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[35, 16], Operations: ['68/2=34', '50-34=16']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[18, 37], Operations: ['68-50=18', '2+35=37']
Exploring Operation: 18*37=666, Resulting Numbers: [666]
666,25 unequal: No Solution
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[15, 34], Operations: ['50-35=15', '68/2=34']
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,25 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[50, 1], Operations: ['68/2=34', '35-34=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 50*1=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Moving to Node #0,4,3
Current State: 25:[2, 53], Operations: ['50-35=15', '68-15=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,25 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Moving to Node #0,4,4
Current State: 25:[68, 30], Operations: ['50-35=15', '2*15=30']
Exploring Operation: 68*30=2040, Resulting Numbers: [2040]
2040,25 unequal: No Solution
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 68+30=98, Resulting Numbers: [98]
98,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[15, 66], Operations: ['50-35=15', '68-2=66']
Exploring Operation: 15*66=990, Resulting Numbers: [990]
990,25 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 15+66=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[68, 17], Operations: ['50-35=15', '2+15=17']
Exploring Operation: 68-17=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 68*17=1156, Resulting Numbers: [1156]
1156,25 unequal: No Solution
Exploring Operation: 68+17=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[35, 84], Operations: ['68/2=34', '50+34=84']
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 35*84=2940, Resulting Numbers: [2940]
2940,25 unequal: No Solution
Exploring Operation: 35+84=119, Resulting Numbers: [119]
119,25 unequal: No Solution
Moving to Node #0,1,3
Current State: 25:[34, 85], Operations: ['68/2=34', '50+35=85']
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,25 unequal: No Solution
Exploring Operation: 34+85=119, Resulting Numbers: [119]
119,25 unequal: No Solution
Exploring Operation: 34*85=2890, Resulting Numbers: [2890]
2890,25 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
79,
76,
78,
90
] | 56 | [
"79-76=3",
"78+90=168",
"168/3=56"
] | Current State: 56:[79, 76, 78, 90], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [78, 90, 3]
Generated Node #2: [78, 90, 3] from Operation: 79-76=3
Current State: 56:[78, 90, 3], Operations: ['79-76=3']
Exploring Operation: 78+90=168, Resulting Numbers: [3, 168]
Generated Node #3: [3, 168] from Operation: 78+90=168
Current State: 56:[3, 168], Operations: ['79-76=3', '78+90=168']
Exploring Operation: 168/3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[79, 76, 78, 90], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [79, 78, 14]
Generated Node #0,0: 56:[79, 78, 14] Operation: 90-76=14
Exploring Operation: 90-79=11, Resulting Numbers: [76, 78, 11]
Generated Node #0,1: 56:[76, 78, 11] Operation: 90-79=11
Moving to Node #0,0
Current State: 56:[79, 78, 14], Operations: ['90-76=14']
Exploring Operation: 79-14=65, Resulting Numbers: [78, 65]
Generated Node #0,0,0: 56:[78, 65] Operation: 79-14=65
Exploring Operation: 79-78=1, Resulting Numbers: [14, 1]
Generated Node #0,0,1: 56:[14, 1] Operation: 79-78=1
Moving to Node #0,1
Current State: 56:[76, 78, 11], Operations: ['90-79=11']
Exploring Operation: 78-76=2, Resulting Numbers: [11, 2]
Generated Node #0,1,0: 56:[11, 2] Operation: 78-76=2
Exploring Operation: 76-11=65, Resulting Numbers: [78, 65]
Generated Node #0,1,1: 56:[78, 65] Operation: 76-11=65
Moving to Node #0,0,1
Current State: 56:[14, 1], Operations: ['90-76=14', '79-78=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[11, 2], Operations: ['90-79=11', '78-76=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[78, 65], Operations: ['90-76=14', '79-14=65']
Exploring Operation: 78+65=143, Resulting Numbers: [143]
143,56 unequal: No Solution
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[78, 65], Operations: ['90-79=11', '76-11=65']
Exploring Operation: 78+65=143, Resulting Numbers: [143]
143,56 unequal: No Solution
Exploring Operation: 78-65=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
97,
7,
16
] | 13 | [
"16-8=8",
"97+7=104",
"104/8=13"
] | Current State: 13:[8, 97, 7, 16], Operations: []
Exploring Operation: 16-8=8, Resulting Numbers: [97, 7, 8]
Generated Node #2: [97, 7, 8] from Operation: 16-8=8
Current State: 13:[97, 7, 8], Operations: ['16-8=8']
Exploring Operation: 97+7=104, Resulting Numbers: [8, 104]
Generated Node #3: [8, 104] from Operation: 97+7=104
Current State: 13:[8, 104], Operations: ['16-8=8', '97+7=104']
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[8, 97, 7, 16], Operations: []
Exploring Operation: 97-16=81, Resulting Numbers: [8, 7, 81]
Generated Node #0,0: 13:[8, 7, 81] Operation: 97-16=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[8, 7, 81], Operations: ['97-16=81']
Exploring Operation: 81-8=73, Resulting Numbers: [7, 73]
Generated Node #0,0,0: 13:[7, 73] Operation: 81-8=73
Moving to Node #0,0,0
Current State: 13:[7, 73], Operations: ['97-16=81', '81-8=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
56,
60,
19
] | 96 | [
"5+19=24",
"60-56=4",
"24*4=96"
] | Current State: 96:[5, 56, 60, 19], Operations: []
Exploring Operation: 5+19=24, Resulting Numbers: [56, 60, 24]
Generated Node #2: [56, 60, 24] from Operation: 5+19=24
Current State: 96:[56, 60, 24], Operations: ['5+19=24']
Exploring Operation: 60-56=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 60-56=4
Current State: 96:[24, 4], Operations: ['5+19=24', '60-56=4']
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[5, 56, 60, 19], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [5, 19, 4]
Generated Node #0,0: 96:[5, 19, 4] Operation: 60-56=4
Exploring Operation: 60/5=12, Resulting Numbers: [56, 19, 12]
Generated Node #0,1: 96:[56, 19, 12] Operation: 60/5=12
Moving to Node #0,0
Current State: 96:[5, 19, 4], Operations: ['60-56=4']
Exploring Operation: 5+19=24, Resulting Numbers: [4, 24]
Generated Node #0,0,0: 96:[4, 24] Operation: 5+19=24
Exploring Operation: 5*19=95, Resulting Numbers: [4, 95]
Generated Node #0,0,1: 96:[4, 95] Operation: 5*19=95
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[4, 24], Operations: ['60-56=4', '5+19=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[5, 56, 60, 19], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [5, 19, 4]
Generated Node #0,0: 96:[5, 19, 4] Operation: 60-56=4
Moving to Node #0,0
Current State: 96:[5, 19, 4], Operations: ['60-56=4']
Exploring Operation: 5+19=24, Resulting Numbers: [4, 24]
Generated Node #0,0,0: 96:[4, 24] Operation: 5+19=24
Moving to Node #0,0,0
Current State: 96:[4, 24], Operations: ['60-56=4', '5+19=24']
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
11,
48,
33,
23
] | 27 | [
"48-11=37",
"33-23=10",
"37-10=27"
] | Current State: 27:[11, 48, 33, 23], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [33, 23, 37]
Generated Node #2: [33, 23, 37] from Operation: 48-11=37
Current State: 27:[33, 23, 37], Operations: ['48-11=37']
Exploring Operation: 33-23=10, Resulting Numbers: [37, 10]
Generated Node #3: [37, 10] from Operation: 33-23=10
Current State: 27:[37, 10], Operations: ['48-11=37', '33-23=10']
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[11, 48, 33, 23], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [11, 23, 15]
Generated Node #0,0: 27:[11, 23, 15] Operation: 48-33=15
Exploring Operation: 48-11=37, Resulting Numbers: [33, 23, 37]
Generated Node #0,1: 27:[33, 23, 37] Operation: 48-11=37
Exploring Operation: 48-23=25, Resulting Numbers: [11, 33, 25]
Generated Node #0,2: 27:[11, 33, 25] Operation: 48-23=25
Moving to Node #0,2
Current State: 27:[11, 33, 25], Operations: ['48-23=25']
Exploring Operation: 33/11=3, Resulting Numbers: [25, 3]
Generated Node #0,2,0: 27:[25, 3] Operation: 33/11=3
Exploring Operation: 33-25=8, Resulting Numbers: [11, 8]
Generated Node #0,2,1: 27:[11, 8] Operation: 33-25=8
Exploring Operation: 33-11=22, Resulting Numbers: [25, 22]
Generated Node #0,2,2: 27:[25, 22] Operation: 33-11=22
Moving to Node #0,0
Current State: 27:[11, 23, 15], Operations: ['48-33=15']
Exploring Operation: 11+15=26, Resulting Numbers: [23, 26]
Generated Node #0,0,0: 27:[23, 26] Operation: 11+15=26
Exploring Operation: 23-15=8, Resulting Numbers: [11, 8]
Generated Node #0,0,1: 27:[11, 8] Operation: 23-15=8
Exploring Operation: 15-11=4, Resulting Numbers: [23, 4]
Generated Node #0,0,2: 27:[23, 4] Operation: 15-11=4
Moving to Node #0,1
Current State: 27:[33, 23, 37], Operations: ['48-11=37']
Exploring Operation: 33-23=10, Resulting Numbers: [37, 10]
Generated Node #0,1,0: 27:[37, 10] Operation: 33-23=10
Exploring Operation: 37-23=14, Resulting Numbers: [33, 14]
Generated Node #0,1,1: 27:[33, 14] Operation: 37-23=14
Exploring Operation: 37-33=4, Resulting Numbers: [23, 4]
Generated Node #0,1,2: 27:[23, 4] Operation: 37-33=4
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 27:[23, 4], Operations: ['48-11=37', '37-33=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,27 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[11, 48, 33, 23], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [33, 23, 37]
Generated Node #0,1: 27:[33, 23, 37] Operation: 48-11=37
Moving to Node #0,1
Current State: 27:[33, 23, 37], Operations: ['48-11=37']
Exploring Operation: 37-33=4, Resulting Numbers: [23, 4]
Generated Node #0,1,2: 27:[23, 4] Operation: 37-33=4
Moving to Node #0,1,2
Current State: 27:[23, 4], Operations: ['48-11=37', '37-33=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
90,
22,
87,
91
] | 72 | [
"90-22=68",
"91-87=4",
"68+4=72"
] | Current State: 72:[90, 22, 87, 91], Operations: []
Exploring Operation: 90-22=68, Resulting Numbers: [87, 91, 68]
Generated Node #2: [87, 91, 68] from Operation: 90-22=68
Current State: 72:[87, 91, 68], Operations: ['90-22=68']
Exploring Operation: 91-87=4, Resulting Numbers: [68, 4]
Generated Node #3: [68, 4] from Operation: 91-87=4
Current State: 72:[68, 4], Operations: ['90-22=68', '91-87=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[90, 22, 87, 91], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [22, 87, 1]
Generated Node #0,0: 72:[22, 87, 1] Operation: 91-90=1
Exploring Operation: 91-87=4, Resulting Numbers: [90, 22, 4]
Generated Node #0,1: 72:[90, 22, 4] Operation: 91-87=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[22, 87, 1], Operations: ['91-90=1']
Exploring Operation: 22+1=23, Resulting Numbers: [87, 23]
Generated Node #0,0,0: 72:[87, 23] Operation: 22+1=23
Exploring Operation: 87-22=65, Resulting Numbers: [1, 65]
Generated Node #0,0,1: 72:[1, 65] Operation: 87-22=65
Moving to Node #0,0,1
Current State: 72:[1, 65], Operations: ['91-90=1', '87-22=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[87, 23], Operations: ['91-90=1', '22+1=23']
Exploring Operation: 87+23=110, Resulting Numbers: [110]
110,72 unequal: No Solution
Exploring Operation: 87-23=64, Resulting Numbers: [64]
64,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[90, 22, 4], Operations: ['91-87=4']
Exploring Operation: 90-22=68, Resulting Numbers: [4, 68]
Generated Node #0,1,0: 72:[4, 68] Operation: 90-22=68
Exploring Operation: 90-4=86, Resulting Numbers: [22, 86]
Generated Node #0,1,1: 72:[22, 86] Operation: 90-4=86
Moving to Node #0,1,0
Current State: 72:[4, 68], Operations: ['91-87=4', '90-22=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[90, 22, 87, 91], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [90, 22, 4]
Generated Node #0,1: 72:[90, 22, 4] Operation: 91-87=4
Moving to Node #0,1
Current State: 72:[90, 22, 4], Operations: ['91-87=4']
Exploring Operation: 90-22=68, Resulting Numbers: [4, 68]
Generated Node #0,1,0: 72:[4, 68] Operation: 90-22=68
Moving to Node #0,1,0
Current State: 72:[4, 68], Operations: ['91-87=4', '90-22=68']
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
2,
46,
64,
75
] | 100 | [
"2+46=48",
"64*75=4800",
"4800/48=100"
] | Current State: 100:[2, 46, 64, 75], Operations: []
Exploring Operation: 2+46=48, Resulting Numbers: [64, 75, 48]
Generated Node #2: [64, 75, 48] from Operation: 2+46=48
Current State: 100:[64, 75, 48], Operations: ['2+46=48']
Exploring Operation: 64*75=4800, Resulting Numbers: [48, 4800]
Generated Node #3: [48, 4800] from Operation: 64*75=4800
Current State: 100:[48, 4800], Operations: ['2+46=48', '64*75=4800']
Exploring Operation: 4800/48=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[2, 46, 64, 75], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [2, 46, 11]
Generated Node #0,0: 100:[2, 46, 11] Operation: 75-64=11
Moving to Node #0,0
Current State: 100:[2, 46, 11], Operations: ['75-64=11']
Exploring Operation: 2+46=48, Resulting Numbers: [11, 48]
Generated Node #0,0,0: 100:[11, 48] Operation: 2+46=48
Moving to Node #0,0,0
Current State: 100:[11, 48], Operations: ['75-64=11', '2+46=48']
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,100 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
67,
56,
81,
28
] | 70 | [
"67+56=123",
"81-28=53",
"123-53=70"
] | Current State: 70:[67, 56, 81, 28], Operations: []
Exploring Operation: 67+56=123, Resulting Numbers: [81, 28, 123]
Generated Node #2: [81, 28, 123] from Operation: 67+56=123
Current State: 70:[81, 28, 123], Operations: ['67+56=123']
Exploring Operation: 81-28=53, Resulting Numbers: [123, 53]
Generated Node #3: [123, 53] from Operation: 81-28=53
Current State: 70:[123, 53], Operations: ['67+56=123', '81-28=53']
Exploring Operation: 123-53=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[67, 56, 81, 28], Operations: []
Exploring Operation: 67-56=11, Resulting Numbers: [81, 28, 11]
Generated Node #0,0: 70:[81, 28, 11] Operation: 67-56=11
Exploring Operation: 81-56=25, Resulting Numbers: [67, 28, 25]
Generated Node #0,1: 70:[67, 28, 25] Operation: 81-56=25
Exploring Operation: 56/28=2, Resulting Numbers: [67, 81, 2]
Generated Node #0,2: 70:[67, 81, 2] Operation: 56/28=2
Exploring Operation: 81-67=14, Resulting Numbers: [56, 28, 14]
Generated Node #0,3: 70:[56, 28, 14] Operation: 81-67=14
Moving to Node #0,2
Current State: 70:[67, 81, 2], Operations: ['56/28=2']
Exploring Operation: 81-67=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 70:[2, 14] Operation: 81-67=14
Exploring Operation: 67+2=69, Resulting Numbers: [81, 69]
Generated Node #0,2,1: 70:[81, 69] Operation: 67+2=69
Exploring Operation: 67-2=65, Resulting Numbers: [81, 65]
Generated Node #0,2,2: 70:[81, 65] Operation: 67-2=65
Exploring Operation: 81-2=79, Resulting Numbers: [67, 79]
Generated Node #0,2,3: 70:[67, 79] Operation: 81-2=79
Moving to Node #0,0
Current State: 70:[81, 28, 11], Operations: ['67-56=11']
Exploring Operation: 81-28=53, Resulting Numbers: [11, 53]
Generated Node #0,0,0: 70:[11, 53] Operation: 81-28=53
Exploring Operation: 28-11=17, Resulting Numbers: [81, 17]
Generated Node #0,0,1: 70:[81, 17] Operation: 28-11=17
Exploring Operation: 28+11=39, Resulting Numbers: [81, 39]
Generated Node #0,0,2: 70:[81, 39] Operation: 28+11=39
Exploring Operation: 81-11=70, Resulting Numbers: [28, 70]
Generated Node #0,0,3: 70:[28, 70] Operation: 81-11=70
Moving to Node #0,1
Current State: 70:[67, 28, 25], Operations: ['81-56=25']
Exploring Operation: 67-28=39, Resulting Numbers: [25, 39]
Generated Node #0,1,0: 70:[25, 39] Operation: 67-28=39
Exploring Operation: 67-25=42, Resulting Numbers: [28, 42]
Generated Node #0,1,1: 70:[28, 42] Operation: 67-25=42
Exploring Operation: 28-25=3, Resulting Numbers: [67, 3]
Generated Node #0,1,2: 70:[67, 3] Operation: 28-25=3
Exploring Operation: 28+25=53, Resulting Numbers: [67, 53]
Generated Node #0,1,3: 70:[67, 53] Operation: 28+25=53
Moving to Node #0,3
Current State: 70:[56, 28, 14], Operations: ['81-67=14']
Exploring Operation: 56/14=4, Resulting Numbers: [28, 4]
Generated Node #0,3,0: 70:[28, 4] Operation: 56/14=4
Exploring Operation: 56/28=2, Resulting Numbers: [14, 2]
Generated Node #0,3,1: 70:[14, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [14, 28]
Generated Node #0,3,2: 70:[14, 28] Operation: 56-28=28
Exploring Operation: 56+14=70, Resulting Numbers: [28, 70]
Generated Node #0,3,3: 70:[28, 70] Operation: 56+14=70
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[14, 2], Operations: ['81-67=14', '56/28=2']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,70 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[14, 28], Operations: ['81-67=14', '56-28=28']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,70 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[28, 70], Operations: ['81-67=14', '56+14=70']
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 28*70=1960, Resulting Numbers: [1960]
1960,70 unequal: No Solution
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[28, 4], Operations: ['81-67=14', '56/14=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,70 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,70 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,70 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 70:[2, 14], Operations: ['56/28=2', '81-67=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,70 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[67, 3], Operations: ['81-56=25', '28-25=3']
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,70 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,70 unequal: No Solution
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[67, 56, 81, 28], Operations: []
Exploring Operation: 81-56=25, Resulting Numbers: [67, 28, 25]
Generated Node #0,1: 70:[67, 28, 25] Operation: 81-56=25
Moving to Node #0,1
Current State: 70:[67, 28, 25], Operations: ['81-56=25']
Exploring Operation: 28-25=3, Resulting Numbers: [67, 3]
Generated Node #0,1,2: 70:[67, 3] Operation: 28-25=3
Moving to Node #0,1,2
Current State: 70:[67, 3], Operations: ['81-56=25', '28-25=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.960069 | hs_4 | mult_heuristic |
[
56,
4,
7,
14
] | 59 | [
"56-4=52",
"14-7=7",
"52+7=59"
] | Current State: 59:[56, 4, 7, 14], Operations: []
Exploring Operation: 56-4=52, Resulting Numbers: [7, 14, 52]
Generated Node #2: [7, 14, 52] from Operation: 56-4=52
Current State: 59:[7, 14, 52], Operations: ['56-4=52']
Exploring Operation: 14-7=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 14-7=7
Current State: 59:[52, 7], Operations: ['56-4=52', '14-7=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[56, 4, 7, 14], Operations: []
Exploring Operation: 4+14=18, Resulting Numbers: [56, 7, 18]
Generated Node #0,0: 59:[56, 7, 18] Operation: 4+14=18
Exploring Operation: 4*7=28, Resulting Numbers: [56, 14, 28]
Generated Node #0,1: 59:[56, 14, 28] Operation: 4*7=28
Exploring Operation: 4*14=56, Resulting Numbers: [56, 7, 56]
Generated Node #0,2: 59:[56, 7, 56] Operation: 4*14=56
Exploring Operation: 4+7=11, Resulting Numbers: [56, 14, 11]
Generated Node #0,3: 59:[56, 14, 11] Operation: 4+7=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[56, 7, 56], Operations: ['4*14=56']
Exploring Operation: 56-7=49, Resulting Numbers: [56, 49]
Generated Node #0,2,0: 59:[56, 49] Operation: 56-7=49
Exploring Operation: 56-7=49, Resulting Numbers: [56, 49]
Generated Node #0,2,1: 59:[56, 49] Operation: 56-7=49
Exploring Operation: 7+56=63, Resulting Numbers: [56, 63]
Generated Node #0,2,2: 59:[56, 63] Operation: 7+56=63
Exploring Operation: 56+7=63, Resulting Numbers: [56, 63]
Generated Node #0,2,3: 59:[56, 63] Operation: 56+7=63
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 59:[56, 63], Operations: ['4*14=56', '7+56=63']
Exploring Operation: 63-56=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 56*63=3528, Resulting Numbers: [3528]
3528,59 unequal: No Solution
Exploring Operation: 56+63=119, Resulting Numbers: [119]
119,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 59:[56, 63], Operations: ['4*14=56', '56+7=63']
Exploring Operation: 56*63=3528, Resulting Numbers: [3528]
3528,59 unequal: No Solution
Exploring Operation: 63-56=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 56+63=119, Resulting Numbers: [119]
119,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[56, 49], Operations: ['4*14=56', '56-7=49']
Exploring Operation: 56*49=2744, Resulting Numbers: [2744]
2744,59 unequal: No Solution
Exploring Operation: 56-49=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 56+49=105, Resulting Numbers: [105]
105,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 59:[56, 49], Operations: ['4*14=56', '56-7=49']
Exploring Operation: 56+49=105, Resulting Numbers: [105]
105,59 unequal: No Solution
Exploring Operation: 56*49=2744, Resulting Numbers: [2744]
2744,59 unequal: No Solution
Exploring Operation: 56-49=7, Resulting Numbers: [7]
7,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[56, 14, 28], Operations: ['4*7=28']
Exploring Operation: 56-14=42, Resulting Numbers: [28, 42]
Generated Node #0,1,0: 59:[28, 42] Operation: 56-14=42
Exploring Operation: 14+28=42, Resulting Numbers: [56, 42]
Generated Node #0,1,1: 59:[56, 42] Operation: 14+28=42
Exploring Operation: 56+14=70, Resulting Numbers: [28, 70]
Generated Node #0,1,2: 59:[28, 70] Operation: 56+14=70
Exploring Operation: 28-14=14, Resulting Numbers: [56, 14]
Generated Node #0,1,3: 59:[56, 14] Operation: 28-14=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[56, 42], Operations: ['4*7=28', '14+28=42']
Exploring Operation: 56+42=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 56*42=2352, Resulting Numbers: [2352]
2352,59 unequal: No Solution
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 59:[28, 70], Operations: ['4*7=28', '56+14=70']
Exploring Operation: 28+70=98, Resulting Numbers: [98]
98,59 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 28*70=1960, Resulting Numbers: [1960]
1960,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[28, 42], Operations: ['4*7=28', '56-14=42']
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,59 unequal: No Solution
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,59 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 59:[56, 14], Operations: ['4*7=28', '28-14=14']
Exploring Operation: 56*14=784, Resulting Numbers: [784]
784,59 unequal: No Solution
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,59 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 56/14=4, Resulting Numbers: [4]
4,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[56, 7, 18], Operations: ['4+14=18']
Exploring Operation: 56-7=49, Resulting Numbers: [18, 49]
Generated Node #0,0,0: 59:[18, 49] Operation: 56-7=49
Exploring Operation: 18-7=11, Resulting Numbers: [56, 11]
Generated Node #0,0,1: 59:[56, 11] Operation: 18-7=11
Exploring Operation: 7+18=25, Resulting Numbers: [56, 25]
Generated Node #0,0,2: 59:[56, 25] Operation: 7+18=25
Exploring Operation: 56+7=63, Resulting Numbers: [18, 63]
Generated Node #0,0,3: 59:[18, 63] Operation: 56+7=63
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[56, 25], Operations: ['4+14=18', '7+18=25']
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,59 unequal: No Solution
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 59:[18, 63], Operations: ['4+14=18', '56+7=63']
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,59 unequal: No Solution
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Exploring Operation: 18*63=1134, Resulting Numbers: [1134]
1134,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[18, 49], Operations: ['4+14=18', '56-7=49']
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,59 unequal: No Solution
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,59 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[56, 11], Operations: ['4+14=18', '18-7=11']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,59 unequal: No Solution
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,59 unequal: No Solution
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[56, 14, 11], Operations: ['4+7=11']
Exploring Operation: 56+14=70, Resulting Numbers: [11, 70]
Generated Node #0,3,0: 59:[11, 70] Operation: 56+14=70
Exploring Operation: 14+11=25, Resulting Numbers: [56, 25]
Generated Node #0,3,1: 59:[56, 25] Operation: 14+11=25
Exploring Operation: 56-11=45, Resulting Numbers: [14, 45]
Generated Node #0,3,2: 59:[14, 45] Operation: 56-11=45
Exploring Operation: 56+11=67, Resulting Numbers: [14, 67]
Generated Node #0,3,3: 59:[14, 67] Operation: 56+11=67
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 59:[56, 25], Operations: ['4+7=11', '14+11=25']
Exploring Operation: 56+25=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 56*25=1400, Resulting Numbers: [1400]
1400,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 59:[14, 67], Operations: ['4+7=11', '56+11=67']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 14*67=938, Resulting Numbers: [938]
938,59 unequal: No Solution
Exploring Operation: 14+67=81, Resulting Numbers: [81]
81,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 59:[11, 70], Operations: ['4+7=11', '56+14=70']
Exploring Operation: 11*70=770, Resulting Numbers: [770]
770,59 unequal: No Solution
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,59 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[56, 4, 7, 14], Operations: []
Exploring Operation: 4+7=11, Resulting Numbers: [56, 14, 11]
Generated Node #0,3: 59:[56, 14, 11] Operation: 4+7=11
Moving to Node #0,3
Current State: 59:[56, 14, 11], Operations: ['4+7=11']
Exploring Operation: 56+14=70, Resulting Numbers: [11, 70]
Generated Node #0,3,0: 59:[11, 70] Operation: 56+14=70
Moving to Node #0,3,0
Current State: 59:[11, 70], Operations: ['4+7=11', '56+14=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.939236 | hs_4 | mult_heuristic |
[
4,
60,
46,
5
] | 51 | [
"60-46=14",
"4*14=56",
"56-5=51"
] | Current State: 51:[4, 60, 46, 5], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [4, 5, 14]
Generated Node #2: [4, 5, 14] from Operation: 60-46=14
Current State: 51:[4, 5, 14], Operations: ['60-46=14']
Exploring Operation: 4*14=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 4*14=56
Current State: 51:[5, 56], Operations: ['60-46=14', '4*14=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[4, 60, 46, 5], Operations: []
Exploring Operation: 60/4=15, Resulting Numbers: [46, 5, 15]
Generated Node #0,0: 51:[46, 5, 15] Operation: 60/4=15
Exploring Operation: 60-5=55, Resulting Numbers: [4, 46, 55]
Generated Node #0,1: 51:[4, 46, 55] Operation: 60-5=55
Exploring Operation: 60-46=14, Resulting Numbers: [4, 5, 14]
Generated Node #0,2: 51:[4, 5, 14] Operation: 60-46=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[4, 5, 14], Operations: ['60-46=14']
Exploring Operation: 4+14=18, Resulting Numbers: [5, 18]
Generated Node #0,2,0: 51:[5, 18] Operation: 4+14=18
Exploring Operation: 5+14=19, Resulting Numbers: [4, 19]
Generated Node #0,2,1: 51:[4, 19] Operation: 5+14=19
Exploring Operation: 5-4=1, Resulting Numbers: [14, 1]
Generated Node #0,2,2: 51:[14, 1] Operation: 5-4=1
Moving to Node #0,2,0
Current State: 51:[5, 18], Operations: ['60-46=14', '4+14=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[4, 19], Operations: ['60-46=14', '5+14=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,51 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[14, 1], Operations: ['60-46=14', '5-4=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[46, 5, 15], Operations: ['60/4=15']
Exploring Operation: 15/5=3, Resulting Numbers: [46, 3]
Generated Node #0,0,0: 51:[46, 3] Operation: 15/5=3
Exploring Operation: 46+5=51, Resulting Numbers: [15, 51]
Generated Node #0,0,1: 51:[15, 51] Operation: 46+5=51
Exploring Operation: 5+15=20, Resulting Numbers: [46, 20]
Generated Node #0,0,2: 51:[46, 20] Operation: 5+15=20
Moving to Node #0,0,1
Current State: 51:[15, 51], Operations: ['60/4=15', '46+5=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,51 unequal: No Solution
Exploring Operation: 15*51=765, Resulting Numbers: [765]
765,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[46, 3], Operations: ['60/4=15', '15/5=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,51 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[46, 20], Operations: ['60/4=15', '5+15=20']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,51 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[4, 46, 55], Operations: ['60-5=55']
Exploring Operation: 4+46=50, Resulting Numbers: [55, 50]
Generated Node #0,1,0: 51:[55, 50] Operation: 4+46=50
Exploring Operation: 55-46=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 51:[4, 9] Operation: 55-46=9
Exploring Operation: 55-4=51, Resulting Numbers: [46, 51]
Generated Node #0,1,2: 51:[46, 51] Operation: 55-4=51
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[55, 50], Operations: ['60-5=55', '4+46=50']
Exploring Operation: 55*50=2750, Resulting Numbers: [2750]
2750,51 unequal: No Solution
Exploring Operation: 55+50=105, Resulting Numbers: [105]
105,51 unequal: No Solution
Exploring Operation: 55-50=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[46, 51], Operations: ['60-5=55', '55-4=51']
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 46+51=97, Resulting Numbers: [97]
97,51 unequal: No Solution
Exploring Operation: 46*51=2346, Resulting Numbers: [2346]
2346,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[4, 9], Operations: ['60-5=55', '55-46=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,51 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
41,
26,
77,
90
] | 82 | [
"41*26=1066",
"90-77=13",
"1066/13=82"
] | Current State: 82:[41, 26, 77, 90], Operations: []
Exploring Operation: 41*26=1066, Resulting Numbers: [77, 90, 1066]
Generated Node #2: [77, 90, 1066] from Operation: 41*26=1066
Current State: 82:[77, 90, 1066], Operations: ['41*26=1066']
Exploring Operation: 90-77=13, Resulting Numbers: [1066, 13]
Generated Node #3: [1066, 13] from Operation: 90-77=13
Current State: 82:[1066, 13], Operations: ['41*26=1066', '90-77=13']
Exploring Operation: 1066/13=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[41, 26, 77, 90], Operations: []
Exploring Operation: 77-26=51, Resulting Numbers: [41, 90, 51]
Generated Node #0,0: 82:[41, 90, 51] Operation: 77-26=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[41, 90, 51], Operations: ['77-26=51']
Exploring Operation: 90-51=39, Resulting Numbers: [41, 39]
Generated Node #0,0,0: 82:[41, 39] Operation: 90-51=39
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[41, 39], Operations: ['77-26=51', '90-51=39']
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
49,
83,
65
] | 96 | [
"49-44=5",
"65/5=13",
"83+13=96"
] | Current State: 96:[44, 49, 83, 65], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [83, 65, 5]
Generated Node #2: [83, 65, 5] from Operation: 49-44=5
Current State: 96:[83, 65, 5], Operations: ['49-44=5']
Exploring Operation: 65/5=13, Resulting Numbers: [83, 13]
Generated Node #3: [83, 13] from Operation: 65/5=13
Current State: 96:[83, 13], Operations: ['49-44=5', '65/5=13']
Exploring Operation: 83+13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[44, 49, 83, 65], Operations: []
Exploring Operation: 65-44=21, Resulting Numbers: [49, 83, 21]
Generated Node #0,0: 96:[49, 83, 21] Operation: 65-44=21
Exploring Operation: 83-65=18, Resulting Numbers: [44, 49, 18]
Generated Node #0,1: 96:[44, 49, 18] Operation: 83-65=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[44, 49, 18], Operations: ['83-65=18']
Exploring Operation: 49-44=5, Resulting Numbers: [18, 5]
Generated Node #0,1,0: 96:[18, 5] Operation: 49-44=5
Exploring Operation: 44-18=26, Resulting Numbers: [49, 26]
Generated Node #0,1,1: 96:[49, 26] Operation: 44-18=26
Moving to Node #0,1,0
Current State: 96:[18, 5], Operations: ['83-65=18', '49-44=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[49, 26], Operations: ['83-65=18', '44-18=26']
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,96 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[49, 83, 21], Operations: ['65-44=21']
Exploring Operation: 83-49=34, Resulting Numbers: [21, 34]
Generated Node #0,0,0: 96:[21, 34] Operation: 83-49=34
Exploring Operation: 83+21=104, Resulting Numbers: [49, 104]
Generated Node #0,0,1: 96:[49, 104] Operation: 83+21=104
Moving to Node #0,0,0
Current State: 96:[21, 34], Operations: ['65-44=21', '83-49=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[49, 104], Operations: ['65-44=21', '83+21=104']
Exploring Operation: 49+104=153, Resulting Numbers: [153]
153,96 unequal: No Solution
Exploring Operation: 104-49=55, Resulting Numbers: [55]
55,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
10,
57,
65,
72
] | 36 | [
"10+57=67",
"67-65=2",
"72/2=36"
] | Current State: 36:[10, 57, 65, 72], Operations: []
Exploring Operation: 10+57=67, Resulting Numbers: [65, 72, 67]
Generated Node #2: [65, 72, 67] from Operation: 10+57=67
Current State: 36:[65, 72, 67], Operations: ['10+57=67']
Exploring Operation: 67-65=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 67-65=2
Current State: 36:[72, 2], Operations: ['10+57=67', '67-65=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[10, 57, 65, 72], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [10, 57, 7]
Generated Node #0,0: 36:[10, 57, 7] Operation: 72-65=7
Exploring Operation: 72-57=15, Resulting Numbers: [10, 65, 15]
Generated Node #0,1: 36:[10, 65, 15] Operation: 72-57=15
Exploring Operation: 57-10=47, Resulting Numbers: [65, 72, 47]
Generated Node #0,2: 36:[65, 72, 47] Operation: 57-10=47
Exploring Operation: 65-57=8, Resulting Numbers: [10, 72, 8]
Generated Node #0,3: 36:[10, 72, 8] Operation: 65-57=8
Moving to Node #0,0
Current State: 36:[10, 57, 7], Operations: ['72-65=7']
Exploring Operation: 10+7=17, Resulting Numbers: [57, 17]
Generated Node #0,0,0: 36:[57, 17] Operation: 10+7=17
Exploring Operation: 57-7=50, Resulting Numbers: [10, 50]
Generated Node #0,0,1: 36:[10, 50] Operation: 57-7=50
Exploring Operation: 57-10=47, Resulting Numbers: [7, 47]
Generated Node #0,0,2: 36:[7, 47] Operation: 57-10=47
Exploring Operation: 10-7=3, Resulting Numbers: [57, 3]
Generated Node #0,0,3: 36:[57, 3] Operation: 10-7=3
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[7, 47], Operations: ['72-65=7', '57-10=47']
Exploring Operation: 7+47=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 7*47=329, Resulting Numbers: [329]
329,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[10, 50], Operations: ['72-65=7', '57-7=50']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 10*50=500, Resulting Numbers: [500]
500,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[57, 3], Operations: ['72-65=7', '10-7=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,36 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[57, 17], Operations: ['72-65=7', '10+7=17']
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 57*17=969, Resulting Numbers: [969]
969,36 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 36:[10, 65, 15], Operations: ['72-57=15']
Exploring Operation: 65-10=55, Resulting Numbers: [15, 55]
Generated Node #0,1,0: 36:[15, 55] Operation: 65-10=55
Exploring Operation: 65-15=50, Resulting Numbers: [10, 50]
Generated Node #0,1,1: 36:[10, 50] Operation: 65-15=50
Exploring Operation: 10+15=25, Resulting Numbers: [65, 25]
Generated Node #0,1,2: 36:[65, 25] Operation: 10+15=25
Exploring Operation: 15-10=5, Resulting Numbers: [65, 5]
Generated Node #0,1,3: 36:[65, 5] Operation: 15-10=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[10, 50], Operations: ['72-57=15', '65-15=50']
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 10*50=500, Resulting Numbers: [500]
500,36 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[15, 55], Operations: ['72-57=15', '65-10=55']
Exploring Operation: 15*55=825, Resulting Numbers: [825]
825,36 unequal: No Solution
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[65, 5], Operations: ['72-57=15', '15-10=5']
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 65*5=325, Resulting Numbers: [325]
325,36 unequal: No Solution
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,36 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[65, 25], Operations: ['72-57=15', '10+15=25']
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 36:[10, 72, 8], Operations: ['65-57=8']
Exploring Operation: 72-10=62, Resulting Numbers: [8, 62]
Generated Node #0,3,0: 36:[8, 62] Operation: 72-10=62
Exploring Operation: 72-8=64, Resulting Numbers: [10, 64]
Generated Node #0,3,1: 36:[10, 64] Operation: 72-8=64
Exploring Operation: 10+8=18, Resulting Numbers: [72, 18]
Generated Node #0,3,2: 36:[72, 18] Operation: 10+8=18
Exploring Operation: 72/8=9, Resulting Numbers: [10, 9]
Generated Node #0,3,3: 36:[10, 9] Operation: 72/8=9
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[10, 9], Operations: ['65-57=8', '72/8=9']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 36:[8, 62], Operations: ['65-57=8', '72-10=62']
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 8*62=496, Resulting Numbers: [496]
496,36 unequal: No Solution
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 36:[10, 64], Operations: ['65-57=8', '72-8=64']
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 10*64=640, Resulting Numbers: [640]
640,36 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 36:[72, 18], Operations: ['65-57=8', '10+8=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 72*18=1296, Resulting Numbers: [1296]
1296,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 36:[65, 72, 47], Operations: ['57-10=47']
Exploring Operation: 72-47=25, Resulting Numbers: [65, 25]
Generated Node #0,2,0: 36:[65, 25] Operation: 72-47=25
Exploring Operation: 65-47=18, Resulting Numbers: [72, 18]
Generated Node #0,2,1: 36:[72, 18] Operation: 65-47=18
Exploring Operation: 65+72=137, Resulting Numbers: [47, 137]
Generated Node #0,2,2: 36:[47, 137] Operation: 65+72=137
Exploring Operation: 72-65=7, Resulting Numbers: [47, 7]
Generated Node #0,2,3: 36:[47, 7] Operation: 72-65=7
Moving to Node #0,2,3
Current State: 36:[47, 7], Operations: ['57-10=47', '72-65=7']
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,36 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[72, 18], Operations: ['57-10=47', '65-47=18']
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 72*18=1296, Resulting Numbers: [1296]
1296,36 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[65, 25], Operations: ['57-10=47', '72-47=25']
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,36 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[47, 137], Operations: ['57-10=47', '65+72=137']
Exploring Operation: 47+137=184, Resulting Numbers: [184]
184,36 unequal: No Solution
Exploring Operation: 137-47=90, Resulting Numbers: [90]
90,36 unequal: No Solution
Exploring Operation: 47*137=6439, Resulting Numbers: [6439]
6439,36 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
47,
53,
12,
23
] | 66 | [
"53-47=6",
"23-12=11",
"6*11=66"
] | Current State: 66:[47, 53, 12, 23], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [12, 23, 6]
Generated Node #2: [12, 23, 6] from Operation: 53-47=6
Current State: 66:[12, 23, 6], Operations: ['53-47=6']
Exploring Operation: 23-12=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 23-12=11
Current State: 66:[6, 11], Operations: ['53-47=6', '23-12=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[47, 53, 12, 23], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [12, 23, 6]
Generated Node #0,0: 66:[12, 23, 6] Operation: 53-47=6
Exploring Operation: 47-12=35, Resulting Numbers: [53, 23, 35]
Generated Node #0,1: 66:[53, 23, 35] Operation: 47-12=35
Moving to Node #0,0
Current State: 66:[12, 23, 6], Operations: ['53-47=6']
Exploring Operation: 23-12=11, Resulting Numbers: [6, 11]
Generated Node #0,0,0: 66:[6, 11] Operation: 23-12=11
Exploring Operation: 12-6=6, Resulting Numbers: [23, 6]
Generated Node #0,0,1: 66:[23, 6] Operation: 12-6=6
Moving to Node #0,1
Current State: 66:[53, 23, 35], Operations: ['47-12=35']
Exploring Operation: 53-23=30, Resulting Numbers: [35, 30]
Generated Node #0,1,0: 66:[35, 30] Operation: 53-23=30
Exploring Operation: 53-35=18, Resulting Numbers: [23, 18]
Generated Node #0,1,1: 66:[23, 18] Operation: 53-35=18
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[35, 30], Operations: ['47-12=35', '53-23=30']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[23, 18], Operations: ['47-12=35', '53-35=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 66:[6, 11], Operations: ['53-47=6', '23-12=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[47, 53, 12, 23], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [12, 23, 6]
Generated Node #0,0: 66:[12, 23, 6] Operation: 53-47=6
Moving to Node #0,0
Current State: 66:[12, 23, 6], Operations: ['53-47=6']
Exploring Operation: 23-12=11, Resulting Numbers: [6, 11]
Generated Node #0,0,0: 66:[6, 11] Operation: 23-12=11
Moving to Node #0,0,0
Current State: 66:[6, 11], Operations: ['53-47=6', '23-12=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
51,
86,
88,
92
] | 39 | [
"86-51=35",
"92-88=4",
"35+4=39"
] | Current State: 39:[51, 86, 88, 92], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [88, 92, 35]
Generated Node #2: [88, 92, 35] from Operation: 86-51=35
Current State: 39:[88, 92, 35], Operations: ['86-51=35']
Exploring Operation: 92-88=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 92-88=4
Current State: 39:[35, 4], Operations: ['86-51=35', '92-88=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[51, 86, 88, 92], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [51, 86, 4]
Generated Node #0,0: 39:[51, 86, 4] Operation: 92-88=4
Exploring Operation: 88-86=2, Resulting Numbers: [51, 92, 2]
Generated Node #0,1: 39:[51, 92, 2] Operation: 88-86=2
Exploring Operation: 92-51=41, Resulting Numbers: [86, 88, 41]
Generated Node #0,2: 39:[86, 88, 41] Operation: 92-51=41
Exploring Operation: 92-86=6, Resulting Numbers: [51, 88, 6]
Generated Node #0,3: 39:[51, 88, 6] Operation: 92-86=6
Moving to Node #0,0
Current State: 39:[51, 86, 4], Operations: ['92-88=4']
Exploring Operation: 51+4=55, Resulting Numbers: [86, 55]
Generated Node #0,0,0: 39:[86, 55] Operation: 51+4=55
Exploring Operation: 51-4=47, Resulting Numbers: [86, 47]
Generated Node #0,0,1: 39:[86, 47] Operation: 51-4=47
Exploring Operation: 86-4=82, Resulting Numbers: [51, 82]
Generated Node #0,0,2: 39:[51, 82] Operation: 86-4=82
Exploring Operation: 86-51=35, Resulting Numbers: [4, 35]
Generated Node #0,0,3: 39:[4, 35] Operation: 86-51=35
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 39:[4, 35], Operations: ['92-88=4', '86-51=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,39 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[51, 86, 88, 92], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [51, 86, 4]
Generated Node #0,0: 39:[51, 86, 4] Operation: 92-88=4
Moving to Node #0,0
Current State: 39:[51, 86, 4], Operations: ['92-88=4']
Exploring Operation: 86-51=35, Resulting Numbers: [4, 35]
Generated Node #0,0,3: 39:[4, 35] Operation: 86-51=35
Moving to Node #0,0,3
Current State: 39:[4, 35], Operations: ['92-88=4', '86-51=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
31,
33,
13,
23
] | 28 | [
"31+33=64",
"13+23=36",
"64-36=28"
] | Current State: 28:[31, 33, 13, 23], Operations: []
Exploring Operation: 31+33=64, Resulting Numbers: [13, 23, 64]
Generated Node #2: [13, 23, 64] from Operation: 31+33=64
Current State: 28:[13, 23, 64], Operations: ['31+33=64']
Exploring Operation: 13+23=36, Resulting Numbers: [64, 36]
Generated Node #3: [64, 36] from Operation: 13+23=36
Current State: 28:[64, 36], Operations: ['31+33=64', '13+23=36']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[31, 33, 13, 23], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [13, 23, 2]
Generated Node #0,0: 28:[13, 23, 2] Operation: 33-31=2
Moving to Node #0,0
Current State: 28:[13, 23, 2], Operations: ['33-31=2']
Exploring Operation: 23-13=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 28:[2, 10] Operation: 23-13=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[2, 10], Operations: ['33-31=2', '23-13=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
36,
28,
44,
71
] | 35 | [
"36-28=8",
"71-44=27",
"8+27=35"
] | Current State: 35:[36, 28, 44, 71], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [44, 71, 8]
Generated Node #2: [44, 71, 8] from Operation: 36-28=8
Current State: 35:[44, 71, 8], Operations: ['36-28=8']
Exploring Operation: 71-44=27, Resulting Numbers: [8, 27]
Generated Node #3: [8, 27] from Operation: 71-44=27
Current State: 35:[8, 27], Operations: ['36-28=8', '71-44=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[36, 28, 44, 71], Operations: []
Exploring Operation: 71-44=27, Resulting Numbers: [36, 28, 27]
Generated Node #0,0: 35:[36, 28, 27] Operation: 71-44=27
Exploring Operation: 71-36=35, Resulting Numbers: [28, 44, 35]
Generated Node #0,1: 35:[28, 44, 35] Operation: 71-36=35
Exploring Operation: 44-36=8, Resulting Numbers: [28, 71, 8]
Generated Node #0,2: 35:[28, 71, 8] Operation: 44-36=8
Exploring Operation: 71-28=43, Resulting Numbers: [36, 44, 43]
Generated Node #0,3: 35:[36, 44, 43] Operation: 71-28=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[36, 28, 27], Operations: ['71-44=27']
Exploring Operation: 36-28=8, Resulting Numbers: [27, 8]
Generated Node #0,0,0: 35:[27, 8] Operation: 36-28=8
Exploring Operation: 28-27=1, Resulting Numbers: [36, 1]
Generated Node #0,0,1: 35:[36, 1] Operation: 28-27=1
Exploring Operation: 36-27=9, Resulting Numbers: [28, 9]
Generated Node #0,0,2: 35:[28, 9] Operation: 36-27=9
Exploring Operation: 28+27=55, Resulting Numbers: [36, 55]
Generated Node #0,0,3: 35:[36, 55] Operation: 28+27=55
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[36, 1], Operations: ['71-44=27', '28-27=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[36, 28, 44, 71], Operations: []
Exploring Operation: 71-44=27, Resulting Numbers: [36, 28, 27]
Generated Node #0,0: 35:[36, 28, 27] Operation: 71-44=27
Moving to Node #0,0
Current State: 35:[36, 28, 27], Operations: ['71-44=27']
Exploring Operation: 28-27=1, Resulting Numbers: [36, 1]
Generated Node #0,0,1: 35:[36, 1] Operation: 28-27=1
Moving to Node #0,0,1
Current State: 35:[36, 1], Operations: ['71-44=27', '28-27=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
14,
38,
30,
58
] | 64 | [
"38-14=24",
"30+58=88",
"88-24=64"
] | Current State: 64:[14, 38, 30, 58], Operations: []
Exploring Operation: 38-14=24, Resulting Numbers: [30, 58, 24]
Generated Node #2: [30, 58, 24] from Operation: 38-14=24
Current State: 64:[30, 58, 24], Operations: ['38-14=24']
Exploring Operation: 30+58=88, Resulting Numbers: [24, 88]
Generated Node #3: [24, 88] from Operation: 30+58=88
Current State: 64:[24, 88], Operations: ['38-14=24', '30+58=88']
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[14, 38, 30, 58], Operations: []
Exploring Operation: 58-38=20, Resulting Numbers: [14, 30, 20]
Generated Node #0,0: 64:[14, 30, 20] Operation: 58-38=20
Exploring Operation: 38-30=8, Resulting Numbers: [14, 58, 8]
Generated Node #0,1: 64:[14, 58, 8] Operation: 38-30=8
Moving to Node #0,0
Current State: 64:[14, 30, 20], Operations: ['58-38=20']
Exploring Operation: 30-14=16, Resulting Numbers: [20, 16]
Generated Node #0,0,0: 64:[20, 16] Operation: 30-14=16
Exploring Operation: 14+20=34, Resulting Numbers: [30, 34]
Generated Node #0,0,1: 64:[30, 34] Operation: 14+20=34
Moving to Node #0,1
Current State: 64:[14, 58, 8], Operations: ['38-30=8']
Exploring Operation: 58+8=66, Resulting Numbers: [14, 66]
Generated Node #0,1,0: 64:[14, 66] Operation: 58+8=66
Exploring Operation: 14+58=72, Resulting Numbers: [8, 72]
Generated Node #0,1,1: 64:[8, 72] Operation: 14+58=72
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[14, 66], Operations: ['38-30=8', '58+8=66']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 14+66=80, Resulting Numbers: [80]
80,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[8, 72], Operations: ['38-30=8', '14+58=72']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[14, 38, 30, 58], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [14, 58, 8]
Generated Node #0,1: 64:[14, 58, 8] Operation: 38-30=8
Moving to Node #0,1
Current State: 64:[14, 58, 8], Operations: ['38-30=8']
Exploring Operation: 14+58=72, Resulting Numbers: [8, 72]
Generated Node #0,1,1: 64:[8, 72] Operation: 14+58=72
Moving to Node #0,1,1
Current State: 64:[8, 72], Operations: ['38-30=8', '14+58=72']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | sum_heuristic |
[
25,
10,
15,
70
] | 47 | [
"25+15=40",
"70/10=7",
"40+7=47"
] | Current State: 47:[25, 10, 15, 70], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [10, 70, 40]
Generated Node #2: [10, 70, 40] from Operation: 25+15=40
Current State: 47:[10, 70, 40], Operations: ['25+15=40']
Exploring Operation: 70/10=7, Resulting Numbers: [40, 7]
Generated Node #3: [40, 7] from Operation: 70/10=7
Current State: 47:[40, 7], Operations: ['25+15=40', '70/10=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[25, 10, 15, 70], Operations: []
Exploring Operation: 25+10=35, Resulting Numbers: [15, 70, 35]
Generated Node #0,0: 47:[15, 70, 35] Operation: 25+10=35
Exploring Operation: 25+15=40, Resulting Numbers: [10, 70, 40]
Generated Node #0,1: 47:[10, 70, 40] Operation: 25+15=40
Exploring Operation: 70-15=55, Resulting Numbers: [25, 10, 55]
Generated Node #0,2: 47:[25, 10, 55] Operation: 70-15=55
Exploring Operation: 70-10=60, Resulting Numbers: [25, 15, 60]
Generated Node #0,3: 47:[25, 15, 60] Operation: 70-10=60
Exploring Operation: 10+15=25, Resulting Numbers: [25, 70, 25]
Generated Node #0,4: 47:[25, 70, 25] Operation: 10+15=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[15, 70, 35], Operations: ['25+10=35']
Exploring Operation: 15+70=85, Resulting Numbers: [35, 85]
Generated Node #0,0,0: 47:[35, 85] Operation: 15+70=85
Exploring Operation: 35-15=20, Resulting Numbers: [70, 20]
Generated Node #0,0,1: 47:[70, 20] Operation: 35-15=20
Exploring Operation: 15+35=50, Resulting Numbers: [70, 50]
Generated Node #0,0,2: 47:[70, 50] Operation: 15+35=50
Exploring Operation: 70-15=55, Resulting Numbers: [35, 55]
Generated Node #0,0,3: 47:[35, 55] Operation: 70-15=55
Exploring Operation: 70-35=35, Resulting Numbers: [15, 35]
Generated Node #0,0,4: 47:[15, 35] Operation: 70-35=35
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[35, 55], Operations: ['25+10=35', '70-15=55']
Exploring Operation: 35*55=1925, Resulting Numbers: [1925]
1925,47 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 35+55=90, Resulting Numbers: [90]
90,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[70, 50], Operations: ['25+10=35', '15+35=50']
Exploring Operation: 70*50=3500, Resulting Numbers: [3500]
3500,47 unequal: No Solution
Exploring Operation: 70+50=120, Resulting Numbers: [120]
120,47 unequal: No Solution
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 47:[15, 35], Operations: ['25+10=35', '70-35=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 15*35=525, Resulting Numbers: [525]
525,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[35, 85], Operations: ['25+10=35', '15+70=85']
Exploring Operation: 35+85=120, Resulting Numbers: [120]
120,47 unequal: No Solution
Exploring Operation: 35*85=2975, Resulting Numbers: [2975]
2975,47 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[70, 20], Operations: ['25+10=35', '35-15=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,47 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[10, 70, 40], Operations: ['25+15=40']
Exploring Operation: 10+70=80, Resulting Numbers: [40, 80]
Generated Node #0,1,0: 47:[40, 80] Operation: 10+70=80
Exploring Operation: 70-10=60, Resulting Numbers: [40, 60]
Generated Node #0,1,1: 47:[40, 60] Operation: 70-10=60
Exploring Operation: 40-10=30, Resulting Numbers: [70, 30]
Generated Node #0,1,2: 47:[70, 30] Operation: 40-10=30
Exploring Operation: 70/10=7, Resulting Numbers: [40, 7]
Generated Node #0,1,3: 47:[40, 7] Operation: 70/10=7
Exploring Operation: 10+40=50, Resulting Numbers: [70, 50]
Generated Node #0,1,4: 47:[70, 50] Operation: 10+40=50
Moving to Node #0,1,1
Current State: 47:[40, 60], Operations: ['25+15=40', '70-10=60']
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[70, 50], Operations: ['25+15=40', '10+40=50']
Exploring Operation: 70*50=3500, Resulting Numbers: [3500]
3500,47 unequal: No Solution
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 70+50=120, Resulting Numbers: [120]
120,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[40, 80], Operations: ['25+15=40', '10+70=80']
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 40+80=120, Resulting Numbers: [120]
120,47 unequal: No Solution
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 40*80=3200, Resulting Numbers: [3200]
3200,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[70, 30], Operations: ['25+15=40', '40-10=30']
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,47 unequal: No Solution
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,47 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[40, 7], Operations: ['25+15=40', '70/10=7']
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,47 unequal: No Solution
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[25, 10, 15, 70], Operations: []
Exploring Operation: 25+15=40, Resulting Numbers: [10, 70, 40]
Generated Node #0,1: 47:[10, 70, 40] Operation: 25+15=40
Moving to Node #0,1
Current State: 47:[10, 70, 40], Operations: ['25+15=40']
Exploring Operation: 70/10=7, Resulting Numbers: [40, 7]
Generated Node #0,1,3: 47:[40, 7] Operation: 70/10=7
Moving to Node #0,1,3
Current State: 47:[40, 7], Operations: ['25+15=40', '70/10=7']
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_5 | mult_heuristic |
[
47,
66,
38,
74
] | 93 | [
"66-47=19",
"38+74=112",
"112-19=93"
] | Current State: 93:[47, 66, 38, 74], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [38, 74, 19]
Generated Node #2: [38, 74, 19] from Operation: 66-47=19
Current State: 93:[38, 74, 19], Operations: ['66-47=19']
Exploring Operation: 38+74=112, Resulting Numbers: [19, 112]
Generated Node #3: [19, 112] from Operation: 38+74=112
Current State: 93:[19, 112], Operations: ['66-47=19', '38+74=112']
Exploring Operation: 112-19=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[47, 66, 38, 74], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [38, 74, 19]
Generated Node #0,0: 93:[38, 74, 19] Operation: 66-47=19
Exploring Operation: 74-47=27, Resulting Numbers: [66, 38, 27]
Generated Node #0,1: 93:[66, 38, 27] Operation: 74-47=27
Exploring Operation: 74-66=8, Resulting Numbers: [47, 38, 8]
Generated Node #0,2: 93:[47, 38, 8] Operation: 74-66=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[47, 38, 8], Operations: ['74-66=8']
Exploring Operation: 47+38=85, Resulting Numbers: [8, 85]
Generated Node #0,2,0: 93:[8, 85] Operation: 47+38=85
Exploring Operation: 47-8=39, Resulting Numbers: [38, 39]
Generated Node #0,2,1: 93:[38, 39] Operation: 47-8=39
Exploring Operation: 47-38=9, Resulting Numbers: [8, 9]
Generated Node #0,2,2: 93:[8, 9] Operation: 47-38=9
Moving to Node #0,2,2
Current State: 93:[8, 9], Operations: ['74-66=8', '47-38=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,93 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[8, 85], Operations: ['74-66=8', '47+38=85']
Exploring Operation: 8*85=680, Resulting Numbers: [680]
680,93 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,93 unequal: No Solution
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[47, 66, 38, 74], Operations: []
Exploring Operation: 74-66=8, Resulting Numbers: [47, 38, 8]
Generated Node #0,2: 93:[47, 38, 8] Operation: 74-66=8
Moving to Node #0,2
Current State: 93:[47, 38, 8], Operations: ['74-66=8']
Exploring Operation: 47+38=85, Resulting Numbers: [8, 85]
Generated Node #0,2,0: 93:[8, 85] Operation: 47+38=85
Moving to Node #0,2,0
Current State: 93:[8, 85], Operations: ['74-66=8', '47+38=85']
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
18,
73,
99,
9
] | 47 | [
"18*73=1314",
"1314/9=146",
"146-99=47"
] | Current State: 47:[18, 73, 99, 9], Operations: []
Exploring Operation: 18*73=1314, Resulting Numbers: [99, 9, 1314]
Generated Node #2: [99, 9, 1314] from Operation: 18*73=1314
Current State: 47:[99, 9, 1314], Operations: ['18*73=1314']
Exploring Operation: 1314/9=146, Resulting Numbers: [99, 146]
Generated Node #3: [99, 146] from Operation: 1314/9=146
Current State: 47:[99, 146], Operations: ['18*73=1314', '1314/9=146']
Exploring Operation: 146-99=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[18, 73, 99, 9], Operations: []
Exploring Operation: 73-18=55, Resulting Numbers: [99, 9, 55]
Generated Node #0,0: 47:[99, 9, 55] Operation: 73-18=55
Exploring Operation: 99/9=11, Resulting Numbers: [18, 73, 11]
Generated Node #0,1: 47:[18, 73, 11] Operation: 99/9=11
Exploring Operation: 99-73=26, Resulting Numbers: [18, 9, 26]
Generated Node #0,2: 47:[18, 9, 26] Operation: 99-73=26
Exploring Operation: 99-18=81, Resulting Numbers: [73, 9, 81]
Generated Node #0,3: 47:[73, 9, 81] Operation: 99-18=81
Exploring Operation: 18+9=27, Resulting Numbers: [73, 99, 27]
Generated Node #0,4: 47:[73, 99, 27] Operation: 18+9=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[18, 9, 26], Operations: ['99-73=26']
Exploring Operation: 26-9=17, Resulting Numbers: [18, 17]
Generated Node #0,2,0: 47:[18, 17] Operation: 26-9=17
Exploring Operation: 18+26=44, Resulting Numbers: [9, 44]
Generated Node #0,2,1: 47:[9, 44] Operation: 18+26=44
Exploring Operation: 9+26=35, Resulting Numbers: [18, 35]
Generated Node #0,2,2: 47:[18, 35] Operation: 9+26=35
Exploring Operation: 18-9=9, Resulting Numbers: [26, 9]
Generated Node #0,2,3: 47:[26, 9] Operation: 18-9=9
Exploring Operation: 18+9=27, Resulting Numbers: [26, 27]
Generated Node #0,2,4: 47:[26, 27] Operation: 18+9=27
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[9, 44], Operations: ['99-73=26', '18+26=44']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,47 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[18, 35], Operations: ['99-73=26', '9+26=35']
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,47 unequal: No Solution
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 47:[26, 27], Operations: ['99-73=26', '18+9=27']
Exploring Operation: 26+27=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 26*27=702, Resulting Numbers: [702]
702,47 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[18, 17], Operations: ['99-73=26', '26-9=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[26, 9], Operations: ['99-73=26', '18-9=9']
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,47 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[18, 73, 11], Operations: ['99/9=11']
Exploring Operation: 18-11=7, Resulting Numbers: [73, 7]
Generated Node #0,1,0: 47:[73, 7] Operation: 18-11=7
Exploring Operation: 73+11=84, Resulting Numbers: [18, 84]
Generated Node #0,1,1: 47:[18, 84] Operation: 73+11=84
Exploring Operation: 73-11=62, Resulting Numbers: [18, 62]
Generated Node #0,1,2: 47:[18, 62] Operation: 73-11=62
Exploring Operation: 73-18=55, Resulting Numbers: [11, 55]
Generated Node #0,1,3: 47:[11, 55] Operation: 73-18=55
Exploring Operation: 18+11=29, Resulting Numbers: [73, 29]
Generated Node #0,1,4: 47:[73, 29] Operation: 18+11=29
Moving to Node #0,1,2
Current State: 47:[18, 62], Operations: ['99/9=11', '73-11=62']
Exploring Operation: 18+62=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 18*62=1116, Resulting Numbers: [1116]
1116,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[73, 29], Operations: ['99/9=11', '18+11=29']
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 73*29=2117, Resulting Numbers: [2117]
2117,47 unequal: No Solution
Exploring Operation: 73+29=102, Resulting Numbers: [102]
102,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[11, 55], Operations: ['99/9=11', '73-18=55']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,47 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[73, 7], Operations: ['99/9=11', '18-11=7']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[18, 84], Operations: ['99/9=11', '73+11=84']
Exploring Operation: 18*84=1512, Resulting Numbers: [1512]
1512,47 unequal: No Solution
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Exploring Operation: 18+84=102, Resulting Numbers: [102]
102,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[99, 9, 55], Operations: ['73-18=55']
Exploring Operation: 99-55=44, Resulting Numbers: [9, 44]
Generated Node #0,0,0: 47:[9, 44] Operation: 99-55=44
Exploring Operation: 99+9=108, Resulting Numbers: [55, 108]
Generated Node #0,0,1: 47:[55, 108] Operation: 99+9=108
Exploring Operation: 55-9=46, Resulting Numbers: [99, 46]
Generated Node #0,0,2: 47:[99, 46] Operation: 55-9=46
Exploring Operation: 99/9=11, Resulting Numbers: [55, 11]
Generated Node #0,0,3: 47:[55, 11] Operation: 99/9=11
Exploring Operation: 99-9=90, Resulting Numbers: [55, 90]
Generated Node #0,0,4: 47:[55, 90] Operation: 99-9=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[9, 44], Operations: ['73-18=55', '99-55=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[55, 11], Operations: ['73-18=55', '99/9=11']
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,47 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 55*11=605, Resulting Numbers: [605]
605,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 47:[55, 90], Operations: ['73-18=55', '99-9=90']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,47 unequal: No Solution
Exploring Operation: 55*90=4950, Resulting Numbers: [4950]
4950,47 unequal: No Solution
Exploring Operation: 55+90=145, Resulting Numbers: [145]
145,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[99, 46], Operations: ['73-18=55', '55-9=46']
Exploring Operation: 99+46=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 99*46=4554, Resulting Numbers: [4554]
4554,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[55, 108], Operations: ['73-18=55', '99+9=108']
Exploring Operation: 55*108=5940, Resulting Numbers: [5940]
5940,47 unequal: No Solution
Exploring Operation: 108-55=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 55+108=163, Resulting Numbers: [163]
163,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[73, 9, 81], Operations: ['99-18=81']
Exploring Operation: 73-9=64, Resulting Numbers: [81, 64]
Generated Node #0,3,0: 47:[81, 64] Operation: 73-9=64
Exploring Operation: 9+81=90, Resulting Numbers: [73, 90]
Generated Node #0,3,1: 47:[73, 90] Operation: 9+81=90
Exploring Operation: 81-9=72, Resulting Numbers: [73, 72]
Generated Node #0,3,2: 47:[73, 72] Operation: 81-9=72
Exploring Operation: 81/9=9, Resulting Numbers: [73, 9]
Generated Node #0,3,3: 47:[73, 9] Operation: 81/9=9
Exploring Operation: 73+9=82, Resulting Numbers: [81, 82]
Generated Node #0,3,4: 47:[81, 82] Operation: 73+9=82
Moving to Node #0,3,0
Current State: 47:[81, 64], Operations: ['99-18=81', '73-9=64']
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 81+64=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 81*64=5184, Resulting Numbers: [5184]
5184,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[73, 72], Operations: ['99-18=81', '81-9=72']
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[73, 9], Operations: ['99-18=81', '81/9=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[73, 90], Operations: ['99-18=81', '9+81=90']
Exploring Operation: 73*90=6570, Resulting Numbers: [6570]
6570,47 unequal: No Solution
Exploring Operation: 73+90=163, Resulting Numbers: [163]
163,47 unequal: No Solution
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Moving to Node #0,3,4
Current State: 47:[81, 82], Operations: ['99-18=81', '73+9=82']
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,47 unequal: No Solution
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,47 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 47:[73, 99, 27], Operations: ['18+9=27']
Exploring Operation: 99+27=126, Resulting Numbers: [73, 126]
Generated Node #0,4,0: 47:[73, 126] Operation: 99+27=126
Exploring Operation: 73-27=46, Resulting Numbers: [99, 46]
Generated Node #0,4,1: 47:[99, 46] Operation: 73-27=46
Exploring Operation: 73+27=100, Resulting Numbers: [99, 100]
Generated Node #0,4,2: 47:[99, 100] Operation: 73+27=100
Exploring Operation: 99-73=26, Resulting Numbers: [27, 26]
Generated Node #0,4,3: 47:[27, 26] Operation: 99-73=26
Exploring Operation: 99-27=72, Resulting Numbers: [73, 72]
Generated Node #0,4,4: 47:[73, 72] Operation: 99-27=72
Moving to Node #0,4,3
Current State: 47:[27, 26], Operations: ['18+9=27', '99-73=26']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[73, 72], Operations: ['18+9=27', '99-27=72']
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,47 unequal: No Solution
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Moving to Node #0,4,1
Current State: 47:[99, 46], Operations: ['18+9=27', '73-27=46']
Exploring Operation: 99-46=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 99+46=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 99*46=4554, Resulting Numbers: [4554]
4554,47 unequal: No Solution
Moving to Node #0,4,0
Current State: 47:[73, 126], Operations: ['18+9=27', '99+27=126']
Exploring Operation: 73*126=9198, Resulting Numbers: [9198]
9198,47 unequal: No Solution
Exploring Operation: 73+126=199, Resulting Numbers: [199]
199,47 unequal: No Solution
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[99, 100], Operations: ['18+9=27', '73+27=100']
Exploring Operation: 100-99=1, Resulting Numbers: [1]
1,47 unequal: No Solution
Exploring Operation: 99+100=199, Resulting Numbers: [199]
199,47 unequal: No Solution
Exploring Operation: 99*100=9900, Resulting Numbers: [9900]
9900,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
67,
22,
15,
21
] | 53 | [
"67+22=89",
"15+21=36",
"89-36=53"
] | Current State: 53:[67, 22, 15, 21], Operations: []
Exploring Operation: 67+22=89, Resulting Numbers: [15, 21, 89]
Generated Node #2: [15, 21, 89] from Operation: 67+22=89
Current State: 53:[15, 21, 89], Operations: ['67+22=89']
Exploring Operation: 15+21=36, Resulting Numbers: [89, 36]
Generated Node #3: [89, 36] from Operation: 15+21=36
Current State: 53:[89, 36], Operations: ['67+22=89', '15+21=36']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[67, 22, 15, 21], Operations: []
Exploring Operation: 22+21=43, Resulting Numbers: [67, 15, 43]
Generated Node #0,0: 53:[67, 15, 43] Operation: 22+21=43
Exploring Operation: 15+21=36, Resulting Numbers: [67, 22, 36]
Generated Node #0,1: 53:[67, 22, 36] Operation: 15+21=36
Exploring Operation: 22+15=37, Resulting Numbers: [67, 21, 37]
Generated Node #0,2: 53:[67, 21, 37] Operation: 22+15=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[67, 15, 43], Operations: ['22+21=43']
Exploring Operation: 67+15=82, Resulting Numbers: [43, 82]
Generated Node #0,0,0: 53:[43, 82] Operation: 67+15=82
Exploring Operation: 15+43=58, Resulting Numbers: [67, 58]
Generated Node #0,0,1: 53:[67, 58] Operation: 15+43=58
Exploring Operation: 67-15=52, Resulting Numbers: [43, 52]
Generated Node #0,0,2: 53:[43, 52] Operation: 67-15=52
Moving to Node #0,0,2
Current State: 53:[43, 52], Operations: ['22+21=43', '67-15=52']
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,53 unequal: No Solution
Exploring Operation: 43*52=2236, Resulting Numbers: [2236]
2236,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[67, 58], Operations: ['22+21=43', '15+43=58']
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[43, 82], Operations: ['22+21=43', '67+15=82']
Exploring Operation: 43+82=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 43*82=3526, Resulting Numbers: [3526]
3526,53 unequal: No Solution
Exploring Operation: 82-43=39, Resulting Numbers: [39]
39,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[67, 22, 36], Operations: ['15+21=36']
Exploring Operation: 67+22=89, Resulting Numbers: [36, 89]
Generated Node #0,1,0: 53:[36, 89] Operation: 67+22=89
Exploring Operation: 22+36=58, Resulting Numbers: [67, 58]
Generated Node #0,1,1: 53:[67, 58] Operation: 22+36=58
Exploring Operation: 67-22=45, Resulting Numbers: [36, 45]
Generated Node #0,1,2: 53:[36, 45] Operation: 67-22=45
Moving to Node #0,1,1
Current State: 53:[67, 58], Operations: ['15+21=36', '22+36=58']
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[36, 45], Operations: ['15+21=36', '67-22=45']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 36*45=1620, Resulting Numbers: [1620]
1620,53 unequal: No Solution
Exploring Operation: 36+45=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[36, 89], Operations: ['15+21=36', '67+22=89']
Exploring Operation: 36+89=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[67, 22, 15, 21], Operations: []
Exploring Operation: 15+21=36, Resulting Numbers: [67, 22, 36]
Generated Node #0,1: 53:[67, 22, 36] Operation: 15+21=36
Moving to Node #0,1
Current State: 53:[67, 22, 36], Operations: ['15+21=36']
Exploring Operation: 67+22=89, Resulting Numbers: [36, 89]
Generated Node #0,1,0: 53:[36, 89] Operation: 67+22=89
Moving to Node #0,1,0
Current State: 53:[36, 89], Operations: ['15+21=36', '67+22=89']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_3 | sum_heuristic |
[
13,
20,
3,
99
] | 66 | [
"13+20=33",
"99/3=33",
"33+33=66"
] | Current State: 66:[13, 20, 3, 99], Operations: []
Exploring Operation: 13+20=33, Resulting Numbers: [3, 99, 33]
Generated Node #2: [3, 99, 33] from Operation: 13+20=33
Current State: 66:[3, 99, 33], Operations: ['13+20=33']
Exploring Operation: 99/3=33, Resulting Numbers: [33, 33]
Generated Node #3: [33, 33] from Operation: 99/3=33
Current State: 66:[33, 33], Operations: ['13+20=33', '99/3=33']
Exploring Operation: 33+33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[13, 20, 3, 99], Operations: []
Exploring Operation: 99-13=86, Resulting Numbers: [20, 3, 86]
Generated Node #0,0: 66:[20, 3, 86] Operation: 99-13=86
Exploring Operation: 99/3=33, Resulting Numbers: [13, 20, 33]
Generated Node #0,1: 66:[13, 20, 33] Operation: 99/3=33
Exploring Operation: 20-13=7, Resulting Numbers: [3, 99, 7]
Generated Node #0,2: 66:[3, 99, 7] Operation: 20-13=7
Exploring Operation: 99-20=79, Resulting Numbers: [13, 3, 79]
Generated Node #0,3: 66:[13, 3, 79] Operation: 99-20=79
Exploring Operation: 13+20=33, Resulting Numbers: [3, 99, 33]
Generated Node #0,4: 66:[3, 99, 33] Operation: 13+20=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[13, 20, 33], Operations: ['99/3=33']
Exploring Operation: 13+33=46, Resulting Numbers: [20, 46]
Generated Node #0,1,0: 66:[20, 46] Operation: 13+33=46
Exploring Operation: 20-13=7, Resulting Numbers: [33, 7]
Generated Node #0,1,1: 66:[33, 7] Operation: 20-13=7
Exploring Operation: 13+20=33, Resulting Numbers: [33, 33]
Generated Node #0,1,2: 66:[33, 33] Operation: 13+20=33
Exploring Operation: 33-20=13, Resulting Numbers: [13, 13]
Generated Node #0,1,3: 66:[13, 13] Operation: 33-20=13
Exploring Operation: 33-13=20, Resulting Numbers: [20, 20]
Generated Node #0,1,4: 66:[20, 20] Operation: 33-13=20
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 66:[33, 33], Operations: ['99/3=33', '13+20=33']
Exploring Operation: 33-33=0, Resulting Numbers: [0]
0,66 unequal: No Solution
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 33*33=1089, Resulting Numbers: [1089]
1089,66 unequal: No Solution
Exploring Operation: 33+33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[13, 20, 3, 99], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [13, 20, 33]
Generated Node #0,1: 66:[13, 20, 33] Operation: 99/3=33
Moving to Node #0,1
Current State: 66:[13, 20, 33], Operations: ['99/3=33']
Exploring Operation: 13+20=33, Resulting Numbers: [33, 33]
Generated Node #0,1,2: 66:[33, 33] Operation: 13+20=33
Moving to Node #0,1,2
Current State: 66:[33, 33], Operations: ['99/3=33', '13+20=33']
Exploring Operation: 33+33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
78,
23,
10,
27
] | 83 | [
"23+27=50",
"50/10=5",
"78+5=83"
] | Current State: 83:[78, 23, 10, 27], Operations: []
Exploring Operation: 23+27=50, Resulting Numbers: [78, 10, 50]
Generated Node #2: [78, 10, 50] from Operation: 23+27=50
Current State: 83:[78, 10, 50], Operations: ['23+27=50']
Exploring Operation: 50/10=5, Resulting Numbers: [78, 5]
Generated Node #3: [78, 5] from Operation: 50/10=5
Current State: 83:[78, 5], Operations: ['23+27=50', '50/10=5']
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[78, 23, 10, 27], Operations: []
Exploring Operation: 23+27=50, Resulting Numbers: [78, 10, 50]
Generated Node #0,0: 83:[78, 10, 50] Operation: 23+27=50
Exploring Operation: 23+10=33, Resulting Numbers: [78, 27, 33]
Generated Node #0,1: 83:[78, 27, 33] Operation: 23+10=33
Exploring Operation: 10+27=37, Resulting Numbers: [78, 23, 37]
Generated Node #0,2: 83:[78, 23, 37] Operation: 10+27=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[78, 10, 50], Operations: ['23+27=50']
Exploring Operation: 10+50=60, Resulting Numbers: [78, 60]
Generated Node #0,0,0: 83:[78, 60] Operation: 10+50=60
Exploring Operation: 78-10=68, Resulting Numbers: [50, 68]
Generated Node #0,0,1: 83:[50, 68] Operation: 78-10=68
Exploring Operation: 78+10=88, Resulting Numbers: [50, 88]
Generated Node #0,0,2: 83:[50, 88] Operation: 78+10=88
Moving to Node #0,0,0
Current State: 83:[78, 60], Operations: ['23+27=50', '10+50=60']
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[50, 88], Operations: ['23+27=50', '78+10=88']
Exploring Operation: 50*88=4400, Resulting Numbers: [4400]
4400,83 unequal: No Solution
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[50, 68], Operations: ['23+27=50', '78-10=68']
Exploring Operation: 50+68=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 50*68=3400, Resulting Numbers: [3400]
3400,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[78, 27, 33], Operations: ['23+10=33']
Exploring Operation: 27+33=60, Resulting Numbers: [78, 60]
Generated Node #0,1,0: 83:[78, 60] Operation: 27+33=60
Exploring Operation: 78+27=105, Resulting Numbers: [33, 105]
Generated Node #0,1,1: 83:[33, 105] Operation: 78+27=105
Exploring Operation: 78-27=51, Resulting Numbers: [33, 51]
Generated Node #0,1,2: 83:[33, 51] Operation: 78-27=51
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[78, 60], Operations: ['23+10=33', '27+33=60']
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[33, 105], Operations: ['23+10=33', '78+27=105']
Exploring Operation: 33*105=3465, Resulting Numbers: [3465]
3465,83 unequal: No Solution
Exploring Operation: 105-33=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 33+105=138, Resulting Numbers: [138]
138,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[33, 51], Operations: ['23+10=33', '78-27=51']
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,83 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[78, 23, 37], Operations: ['10+27=37']
Exploring Operation: 78+23=101, Resulting Numbers: [37, 101]
Generated Node #0,2,0: 83:[37, 101] Operation: 78+23=101
Exploring Operation: 78-23=55, Resulting Numbers: [37, 55]
Generated Node #0,2,1: 83:[37, 55] Operation: 78-23=55
Exploring Operation: 23+37=60, Resulting Numbers: [78, 60]
Generated Node #0,2,2: 83:[78, 60] Operation: 23+37=60
Moving to Node #0,2,2
Current State: 83:[78, 60], Operations: ['10+27=37', '23+37=60']
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[37, 101], Operations: ['10+27=37', '78+23=101']
Exploring Operation: 37*101=3737, Resulting Numbers: [3737]
3737,83 unequal: No Solution
Exploring Operation: 37+101=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 101-37=64, Resulting Numbers: [64]
64,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[37, 55], Operations: ['10+27=37', '78-23=55']
Exploring Operation: 37+55=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 55-37=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 37*55=2035, Resulting Numbers: [2035]
2035,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
99,
1,
43,
33
] | 41 | [
"99/33=3",
"1+43=44",
"44-3=41"
] | Current State: 41:[99, 1, 43, 33], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [1, 43, 3]
Generated Node #2: [1, 43, 3] from Operation: 99/33=3
Current State: 41:[1, 43, 3], Operations: ['99/33=3']
Exploring Operation: 1+43=44, Resulting Numbers: [3, 44]
Generated Node #3: [3, 44] from Operation: 1+43=44
Current State: 41:[3, 44], Operations: ['99/33=3', '1+43=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[99, 1, 43, 33], Operations: []
Exploring Operation: 99-43=56, Resulting Numbers: [1, 33, 56]
Generated Node #0,0: 41:[1, 33, 56] Operation: 99-43=56
Exploring Operation: 99-1=98, Resulting Numbers: [43, 33, 98]
Generated Node #0,1: 41:[43, 33, 98] Operation: 99-1=98
Moving to Node #0,0
Current State: 41:[1, 33, 56], Operations: ['99-43=56']
Exploring Operation: 1+33=34, Resulting Numbers: [56, 34]
Generated Node #0,0,0: 41:[56, 34] Operation: 1+33=34
Exploring Operation: 56-1=55, Resulting Numbers: [33, 55]
Generated Node #0,0,1: 41:[33, 55] Operation: 56-1=55
Moving to Node #0,1
Current State: 41:[43, 33, 98], Operations: ['99-1=98']
Exploring Operation: 98-43=55, Resulting Numbers: [33, 55]
Generated Node #0,1,0: 41:[33, 55] Operation: 98-43=55
Exploring Operation: 98-33=65, Resulting Numbers: [43, 65]
Generated Node #0,1,1: 41:[43, 65] Operation: 98-33=65
Moving to Node #0,0,0
Current State: 41:[56, 34], Operations: ['99-43=56', '1+33=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,41 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[33, 55], Operations: ['99-1=98', '98-43=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[33, 55], Operations: ['99-43=56', '56-1=55']
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,41 unequal: No Solution
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[43, 65], Operations: ['99-1=98', '98-33=65']
Exploring Operation: 43+65=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,41 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
52,
6,
55,
89
] | 28 | [
"55+89=144",
"144/6=24",
"52-24=28"
] | Current State: 28:[52, 6, 55, 89], Operations: []
Exploring Operation: 55+89=144, Resulting Numbers: [52, 6, 144]
Generated Node #2: [52, 6, 144] from Operation: 55+89=144
Current State: 28:[52, 6, 144], Operations: ['55+89=144']
Exploring Operation: 144/6=24, Resulting Numbers: [52, 24]
Generated Node #3: [52, 24] from Operation: 144/6=24
Current State: 28:[52, 24], Operations: ['55+89=144', '144/6=24']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[52, 6, 55, 89], Operations: []
Exploring Operation: 89-55=34, Resulting Numbers: [52, 6, 34]
Generated Node #0,0: 28:[52, 6, 34] Operation: 89-55=34
Exploring Operation: 89-52=37, Resulting Numbers: [6, 55, 37]
Generated Node #0,1: 28:[6, 55, 37] Operation: 89-52=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[52, 6, 34], Operations: ['89-55=34']
Exploring Operation: 52-34=18, Resulting Numbers: [6, 18]
Generated Node #0,0,0: 28:[6, 18] Operation: 52-34=18
Exploring Operation: 52-6=46, Resulting Numbers: [34, 46]
Generated Node #0,0,1: 28:[34, 46] Operation: 52-6=46
Moving to Node #0,0,0
Current State: 28:[6, 18], Operations: ['89-55=34', '52-34=18']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[34, 46], Operations: ['89-55=34', '52-6=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,28 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[6, 55, 37], Operations: ['89-52=37']
Exploring Operation: 55-6=49, Resulting Numbers: [37, 49]
Generated Node #0,1,0: 28:[37, 49] Operation: 55-6=49
Exploring Operation: 55-37=18, Resulting Numbers: [6, 18]
Generated Node #0,1,1: 28:[6, 18] Operation: 55-37=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[6, 18], Operations: ['89-52=37', '55-37=18']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[37, 49], Operations: ['89-52=37', '55-6=49']
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
45,
35,
32,
23
] | 71 | [
"45+35=80",
"32-23=9",
"80-9=71"
] | Current State: 71:[45, 35, 32, 23], Operations: []
Exploring Operation: 45+35=80, Resulting Numbers: [32, 23, 80]
Generated Node #2: [32, 23, 80] from Operation: 45+35=80
Current State: 71:[32, 23, 80], Operations: ['45+35=80']
Exploring Operation: 32-23=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 32-23=9
Current State: 71:[80, 9], Operations: ['45+35=80', '32-23=9']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[45, 35, 32, 23], Operations: []
Exploring Operation: 35+32=67, Resulting Numbers: [45, 23, 67]
Generated Node #0,0: 71:[45, 23, 67] Operation: 35+32=67
Exploring Operation: 45+23=68, Resulting Numbers: [35, 32, 68]
Generated Node #0,1: 71:[35, 32, 68] Operation: 45+23=68
Exploring Operation: 35+23=58, Resulting Numbers: [45, 32, 58]
Generated Node #0,2: 71:[45, 32, 58] Operation: 35+23=58
Exploring Operation: 32+23=55, Resulting Numbers: [45, 35, 55]
Generated Node #0,3: 71:[45, 35, 55] Operation: 32+23=55
Exploring Operation: 45+32=77, Resulting Numbers: [35, 23, 77]
Generated Node #0,4: 71:[35, 23, 77] Operation: 45+32=77
Moving to Node #0,0
Current State: 71:[45, 23, 67], Operations: ['35+32=67']
Exploring Operation: 45+67=112, Resulting Numbers: [23, 112]
Generated Node #0,0,0: 71:[23, 112] Operation: 45+67=112
Exploring Operation: 45+23=68, Resulting Numbers: [67, 68]
Generated Node #0,0,1: 71:[67, 68] Operation: 45+23=68
Exploring Operation: 67-23=44, Resulting Numbers: [45, 44]
Generated Node #0,0,2: 71:[45, 44] Operation: 67-23=44
Exploring Operation: 45-23=22, Resulting Numbers: [67, 22]
Generated Node #0,0,3: 71:[67, 22] Operation: 45-23=22
Exploring Operation: 23+67=90, Resulting Numbers: [45, 90]
Generated Node #0,0,4: 71:[45, 90] Operation: 23+67=90
Moving to Node #0,2
Current State: 71:[45, 32, 58], Operations: ['35+23=58']
Exploring Operation: 32+58=90, Resulting Numbers: [45, 90]
Generated Node #0,2,0: 71:[45, 90] Operation: 32+58=90
Exploring Operation: 58-32=26, Resulting Numbers: [45, 26]
Generated Node #0,2,1: 71:[45, 26] Operation: 58-32=26
Exploring Operation: 45+32=77, Resulting Numbers: [58, 77]
Generated Node #0,2,2: 71:[58, 77] Operation: 45+32=77
Exploring Operation: 45-32=13, Resulting Numbers: [58, 13]
Generated Node #0,2,3: 71:[58, 13] Operation: 45-32=13
Exploring Operation: 45+58=103, Resulting Numbers: [32, 103]
Generated Node #0,2,4: 71:[32, 103] Operation: 45+58=103
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 71:[58, 77], Operations: ['35+23=58', '45+32=77']
Exploring Operation: 58*77=4466, Resulting Numbers: [4466]
4466,71 unequal: No Solution
Exploring Operation: 77-58=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 58+77=135, Resulting Numbers: [135]
135,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[45, 90], Operations: ['35+23=58', '32+58=90']
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,71 unequal: No Solution
Exploring Operation: 45+90=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Exploring Operation: 45*90=4050, Resulting Numbers: [4050]
4050,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 71:[45, 26], Operations: ['35+23=58', '58-32=26']
Exploring Operation: 45*26=1170, Resulting Numbers: [1170]
1170,71 unequal: No Solution
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[45, 35, 32, 23], Operations: []
Exploring Operation: 35+23=58, Resulting Numbers: [45, 32, 58]
Generated Node #0,2: 71:[45, 32, 58] Operation: 35+23=58
Moving to Node #0,2
Current State: 71:[45, 32, 58], Operations: ['35+23=58']
Exploring Operation: 58-32=26, Resulting Numbers: [45, 26]
Generated Node #0,2,1: 71:[45, 26] Operation: 58-32=26
Moving to Node #0,2,1
Current State: 71:[45, 26], Operations: ['35+23=58', '58-32=26']
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
71,
57,
43,
95
] | 97 | [
"71+43=114",
"114/57=2",
"95+2=97"
] | Current State: 97:[71, 57, 43, 95], Operations: []
Exploring Operation: 71+43=114, Resulting Numbers: [57, 95, 114]
Generated Node #2: [57, 95, 114] from Operation: 71+43=114
Current State: 97:[57, 95, 114], Operations: ['71+43=114']
Exploring Operation: 114/57=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 114/57=2
Current State: 97:[95, 2], Operations: ['71+43=114', '114/57=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[71, 57, 43, 95], Operations: []
Exploring Operation: 71+57=128, Resulting Numbers: [43, 95, 128]
Generated Node #0,0: 97:[43, 95, 128] Operation: 71+57=128
Exploring Operation: 71-43=28, Resulting Numbers: [57, 95, 28]
Generated Node #0,1: 97:[57, 95, 28] Operation: 71-43=28
Exploring Operation: 43+95=138, Resulting Numbers: [71, 57, 138]
Generated Node #0,2: 97:[71, 57, 138] Operation: 43+95=138
Exploring Operation: 57+43=100, Resulting Numbers: [71, 95, 100]
Generated Node #0,3: 97:[71, 95, 100] Operation: 57+43=100
Exploring Operation: 71+43=114, Resulting Numbers: [57, 95, 114]
Generated Node #0,4: 97:[57, 95, 114] Operation: 71+43=114
Moving to Node #0,3
Current State: 97:[71, 95, 100], Operations: ['57+43=100']
Exploring Operation: 100-71=29, Resulting Numbers: [95, 29]
Generated Node #0,3,0: 97:[95, 29] Operation: 100-71=29
Exploring Operation: 95-71=24, Resulting Numbers: [100, 24]
Generated Node #0,3,1: 97:[100, 24] Operation: 95-71=24
Exploring Operation: 71+95=166, Resulting Numbers: [100, 166]
Generated Node #0,3,2: 97:[100, 166] Operation: 71+95=166
Exploring Operation: 100-95=5, Resulting Numbers: [71, 5]
Generated Node #0,3,3: 97:[71, 5] Operation: 100-95=5
Exploring Operation: 71+100=171, Resulting Numbers: [95, 171]
Generated Node #0,3,4: 97:[95, 171] Operation: 71+100=171
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[95, 29], Operations: ['57+43=100', '100-71=29']
Exploring Operation: 95*29=2755, Resulting Numbers: [2755]
2755,97 unequal: No Solution
Exploring Operation: 95+29=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 95-29=66, Resulting Numbers: [66]
66,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[100, 166], Operations: ['57+43=100', '71+95=166']
Exploring Operation: 166-100=66, Resulting Numbers: [66]
66,97 unequal: No Solution
Exploring Operation: 100+166=266, Resulting Numbers: [266]
266,97 unequal: No Solution
Exploring Operation: 100*166=16600, Resulting Numbers: [16600]
16600,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[100, 24], Operations: ['57+43=100', '95-71=24']
Exploring Operation: 100*24=2400, Resulting Numbers: [2400]
2400,97 unequal: No Solution
Exploring Operation: 100-24=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 100+24=124, Resulting Numbers: [124]
124,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 97:[95, 171], Operations: ['57+43=100', '71+100=171']
Exploring Operation: 95*171=16245, Resulting Numbers: [16245]
16245,97 unequal: No Solution
Exploring Operation: 171-95=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 95+171=266, Resulting Numbers: [266]
266,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[71, 5], Operations: ['57+43=100', '100-95=5']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,97 unequal: No Solution
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 71*5=355, Resulting Numbers: [355]
355,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 97:[57, 95, 114], Operations: ['71+43=114']
Exploring Operation: 114-57=57, Resulting Numbers: [95, 57]
Generated Node #0,4,0: 97:[95, 57] Operation: 114-57=57
Exploring Operation: 57+95=152, Resulting Numbers: [114, 152]
Generated Node #0,4,1: 97:[114, 152] Operation: 57+95=152
Exploring Operation: 95-57=38, Resulting Numbers: [114, 38]
Generated Node #0,4,2: 97:[114, 38] Operation: 95-57=38
Exploring Operation: 114/57=2, Resulting Numbers: [95, 2]
Generated Node #0,4,3: 97:[95, 2] Operation: 114/57=2
Exploring Operation: 57+114=171, Resulting Numbers: [95, 171]
Generated Node #0,4,4: 97:[95, 171] Operation: 57+114=171
Moving to Node #0,0
Current State: 97:[43, 95, 128], Operations: ['71+57=128']
Exploring Operation: 128-95=33, Resulting Numbers: [43, 33]
Generated Node #0,0,0: 97:[43, 33] Operation: 128-95=33
Exploring Operation: 128-43=85, Resulting Numbers: [95, 85]
Generated Node #0,0,1: 97:[95, 85] Operation: 128-43=85
Exploring Operation: 95-43=52, Resulting Numbers: [128, 52]
Generated Node #0,0,2: 97:[128, 52] Operation: 95-43=52
Exploring Operation: 43+95=138, Resulting Numbers: [128, 138]
Generated Node #0,0,3: 97:[128, 138] Operation: 43+95=138
Exploring Operation: 43+128=171, Resulting Numbers: [95, 171]
Generated Node #0,0,4: 97:[95, 171] Operation: 43+128=171
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[95, 85], Operations: ['71+57=128', '128-43=85']
Exploring Operation: 95*85=8075, Resulting Numbers: [8075]
8075,97 unequal: No Solution
Exploring Operation: 95+85=180, Resulting Numbers: [180]
180,97 unequal: No Solution
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[128, 138], Operations: ['71+57=128', '43+95=138']
Exploring Operation: 138-128=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Exploring Operation: 128+138=266, Resulting Numbers: [266]
266,97 unequal: No Solution
Exploring Operation: 128*138=17664, Resulting Numbers: [17664]
17664,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[128, 52], Operations: ['71+57=128', '95-43=52']
Exploring Operation: 128*52=6656, Resulting Numbers: [6656]
6656,97 unequal: No Solution
Exploring Operation: 128-52=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 128+52=180, Resulting Numbers: [180]
180,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 97:[95, 171], Operations: ['71+57=128', '43+128=171']
Exploring Operation: 95*171=16245, Resulting Numbers: [16245]
16245,97 unequal: No Solution
Exploring Operation: 95+171=266, Resulting Numbers: [266]
266,97 unequal: No Solution
Exploring Operation: 171-95=76, Resulting Numbers: [76]
76,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[43, 33], Operations: ['71+57=128', '128-95=33']
Exploring Operation: 43*33=1419, Resulting Numbers: [1419]
1419,97 unequal: No Solution
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 97:[71, 57, 138], Operations: ['43+95=138']
Exploring Operation: 57+138=195, Resulting Numbers: [71, 195]
Generated Node #0,2,0: 97:[71, 195] Operation: 57+138=195
Exploring Operation: 138-71=67, Resulting Numbers: [57, 67]
Generated Node #0,2,1: 97:[57, 67] Operation: 138-71=67
Exploring Operation: 138-57=81, Resulting Numbers: [71, 81]
Generated Node #0,2,2: 97:[71, 81] Operation: 138-57=81
Exploring Operation: 71-57=14, Resulting Numbers: [138, 14]
Generated Node #0,2,3: 97:[138, 14] Operation: 71-57=14
Exploring Operation: 71+57=128, Resulting Numbers: [138, 128]
Generated Node #0,2,4: 97:[138, 128] Operation: 71+57=128
Moving to Node #0,1
Current State: 97:[57, 95, 28], Operations: ['71-43=28']
Exploring Operation: 57+28=85, Resulting Numbers: [95, 85]
Generated Node #0,1,0: 97:[95, 85] Operation: 57+28=85
Exploring Operation: 57+95=152, Resulting Numbers: [28, 152]
Generated Node #0,1,1: 97:[28, 152] Operation: 57+95=152
Exploring Operation: 57-28=29, Resulting Numbers: [95, 29]
Generated Node #0,1,2: 97:[95, 29] Operation: 57-28=29
Exploring Operation: 95-28=67, Resulting Numbers: [57, 67]
Generated Node #0,1,3: 97:[57, 67] Operation: 95-28=67
Exploring Operation: 95+28=123, Resulting Numbers: [57, 123]
Generated Node #0,1,4: 97:[57, 123] Operation: 95+28=123
Moving to Node #0,1,0
Current State: 97:[95, 85], Operations: ['71-43=28', '57+28=85']
Exploring Operation: 95*85=8075, Resulting Numbers: [8075]
8075,97 unequal: No Solution
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Exploring Operation: 95+85=180, Resulting Numbers: [180]
180,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[71, 81], Operations: ['43+95=138', '138-57=81']
Exploring Operation: 71+81=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Exploring Operation: 71*81=5751, Resulting Numbers: [5751]
5751,97 unequal: No Solution
Moving to Node #0,4,0
Current State: 97:[95, 57], Operations: ['71+43=114', '114-57=57']
Exploring Operation: 95*57=5415, Resulting Numbers: [5415]
5415,97 unequal: No Solution
Exploring Operation: 95+57=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,97 unequal: No Solution
Moving to Node #0,1,4
Current State: 97:[57, 123], Operations: ['71-43=28', '95+28=123']
Exploring Operation: 123-57=66, Resulting Numbers: [66]
66,97 unequal: No Solution
Exploring Operation: 57+123=180, Resulting Numbers: [180]
180,97 unequal: No Solution
Exploring Operation: 57*123=7011, Resulting Numbers: [7011]
7011,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[57, 67], Operations: ['43+95=138', '138-71=67']
Exploring Operation: 57*67=3819, Resulting Numbers: [3819]
3819,97 unequal: No Solution
Exploring Operation: 57+67=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 67-57=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[95, 29], Operations: ['71-43=28', '57-28=29']
Exploring Operation: 95*29=2755, Resulting Numbers: [2755]
2755,97 unequal: No Solution
Exploring Operation: 95-29=66, Resulting Numbers: [66]
66,97 unequal: No Solution
Exploring Operation: 95+29=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[57, 67], Operations: ['71-43=28', '95-28=67']
Exploring Operation: 67-57=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Exploring Operation: 57*67=3819, Resulting Numbers: [3819]
3819,97 unequal: No Solution
Exploring Operation: 57+67=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Moving to Node #0,4,1
Current State: 97:[114, 152], Operations: ['71+43=114', '57+95=152']
Exploring Operation: 114*152=17328, Resulting Numbers: [17328]
17328,97 unequal: No Solution
Exploring Operation: 152-114=38, Resulting Numbers: [38]
38,97 unequal: No Solution
Exploring Operation: 114+152=266, Resulting Numbers: [266]
266,97 unequal: No Solution
Moving to Node #0,2,4
Current State: 97:[138, 128], Operations: ['43+95=138', '71+57=128']
Exploring Operation: 138*128=17664, Resulting Numbers: [17664]
17664,97 unequal: No Solution
Exploring Operation: 138+128=266, Resulting Numbers: [266]
266,97 unequal: No Solution
Exploring Operation: 138-128=10, Resulting Numbers: [10]
10,97 unequal: No Solution
Moving to Node #0,4,2
Current State: 97:[114, 38], Operations: ['71+43=114', '95-57=38']
Exploring Operation: 114*38=4332, Resulting Numbers: [4332]
4332,97 unequal: No Solution
Exploring Operation: 114-38=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 114+38=152, Resulting Numbers: [152]
152,97 unequal: No Solution
Exploring Operation: 114/38=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Moving to Node #0,4,4
Current State: 97:[95, 171], Operations: ['71+43=114', '57+114=171']
Exploring Operation: 171-95=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 95+171=266, Resulting Numbers: [266]
266,97 unequal: No Solution
Exploring Operation: 95*171=16245, Resulting Numbers: [16245]
16245,97 unequal: No Solution
Moving to Node #0,4,3
Current State: 97:[95, 2], Operations: ['71+43=114', '114/57=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,97 unequal: No Solution
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,97 unequal: No Solution
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[71, 57, 43, 95], Operations: []
Exploring Operation: 71+43=114, Resulting Numbers: [57, 95, 114]
Generated Node #0,4: 97:[57, 95, 114] Operation: 71+43=114
Moving to Node #0,4
Current State: 97:[57, 95, 114], Operations: ['71+43=114']
Exploring Operation: 114/57=2, Resulting Numbers: [95, 2]
Generated Node #0,4,3: 97:[95, 2] Operation: 114/57=2
Moving to Node #0,4,3
Current State: 97:[95, 2], Operations: ['71+43=114', '114/57=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.912326 | hs_5 | sum_heuristic |
[
60,
44,
8,
20
] | 44 | [
"60-44=16",
"8+20=28",
"16+28=44"
] | Current State: 44:[60, 44, 8, 20], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [8, 20, 16]
Generated Node #2: [8, 20, 16] from Operation: 60-44=16
Current State: 44:[8, 20, 16], Operations: ['60-44=16']
Exploring Operation: 8+20=28, Resulting Numbers: [16, 28]
Generated Node #3: [16, 28] from Operation: 8+20=28
Current State: 44:[16, 28], Operations: ['60-44=16', '8+20=28']
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[60, 44, 8, 20], Operations: []
Exploring Operation: 60-20=40, Resulting Numbers: [44, 8, 40]
Generated Node #0,0: 44:[44, 8, 40] Operation: 60-20=40
Exploring Operation: 60/20=3, Resulting Numbers: [44, 8, 3]
Generated Node #0,1: 44:[44, 8, 3] Operation: 60/20=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[44, 8, 3], Operations: ['60/20=3']
Exploring Operation: 8-3=5, Resulting Numbers: [44, 5]
Generated Node #0,1,0: 44:[44, 5] Operation: 8-3=5
Exploring Operation: 8+3=11, Resulting Numbers: [44, 11]
Generated Node #0,1,1: 44:[44, 11] Operation: 8+3=11
Moving to Node #0,1,1
Current State: 44:[44, 11], Operations: ['60/20=3', '8+3=11']
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[44, 5], Operations: ['60/20=3', '8-3=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[44, 8, 40], Operations: ['60-20=40']
Exploring Operation: 40/8=5, Resulting Numbers: [44, 5]
Generated Node #0,0,0: 44:[44, 5] Operation: 40/8=5
Exploring Operation: 44-40=4, Resulting Numbers: [8, 4]
Generated Node #0,0,1: 44:[8, 4] Operation: 44-40=4
Moving to Node #0,0,0
Current State: 44:[44, 5], Operations: ['60-20=40', '40/8=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,44 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[8, 4], Operations: ['60-20=40', '44-40=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
35,
8,
86,
42
] | 51 | [
"86+42=128",
"128/8=16",
"35+16=51"
] | Current State: 51:[35, 8, 86, 42], Operations: []
Exploring Operation: 86+42=128, Resulting Numbers: [35, 8, 128]
Generated Node #2: [35, 8, 128] from Operation: 86+42=128
Current State: 51:[35, 8, 128], Operations: ['86+42=128']
Exploring Operation: 128/8=16, Resulting Numbers: [35, 16]
Generated Node #3: [35, 16] from Operation: 128/8=16
Current State: 51:[35, 16], Operations: ['86+42=128', '128/8=16']
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[35, 8, 86, 42], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [8, 42, 51]
Generated Node #0,0: 51:[8, 42, 51] Operation: 86-35=51
Exploring Operation: 86-42=44, Resulting Numbers: [35, 8, 44]
Generated Node #0,1: 51:[35, 8, 44] Operation: 86-42=44
Moving to Node #0,0
Current State: 51:[8, 42, 51], Operations: ['86-35=51']
Exploring Operation: 8+42=50, Resulting Numbers: [51, 50]
Generated Node #0,0,0: 51:[51, 50] Operation: 8+42=50
Exploring Operation: 51-42=9, Resulting Numbers: [8, 9]
Generated Node #0,0,1: 51:[8, 9] Operation: 51-42=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[51, 50], Operations: ['86-35=51', '8+42=50']
Exploring Operation: 51+50=101, Resulting Numbers: [101]
101,51 unequal: No Solution
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[8, 9], Operations: ['86-35=51', '51-42=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 51:[35, 8, 44], Operations: ['86-42=44']
Exploring Operation: 44-35=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 51:[8, 9] Operation: 44-35=9
Exploring Operation: 35+8=43, Resulting Numbers: [44, 43]
Generated Node #0,1,1: 51:[44, 43] Operation: 35+8=43
Moving to Node #0,1,0
Current State: 51:[8, 9], Operations: ['86-42=44', '44-35=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[44, 43], Operations: ['86-42=44', '35+8=43']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,51 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
69,
76,
41,
8
] | 13 | [
"69+76=145",
"145-41=104",
"104/8=13"
] | Current State: 13:[69, 76, 41, 8], Operations: []
Exploring Operation: 69+76=145, Resulting Numbers: [41, 8, 145]
Generated Node #2: [41, 8, 145] from Operation: 69+76=145
Current State: 13:[41, 8, 145], Operations: ['69+76=145']
Exploring Operation: 145-41=104, Resulting Numbers: [8, 104]
Generated Node #3: [8, 104] from Operation: 145-41=104
Current State: 13:[8, 104], Operations: ['69+76=145', '145-41=104']
Exploring Operation: 104/8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[69, 76, 41, 8], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [41, 8, 7]
Generated Node #0,0: 13:[41, 8, 7] Operation: 76-69=7
Exploring Operation: 76-41=35, Resulting Numbers: [69, 8, 35]
Generated Node #0,1: 13:[69, 8, 35] Operation: 76-41=35
Exploring Operation: 69-41=28, Resulting Numbers: [76, 8, 28]
Generated Node #0,2: 13:[76, 8, 28] Operation: 69-41=28
Moving to Node #0,0
Current State: 13:[41, 8, 7], Operations: ['76-69=7']
Exploring Operation: 41-7=34, Resulting Numbers: [8, 34]
Generated Node #0,0,0: 13:[8, 34] Operation: 41-7=34
Exploring Operation: 41-8=33, Resulting Numbers: [7, 33]
Generated Node #0,0,1: 13:[7, 33] Operation: 41-8=33
Exploring Operation: 8+7=15, Resulting Numbers: [41, 15]
Generated Node #0,0,2: 13:[41, 15] Operation: 8+7=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[8, 34], Operations: ['76-69=7', '41-7=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[7, 33], Operations: ['76-69=7', '41-8=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[41, 15], Operations: ['76-69=7', '8+7=15']
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,13 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 13:[69, 8, 35], Operations: ['76-41=35']
Exploring Operation: 35-8=27, Resulting Numbers: [69, 27]
Generated Node #0,1,0: 13:[69, 27] Operation: 35-8=27
Exploring Operation: 69-35=34, Resulting Numbers: [8, 34]
Generated Node #0,1,1: 13:[8, 34] Operation: 69-35=34
Exploring Operation: 69-8=61, Resulting Numbers: [35, 61]
Generated Node #0,1,2: 13:[35, 61] Operation: 69-8=61
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[8, 34], Operations: ['76-41=35', '69-35=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 8*34=272, Resulting Numbers: [272]
272,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[69, 27], Operations: ['76-41=35', '35-8=27']
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,13 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[35, 61], Operations: ['76-41=35', '69-8=61']
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,13 unequal: No Solution
Exploring Operation: 35+61=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 35*61=2135, Resulting Numbers: [2135]
2135,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 13:[76, 8, 28], Operations: ['69-41=28']
Exploring Operation: 76-8=68, Resulting Numbers: [28, 68]
Generated Node #0,2,0: 13:[28, 68] Operation: 76-8=68
Exploring Operation: 28-8=20, Resulting Numbers: [76, 20]
Generated Node #0,2,1: 13:[76, 20] Operation: 28-8=20
Exploring Operation: 76-28=48, Resulting Numbers: [8, 48]
Generated Node #0,2,2: 13:[8, 48] Operation: 76-28=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[8, 48], Operations: ['69-41=28', '76-28=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 13:[28, 68], Operations: ['69-41=28', '76-8=68']
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 28*68=1904, Resulting Numbers: [1904]
1904,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[76, 20], Operations: ['69-41=28', '28-8=20']
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,13 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
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