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 |
|---|---|---|---|---|---|---|---|---|
[
9,
97,
98,
2
] | 83 | [
"9-2=7",
"98/7=14",
"97-14=83"
] | Current State: 83:[9, 97, 98, 2], Operations: []
Exploring Operation: 9-2=7, Resulting Numbers: [97, 98, 7]
Generated Node #2: [97, 98, 7] from Operation: 9-2=7
Current State: 83:[97, 98, 7], Operations: ['9-2=7']
Exploring Operation: 98/7=14, Resulting Numbers: [97, 14]
Generated Node #3: [97, 14] from Operation: 98/7=14
Current State: 83:[97, 14], Operations: ['9-2=7', '98/7=14']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[9, 97, 98, 2], Operations: []
Exploring Operation: 9+2=11, Resulting Numbers: [97, 98, 11]
Generated Node #0,0: 83:[97, 98, 11] Operation: 9+2=11
Exploring Operation: 97-9=88, Resulting Numbers: [98, 2, 88]
Generated Node #0,1: 83:[98, 2, 88] Operation: 97-9=88
Exploring Operation: 97-2=95, Resulting Numbers: [9, 98, 95]
Generated Node #0,2: 83:[9, 98, 95] Operation: 97-2=95
Exploring Operation: 98-9=89, Resulting Numbers: [97, 2, 89]
Generated Node #0,3: 83:[97, 2, 89] Operation: 98-9=89
Exploring Operation: 9*2=18, Resulting Numbers: [97, 98, 18]
Generated Node #0,4: 83:[97, 98, 18] Operation: 9*2=18
Start Sub Search at level 1: Moving to Node #0,4
Current State: 83:[97, 98, 18], Operations: ['9*2=18']
Exploring Operation: 98-97=1, Resulting Numbers: [18, 1]
Generated Node #0,4,0: 83:[18, 1] Operation: 98-97=1
Exploring Operation: 97-18=79, Resulting Numbers: [98, 79]
Generated Node #0,4,1: 83:[98, 79] Operation: 97-18=79
Exploring Operation: 98-18=80, Resulting Numbers: [97, 80]
Generated Node #0,4,2: 83:[97, 80] Operation: 98-18=80
Exploring Operation: 98+18=116, Resulting Numbers: [97, 116]
Generated Node #0,4,3: 83:[97, 116] Operation: 98+18=116
Exploring Operation: 97+18=115, Resulting Numbers: [98, 115]
Generated Node #0,4,4: 83:[98, 115] Operation: 97+18=115
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 83:[97, 80], Operations: ['9*2=18', '98-18=80']
Exploring Operation: 97*80=7760, Resulting Numbers: [7760]
7760,83 unequal: No Solution
Exploring Operation: 97+80=177, Resulting Numbers: [177]
177,83 unequal: No Solution
Exploring Operation: 97-80=17, Resulting Numbers: [17]
17,83 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 #0,4,1
Current State: 83:[98, 79], Operations: ['9*2=18', '97-18=79']
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 98+79=177, Resulting Numbers: [177]
177,83 unequal: No Solution
Exploring Operation: 98*79=7742, Resulting Numbers: [7742]
7742,83 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 #0,4,3
Current State: 83:[97, 116], Operations: ['9*2=18', '98+18=116']
Exploring Operation: 116-97=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 97+116=213, Resulting Numbers: [213]
213,83 unequal: No Solution
Exploring Operation: 97*116=11252, Resulting Numbers: [11252]
11252,83 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 #0,4,4
Current State: 83:[98, 115], Operations: ['9*2=18', '97+18=115']
Exploring Operation: 98+115=213, Resulting Numbers: [213]
213,83 unequal: No Solution
Exploring Operation: 115-98=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 98*115=11270, Resulting Numbers: [11270]
11270,83 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 #0,4,0
Current State: 83:[18, 1], Operations: ['9*2=18', '98-97=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,83 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 #0,0
Current State: 83:[97, 98, 11], Operations: ['9+2=11']
Exploring Operation: 98-97=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 83:[11, 1] Operation: 98-97=1
Exploring Operation: 97+11=108, Resulting Numbers: [98, 108]
Generated Node #0,0,1: 83:[98, 108] Operation: 97+11=108
Exploring Operation: 97-11=86, Resulting Numbers: [98, 86]
Generated Node #0,0,2: 83:[98, 86] Operation: 97-11=86
Exploring Operation: 98-11=87, Resulting Numbers: [97, 87]
Generated Node #0,0,3: 83:[97, 87] Operation: 98-11=87
Exploring Operation: 98+11=109, Resulting Numbers: [97, 109]
Generated Node #0,0,4: 83:[97, 109] Operation: 98+11=109
Moving to Node #0,0,2
Current State: 83:[98, 86], Operations: ['9+2=11', '97-11=86']
Exploring Operation: 98-86=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 98+86=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Exploring Operation: 98*86=8428, Resulting Numbers: [8428]
8428,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[97, 87], Operations: ['9+2=11', '98-11=87']
Exploring Operation: 97*87=8439, Resulting Numbers: [8439]
8439,83 unequal: No Solution
Exploring Operation: 97+87=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Exploring Operation: 97-87=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[98, 108], Operations: ['9+2=11', '97+11=108']
Exploring Operation: 98+108=206, Resulting Numbers: [206]
206,83 unequal: No Solution
Exploring Operation: 108-98=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 98*108=10584, Resulting Numbers: [10584]
10584,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[97, 109], Operations: ['9+2=11', '98+11=109']
Exploring Operation: 97*109=10573, Resulting Numbers: [10573]
10573,83 unequal: No Solution
Exploring Operation: 97+109=206, Resulting Numbers: [206]
206,83 unequal: No Solution
Exploring Operation: 109-97=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[11, 1], Operations: ['9+2=11', '98-97=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,83 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:[98, 2, 88], Operations: ['97-9=88']
Exploring Operation: 2+88=90, Resulting Numbers: [98, 90]
Generated Node #0,1,0: 83:[98, 90] Operation: 2+88=90
Exploring Operation: 98/2=49, Resulting Numbers: [88, 49]
Generated Node #0,1,1: 83:[88, 49] Operation: 98/2=49
Exploring Operation: 98+2=100, Resulting Numbers: [88, 100]
Generated Node #0,1,2: 83:[88, 100] Operation: 98+2=100
Exploring Operation: 98-2=96, Resulting Numbers: [88, 96]
Generated Node #0,1,3: 83:[88, 96] Operation: 98-2=96
Exploring Operation: 88-2=86, Resulting Numbers: [98, 86]
Generated Node #0,1,4: 83:[98, 86] Operation: 88-2=86
Moving to Node #0,1,3
Current State: 83:[88, 96], Operations: ['97-9=88', '98-2=96']
Exploring Operation: 96-88=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Exploring Operation: 88*96=8448, Resulting Numbers: [8448]
8448,83 unequal: No Solution
Exploring Operation: 88+96=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[98, 86], Operations: ['97-9=88', '88-2=86']
Exploring Operation: 98+86=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Exploring Operation: 98-86=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 98*86=8428, Resulting Numbers: [8428]
8428,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[98, 90], Operations: ['97-9=88', '2+88=90']
Exploring Operation: 98*90=8820, Resulting Numbers: [8820]
8820,83 unequal: No Solution
Exploring Operation: 98-90=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Exploring Operation: 98+90=188, Resulting Numbers: [188]
188,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[88, 100], Operations: ['97-9=88', '98+2=100']
Exploring Operation: 100-88=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 88+100=188, Resulting Numbers: [188]
188,83 unequal: No Solution
Exploring Operation: 88*100=8800, Resulting Numbers: [8800]
8800,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[88, 49], Operations: ['97-9=88', '98/2=49']
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,83 unequal: No Solution
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,83 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 #0,2
Current State: 83:[9, 98, 95], Operations: ['97-2=95']
Exploring Operation: 98-95=3, Resulting Numbers: [9, 3]
Generated Node #0,2,0: 83:[9, 3] Operation: 98-95=3
Exploring Operation: 9+95=104, Resulting Numbers: [98, 104]
Generated Node #0,2,1: 83:[98, 104] Operation: 9+95=104
Exploring Operation: 95-9=86, Resulting Numbers: [98, 86]
Generated Node #0,2,2: 83:[98, 86] Operation: 95-9=86
Exploring Operation: 98-9=89, Resulting Numbers: [95, 89]
Generated Node #0,2,3: 83:[95, 89] Operation: 98-9=89
Exploring Operation: 9+98=107, Resulting Numbers: [95, 107]
Generated Node #0,2,4: 83:[95, 107] Operation: 9+98=107
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[98, 86], Operations: ['97-2=95', '95-9=86']
Exploring Operation: 98-86=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 98*86=8428, Resulting Numbers: [8428]
8428,83 unequal: No Solution
Exploring Operation: 98+86=184, Resulting Numbers: [184]
184,83 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 #0,2,3
Current State: 83:[95, 89], Operations: ['97-2=95', '98-9=89']
Exploring Operation: 95+89=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Exploring Operation: 95*89=8455, Resulting Numbers: [8455]
8455,83 unequal: No Solution
Exploring Operation: 95-89=6, Resulting Numbers: [6]
6,83 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 #0,2,1
Current State: 83:[98, 104], Operations: ['97-2=95', '9+95=104']
Exploring Operation: 98*104=10192, Resulting Numbers: [10192]
10192,83 unequal: No Solution
Exploring Operation: 98+104=202, Resulting Numbers: [202]
202,83 unequal: No Solution
Exploring Operation: 104-98=6, Resulting Numbers: [6]
6,83 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 #0,2,4
Current State: 83:[95, 107], Operations: ['97-2=95', '9+98=107']
Exploring Operation: 95*107=10165, Resulting Numbers: [10165]
10165,83 unequal: No Solution
Exploring Operation: 107-95=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 95+107=202, Resulting Numbers: [202]
202,83 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:[9, 3], Operations: ['97-2=95', '98-95=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,83 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 #0,3
Current State: 83:[97, 2, 89], Operations: ['98-9=89']
Exploring Operation: 2*89=178, Resulting Numbers: [97, 178]
Generated Node #0,3,0: 83:[97, 178] Operation: 2*89=178
Exploring Operation: 97+2=99, Resulting Numbers: [89, 99]
Generated Node #0,3,1: 83:[89, 99] Operation: 97+2=99
Exploring Operation: 2+89=91, Resulting Numbers: [97, 91]
Generated Node #0,3,2: 83:[97, 91] Operation: 2+89=91
Exploring Operation: 89-2=87, Resulting Numbers: [97, 87]
Generated Node #0,3,3: 83:[97, 87] Operation: 89-2=87
Exploring Operation: 97-2=95, Resulting Numbers: [89, 95]
Generated Node #0,3,4: 83:[89, 95] Operation: 97-2=95
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[97, 87], Operations: ['98-9=89', '89-2=87']
Exploring Operation: 97*87=8439, Resulting Numbers: [8439]
8439,83 unequal: No Solution
Exploring Operation: 97-87=10, Resulting Numbers: [10]
10,83 unequal: No Solution
Exploring Operation: 97+87=184, Resulting Numbers: [184]
184,83 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 #0,3,4
Current State: 83:[89, 95], Operations: ['98-9=89', '97-2=95']
Exploring Operation: 89+95=184, Resulting Numbers: [184]
184,83 unequal: No Solution
Exploring Operation: 89*95=8455, Resulting Numbers: [8455]
8455,83 unequal: No Solution
Exploring Operation: 95-89=6, Resulting Numbers: [6]
6,83 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 #0,3,1
Current State: 83:[89, 99], Operations: ['98-9=89', '97+2=99']
Exploring Operation: 89+99=188, Resulting Numbers: [188]
188,83 unequal: No Solution
Exploring Operation: 89*99=8811, Resulting Numbers: [8811]
8811,83 unequal: No Solution
Exploring Operation: 99-89=10, Resulting Numbers: [10]
10,83 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 #0,3,2
Current State: 83:[97, 91], Operations: ['98-9=89', '2+89=91']
Exploring Operation: 97*91=8827, Resulting Numbers: [8827]
8827,83 unequal: No Solution
Exploring Operation: 97-91=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 97+91=188, Resulting Numbers: [188]
188,83 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 #0,3,0
Current State: 83:[97, 178], Operations: ['98-9=89', '2*89=178']
Exploring Operation: 97+178=275, Resulting Numbers: [275]
275,83 unequal: No Solution
Exploring Operation: 178-97=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 97*178=17266, Resulting Numbers: [17266]
17266,83 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_5 | mult_heuristic |
[
45,
88,
40,
80
] | 40 | [
"45-40=5",
"88-80=8",
"5*8=40"
] | Current State: 40:[45, 88, 40, 80], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [88, 80, 5]
Generated Node #2: [88, 80, 5] from Operation: 45-40=5
Current State: 40:[88, 80, 5], Operations: ['45-40=5']
Exploring Operation: 88-80=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 88-80=8
Current State: 40:[5, 8], Operations: ['45-40=5', '88-80=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[45, 88, 40, 80], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [45, 80, 48]
Generated Node #0,0: 40:[45, 80, 48] Operation: 88-40=48
Exploring Operation: 88-80=8, Resulting Numbers: [45, 40, 8]
Generated Node #0,1: 40:[45, 40, 8] Operation: 88-80=8
Exploring Operation: 88-45=43, Resulting Numbers: [40, 80, 43]
Generated Node #0,2: 40:[40, 80, 43] Operation: 88-45=43
Exploring Operation: 80-45=35, Resulting Numbers: [88, 40, 35]
Generated Node #0,3: 40:[88, 40, 35] Operation: 80-45=35
Moving to Node #0,1
Current State: 40:[45, 40, 8], Operations: ['88-80=8']
Exploring Operation: 45-40=5, Resulting Numbers: [8, 5]
Generated Node #0,1,0: 40:[8, 5] Operation: 45-40=5
Exploring Operation: 45-8=37, Resulting Numbers: [40, 37]
Generated Node #0,1,1: 40:[40, 37] Operation: 45-8=37
Exploring Operation: 40/8=5, Resulting Numbers: [45, 5]
Generated Node #0,1,2: 40:[45, 5] Operation: 40/8=5
Exploring Operation: 45+8=53, Resulting Numbers: [40, 53]
Generated Node #0,1,3: 40:[40, 53] Operation: 45+8=53
Moving to Node #0,2
Current State: 40:[40, 80, 43], Operations: ['88-45=43']
Exploring Operation: 80-43=37, Resulting Numbers: [40, 37]
Generated Node #0,2,0: 40:[40, 37] Operation: 80-43=37
Exploring Operation: 43-40=3, Resulting Numbers: [80, 3]
Generated Node #0,2,1: 40:[80, 3] Operation: 43-40=3
Exploring Operation: 80/40=2, Resulting Numbers: [43, 2]
Generated Node #0,2,2: 40:[43, 2] Operation: 80/40=2
Exploring Operation: 80-40=40, Resulting Numbers: [43, 40]
Generated Node #0,2,3: 40:[43, 40] Operation: 80-40=40
Moving to Node #0,3
Current State: 40:[88, 40, 35], Operations: ['80-45=35']
Exploring Operation: 88-35=53, Resulting Numbers: [40, 53]
Generated Node #0,3,0: 40:[40, 53] Operation: 88-35=53
Exploring Operation: 88-40=48, Resulting Numbers: [35, 48]
Generated Node #0,3,1: 40:[35, 48] Operation: 88-40=48
Exploring Operation: 40-35=5, Resulting Numbers: [88, 5]
Generated Node #0,3,2: 40:[88, 5] Operation: 40-35=5
Exploring Operation: 88+35=123, Resulting Numbers: [40, 123]
Generated Node #0,3,3: 40:[40, 123] Operation: 88+35=123
Moving to Node #0,0
Current State: 40:[45, 80, 48], Operations: ['88-40=48']
Exploring Operation: 48-45=3, Resulting Numbers: [80, 3]
Generated Node #0,0,0: 40:[80, 3] Operation: 48-45=3
Exploring Operation: 80-48=32, Resulting Numbers: [45, 32]
Generated Node #0,0,1: 40:[45, 32] Operation: 80-48=32
Exploring Operation: 80-45=35, Resulting Numbers: [48, 35]
Generated Node #0,0,2: 40:[48, 35] Operation: 80-45=35
Exploring Operation: 45+80=125, Resulting Numbers: [48, 125]
Generated Node #0,0,3: 40:[48, 125] Operation: 45+80=125
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[45, 32], Operations: ['88-40=48', '80-48=32']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,40 unequal: No Solution
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,40 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: 40:[48, 35], Operations: ['88-40=48', '80-45=35']
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Exploring Operation: 48+35=83, Resulting Numbers: [83]
83,40 unequal: No Solution
Exploring Operation: 48*35=1680, Resulting Numbers: [1680]
1680,40 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: 40:[80, 3], Operations: ['88-40=48', '48-45=3']
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,40 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,40 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,40 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: 40:[48, 125], Operations: ['88-40=48', '45+80=125']
Exploring Operation: 48*125=6000, Resulting Numbers: [6000]
6000,40 unequal: No Solution
Exploring Operation: 48+125=173, Resulting Numbers: [173]
173,40 unequal: No Solution
Exploring Operation: 125-48=77, Resulting Numbers: [77]
77,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 40:[8, 5], Operations: ['88-80=8', '45-40=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 8+5=13, Resulting Numbers: [13]
13,40 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[45, 88, 40, 80], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [45, 40, 8]
Generated Node #0,1: 40:[45, 40, 8] Operation: 88-80=8
Moving to Node #0,1
Current State: 40:[45, 40, 8], Operations: ['88-80=8']
Exploring Operation: 45-40=5, Resulting Numbers: [8, 5]
Generated Node #0,1,0: 40:[8, 5] Operation: 45-40=5
Moving to Node #0,1,0
Current State: 40:[8, 5], Operations: ['88-80=8', '45-40=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.966146 | hs_4 | sum_heuristic |
[
23,
24,
12,
34
] | 55 | [
"23+34=57",
"24/12=2",
"57-2=55"
] | Current State: 55:[23, 24, 12, 34], Operations: []
Exploring Operation: 23+34=57, Resulting Numbers: [24, 12, 57]
Generated Node #2: [24, 12, 57] from Operation: 23+34=57
Current State: 55:[24, 12, 57], Operations: ['23+34=57']
Exploring Operation: 24/12=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 24/12=2
Current State: 55:[57, 2], Operations: ['23+34=57', '24/12=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[23, 24, 12, 34], Operations: []
Exploring Operation: 23+34=57, Resulting Numbers: [24, 12, 57]
Generated Node #0,0: 55:[24, 12, 57] Operation: 23+34=57
Exploring Operation: 24+34=58, Resulting Numbers: [23, 12, 58]
Generated Node #0,1: 55:[23, 12, 58] Operation: 24+34=58
Exploring Operation: 34-23=11, Resulting Numbers: [24, 12, 11]
Generated Node #0,2: 55:[24, 12, 11] Operation: 34-23=11
Exploring Operation: 34-24=10, Resulting Numbers: [23, 12, 10]
Generated Node #0,3: 55:[23, 12, 10] Operation: 34-24=10
Exploring Operation: 24-23=1, Resulting Numbers: [12, 34, 1]
Generated Node #0,4: 55:[12, 34, 1] Operation: 24-23=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[24, 12, 11], Operations: ['34-23=11']
Exploring Operation: 24/12=2, Resulting Numbers: [11, 2]
Generated Node #0,2,0: 55:[11, 2] Operation: 24/12=2
Exploring Operation: 12-11=1, Resulting Numbers: [24, 1]
Generated Node #0,2,1: 55:[24, 1] Operation: 12-11=1
Exploring Operation: 24-11=13, Resulting Numbers: [12, 13]
Generated Node #0,2,2: 55:[12, 13] Operation: 24-11=13
Exploring Operation: 24-12=12, Resulting Numbers: [11, 12]
Generated Node #0,2,3: 55:[11, 12] Operation: 24-12=12
Exploring Operation: 24+12=36, Resulting Numbers: [11, 36]
Generated Node #0,2,4: 55:[11, 36] Operation: 24+12=36
Moving to Node #0,2,3
Current State: 55:[11, 12], Operations: ['34-23=11', '24-12=12']
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,55 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[12, 13], Operations: ['34-23=11', '24-11=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[11, 2], Operations: ['34-23=11', '24/12=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[24, 1], Operations: ['34-23=11', '12-11=1']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,55 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,55 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[11, 36], Operations: ['34-23=11', '24+12=36']
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,55 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,55 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,55 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: 55:[23, 12, 10], Operations: ['34-24=10']
Exploring Operation: 12-10=2, Resulting Numbers: [23, 2]
Generated Node #0,3,0: 55:[23, 2] Operation: 12-10=2
Exploring Operation: 23-10=13, Resulting Numbers: [12, 13]
Generated Node #0,3,1: 55:[12, 13] Operation: 23-10=13
Exploring Operation: 23+12=35, Resulting Numbers: [10, 35]
Generated Node #0,3,2: 55:[10, 35] Operation: 23+12=35
Exploring Operation: 23+10=33, Resulting Numbers: [12, 33]
Generated Node #0,3,3: 55:[12, 33] Operation: 23+10=33
Exploring Operation: 23-12=11, Resulting Numbers: [10, 11]
Generated Node #0,3,4: 55:[10, 11] Operation: 23-12=11
Moving to Node #0,3,4
Current State: 55:[10, 11], Operations: ['34-24=10', '23-12=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,55 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[12, 13], Operations: ['34-24=10', '23-10=13']
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[23, 2], Operations: ['34-24=10', '12-10=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,55 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[10, 35], Operations: ['34-24=10', '23+12=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,55 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[12, 33], Operations: ['34-24=10', '23+10=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,55 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: 55:[24, 12, 57], Operations: ['23+34=57']
Exploring Operation: 24-12=12, Resulting Numbers: [57, 12]
Generated Node #0,0,0: 55:[57, 12] Operation: 24-12=12
Exploring Operation: 24+12=36, Resulting Numbers: [57, 36]
Generated Node #0,0,1: 55:[57, 36] Operation: 24+12=36
Exploring Operation: 57-24=33, Resulting Numbers: [12, 33]
Generated Node #0,0,2: 55:[12, 33] Operation: 57-24=33
Exploring Operation: 24/12=2, Resulting Numbers: [57, 2]
Generated Node #0,0,3: 55:[57, 2] Operation: 24/12=2
Exploring Operation: 57-12=45, Resulting Numbers: [24, 45]
Generated Node #0,0,4: 55:[24, 45] Operation: 57-12=45
Moving to Node #0,0,0
Current State: 55:[57, 12], Operations: ['23+34=57', '24-12=12']
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,55 unequal: No Solution
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 57*12=684, Resulting Numbers: [684]
684,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[57, 2], Operations: ['23+34=57', '24/12=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[23, 24, 12, 34], Operations: []
Exploring Operation: 23+34=57, Resulting Numbers: [24, 12, 57]
Generated Node #0,0: 55:[24, 12, 57] Operation: 23+34=57
Moving to Node #0,0
Current State: 55:[24, 12, 57], Operations: ['23+34=57']
Exploring Operation: 24/12=2, Resulting Numbers: [57, 2]
Generated Node #0,0,3: 55:[57, 2] Operation: 24/12=2
Moving to Node #0,0,3
Current State: 55:[57, 2], Operations: ['23+34=57', '24/12=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_5 | mult_heuristic |
[
66,
31,
95,
91
] | 46 | [
"31*95=2945",
"91+2945=3036",
"3036/66=46"
] | Current State: 46:[66, 31, 95, 91], Operations: []
Exploring Operation: 31*95=2945, Resulting Numbers: [66, 91, 2945]
Generated Node #2: [66, 91, 2945] from Operation: 31*95=2945
Current State: 46:[66, 91, 2945], Operations: ['31*95=2945']
Exploring Operation: 91+2945=3036, Resulting Numbers: [66, 3036]
Generated Node #3: [66, 3036] from Operation: 91+2945=3036
Current State: 46:[66, 3036], Operations: ['31*95=2945', '91+2945=3036']
Exploring Operation: 3036/66=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[66, 31, 95, 91], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [66, 31, 4]
Generated Node #0,0: 46:[66, 31, 4] Operation: 95-91=4
Exploring Operation: 95-66=29, Resulting Numbers: [31, 91, 29]
Generated Node #0,1: 46:[31, 91, 29] Operation: 95-66=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[66, 31, 4], Operations: ['95-91=4']
Exploring Operation: 66-31=35, Resulting Numbers: [4, 35]
Generated Node #0,0,0: 46:[4, 35] Operation: 66-31=35
Exploring Operation: 66-4=62, Resulting Numbers: [31, 62]
Generated Node #0,0,1: 46:[31, 62] Operation: 66-4=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[4, 35], Operations: ['95-91=4', '66-31=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,46 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: 46:[31, 62], Operations: ['95-91=4', '66-4=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,46 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: 46:[31, 91, 29], Operations: ['95-66=29']
Exploring Operation: 91-29=62, Resulting Numbers: [31, 62]
Generated Node #0,1,0: 46:[31, 62] Operation: 91-29=62
Exploring Operation: 91-31=60, Resulting Numbers: [29, 60]
Generated Node #0,1,1: 46:[29, 60] Operation: 91-31=60
Moving to Node #0,1,1
Current State: 46:[29, 60], Operations: ['95-66=29', '91-31=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,46 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[31, 62], Operations: ['95-66=29', '91-29=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 62/31=2, Resulting Numbers: [2]
2,46 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 |
[
28,
15,
74,
12
] | 10 | [
"15-12=3",
"28*3=84",
"84-74=10"
] | Current State: 10:[28, 15, 74, 12], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [28, 74, 3]
Generated Node #2: [28, 74, 3] from Operation: 15-12=3
Current State: 10:[28, 74, 3], Operations: ['15-12=3']
Exploring Operation: 28*3=84, Resulting Numbers: [74, 84]
Generated Node #3: [74, 84] from Operation: 28*3=84
Current State: 10:[74, 84], Operations: ['15-12=3', '28*3=84']
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[28, 15, 74, 12], Operations: []
Exploring Operation: 74-12=62, Resulting Numbers: [28, 15, 62]
Generated Node #0,0: 10:[28, 15, 62] Operation: 74-12=62
Exploring Operation: 28-15=13, Resulting Numbers: [74, 12, 13]
Generated Node #0,1: 10:[74, 12, 13] Operation: 28-15=13
Exploring Operation: 74-28=46, Resulting Numbers: [15, 12, 46]
Generated Node #0,2: 10:[15, 12, 46] Operation: 74-28=46
Exploring Operation: 74-15=59, Resulting Numbers: [28, 12, 59]
Generated Node #0,3: 10:[28, 12, 59] Operation: 74-15=59
Exploring Operation: 28-12=16, Resulting Numbers: [15, 74, 16]
Generated Node #0,4: 10:[15, 74, 16] Operation: 28-12=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[15, 12, 46], Operations: ['74-28=46']
Exploring Operation: 15+12=27, Resulting Numbers: [46, 27]
Generated Node #0,2,0: 10:[46, 27] Operation: 15+12=27
Exploring Operation: 46-15=31, Resulting Numbers: [12, 31]
Generated Node #0,2,1: 10:[12, 31] Operation: 46-15=31
Exploring Operation: 46-12=34, Resulting Numbers: [15, 34]
Generated Node #0,2,2: 10:[15, 34] Operation: 46-12=34
Exploring Operation: 15+46=61, Resulting Numbers: [12, 61]
Generated Node #0,2,3: 10:[12, 61] Operation: 15+46=61
Exploring Operation: 15-12=3, Resulting Numbers: [46, 3]
Generated Node #0,2,4: 10:[46, 3] Operation: 15-12=3
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 10:[12, 31], Operations: ['74-28=46', '46-15=31']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,10 unequal: No Solution
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,10 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: 10:[15, 34], Operations: ['74-28=46', '46-12=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,10 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,10 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: 10:[46, 3], Operations: ['74-28=46', '15-12=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,10 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,10 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: 10:[46, 27], Operations: ['74-28=46', '15+12=27']
Exploring Operation: 46*27=1242, Resulting Numbers: [1242]
1242,10 unequal: No Solution
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,10 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: 10:[12, 61], Operations: ['74-28=46', '15+46=61']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,10 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: 10:[74, 12, 13], Operations: ['28-15=13']
Exploring Operation: 74+13=87, Resulting Numbers: [12, 87]
Generated Node #0,1,0: 10:[12, 87] Operation: 74+13=87
Exploring Operation: 74+12=86, Resulting Numbers: [13, 86]
Generated Node #0,1,1: 10:[13, 86] Operation: 74+12=86
Exploring Operation: 74-12=62, Resulting Numbers: [13, 62]
Generated Node #0,1,2: 10:[13, 62] Operation: 74-12=62
Exploring Operation: 74-13=61, Resulting Numbers: [12, 61]
Generated Node #0,1,3: 10:[12, 61] Operation: 74-13=61
Exploring Operation: 13-12=1, Resulting Numbers: [74, 1]
Generated Node #0,1,4: 10:[74, 1] Operation: 13-12=1
Moving to Node #0,1,3
Current State: 10:[12, 61], Operations: ['28-15=13', '74-13=61']
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,10 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[13, 62], Operations: ['28-15=13', '74-12=62']
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 13+62=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 13*62=806, Resulting Numbers: [806]
806,10 unequal: No Solution
Moving to Node #0,1,4
Current State: 10:[74, 1], Operations: ['28-15=13', '13-12=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[12, 87], Operations: ['28-15=13', '74+13=87']
Exploring Operation: 12*87=1044, Resulting Numbers: [1044]
1044,10 unequal: No Solution
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[13, 86], Operations: ['28-15=13', '74+12=86']
Exploring Operation: 13+86=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 13*86=1118, Resulting Numbers: [1118]
1118,10 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,10 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 #0,3
Current State: 10:[28, 12, 59], Operations: ['74-15=59']
Exploring Operation: 28-12=16, Resulting Numbers: [59, 16]
Generated Node #0,3,0: 10:[59, 16] Operation: 28-12=16
Exploring Operation: 59-28=31, Resulting Numbers: [12, 31]
Generated Node #0,3,1: 10:[12, 31] Operation: 59-28=31
Exploring Operation: 28+12=40, Resulting Numbers: [59, 40]
Generated Node #0,3,2: 10:[59, 40] Operation: 28+12=40
Exploring Operation: 59-12=47, Resulting Numbers: [28, 47]
Generated Node #0,3,3: 10:[28, 47] Operation: 59-12=47
Exploring Operation: 28+59=87, Resulting Numbers: [12, 87]
Generated Node #0,3,4: 10:[12, 87] Operation: 28+59=87
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 10:[12, 31], Operations: ['74-15=59', '59-28=31']
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,10 unequal: No Solution
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,10 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: 10:[59, 16], Operations: ['74-15=59', '28-12=16']
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,10 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,10 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: 10:[28, 47], Operations: ['74-15=59', '59-12=47']
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 28*47=1316, Resulting Numbers: [1316]
1316,10 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,10 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: 10:[59, 40], Operations: ['74-15=59', '28+12=40']
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,10 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,10 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: 10:[12, 87], Operations: ['74-15=59', '28+59=87']
Exploring Operation: 12*87=1044, Resulting Numbers: [1044]
1044,10 unequal: No Solution
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,10 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: 10:[28, 15, 62], Operations: ['74-12=62']
Exploring Operation: 28+15=43, Resulting Numbers: [62, 43]
Generated Node #0,0,0: 10:[62, 43] Operation: 28+15=43
Exploring Operation: 62-28=34, Resulting Numbers: [15, 34]
Generated Node #0,0,1: 10:[15, 34] Operation: 62-28=34
Exploring Operation: 28-15=13, Resulting Numbers: [62, 13]
Generated Node #0,0,2: 10:[62, 13] Operation: 28-15=13
Exploring Operation: 28+62=90, Resulting Numbers: [15, 90]
Generated Node #0,0,3: 10:[15, 90] Operation: 28+62=90
Exploring Operation: 62-15=47, Resulting Numbers: [28, 47]
Generated Node #0,0,4: 10:[28, 47] Operation: 62-15=47
Moving to Node #0,0,1
Current State: 10:[15, 34], Operations: ['74-12=62', '62-28=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,10 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,0,4
Current State: 10:[28, 47], Operations: ['74-12=62', '62-15=47']
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Exploring Operation: 28*47=1316, Resulting Numbers: [1316]
1316,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[62, 13], Operations: ['74-12=62', '28-15=13']
Exploring Operation: 62+13=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 62*13=806, Resulting Numbers: [806]
806,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[62, 43], Operations: ['74-12=62', '28+15=43']
Exploring Operation: 62*43=2666, Resulting Numbers: [2666]
2666,10 unequal: No Solution
Exploring Operation: 62+43=105, Resulting Numbers: [105]
105,10 unequal: No Solution
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[15, 90], Operations: ['74-12=62', '28+62=90']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 15*90=1350, Resulting Numbers: [1350]
1350,10 unequal: No Solution
Exploring Operation: 15+90=105, Resulting Numbers: [105]
105,10 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,10 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 #0,4
Current State: 10:[15, 74, 16], Operations: ['28-12=16']
Exploring Operation: 74-15=59, Resulting Numbers: [16, 59]
Generated Node #0,4,0: 10:[16, 59] Operation: 74-15=59
Exploring Operation: 15+16=31, Resulting Numbers: [74, 31]
Generated Node #0,4,1: 10:[74, 31] Operation: 15+16=31
Exploring Operation: 74-16=58, Resulting Numbers: [15, 58]
Generated Node #0,4,2: 10:[15, 58] Operation: 74-16=58
Exploring Operation: 16-15=1, Resulting Numbers: [74, 1]
Generated Node #0,4,3: 10:[74, 1] Operation: 16-15=1
Exploring Operation: 15+74=89, Resulting Numbers: [16, 89]
Generated Node #0,4,4: 10:[16, 89] Operation: 15+74=89
Moving to Node #0,4,2
Current State: 10:[15, 58], Operations: ['28-12=16', '74-16=58']
Exploring Operation: 15*58=870, Resulting Numbers: [870]
870,10 unequal: No Solution
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Moving to Node #0,4,0
Current State: 10:[16, 59], Operations: ['28-12=16', '74-15=59']
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,10 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Moving to Node #0,4,3
Current State: 10:[74, 1], Operations: ['28-12=16', '16-15=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,10 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,10 unequal: No Solution
Moving to Node #0,4,1
Current State: 10:[74, 31], Operations: ['28-12=16', '15+16=31']
Exploring Operation: 74+31=105, Resulting Numbers: [105]
105,10 unequal: No Solution
Exploring Operation: 74*31=2294, Resulting Numbers: [2294]
2294,10 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,10 unequal: No Solution
Moving to Node #0,4,4
Current State: 10:[16, 89], Operations: ['28-12=16', '15+74=89']
Exploring Operation: 16*89=1424, Resulting Numbers: [1424]
1424,10 unequal: No Solution
Exploring Operation: 89-16=73, Resulting Numbers: [73]
73,10 unequal: No Solution
Exploring Operation: 16+89=105, Resulting Numbers: [105]
105,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
72,
67,
42,
16
] | 31 | [
"72-67=5",
"42-16=26",
"5+26=31"
] | Current State: 31:[72, 67, 42, 16], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [42, 16, 5]
Generated Node #2: [42, 16, 5] from Operation: 72-67=5
Current State: 31:[42, 16, 5], Operations: ['72-67=5']
Exploring Operation: 42-16=26, Resulting Numbers: [5, 26]
Generated Node #3: [5, 26] from Operation: 42-16=26
Current State: 31:[5, 26], Operations: ['72-67=5', '42-16=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[72, 67, 42, 16], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [42, 16, 5]
Generated Node #0,0: 31:[42, 16, 5] Operation: 72-67=5
Exploring Operation: 72-42=30, Resulting Numbers: [67, 16, 30]
Generated Node #0,1: 31:[67, 16, 30] Operation: 72-42=30
Exploring Operation: 67-42=25, Resulting Numbers: [72, 16, 25]
Generated Node #0,2: 31:[72, 16, 25] Operation: 67-42=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[42, 16, 5], Operations: ['72-67=5']
Exploring Operation: 42-16=26, Resulting Numbers: [5, 26]
Generated Node #0,0,0: 31:[5, 26] Operation: 42-16=26
Exploring Operation: 42-5=37, Resulting Numbers: [16, 37]
Generated Node #0,0,1: 31:[16, 37] Operation: 42-5=37
Exploring Operation: 16+5=21, Resulting Numbers: [42, 21]
Generated Node #0,0,2: 31:[42, 21] Operation: 16+5=21
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[16, 37], Operations: ['72-67=5', '42-5=37']
Exploring Operation: 16+37=53, Resulting Numbers: [53]
53,31 unequal: No Solution
Exploring Operation: 16*37=592, Resulting Numbers: [592]
592,31 unequal: No Solution
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,31 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 #0,0,2
Current State: 31:[42, 21], Operations: ['72-67=5', '16+5=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,31 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 #0,0,0
Current State: 31:[5, 26], Operations: ['72-67=5', '42-16=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,31 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[72, 67, 42, 16], Operations: []
Exploring Operation: 72-67=5, Resulting Numbers: [42, 16, 5]
Generated Node #0,0: 31:[42, 16, 5] Operation: 72-67=5
Moving to Node #0,0
Current State: 31:[42, 16, 5], Operations: ['72-67=5']
Exploring Operation: 42-16=26, Resulting Numbers: [5, 26]
Generated Node #0,0,0: 31:[5, 26] Operation: 42-16=26
Moving to Node #0,0,0
Current State: 31:[5, 26], Operations: ['72-67=5', '42-16=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
44,
44,
6,
26
] | 64 | [
"44-26=18",
"6*18=108",
"108-44=64"
] | Current State: 64:[44, 44, 6, 26], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [6, 18]
Generated Node #2: [6, 18] from Operation: 44-26=18
Current State: 64:[6, 18], Operations: ['44-26=18']
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,64 equal: Goal Reached
Exploring Operation: 108-44=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[44, 44, 6, 26], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [44, 6, 18]
Generated Node #0,0: 64:[44, 6, 18] Operation: 44-26=18
Exploring Operation: 44/44=1, Resulting Numbers: [6, 26, 1]
Generated Node #0,1: 64:[6, 26, 1] Operation: 44/44=1
Exploring Operation: 44-44=0, Resulting Numbers: [6, 26, 0]
Generated Node #0,2: 64:[6, 26, 0] Operation: 44-44=0
Moving to Node #0,1
Current State: 64:[6, 26, 1], Operations: ['44/44=1']
Exploring Operation: 26-6=20, Resulting Numbers: [1, 20]
Generated Node #0,1,0: 64:[1, 20] Operation: 26-6=20
Exploring Operation: 6+1=7, Resulting Numbers: [26, 7]
Generated Node #0,1,1: 64:[26, 7] Operation: 6+1=7
Exploring Operation: 6+26=32, Resulting Numbers: [1, 32]
Generated Node #0,1,2: 64:[1, 32] Operation: 6+26=32
Moving to Node #0,2
Current State: 64:[6, 26, 0], Operations: ['44-44=0']
Exploring Operation: 6+26=32, Resulting Numbers: [0, 32]
Generated Node #0,2,0: 64:[0, 32] Operation: 6+26=32
Exploring Operation: 26*0=0, Resulting Numbers: [6, 0]
Generated Node #0,2,1: 64:[6, 0] Operation: 26*0=0
Exploring Operation: 26-6=20, Resulting Numbers: [0, 20]
Generated Node #0,2,2: 64:[0, 20] Operation: 26-6=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[0, 32], Operations: ['44-44=0', '6+26=32']
Exploring Operation: 0+32=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 0*32=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 32-0=32, Resulting Numbers: [32]
32,64 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 #0,2,1
Current State: 64:[6, 0], Operations: ['44-44=0', '26*0=0']
Exploring Operation: 6+0=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 6-0=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 6*0=0, Resulting Numbers: [0]
0,64 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 #0,2,2
Current State: 64:[0, 20], Operations: ['44-44=0', '26-6=20']
Exploring Operation: 0+20=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 0*20=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,64 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: 64:[44, 6, 18], Operations: ['44-26=18']
Exploring Operation: 44-18=26, Resulting Numbers: [6, 26]
Generated Node #0,0,0: 64:[6, 26] Operation: 44-18=26
Exploring Operation: 44+18=62, Resulting Numbers: [6, 62]
Generated Node #0,0,1: 64:[6, 62] Operation: 44+18=62
Exploring Operation: 44-6=38, Resulting Numbers: [18, 38]
Generated Node #0,0,2: 64:[18, 38] Operation: 44-6=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[6, 62], Operations: ['44-26=18', '44+18=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,64 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,64 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,64 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 #0,0,0
Current State: 64:[6, 26], Operations: ['44-26=18', '44-18=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,64 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 #0,0,2
Current State: 64:[18, 38], Operations: ['44-26=18', '44-6=38']
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,64 unequal: No Solution
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 64:[1, 32], Operations: ['44/44=1', '6+26=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[1, 20], Operations: ['44/44=1', '26-6=20']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[26, 7], Operations: ['44/44=1', '6+1=7']
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,64 unequal: No Solution
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,64 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
9,
92,
1,
1
] | 83 | [
"92-9=83",
"1*1=1",
"83*1=83"
] | Current State: 83:[9, 92, 1, 1], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [1, 1, 83]
Generated Node #2: [1, 1, 83] from Operation: 92-9=83
Current State: 83:[1, 1, 83], Operations: ['92-9=83']
Exploring Operation: 1*1=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 1*1=1
Current State: 83:[83, 1], Operations: ['92-9=83', '1*1=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[9, 92, 1, 1], Operations: []
Exploring Operation: 9+1=10, Resulting Numbers: [92, 1, 10]
Generated Node #0,0: 83:[92, 1, 10] Operation: 9+1=10
Exploring Operation: 92-9=83, Resulting Numbers: [1, 1, 83]
Generated Node #0,1: 83:[1, 1, 83] Operation: 92-9=83
Moving to Node #0,0
Current State: 83:[92, 1, 10], Operations: ['9+1=10']
Exploring Operation: 92-1=91, Resulting Numbers: [10, 91]
Generated Node #0,0,0: 83:[10, 91] Operation: 92-1=91
Exploring Operation: 1+10=11, Resulting Numbers: [92, 11]
Generated Node #0,0,1: 83:[92, 11] Operation: 1+10=11
Moving to Node #0,1
Current State: 83:[1, 1, 83], Operations: ['92-9=83']
Exploring Operation: 1*1=1, Resulting Numbers: [83, 1]
Generated Node #0,1,0: 83:[83, 1] Operation: 1*1=1
Exploring Operation: 1+1=2, Resulting Numbers: [83, 2]
Generated Node #0,1,1: 83:[83, 2] Operation: 1+1=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[83, 2], Operations: ['92-9=83', '1+1=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,83 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,83 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 #0,1,0
Current State: 83:[83, 1], Operations: ['92-9=83', '1*1=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[9, 92, 1, 1], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [1, 1, 83]
Generated Node #0,1: 83:[1, 1, 83] Operation: 92-9=83
Moving to Node #0,1
Current State: 83:[1, 1, 83], Operations: ['92-9=83']
Exploring Operation: 1*1=1, Resulting Numbers: [83, 1]
Generated Node #0,1,0: 83:[83, 1] Operation: 1*1=1
Moving to Node #0,1,0
Current State: 83:[83, 1], Operations: ['92-9=83', '1*1=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_2 | sum_heuristic |
[
82,
18,
21,
66
] | 90 | [
"82*18=1476",
"21*66=1386",
"1476-1386=90"
] | Current State: 90:[82, 18, 21, 66], Operations: []
Exploring Operation: 82*18=1476, Resulting Numbers: [21, 66, 1476]
Generated Node #2: [21, 66, 1476] from Operation: 82*18=1476
Current State: 90:[21, 66, 1476], Operations: ['82*18=1476']
Exploring Operation: 21*66=1386, Resulting Numbers: [1476, 1386]
Generated Node #3: [1476, 1386] from Operation: 21*66=1386
Current State: 90:[1476, 1386], Operations: ['82*18=1476', '21*66=1386']
Exploring Operation: 1476-1386=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[82, 18, 21, 66], Operations: []
Exploring Operation: 82-66=16, Resulting Numbers: [18, 21, 16]
Generated Node #0,0: 90:[18, 21, 16] Operation: 82-66=16
Exploring Operation: 66-21=45, Resulting Numbers: [82, 18, 45]
Generated Node #0,1: 90:[82, 18, 45] Operation: 66-21=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[18, 21, 16], Operations: ['82-66=16']
Exploring Operation: 21-16=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 90:[18, 5] Operation: 21-16=5
Exploring Operation: 21-18=3, Resulting Numbers: [16, 3]
Generated Node #0,0,1: 90:[16, 3] Operation: 21-18=3
Moving to Node #0,0,0
Current State: 90:[18, 5], Operations: ['82-66=16', '21-16=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[82, 18, 21, 66], Operations: []
Exploring Operation: 82-66=16, Resulting Numbers: [18, 21, 16]
Generated Node #0,0: 90:[18, 21, 16] Operation: 82-66=16
Moving to Node #0,0
Current State: 90:[18, 21, 16], Operations: ['82-66=16']
Exploring Operation: 21-16=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 90:[18, 5] Operation: 21-16=5
Moving to Node #0,0,0
Current State: 90:[18, 5], Operations: ['82-66=16', '21-16=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
9,
52,
4,
36
] | 53 | [
"9*4=36",
"36/36=1",
"52+1=53"
] | Current State: 53:[9, 52, 4, 36], Operations: []
Exploring Operation: 9*4=36, Resulting Numbers: [52, 36, 36]
Generated Node #2: [52, 36, 36] from Operation: 9*4=36
Current State: 53:[52, 36, 36], Operations: ['9*4=36']
Exploring Operation: 36/36=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 36/36=1
Current State: 53:[52, 1], Operations: ['9*4=36', '36/36=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[9, 52, 4, 36], Operations: []
Exploring Operation: 9*4=36, Resulting Numbers: [52, 36, 36]
Generated Node #0,0: 53:[52, 36, 36] Operation: 9*4=36
Exploring Operation: 9+4=13, Resulting Numbers: [52, 36, 13]
Generated Node #0,1: 53:[52, 36, 13] Operation: 9+4=13
Exploring Operation: 9+36=45, Resulting Numbers: [52, 4, 45]
Generated Node #0,2: 53:[52, 4, 45] Operation: 9+36=45
Moving to Node #0,0
Current State: 53:[52, 36, 36], Operations: ['9*4=36']
Exploring Operation: 52+36=88, Resulting Numbers: [36, 88]
Generated Node #0,0,0: 53:[36, 88] Operation: 52+36=88
Exploring Operation: 52+36=88, Resulting Numbers: [36, 88]
Generated Node #0,0,1: 53:[36, 88] Operation: 52+36=88
Exploring Operation: 36+36=72, Resulting Numbers: [52, 72]
Generated Node #0,0,2: 53:[52, 72] Operation: 36+36=72
Moving to Node #0,1
Current State: 53:[52, 36, 13], Operations: ['9+4=13']
Exploring Operation: 52-13=39, Resulting Numbers: [36, 39]
Generated Node #0,1,0: 53:[36, 39] Operation: 52-13=39
Exploring Operation: 52+13=65, Resulting Numbers: [36, 65]
Generated Node #0,1,1: 53:[36, 65] Operation: 52+13=65
Exploring Operation: 36+13=49, Resulting Numbers: [52, 49]
Generated Node #0,1,2: 53:[52, 49] Operation: 36+13=49
Moving to Node #0,2
Current State: 53:[52, 4, 45], Operations: ['9+36=45']
Exploring Operation: 52-4=48, Resulting Numbers: [45, 48]
Generated Node #0,2,0: 53:[45, 48] Operation: 52-4=48
Exploring Operation: 52+4=56, Resulting Numbers: [45, 56]
Generated Node #0,2,1: 53:[45, 56] Operation: 52+4=56
Exploring Operation: 4+45=49, Resulting Numbers: [52, 49]
Generated Node #0,2,2: 53:[52, 49] Operation: 4+45=49
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[52, 49], Operations: ['9+36=45', '4+45=49']
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,53 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 #0,2,1
Current State: 53:[45, 56], Operations: ['9+36=45', '52+4=56']
Exploring Operation: 56-45=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 45+56=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 45*56=2520, Resulting Numbers: [2520]
2520,53 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 #0,2,0
Current State: 53:[45, 48], Operations: ['9+36=45', '52-4=48']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,53 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 53:[52, 49], Operations: ['9+4=13', '36+13=49']
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,53 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[52, 72], Operations: ['9*4=36', '36+36=72']
Exploring Operation: 52*72=3744, Resulting Numbers: [3744]
3744,53 unequal: No Solution
Exploring Operation: 52+72=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[36, 65], Operations: ['9+4=13', '52+13=65']
Exploring Operation: 36*65=2340, Resulting Numbers: [2340]
2340,53 unequal: No Solution
Exploring Operation: 65-36=29, Resulting Numbers: [29]
29,53 unequal: No Solution
Exploring Operation: 36+65=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[36, 39], Operations: ['9+4=13', '52-13=39']
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 36*39=1404, Resulting Numbers: [1404]
1404,53 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[36, 88], Operations: ['9*4=36', '52+36=88']
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,53 unequal: No Solution
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[36, 88], Operations: ['9*4=36', '52+36=88']
Exploring Operation: 36+88=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 36*88=3168, Resulting Numbers: [3168]
3168,53 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,53 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
16,
92,
23,
5
] | 69 | [
"16*92=1472",
"1472/23=64",
"5+64=69"
] | Current State: 69:[16, 92, 23, 5], Operations: []
Exploring Operation: 16*92=1472, Resulting Numbers: [23, 5, 1472]
Generated Node #2: [23, 5, 1472] from Operation: 16*92=1472
Current State: 69:[23, 5, 1472], Operations: ['16*92=1472']
Exploring Operation: 1472/23=64, Resulting Numbers: [5, 64]
Generated Node #3: [5, 64] from Operation: 1472/23=64
Current State: 69:[5, 64], Operations: ['16*92=1472', '1472/23=64']
Exploring Operation: 5+64=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[16, 92, 23, 5], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [16, 5, 4]
Generated Node #0,0: 69:[16, 5, 4] Operation: 92/23=4
Exploring Operation: 92-23=69, Resulting Numbers: [16, 5, 69]
Generated Node #0,1: 69:[16, 5, 69] Operation: 92-23=69
Exploring Operation: 92-16=76, Resulting Numbers: [23, 5, 76]
Generated Node #0,2: 69:[23, 5, 76] Operation: 92-16=76
Moving to Node #0,1
Current State: 69:[16, 5, 69], Operations: ['92-23=69']
Exploring Operation: 16*5=80, Resulting Numbers: [69, 80]
Generated Node #0,1,0: 69:[69, 80] Operation: 16*5=80
Exploring Operation: 16+5=21, Resulting Numbers: [69, 21]
Generated Node #0,1,1: 69:[69, 21] Operation: 16+5=21
Exploring Operation: 16-5=11, Resulting Numbers: [69, 11]
Generated Node #0,1,2: 69:[69, 11] Operation: 16-5=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 69:[69, 21], Operations: ['92-23=69', '16+5=21']
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,69 unequal: No Solution
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,69 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,69 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: 69:[69, 11], Operations: ['92-23=69', '16-5=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,69 unequal: No Solution
Exploring Operation: 69*11=759, Resulting Numbers: [759]
759,69 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: 69:[69, 80], Operations: ['92-23=69', '16*5=80']
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,69 unequal: No Solution
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,69 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,69 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: 69:[23, 5, 76], Operations: ['92-16=76']
Exploring Operation: 76-5=71, Resulting Numbers: [23, 71]
Generated Node #0,2,0: 69:[23, 71] Operation: 76-5=71
Exploring Operation: 23-5=18, Resulting Numbers: [76, 18]
Generated Node #0,2,1: 69:[76, 18] Operation: 23-5=18
Exploring Operation: 23+5=28, Resulting Numbers: [76, 28]
Generated Node #0,2,2: 69:[76, 28] Operation: 23+5=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[23, 71], Operations: ['92-16=76', '76-5=71']
Exploring Operation: 23+71=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,69 unequal: No Solution
Exploring Operation: 23*71=1633, Resulting Numbers: [1633]
1633,69 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: 69:[76, 18], Operations: ['92-16=76', '23-5=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,69 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,69 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: 69:[76, 28], Operations: ['92-16=76', '23+5=28']
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,69 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,69 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,69 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: 69:[16, 5, 4], Operations: ['92/23=4']
Exploring Operation: 16/4=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 69:[5, 4] Operation: 16/4=4
Exploring Operation: 16+5=21, Resulting Numbers: [4, 21]
Generated Node #0,0,1: 69:[4, 21] Operation: 16+5=21
Exploring Operation: 16+4=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 69:[5, 20] Operation: 16+4=20
Moving to Node #0,0,0
Current State: 69:[5, 4], Operations: ['92/23=4', '16/4=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,69 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[4, 21], Operations: ['92/23=4', '16+5=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[5, 20], Operations: ['92/23=4', '16+4=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,69 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
82,
77,
81,
72
] | 14 | [
"82-77=5",
"81-72=9",
"5+9=14"
] | Current State: 14:[82, 77, 81, 72], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [81, 72, 5]
Generated Node #2: [81, 72, 5] from Operation: 82-77=5
Current State: 14:[81, 72, 5], Operations: ['82-77=5']
Exploring Operation: 81-72=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 81-72=9
Current State: 14:[5, 9], Operations: ['82-77=5', '81-72=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[82, 77, 81, 72], Operations: []
Exploring Operation: 82-81=1, Resulting Numbers: [77, 72, 1]
Generated Node #0,0: 14:[77, 72, 1] Operation: 82-81=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[77, 72, 1], Operations: ['82-81=1']
Exploring Operation: 77-72=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 14:[1, 5] Operation: 77-72=5
Moving to Node #0,0,0
Current State: 14:[1, 5], Operations: ['82-81=1', '77-72=5']
Exploring Operation: 1+5=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 |
[
70,
56,
22,
98
] | 18 | [
"70*56=3920",
"3920/98=40",
"40-22=18"
] | Current State: 18:[70, 56, 22, 98], Operations: []
Exploring Operation: 70*56=3920, Resulting Numbers: [22, 98, 3920]
Generated Node #2: [22, 98, 3920] from Operation: 70*56=3920
Current State: 18:[22, 98, 3920], Operations: ['70*56=3920']
Exploring Operation: 3920/98=40, Resulting Numbers: [22, 40]
Generated Node #3: [22, 40] from Operation: 3920/98=40
Current State: 18:[22, 40], Operations: ['70*56=3920', '3920/98=40']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[70, 56, 22, 98], Operations: []
Exploring Operation: 70-22=48, Resulting Numbers: [56, 98, 48]
Generated Node #0,0: 18:[56, 98, 48] Operation: 70-22=48
Exploring Operation: 98-56=42, Resulting Numbers: [70, 22, 42]
Generated Node #0,1: 18:[70, 22, 42] Operation: 98-56=42
Exploring Operation: 70-56=14, Resulting Numbers: [22, 98, 14]
Generated Node #0,2: 18:[22, 98, 14] Operation: 70-56=14
Exploring Operation: 98-70=28, Resulting Numbers: [56, 22, 28]
Generated Node #0,3: 18:[56, 22, 28] Operation: 98-70=28
Moving to Node #0,3
Current State: 18:[56, 22, 28], Operations: ['98-70=28']
Exploring Operation: 56/28=2, Resulting Numbers: [22, 2]
Generated Node #0,3,0: 18:[22, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [22, 28]
Generated Node #0,3,1: 18:[22, 28] Operation: 56-28=28
Exploring Operation: 28-22=6, Resulting Numbers: [56, 6]
Generated Node #0,3,2: 18:[56, 6] Operation: 28-22=6
Exploring Operation: 56-22=34, Resulting Numbers: [28, 34]
Generated Node #0,3,3: 18:[28, 34] Operation: 56-22=34
Moving to Node #0,1
Current State: 18:[70, 22, 42], Operations: ['98-56=42']
Exploring Operation: 42-22=20, Resulting Numbers: [70, 20]
Generated Node #0,1,0: 18:[70, 20] Operation: 42-22=20
Exploring Operation: 70+22=92, Resulting Numbers: [42, 92]
Generated Node #0,1,1: 18:[42, 92] Operation: 70+22=92
Exploring Operation: 70-42=28, Resulting Numbers: [22, 28]
Generated Node #0,1,2: 18:[22, 28] Operation: 70-42=28
Exploring Operation: 70-22=48, Resulting Numbers: [42, 48]
Generated Node #0,1,3: 18:[42, 48] Operation: 70-22=48
Moving to Node #0,2
Current State: 18:[22, 98, 14], Operations: ['70-56=14']
Exploring Operation: 22-14=8, Resulting Numbers: [98, 8]
Generated Node #0,2,0: 18:[98, 8] Operation: 22-14=8
Exploring Operation: 98-14=84, Resulting Numbers: [22, 84]
Generated Node #0,2,1: 18:[22, 84] Operation: 98-14=84
Exploring Operation: 98-22=76, Resulting Numbers: [14, 76]
Generated Node #0,2,2: 18:[14, 76] Operation: 98-22=76
Exploring Operation: 98/14=7, Resulting Numbers: [22, 7]
Generated Node #0,2,3: 18:[22, 7] Operation: 98/14=7
Moving to Node #0,0
Current State: 18:[56, 98, 48], Operations: ['70-22=48']
Exploring Operation: 98-56=42, Resulting Numbers: [48, 42]
Generated Node #0,0,0: 18:[48, 42] Operation: 98-56=42
Exploring Operation: 56-48=8, Resulting Numbers: [98, 8]
Generated Node #0,0,1: 18:[98, 8] Operation: 56-48=8
Exploring Operation: 56+98=154, Resulting Numbers: [48, 154]
Generated Node #0,0,2: 18:[48, 154] Operation: 56+98=154
Exploring Operation: 98-48=50, Resulting Numbers: [56, 50]
Generated Node #0,0,3: 18:[56, 50] Operation: 98-48=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[48, 42], Operations: ['70-22=48', '98-56=42']
Exploring Operation: 48*42=2016, Resulting Numbers: [2016]
2016,18 unequal: No Solution
Exploring Operation: 48+42=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,18 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: 18:[56, 50], Operations: ['70-22=48', '98-48=50']
Exploring Operation: 56*50=2800, Resulting Numbers: [2800]
2800,18 unequal: No Solution
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 56+50=106, Resulting Numbers: [106]
106,18 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: 18:[98, 8], Operations: ['70-22=48', '56-48=8']
Exploring Operation: 98+8=106, Resulting Numbers: [106]
106,18 unequal: No Solution
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 98*8=784, Resulting Numbers: [784]
784,18 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: 18:[48, 154], Operations: ['70-22=48', '56+98=154']
Exploring Operation: 48+154=202, Resulting Numbers: [202]
202,18 unequal: No Solution
Exploring Operation: 48*154=7392, Resulting Numbers: [7392]
7392,18 unequal: No Solution
Exploring Operation: 154-48=106, Resulting Numbers: [106]
106,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 18:[22, 2], Operations: ['98-70=28', '56/28=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,18 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,18 unequal: No Solution
Moving to Node #0,2,3
Current State: 18:[22, 7], Operations: ['70-56=14', '98/14=7']
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,18 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,18 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[22, 28], Operations: ['98-56=42', '70-42=28']
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,18 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[22, 28], Operations: ['98-70=28', '56-28=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[28, 34], Operations: ['98-70=28', '56-22=34']
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 28*34=952, Resulting Numbers: [952]
952,18 unequal: No Solution
Moving to Node #0,3,2
Current State: 18:[56, 6], Operations: ['98-70=28', '28-22=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,18 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[42, 48], Operations: ['98-56=42', '70-22=48']
Exploring Operation: 48-42=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 42*48=2016, Resulting Numbers: [2016]
2016,18 unequal: No Solution
Exploring Operation: 42+48=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[70, 20], Operations: ['98-56=42', '42-22=20']
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,18 unequal: No Solution
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[14, 76], Operations: ['70-56=14', '98-22=76']
Exploring Operation: 14*76=1064, Resulting Numbers: [1064]
1064,18 unequal: No Solution
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[22, 84], Operations: ['70-56=14', '98-14=84']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,18 unequal: No Solution
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,18 unequal: No Solution
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[98, 8], Operations: ['70-56=14', '22-14=8']
Exploring Operation: 98*8=784, Resulting Numbers: [784]
784,18 unequal: No Solution
Exploring Operation: 98+8=106, Resulting Numbers: [106]
106,18 unequal: No Solution
Exploring Operation: 98-8=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[42, 92], Operations: ['98-56=42', '70+22=92']
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 42*92=3864, Resulting Numbers: [3864]
3864,18 unequal: No Solution
Exploring Operation: 42+92=134, Resulting Numbers: [134]
134,18 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
47,
31,
87,
54
] | 28 | [
"87+54=141",
"141/47=3",
"31-3=28"
] | Current State: 28:[47, 31, 87, 54], Operations: []
Exploring Operation: 87+54=141, Resulting Numbers: [47, 31, 141]
Generated Node #2: [47, 31, 141] from Operation: 87+54=141
Current State: 28:[47, 31, 141], Operations: ['87+54=141']
Exploring Operation: 141/47=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 141/47=3
Current State: 28:[31, 3], Operations: ['87+54=141', '141/47=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[47, 31, 87, 54], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [47, 31, 33]
Generated Node #0,0: 28:[47, 31, 33] Operation: 87-54=33
Exploring Operation: 87-47=40, Resulting Numbers: [31, 54, 40]
Generated Node #0,1: 28:[31, 54, 40] Operation: 87-47=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[47, 31, 33], Operations: ['87-54=33']
Exploring Operation: 47-31=16, Resulting Numbers: [33, 16]
Generated Node #0,0,0: 28:[33, 16] Operation: 47-31=16
Exploring Operation: 47-33=14, Resulting Numbers: [31, 14]
Generated Node #0,0,1: 28:[31, 14] Operation: 47-33=14
Moving to Node #0,0,1
Current State: 28:[31, 14], Operations: ['87-54=33', '47-33=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[33, 16], Operations: ['87-54=33', '47-31=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,28 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:[31, 54, 40], Operations: ['87-47=40']
Exploring Operation: 54-31=23, Resulting Numbers: [40, 23]
Generated Node #0,1,0: 28:[40, 23] Operation: 54-31=23
Exploring Operation: 54-40=14, Resulting Numbers: [31, 14]
Generated Node #0,1,1: 28:[31, 14] Operation: 54-40=14
Moving to Node #0,1,1
Current State: 28:[31, 14], Operations: ['87-47=40', '54-40=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[40, 23], Operations: ['87-47=40', '54-31=23']
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,28 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 |
[
68,
35,
5,
22
] | 53 | [
"68+22=90",
"90/5=18",
"35+18=53"
] | Current State: 53:[68, 35, 5, 22], Operations: []
Exploring Operation: 68+22=90, Resulting Numbers: [35, 5, 90]
Generated Node #2: [35, 5, 90] from Operation: 68+22=90
Current State: 53:[35, 5, 90], Operations: ['68+22=90']
Exploring Operation: 90/5=18, Resulting Numbers: [35, 18]
Generated Node #3: [35, 18] from Operation: 90/5=18
Current State: 53:[35, 18], Operations: ['68+22=90', '90/5=18']
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[68, 35, 5, 22], Operations: []
Exploring Operation: 35+22=57, Resulting Numbers: [68, 5, 57]
Generated Node #0,0: 53:[68, 5, 57] Operation: 35+22=57
Exploring Operation: 68-5=63, Resulting Numbers: [35, 22, 63]
Generated Node #0,1: 53:[35, 22, 63] Operation: 68-5=63
Exploring Operation: 5+22=27, Resulting Numbers: [68, 35, 27]
Generated Node #0,2: 53:[68, 35, 27] Operation: 5+22=27
Exploring Operation: 35+5=40, Resulting Numbers: [68, 22, 40]
Generated Node #0,3: 53:[68, 22, 40] Operation: 35+5=40
Exploring Operation: 68+5=73, Resulting Numbers: [35, 22, 73]
Generated Node #0,4: 53:[35, 22, 73] Operation: 68+5=73
Moving to Node #0,1
Current State: 53:[35, 22, 63], Operations: ['68-5=63']
Exploring Operation: 63-35=28, Resulting Numbers: [22, 28]
Generated Node #0,1,0: 53:[22, 28] Operation: 63-35=28
Exploring Operation: 63-22=41, Resulting Numbers: [35, 41]
Generated Node #0,1,1: 53:[35, 41] Operation: 63-22=41
Exploring Operation: 35+22=57, Resulting Numbers: [63, 57]
Generated Node #0,1,2: 53:[63, 57] Operation: 35+22=57
Exploring Operation: 35-22=13, Resulting Numbers: [63, 13]
Generated Node #0,1,3: 53:[63, 13] Operation: 35-22=13
Exploring Operation: 22+63=85, Resulting Numbers: [35, 85]
Generated Node #0,1,4: 53:[35, 85] Operation: 22+63=85
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[63, 57], Operations: ['68-5=63', '35+22=57']
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 63*57=3591, Resulting Numbers: [3591]
3591,53 unequal: No Solution
Exploring Operation: 63+57=120, Resulting Numbers: [120]
120,53 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 #0,1,1
Current State: 53:[35, 41], Operations: ['68-5=63', '63-22=41']
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,53 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,53 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 #0,1,3
Current State: 53:[63, 13], Operations: ['68-5=63', '35-22=13']
Exploring Operation: 63*13=819, Resulting Numbers: [819]
819,53 unequal: No Solution
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,53 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 #0,1,4
Current State: 53:[35, 85], Operations: ['68-5=63', '22+63=85']
Exploring Operation: 35+85=120, Resulting Numbers: [120]
120,53 unequal: No Solution
Exploring Operation: 35*85=2975, Resulting Numbers: [2975]
2975,53 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,53 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 #0,1,0
Current State: 53:[22, 28], Operations: ['68-5=63', '63-35=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,53 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: 53:[68, 22, 40], Operations: ['35+5=40']
Exploring Operation: 68+22=90, Resulting Numbers: [40, 90]
Generated Node #0,3,0: 53:[40, 90] Operation: 68+22=90
Exploring Operation: 40-22=18, Resulting Numbers: [68, 18]
Generated Node #0,3,1: 53:[68, 18] Operation: 40-22=18
Exploring Operation: 22+40=62, Resulting Numbers: [68, 62]
Generated Node #0,3,2: 53:[68, 62] Operation: 22+40=62
Exploring Operation: 68-40=28, Resulting Numbers: [22, 28]
Generated Node #0,3,3: 53:[22, 28] Operation: 68-40=28
Exploring Operation: 68-22=46, Resulting Numbers: [40, 46]
Generated Node #0,3,4: 53:[40, 46] Operation: 68-22=46
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 53:[40, 46], Operations: ['35+5=40', '68-22=46']
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 40*46=1840, Resulting Numbers: [1840]
1840,53 unequal: No Solution
Exploring Operation: 40+46=86, Resulting Numbers: [86]
86,53 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 #0,3,2
Current State: 53:[68, 62], Operations: ['35+5=40', '22+40=62']
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,53 unequal: No Solution
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,53 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 #0,3,0
Current State: 53:[40, 90], Operations: ['35+5=40', '68+22=90']
Exploring Operation: 90-40=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Exploring Operation: 40+90=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 40*90=3600, Resulting Numbers: [3600]
3600,53 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 #0,3,1
Current State: 53:[68, 18], Operations: ['35+5=40', '40-22=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,53 unequal: No Solution
Exploring Operation: 68*18=1224, Resulting Numbers: [1224]
1224,53 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,53 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 #0,3,3
Current State: 53:[22, 28], Operations: ['35+5=40', '68-40=28']
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,53 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,53 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: 53:[68, 35, 27], Operations: ['5+22=27']
Exploring Operation: 35+27=62, Resulting Numbers: [68, 62]
Generated Node #0,2,0: 53:[68, 62] Operation: 35+27=62
Exploring Operation: 68-35=33, Resulting Numbers: [27, 33]
Generated Node #0,2,1: 53:[27, 33] Operation: 68-35=33
Exploring Operation: 35-27=8, Resulting Numbers: [68, 8]
Generated Node #0,2,2: 53:[68, 8] Operation: 35-27=8
Exploring Operation: 68-27=41, Resulting Numbers: [35, 41]
Generated Node #0,2,3: 53:[35, 41] Operation: 68-27=41
Exploring Operation: 68+27=95, Resulting Numbers: [35, 95]
Generated Node #0,2,4: 53:[35, 95] Operation: 68+27=95
Moving to Node #0,0
Current State: 53:[68, 5, 57], Operations: ['35+22=57']
Exploring Operation: 68-57=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 53:[5, 11] Operation: 68-57=11
Exploring Operation: 57-5=52, Resulting Numbers: [68, 52]
Generated Node #0,0,1: 53:[68, 52] Operation: 57-5=52
Exploring Operation: 68-5=63, Resulting Numbers: [57, 63]
Generated Node #0,0,2: 53:[57, 63] Operation: 68-5=63
Exploring Operation: 68+5=73, Resulting Numbers: [57, 73]
Generated Node #0,0,3: 53:[57, 73] Operation: 68+5=73
Exploring Operation: 5+57=62, Resulting Numbers: [68, 62]
Generated Node #0,0,4: 53:[68, 62] Operation: 5+57=62
Moving to Node #0,4
Current State: 53:[35, 22, 73], Operations: ['68+5=73']
Exploring Operation: 35-22=13, Resulting Numbers: [73, 13]
Generated Node #0,4,0: 53:[73, 13] Operation: 35-22=13
Exploring Operation: 73-22=51, Resulting Numbers: [35, 51]
Generated Node #0,4,1: 53:[35, 51] Operation: 73-22=51
Exploring Operation: 73-35=38, Resulting Numbers: [22, 38]
Generated Node #0,4,2: 53:[22, 38] Operation: 73-35=38
Exploring Operation: 35+22=57, Resulting Numbers: [73, 57]
Generated Node #0,4,3: 53:[73, 57] Operation: 35+22=57
Exploring Operation: 22+73=95, Resulting Numbers: [35, 95]
Generated Node #0,4,4: 53:[35, 95] Operation: 22+73=95
Moving to Node #0,0,2
Current State: 53:[57, 63], Operations: ['35+22=57', '68-5=63']
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,53 unequal: No Solution
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,53 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[68, 52], Operations: ['35+22=57', '57-5=52']
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,53 unequal: No Solution
Exploring Operation: 68+52=120, Resulting Numbers: [120]
120,53 unequal: No Solution
Exploring Operation: 68*52=3536, Resulting Numbers: [3536]
3536,53 unequal: No Solution
Moving to Node #0,4,1
Current State: 53:[35, 51], Operations: ['68+5=73', '73-22=51']
Exploring Operation: 35+51=86, Resulting Numbers: [86]
86,53 unequal: No Solution
Exploring Operation: 51-35=16, Resulting Numbers: [16]
16,53 unequal: No Solution
Exploring Operation: 35*51=1785, Resulting Numbers: [1785]
1785,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[68, 62], Operations: ['5+22=27', '35+27=62']
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,53 unequal: No Solution
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Moving to Node #0,4,3
Current State: 53:[73, 57], Operations: ['68+5=73', '35+22=57']
Exploring Operation: 73*57=4161, Resulting Numbers: [4161]
4161,53 unequal: No Solution
Exploring Operation: 73-57=16, Resulting Numbers: [16]
16,53 unequal: No Solution
Exploring Operation: 73+57=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[57, 73], Operations: ['35+22=57', '68+5=73']
Exploring Operation: 57+73=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 57*73=4161, Resulting Numbers: [4161]
4161,53 unequal: No Solution
Exploring Operation: 73-57=16, Resulting Numbers: [16]
16,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[68, 62], Operations: ['35+22=57', '5+57=62']
Exploring Operation: 68*62=4216, Resulting Numbers: [4216]
4216,53 unequal: No Solution
Exploring Operation: 68-62=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 68+62=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[35, 41], Operations: ['5+22=27', '68-27=41']
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[27, 33], Operations: ['5+22=27', '68-35=33']
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 27*33=891, Resulting Numbers: [891]
891,53 unequal: No Solution
Moving to Node #0,4,2
Current State: 53:[22, 38], Operations: ['68+5=73', '73-35=38']
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,53 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[68, 8], Operations: ['5+22=27', '35-27=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,53 unequal: No Solution
Exploring Operation: 68*8=544, Resulting Numbers: [544]
544,53 unequal: No Solution
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Moving to Node #0,4,0
Current State: 53:[73, 13], Operations: ['68+5=73', '35-22=13']
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,53 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 73*13=949, Resulting Numbers: [949]
949,53 unequal: No Solution
Moving to Node #0,2,4
Current State: 53:[35, 95], Operations: ['5+22=27', '68+27=95']
Exploring Operation: 35+95=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 35*95=3325, Resulting Numbers: [3325]
3325,53 unequal: No Solution
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Moving to Node #0,4,4
Current State: 53:[35, 95], Operations: ['68+5=73', '22+73=95']
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 35+95=130, Resulting Numbers: [130]
130,53 unequal: No Solution
Exploring Operation: 35*95=3325, Resulting Numbers: [3325]
3325,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[5, 11], Operations: ['35+22=57', '68-57=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,53 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,53 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,53 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
66,
15,
65,
54
] | 90 | [
"66*15=990",
"65-54=11",
"990/11=90"
] | Current State: 90:[66, 15, 65, 54], Operations: []
Exploring Operation: 66*15=990, Resulting Numbers: [65, 54, 990]
Generated Node #2: [65, 54, 990] from Operation: 66*15=990
Current State: 90:[65, 54, 990], Operations: ['66*15=990']
Exploring Operation: 65-54=11, Resulting Numbers: [990, 11]
Generated Node #3: [990, 11] from Operation: 65-54=11
Current State: 90:[990, 11], Operations: ['66*15=990', '65-54=11']
Exploring Operation: 990/11=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[66, 15, 65, 54], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [15, 54, 1]
Generated Node #0,0: 90:[15, 54, 1] Operation: 66-65=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[15, 54, 1], Operations: ['66-65=1']
Exploring Operation: 54-15=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 90:[1, 39] Operation: 54-15=39
Moving to Node #0,0,0
Current State: 90:[1, 39], Operations: ['66-65=1', '54-15=39']
Exploring Operation: 1+39=40, Resulting Numbers: [40]
40,90 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 |
[
2,
70,
86,
92
] | 62 | [
"70-2=68",
"92-86=6",
"68-6=62"
] | Current State: 62:[2, 70, 86, 92], Operations: []
Exploring Operation: 70-2=68, Resulting Numbers: [86, 92, 68]
Generated Node #2: [86, 92, 68] from Operation: 70-2=68
Current State: 62:[86, 92, 68], Operations: ['70-2=68']
Exploring Operation: 92-86=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 92-86=6
Current State: 62:[68, 6], Operations: ['70-2=68', '92-86=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 70, 86, 92], Operations: []
Exploring Operation: 86-70=16, Resulting Numbers: [2, 92, 16]
Generated Node #0,0: 62:[2, 92, 16] Operation: 86-70=16
Exploring Operation: 92-86=6, Resulting Numbers: [2, 70, 6]
Generated Node #0,1: 62:[2, 70, 6] Operation: 92-86=6
Exploring Operation: 92-70=22, Resulting Numbers: [2, 86, 22]
Generated Node #0,2: 62:[2, 86, 22] Operation: 92-70=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[2, 70, 6], Operations: ['92-86=6']
Exploring Operation: 70-6=64, Resulting Numbers: [2, 64]
Generated Node #0,1,0: 62:[2, 64] Operation: 70-6=64
Exploring Operation: 70/2=35, Resulting Numbers: [6, 35]
Generated Node #0,1,1: 62:[6, 35] Operation: 70/2=35
Exploring Operation: 6/2=3, Resulting Numbers: [70, 3]
Generated Node #0,1,2: 62:[70, 3] Operation: 6/2=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[2, 64], Operations: ['92-86=6', '70-6=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,62 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[2, 70, 86, 92], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [2, 70, 6]
Generated Node #0,1: 62:[2, 70, 6] Operation: 92-86=6
Moving to Node #0,1
Current State: 62:[2, 70, 6], Operations: ['92-86=6']
Exploring Operation: 70-6=64, Resulting Numbers: [2, 64]
Generated Node #0,1,0: 62:[2, 64] Operation: 70-6=64
Moving to Node #0,1,0
Current State: 62:[2, 64], Operations: ['92-86=6', '70-6=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
6,
31,
2,
40
] | 30 | [
"31-6=25",
"40-25=15",
"2*15=30"
] | Current State: 30:[6, 31, 2, 40], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [2, 40, 25]
Generated Node #2: [2, 40, 25] from Operation: 31-6=25
Current State: 30:[2, 40, 25], Operations: ['31-6=25']
Exploring Operation: 40-25=15, Resulting Numbers: [2, 15]
Generated Node #3: [2, 15] from Operation: 40-25=15
Current State: 30:[2, 15], Operations: ['31-6=25', '40-25=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[6, 31, 2, 40], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [6, 2, 9]
Generated Node #0,0: 30:[6, 2, 9] Operation: 40-31=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[6, 2, 9], Operations: ['40-31=9']
Exploring Operation: 6+9=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 30:[2, 15] Operation: 6+9=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[2, 15], Operations: ['40-31=9', '6+9=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[6, 31, 2, 40], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [6, 2, 9]
Generated Node #0,0: 30:[6, 2, 9] Operation: 40-31=9
Moving to Node #0,0
Current State: 30:[6, 2, 9], Operations: ['40-31=9']
Exploring Operation: 6+9=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 30:[2, 15] Operation: 6+9=15
Moving to Node #0,0,0
Current State: 30:[2, 15], Operations: ['40-31=9', '6+9=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
22,
13,
41,
18
] | 82 | [
"22-13=9",
"41*18=738",
"738/9=82"
] | Current State: 82:[22, 13, 41, 18], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [41, 18, 9]
Generated Node #2: [41, 18, 9] from Operation: 22-13=9
Current State: 82:[41, 18, 9], Operations: ['22-13=9']
Exploring Operation: 41*18=738, Resulting Numbers: [9, 738]
Generated Node #3: [9, 738] from Operation: 41*18=738
Current State: 82:[9, 738], Operations: ['22-13=9', '41*18=738']
Exploring Operation: 738/9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[22, 13, 41, 18], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [22, 41, 5]
Generated Node #0,0: 82:[22, 41, 5] Operation: 18-13=5
Exploring Operation: 22+13=35, Resulting Numbers: [41, 18, 35]
Generated Node #0,1: 82:[41, 18, 35] Operation: 22+13=35
Exploring Operation: 22+18=40, Resulting Numbers: [13, 41, 40]
Generated Node #0,2: 82:[13, 41, 40] Operation: 22+18=40
Exploring Operation: 22-13=9, Resulting Numbers: [41, 18, 9]
Generated Node #0,3: 82:[41, 18, 9] Operation: 22-13=9
Exploring Operation: 22-18=4, Resulting Numbers: [13, 41, 4]
Generated Node #0,4: 82:[13, 41, 4] Operation: 22-18=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[13, 41, 40], Operations: ['22+18=40']
Exploring Operation: 41-40=1, Resulting Numbers: [13, 1]
Generated Node #0,2,0: 82:[13, 1] Operation: 41-40=1
Exploring Operation: 13+41=54, Resulting Numbers: [40, 54]
Generated Node #0,2,1: 82:[40, 54] Operation: 13+41=54
Exploring Operation: 41+40=81, Resulting Numbers: [13, 81]
Generated Node #0,2,2: 82:[13, 81] Operation: 41+40=81
Exploring Operation: 41-13=28, Resulting Numbers: [40, 28]
Generated Node #0,2,3: 82:[40, 28] Operation: 41-13=28
Exploring Operation: 13+40=53, Resulting Numbers: [41, 53]
Generated Node #0,2,4: 82:[41, 53] Operation: 13+40=53
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[13, 1], Operations: ['22+18=40', '41-40=1']
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,82 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: 82:[13, 81], Operations: ['22+18=40', '41+40=81']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,82 unequal: No Solution
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 13*81=1053, Resulting Numbers: [1053]
1053,82 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: 82:[41, 53], Operations: ['22+18=40', '13+40=53']
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,82 unequal: No Solution
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,82 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: 82:[40, 54], Operations: ['22+18=40', '13+41=54']
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,82 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: 82:[40, 28], Operations: ['22+18=40', '41-13=28']
Exploring Operation: 40*28=1120, Resulting Numbers: [1120]
1120,82 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,82 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
Start Sub Search at level 1: Moving to Node #0,4
Current State: 82:[13, 41, 4], Operations: ['22-18=4']
Exploring Operation: 13+41=54, Resulting Numbers: [4, 54]
Generated Node #0,4,0: 82:[4, 54] Operation: 13+41=54
Exploring Operation: 13*4=52, Resulting Numbers: [41, 52]
Generated Node #0,4,1: 82:[41, 52] Operation: 13*4=52
Exploring Operation: 41-13=28, Resulting Numbers: [4, 28]
Generated Node #0,4,2: 82:[4, 28] Operation: 41-13=28
Exploring Operation: 13+4=17, Resulting Numbers: [41, 17]
Generated Node #0,4,3: 82:[41, 17] Operation: 13+4=17
Exploring Operation: 13-4=9, Resulting Numbers: [41, 9]
Generated Node #0,4,4: 82:[41, 9] Operation: 13-4=9
Moving to Node #0,4,4
Current State: 82:[41, 9], Operations: ['22-18=4', '13-4=9']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,82 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Moving to Node #0,4,1
Current State: 82:[41, 52], Operations: ['22-18=4', '13*4=52']
Exploring Operation: 41*52=2132, Resulting Numbers: [2132]
2132,82 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Moving to Node #0,4,0
Current State: 82:[4, 54], Operations: ['22-18=4', '13+41=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,82 unequal: No Solution
Moving to Node #0,4,2
Current State: 82:[4, 28], Operations: ['22-18=4', '41-13=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,82 unequal: No Solution
Moving to Node #0,4,3
Current State: 82:[41, 17], Operations: ['22-18=4', '13+4=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,82 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: 82:[22, 41, 5], Operations: ['18-13=5']
Exploring Operation: 22+41=63, Resulting Numbers: [5, 63]
Generated Node #0,0,0: 82:[5, 63] Operation: 22+41=63
Exploring Operation: 41-22=19, Resulting Numbers: [5, 19]
Generated Node #0,0,1: 82:[5, 19] Operation: 41-22=19
Exploring Operation: 22+5=27, Resulting Numbers: [41, 27]
Generated Node #0,0,2: 82:[41, 27] Operation: 22+5=27
Exploring Operation: 41+5=46, Resulting Numbers: [22, 46]
Generated Node #0,0,3: 82:[22, 46] Operation: 41+5=46
Exploring Operation: 22-5=17, Resulting Numbers: [41, 17]
Generated Node #0,0,4: 82:[41, 17] Operation: 22-5=17
Moving to Node #0,0,2
Current State: 82:[41, 27], Operations: ['18-13=5', '22+5=27']
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,82 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,82 unequal: No Solution
Moving to Node #0,0,4
Current State: 82:[41, 17], Operations: ['18-13=5', '22-5=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,82 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[5, 19], Operations: ['18-13=5', '41-22=19']
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,82 unequal: No Solution
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[5, 63], Operations: ['18-13=5', '22+41=63']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,82 unequal: No Solution
Exploring Operation: 5*63=315, Resulting Numbers: [315]
315,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[22, 46], Operations: ['18-13=5', '41+5=46']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 22*46=1012, Resulting Numbers: [1012]
1012,82 unequal: No Solution
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,82 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: 82:[41, 18, 35], Operations: ['22+13=35']
Exploring Operation: 41-35=6, Resulting Numbers: [18, 6]
Generated Node #0,1,0: 82:[18, 6] Operation: 41-35=6
Exploring Operation: 41+35=76, Resulting Numbers: [18, 76]
Generated Node #0,1,1: 82:[18, 76] Operation: 41+35=76
Exploring Operation: 18+35=53, Resulting Numbers: [41, 53]
Generated Node #0,1,2: 82:[41, 53] Operation: 18+35=53
Exploring Operation: 41+18=59, Resulting Numbers: [35, 59]
Generated Node #0,1,3: 82:[35, 59] Operation: 41+18=59
Exploring Operation: 35-18=17, Resulting Numbers: [41, 17]
Generated Node #0,1,4: 82:[41, 17] Operation: 35-18=17
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[41, 53], Operations: ['22+13=35', '18+35=53']
Exploring Operation: 41+53=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 41*53=2173, Resulting Numbers: [2173]
2173,82 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,82 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: 82:[41, 17], Operations: ['22+13=35', '35-18=17']
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,82 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,82 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: 82:[18, 6], Operations: ['22+13=35', '41-35=6']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,82 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 18*6=108, Resulting Numbers: [108]
108,82 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: 82:[18, 76], Operations: ['22+13=35', '41+35=76']
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 18*76=1368, Resulting Numbers: [1368]
1368,82 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: 82:[35, 59], Operations: ['22+13=35', '41+18=59']
Exploring Operation: 35*59=2065, Resulting Numbers: [2065]
2065,82 unequal: No Solution
Exploring Operation: 35+59=94, Resulting Numbers: [94]
94,82 unequal: No Solution
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,82 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[41, 18, 9], Operations: ['22-13=9']
Exploring Operation: 41-18=23, Resulting Numbers: [9, 23]
Generated Node #0,3,0: 82:[9, 23] Operation: 41-18=23
Exploring Operation: 18-9=9, Resulting Numbers: [41, 9]
Generated Node #0,3,1: 82:[41, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [41, 2]
Generated Node #0,3,2: 82:[41, 2] Operation: 18/9=2
Exploring Operation: 41+18=59, Resulting Numbers: [9, 59]
Generated Node #0,3,3: 82:[9, 59] Operation: 41+18=59
Exploring Operation: 18+9=27, Resulting Numbers: [41, 27]
Generated Node #0,3,4: 82:[41, 27] Operation: 18+9=27
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[41, 2], Operations: ['22-13=9', '18/9=2']
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[22, 13, 41, 18], Operations: []
Exploring Operation: 22-13=9, Resulting Numbers: [41, 18, 9]
Generated Node #0,3: 82:[41, 18, 9] Operation: 22-13=9
Moving to Node #0,3
Current State: 82:[41, 18, 9], Operations: ['22-13=9']
Exploring Operation: 18/9=2, Resulting Numbers: [41, 2]
Generated Node #0,3,2: 82:[41, 2] Operation: 18/9=2
Moving to Node #0,3,2
Current State: 82:[41, 2], Operations: ['22-13=9', '18/9=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.913194 | hs_5 | sum_heuristic |
[
2,
14,
23,
31
] | 71 | [
"2*31=62",
"23-14=9",
"62+9=71"
] | Current State: 71:[2, 14, 23, 31], Operations: []
Exploring Operation: 2*31=62, Resulting Numbers: [14, 23, 62]
Generated Node #2: [14, 23, 62] from Operation: 2*31=62
Current State: 71:[14, 23, 62], Operations: ['2*31=62']
Exploring Operation: 23-14=9, Resulting Numbers: [62, 9]
Generated Node #3: [62, 9] from Operation: 23-14=9
Current State: 71:[62, 9], Operations: ['2*31=62', '23-14=9']
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[2, 14, 23, 31], Operations: []
Exploring Operation: 2*14=28, Resulting Numbers: [23, 31, 28]
Generated Node #0,0: 71:[23, 31, 28] Operation: 2*14=28
Exploring Operation: 2+14=16, Resulting Numbers: [23, 31, 16]
Generated Node #0,1: 71:[23, 31, 16] Operation: 2+14=16
Exploring Operation: 2*31=62, Resulting Numbers: [14, 23, 62]
Generated Node #0,2: 71:[14, 23, 62] Operation: 2*31=62
Exploring Operation: 2*23=46, Resulting Numbers: [14, 31, 46]
Generated Node #0,3: 71:[14, 31, 46] Operation: 2*23=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[14, 23, 62], Operations: ['2*31=62']
Exploring Operation: 23-14=9, Resulting Numbers: [62, 9]
Generated Node #0,2,0: 71:[62, 9] Operation: 23-14=9
Exploring Operation: 62-14=48, Resulting Numbers: [23, 48]
Generated Node #0,2,1: 71:[23, 48] Operation: 62-14=48
Exploring Operation: 14+23=37, Resulting Numbers: [62, 37]
Generated Node #0,2,2: 71:[62, 37] Operation: 14+23=37
Exploring Operation: 14+62=76, Resulting Numbers: [23, 76]
Generated Node #0,2,3: 71:[23, 76] Operation: 14+62=76
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[62, 37], Operations: ['2*31=62', '14+23=37']
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 62+37=99, Resulting Numbers: [99]
99,71 unequal: No Solution
Exploring Operation: 62*37=2294, Resulting Numbers: [2294]
2294,71 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:[23, 76], Operations: ['2*31=62', '14+62=76']
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 23*76=1748, Resulting Numbers: [1748]
1748,71 unequal: No Solution
Exploring Operation: 23+76=99, Resulting Numbers: [99]
99,71 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 #0,2,0
Current State: 71:[62, 9], Operations: ['2*31=62', '23-14=9']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,71 unequal: No Solution
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[2, 14, 23, 31], Operations: []
Exploring Operation: 2*31=62, Resulting Numbers: [14, 23, 62]
Generated Node #0,2: 71:[14, 23, 62] Operation: 2*31=62
Moving to Node #0,2
Current State: 71:[14, 23, 62], Operations: ['2*31=62']
Exploring Operation: 23-14=9, Resulting Numbers: [62, 9]
Generated Node #0,2,0: 71:[62, 9] Operation: 23-14=9
Moving to Node #0,2,0
Current State: 71:[62, 9], Operations: ['2*31=62', '23-14=9']
Exploring Operation: 62+9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
69,
48,
67,
16
] | 66 | [
"69+48=117",
"67-16=51",
"117-51=66"
] | Current State: 66:[69, 48, 67, 16], Operations: []
Exploring Operation: 69+48=117, Resulting Numbers: [67, 16, 117]
Generated Node #2: [67, 16, 117] from Operation: 69+48=117
Current State: 66:[67, 16, 117], Operations: ['69+48=117']
Exploring Operation: 67-16=51, Resulting Numbers: [117, 51]
Generated Node #3: [117, 51] from Operation: 67-16=51
Current State: 66:[117, 51], Operations: ['69+48=117', '67-16=51']
Exploring Operation: 117-51=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[69, 48, 67, 16], Operations: []
Exploring Operation: 48/16=3, Resulting Numbers: [69, 67, 3]
Generated Node #0,0: 66:[69, 67, 3] Operation: 48/16=3
Moving to Node #0,0
Current State: 66:[69, 67, 3], Operations: ['48/16=3']
Exploring Operation: 69-67=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 66:[3, 2] Operation: 69-67=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[3, 2], Operations: ['48/16=3', '69-67=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,66 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 |
[
25,
34,
72,
98
] | 34 | [
"25+72=97",
"98-97=1",
"34*1=34"
] | Current State: 34:[25, 34, 72, 98], Operations: []
Exploring Operation: 25+72=97, Resulting Numbers: [34, 98, 97]
Generated Node #2: [34, 98, 97] from Operation: 25+72=97
Current State: 34:[34, 98, 97], Operations: ['25+72=97']
Exploring Operation: 98-97=1, Resulting Numbers: [34, 1]
Generated Node #3: [34, 1] from Operation: 98-97=1
Current State: 34:[34, 1], Operations: ['25+72=97', '98-97=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[25, 34, 72, 98], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [25, 72, 64]
Generated Node #0,0: 34:[25, 72, 64] Operation: 98-34=64
Exploring Operation: 72-34=38, Resulting Numbers: [25, 98, 38]
Generated Node #0,1: 34:[25, 98, 38] Operation: 72-34=38
Exploring Operation: 98-72=26, Resulting Numbers: [25, 34, 26]
Generated Node #0,2: 34:[25, 34, 26] Operation: 98-72=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[25, 34, 26], Operations: ['98-72=26']
Exploring Operation: 34-26=8, Resulting Numbers: [25, 8]
Generated Node #0,2,0: 34:[25, 8] Operation: 34-26=8
Exploring Operation: 34-25=9, Resulting Numbers: [26, 9]
Generated Node #0,2,1: 34:[26, 9] Operation: 34-25=9
Exploring Operation: 26-25=1, Resulting Numbers: [34, 1]
Generated Node #0,2,2: 34:[34, 1] Operation: 26-25=1
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[34, 1], Operations: ['98-72=26', '26-25=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[25, 34, 72, 98], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [25, 34, 26]
Generated Node #0,2: 34:[25, 34, 26] Operation: 98-72=26
Moving to Node #0,2
Current State: 34:[25, 34, 26], Operations: ['98-72=26']
Exploring Operation: 26-25=1, Resulting Numbers: [34, 1]
Generated Node #0,2,2: 34:[34, 1] Operation: 26-25=1
Moving to Node #0,2,2
Current State: 34:[34, 1], Operations: ['98-72=26', '26-25=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
88,
19,
51,
53
] | 35 | [
"88-19=69",
"51+53=104",
"104-69=35"
] | Current State: 35:[88, 19, 51, 53], Operations: []
Exploring Operation: 88-19=69, Resulting Numbers: [51, 53, 69]
Generated Node #2: [51, 53, 69] from Operation: 88-19=69
Current State: 35:[51, 53, 69], Operations: ['88-19=69']
Exploring Operation: 51+53=104, Resulting Numbers: [69, 104]
Generated Node #3: [69, 104] from Operation: 51+53=104
Current State: 35:[69, 104], Operations: ['88-19=69', '51+53=104']
Exploring Operation: 104-69=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[88, 19, 51, 53], Operations: []
Exploring Operation: 88-53=35, Resulting Numbers: [19, 51, 35]
Generated Node #0,0: 35:[19, 51, 35] Operation: 88-53=35
Exploring Operation: 88-51=37, Resulting Numbers: [19, 53, 37]
Generated Node #0,1: 35:[19, 53, 37] Operation: 88-51=37
Moving to Node #0,0
Current State: 35:[19, 51, 35], Operations: ['88-53=35']
Exploring Operation: 51-19=32, Resulting Numbers: [35, 32]
Generated Node #0,0,0: 35:[35, 32] Operation: 51-19=32
Exploring Operation: 51-35=16, Resulting Numbers: [19, 16]
Generated Node #0,0,1: 35:[19, 16] Operation: 51-35=16
Moving to Node #0,1
Current State: 35:[19, 53, 37], Operations: ['88-51=37']
Exploring Operation: 53-19=34, Resulting Numbers: [37, 34]
Generated Node #0,1,0: 35:[37, 34] Operation: 53-19=34
Exploring Operation: 53-37=16, Resulting Numbers: [19, 16]
Generated Node #0,1,1: 35:[19, 16] Operation: 53-37=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[37, 34], Operations: ['88-51=37', '53-19=34']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 37+34=71, Resulting Numbers: [71]
71,35 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: 35:[19, 16], Operations: ['88-51=37', '53-37=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[88, 19, 51, 53], Operations: []
Exploring Operation: 88-51=37, Resulting Numbers: [19, 53, 37]
Generated Node #0,1: 35:[19, 53, 37] Operation: 88-51=37
Moving to Node #0,1
Current State: 35:[19, 53, 37], Operations: ['88-51=37']
Exploring Operation: 53-37=16, Resulting Numbers: [19, 16]
Generated Node #0,1,1: 35:[19, 16] Operation: 53-37=16
Moving to Node #0,1,1
Current State: 35:[19, 16], Operations: ['88-51=37', '53-37=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
84,
64,
76,
27
] | 99 | [
"84+64=148",
"76-27=49",
"148-49=99"
] | Current State: 99:[84, 64, 76, 27], Operations: []
Exploring Operation: 84+64=148, Resulting Numbers: [76, 27, 148]
Generated Node #2: [76, 27, 148] from Operation: 84+64=148
Current State: 99:[76, 27, 148], Operations: ['84+64=148']
Exploring Operation: 76-27=49, Resulting Numbers: [148, 49]
Generated Node #3: [148, 49] from Operation: 76-27=49
Current State: 99:[148, 49], Operations: ['84+64=148', '76-27=49']
Exploring Operation: 148-49=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[84, 64, 76, 27], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [84, 27, 12]
Generated Node #0,0: 99:[84, 27, 12] Operation: 76-64=12
Exploring Operation: 84-64=20, Resulting Numbers: [76, 27, 20]
Generated Node #0,1: 99:[76, 27, 20] Operation: 84-64=20
Moving to Node #0,0
Current State: 99:[84, 27, 12], Operations: ['76-64=12']
Exploring Operation: 84+12=96, Resulting Numbers: [27, 96]
Generated Node #0,0,0: 99:[27, 96] Operation: 84+12=96
Exploring Operation: 84/12=7, Resulting Numbers: [27, 7]
Generated Node #0,0,1: 99:[27, 7] Operation: 84/12=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[27, 7], Operations: ['76-64=12', '84/12=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,99 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:[27, 96], Operations: ['76-64=12', '84+12=96']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,99 unequal: No Solution
Exploring Operation: 27+96=123, Resulting Numbers: [123]
123,99 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:[76, 27, 20], Operations: ['84-64=20']
Exploring Operation: 76+27=103, Resulting Numbers: [20, 103]
Generated Node #0,1,0: 99:[20, 103] Operation: 76+27=103
Exploring Operation: 76+20=96, Resulting Numbers: [27, 96]
Generated Node #0,1,1: 99:[27, 96] Operation: 76+20=96
Moving to Node #0,1,1
Current State: 99:[27, 96], Operations: ['84-64=20', '76+20=96']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,99 unequal: No Solution
Exploring Operation: 27+96=123, Resulting Numbers: [123]
123,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[20, 103], Operations: ['84-64=20', '76+27=103']
Exploring Operation: 103-20=83, Resulting Numbers: [83]
83,99 unequal: No Solution
Exploring Operation: 20+103=123, Resulting Numbers: [123]
123,99 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
41,
8,
97,
70
] | 10 | [
"97-41=56",
"8*70=560",
"560/56=10"
] | Current State: 10:[41, 8, 97, 70], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [8, 70, 56]
Generated Node #2: [8, 70, 56] from Operation: 97-41=56
Current State: 10:[8, 70, 56], Operations: ['97-41=56']
Exploring Operation: 8*70=560, Resulting Numbers: [56, 560]
Generated Node #3: [56, 560] from Operation: 8*70=560
Current State: 10:[56, 560], Operations: ['97-41=56', '8*70=560']
Exploring Operation: 560/56=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[41, 8, 97, 70], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [8, 70, 56]
Generated Node #0,0: 10:[8, 70, 56] Operation: 97-41=56
Exploring Operation: 97-70=27, Resulting Numbers: [41, 8, 27]
Generated Node #0,1: 10:[41, 8, 27] Operation: 97-70=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[41, 8, 27], Operations: ['97-70=27']
Exploring Operation: 41-27=14, Resulting Numbers: [8, 14]
Generated Node #0,1,0: 10:[8, 14] Operation: 41-27=14
Exploring Operation: 41-8=33, Resulting Numbers: [27, 33]
Generated Node #0,1,1: 10:[27, 33] Operation: 41-8=33
Moving to Node #0,1,0
Current State: 10:[8, 14], Operations: ['97-70=27', '41-27=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,10 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[27, 33], Operations: ['97-70=27', '41-8=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,10 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,10 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
Current State: 10:[8, 70, 56], Operations: ['97-41=56']
Exploring Operation: 56/8=7, Resulting Numbers: [70, 7]
Generated Node #0,0,0: 10:[70, 7] Operation: 56/8=7
Exploring Operation: 70-56=14, Resulting Numbers: [8, 14]
Generated Node #0,0,1: 10:[8, 14] Operation: 70-56=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[8, 14], Operations: ['97-41=56', '70-56=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,10 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: 10:[70, 7], Operations: ['97-41=56', '56/8=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[41, 8, 97, 70], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [8, 70, 56]
Generated Node #0,0: 10:[8, 70, 56] Operation: 97-41=56
Moving to Node #0,0
Current State: 10:[8, 70, 56], Operations: ['97-41=56']
Exploring Operation: 56/8=7, Resulting Numbers: [70, 7]
Generated Node #0,0,0: 10:[70, 7] Operation: 56/8=7
Moving to Node #0,0,0
Current State: 10:[70, 7], Operations: ['97-41=56', '56/8=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_2 | mult_heuristic |
[
91,
65,
26,
25
] | 61 | [
"91*25=2275",
"2275/65=35",
"26+35=61"
] | Current State: 61:[91, 65, 26, 25], Operations: []
Exploring Operation: 91*25=2275, Resulting Numbers: [65, 26, 2275]
Generated Node #2: [65, 26, 2275] from Operation: 91*25=2275
Current State: 61:[65, 26, 2275], Operations: ['91*25=2275']
Exploring Operation: 2275/65=35, Resulting Numbers: [26, 35]
Generated Node #3: [26, 35] from Operation: 2275/65=35
Current State: 61:[26, 35], Operations: ['91*25=2275', '2275/65=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[91, 65, 26, 25], Operations: []
Exploring Operation: 91-25=66, Resulting Numbers: [65, 26, 66]
Generated Node #0,0: 61:[65, 26, 66] Operation: 91-25=66
Exploring Operation: 91-26=65, Resulting Numbers: [65, 25, 65]
Generated Node #0,1: 61:[65, 25, 65] Operation: 91-26=65
Moving to Node #0,0
Current State: 61:[65, 26, 66], Operations: ['91-25=66']
Exploring Operation: 66-26=40, Resulting Numbers: [65, 40]
Generated Node #0,0,0: 61:[65, 40] Operation: 66-26=40
Exploring Operation: 65-26=39, Resulting Numbers: [66, 39]
Generated Node #0,0,1: 61:[66, 39] Operation: 65-26=39
Moving to Node #0,1
Current State: 61:[65, 25, 65], Operations: ['91-26=65']
Exploring Operation: 65-25=40, Resulting Numbers: [65, 40]
Generated Node #0,1,0: 61:[65, 40] Operation: 65-25=40
Exploring Operation: 65-25=40, Resulting Numbers: [65, 40]
Generated Node #0,1,1: 61:[65, 40] Operation: 65-25=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[65, 40], Operations: ['91-26=65', '65-25=40']
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,61 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 #0,1,1
Current State: 61:[65, 40], Operations: ['91-26=65', '65-25=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,61 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: 61:[65, 40], Operations: ['91-25=66', '66-26=40']
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,61 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[66, 39], Operations: ['91-25=66', '65-26=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,61 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
62,
15,
4,
98
] | 55 | [
"62-15=47",
"4+98=102",
"102-47=55"
] | Current State: 55:[62, 15, 4, 98], Operations: []
Exploring Operation: 62-15=47, Resulting Numbers: [4, 98, 47]
Generated Node #2: [4, 98, 47] from Operation: 62-15=47
Current State: 55:[4, 98, 47], Operations: ['62-15=47']
Exploring Operation: 4+98=102, Resulting Numbers: [47, 102]
Generated Node #3: [47, 102] from Operation: 4+98=102
Current State: 55:[47, 102], Operations: ['62-15=47', '4+98=102']
Exploring Operation: 102-47=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[62, 15, 4, 98], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [15, 4, 36]
Generated Node #0,0: 55:[15, 4, 36] Operation: 98-62=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[15, 4, 36], Operations: ['98-62=36']
Exploring Operation: 15+36=51, Resulting Numbers: [4, 51]
Generated Node #0,0,0: 55:[4, 51] Operation: 15+36=51
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[4, 51], Operations: ['98-62=36', '15+36=51']
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[62, 15, 4, 98], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [15, 4, 36]
Generated Node #0,0: 55:[15, 4, 36] Operation: 98-62=36
Moving to Node #0,0
Current State: 55:[15, 4, 36], Operations: ['98-62=36']
Exploring Operation: 15+36=51, Resulting Numbers: [4, 51]
Generated Node #0,0,0: 55:[4, 51] Operation: 15+36=51
Moving to Node #0,0,0
Current State: 55:[4, 51], Operations: ['98-62=36', '15+36=51']
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
91,
78,
54,
31
] | 98 | [
"91-78=13",
"54+31=85",
"13+85=98"
] | Current State: 98:[91, 78, 54, 31], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [54, 31, 13]
Generated Node #2: [54, 31, 13] from Operation: 91-78=13
Current State: 98:[54, 31, 13], Operations: ['91-78=13']
Exploring Operation: 54+31=85, Resulting Numbers: [13, 85]
Generated Node #3: [13, 85] from Operation: 54+31=85
Current State: 98:[13, 85], Operations: ['91-78=13', '54+31=85']
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[91, 78, 54, 31], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [91, 31, 24]
Generated Node #0,0: 98:[91, 31, 24] Operation: 78-54=24
Exploring Operation: 78+31=109, Resulting Numbers: [91, 54, 109]
Generated Node #0,1: 98:[91, 54, 109] Operation: 78+31=109
Exploring Operation: 91-78=13, Resulting Numbers: [54, 31, 13]
Generated Node #0,2: 98:[54, 31, 13] Operation: 91-78=13
Exploring Operation: 78-31=47, Resulting Numbers: [91, 54, 47]
Generated Node #0,3: 98:[91, 54, 47] Operation: 78-31=47
Moving to Node #0,3
Current State: 98:[91, 54, 47], Operations: ['78-31=47']
Exploring Operation: 91-47=44, Resulting Numbers: [54, 44]
Generated Node #0,3,0: 98:[54, 44] Operation: 91-47=44
Exploring Operation: 54-47=7, Resulting Numbers: [91, 7]
Generated Node #0,3,1: 98:[91, 7] Operation: 54-47=7
Exploring Operation: 91-54=37, Resulting Numbers: [47, 37]
Generated Node #0,3,2: 98:[47, 37] Operation: 91-54=37
Exploring Operation: 54+47=101, Resulting Numbers: [91, 101]
Generated Node #0,3,3: 98:[91, 101] Operation: 54+47=101
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[91, 7], Operations: ['78-31=47', '54-47=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,98 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[91, 78, 54, 31], Operations: []
Exploring Operation: 78-31=47, Resulting Numbers: [91, 54, 47]
Generated Node #0,3: 98:[91, 54, 47] Operation: 78-31=47
Moving to Node #0,3
Current State: 98:[91, 54, 47], Operations: ['78-31=47']
Exploring Operation: 54-47=7, Resulting Numbers: [91, 7]
Generated Node #0,3,1: 98:[91, 7] Operation: 54-47=7
Moving to Node #0,3,1
Current State: 98:[91, 7], Operations: ['78-31=47', '54-47=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
6,
61,
64,
67
] | 69 | [
"64-61=3",
"6/3=2",
"67+2=69"
] | Current State: 69:[6, 61, 64, 67], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [6, 67, 3]
Generated Node #2: [6, 67, 3] from Operation: 64-61=3
Current State: 69:[6, 67, 3], Operations: ['64-61=3']
Exploring Operation: 6/3=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 6/3=2
Current State: 69:[67, 2], Operations: ['64-61=3', '6/3=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[6, 61, 64, 67], Operations: []
Exploring Operation: 6+61=67, Resulting Numbers: [64, 67, 67]
Generated Node #0,0: 69:[64, 67, 67] Operation: 6+61=67
Exploring Operation: 64-61=3, Resulting Numbers: [6, 67, 3]
Generated Node #0,1: 69:[6, 67, 3] Operation: 64-61=3
Exploring Operation: 6+64=70, Resulting Numbers: [61, 67, 70]
Generated Node #0,2: 69:[61, 67, 70] Operation: 6+64=70
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[6, 67, 3], Operations: ['64-61=3']
Exploring Operation: 6-3=3, Resulting Numbers: [67, 3]
Generated Node #0,1,0: 69:[67, 3] Operation: 6-3=3
Exploring Operation: 6/3=2, Resulting Numbers: [67, 2]
Generated Node #0,1,1: 69:[67, 2] Operation: 6/3=2
Exploring Operation: 6+67=73, Resulting Numbers: [3, 73]
Generated Node #0,1,2: 69:[3, 73] Operation: 6+67=73
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[67, 3], Operations: ['64-61=3', '6-3=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,69 unequal: No Solution
Exploring Operation: 67*3=201, Resulting Numbers: [201]
201,69 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,69 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: 69:[67, 2], Operations: ['64-61=3', '6/3=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,69 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[6, 61, 64, 67], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [6, 67, 3]
Generated Node #0,1: 69:[6, 67, 3] Operation: 64-61=3
Moving to Node #0,1
Current State: 69:[6, 67, 3], Operations: ['64-61=3']
Exploring Operation: 6/3=2, Resulting Numbers: [67, 2]
Generated Node #0,1,1: 69:[67, 2] Operation: 6/3=2
Moving to Node #0,1,1
Current State: 69:[67, 2], Operations: ['64-61=3', '6/3=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
68,
87,
84,
42
] | 21 | [
"87-68=19",
"84/42=2",
"19+2=21"
] | Current State: 21:[68, 87, 84, 42], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [84, 42, 19]
Generated Node #2: [84, 42, 19] from Operation: 87-68=19
Current State: 21:[84, 42, 19], Operations: ['87-68=19']
Exploring Operation: 84/42=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 84/42=2
Current State: 21:[19, 2], Operations: ['87-68=19', '84/42=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[68, 87, 84, 42], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [68, 42, 3]
Generated Node #0,0: 21:[68, 42, 3] Operation: 87-84=3
Exploring Operation: 87-68=19, Resulting Numbers: [84, 42, 19]
Generated Node #0,1: 21:[84, 42, 19] Operation: 87-68=19
Moving to Node #0,0
Current State: 21:[68, 42, 3], Operations: ['87-84=3']
Exploring Operation: 68-42=26, Resulting Numbers: [3, 26]
Generated Node #0,0,0: 21:[3, 26] Operation: 68-42=26
Exploring Operation: 42/3=14, Resulting Numbers: [68, 14]
Generated Node #0,0,1: 21:[68, 14] Operation: 42/3=14
Moving to Node #0,1
Current State: 21:[84, 42, 19], Operations: ['87-68=19']
Exploring Operation: 84/42=2, Resulting Numbers: [19, 2]
Generated Node #0,1,0: 21:[19, 2] Operation: 84/42=2
Exploring Operation: 84-42=42, Resulting Numbers: [19, 42]
Generated Node #0,1,1: 21:[19, 42] Operation: 84-42=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[19, 2], Operations: ['87-68=19', '84/42=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[68, 87, 84, 42], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [84, 42, 19]
Generated Node #0,1: 21:[84, 42, 19] Operation: 87-68=19
Moving to Node #0,1
Current State: 21:[84, 42, 19], Operations: ['87-68=19']
Exploring Operation: 84/42=2, Resulting Numbers: [19, 2]
Generated Node #0,1,0: 21:[19, 2] Operation: 84/42=2
Moving to Node #0,1,0
Current State: 21:[19, 2], Operations: ['87-68=19', '84/42=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
3,
33,
31,
72
] | 33 | [
"3+33=36",
"72/36=2",
"31+2=33"
] | Current State: 33:[3, 33, 31, 72], Operations: []
Exploring Operation: 3+33=36, Resulting Numbers: [31, 72, 36]
Generated Node #2: [31, 72, 36] from Operation: 3+33=36
Current State: 33:[31, 72, 36], Operations: ['3+33=36']
Exploring Operation: 72/36=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 72/36=2
Current State: 33:[31, 2], Operations: ['3+33=36', '72/36=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[3, 33, 31, 72], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [3, 33, 41]
Generated Node #0,0: 33:[3, 33, 41] Operation: 72-31=41
Exploring Operation: 72-3=69, Resulting Numbers: [33, 31, 69]
Generated Node #0,1: 33:[33, 31, 69] Operation: 72-3=69
Exploring Operation: 72-33=39, Resulting Numbers: [3, 31, 39]
Generated Node #0,2: 33:[3, 31, 39] Operation: 72-33=39
Exploring Operation: 72/3=24, Resulting Numbers: [33, 31, 24]
Generated Node #0,3: 33:[33, 31, 24] Operation: 72/3=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[3, 33, 41], Operations: ['72-31=41']
Exploring Operation: 3+33=36, Resulting Numbers: [41, 36]
Generated Node #0,0,0: 33:[41, 36] Operation: 3+33=36
Exploring Operation: 41-3=38, Resulting Numbers: [33, 38]
Generated Node #0,0,1: 33:[33, 38] Operation: 41-3=38
Exploring Operation: 33/3=11, Resulting Numbers: [41, 11]
Generated Node #0,0,2: 33:[41, 11] Operation: 33/3=11
Exploring Operation: 41-33=8, Resulting Numbers: [3, 8]
Generated Node #0,0,3: 33:[3, 8] Operation: 41-33=8
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[3, 8], Operations: ['72-31=41', '41-33=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,33 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: 33:[33, 38], Operations: ['72-31=41', '41-3=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,33 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,33 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: 33:[41, 11], Operations: ['72-31=41', '33/3=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,33 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: 33:[41, 36], Operations: ['72-31=41', '3+33=36']
Exploring Operation: 41*36=1476, Resulting Numbers: [1476]
1476,33 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,33 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: 33:[3, 31, 39], Operations: ['72-33=39']
Exploring Operation: 3+31=34, Resulting Numbers: [39, 34]
Generated Node #0,2,0: 33:[39, 34] Operation: 3+31=34
Exploring Operation: 39-3=36, Resulting Numbers: [31, 36]
Generated Node #0,2,1: 33:[31, 36] Operation: 39-3=36
Exploring Operation: 39/3=13, Resulting Numbers: [31, 13]
Generated Node #0,2,2: 33:[31, 13] Operation: 39/3=13
Exploring Operation: 39-31=8, Resulting Numbers: [3, 8]
Generated Node #0,2,3: 33:[3, 8] Operation: 39-31=8
Moving to Node #0,2,3
Current State: 33:[3, 8], Operations: ['72-33=39', '39-31=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,33 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[31, 13], Operations: ['72-33=39', '39/3=13']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 31*13=403, Resulting Numbers: [403]
403,33 unequal: No Solution
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[31, 36], Operations: ['72-33=39', '39-3=36']
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[39, 34], Operations: ['72-33=39', '3+31=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,33 unequal: No Solution
Exploring Operation: 39*34=1326, Resulting Numbers: [1326]
1326,33 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,33 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: 33:[33, 31, 24], Operations: ['72/3=24']
Exploring Operation: 33-24=9, Resulting Numbers: [31, 9]
Generated Node #0,3,0: 33:[31, 9] Operation: 33-24=9
Exploring Operation: 33-31=2, Resulting Numbers: [24, 2]
Generated Node #0,3,1: 33:[24, 2] Operation: 33-31=2
Exploring Operation: 31-24=7, Resulting Numbers: [33, 7]
Generated Node #0,3,2: 33:[33, 7] Operation: 31-24=7
Exploring Operation: 31+24=55, Resulting Numbers: [33, 55]
Generated Node #0,3,3: 33:[33, 55] Operation: 31+24=55
Moving to Node #0,3,0
Current State: 33:[31, 9], Operations: ['72/3=24', '33-24=9']
Exploring Operation: 31*9=279, Resulting Numbers: [279]
279,33 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 31+9=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[33, 7], Operations: ['72/3=24', '31-24=7']
Exploring Operation: 33*7=231, Resulting Numbers: [231]
231,33 unequal: No Solution
Exploring Operation: 33+7=40, Resulting Numbers: [40]
40,33 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[24, 2], Operations: ['72/3=24', '33-31=2']
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,33 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[33, 55], Operations: ['72/3=24', '31+24=55']
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,33 unequal: No Solution
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,33 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: 33:[33, 31, 69], Operations: ['72-3=69']
Exploring Operation: 69-31=38, Resulting Numbers: [33, 38]
Generated Node #0,1,0: 33:[33, 38] Operation: 69-31=38
Exploring Operation: 69-33=36, Resulting Numbers: [31, 36]
Generated Node #0,1,1: 33:[31, 36] Operation: 69-33=36
Exploring Operation: 33+31=64, Resulting Numbers: [69, 64]
Generated Node #0,1,2: 33:[69, 64] Operation: 33+31=64
Exploring Operation: 33-31=2, Resulting Numbers: [69, 2]
Generated Node #0,1,3: 33:[69, 2] Operation: 33-31=2
Moving to Node #0,1,0
Current State: 33:[33, 38], Operations: ['72-3=69', '69-31=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[31, 36], Operations: ['72-3=69', '69-33=36']
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,33 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[69, 2], Operations: ['72-3=69', '33-31=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,33 unequal: No Solution
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Moving to Node #0,1,2
Current State: 33:[69, 64], Operations: ['72-3=69', '33+31=64']
Exploring Operation: 69*64=4416, Resulting Numbers: [4416]
4416,33 unequal: No Solution
Exploring Operation: 69+64=133, Resulting Numbers: [133]
133,33 unequal: No Solution
Exploring Operation: 69-64=5, Resulting Numbers: [5]
5,33 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,
94,
53,
55
] | 43 | [
"55-53=2",
"94/2=47",
"90-47=43"
] | Current State: 43:[90, 94, 53, 55], Operations: []
Exploring Operation: 55-53=2, Resulting Numbers: [90, 94, 2]
Generated Node #2: [90, 94, 2] from Operation: 55-53=2
Current State: 43:[90, 94, 2], Operations: ['55-53=2']
Exploring Operation: 94/2=47, Resulting Numbers: [90, 47]
Generated Node #3: [90, 47] from Operation: 94/2=47
Current State: 43:[90, 47], Operations: ['55-53=2', '94/2=47']
Exploring Operation: 90-47=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[90, 94, 53, 55], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [53, 55, 4]
Generated Node #0,0: 43:[53, 55, 4] Operation: 94-90=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[53, 55, 4], Operations: ['94-90=4']
Exploring Operation: 53-4=49, Resulting Numbers: [55, 49]
Generated Node #0,0,0: 43:[55, 49] Operation: 53-4=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[55, 49], Operations: ['94-90=4', '53-4=49']
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,43 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 |
[
48,
84,
52,
43
] | 64 | [
"52-48=4",
"84/4=21",
"43+21=64"
] | Current State: 64:[48, 84, 52, 43], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [84, 43, 4]
Generated Node #2: [84, 43, 4] from Operation: 52-48=4
Current State: 64:[84, 43, 4], Operations: ['52-48=4']
Exploring Operation: 84/4=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 84/4=21
Current State: 64:[43, 21], Operations: ['52-48=4', '84/4=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[48, 84, 52, 43], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [48, 43, 32]
Generated Node #0,0: 64:[48, 43, 32] Operation: 84-52=32
Exploring Operation: 52-48=4, Resulting Numbers: [84, 43, 4]
Generated Node #0,1: 64:[84, 43, 4] Operation: 52-48=4
Exploring Operation: 84-48=36, Resulting Numbers: [52, 43, 36]
Generated Node #0,2: 64:[52, 43, 36] Operation: 84-48=36
Moving to Node #0,0
Current State: 64:[48, 43, 32], Operations: ['84-52=32']
Exploring Operation: 48-43=5, Resulting Numbers: [32, 5]
Generated Node #0,0,0: 64:[32, 5] Operation: 48-43=5
Exploring Operation: 43-32=11, Resulting Numbers: [48, 11]
Generated Node #0,0,1: 64:[48, 11] Operation: 43-32=11
Exploring Operation: 48-32=16, Resulting Numbers: [43, 16]
Generated Node #0,0,2: 64:[43, 16] Operation: 48-32=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[32, 5], Operations: ['84-52=32', '48-43=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,64 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,64 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 #0,0,2
Current State: 64:[43, 16], Operations: ['84-52=32', '48-32=16']
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,64 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,64 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 #0,0,1
Current State: 64:[48, 11], Operations: ['84-52=32', '43-32=11']
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,64 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: 64:[52, 43, 36], Operations: ['84-48=36']
Exploring Operation: 52-43=9, Resulting Numbers: [36, 9]
Generated Node #0,2,0: 64:[36, 9] Operation: 52-43=9
Exploring Operation: 52-36=16, Resulting Numbers: [43, 16]
Generated Node #0,2,1: 64:[43, 16] Operation: 52-36=16
Exploring Operation: 43-36=7, Resulting Numbers: [52, 7]
Generated Node #0,2,2: 64:[52, 7] Operation: 43-36=7
Moving to Node #0,1
Current State: 64:[84, 43, 4], Operations: ['52-48=4']
Exploring Operation: 84-4=80, Resulting Numbers: [43, 80]
Generated Node #0,1,0: 64:[43, 80] Operation: 84-4=80
Exploring Operation: 84-43=41, Resulting Numbers: [4, 41]
Generated Node #0,1,1: 64:[4, 41] Operation: 84-43=41
Exploring Operation: 84/4=21, Resulting Numbers: [43, 21]
Generated Node #0,1,2: 64:[43, 21] Operation: 84/4=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[4, 41], Operations: ['52-48=4', '84-43=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,64 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 #0,1,2
Current State: 64:[43, 21], Operations: ['52-48=4', '84/4=21']
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,64 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[48, 84, 52, 43], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [84, 43, 4]
Generated Node #0,1: 64:[84, 43, 4] Operation: 52-48=4
Moving to Node #0,1
Current State: 64:[84, 43, 4], Operations: ['52-48=4']
Exploring Operation: 84/4=21, Resulting Numbers: [43, 21]
Generated Node #0,1,2: 64:[43, 21] Operation: 84/4=21
Moving to Node #0,1,2
Current State: 64:[43, 21], Operations: ['52-48=4', '84/4=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
13,
14,
24,
28
] | 69 | [
"28-24=4",
"14*4=56",
"13+56=69"
] | Current State: 69:[13, 14, 24, 28], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [13, 14, 4]
Generated Node #2: [13, 14, 4] from Operation: 28-24=4
Current State: 69:[13, 14, 4], Operations: ['28-24=4']
Exploring Operation: 14*4=56, Resulting Numbers: [13, 56]
Generated Node #3: [13, 56] from Operation: 14*4=56
Current State: 69:[13, 56], Operations: ['28-24=4', '14*4=56']
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[13, 14, 24, 28], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [13, 24, 2]
Generated Node #0,0: 69:[13, 24, 2] Operation: 28/14=2
Exploring Operation: 14-13=1, Resulting Numbers: [24, 28, 1]
Generated Node #0,1: 69:[24, 28, 1] Operation: 14-13=1
Exploring Operation: 28-14=14, Resulting Numbers: [13, 24, 14]
Generated Node #0,2: 69:[13, 24, 14] Operation: 28-14=14
Exploring Operation: 13+14=27, Resulting Numbers: [24, 28, 27]
Generated Node #0,3: 69:[24, 28, 27] Operation: 13+14=27
Exploring Operation: 28-13=15, Resulting Numbers: [14, 24, 15]
Generated Node #0,4: 69:[14, 24, 15] Operation: 28-13=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[24, 28, 1], Operations: ['14-13=1']
Exploring Operation: 28-24=4, Resulting Numbers: [1, 4]
Generated Node #0,1,0: 69:[1, 4] Operation: 28-24=4
Exploring Operation: 24-1=23, Resulting Numbers: [28, 23]
Generated Node #0,1,1: 69:[28, 23] Operation: 24-1=23
Exploring Operation: 24/1=24, Resulting Numbers: [28, 24]
Generated Node #0,1,2: 69:[28, 24] Operation: 24/1=24
Exploring Operation: 28-1=27, Resulting Numbers: [24, 27]
Generated Node #0,1,3: 69:[24, 27] Operation: 28-1=27
Exploring Operation: 24*1=24, Resulting Numbers: [28, 24]
Generated Node #0,1,4: 69:[28, 24] Operation: 24*1=24
Moving to Node #0,1,0
Current State: 69:[1, 4], Operations: ['14-13=1', '28-24=4']
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[24, 27], Operations: ['14-13=1', '28-1=27']
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,69 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[28, 23], Operations: ['14-13=1', '24-1=23']
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 28*23=644, Resulting Numbers: [644]
644,69 unequal: No Solution
Exploring Operation: 28+23=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[28, 24], Operations: ['14-13=1', '24/1=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,69 unequal: No Solution
Moving to Node #0,1,4
Current State: 69:[28, 24], Operations: ['14-13=1', '24*1=24']
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,69 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,69 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: 69:[24, 28, 27], Operations: ['13+14=27']
Exploring Operation: 24+28=52, Resulting Numbers: [27, 52]
Generated Node #0,3,0: 69:[27, 52] Operation: 24+28=52
Exploring Operation: 28-24=4, Resulting Numbers: [27, 4]
Generated Node #0,3,1: 69:[27, 4] Operation: 28-24=4
Exploring Operation: 28-27=1, Resulting Numbers: [24, 1]
Generated Node #0,3,2: 69:[24, 1] Operation: 28-27=1
Exploring Operation: 28+27=55, Resulting Numbers: [24, 55]
Generated Node #0,3,3: 69:[24, 55] Operation: 28+27=55
Exploring Operation: 27-24=3, Resulting Numbers: [28, 3]
Generated Node #0,3,4: 69:[28, 3] Operation: 27-24=3
Moving to Node #0,3,2
Current State: 69:[24, 1], Operations: ['13+14=27', '28-27=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Moving to Node #0,3,4
Current State: 69:[28, 3], Operations: ['13+14=27', '27-24=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[27, 4], Operations: ['13+14=27', '28-24=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[24, 55], Operations: ['13+14=27', '28+27=55']
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,69 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[27, 52], Operations: ['13+14=27', '24+28=52']
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,69 unequal: No Solution
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,69 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: 69:[13, 24, 2], Operations: ['28/14=2']
Exploring Operation: 13*2=26, Resulting Numbers: [24, 26]
Generated Node #0,0,0: 69:[24, 26] Operation: 13*2=26
Exploring Operation: 24-2=22, Resulting Numbers: [13, 22]
Generated Node #0,0,1: 69:[13, 22] Operation: 24-2=22
Exploring Operation: 24-13=11, Resulting Numbers: [2, 11]
Generated Node #0,0,2: 69:[2, 11] Operation: 24-13=11
Exploring Operation: 13+2=15, Resulting Numbers: [24, 15]
Generated Node #0,0,3: 69:[24, 15] Operation: 13+2=15
Exploring Operation: 13-2=11, Resulting Numbers: [24, 11]
Generated Node #0,0,4: 69:[24, 11] Operation: 13-2=11
Moving to Node #0,0,0
Current State: 69:[24, 26], Operations: ['28/14=2', '13*2=26']
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,69 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[24, 15], Operations: ['28/14=2', '13+2=15']
Exploring Operation: 24*15=360, Resulting Numbers: [360]
360,69 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[2, 11], Operations: ['28/14=2', '24-13=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Moving to Node #0,0,4
Current State: 69:[24, 11], Operations: ['28/14=2', '13-2=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[13, 22], Operations: ['28/14=2', '24-2=22']
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,69 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,69 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: 69:[14, 24, 15], Operations: ['28-13=15']
Exploring Operation: 24-15=9, Resulting Numbers: [14, 9]
Generated Node #0,4,0: 69:[14, 9] Operation: 24-15=9
Exploring Operation: 14+24=38, Resulting Numbers: [15, 38]
Generated Node #0,4,1: 69:[15, 38] Operation: 14+24=38
Exploring Operation: 24-14=10, Resulting Numbers: [15, 10]
Generated Node #0,4,2: 69:[15, 10] Operation: 24-14=10
Exploring Operation: 14+15=29, Resulting Numbers: [24, 29]
Generated Node #0,4,3: 69:[24, 29] Operation: 14+15=29
Exploring Operation: 15-14=1, Resulting Numbers: [24, 1]
Generated Node #0,4,4: 69:[24, 1] Operation: 15-14=1
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 69:[24, 1], Operations: ['28-13=15', '15-14=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,69 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: 69:[24, 29], Operations: ['28-13=15', '14+15=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 24*29=696, Resulting Numbers: [696]
696,69 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,69 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 #0,4,0
Current State: 69:[14, 9], Operations: ['28-13=15', '24-15=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,69 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,69 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: 69:[15, 10], Operations: ['28-13=15', '24-14=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,69 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,69 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: 69:[15, 38], Operations: ['28-13=15', '14+24=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,69 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: 69:[13, 24, 14], Operations: ['28-14=14']
Exploring Operation: 24-14=10, Resulting Numbers: [13, 10]
Generated Node #0,2,0: 69:[13, 10] Operation: 24-14=10
Exploring Operation: 24-13=11, Resulting Numbers: [14, 11]
Generated Node #0,2,1: 69:[14, 11] Operation: 24-13=11
Exploring Operation: 13+24=37, Resulting Numbers: [14, 37]
Generated Node #0,2,2: 69:[14, 37] Operation: 13+24=37
Exploring Operation: 14-13=1, Resulting Numbers: [24, 1]
Generated Node #0,2,3: 69:[24, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [24, 27]
Generated Node #0,2,4: 69:[24, 27] Operation: 13+14=27
Moving to Node #0,2,3
Current State: 69:[24, 1], Operations: ['28-14=14', '14-13=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[24, 27], Operations: ['28-14=14', '13+14=27']
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,69 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[13, 10], Operations: ['28-14=14', '24-14=10']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[14, 11], Operations: ['28-14=14', '24-13=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,69 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[14, 37], Operations: ['28-14=14', '13+24=37']
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,69 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
7,
52,
18,
35
] | 28 | [
"52-7=45",
"35-18=17",
"45-17=28"
] | Current State: 28:[7, 52, 18, 35], Operations: []
Exploring Operation: 52-7=45, Resulting Numbers: [18, 35, 45]
Generated Node #2: [18, 35, 45] from Operation: 52-7=45
Current State: 28:[18, 35, 45], Operations: ['52-7=45']
Exploring Operation: 35-18=17, Resulting Numbers: [45, 17]
Generated Node #3: [45, 17] from Operation: 35-18=17
Current State: 28:[45, 17], Operations: ['52-7=45', '35-18=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[7, 52, 18, 35], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [7, 35, 34]
Generated Node #0,0: 28:[7, 35, 34] Operation: 52-18=34
Exploring Operation: 52-7=45, Resulting Numbers: [18, 35, 45]
Generated Node #0,1: 28:[18, 35, 45] Operation: 52-7=45
Exploring Operation: 35-18=17, Resulting Numbers: [7, 52, 17]
Generated Node #0,2: 28:[7, 52, 17] Operation: 35-18=17
Exploring Operation: 52-35=17, Resulting Numbers: [7, 18, 17]
Generated Node #0,3: 28:[7, 18, 17] Operation: 52-35=17
Moving to Node #0,3
Current State: 28:[7, 18, 17], Operations: ['52-35=17']
Exploring Operation: 18-17=1, Resulting Numbers: [7, 1]
Generated Node #0,3,0: 28:[7, 1] Operation: 18-17=1
Exploring Operation: 17-7=10, Resulting Numbers: [18, 10]
Generated Node #0,3,1: 28:[18, 10] Operation: 17-7=10
Exploring Operation: 7+18=25, Resulting Numbers: [17, 25]
Generated Node #0,3,2: 28:[17, 25] Operation: 7+18=25
Exploring Operation: 18-7=11, Resulting Numbers: [17, 11]
Generated Node #0,3,3: 28:[17, 11] Operation: 18-7=11
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 28:[7, 1], Operations: ['52-35=17', '18-17=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,28 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 #0,3,2
Current State: 28:[17, 25], Operations: ['52-35=17', '7+18=25']
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 17*25=425, Resulting Numbers: [425]
425,28 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 #0,3,3
Current State: 28:[17, 11], Operations: ['52-35=17', '18-7=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[7, 52, 18, 35], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [7, 18, 17]
Generated Node #0,3: 28:[7, 18, 17] Operation: 52-35=17
Moving to Node #0,3
Current State: 28:[7, 18, 17], Operations: ['52-35=17']
Exploring Operation: 18-7=11, Resulting Numbers: [17, 11]
Generated Node #0,3,3: 28:[17, 11] Operation: 18-7=11
Moving to Node #0,3,3
Current State: 28:[17, 11], Operations: ['52-35=17', '18-7=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
50,
41,
67,
52
] | 54 | [
"52-50=2",
"41+67=108",
"108/2=54"
] | Current State: 54:[50, 41, 67, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [41, 67, 2]
Generated Node #2: [41, 67, 2] from Operation: 52-50=2
Current State: 54:[41, 67, 2], Operations: ['52-50=2']
Exploring Operation: 41+67=108, Resulting Numbers: [2, 108]
Generated Node #3: [2, 108] from Operation: 41+67=108
Current State: 54:[2, 108], Operations: ['52-50=2', '41+67=108']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[50, 41, 67, 52], Operations: []
Exploring Operation: 67-50=17, Resulting Numbers: [41, 52, 17]
Generated Node #0,0: 54:[41, 52, 17] Operation: 67-50=17
Exploring Operation: 50-41=9, Resulting Numbers: [67, 52, 9]
Generated Node #0,1: 54:[67, 52, 9] Operation: 50-41=9
Exploring Operation: 67-41=26, Resulting Numbers: [50, 52, 26]
Generated Node #0,2: 54:[50, 52, 26] Operation: 67-41=26
Moving to Node #0,2
Current State: 54:[50, 52, 26], Operations: ['67-41=26']
Exploring Operation: 52/26=2, Resulting Numbers: [50, 2]
Generated Node #0,2,0: 54:[50, 2] Operation: 52/26=2
Exploring Operation: 52-50=2, Resulting Numbers: [26, 2]
Generated Node #0,2,1: 54:[26, 2] Operation: 52-50=2
Exploring Operation: 50-26=24, Resulting Numbers: [52, 24]
Generated Node #0,2,2: 54:[52, 24] Operation: 50-26=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[26, 2], Operations: ['67-41=26', '52-50=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,54 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: 54:[50, 2], Operations: ['67-41=26', '52/26=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,54 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: 54:[52, 24], Operations: ['67-41=26', '50-26=24']
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,54 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,54 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: 54:[67, 52, 9], Operations: ['50-41=9']
Exploring Operation: 67-9=58, Resulting Numbers: [52, 58]
Generated Node #0,1,0: 54:[52, 58] Operation: 67-9=58
Exploring Operation: 52+9=61, Resulting Numbers: [67, 61]
Generated Node #0,1,1: 54:[67, 61] Operation: 52+9=61
Exploring Operation: 67-52=15, Resulting Numbers: [9, 15]
Generated Node #0,1,2: 54:[9, 15] Operation: 67-52=15
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[9, 15], Operations: ['50-41=9', '67-52=15']
Exploring Operation: 9*15=135, Resulting Numbers: [135]
135,54 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 9+15=24, Resulting Numbers: [24]
24,54 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: 54:[52, 58], Operations: ['50-41=9', '67-9=58']
Exploring Operation: 52*58=3016, Resulting Numbers: [3016]
3016,54 unequal: No Solution
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 52+58=110, Resulting Numbers: [110]
110,54 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: 54:[67, 61], Operations: ['50-41=9', '52+9=61']
Exploring Operation: 67-61=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 67*61=4087, Resulting Numbers: [4087]
4087,54 unequal: No Solution
Exploring Operation: 67+61=128, Resulting Numbers: [128]
128,54 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: 54:[41, 52, 17], Operations: ['67-50=17']
Exploring Operation: 41-17=24, Resulting Numbers: [52, 24]
Generated Node #0,0,0: 54:[52, 24] Operation: 41-17=24
Exploring Operation: 41+17=58, Resulting Numbers: [52, 58]
Generated Node #0,0,1: 54:[52, 58] Operation: 41+17=58
Exploring Operation: 52-41=11, Resulting Numbers: [17, 11]
Generated Node #0,0,2: 54:[17, 11] Operation: 52-41=11
Moving to Node #0,0,2
Current State: 54:[17, 11], Operations: ['67-50=17', '52-41=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,54 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[52, 24], Operations: ['67-50=17', '41-17=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,54 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[52, 58], Operations: ['67-50=17', '41+17=58']
Exploring Operation: 52+58=110, Resulting Numbers: [110]
110,54 unequal: No Solution
Exploring Operation: 58-52=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 52*58=3016, Resulting Numbers: [3016]
3016,54 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
92,
26,
16,
72
] | 33 | [
"92*26=2392",
"2392-16=2376",
"2376/72=33"
] | Current State: 33:[92, 26, 16, 72], Operations: []
Exploring Operation: 92*26=2392, Resulting Numbers: [16, 72, 2392]
Generated Node #2: [16, 72, 2392] from Operation: 92*26=2392
Current State: 33:[16, 72, 2392], Operations: ['92*26=2392']
Exploring Operation: 2392-16=2376, Resulting Numbers: [72, 2376]
Generated Node #3: [72, 2376] from Operation: 2392-16=2376
Current State: 33:[72, 2376], Operations: ['92*26=2392', '2392-16=2376']
Exploring Operation: 2376/72=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[92, 26, 16, 72], Operations: []
Exploring Operation: 92-26=66, Resulting Numbers: [16, 72, 66]
Generated Node #0,0: 33:[16, 72, 66] Operation: 92-26=66
Exploring Operation: 92-16=76, Resulting Numbers: [26, 72, 76]
Generated Node #0,1: 33:[26, 72, 76] Operation: 92-16=76
Exploring Operation: 92-72=20, Resulting Numbers: [26, 16, 20]
Generated Node #0,2: 33:[26, 16, 20] Operation: 92-72=20
Exploring Operation: 72-26=46, Resulting Numbers: [92, 16, 46]
Generated Node #0,3: 33:[92, 16, 46] Operation: 72-26=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[26, 16, 20], Operations: ['92-72=20']
Exploring Operation: 26-20=6, Resulting Numbers: [16, 6]
Generated Node #0,2,0: 33:[16, 6] Operation: 26-20=6
Exploring Operation: 20-16=4, Resulting Numbers: [26, 4]
Generated Node #0,2,1: 33:[26, 4] Operation: 20-16=4
Exploring Operation: 16+20=36, Resulting Numbers: [26, 36]
Generated Node #0,2,2: 33:[26, 36] Operation: 16+20=36
Exploring Operation: 26-16=10, Resulting Numbers: [20, 10]
Generated Node #0,2,3: 33:[20, 10] Operation: 26-16=10
Moving to Node #0,2,0
Current State: 33:[16, 6], Operations: ['92-72=20', '26-20=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[26, 4], Operations: ['92-72=20', '20-16=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[20, 10], Operations: ['92-72=20', '26-16=10']
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,33 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[26, 36], Operations: ['92-72=20', '16+20=36']
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,33 unequal: No Solution
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,33 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: 33:[16, 72, 66], Operations: ['92-26=66']
Exploring Operation: 66-16=50, Resulting Numbers: [72, 50]
Generated Node #0,0,0: 33:[72, 50] Operation: 66-16=50
Exploring Operation: 16+72=88, Resulting Numbers: [66, 88]
Generated Node #0,0,1: 33:[66, 88] Operation: 16+72=88
Exploring Operation: 72-16=56, Resulting Numbers: [66, 56]
Generated Node #0,0,2: 33:[66, 56] Operation: 72-16=56
Exploring Operation: 72-66=6, Resulting Numbers: [16, 6]
Generated Node #0,0,3: 33:[16, 6] Operation: 72-66=6
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[16, 6], Operations: ['92-26=66', '72-66=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,33 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: 33:[72, 50], Operations: ['92-26=66', '66-16=50']
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 72*50=3600, Resulting Numbers: [3600]
3600,33 unequal: No Solution
Exploring Operation: 72+50=122, Resulting Numbers: [122]
122,33 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: 33:[66, 56], Operations: ['92-26=66', '72-16=56']
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 66+56=122, Resulting Numbers: [122]
122,33 unequal: No Solution
Exploring Operation: 66*56=3696, Resulting Numbers: [3696]
3696,33 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: 33:[66, 88], Operations: ['92-26=66', '16+72=88']
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,33 unequal: No Solution
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,33 unequal: No Solution
Exploring Operation: 88-66=22, Resulting Numbers: [22]
22,33 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: 33:[92, 16, 46], Operations: ['72-26=46']
Exploring Operation: 92-16=76, Resulting Numbers: [46, 76]
Generated Node #0,3,0: 33:[46, 76] Operation: 92-16=76
Exploring Operation: 92/46=2, Resulting Numbers: [16, 2]
Generated Node #0,3,1: 33:[16, 2] Operation: 92/46=2
Exploring Operation: 46-16=30, Resulting Numbers: [92, 30]
Generated Node #0,3,2: 33:[92, 30] Operation: 46-16=30
Exploring Operation: 92-46=46, Resulting Numbers: [16, 46]
Generated Node #0,3,3: 33:[16, 46] Operation: 92-46=46
Moving to Node #0,3,1
Current State: 33:[16, 2], Operations: ['72-26=46', '92/46=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,33 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[16, 46], Operations: ['72-26=46', '92-46=46']
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,33 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[46, 76], Operations: ['72-26=46', '92-16=76']
Exploring Operation: 46+76=122, Resulting Numbers: [122]
122,33 unequal: No Solution
Exploring Operation: 46*76=3496, Resulting Numbers: [3496]
3496,33 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[92, 30], Operations: ['72-26=46', '46-16=30']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 92+30=122, Resulting Numbers: [122]
122,33 unequal: No Solution
Exploring Operation: 92*30=2760, Resulting Numbers: [2760]
2760,33 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: 33:[26, 72, 76], Operations: ['92-16=76']
Exploring Operation: 76-26=50, Resulting Numbers: [72, 50]
Generated Node #0,1,0: 33:[72, 50] Operation: 76-26=50
Exploring Operation: 76-72=4, Resulting Numbers: [26, 4]
Generated Node #0,1,1: 33:[26, 4] Operation: 76-72=4
Exploring Operation: 26+72=98, Resulting Numbers: [76, 98]
Generated Node #0,1,2: 33:[76, 98] Operation: 26+72=98
Exploring Operation: 72-26=46, Resulting Numbers: [76, 46]
Generated Node #0,1,3: 33:[76, 46] Operation: 72-26=46
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[26, 4], Operations: ['92-16=76', '76-72=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,33 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,33 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,33 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: 33:[72, 50], Operations: ['92-16=76', '76-26=50']
Exploring Operation: 72-50=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 72+50=122, Resulting Numbers: [122]
122,33 unequal: No Solution
Exploring Operation: 72*50=3600, Resulting Numbers: [3600]
3600,33 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: 33:[76, 46], Operations: ['92-16=76', '72-26=46']
Exploring Operation: 76*46=3496, Resulting Numbers: [3496]
3496,33 unequal: No Solution
Exploring Operation: 76+46=122, Resulting Numbers: [122]
122,33 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,33 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: 33:[76, 98], Operations: ['92-16=76', '26+72=98']
Exploring Operation: 76+98=174, Resulting Numbers: [174]
174,33 unequal: No Solution
Exploring Operation: 98-76=22, Resulting Numbers: [22]
22,33 unequal: No Solution
Exploring Operation: 76*98=7448, Resulting Numbers: [7448]
7448,33 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_4 | mult_heuristic |
[
57,
77,
23,
43
] | 86 | [
"77-57=20",
"23+43=66",
"20+66=86"
] | Current State: 86:[57, 77, 23, 43], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [23, 43, 20]
Generated Node #2: [23, 43, 20] from Operation: 77-57=20
Current State: 86:[23, 43, 20], Operations: ['77-57=20']
Exploring Operation: 23+43=66, Resulting Numbers: [20, 66]
Generated Node #3: [20, 66] from Operation: 23+43=66
Current State: 86:[20, 66], Operations: ['77-57=20', '23+43=66']
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[57, 77, 23, 43], Operations: []
Exploring Operation: 57+23=80, Resulting Numbers: [77, 43, 80]
Generated Node #0,0: 86:[77, 43, 80] Operation: 57+23=80
Moving to Node #0,0
Current State: 86:[77, 43, 80], Operations: ['57+23=80']
Exploring Operation: 80-77=3, Resulting Numbers: [43, 3]
Generated Node #0,0,0: 86:[43, 3] Operation: 80-77=3
Moving to Node #0,0,0
Current State: 86:[43, 3], Operations: ['57+23=80', '80-77=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,86 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
24,
36,
21,
12
] | 61 | [
"36*21=756",
"756-24=732",
"732/12=61"
] | Current State: 61:[24, 36, 21, 12], Operations: []
Exploring Operation: 36*21=756, Resulting Numbers: [24, 12, 756]
Generated Node #2: [24, 12, 756] from Operation: 36*21=756
Current State: 61:[24, 12, 756], Operations: ['36*21=756']
Exploring Operation: 756-24=732, Resulting Numbers: [12, 732]
Generated Node #3: [12, 732] from Operation: 756-24=732
Current State: 61:[12, 732], Operations: ['36*21=756', '756-24=732']
Exploring Operation: 732/12=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[24, 36, 21, 12], Operations: []
Exploring Operation: 24+12=36, Resulting Numbers: [36, 21, 36]
Generated Node #0,0: 61:[36, 21, 36] Operation: 24+12=36
Exploring Operation: 36+21=57, Resulting Numbers: [24, 12, 57]
Generated Node #0,1: 61:[24, 12, 57] Operation: 36+21=57
Exploring Operation: 24+36=60, Resulting Numbers: [21, 12, 60]
Generated Node #0,2: 61:[21, 12, 60] Operation: 24+36=60
Exploring Operation: 36+12=48, Resulting Numbers: [24, 21, 48]
Generated Node #0,3: 61:[24, 21, 48] Operation: 36+12=48
Exploring Operation: 24+21=45, Resulting Numbers: [36, 12, 45]
Generated Node #0,4: 61:[36, 12, 45] Operation: 24+21=45
Moving to Node #0,0
Current State: 61:[36, 21, 36], Operations: ['24+12=36']
Exploring Operation: 36+21=57, Resulting Numbers: [36, 57]
Generated Node #0,0,0: 61:[36, 57] Operation: 36+21=57
Exploring Operation: 36-21=15, Resulting Numbers: [36, 15]
Generated Node #0,0,1: 61:[36, 15] Operation: 36-21=15
Exploring Operation: 21+36=57, Resulting Numbers: [36, 57]
Generated Node #0,0,2: 61:[36, 57] Operation: 21+36=57
Exploring Operation: 36-21=15, Resulting Numbers: [36, 15]
Generated Node #0,0,3: 61:[36, 15] Operation: 36-21=15
Exploring Operation: 36+36=72, Resulting Numbers: [21, 72]
Generated Node #0,0,4: 61:[21, 72] Operation: 36+36=72
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[36, 57], Operations: ['24+12=36', '36+21=57']
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,61 unequal: No Solution
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,61 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 #0,0,2
Current State: 61:[36, 57], Operations: ['24+12=36', '21+36=57']
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,61 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,61 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 #0,0,4
Current State: 61:[21, 72], Operations: ['24+12=36', '36+36=72']
Exploring Operation: 21*72=1512, Resulting Numbers: [1512]
1512,61 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,61 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 #0,0,1
Current State: 61:[36, 15], Operations: ['24+12=36', '36-21=15']
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,61 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,61 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:[36, 15], Operations: ['24+12=36', '36-21=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,61 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: 61:[21, 12, 60], Operations: ['24+36=60']
Exploring Operation: 60-12=48, Resulting Numbers: [21, 48]
Generated Node #0,2,0: 61:[21, 48] Operation: 60-12=48
Exploring Operation: 21-12=9, Resulting Numbers: [60, 9]
Generated Node #0,2,1: 61:[60, 9] Operation: 21-12=9
Exploring Operation: 21+60=81, Resulting Numbers: [12, 81]
Generated Node #0,2,2: 61:[12, 81] Operation: 21+60=81
Exploring Operation: 21+12=33, Resulting Numbers: [60, 33]
Generated Node #0,2,3: 61:[60, 33] Operation: 21+12=33
Exploring Operation: 12+60=72, Resulting Numbers: [21, 72]
Generated Node #0,2,4: 61:[21, 72] Operation: 12+60=72
Moving to Node #0,4
Current State: 61:[36, 12, 45], Operations: ['24+21=45']
Exploring Operation: 36+12=48, Resulting Numbers: [45, 48]
Generated Node #0,4,0: 61:[45, 48] Operation: 36+12=48
Exploring Operation: 45-12=33, Resulting Numbers: [36, 33]
Generated Node #0,4,1: 61:[36, 33] Operation: 45-12=33
Exploring Operation: 36-12=24, Resulting Numbers: [45, 24]
Generated Node #0,4,2: 61:[45, 24] Operation: 36-12=24
Exploring Operation: 36+45=81, Resulting Numbers: [12, 81]
Generated Node #0,4,3: 61:[12, 81] Operation: 36+45=81
Exploring Operation: 12+45=57, Resulting Numbers: [36, 57]
Generated Node #0,4,4: 61:[36, 57] Operation: 12+45=57
Moving to Node #0,1
Current State: 61:[24, 12, 57], Operations: ['36+21=57']
Exploring Operation: 24-12=12, Resulting Numbers: [57, 12]
Generated Node #0,1,0: 61:[57, 12] Operation: 24-12=12
Exploring Operation: 24+12=36, Resulting Numbers: [57, 36]
Generated Node #0,1,1: 61:[57, 36] Operation: 24+12=36
Exploring Operation: 57-12=45, Resulting Numbers: [24, 45]
Generated Node #0,1,2: 61:[24, 45] Operation: 57-12=45
Exploring Operation: 24/12=2, Resulting Numbers: [57, 2]
Generated Node #0,1,3: 61:[57, 2] Operation: 24/12=2
Exploring Operation: 12+57=69, Resulting Numbers: [24, 69]
Generated Node #0,1,4: 61:[24, 69] Operation: 12+57=69
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[57, 36], Operations: ['36+21=57', '24+12=36']
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,61 unequal: No Solution
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,61 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 #0,1,4
Current State: 61:[24, 69], Operations: ['36+21=57', '12+57=69']
Exploring Operation: 24*69=1656, Resulting Numbers: [1656]
1656,61 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 24+69=93, Resulting Numbers: [93]
93,61 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 #0,1,0
Current State: 61:[57, 12], Operations: ['36+21=57', '24-12=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 57*12=684, Resulting Numbers: [684]
684,61 unequal: No Solution
Exploring Operation: 57+12=69, Resulting Numbers: [69]
69,61 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 #0,1,2
Current State: 61:[24, 45], Operations: ['36+21=57', '57-12=45']
Exploring Operation: 24*45=1080, Resulting Numbers: [1080]
1080,61 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 24+45=69, Resulting Numbers: [69]
69,61 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 #0,1,3
Current State: 61:[57, 2], Operations: ['36+21=57', '24/12=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,61 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,61 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: 61:[24, 21, 48], Operations: ['36+12=48']
Exploring Operation: 24+48=72, Resulting Numbers: [21, 72]
Generated Node #0,3,0: 61:[21, 72] Operation: 24+48=72
Exploring Operation: 24-21=3, Resulting Numbers: [48, 3]
Generated Node #0,3,1: 61:[48, 3] Operation: 24-21=3
Exploring Operation: 21+48=69, Resulting Numbers: [24, 69]
Generated Node #0,3,2: 61:[24, 69] Operation: 21+48=69
Exploring Operation: 48-21=27, Resulting Numbers: [24, 27]
Generated Node #0,3,3: 61:[24, 27] Operation: 48-21=27
Exploring Operation: 24+21=45, Resulting Numbers: [48, 45]
Generated Node #0,3,4: 61:[48, 45] Operation: 24+21=45
Moving to Node #0,2,3
Current State: 61:[60, 33], Operations: ['24+36=60', '21+12=33']
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 60*33=1980, Resulting Numbers: [1980]
1980,61 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Moving to Node #0,4,0
Current State: 61:[45, 48], Operations: ['24+21=45', '36+12=48']
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,61 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[36, 57], Operations: ['24+21=45', '12+45=57']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 36*57=2052, Resulting Numbers: [2052]
2052,61 unequal: No Solution
Exploring Operation: 36+57=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Moving to Node #0,3,4
Current State: 61:[48, 45], Operations: ['36+12=48', '24+21=45']
Exploring Operation: 48*45=2160, Resulting Numbers: [2160]
2160,61 unequal: No Solution
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[24, 69], Operations: ['36+12=48', '21+48=69']
Exploring Operation: 24+69=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 24*69=1656, Resulting Numbers: [1656]
1656,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[21, 72], Operations: ['36+12=48', '24+48=72']
Exploring Operation: 21*72=1512, Resulting Numbers: [1512]
1512,61 unequal: No Solution
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[21, 72], Operations: ['24+36=60', '12+60=72']
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 21*72=1512, Resulting Numbers: [1512]
1512,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[21, 48], Operations: ['24+36=60', '60-12=48']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,61 unequal: No Solution
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[60, 9], Operations: ['24+36=60', '21-12=9']
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[45, 24], Operations: ['24+21=45', '36-12=24']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[36, 33], Operations: ['24+21=45', '45-12=33']
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 36*33=1188, Resulting Numbers: [1188]
1188,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[12, 81], Operations: ['24+21=45', '36+45=81']
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,61 unequal: No Solution
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[12, 81], Operations: ['24+36=60', '21+60=81']
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,61 unequal: No Solution
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,61 unequal: No Solution
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[48, 3], Operations: ['36+12=48', '24-21=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,61 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[24, 27], Operations: ['36+12=48', '48-21=27']
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,61 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,61 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
17,
13,
67,
11
] | 14 | [
"17*13=221",
"221-67=154",
"154/11=14"
] | Current State: 14:[17, 13, 67, 11], Operations: []
Exploring Operation: 17*13=221, Resulting Numbers: [67, 11, 221]
Generated Node #2: [67, 11, 221] from Operation: 17*13=221
Current State: 14:[67, 11, 221], Operations: ['17*13=221']
Exploring Operation: 221-67=154, Resulting Numbers: [11, 154]
Generated Node #3: [11, 154] from Operation: 221-67=154
Current State: 14:[11, 154], Operations: ['17*13=221', '221-67=154']
Exploring Operation: 154/11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[17, 13, 67, 11], Operations: []
Exploring Operation: 67-17=50, Resulting Numbers: [13, 11, 50]
Generated Node #0,0: 14:[13, 11, 50] Operation: 67-17=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[13, 11, 50], Operations: ['67-17=50']
Exploring Operation: 50-13=37, Resulting Numbers: [11, 37]
Generated Node #0,0,0: 14:[11, 37] Operation: 50-13=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[11, 37], Operations: ['67-17=50', '50-13=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,14 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 |
[
36,
95,
16,
77
] | 70 | [
"36+95=131",
"77-16=61",
"131-61=70"
] | Current State: 70:[36, 95, 16, 77], Operations: []
Exploring Operation: 36+95=131, Resulting Numbers: [16, 77, 131]
Generated Node #2: [16, 77, 131] from Operation: 36+95=131
Current State: 70:[16, 77, 131], Operations: ['36+95=131']
Exploring Operation: 77-16=61, Resulting Numbers: [131, 61]
Generated Node #3: [131, 61] from Operation: 77-16=61
Current State: 70:[131, 61], Operations: ['36+95=131', '77-16=61']
Exploring Operation: 131-61=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[36, 95, 16, 77], Operations: []
Exploring Operation: 95-36=59, Resulting Numbers: [16, 77, 59]
Generated Node #0,0: 70:[16, 77, 59] Operation: 95-36=59
Exploring Operation: 95-77=18, Resulting Numbers: [36, 16, 18]
Generated Node #0,1: 70:[36, 16, 18] Operation: 95-77=18
Exploring Operation: 95-16=79, Resulting Numbers: [36, 77, 79]
Generated Node #0,2: 70:[36, 77, 79] Operation: 95-16=79
Moving to Node #0,1
Current State: 70:[36, 16, 18], Operations: ['95-77=18']
Exploring Operation: 36/18=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 70:[16, 2] Operation: 36/18=2
Exploring Operation: 16+18=34, Resulting Numbers: [36, 34]
Generated Node #0,1,1: 70:[36, 34] Operation: 16+18=34
Exploring Operation: 18-16=2, Resulting Numbers: [36, 2]
Generated Node #0,1,2: 70:[36, 2] Operation: 18-16=2
Moving to Node #0,2
Current State: 70:[36, 77, 79], Operations: ['95-16=79']
Exploring Operation: 79-77=2, Resulting Numbers: [36, 2]
Generated Node #0,2,0: 70:[36, 2] Operation: 79-77=2
Exploring Operation: 79-36=43, Resulting Numbers: [77, 43]
Generated Node #0,2,1: 70:[77, 43] Operation: 79-36=43
Exploring Operation: 77-36=41, Resulting Numbers: [79, 41]
Generated Node #0,2,2: 70:[79, 41] Operation: 77-36=41
Moving to Node #0,0
Current State: 70:[16, 77, 59], Operations: ['95-36=59']
Exploring Operation: 59-16=43, Resulting Numbers: [77, 43]
Generated Node #0,0,0: 70:[77, 43] Operation: 59-16=43
Exploring Operation: 16+59=75, Resulting Numbers: [77, 75]
Generated Node #0,0,1: 70:[77, 75] Operation: 16+59=75
Exploring Operation: 77-59=18, Resulting Numbers: [16, 18]
Generated Node #0,0,2: 70:[16, 18] Operation: 77-59=18
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[16, 18], Operations: ['95-36=59', '77-59=18']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 16*18=288, Resulting Numbers: [288]
288,70 unequal: No Solution
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,70 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 #0,0,1
Current State: 70:[77, 75], Operations: ['95-36=59', '16+59=75']
Exploring Operation: 77*75=5775, Resulting Numbers: [5775]
5775,70 unequal: No Solution
Exploring Operation: 77+75=152, Resulting Numbers: [152]
152,70 unequal: No Solution
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,70 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 #0,0,0
Current State: 70:[77, 43], Operations: ['95-36=59', '59-16=43']
Exploring Operation: 77+43=120, Resulting Numbers: [120]
120,70 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 77*43=3311, Resulting Numbers: [3311]
3311,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 70:[36, 2], Operations: ['95-77=18', '18-16=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[36, 2], Operations: ['95-16=79', '79-77=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,70 unequal: No Solution
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[36, 34], Operations: ['95-77=18', '16+18=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[36, 95, 16, 77], Operations: []
Exploring Operation: 95-77=18, Resulting Numbers: [36, 16, 18]
Generated Node #0,1: 70:[36, 16, 18] Operation: 95-77=18
Moving to Node #0,1
Current State: 70:[36, 16, 18], Operations: ['95-77=18']
Exploring Operation: 16+18=34, Resulting Numbers: [36, 34]
Generated Node #0,1,1: 70:[36, 34] Operation: 16+18=34
Moving to Node #0,1,1
Current State: 70:[36, 34], Operations: ['95-77=18', '16+18=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.972222 | hs_3 | sum_heuristic |
[
3,
60,
45,
13
] | 95 | [
"3+60=63",
"45-13=32",
"63+32=95"
] | Current State: 95:[3, 60, 45, 13], Operations: []
Exploring Operation: 3+60=63, Resulting Numbers: [45, 13, 63]
Generated Node #2: [45, 13, 63] from Operation: 3+60=63
Current State: 95:[45, 13, 63], Operations: ['3+60=63']
Exploring Operation: 45-13=32, Resulting Numbers: [63, 32]
Generated Node #3: [63, 32] from Operation: 45-13=32
Current State: 95:[63, 32], Operations: ['3+60=63', '45-13=32']
Exploring Operation: 63+32=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[3, 60, 45, 13], Operations: []
Exploring Operation: 60+45=105, Resulting Numbers: [3, 13, 105]
Generated Node #0,0: 95:[3, 13, 105] Operation: 60+45=105
Exploring Operation: 60-45=15, Resulting Numbers: [3, 13, 15]
Generated Node #0,1: 95:[3, 13, 15] Operation: 60-45=15
Exploring Operation: 60/3=20, Resulting Numbers: [45, 13, 20]
Generated Node #0,2: 95:[45, 13, 20] Operation: 60/3=20
Exploring Operation: 45/3=15, Resulting Numbers: [60, 13, 15]
Generated Node #0,3: 95:[60, 13, 15] Operation: 45/3=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[3, 13, 15], Operations: ['60-45=15']
Exploring Operation: 15-13=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 95:[3, 2] Operation: 15-13=2
Exploring Operation: 3+13=16, Resulting Numbers: [15, 16]
Generated Node #0,1,1: 95:[15, 16] Operation: 3+13=16
Exploring Operation: 3+15=18, Resulting Numbers: [13, 18]
Generated Node #0,1,2: 95:[13, 18] Operation: 3+15=18
Exploring Operation: 15/3=5, Resulting Numbers: [13, 5]
Generated Node #0,1,3: 95:[13, 5] Operation: 15/3=5
Moving to Node #0,1,0
Current State: 95:[3, 2], Operations: ['60-45=15', '15-13=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[13, 5], Operations: ['60-45=15', '15/3=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,95 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[13, 18], Operations: ['60-45=15', '3+15=18']
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,95 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[15, 16], Operations: ['60-45=15', '3+13=16']
Exploring Operation: 15*16=240, Resulting Numbers: [240]
240,95 unequal: No Solution
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,95 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: 95:[3, 13, 105], Operations: ['60+45=105']
Exploring Operation: 3+13=16, Resulting Numbers: [105, 16]
Generated Node #0,0,0: 95:[105, 16] Operation: 3+13=16
Exploring Operation: 13-3=10, Resulting Numbers: [105, 10]
Generated Node #0,0,1: 95:[105, 10] Operation: 13-3=10
Exploring Operation: 105-13=92, Resulting Numbers: [3, 92]
Generated Node #0,0,2: 95:[3, 92] Operation: 105-13=92
Exploring Operation: 105-3=102, Resulting Numbers: [13, 102]
Generated Node #0,0,3: 95:[13, 102] Operation: 105-3=102
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[3, 92], Operations: ['60+45=105', '105-13=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[3, 60, 45, 13], Operations: []
Exploring Operation: 60+45=105, Resulting Numbers: [3, 13, 105]
Generated Node #0,0: 95:[3, 13, 105] Operation: 60+45=105
Moving to Node #0,0
Current State: 95:[3, 13, 105], Operations: ['60+45=105']
Exploring Operation: 105-13=92, Resulting Numbers: [3, 92]
Generated Node #0,0,2: 95:[3, 92] Operation: 105-13=92
Moving to Node #0,0,2
Current State: 95:[3, 92], Operations: ['60+45=105', '105-13=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | sum_heuristic |
[
99,
2,
48,
13
] | 57 | [
"13-2=11",
"99/11=9",
"48+9=57"
] | Current State: 57:[99, 2, 48, 13], Operations: []
Exploring Operation: 13-2=11, Resulting Numbers: [99, 48, 11]
Generated Node #2: [99, 48, 11] from Operation: 13-2=11
Current State: 57:[99, 48, 11], Operations: ['13-2=11']
Exploring Operation: 99/11=9, Resulting Numbers: [48, 9]
Generated Node #3: [48, 9] from Operation: 99/11=9
Current State: 57:[48, 9], Operations: ['13-2=11', '99/11=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[99, 2, 48, 13], Operations: []
Exploring Operation: 99-48=51, Resulting Numbers: [2, 13, 51]
Generated Node #0,0: 57:[2, 13, 51] Operation: 99-48=51
Exploring Operation: 99-13=86, Resulting Numbers: [2, 48, 86]
Generated Node #0,1: 57:[2, 48, 86] Operation: 99-13=86
Moving to Node #0,0
Current State: 57:[2, 13, 51], Operations: ['99-48=51']
Exploring Operation: 13+51=64, Resulting Numbers: [2, 64]
Generated Node #0,0,0: 57:[2, 64] Operation: 13+51=64
Exploring Operation: 2+13=15, Resulting Numbers: [51, 15]
Generated Node #0,0,1: 57:[51, 15] Operation: 2+13=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[2, 64], Operations: ['99-48=51', '13+51=64']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,57 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,57 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: 57:[51, 15], Operations: ['99-48=51', '2+13=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,57 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,57 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: 57:[2, 48, 86], Operations: ['99-13=86']
Exploring Operation: 86-48=38, Resulting Numbers: [2, 38]
Generated Node #0,1,0: 57:[2, 38] Operation: 86-48=38
Exploring Operation: 86/2=43, Resulting Numbers: [48, 43]
Generated Node #0,1,1: 57:[48, 43] Operation: 86/2=43
Moving to Node #0,1,0
Current State: 57:[2, 38], Operations: ['99-13=86', '86-48=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,57 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[48, 43], Operations: ['99-13=86', '86/2=43']
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,57 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,57 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
98,
39,
44
] | 72 | [
"44-39=5",
"34*5=170",
"170-98=72"
] | Current State: 72:[34, 98, 39, 44], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [34, 98, 5]
Generated Node #2: [34, 98, 5] from Operation: 44-39=5
Current State: 72:[34, 98, 5], Operations: ['44-39=5']
Exploring Operation: 34*5=170, Resulting Numbers: [98, 170]
Generated Node #3: [98, 170] from Operation: 34*5=170
Current State: 72:[98, 170], Operations: ['44-39=5', '34*5=170']
Exploring Operation: 170-98=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[34, 98, 39, 44], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [34, 44, 59]
Generated Node #0,0: 72:[34, 44, 59] Operation: 98-39=59
Exploring Operation: 98-34=64, Resulting Numbers: [39, 44, 64]
Generated Node #0,1: 72:[39, 44, 64] Operation: 98-34=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[39, 44, 64], Operations: ['98-34=64']
Exploring Operation: 64-44=20, Resulting Numbers: [39, 20]
Generated Node #0,1,0: 72:[39, 20] Operation: 64-44=20
Exploring Operation: 44-39=5, Resulting Numbers: [64, 5]
Generated Node #0,1,1: 72:[64, 5] Operation: 44-39=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 72:[39, 20], Operations: ['98-34=64', '64-44=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,72 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: 72:[64, 5], Operations: ['98-34=64', '44-39=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,72 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: 72:[34, 44, 59], Operations: ['98-39=59']
Exploring Operation: 59-34=25, Resulting Numbers: [44, 25]
Generated Node #0,0,0: 72:[44, 25] Operation: 59-34=25
Exploring Operation: 59-44=15, Resulting Numbers: [34, 15]
Generated Node #0,0,1: 72:[34, 15] Operation: 59-44=15
Moving to Node #0,0,1
Current State: 72:[34, 15], Operations: ['98-39=59', '59-44=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[44, 25], Operations: ['98-39=59', '59-34=25']
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,72 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 |
[
42,
48,
57,
5
] | 16 | [
"57-42=15",
"48*5=240",
"240/15=16"
] | Current State: 16:[42, 48, 57, 5], Operations: []
Exploring Operation: 57-42=15, Resulting Numbers: [48, 5, 15]
Generated Node #2: [48, 5, 15] from Operation: 57-42=15
Current State: 16:[48, 5, 15], Operations: ['57-42=15']
Exploring Operation: 48*5=240, Resulting Numbers: [15, 240]
Generated Node #3: [15, 240] from Operation: 48*5=240
Current State: 16:[15, 240], Operations: ['57-42=15', '48*5=240']
Exploring Operation: 240/15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[42, 48, 57, 5], Operations: []
Exploring Operation: 57-48=9, Resulting Numbers: [42, 5, 9]
Generated Node #0,0: 16:[42, 5, 9] Operation: 57-48=9
Moving to Node #0,0
Current State: 16:[42, 5, 9], Operations: ['57-48=9']
Exploring Operation: 42-9=33, Resulting Numbers: [5, 33]
Generated Node #0,0,0: 16:[5, 33] Operation: 42-9=33
Moving to Node #0,0,0
Current State: 16:[5, 33], Operations: ['57-48=9', '42-9=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,16 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
81,
9,
45,
64
] | 68 | [
"81-45=36",
"36/9=4",
"64+4=68"
] | Current State: 68:[81, 9, 45, 64], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [9, 64, 36]
Generated Node #2: [9, 64, 36] from Operation: 81-45=36
Current State: 68:[9, 64, 36], Operations: ['81-45=36']
Exploring Operation: 36/9=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 36/9=4
Current State: 68:[64, 4], Operations: ['81-45=36', '36/9=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[81, 9, 45, 64], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [81, 64, 5]
Generated Node #0,0: 68:[81, 64, 5] Operation: 45/9=5
Exploring Operation: 81-45=36, Resulting Numbers: [9, 64, 36]
Generated Node #0,1: 68:[9, 64, 36] Operation: 81-45=36
Exploring Operation: 81-64=17, Resulting Numbers: [9, 45, 17]
Generated Node #0,2: 68:[9, 45, 17] Operation: 81-64=17
Moving to Node #0,1
Current State: 68:[9, 64, 36], Operations: ['81-45=36']
Exploring Operation: 36/9=4, Resulting Numbers: [64, 4]
Generated Node #0,1,0: 68:[64, 4] Operation: 36/9=4
Exploring Operation: 9+64=73, Resulting Numbers: [36, 73]
Generated Node #0,1,1: 68:[36, 73] Operation: 9+64=73
Exploring Operation: 36-9=27, Resulting Numbers: [64, 27]
Generated Node #0,1,2: 68:[64, 27] Operation: 36-9=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[64, 4], Operations: ['81-45=36', '36/9=4']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[81, 9, 45, 64], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [9, 64, 36]
Generated Node #0,1: 68:[9, 64, 36] Operation: 81-45=36
Moving to Node #0,1
Current State: 68:[9, 64, 36], Operations: ['81-45=36']
Exploring Operation: 36/9=4, Resulting Numbers: [64, 4]
Generated Node #0,1,0: 68:[64, 4] Operation: 36/9=4
Moving to Node #0,1,0
Current State: 68:[64, 4], Operations: ['81-45=36', '36/9=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
30,
31,
15,
3
] | 16 | [
"30+31=61",
"15*3=45",
"61-45=16"
] | Current State: 16:[30, 31, 15, 3], Operations: []
Exploring Operation: 30+31=61, Resulting Numbers: [15, 3, 61]
Generated Node #2: [15, 3, 61] from Operation: 30+31=61
Current State: 16:[15, 3, 61], Operations: ['30+31=61']
Exploring Operation: 15*3=45, Resulting Numbers: [61, 45]
Generated Node #3: [61, 45] from Operation: 15*3=45
Current State: 16:[61, 45], Operations: ['30+31=61', '15*3=45']
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[30, 31, 15, 3], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [30, 3, 16]
Generated Node #0,0: 16:[30, 3, 16] Operation: 31-15=16
Exploring Operation: 30/15=2, Resulting Numbers: [31, 3, 2]
Generated Node #0,1: 16:[31, 3, 2] Operation: 30/15=2
Exploring Operation: 31-30=1, Resulting Numbers: [15, 3, 1]
Generated Node #0,2: 16:[15, 3, 1] Operation: 31-30=1
Moving to Node #0,2
Current State: 16:[15, 3, 1], Operations: ['31-30=1']
Exploring Operation: 3-1=2, Resulting Numbers: [15, 2]
Generated Node #0,2,0: 16:[15, 2] Operation: 3-1=2
Exploring Operation: 3+1=4, Resulting Numbers: [15, 4]
Generated Node #0,2,1: 16:[15, 4] Operation: 3+1=4
Exploring Operation: 15+1=16, Resulting Numbers: [3, 16]
Generated Node #0,2,2: 16:[3, 16] Operation: 15+1=16
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[15, 2], Operations: ['31-30=1', '3-1=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,16 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: 16:[15, 4], Operations: ['31-30=1', '3+1=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,16 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: 16:[3, 16], Operations: ['31-30=1', '15+1=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,16 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,16 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: 16:[30, 3, 16], Operations: ['31-15=16']
Exploring Operation: 30-3=27, Resulting Numbers: [16, 27]
Generated Node #0,0,0: 16:[16, 27] Operation: 30-3=27
Exploring Operation: 30/3=10, Resulting Numbers: [16, 10]
Generated Node #0,0,1: 16:[16, 10] Operation: 30/3=10
Exploring Operation: 30-16=14, Resulting Numbers: [3, 14]
Generated Node #0,0,2: 16:[3, 14] Operation: 30-16=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[16, 10], Operations: ['31-15=16', '30/3=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,16 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,16 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: 16:[3, 14], Operations: ['31-15=16', '30-16=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,16 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,16 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: 16:[16, 27], Operations: ['31-15=16', '30-3=27']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,16 unequal: No Solution
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,16 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: 16:[31, 3, 2], Operations: ['30/15=2']
Exploring Operation: 3+2=5, Resulting Numbers: [31, 5]
Generated Node #0,1,0: 16:[31, 5] Operation: 3+2=5
Exploring Operation: 31-2=29, Resulting Numbers: [3, 29]
Generated Node #0,1,1: 16:[3, 29] Operation: 31-2=29
Exploring Operation: 31-3=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 16:[2, 28] Operation: 31-3=28
Moving to Node #0,1,2
Current State: 16:[2, 28], Operations: ['30/15=2', '31-3=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,16 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[3, 29], Operations: ['30/15=2', '31-2=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,16 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[31, 5], Operations: ['30/15=2', '3+2=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,16 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,16 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
93,
69,
45,
31
] | 10 | [
"93-69=24",
"45-31=14",
"24-14=10"
] | Current State: 10:[93, 69, 45, 31], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [45, 31, 24]
Generated Node #2: [45, 31, 24] from Operation: 93-69=24
Current State: 10:[45, 31, 24], Operations: ['93-69=24']
Exploring Operation: 45-31=14, Resulting Numbers: [24, 14]
Generated Node #3: [24, 14] from Operation: 45-31=14
Current State: 10:[24, 14], Operations: ['93-69=24', '45-31=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[93, 69, 45, 31], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [45, 31, 24]
Generated Node #0,0: 10:[45, 31, 24] Operation: 93-69=24
Moving to Node #0,0
Current State: 10:[45, 31, 24], Operations: ['93-69=24']
Exploring Operation: 45-31=14, Resulting Numbers: [24, 14]
Generated Node #0,0,0: 10:[24, 14] Operation: 45-31=14
Moving to Node #0,0,0
Current State: 10:[24, 14], Operations: ['93-69=24', '45-31=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[93, 69, 45, 31], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [45, 31, 24]
Generated Node #0,0: 10:[45, 31, 24] Operation: 93-69=24
Moving to Node #0,0
Current State: 10:[45, 31, 24], Operations: ['93-69=24']
Exploring Operation: 45-31=14, Resulting Numbers: [24, 14]
Generated Node #0,0,0: 10:[24, 14] Operation: 45-31=14
Moving to Node #0,0,0
Current State: 10:[24, 14], Operations: ['93-69=24', '45-31=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
24,
47,
31,
45
] | 99 | [
"47-24=23",
"31+45=76",
"23+76=99"
] | Current State: 99:[24, 47, 31, 45], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [31, 45, 23]
Generated Node #2: [31, 45, 23] from Operation: 47-24=23
Current State: 99:[31, 45, 23], Operations: ['47-24=23']
Exploring Operation: 31+45=76, Resulting Numbers: [23, 76]
Generated Node #3: [23, 76] from Operation: 31+45=76
Current State: 99:[23, 76], Operations: ['47-24=23', '31+45=76']
Exploring Operation: 23+76=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[24, 47, 31, 45], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [24, 31, 92]
Generated Node #0,0: 99:[24, 31, 92] Operation: 47+45=92
Exploring Operation: 47-45=2, Resulting Numbers: [24, 31, 2]
Generated Node #0,1: 99:[24, 31, 2] Operation: 47-45=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[24, 31, 2], Operations: ['47-45=2']
Exploring Operation: 31-24=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 99:[2, 7] Operation: 31-24=7
Exploring Operation: 24/2=12, Resulting Numbers: [31, 12]
Generated Node #0,1,1: 99:[31, 12] Operation: 24/2=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[2, 7], Operations: ['47-45=2', '31-24=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,99 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: 99:[31, 12], Operations: ['47-45=2', '24/2=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,99 unequal: No Solution
Exploring Operation: 31+12=43, Resulting Numbers: [43]
43,99 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: 99:[24, 31, 92], Operations: ['47+45=92']
Exploring Operation: 31-24=7, Resulting Numbers: [92, 7]
Generated Node #0,0,0: 99:[92, 7] Operation: 31-24=7
Exploring Operation: 24+92=116, Resulting Numbers: [31, 116]
Generated Node #0,0,1: 99:[31, 116] Operation: 24+92=116
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[92, 7], Operations: ['47+45=92', '31-24=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[24, 47, 31, 45], Operations: []
Exploring Operation: 47+45=92, Resulting Numbers: [24, 31, 92]
Generated Node #0,0: 99:[24, 31, 92] Operation: 47+45=92
Moving to Node #0,0
Current State: 99:[24, 31, 92], Operations: ['47+45=92']
Exploring Operation: 31-24=7, Resulting Numbers: [92, 7]
Generated Node #0,0,0: 99:[92, 7] Operation: 31-24=7
Moving to Node #0,0,0
Current State: 99:[92, 7], Operations: ['47+45=92', '31-24=7']
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
85,
29,
10,
51
] | 65 | [
"29+10=39",
"85*39=3315",
"3315/51=65"
] | Current State: 65:[85, 29, 10, 51], Operations: []
Exploring Operation: 29+10=39, Resulting Numbers: [85, 51, 39]
Generated Node #2: [85, 51, 39] from Operation: 29+10=39
Current State: 65:[85, 51, 39], Operations: ['29+10=39']
Exploring Operation: 85*39=3315, Resulting Numbers: [51, 3315]
Generated Node #3: [51, 3315] from Operation: 85*39=3315
Current State: 65:[51, 3315], Operations: ['29+10=39', '85*39=3315']
Exploring Operation: 3315/51=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[85, 29, 10, 51], Operations: []
Exploring Operation: 29+51=80, Resulting Numbers: [85, 10, 80]
Generated Node #0,0: 65:[85, 10, 80] Operation: 29+51=80
Exploring Operation: 85-29=56, Resulting Numbers: [10, 51, 56]
Generated Node #0,1: 65:[10, 51, 56] Operation: 85-29=56
Exploring Operation: 85-10=75, Resulting Numbers: [29, 51, 75]
Generated Node #0,2: 65:[29, 51, 75] Operation: 85-10=75
Exploring Operation: 51-29=22, Resulting Numbers: [85, 10, 22]
Generated Node #0,3: 65:[85, 10, 22] Operation: 51-29=22
Moving to Node #0,1
Current State: 65:[10, 51, 56], Operations: ['85-29=56']
Exploring Operation: 51-10=41, Resulting Numbers: [56, 41]
Generated Node #0,1,0: 65:[56, 41] Operation: 51-10=41
Exploring Operation: 10+51=61, Resulting Numbers: [56, 61]
Generated Node #0,1,1: 65:[56, 61] Operation: 10+51=61
Exploring Operation: 56-51=5, Resulting Numbers: [10, 5]
Generated Node #0,1,2: 65:[10, 5] Operation: 56-51=5
Exploring Operation: 10+56=66, Resulting Numbers: [51, 66]
Generated Node #0,1,3: 65:[51, 66] Operation: 10+56=66
Moving to Node #0,3
Current State: 65:[85, 10, 22], Operations: ['51-29=22']
Exploring Operation: 85-10=75, Resulting Numbers: [22, 75]
Generated Node #0,3,0: 65:[22, 75] Operation: 85-10=75
Exploring Operation: 85+10=95, Resulting Numbers: [22, 95]
Generated Node #0,3,1: 65:[22, 95] Operation: 85+10=95
Exploring Operation: 85-22=63, Resulting Numbers: [10, 63]
Generated Node #0,3,2: 65:[10, 63] Operation: 85-22=63
Exploring Operation: 22-10=12, Resulting Numbers: [85, 12]
Generated Node #0,3,3: 65:[85, 12] Operation: 22-10=12
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 65:[10, 63], Operations: ['51-29=22', '85-22=63']
Exploring Operation: 10*63=630, Resulting Numbers: [630]
630,65 unequal: No Solution
Exploring Operation: 10+63=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,65 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: 65:[22, 75], Operations: ['51-29=22', '85-10=75']
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,65 unequal: No Solution
Exploring Operation: 22*75=1650, Resulting Numbers: [1650]
1650,65 unequal: No Solution
Exploring Operation: 22+75=97, Resulting Numbers: [97]
97,65 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: 65:[85, 12], Operations: ['51-29=22', '22-10=12']
Exploring Operation: 85+12=97, Resulting Numbers: [97]
97,65 unequal: No Solution
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,65 unequal: No Solution
Exploring Operation: 85*12=1020, Resulting Numbers: [1020]
1020,65 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: 65:[22, 95], Operations: ['51-29=22', '85+10=95']
Exploring Operation: 22*95=2090, Resulting Numbers: [2090]
2090,65 unequal: No Solution
Exploring Operation: 22+95=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,65 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: 65:[85, 10, 80], Operations: ['29+51=80']
Exploring Operation: 85-10=75, Resulting Numbers: [80, 75]
Generated Node #0,0,0: 65:[80, 75] Operation: 85-10=75
Exploring Operation: 80/10=8, Resulting Numbers: [85, 8]
Generated Node #0,0,1: 65:[85, 8] Operation: 80/10=8
Exploring Operation: 80-10=70, Resulting Numbers: [85, 70]
Generated Node #0,0,2: 65:[85, 70] Operation: 80-10=70
Exploring Operation: 85-80=5, Resulting Numbers: [10, 5]
Generated Node #0,0,3: 65:[10, 5] Operation: 85-80=5
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 65:[10, 5], Operations: ['29+51=80', '85-80=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,65 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,65 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: 65:[85, 8], Operations: ['29+51=80', '80/10=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,65 unequal: No Solution
Exploring Operation: 85*8=680, Resulting Numbers: [680]
680,65 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,65 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: 65:[80, 75], Operations: ['29+51=80', '85-10=75']
Exploring Operation: 80+75=155, Resulting Numbers: [155]
155,65 unequal: No Solution
Exploring Operation: 80*75=6000, Resulting Numbers: [6000]
6000,65 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,65 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: 65:[85, 70], Operations: ['29+51=80', '80-10=70']
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 85*70=5950, Resulting Numbers: [5950]
5950,65 unequal: No Solution
Exploring Operation: 85+70=155, Resulting Numbers: [155]
155,65 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: 65:[29, 51, 75], Operations: ['85-10=75']
Exploring Operation: 51-29=22, Resulting Numbers: [75, 22]
Generated Node #0,2,0: 65:[75, 22] Operation: 51-29=22
Exploring Operation: 75-51=24, Resulting Numbers: [29, 24]
Generated Node #0,2,1: 65:[29, 24] Operation: 75-51=24
Exploring Operation: 29+51=80, Resulting Numbers: [75, 80]
Generated Node #0,2,2: 65:[75, 80] Operation: 29+51=80
Exploring Operation: 75-29=46, Resulting Numbers: [51, 46]
Generated Node #0,2,3: 65:[51, 46] Operation: 75-29=46
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[75, 22], Operations: ['85-10=75', '51-29=22']
Exploring Operation: 75-22=53, Resulting Numbers: [53]
53,65 unequal: No Solution
Exploring Operation: 75*22=1650, Resulting Numbers: [1650]
1650,65 unequal: No Solution
Exploring Operation: 75+22=97, Resulting Numbers: [97]
97,65 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: 65:[75, 80], Operations: ['85-10=75', '29+51=80']
Exploring Operation: 75+80=155, Resulting Numbers: [155]
155,65 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 75*80=6000, Resulting Numbers: [6000]
6000,65 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: 65:[29, 24], Operations: ['85-10=75', '75-51=24']
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,65 unequal: No Solution
Exploring Operation: 29*24=696, Resulting Numbers: [696]
696,65 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: 65:[51, 46], Operations: ['85-10=75', '75-29=46']
Exploring Operation: 51*46=2346, Resulting Numbers: [2346]
2346,65 unequal: No Solution
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 51+46=97, Resulting Numbers: [97]
97,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 65:[10, 5], Operations: ['85-29=56', '56-51=5']
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,65 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[56, 61], Operations: ['85-29=56', '10+51=61']
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[51, 66], Operations: ['85-29=56', '10+56=66']
Exploring Operation: 51+66=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 51*66=3366, Resulting Numbers: [3366]
3366,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[56, 41], Operations: ['85-29=56', '51-10=41']
Exploring Operation: 56*41=2296, Resulting Numbers: [2296]
2296,65 unequal: No Solution
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,65 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
37,
29,
28,
58
] | 63 | [
"37+28=65",
"58/29=2",
"65-2=63"
] | Current State: 63:[37, 29, 28, 58], Operations: []
Exploring Operation: 37+28=65, Resulting Numbers: [29, 58, 65]
Generated Node #2: [29, 58, 65] from Operation: 37+28=65
Current State: 63:[29, 58, 65], Operations: ['37+28=65']
Exploring Operation: 58/29=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 58/29=2
Current State: 63:[65, 2], Operations: ['37+28=65', '58/29=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[37, 29, 28, 58], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [29, 58, 9]
Generated Node #0,0: 63:[29, 58, 9] Operation: 37-28=9
Exploring Operation: 37-29=8, Resulting Numbers: [28, 58, 8]
Generated Node #0,1: 63:[28, 58, 8] Operation: 37-29=8
Exploring Operation: 37+29=66, Resulting Numbers: [28, 58, 66]
Generated Node #0,2: 63:[28, 58, 66] Operation: 37+29=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[29, 58, 9], Operations: ['37-28=9']
Exploring Operation: 29-9=20, Resulting Numbers: [58, 20]
Generated Node #0,0,0: 63:[58, 20] Operation: 29-9=20
Exploring Operation: 58-29=29, Resulting Numbers: [9, 29]
Generated Node #0,0,1: 63:[9, 29] Operation: 58-29=29
Exploring Operation: 58/29=2, Resulting Numbers: [9, 2]
Generated Node #0,0,2: 63:[9, 2] Operation: 58/29=2
Moving to Node #0,0,2
Current State: 63:[9, 2], Operations: ['37-28=9', '58/29=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[58, 20], Operations: ['37-28=9', '29-9=20']
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,63 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[9, 29], Operations: ['37-28=9', '58-29=29']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 9*29=261, Resulting Numbers: [261]
261,63 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 #0,1
Current State: 63:[28, 58, 8], Operations: ['37-29=8']
Exploring Operation: 28-8=20, Resulting Numbers: [58, 20]
Generated Node #0,1,0: 63:[58, 20] Operation: 28-8=20
Exploring Operation: 58+8=66, Resulting Numbers: [28, 66]
Generated Node #0,1,1: 63:[28, 66] Operation: 58+8=66
Exploring Operation: 58-28=30, Resulting Numbers: [8, 30]
Generated Node #0,1,2: 63:[8, 30] Operation: 58-28=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[58, 20], Operations: ['37-29=8', '28-8=20']
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,63 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,63 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 #0,1,1
Current State: 63:[28, 66], Operations: ['37-29=8', '58+8=66']
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,63 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,63 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 #0,1,2
Current State: 63:[8, 30], Operations: ['37-29=8', '58-28=30']
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,63 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,63 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,63 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[28, 58, 66], Operations: ['37+29=66']
Exploring Operation: 58-28=30, Resulting Numbers: [66, 30]
Generated Node #0,2,0: 63:[66, 30] Operation: 58-28=30
Exploring Operation: 66-58=8, Resulting Numbers: [28, 8]
Generated Node #0,2,1: 63:[28, 8] Operation: 66-58=8
Exploring Operation: 66-28=38, Resulting Numbers: [58, 38]
Generated Node #0,2,2: 63:[58, 38] Operation: 66-28=38
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 63:[28, 8], Operations: ['37+29=66', '66-58=8']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 28*8=224, Resulting Numbers: [224]
224,63 unequal: No Solution
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,63 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 #0,2,0
Current State: 63:[66, 30], Operations: ['37+29=66', '58-28=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,63 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,63 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 #0,2,2
Current State: 63:[58, 38], Operations: ['37+29=66', '66-28=38']
Exploring Operation: 58+38=96, Resulting Numbers: [96]
96,63 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 58*38=2204, Resulting Numbers: [2204]
2204,63 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_3 | sum_heuristic |
[
52,
29,
49,
92
] | 45 | [
"52-29=23",
"92/23=4",
"49-4=45"
] | Current State: 45:[52, 29, 49, 92], Operations: []
Exploring Operation: 52-29=23, Resulting Numbers: [49, 92, 23]
Generated Node #2: [49, 92, 23] from Operation: 52-29=23
Current State: 45:[49, 92, 23], Operations: ['52-29=23']
Exploring Operation: 92/23=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 92/23=4
Current State: 45:[49, 4], Operations: ['52-29=23', '92/23=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[52, 29, 49, 92], Operations: []
Exploring Operation: 92-49=43, Resulting Numbers: [52, 29, 43]
Generated Node #0,0: 45:[52, 29, 43] Operation: 92-49=43
Exploring Operation: 92-52=40, Resulting Numbers: [29, 49, 40]
Generated Node #0,1: 45:[29, 49, 40] Operation: 92-52=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[52, 29, 43], Operations: ['92-49=43']
Exploring Operation: 43-29=14, Resulting Numbers: [52, 14]
Generated Node #0,0,0: 45:[52, 14] Operation: 43-29=14
Exploring Operation: 52-29=23, Resulting Numbers: [43, 23]
Generated Node #0,0,1: 45:[43, 23] Operation: 52-29=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[52, 14], Operations: ['92-49=43', '43-29=14']
Exploring Operation: 52+14=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,45 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: 45:[43, 23], Operations: ['92-49=43', '52-29=23']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,45 unequal: No Solution
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,45 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: 45:[29, 49, 40], Operations: ['92-52=40']
Exploring Operation: 49-29=20, Resulting Numbers: [40, 20]
Generated Node #0,1,0: 45:[40, 20] Operation: 49-29=20
Exploring Operation: 40-29=11, Resulting Numbers: [49, 11]
Generated Node #0,1,1: 45:[49, 11] Operation: 40-29=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[49, 11], Operations: ['92-52=40', '40-29=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,45 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: 45:[40, 20], Operations: ['92-52=40', '49-29=20']
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,45 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 |
[
14,
73,
7,
3
] | 25 | [
"14/7=2",
"73+2=75",
"75/3=25"
] | Current State: 25:[14, 73, 7, 3], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [73, 3, 2]
Generated Node #2: [73, 3, 2] from Operation: 14/7=2
Current State: 25:[73, 3, 2], Operations: ['14/7=2']
Exploring Operation: 73+2=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 73+2=75
Current State: 25:[3, 75], Operations: ['14/7=2', '73+2=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[14, 73, 7, 3], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [73, 3, 7]
Generated Node #0,0: 25:[73, 3, 7] Operation: 14-7=7
Exploring Operation: 73-7=66, Resulting Numbers: [14, 3, 66]
Generated Node #0,1: 25:[14, 3, 66] Operation: 73-7=66
Exploring Operation: 14/7=2, Resulting Numbers: [73, 3, 2]
Generated Node #0,2: 25:[73, 3, 2] Operation: 14/7=2
Exploring Operation: 73-14=59, Resulting Numbers: [7, 3, 59]
Generated Node #0,3: 25:[7, 3, 59] Operation: 73-14=59
Moving to Node #0,3
Current State: 25:[7, 3, 59], Operations: ['73-14=59']
Exploring Operation: 59-7=52, Resulting Numbers: [3, 52]
Generated Node #0,3,0: 25:[3, 52] Operation: 59-7=52
Exploring Operation: 7*3=21, Resulting Numbers: [59, 21]
Generated Node #0,3,1: 25:[59, 21] Operation: 7*3=21
Exploring Operation: 7-3=4, Resulting Numbers: [59, 4]
Generated Node #0,3,2: 25:[59, 4] Operation: 7-3=4
Exploring Operation: 59-3=56, Resulting Numbers: [7, 56]
Generated Node #0,3,3: 25:[7, 56] Operation: 59-3=56
Moving to Node #0,1
Current State: 25:[14, 3, 66], Operations: ['73-7=66']
Exploring Operation: 66/3=22, Resulting Numbers: [14, 22]
Generated Node #0,1,0: 25:[14, 22] Operation: 66/3=22
Exploring Operation: 14-3=11, Resulting Numbers: [66, 11]
Generated Node #0,1,1: 25:[66, 11] Operation: 14-3=11
Exploring Operation: 66-14=52, Resulting Numbers: [3, 52]
Generated Node #0,1,2: 25:[3, 52] Operation: 66-14=52
Exploring Operation: 66-3=63, Resulting Numbers: [14, 63]
Generated Node #0,1,3: 25:[14, 63] Operation: 66-3=63
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[14, 22], Operations: ['73-7=66', '66/3=22']
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,25 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 22-14=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 #0,1,2
Current State: 25:[3, 52], Operations: ['73-7=66', '66-14=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,25 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,25 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 #0,1,1
Current State: 25:[66, 11], Operations: ['73-7=66', '14-3=11']
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,25 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 #0,1,3
Current State: 25:[14, 63], Operations: ['73-7=66', '66-3=63']
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Exploring Operation: 14*63=882, Resulting Numbers: [882]
882,25 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,25 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: 25:[73, 3, 7], Operations: ['14-7=7']
Exploring Operation: 7-3=4, Resulting Numbers: [73, 4]
Generated Node #0,0,0: 25:[73, 4] Operation: 7-3=4
Exploring Operation: 73-3=70, Resulting Numbers: [7, 70]
Generated Node #0,0,1: 25:[7, 70] Operation: 73-3=70
Exploring Operation: 3*7=21, Resulting Numbers: [73, 21]
Generated Node #0,0,2: 25:[73, 21] Operation: 3*7=21
Exploring Operation: 73-7=66, Resulting Numbers: [3, 66]
Generated Node #0,0,3: 25:[3, 66] Operation: 73-7=66
Moving to Node #0,2
Current State: 25:[73, 3, 2], Operations: ['14/7=2']
Exploring Operation: 3+2=5, Resulting Numbers: [73, 5]
Generated Node #0,2,0: 25:[73, 5] Operation: 3+2=5
Exploring Operation: 73-3=70, Resulting Numbers: [2, 70]
Generated Node #0,2,1: 25:[2, 70] Operation: 73-3=70
Exploring Operation: 73-2=71, Resulting Numbers: [3, 71]
Generated Node #0,2,2: 25:[3, 71] Operation: 73-2=71
Exploring Operation: 3*2=6, Resulting Numbers: [73, 6]
Generated Node #0,2,3: 25:[73, 6] Operation: 3*2=6
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[73, 5], Operations: ['14/7=2', '3+2=5']
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,25 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 #0,2,1
Current State: 25:[2, 70], Operations: ['14/7=2', '73-3=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,25 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,25 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:[3, 71], Operations: ['14/7=2', '73-2=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 3*71=213, Resulting Numbers: [213]
213,25 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:[73, 6], Operations: ['14/7=2', '3*2=6']
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,25 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 25:[3, 52], Operations: ['73-14=59', '59-7=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 3*52=156, Resulting Numbers: [156]
156,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[7, 56], Operations: ['73-14=59', '59-3=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Exploring Operation: 7*56=392, Resulting Numbers: [392]
392,25 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,25 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[59, 4], Operations: ['73-14=59', '7-3=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[59, 21], Operations: ['73-14=59', '7*3=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,25 unequal: No Solution
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 59*21=1239, Resulting Numbers: [1239]
1239,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[3, 66], Operations: ['14-7=7', '73-7=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,25 unequal: No Solution
Exploring Operation: 3*66=198, Resulting Numbers: [198]
198,25 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[7, 70], Operations: ['14-7=7', '73-3=70']
Exploring Operation: 7*70=490, Resulting Numbers: [490]
490,25 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 7+70=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[73, 4], Operations: ['14-7=7', '7-3=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,25 unequal: No Solution
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,25 unequal: No Solution
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[73, 21], Operations: ['14-7=7', '3*7=21']
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,25 unequal: No Solution
Exploring Operation: 73*21=1533, Resulting Numbers: [1533]
1533,25 unequal: No Solution
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,25 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
6,
66,
58,
60
] | 37 | [
"66+60=126",
"126/6=21",
"58-21=37"
] | Current State: 37:[6, 66, 58, 60], Operations: []
Exploring Operation: 66+60=126, Resulting Numbers: [6, 58, 126]
Generated Node #2: [6, 58, 126] from Operation: 66+60=126
Current State: 37:[6, 58, 126], Operations: ['66+60=126']
Exploring Operation: 126/6=21, Resulting Numbers: [58, 21]
Generated Node #3: [58, 21] from Operation: 126/6=21
Current State: 37:[58, 21], Operations: ['66+60=126', '126/6=21']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[6, 66, 58, 60], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [66, 60, 52]
Generated Node #0,0: 37:[66, 60, 52] Operation: 58-6=52
Exploring Operation: 66-6=60, Resulting Numbers: [58, 60, 60]
Generated Node #0,1: 37:[58, 60, 60] Operation: 66-6=60
Moving to Node #0,0
Current State: 37:[66, 60, 52], Operations: ['58-6=52']
Exploring Operation: 66-52=14, Resulting Numbers: [60, 14]
Generated Node #0,0,0: 37:[60, 14] Operation: 66-52=14
Exploring Operation: 66-60=6, Resulting Numbers: [52, 6]
Generated Node #0,0,1: 37:[52, 6] Operation: 66-60=6
Moving to Node #0,1
Current State: 37:[58, 60, 60], Operations: ['66-6=60']
Exploring Operation: 60-58=2, Resulting Numbers: [60, 2]
Generated Node #0,1,0: 37:[60, 2] Operation: 60-58=2
Exploring Operation: 60/60=1, Resulting Numbers: [58, 1]
Generated Node #0,1,1: 37:[58, 1] Operation: 60/60=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[58, 1], Operations: ['66-6=60', '60/60=1']
Exploring Operation: 58*1=58, Resulting Numbers: [58]
58,37 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,37 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 #0,1,0
Current State: 37:[60, 2], Operations: ['66-6=60', '60-58=2']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,37 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: 37:[60, 14], Operations: ['58-6=52', '66-52=14']
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[52, 6], Operations: ['58-6=52', '66-60=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,37 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
11,
99,
72
] | 73 | [
"87+11=98",
"99+72=171",
"171-98=73"
] | Current State: 73:[87, 11, 99, 72], Operations: []
Exploring Operation: 87+11=98, Resulting Numbers: [99, 72, 98]
Generated Node #2: [99, 72, 98] from Operation: 87+11=98
Current State: 73:[99, 72, 98], Operations: ['87+11=98']
Exploring Operation: 99+72=171, Resulting Numbers: [98, 171]
Generated Node #3: [98, 171] from Operation: 99+72=171
Current State: 73:[98, 171], Operations: ['87+11=98', '99+72=171']
Exploring Operation: 171-98=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[87, 11, 99, 72], Operations: []
Exploring Operation: 87-11=76, Resulting Numbers: [99, 72, 76]
Generated Node #0,0: 73:[99, 72, 76] Operation: 87-11=76
Moving to Node #0,0
Current State: 73:[99, 72, 76], Operations: ['87-11=76']
Exploring Operation: 99-72=27, Resulting Numbers: [76, 27]
Generated Node #0,0,0: 73:[76, 27] Operation: 99-72=27
Moving to Node #0,0,0
Current State: 73:[76, 27], Operations: ['87-11=76', '99-72=27']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,73 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
70,
55,
40,
60
] | 26 | [
"60-55=5",
"70/5=14",
"40-14=26"
] | Current State: 26:[70, 55, 40, 60], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [70, 40, 5]
Generated Node #2: [70, 40, 5] from Operation: 60-55=5
Current State: 26:[70, 40, 5], Operations: ['60-55=5']
Exploring Operation: 70/5=14, Resulting Numbers: [40, 14]
Generated Node #3: [40, 14] from Operation: 70/5=14
Current State: 26:[40, 14], Operations: ['60-55=5', '70/5=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[70, 55, 40, 60], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [40, 60, 15]
Generated Node #0,0: 26:[40, 60, 15] Operation: 70-55=15
Exploring Operation: 70-60=10, Resulting Numbers: [55, 40, 10]
Generated Node #0,1: 26:[55, 40, 10] Operation: 70-60=10
Moving to Node #0,1
Current State: 26:[55, 40, 10], Operations: ['70-60=10']
Exploring Operation: 40/10=4, Resulting Numbers: [55, 4]
Generated Node #0,1,0: 26:[55, 4] Operation: 40/10=4
Exploring Operation: 55-40=15, Resulting Numbers: [10, 15]
Generated Node #0,1,1: 26:[10, 15] Operation: 55-40=15
Moving to Node #0,0
Current State: 26:[40, 60, 15], Operations: ['70-55=15']
Exploring Operation: 60-40=20, Resulting Numbers: [15, 20]
Generated Node #0,0,0: 26:[15, 20] Operation: 60-40=20
Exploring Operation: 60/15=4, Resulting Numbers: [40, 4]
Generated Node #0,0,1: 26:[40, 4] Operation: 60/15=4
Moving to Node #0,1,1
Current State: 26:[10, 15], Operations: ['70-60=10', '55-40=15']
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[15, 20], Operations: ['70-55=15', '60-40=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[40, 4], Operations: ['70-55=15', '60/15=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[55, 4], Operations: ['70-60=10', '40/10=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,26 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,26 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
29,
69,
25,
92
] | 77 | [
"69-29=40",
"25+92=117",
"117-40=77"
] | Current State: 77:[29, 69, 25, 92], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [25, 92, 40]
Generated Node #2: [25, 92, 40] from Operation: 69-29=40
Current State: 77:[25, 92, 40], Operations: ['69-29=40']
Exploring Operation: 25+92=117, Resulting Numbers: [40, 117]
Generated Node #3: [40, 117] from Operation: 25+92=117
Current State: 77:[40, 117], Operations: ['69-29=40', '25+92=117']
Exploring Operation: 117-40=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[29, 69, 25, 92], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [69, 25, 63]
Generated Node #0,0: 77:[69, 25, 63] Operation: 92-29=63
Exploring Operation: 29-25=4, Resulting Numbers: [69, 92, 4]
Generated Node #0,1: 77:[69, 92, 4] Operation: 29-25=4
Exploring Operation: 92-25=67, Resulting Numbers: [29, 69, 67]
Generated Node #0,2: 77:[29, 69, 67] Operation: 92-25=67
Moving to Node #0,1
Current State: 77:[69, 92, 4], Operations: ['29-25=4']
Exploring Operation: 69+4=73, Resulting Numbers: [92, 73]
Generated Node #0,1,0: 77:[92, 73] Operation: 69+4=73
Exploring Operation: 92-4=88, Resulting Numbers: [69, 88]
Generated Node #0,1,1: 77:[69, 88] Operation: 92-4=88
Exploring Operation: 92-69=23, Resulting Numbers: [4, 23]
Generated Node #0,1,2: 77:[4, 23] Operation: 92-69=23
Moving to Node #0,0
Current State: 77:[69, 25, 63], Operations: ['92-29=63']
Exploring Operation: 25+63=88, Resulting Numbers: [69, 88]
Generated Node #0,0,0: 77:[69, 88] Operation: 25+63=88
Exploring Operation: 69-63=6, Resulting Numbers: [25, 6]
Generated Node #0,0,1: 77:[25, 6] Operation: 69-63=6
Exploring Operation: 69+25=94, Resulting Numbers: [63, 94]
Generated Node #0,0,2: 77:[63, 94] Operation: 69+25=94
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[25, 6], Operations: ['92-29=63', '69-63=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,77 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,77 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: 77:[69, 88], Operations: ['92-29=63', '25+63=88']
Exploring Operation: 69+88=157, Resulting Numbers: [157]
157,77 unequal: No Solution
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 69*88=6072, Resulting Numbers: [6072]
6072,77 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: 77:[63, 94], Operations: ['92-29=63', '69+25=94']
Exploring Operation: 63*94=5922, Resulting Numbers: [5922]
5922,77 unequal: No Solution
Exploring Operation: 63+94=157, Resulting Numbers: [157]
157,77 unequal: No Solution
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,77 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: 77:[29, 69, 67], Operations: ['92-25=67']
Exploring Operation: 29+69=98, Resulting Numbers: [67, 98]
Generated Node #0,2,0: 77:[67, 98] Operation: 29+69=98
Exploring Operation: 69-67=2, Resulting Numbers: [29, 2]
Generated Node #0,2,1: 77:[29, 2] Operation: 69-67=2
Exploring Operation: 29+67=96, Resulting Numbers: [69, 96]
Generated Node #0,2,2: 77:[69, 96] Operation: 29+67=96
Moving to Node #0,1,2
Current State: 77:[4, 23], Operations: ['29-25=4', '92-69=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,77 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[69, 88], Operations: ['29-25=4', '92-4=88']
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Exploring Operation: 69+88=157, Resulting Numbers: [157]
157,77 unequal: No Solution
Exploring Operation: 69*88=6072, Resulting Numbers: [6072]
6072,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[92, 73], Operations: ['29-25=4', '69+4=73']
Exploring Operation: 92*73=6716, Resulting Numbers: [6716]
6716,77 unequal: No Solution
Exploring Operation: 92+73=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[29, 2], Operations: ['92-25=67', '69-67=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,77 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[69, 96], Operations: ['92-25=67', '29+67=96']
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,77 unequal: No Solution
Exploring Operation: 69*96=6624, Resulting Numbers: [6624]
6624,77 unequal: No Solution
Exploring Operation: 69+96=165, Resulting Numbers: [165]
165,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[67, 98], Operations: ['92-25=67', '29+69=98']
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,77 unequal: No Solution
Exploring Operation: 67*98=6566, Resulting Numbers: [6566]
6566,77 unequal: No Solution
Exploring Operation: 67+98=165, Resulting Numbers: [165]
165,77 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
38,
72,
24,
52
] | 36 | [
"38*72=2736",
"24+52=76",
"2736/76=36"
] | Current State: 36:[38, 72, 24, 52], Operations: []
Exploring Operation: 38*72=2736, Resulting Numbers: [24, 52, 2736]
Generated Node #2: [24, 52, 2736] from Operation: 38*72=2736
Current State: 36:[24, 52, 2736], Operations: ['38*72=2736']
Exploring Operation: 24+52=76, Resulting Numbers: [2736, 76]
Generated Node #3: [2736, 76] from Operation: 24+52=76
Current State: 36:[2736, 76], Operations: ['38*72=2736', '24+52=76']
Exploring Operation: 2736/76=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[38, 72, 24, 52], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [38, 24, 20]
Generated Node #0,0: 36:[38, 24, 20] Operation: 72-52=20
Moving to Node #0,0
Current State: 36:[38, 24, 20], Operations: ['72-52=20']
Exploring Operation: 24-20=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 36:[38, 4] Operation: 24-20=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[38, 4], Operations: ['72-52=20', '24-20=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,36 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 |
[
59,
15,
82,
22
] | 92 | [
"59*22=1298",
"82+1298=1380",
"1380/15=92"
] | Current State: 92:[59, 15, 82, 22], Operations: []
Exploring Operation: 59*22=1298, Resulting Numbers: [15, 82, 1298]
Generated Node #2: [15, 82, 1298] from Operation: 59*22=1298
Current State: 92:[15, 82, 1298], Operations: ['59*22=1298']
Exploring Operation: 82+1298=1380, Resulting Numbers: [15, 1380]
Generated Node #3: [15, 1380] from Operation: 82+1298=1380
Current State: 92:[15, 1380], Operations: ['59*22=1298', '82+1298=1380']
Exploring Operation: 1380/15=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[59, 15, 82, 22], Operations: []
Exploring Operation: 59-15=44, Resulting Numbers: [82, 22, 44]
Generated Node #0,0: 92:[82, 22, 44] Operation: 59-15=44
Exploring Operation: 82-59=23, Resulting Numbers: [15, 22, 23]
Generated Node #0,1: 92:[15, 22, 23] Operation: 82-59=23
Exploring Operation: 15+82=97, Resulting Numbers: [59, 22, 97]
Generated Node #0,2: 92:[59, 22, 97] Operation: 15+82=97
Moving to Node #0,1
Current State: 92:[15, 22, 23], Operations: ['82-59=23']
Exploring Operation: 15+22=37, Resulting Numbers: [23, 37]
Generated Node #0,1,0: 92:[23, 37] Operation: 15+22=37
Exploring Operation: 22-15=7, Resulting Numbers: [23, 7]
Generated Node #0,1,1: 92:[23, 7] Operation: 22-15=7
Exploring Operation: 23-15=8, Resulting Numbers: [22, 8]
Generated Node #0,1,2: 92:[22, 8] Operation: 23-15=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[23, 7], Operations: ['82-59=23', '22-15=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,92 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,92 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: 92:[22, 8], Operations: ['82-59=23', '23-15=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,92 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,92 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: 92:[23, 37], Operations: ['82-59=23', '15+22=37']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 23+37=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 23*37=851, Resulting Numbers: [851]
851,92 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: 92:[82, 22, 44], Operations: ['59-15=44']
Exploring Operation: 44/22=2, Resulting Numbers: [82, 2]
Generated Node #0,0,0: 92:[82, 2] Operation: 44/22=2
Exploring Operation: 44-22=22, Resulting Numbers: [82, 22]
Generated Node #0,0,1: 92:[82, 22] Operation: 44-22=22
Exploring Operation: 82-44=38, Resulting Numbers: [22, 38]
Generated Node #0,0,2: 92:[22, 38] Operation: 82-44=38
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 92:[22, 38], Operations: ['59-15=44', '82-44=38']
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,92 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,92 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: 92:[82, 2], Operations: ['59-15=44', '44/22=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,92 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: 92:[82, 22], Operations: ['59-15=44', '44-22=22']
Exploring Operation: 82*22=1804, Resulting Numbers: [1804]
1804,92 unequal: No Solution
Exploring Operation: 82+22=104, Resulting Numbers: [104]
104,92 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,92 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: 92:[59, 22, 97], Operations: ['15+82=97']
Exploring Operation: 59+22=81, Resulting Numbers: [97, 81]
Generated Node #0,2,0: 92:[97, 81] Operation: 59+22=81
Exploring Operation: 59-22=37, Resulting Numbers: [97, 37]
Generated Node #0,2,1: 92:[97, 37] Operation: 59-22=37
Exploring Operation: 97-59=38, Resulting Numbers: [22, 38]
Generated Node #0,2,2: 92:[22, 38] Operation: 97-59=38
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[22, 38], Operations: ['15+82=97', '97-59=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,92 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,92 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: 92:[97, 37], Operations: ['15+82=97', '59-22=37']
Exploring Operation: 97*37=3589, Resulting Numbers: [3589]
3589,92 unequal: No Solution
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,92 unequal: No Solution
Exploring Operation: 97+37=134, Resulting Numbers: [134]
134,92 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: 92:[97, 81], Operations: ['15+82=97', '59+22=81']
Exploring Operation: 97+81=178, Resulting Numbers: [178]
178,92 unequal: No Solution
Exploring Operation: 97*81=7857, Resulting Numbers: [7857]
7857,92 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,92 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 |
[
40,
45,
17,
58
] | 44 | [
"40+45=85",
"58-17=41",
"85-41=44"
] | Current State: 44:[40, 45, 17, 58], Operations: []
Exploring Operation: 40+45=85, Resulting Numbers: [17, 58, 85]
Generated Node #2: [17, 58, 85] from Operation: 40+45=85
Current State: 44:[17, 58, 85], Operations: ['40+45=85']
Exploring Operation: 58-17=41, Resulting Numbers: [85, 41]
Generated Node #3: [85, 41] from Operation: 58-17=41
Current State: 44:[85, 41], Operations: ['40+45=85', '58-17=41']
Exploring Operation: 85-41=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[40, 45, 17, 58], Operations: []
Exploring Operation: 58-17=41, Resulting Numbers: [40, 45, 41]
Generated Node #0,0: 44:[40, 45, 41] Operation: 58-17=41
Exploring Operation: 58-40=18, Resulting Numbers: [45, 17, 18]
Generated Node #0,1: 44:[45, 17, 18] Operation: 58-40=18
Moving to Node #0,0
Current State: 44:[40, 45, 41], Operations: ['58-17=41']
Exploring Operation: 41-40=1, Resulting Numbers: [45, 1]
Generated Node #0,0,0: 44:[45, 1] Operation: 41-40=1
Exploring Operation: 45-40=5, Resulting Numbers: [41, 5]
Generated Node #0,0,1: 44:[41, 5] Operation: 45-40=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[45, 1], Operations: ['58-17=41', '41-40=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[40, 45, 17, 58], Operations: []
Exploring Operation: 58-17=41, Resulting Numbers: [40, 45, 41]
Generated Node #0,0: 44:[40, 45, 41] Operation: 58-17=41
Moving to Node #0,0
Current State: 44:[40, 45, 41], Operations: ['58-17=41']
Exploring Operation: 41-40=1, Resulting Numbers: [45, 1]
Generated Node #0,0,0: 44:[45, 1] Operation: 41-40=1
Moving to Node #0,0,0
Current State: 44:[45, 1], Operations: ['58-17=41', '41-40=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
74,
89,
5,
57
] | 54 | [
"89-74=15",
"15/5=3",
"57-3=54"
] | Current State: 54:[74, 89, 5, 57], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [5, 57, 15]
Generated Node #2: [5, 57, 15] from Operation: 89-74=15
Current State: 54:[5, 57, 15], Operations: ['89-74=15']
Exploring Operation: 15/5=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 15/5=3
Current State: 54:[57, 3], Operations: ['89-74=15', '15/5=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[74, 89, 5, 57], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [5, 57, 15]
Generated Node #0,0: 54:[5, 57, 15] Operation: 89-74=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[5, 57, 15], Operations: ['89-74=15']
Exploring Operation: 15/5=3, Resulting Numbers: [57, 3]
Generated Node #0,0,0: 54:[57, 3] Operation: 15/5=3
Moving to Node #0,0,0
Current State: 54:[57, 3], Operations: ['89-74=15', '15/5=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[74, 89, 5, 57], Operations: []
Exploring Operation: 89-74=15, Resulting Numbers: [5, 57, 15]
Generated Node #0,0: 54:[5, 57, 15] Operation: 89-74=15
Moving to Node #0,0
Current State: 54:[5, 57, 15], Operations: ['89-74=15']
Exploring Operation: 15/5=3, Resulting Numbers: [57, 3]
Generated Node #0,0,0: 54:[57, 3] Operation: 15/5=3
Moving to Node #0,0,0
Current State: 54:[57, 3], Operations: ['89-74=15', '15/5=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
56,
21,
3,
7
] | 98 | [
"56+21=77",
"3*7=21",
"77+21=98"
] | Current State: 98:[56, 21, 3, 7], Operations: []
Exploring Operation: 56+21=77, Resulting Numbers: [3, 7, 77]
Generated Node #2: [3, 7, 77] from Operation: 56+21=77
Current State: 98:[3, 7, 77], Operations: ['56+21=77']
Exploring Operation: 3*7=21, Resulting Numbers: [77, 21]
Generated Node #3: [77, 21] from Operation: 3*7=21
Current State: 98:[77, 21], Operations: ['56+21=77', '3*7=21']
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[56, 21, 3, 7], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [21, 3, 49]
Generated Node #0,0: 98:[21, 3, 49] Operation: 56-7=49
Exploring Operation: 21-7=14, Resulting Numbers: [56, 3, 14]
Generated Node #0,1: 98:[56, 3, 14] Operation: 21-7=14
Exploring Operation: 21/3=7, Resulting Numbers: [56, 7, 7]
Generated Node #0,2: 98:[56, 7, 7] Operation: 21/3=7
Moving to Node #0,2
Current State: 98:[56, 7, 7], Operations: ['21/3=7']
Exploring Operation: 56-7=49, Resulting Numbers: [7, 49]
Generated Node #0,2,0: 98:[7, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [7, 8]
Generated Node #0,2,1: 98:[7, 8] Operation: 56/7=8
Exploring Operation: 56-7=49, Resulting Numbers: [7, 49]
Generated Node #0,2,2: 98:[7, 49] Operation: 56-7=49
Moving to Node #0,0
Current State: 98:[21, 3, 49], Operations: ['56-7=49']
Exploring Operation: 21+3=24, Resulting Numbers: [49, 24]
Generated Node #0,0,0: 98:[49, 24] Operation: 21+3=24
Exploring Operation: 21-3=18, Resulting Numbers: [49, 18]
Generated Node #0,0,1: 98:[49, 18] Operation: 21-3=18
Exploring Operation: 21/3=7, Resulting Numbers: [49, 7]
Generated Node #0,0,2: 98:[49, 7] Operation: 21/3=7
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 98:[49, 7], Operations: ['56-7=49', '21/3=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,98 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: 98:[49, 18], Operations: ['56-7=49', '21-3=18']
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,98 unequal: No Solution
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,98 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,98 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: 98:[49, 24], Operations: ['56-7=49', '21+3=24']
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,98 unequal: No Solution
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,98 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: 98:[56, 3, 14], Operations: ['21-7=14']
Exploring Operation: 56/14=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 98:[3, 4] Operation: 56/14=4
Exploring Operation: 56-3=53, Resulting Numbers: [14, 53]
Generated Node #0,1,1: 98:[14, 53] Operation: 56-3=53
Exploring Operation: 56-14=42, Resulting Numbers: [3, 42]
Generated Node #0,1,2: 98:[3, 42] Operation: 56-14=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[3, 4], Operations: ['21-7=14', '56/14=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,98 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: 98:[14, 53], Operations: ['21-7=14', '56-3=53']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,98 unequal: No Solution
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,98 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: 98:[3, 42], Operations: ['21-7=14', '56-14=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,98 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: 98:[7, 49], Operations: ['21/3=7', '56-7=49']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[7, 49], Operations: ['21/3=7', '56-7=49']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[7, 8], Operations: ['21/3=7', '56/7=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,98 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
16,
45,
96,
3
] | 64 | [
"45-16=29",
"96-3=93",
"93-29=64"
] | Current State: 64:[16, 45, 96, 3], Operations: []
Exploring Operation: 45-16=29, Resulting Numbers: [96, 3, 29]
Generated Node #2: [96, 3, 29] from Operation: 45-16=29
Current State: 64:[96, 3, 29], Operations: ['45-16=29']
Exploring Operation: 96-3=93, Resulting Numbers: [29, 93]
Generated Node #3: [29, 93] from Operation: 96-3=93
Current State: 64:[29, 93], Operations: ['45-16=29', '96-3=93']
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[16, 45, 96, 3], Operations: []
Exploring Operation: 96/3=32, Resulting Numbers: [16, 45, 32]
Generated Node #0,0: 64:[16, 45, 32] Operation: 96/3=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[16, 45, 32], Operations: ['96/3=32']
Exploring Operation: 16+45=61, Resulting Numbers: [32, 61]
Generated Node #0,0,0: 64:[32, 61] Operation: 16+45=61
Moving to Node #0,0,0
Current State: 64:[32, 61], Operations: ['96/3=32', '16+45=61']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,64 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 |
[
41,
39,
30,
95
] | 35 | [
"41-39=2",
"30*2=60",
"95-60=35"
] | Current State: 35:[41, 39, 30, 95], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [30, 95, 2]
Generated Node #2: [30, 95, 2] from Operation: 41-39=2
Current State: 35:[30, 95, 2], Operations: ['41-39=2']
Exploring Operation: 30*2=60, Resulting Numbers: [95, 60]
Generated Node #3: [95, 60] from Operation: 30*2=60
Current State: 35:[95, 60], Operations: ['41-39=2', '30*2=60']
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[41, 39, 30, 95], Operations: []
Exploring Operation: 95-41=54, Resulting Numbers: [39, 30, 54]
Generated Node #0,0: 35:[39, 30, 54] Operation: 95-41=54
Exploring Operation: 95-39=56, Resulting Numbers: [41, 30, 56]
Generated Node #0,1: 35:[41, 30, 56] Operation: 95-39=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[39, 30, 54], Operations: ['95-41=54']
Exploring Operation: 54-30=24, Resulting Numbers: [39, 24]
Generated Node #0,0,0: 35:[39, 24] Operation: 54-30=24
Exploring Operation: 54-39=15, Resulting Numbers: [30, 15]
Generated Node #0,0,1: 35:[30, 15] Operation: 54-39=15
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[30, 15], Operations: ['95-41=54', '54-39=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,35 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: 35:[39, 24], Operations: ['95-41=54', '54-30=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,35 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: 35:[41, 30, 56], Operations: ['95-39=56']
Exploring Operation: 56-30=26, Resulting Numbers: [41, 26]
Generated Node #0,1,0: 35:[41, 26] Operation: 56-30=26
Exploring Operation: 56-41=15, Resulting Numbers: [30, 15]
Generated Node #0,1,1: 35:[30, 15] Operation: 56-41=15
Moving to Node #0,1,1
Current State: 35:[30, 15], Operations: ['95-39=56', '56-41=15']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,35 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[41, 26], Operations: ['95-39=56', '56-30=26']
Exploring Operation: 41+26=67, Resulting Numbers: [67]
67,35 unequal: No Solution
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,35 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 |
[
56,
51,
62,
74
] | 95 | [
"56+51=107",
"74-62=12",
"107-12=95"
] | Current State: 95:[56, 51, 62, 74], Operations: []
Exploring Operation: 56+51=107, Resulting Numbers: [62, 74, 107]
Generated Node #2: [62, 74, 107] from Operation: 56+51=107
Current State: 95:[62, 74, 107], Operations: ['56+51=107']
Exploring Operation: 74-62=12, Resulting Numbers: [107, 12]
Generated Node #3: [107, 12] from Operation: 74-62=12
Current State: 95:[107, 12], Operations: ['56+51=107', '74-62=12']
Exploring Operation: 107-12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[56, 51, 62, 74], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [62, 74, 5]
Generated Node #0,0: 95:[62, 74, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 95:[62, 74, 5], Operations: ['56-51=5']
Exploring Operation: 74-62=12, Resulting Numbers: [5, 12]
Generated Node #0,0,0: 95:[5, 12] Operation: 74-62=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[5, 12], Operations: ['56-51=5', '74-62=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,95 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 |
[
38,
17,
40,
54
] | 91 | [
"40-38=2",
"54*2=108",
"108-17=91"
] | Current State: 91:[38, 17, 40, 54], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [17, 54, 2]
Generated Node #2: [17, 54, 2] from Operation: 40-38=2
Current State: 91:[17, 54, 2], Operations: ['40-38=2']
Exploring Operation: 54*2=108, Resulting Numbers: [17, 108]
Generated Node #3: [17, 108] from Operation: 54*2=108
Current State: 91:[17, 108], Operations: ['40-38=2', '54*2=108']
Exploring Operation: 108-17=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[38, 17, 40, 54], Operations: []
Exploring Operation: 54-38=16, Resulting Numbers: [17, 40, 16]
Generated Node #0,0: 91:[17, 40, 16] Operation: 54-38=16
Exploring Operation: 40+54=94, Resulting Numbers: [38, 17, 94]
Generated Node #0,1: 91:[38, 17, 94] Operation: 40+54=94
Exploring Operation: 40-38=2, Resulting Numbers: [17, 54, 2]
Generated Node #0,2: 91:[17, 54, 2] Operation: 40-38=2
Exploring Operation: 38+54=92, Resulting Numbers: [17, 40, 92]
Generated Node #0,3: 91:[17, 40, 92] Operation: 38+54=92
Exploring Operation: 54-40=14, Resulting Numbers: [38, 17, 14]
Generated Node #0,4: 91:[38, 17, 14] Operation: 54-40=14
Moving to Node #0,4
Current State: 91:[38, 17, 14], Operations: ['54-40=14']
Exploring Operation: 38+17=55, Resulting Numbers: [14, 55]
Generated Node #0,4,0: 91:[14, 55] Operation: 38+17=55
Exploring Operation: 38-14=24, Resulting Numbers: [17, 24]
Generated Node #0,4,1: 91:[17, 24] Operation: 38-14=24
Exploring Operation: 17-14=3, Resulting Numbers: [38, 3]
Generated Node #0,4,2: 91:[38, 3] Operation: 17-14=3
Exploring Operation: 38+14=52, Resulting Numbers: [17, 52]
Generated Node #0,4,3: 91:[17, 52] Operation: 38+14=52
Exploring Operation: 38-17=21, Resulting Numbers: [14, 21]
Generated Node #0,4,4: 91:[14, 21] Operation: 38-17=21
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 91:[14, 21], Operations: ['54-40=14', '38-17=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,91 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,91 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: 91:[17, 24], Operations: ['54-40=14', '38-14=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,91 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,91 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 #0,4,2
Current State: 91:[38, 3], Operations: ['54-40=14', '17-14=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,91 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: 91:[14, 55], Operations: ['54-40=14', '38+17=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,91 unequal: No Solution
Exploring Operation: 14*55=770, Resulting Numbers: [770]
770,91 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: 91:[17, 52], Operations: ['54-40=14', '38+14=52']
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 17*52=884, Resulting Numbers: [884]
884,91 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,91 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: 91:[17, 40, 92], Operations: ['38+54=92']
Exploring Operation: 40-17=23, Resulting Numbers: [92, 23]
Generated Node #0,3,0: 91:[92, 23] Operation: 40-17=23
Exploring Operation: 92-40=52, Resulting Numbers: [17, 52]
Generated Node #0,3,1: 91:[17, 52] Operation: 92-40=52
Exploring Operation: 17+40=57, Resulting Numbers: [92, 57]
Generated Node #0,3,2: 91:[92, 57] Operation: 17+40=57
Exploring Operation: 92-17=75, Resulting Numbers: [40, 75]
Generated Node #0,3,3: 91:[40, 75] Operation: 92-17=75
Exploring Operation: 17+92=109, Resulting Numbers: [40, 109]
Generated Node #0,3,4: 91:[40, 109] Operation: 17+92=109
Moving to Node #0,1
Current State: 91:[38, 17, 94], Operations: ['40+54=94']
Exploring Operation: 94-38=56, Resulting Numbers: [17, 56]
Generated Node #0,1,0: 91:[17, 56] Operation: 94-38=56
Exploring Operation: 38-17=21, Resulting Numbers: [94, 21]
Generated Node #0,1,1: 91:[94, 21] Operation: 38-17=21
Exploring Operation: 94-17=77, Resulting Numbers: [38, 77]
Generated Node #0,1,2: 91:[38, 77] Operation: 94-17=77
Exploring Operation: 38+94=132, Resulting Numbers: [17, 132]
Generated Node #0,1,3: 91:[17, 132] Operation: 38+94=132
Exploring Operation: 38+17=55, Resulting Numbers: [94, 55]
Generated Node #0,1,4: 91:[94, 55] Operation: 38+17=55
Moving to Node #0,0
Current State: 91:[17, 40, 16], Operations: ['54-38=16']
Exploring Operation: 17+40=57, Resulting Numbers: [16, 57]
Generated Node #0,0,0: 91:[16, 57] Operation: 17+40=57
Exploring Operation: 17-16=1, Resulting Numbers: [40, 1]
Generated Node #0,0,1: 91:[40, 1] Operation: 17-16=1
Exploring Operation: 40-17=23, Resulting Numbers: [16, 23]
Generated Node #0,0,2: 91:[16, 23] Operation: 40-17=23
Exploring Operation: 40+16=56, Resulting Numbers: [17, 56]
Generated Node #0,0,3: 91:[17, 56] Operation: 40+16=56
Exploring Operation: 40-16=24, Resulting Numbers: [17, 24]
Generated Node #0,0,4: 91:[17, 24] Operation: 40-16=24
Moving to Node #0,2
Current State: 91:[17, 54, 2], Operations: ['40-38=2']
Exploring Operation: 17-2=15, Resulting Numbers: [54, 15]
Generated Node #0,2,0: 91:[54, 15] Operation: 17-2=15
Exploring Operation: 54*2=108, Resulting Numbers: [17, 108]
Generated Node #0,2,1: 91:[17, 108] Operation: 54*2=108
Exploring Operation: 54/2=27, Resulting Numbers: [17, 27]
Generated Node #0,2,2: 91:[17, 27] Operation: 54/2=27
Exploring Operation: 54-17=37, Resulting Numbers: [2, 37]
Generated Node #0,2,3: 91:[2, 37] Operation: 54-17=37
Exploring Operation: 17+54=71, Resulting Numbers: [2, 71]
Generated Node #0,2,4: 91:[2, 71] Operation: 17+54=71
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[17, 27], Operations: ['40-38=2', '54/2=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,91 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,91 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: 91:[17, 108], Operations: ['40-38=2', '54*2=108']
Exploring Operation: 17+108=125, Resulting Numbers: [125]
125,91 unequal: No Solution
Exploring Operation: 108-17=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[38, 17, 40, 54], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [17, 54, 2]
Generated Node #0,2: 91:[17, 54, 2] Operation: 40-38=2
Moving to Node #0,2
Current State: 91:[17, 54, 2], Operations: ['40-38=2']
Exploring Operation: 54*2=108, Resulting Numbers: [17, 108]
Generated Node #0,2,1: 91:[17, 108] Operation: 54*2=108
Moving to Node #0,2,1
Current State: 91:[17, 108], Operations: ['40-38=2', '54*2=108']
Exploring Operation: 108-17=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.953125 | hs_5 | mult_heuristic |
[
2,
2,
31,
9
] | 76 | [
"31-2=29",
"9+29=38",
"2*38=76"
] | Current State: 76:[2, 2, 31, 9], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [9, 29]
Generated Node #2: [9, 29] from Operation: 31-2=29
Current State: 76:[9, 29], Operations: ['31-2=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,76 equal: Goal Reached
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[2, 2, 31, 9], Operations: []
Exploring Operation: 2+31=33, Resulting Numbers: [2, 9, 33]
Generated Node #0,0: 76:[2, 9, 33] Operation: 2+31=33
Exploring Operation: 2*9=18, Resulting Numbers: [2, 31, 18]
Generated Node #0,1: 76:[2, 31, 18] Operation: 2*9=18
Exploring Operation: 31-9=22, Resulting Numbers: [2, 2, 22]
Generated Node #0,2: 76:[2, 2, 22] Operation: 31-9=22
Exploring Operation: 31+9=40, Resulting Numbers: [2, 2, 40]
Generated Node #0,3: 76:[2, 2, 40] Operation: 31+9=40
Exploring Operation: 2*9=18, Resulting Numbers: [2, 31, 18]
Generated Node #0,4: 76:[2, 31, 18] Operation: 2*9=18
Moving to Node #0,3
Current State: 76:[2, 2, 40], Operations: ['31+9=40']
Exploring Operation: 40/2=20, Resulting Numbers: [2, 20]
Generated Node #0,3,0: 76:[2, 20] Operation: 40/2=20
Exploring Operation: 40-2=38, Resulting Numbers: [2, 38]
Generated Node #0,3,1: 76:[2, 38] Operation: 40-2=38
Exploring Operation: 2+2=4, Resulting Numbers: [40, 4]
Generated Node #0,3,2: 76:[40, 4] Operation: 2+2=4
Exploring Operation: 40/2=20, Resulting Numbers: [2, 20]
Generated Node #0,3,3: 76:[2, 20] Operation: 40/2=20
Exploring Operation: 40-2=38, Resulting Numbers: [2, 38]
Generated Node #0,3,4: 76:[2, 38] Operation: 40-2=38
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[2, 38], Operations: ['31+9=40', '40-2=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[2, 2, 31, 9], Operations: []
Exploring Operation: 31+9=40, Resulting Numbers: [2, 2, 40]
Generated Node #0,3: 76:[2, 2, 40] Operation: 31+9=40
Moving to Node #0,3
Current State: 76:[2, 2, 40], Operations: ['31+9=40']
Exploring Operation: 40-2=38, Resulting Numbers: [2, 38]
Generated Node #0,3,1: 76:[2, 38] Operation: 40-2=38
Moving to Node #0,3,1
Current State: 76:[2, 38], Operations: ['31+9=40', '40-2=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
81,
9,
53,
36
] | 99 | [
"53-9=44",
"81*44=3564",
"3564/36=99"
] | Current State: 99:[81, 9, 53, 36], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [81, 36, 44]
Generated Node #2: [81, 36, 44] from Operation: 53-9=44
Current State: 99:[81, 36, 44], Operations: ['53-9=44']
Exploring Operation: 81*44=3564, Resulting Numbers: [36, 3564]
Generated Node #3: [36, 3564] from Operation: 81*44=3564
Current State: 99:[36, 3564], Operations: ['53-9=44', '81*44=3564']
Exploring Operation: 3564/36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[81, 9, 53, 36], Operations: []
Exploring Operation: 53-36=17, Resulting Numbers: [81, 9, 17]
Generated Node #0,0: 99:[81, 9, 17] Operation: 53-36=17
Exploring Operation: 53+36=89, Resulting Numbers: [81, 9, 89]
Generated Node #0,1: 99:[81, 9, 89] Operation: 53+36=89
Exploring Operation: 81-53=28, Resulting Numbers: [9, 36, 28]
Generated Node #0,2: 99:[9, 36, 28] Operation: 81-53=28
Exploring Operation: 81/9=9, Resulting Numbers: [53, 36, 9]
Generated Node #0,3: 99:[53, 36, 9] Operation: 81/9=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[9, 36, 28], Operations: ['81-53=28']
Exploring Operation: 36-28=8, Resulting Numbers: [9, 8]
Generated Node #0,2,0: 99:[9, 8] Operation: 36-28=8
Exploring Operation: 36/9=4, Resulting Numbers: [28, 4]
Generated Node #0,2,1: 99:[28, 4] Operation: 36/9=4
Exploring Operation: 9+28=37, Resulting Numbers: [36, 37]
Generated Node #0,2,2: 99:[36, 37] Operation: 9+28=37
Exploring Operation: 36-9=27, Resulting Numbers: [28, 27]
Generated Node #0,2,3: 99:[28, 27] Operation: 36-9=27
Moving to Node #0,2,0
Current State: 99:[9, 8], Operations: ['81-53=28', '36-28=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,99 unequal: No Solution
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
Moving to Node #0,2,1
Current State: 99:[28, 4], Operations: ['81-53=28', '36/9=4']
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,99 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,99 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[36, 37], Operations: ['81-53=28', '9+28=37']
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,99 unequal: No Solution
Moving to Node #0,2,3
Current State: 99:[28, 27], Operations: ['81-53=28', '36-9=27']
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,99 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,99 unequal: No Solution
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,99 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 #0,3
Current State: 99:[53, 36, 9], Operations: ['81/9=9']
Exploring Operation: 53-36=17, Resulting Numbers: [9, 17]
Generated Node #0,3,0: 99:[9, 17] Operation: 53-36=17
Exploring Operation: 53+36=89, Resulting Numbers: [9, 89]
Generated Node #0,3,1: 99:[9, 89] Operation: 53+36=89
Exploring Operation: 36/9=4, Resulting Numbers: [53, 4]
Generated Node #0,3,2: 99:[53, 4] Operation: 36/9=4
Exploring Operation: 53-9=44, Resulting Numbers: [36, 44]
Generated Node #0,3,3: 99:[36, 44] Operation: 53-9=44
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 99:[9, 17], Operations: ['81/9=9', '53-36=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 9*17=153, Resulting Numbers: [153]
153,99 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,99 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: 99:[9, 89], Operations: ['81/9=9', '53+36=89']
Exploring Operation: 9*89=801, Resulting Numbers: [801]
801,99 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,99 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: 99:[36, 44], Operations: ['81/9=9', '53-9=44']
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,99 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,99 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: 99:[53, 4], Operations: ['81/9=9', '36/9=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,99 unequal: No Solution
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,99 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: 99:[81, 9, 17], Operations: ['53-36=17']
Exploring Operation: 81+17=98, Resulting Numbers: [9, 98]
Generated Node #0,0,0: 99:[9, 98] Operation: 81+17=98
Exploring Operation: 17-9=8, Resulting Numbers: [81, 8]
Generated Node #0,0,1: 99:[81, 8] Operation: 17-9=8
Exploring Operation: 81/9=9, Resulting Numbers: [17, 9]
Generated Node #0,0,2: 99:[17, 9] Operation: 81/9=9
Exploring Operation: 81+9=90, Resulting Numbers: [17, 90]
Generated Node #0,0,3: 99:[17, 90] Operation: 81+9=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[9, 98], Operations: ['53-36=17', '81+17=98']
Exploring Operation: 9*98=882, Resulting Numbers: [882]
882,99 unequal: No Solution
Exploring Operation: 9+98=107, Resulting Numbers: [107]
107,99 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,99 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: 99:[17, 9], Operations: ['53-36=17', '81/9=9']
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,99 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,99 unequal: No Solution
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,99 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: 99:[17, 90], Operations: ['53-36=17', '81+9=90']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 17*90=1530, Resulting Numbers: [1530]
1530,99 unequal: No Solution
Exploring Operation: 17+90=107, Resulting Numbers: [107]
107,99 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: 99:[81, 8], Operations: ['53-36=17', '17-9=8']
Exploring Operation: 81+8=89, Resulting Numbers: [89]
89,99 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 81*8=648, Resulting Numbers: [648]
648,99 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: 99:[81, 9, 89], Operations: ['53+36=89']
Exploring Operation: 89-81=8, Resulting Numbers: [9, 8]
Generated Node #0,1,0: 99:[9, 8] Operation: 89-81=8
Exploring Operation: 81/9=9, Resulting Numbers: [89, 9]
Generated Node #0,1,1: 99:[89, 9] Operation: 81/9=9
Exploring Operation: 9+89=98, Resulting Numbers: [81, 98]
Generated Node #0,1,2: 99:[81, 98] Operation: 9+89=98
Exploring Operation: 81+9=90, Resulting Numbers: [89, 90]
Generated Node #0,1,3: 99:[89, 90] Operation: 81+9=90
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[9, 8], Operations: ['53+36=89', '89-81=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[89, 9], Operations: ['53+36=89', '81/9=9']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 89*9=801, Resulting Numbers: [801]
801,99 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,99 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: 99:[81, 98], Operations: ['53+36=89', '9+89=98']
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,99 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,99 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: 99:[89, 90], Operations: ['53+36=89', '81+9=90']
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,99 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,99 unequal: No Solution
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,99 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_4 | sum_heuristic |
[
7,
77,
39,
19
] | 50 | [
"77-7=70",
"39-19=20",
"70-20=50"
] | Current State: 50:[7, 77, 39, 19], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [39, 19, 70]
Generated Node #2: [39, 19, 70] from Operation: 77-7=70
Current State: 50:[39, 19, 70], Operations: ['77-7=70']
Exploring Operation: 39-19=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 39-19=20
Current State: 50:[70, 20], Operations: ['77-7=70', '39-19=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 77, 39, 19], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [7, 19, 38]
Generated Node #0,0: 50:[7, 19, 38] Operation: 77-39=38
Exploring Operation: 39-19=20, Resulting Numbers: [7, 77, 20]
Generated Node #0,1: 50:[7, 77, 20] Operation: 39-19=20
Exploring Operation: 77/7=11, Resulting Numbers: [39, 19, 11]
Generated Node #0,2: 50:[39, 19, 11] Operation: 77/7=11
Exploring Operation: 77-19=58, Resulting Numbers: [7, 39, 58]
Generated Node #0,3: 50:[7, 39, 58] Operation: 77-19=58
Moving to Node #0,2
Current State: 50:[39, 19, 11], Operations: ['77/7=11']
Exploring Operation: 39-19=20, Resulting Numbers: [11, 20]
Generated Node #0,2,0: 50:[11, 20] Operation: 39-19=20
Exploring Operation: 39+11=50, Resulting Numbers: [19, 50]
Generated Node #0,2,1: 50:[19, 50] Operation: 39+11=50
Exploring Operation: 39+19=58, Resulting Numbers: [11, 58]
Generated Node #0,2,2: 50:[11, 58] Operation: 39+19=58
Exploring Operation: 39-11=28, Resulting Numbers: [19, 28]
Generated Node #0,2,3: 50:[19, 28] Operation: 39-11=28
Moving to Node #0,0
Current State: 50:[7, 19, 38], Operations: ['77-39=38']
Exploring Operation: 38/19=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 50:[7, 2] Operation: 38/19=2
Exploring Operation: 19+38=57, Resulting Numbers: [7, 57]
Generated Node #0,0,1: 50:[7, 57] Operation: 19+38=57
Exploring Operation: 7+38=45, Resulting Numbers: [19, 45]
Generated Node #0,0,2: 50:[19, 45] Operation: 7+38=45
Exploring Operation: 38-19=19, Resulting Numbers: [7, 19]
Generated Node #0,0,3: 50:[7, 19] Operation: 38-19=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[7, 2], Operations: ['77-39=38', '38/19=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,50 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,50 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: 50:[7, 19], Operations: ['77-39=38', '38-19=19']
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,50 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,50 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: 50:[7, 57], Operations: ['77-39=38', '19+38=57']
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,50 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[7, 77, 39, 19], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [7, 19, 38]
Generated Node #0,0: 50:[7, 19, 38] Operation: 77-39=38
Moving to Node #0,0
Current State: 50:[7, 19, 38], Operations: ['77-39=38']
Exploring Operation: 19+38=57, Resulting Numbers: [7, 57]
Generated Node #0,0,1: 50:[7, 57] Operation: 19+38=57
Moving to Node #0,0,1
Current State: 50:[7, 57], Operations: ['77-39=38', '19+38=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
88,
58,
8,
42
] | 89 | [
"88/8=11",
"58+42=100",
"100-11=89"
] | Current State: 89:[88, 58, 8, 42], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [58, 42, 11]
Generated Node #2: [58, 42, 11] from Operation: 88/8=11
Current State: 89:[58, 42, 11], Operations: ['88/8=11']
Exploring Operation: 58+42=100, Resulting Numbers: [11, 100]
Generated Node #3: [11, 100] from Operation: 58+42=100
Current State: 89:[11, 100], Operations: ['88/8=11', '58+42=100']
Exploring Operation: 100-11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[88, 58, 8, 42], Operations: []
Exploring Operation: 58+8=66, Resulting Numbers: [88, 42, 66]
Generated Node #0,0: 89:[88, 42, 66] Operation: 58+8=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[88, 42, 66], Operations: ['58+8=66']
Exploring Operation: 42+66=108, Resulting Numbers: [88, 108]
Generated Node #0,0,0: 89:[88, 108] Operation: 42+66=108
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[88, 108], Operations: ['58+8=66', '42+66=108']
Exploring Operation: 108-88=20, Resulting Numbers: [20]
20,89 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 | mult_heuristic |
[
76,
48,
11,
64
] | 15 | [
"76-64=12",
"48/12=4",
"11+4=15"
] | Current State: 15:[76, 48, 11, 64], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [48, 11, 12]
Generated Node #2: [48, 11, 12] from Operation: 76-64=12
Current State: 15:[48, 11, 12], Operations: ['76-64=12']
Exploring Operation: 48/12=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 48/12=4
Current State: 15:[11, 4], Operations: ['76-64=12', '48/12=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[76, 48, 11, 64], Operations: []
Exploring Operation: 76-48=28, Resulting Numbers: [11, 64, 28]
Generated Node #0,0: 15:[11, 64, 28] Operation: 76-48=28
Exploring Operation: 64-48=16, Resulting Numbers: [76, 11, 16]
Generated Node #0,1: 15:[76, 11, 16] Operation: 64-48=16
Exploring Operation: 76-64=12, Resulting Numbers: [48, 11, 12]
Generated Node #0,2: 15:[48, 11, 12] Operation: 76-64=12
Exploring Operation: 76-11=65, Resulting Numbers: [48, 64, 65]
Generated Node #0,3: 15:[48, 64, 65] Operation: 76-11=65
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[48, 11, 12], Operations: ['76-64=12']
Exploring Operation: 48-11=37, Resulting Numbers: [12, 37]
Generated Node #0,2,0: 15:[12, 37] Operation: 48-11=37
Exploring Operation: 48-12=36, Resulting Numbers: [11, 36]
Generated Node #0,2,1: 15:[11, 36] Operation: 48-12=36
Exploring Operation: 48/12=4, Resulting Numbers: [11, 4]
Generated Node #0,2,2: 15:[11, 4] Operation: 48/12=4
Exploring Operation: 12-11=1, Resulting Numbers: [48, 1]
Generated Node #0,2,3: 15:[48, 1] Operation: 12-11=1
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[11, 4], Operations: ['76-64=12', '48/12=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[76, 48, 11, 64], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [48, 11, 12]
Generated Node #0,2: 15:[48, 11, 12] Operation: 76-64=12
Moving to Node #0,2
Current State: 15:[48, 11, 12], Operations: ['76-64=12']
Exploring Operation: 48/12=4, Resulting Numbers: [11, 4]
Generated Node #0,2,2: 15:[11, 4] Operation: 48/12=4
Moving to Node #0,2,2
Current State: 15:[11, 4], Operations: ['76-64=12', '48/12=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
14,
23,
86,
6
] | 68 | [
"14*23=322",
"86+322=408",
"408/6=68"
] | Current State: 68:[14, 23, 86, 6], Operations: []
Exploring Operation: 14*23=322, Resulting Numbers: [86, 6, 322]
Generated Node #2: [86, 6, 322] from Operation: 14*23=322
Current State: 68:[86, 6, 322], Operations: ['14*23=322']
Exploring Operation: 86+322=408, Resulting Numbers: [6, 408]
Generated Node #3: [6, 408] from Operation: 86+322=408
Current State: 68:[6, 408], Operations: ['14*23=322', '86+322=408']
Exploring Operation: 408/6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[14, 23, 86, 6], Operations: []
Exploring Operation: 86-23=63, Resulting Numbers: [14, 6, 63]
Generated Node #0,0: 68:[14, 6, 63] Operation: 86-23=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[14, 6, 63], Operations: ['86-23=63']
Exploring Operation: 6+63=69, Resulting Numbers: [14, 69]
Generated Node #0,0,0: 68:[14, 69] Operation: 6+63=69
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[14, 69], Operations: ['86-23=63', '6+63=69']
Exploring Operation: 69-14=55, Resulting Numbers: [55]
55,68 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 |
[
9,
57,
88,
65
] | 99 | [
"9*88=792",
"65-57=8",
"792/8=99"
] | Current State: 99:[9, 57, 88, 65], Operations: []
Exploring Operation: 9*88=792, Resulting Numbers: [57, 65, 792]
Generated Node #2: [57, 65, 792] from Operation: 9*88=792
Current State: 99:[57, 65, 792], Operations: ['9*88=792']
Exploring Operation: 65-57=8, Resulting Numbers: [792, 8]
Generated Node #3: [792, 8] from Operation: 65-57=8
Current State: 99:[792, 8], Operations: ['9*88=792', '65-57=8']
Exploring Operation: 792/8=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[9, 57, 88, 65], Operations: []
Exploring Operation: 88-57=31, Resulting Numbers: [9, 65, 31]
Generated Node #0,0: 99:[9, 65, 31] Operation: 88-57=31
Exploring Operation: 65-57=8, Resulting Numbers: [9, 88, 8]
Generated Node #0,1: 99:[9, 88, 8] Operation: 65-57=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[9, 88, 8], Operations: ['65-57=8']
Exploring Operation: 88/8=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 99:[9, 11] Operation: 88/8=11
Exploring Operation: 9+88=97, Resulting Numbers: [8, 97]
Generated Node #0,1,1: 99:[8, 97] Operation: 9+88=97
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[9, 11], Operations: ['65-57=8', '88/8=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[9, 57, 88, 65], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [9, 88, 8]
Generated Node #0,1: 99:[9, 88, 8] Operation: 65-57=8
Moving to Node #0,1
Current State: 99:[9, 88, 8], Operations: ['65-57=8']
Exploring Operation: 88/8=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 99:[9, 11] Operation: 88/8=11
Moving to Node #0,1,0
Current State: 99:[9, 11], Operations: ['65-57=8', '88/8=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
14,
36,
18,
27
] | 81 | [
"36+27=63",
"18*63=1134",
"1134/14=81"
] | Current State: 81:[14, 36, 18, 27], Operations: []
Exploring Operation: 36+27=63, Resulting Numbers: [14, 18, 63]
Generated Node #2: [14, 18, 63] from Operation: 36+27=63
Current State: 81:[14, 18, 63], Operations: ['36+27=63']
Exploring Operation: 18*63=1134, Resulting Numbers: [14, 1134]
Generated Node #3: [14, 1134] from Operation: 18*63=1134
Current State: 81:[14, 1134], Operations: ['36+27=63', '18*63=1134']
Exploring Operation: 1134/14=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[14, 36, 18, 27], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [14, 27, 2]
Generated Node #0,0: 81:[14, 27, 2] Operation: 36/18=2
Exploring Operation: 18-14=4, Resulting Numbers: [36, 27, 4]
Generated Node #0,1: 81:[36, 27, 4] Operation: 18-14=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[14, 27, 2], Operations: ['36/18=2']
Exploring Operation: 14/2=7, Resulting Numbers: [27, 7]
Generated Node #0,0,0: 81:[27, 7] Operation: 14/2=7
Exploring Operation: 14*2=28, Resulting Numbers: [27, 28]
Generated Node #0,0,1: 81:[27, 28] Operation: 14*2=28
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[27, 28], Operations: ['36/18=2', '14*2=28']
Exploring Operation: 27+28=55, Resulting Numbers: [55]
55,81 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,81 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: 81:[27, 7], Operations: ['36/18=2', '14/2=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,81 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: 81:[36, 27, 4], Operations: ['18-14=4']
Exploring Operation: 36/4=9, Resulting Numbers: [27, 9]
Generated Node #0,1,0: 81:[27, 9] Operation: 36/4=9
Exploring Operation: 36-27=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 81:[4, 9] Operation: 36-27=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[27, 9], Operations: ['18-14=4', '36/4=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,81 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: 81:[4, 9], Operations: ['18-14=4', '36-27=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,81 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 |
[
48,
89,
12,
95
] | 42 | [
"89-48=41",
"95-12=83",
"83-41=42"
] | Current State: 42:[48, 89, 12, 95], Operations: []
Exploring Operation: 89-48=41, Resulting Numbers: [12, 95, 41]
Generated Node #2: [12, 95, 41] from Operation: 89-48=41
Current State: 42:[12, 95, 41], Operations: ['89-48=41']
Exploring Operation: 95-12=83, Resulting Numbers: [41, 83]
Generated Node #3: [41, 83] from Operation: 95-12=83
Current State: 42:[41, 83], Operations: ['89-48=41', '95-12=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[48, 89, 12, 95], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [48, 12, 6]
Generated Node #0,0: 42:[48, 12, 6] Operation: 95-89=6
Exploring Operation: 89-48=41, Resulting Numbers: [12, 95, 41]
Generated Node #0,1: 42:[12, 95, 41] Operation: 89-48=41
Exploring Operation: 89-12=77, Resulting Numbers: [48, 95, 77]
Generated Node #0,2: 42:[48, 95, 77] Operation: 89-12=77
Exploring Operation: 95-48=47, Resulting Numbers: [89, 12, 47]
Generated Node #0,3: 42:[89, 12, 47] Operation: 95-48=47
Exploring Operation: 95-12=83, Resulting Numbers: [48, 89, 83]
Generated Node #0,4: 42:[48, 89, 83] Operation: 95-12=83
Moving to Node #0,0
Current State: 42:[48, 12, 6], Operations: ['95-89=6']
Exploring Operation: 12-6=6, Resulting Numbers: [48, 6]
Generated Node #0,0,0: 42:[48, 6] Operation: 12-6=6
Exploring Operation: 48/12=4, Resulting Numbers: [6, 4]
Generated Node #0,0,1: 42:[6, 4] Operation: 48/12=4
Exploring Operation: 48-12=36, Resulting Numbers: [6, 36]
Generated Node #0,0,2: 42:[6, 36] Operation: 48-12=36
Exploring Operation: 48-6=42, Resulting Numbers: [12, 42]
Generated Node #0,0,3: 42:[12, 42] Operation: 48-6=42
Exploring Operation: 48/6=8, Resulting Numbers: [12, 8]
Generated Node #0,0,4: 42:[12, 8] Operation: 48/6=8
Moving to Node #0,3
Current State: 42:[89, 12, 47], Operations: ['95-48=47']
Exploring Operation: 89-47=42, Resulting Numbers: [12, 42]
Generated Node #0,3,0: 42:[12, 42] Operation: 89-47=42
Exploring Operation: 47-12=35, Resulting Numbers: [89, 35]
Generated Node #0,3,1: 42:[89, 35] Operation: 47-12=35
Exploring Operation: 89-12=77, Resulting Numbers: [47, 77]
Generated Node #0,3,2: 42:[47, 77] Operation: 89-12=77
Exploring Operation: 12+47=59, Resulting Numbers: [89, 59]
Generated Node #0,3,3: 42:[89, 59] Operation: 12+47=59
Exploring Operation: 89+12=101, Resulting Numbers: [47, 101]
Generated Node #0,3,4: 42:[47, 101] Operation: 89+12=101
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 42:[12, 42], Operations: ['95-48=47', '89-47=42']
Exploring Operation: 12*42=504, Resulting Numbers: [504]
504,42 unequal: No Solution
Exploring Operation: 12+42=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,42 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 #0,3,2
Current State: 42:[47, 77], Operations: ['95-48=47', '89-12=77']
Exploring Operation: 47+77=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 47*77=3619, Resulting Numbers: [3619]
3619,42 unequal: No Solution
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,42 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 #0,3,1
Current State: 42:[89, 35], Operations: ['95-48=47', '47-12=35']
Exploring Operation: 89-35=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 89+35=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 89*35=3115, Resulting Numbers: [3115]
3115,42 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 #0,3,3
Current State: 42:[89, 59], Operations: ['95-48=47', '12+47=59']
Exploring Operation: 89-59=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 89+59=148, Resulting Numbers: [148]
148,42 unequal: No Solution
Exploring Operation: 89*59=5251, Resulting Numbers: [5251]
5251,42 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 #0,3,4
Current State: 42:[47, 101], Operations: ['95-48=47', '89+12=101']
Exploring Operation: 101-47=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 47*101=4747, Resulting Numbers: [4747]
4747,42 unequal: No Solution
Exploring Operation: 47+101=148, Resulting Numbers: [148]
148,42 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: 42:[12, 95, 41], Operations: ['89-48=41']
Exploring Operation: 12+41=53, Resulting Numbers: [95, 53]
Generated Node #0,1,0: 42:[95, 53] Operation: 12+41=53
Exploring Operation: 95-41=54, Resulting Numbers: [12, 54]
Generated Node #0,1,1: 42:[12, 54] Operation: 95-41=54
Exploring Operation: 41-12=29, Resulting Numbers: [95, 29]
Generated Node #0,1,2: 42:[95, 29] Operation: 41-12=29
Exploring Operation: 95-12=83, Resulting Numbers: [41, 83]
Generated Node #0,1,3: 42:[41, 83] Operation: 95-12=83
Exploring Operation: 12+95=107, Resulting Numbers: [41, 107]
Generated Node #0,1,4: 42:[41, 107] Operation: 12+95=107
Moving to Node #0,2
Current State: 42:[48, 95, 77], Operations: ['89-12=77']
Exploring Operation: 95-77=18, Resulting Numbers: [48, 18]
Generated Node #0,2,0: 42:[48, 18] Operation: 95-77=18
Exploring Operation: 95-48=47, Resulting Numbers: [77, 47]
Generated Node #0,2,1: 42:[77, 47] Operation: 95-48=47
Exploring Operation: 48+77=125, Resulting Numbers: [95, 125]
Generated Node #0,2,2: 42:[95, 125] Operation: 48+77=125
Exploring Operation: 77-48=29, Resulting Numbers: [95, 29]
Generated Node #0,2,3: 42:[95, 29] Operation: 77-48=29
Exploring Operation: 48+95=143, Resulting Numbers: [77, 143]
Generated Node #0,2,4: 42:[77, 143] Operation: 48+95=143
Moving to Node #0,4
Current State: 42:[48, 89, 83], Operations: ['95-12=83']
Exploring Operation: 89-48=41, Resulting Numbers: [83, 41]
Generated Node #0,4,0: 42:[83, 41] Operation: 89-48=41
Exploring Operation: 89-83=6, Resulting Numbers: [48, 6]
Generated Node #0,4,1: 42:[48, 6] Operation: 89-83=6
Exploring Operation: 48+83=131, Resulting Numbers: [89, 131]
Generated Node #0,4,2: 42:[89, 131] Operation: 48+83=131
Exploring Operation: 83-48=35, Resulting Numbers: [89, 35]
Generated Node #0,4,3: 42:[89, 35] Operation: 83-48=35
Exploring Operation: 48+89=137, Resulting Numbers: [83, 137]
Generated Node #0,4,4: 42:[83, 137] Operation: 48+89=137
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 42:[48, 6], Operations: ['95-12=83', '89-83=6']
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,42 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[48, 89, 12, 95], Operations: []
Exploring Operation: 95-12=83, Resulting Numbers: [48, 89, 83]
Generated Node #0,4: 42:[48, 89, 83] Operation: 95-12=83
Moving to Node #0,4
Current State: 42:[48, 89, 83], Operations: ['95-12=83']
Exploring Operation: 89-83=6, Resulting Numbers: [48, 6]
Generated Node #0,4,1: 42:[48, 6] Operation: 89-83=6
Moving to Node #0,4,1
Current State: 42:[48, 6], Operations: ['95-12=83', '89-83=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.953993 | hs_5 | sum_heuristic |
[
33,
79,
24,
5
] | 83 | [
"33+79=112",
"24+5=29",
"112-29=83"
] | Current State: 83:[33, 79, 24, 5], Operations: []
Exploring Operation: 33+79=112, Resulting Numbers: [24, 5, 112]
Generated Node #2: [24, 5, 112] from Operation: 33+79=112
Current State: 83:[24, 5, 112], Operations: ['33+79=112']
Exploring Operation: 24+5=29, Resulting Numbers: [112, 29]
Generated Node #3: [112, 29] from Operation: 24+5=29
Current State: 83:[112, 29], Operations: ['33+79=112', '24+5=29']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[33, 79, 24, 5], Operations: []
Exploring Operation: 33+24=57, Resulting Numbers: [79, 5, 57]
Generated Node #0,0: 83:[79, 5, 57] Operation: 33+24=57
Exploring Operation: 24*5=120, Resulting Numbers: [33, 79, 120]
Generated Node #0,1: 83:[33, 79, 120] Operation: 24*5=120
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[33, 79, 120], Operations: ['24*5=120']
Exploring Operation: 120-33=87, Resulting Numbers: [79, 87]
Generated Node #0,1,0: 83:[79, 87] Operation: 120-33=87
Exploring Operation: 33+79=112, Resulting Numbers: [120, 112]
Generated Node #0,1,1: 83:[120, 112] Operation: 33+79=112
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[79, 87], Operations: ['24*5=120', '120-33=87']
Exploring Operation: 79+87=166, Resulting Numbers: [166]
166,83 unequal: No Solution
Exploring Operation: 87-79=8, Resulting Numbers: [8]
8,83 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:[120, 112], Operations: ['24*5=120', '33+79=112']
Exploring Operation: 120-112=8, Resulting Numbers: [8]
8,83 unequal: No Solution
Exploring Operation: 120+112=232, Resulting Numbers: [232]
232,83 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 #0,0
Current State: 83:[79, 5, 57], Operations: ['33+24=57']
Exploring Operation: 5+57=62, Resulting Numbers: [79, 62]
Generated Node #0,0,0: 83:[79, 62] Operation: 5+57=62
Exploring Operation: 79+5=84, Resulting Numbers: [57, 84]
Generated Node #0,0,1: 83:[57, 84] Operation: 79+5=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[79, 62], Operations: ['33+24=57', '5+57=62']
Exploring Operation: 79+62=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 79-62=17, Resulting Numbers: [17]
17,83 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 #0,0,1
Current State: 83:[57, 84], Operations: ['33+24=57', '79+5=84']
Exploring Operation: 57+84=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,83 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_2 | mult_heuristic |
[
50,
80,
31,
45
] | 41 | [
"80*45=3600",
"3600/50=72",
"72-31=41"
] | Current State: 41:[50, 80, 31, 45], Operations: []
Exploring Operation: 80*45=3600, Resulting Numbers: [50, 31, 3600]
Generated Node #2: [50, 31, 3600] from Operation: 80*45=3600
Current State: 41:[50, 31, 3600], Operations: ['80*45=3600']
Exploring Operation: 3600/50=72, Resulting Numbers: [31, 72]
Generated Node #3: [31, 72] from Operation: 3600/50=72
Current State: 41:[31, 72], Operations: ['80*45=3600', '3600/50=72']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[50, 80, 31, 45], Operations: []
Exploring Operation: 80-31=49, Resulting Numbers: [50, 45, 49]
Generated Node #0,0: 41:[50, 45, 49] Operation: 80-31=49
Moving to Node #0,0
Current State: 41:[50, 45, 49], Operations: ['80-31=49']
Exploring Operation: 50-45=5, Resulting Numbers: [49, 5]
Generated Node #0,0,0: 41:[49, 5] Operation: 50-45=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[49, 5], Operations: ['80-31=49', '50-45=5']
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,41 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 |
[
50,
97,
47,
76
] | 76 | [
"97-50=47",
"47+76=123",
"123-47=76"
] | Current State: 76:[50, 97, 47, 76], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [47, 76, 47]
Generated Node #2: [47, 76, 47] from Operation: 97-50=47
Current State: 76:[47, 76, 47], Operations: ['97-50=47']
Exploring Operation: 47+76=123, Resulting Numbers: [123]
123,76 equal: Goal Reached
Exploring Operation: 123-47=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[50, 97, 47, 76], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [50, 47, 21]
Generated Node #0,0: 76:[50, 47, 21] Operation: 97-76=21
Exploring Operation: 97-50=47, Resulting Numbers: [47, 76, 47]
Generated Node #0,1: 76:[47, 76, 47] Operation: 97-50=47
Exploring Operation: 50-47=3, Resulting Numbers: [97, 76, 3]
Generated Node #0,2: 76:[97, 76, 3] Operation: 50-47=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[47, 76, 47], Operations: ['97-50=47']
Exploring Operation: 47-47=0, Resulting Numbers: [76, 0]
Generated Node #0,1,0: 76:[76, 0] Operation: 47-47=0
Exploring Operation: 47/47=1, Resulting Numbers: [76, 1]
Generated Node #0,1,1: 76:[76, 1] Operation: 47/47=1
Exploring Operation: 76-47=29, Resulting Numbers: [47, 29]
Generated Node #0,1,2: 76:[47, 29] Operation: 76-47=29
Moving to Node #0,1,1
Current State: 76:[76, 1], Operations: ['97-50=47', '47/47=1']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[50, 97, 47, 76], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [47, 76, 47]
Generated Node #0,1: 76:[47, 76, 47] Operation: 97-50=47
Moving to Node #0,1
Current State: 76:[47, 76, 47], Operations: ['97-50=47']
Exploring Operation: 47/47=1, Resulting Numbers: [76, 1]
Generated Node #0,1,1: 76:[76, 1] Operation: 47/47=1
Moving to Node #0,1,1
Current State: 76:[76, 1], Operations: ['97-50=47', '47/47=1']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
7,
19,
5,
11
] | 49 | [
"19-7=12",
"5*12=60",
"60-11=49"
] | Current State: 49:[7, 19, 5, 11], Operations: []
Exploring Operation: 19-7=12, Resulting Numbers: [5, 11, 12]
Generated Node #2: [5, 11, 12] from Operation: 19-7=12
Current State: 49:[5, 11, 12], Operations: ['19-7=12']
Exploring Operation: 5*12=60, Resulting Numbers: [11, 60]
Generated Node #3: [11, 60] from Operation: 5*12=60
Current State: 49:[11, 60], Operations: ['19-7=12', '5*12=60']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[7, 19, 5, 11], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [7, 19, 6]
Generated Node #0,0: 49:[7, 19, 6] Operation: 11-5=6
Exploring Operation: 19-7=12, Resulting Numbers: [5, 11, 12]
Generated Node #0,1: 49:[5, 11, 12] Operation: 19-7=12
Exploring Operation: 19-11=8, Resulting Numbers: [7, 5, 8]
Generated Node #0,2: 49:[7, 5, 8] Operation: 19-11=8
Exploring Operation: 19-5=14, Resulting Numbers: [7, 11, 14]
Generated Node #0,3: 49:[7, 11, 14] Operation: 19-5=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[7, 5, 8], Operations: ['19-11=8']
Exploring Operation: 7+5=12, Resulting Numbers: [8, 12]
Generated Node #0,2,0: 49:[8, 12] Operation: 7+5=12
Exploring Operation: 7-5=2, Resulting Numbers: [8, 2]
Generated Node #0,2,1: 49:[8, 2] Operation: 7-5=2
Exploring Operation: 5+8=13, Resulting Numbers: [7, 13]
Generated Node #0,2,2: 49:[7, 13] Operation: 5+8=13
Exploring Operation: 8-5=3, Resulting Numbers: [7, 3]
Generated Node #0,2,3: 49:[7, 3] Operation: 8-5=3
Moving to Node #0,2,3
Current State: 49:[7, 3], Operations: ['19-11=8', '8-5=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[8, 2], Operations: ['19-11=8', '7-5=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[8, 12], Operations: ['19-11=8', '7+5=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[7, 13], Operations: ['19-11=8', '5+8=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,49 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: 49:[5, 11, 12], Operations: ['19-7=12']
Exploring Operation: 12-11=1, Resulting Numbers: [5, 1]
Generated Node #0,1,0: 49:[5, 1] Operation: 12-11=1
Exploring Operation: 11-5=6, Resulting Numbers: [12, 6]
Generated Node #0,1,1: 49:[12, 6] Operation: 11-5=6
Exploring Operation: 5*11=55, Resulting Numbers: [12, 55]
Generated Node #0,1,2: 49:[12, 55] Operation: 5*11=55
Exploring Operation: 12-5=7, Resulting Numbers: [11, 7]
Generated Node #0,1,3: 49:[11, 7] Operation: 12-5=7
Moving to Node #0,1,3
Current State: 49:[11, 7], Operations: ['19-7=12', '12-5=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[12, 6], Operations: ['19-7=12', '11-5=6']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[5, 1], Operations: ['19-7=12', '12-11=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[12, 55], Operations: ['19-7=12', '5*11=55']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,49 unequal: No Solution
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,49 unequal: No Solution
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,49 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: 49:[7, 11, 14], Operations: ['19-5=14']
Exploring Operation: 14-7=7, Resulting Numbers: [11, 7]
Generated Node #0,3,0: 49:[11, 7] Operation: 14-7=7
Exploring Operation: 14-11=3, Resulting Numbers: [7, 3]
Generated Node #0,3,1: 49:[7, 3] Operation: 14-11=3
Exploring Operation: 11-7=4, Resulting Numbers: [14, 4]
Generated Node #0,3,2: 49:[14, 4] Operation: 11-7=4
Exploring Operation: 14/7=2, Resulting Numbers: [11, 2]
Generated Node #0,3,3: 49:[11, 2] Operation: 14/7=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 49:[11, 7], Operations: ['19-5=14', '14-7=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,49 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: 49:[7, 3], Operations: ['19-5=14', '14-11=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,49 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: 49:[11, 2], Operations: ['19-5=14', '14/7=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,49 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: 49:[14, 4], Operations: ['19-5=14', '11-7=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,49 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,49 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: 49:[7, 19, 6], Operations: ['11-5=6']
Exploring Operation: 7-6=1, Resulting Numbers: [19, 1]
Generated Node #0,0,0: 49:[19, 1] Operation: 7-6=1
Exploring Operation: 19-6=13, Resulting Numbers: [7, 13]
Generated Node #0,0,1: 49:[7, 13] Operation: 19-6=13
Exploring Operation: 19-7=12, Resulting Numbers: [6, 12]
Generated Node #0,0,2: 49:[6, 12] Operation: 19-7=12
Exploring Operation: 7+6=13, Resulting Numbers: [19, 13]
Generated Node #0,0,3: 49:[19, 13] Operation: 7+6=13
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[7, 13], Operations: ['11-5=6', '19-6=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,49 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,49 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: 49:[6, 12], Operations: ['11-5=6', '19-7=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,49 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: 49:[19, 1], Operations: ['11-5=6', '7-6=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,49 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: 49:[19, 13], Operations: ['11-5=6', '7+6=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,49 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,49 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_4 | mult_heuristic |
[
93,
75,
4,
15
] | 48 | [
"93+15=108",
"108/4=27",
"75-27=48"
] | Current State: 48:[93, 75, 4, 15], Operations: []
Exploring Operation: 93+15=108, Resulting Numbers: [75, 4, 108]
Generated Node #2: [75, 4, 108] from Operation: 93+15=108
Current State: 48:[75, 4, 108], Operations: ['93+15=108']
Exploring Operation: 108/4=27, Resulting Numbers: [75, 27]
Generated Node #3: [75, 27] from Operation: 108/4=27
Current State: 48:[75, 27], Operations: ['93+15=108', '108/4=27']
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[93, 75, 4, 15], Operations: []
Exploring Operation: 93-75=18, Resulting Numbers: [4, 15, 18]
Generated Node #0,0: 48:[4, 15, 18] Operation: 93-75=18
Exploring Operation: 93-15=78, Resulting Numbers: [75, 4, 78]
Generated Node #0,1: 48:[75, 4, 78] Operation: 93-15=78
Exploring Operation: 75/15=5, Resulting Numbers: [93, 4, 5]
Generated Node #0,2: 48:[93, 4, 5] Operation: 75/15=5
Moving to Node #0,0
Current State: 48:[4, 15, 18], Operations: ['93-75=18']
Exploring Operation: 15-4=11, Resulting Numbers: [18, 11]
Generated Node #0,0,0: 48:[18, 11] Operation: 15-4=11
Exploring Operation: 4+18=22, Resulting Numbers: [15, 22]
Generated Node #0,0,1: 48:[15, 22] Operation: 4+18=22
Exploring Operation: 18-15=3, Resulting Numbers: [4, 3]
Generated Node #0,0,2: 48:[4, 3] Operation: 18-15=3
Moving to Node #0,2
Current State: 48:[93, 4, 5], Operations: ['75/15=5']
Exploring Operation: 93-4=89, Resulting Numbers: [5, 89]
Generated Node #0,2,0: 48:[5, 89] Operation: 93-4=89
Exploring Operation: 93-5=88, Resulting Numbers: [4, 88]
Generated Node #0,2,1: 48:[4, 88] Operation: 93-5=88
Exploring Operation: 4+5=9, Resulting Numbers: [93, 9]
Generated Node #0,2,2: 48:[93, 9] Operation: 4+5=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[4, 88], Operations: ['75/15=5', '93-5=88']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,48 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: 48:[5, 89], Operations: ['75/15=5', '93-4=89']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Exploring Operation: 5+89=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 5*89=445, Resulting Numbers: [445]
445,48 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: 48:[93, 9], Operations: ['75/15=5', '4+5=9']
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,48 unequal: No Solution
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,48 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,48 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: 48:[75, 4, 78], Operations: ['93-15=78']
Exploring Operation: 78-75=3, Resulting Numbers: [4, 3]
Generated Node #0,1,0: 48:[4, 3] Operation: 78-75=3
Exploring Operation: 78-4=74, Resulting Numbers: [75, 74]
Generated Node #0,1,1: 48:[75, 74] Operation: 78-4=74
Exploring Operation: 75-4=71, Resulting Numbers: [78, 71]
Generated Node #0,1,2: 48:[78, 71] Operation: 75-4=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[4, 3], Operations: ['93-15=78', '78-75=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,48 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: 48:[75, 74], Operations: ['93-15=78', '78-4=74']
Exploring Operation: 75-74=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 75+74=149, Resulting Numbers: [149]
149,48 unequal: No Solution
Exploring Operation: 75*74=5550, Resulting Numbers: [5550]
5550,48 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: 48:[78, 71], Operations: ['93-15=78', '75-4=71']
Exploring Operation: 78*71=5538, Resulting Numbers: [5538]
5538,48 unequal: No Solution
Exploring Operation: 78+71=149, Resulting Numbers: [149]
149,48 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,48 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: 48:[4, 3], Operations: ['93-75=18', '18-15=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[18, 11], Operations: ['93-75=18', '15-4=11']
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,48 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[15, 22], Operations: ['93-75=18', '4+18=22']
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 15*22=330, Resulting Numbers: [330]
330,48 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
83,
88,
90,
21
] | 74 | [
"88-83=5",
"90-21=69",
"5+69=74"
] | Current State: 74:[83, 88, 90, 21], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [90, 21, 5]
Generated Node #2: [90, 21, 5] from Operation: 88-83=5
Current State: 74:[90, 21, 5], Operations: ['88-83=5']
Exploring Operation: 90-21=69, Resulting Numbers: [5, 69]
Generated Node #3: [5, 69] from Operation: 90-21=69
Current State: 74:[5, 69], Operations: ['88-83=5', '90-21=69']
Exploring Operation: 5+69=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[83, 88, 90, 21], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [83, 88, 69]
Generated Node #0,0: 74:[83, 88, 69] Operation: 90-21=69
Exploring Operation: 90-88=2, Resulting Numbers: [83, 21, 2]
Generated Node #0,1: 74:[83, 21, 2] Operation: 90-88=2
Exploring Operation: 88-21=67, Resulting Numbers: [83, 90, 67]
Generated Node #0,2: 74:[83, 90, 67] Operation: 88-21=67
Exploring Operation: 88-83=5, Resulting Numbers: [90, 21, 5]
Generated Node #0,3: 74:[90, 21, 5] Operation: 88-83=5
Exploring Operation: 90-83=7, Resulting Numbers: [88, 21, 7]
Generated Node #0,4: 74:[88, 21, 7] Operation: 90-83=7
Moving to Node #0,1
Current State: 74:[83, 21, 2], Operations: ['90-88=2']
Exploring Operation: 83-21=62, Resulting Numbers: [2, 62]
Generated Node #0,1,0: 74:[2, 62] Operation: 83-21=62
Exploring Operation: 21*2=42, Resulting Numbers: [83, 42]
Generated Node #0,1,1: 74:[83, 42] Operation: 21*2=42
Exploring Operation: 21+2=23, Resulting Numbers: [83, 23]
Generated Node #0,1,2: 74:[83, 23] Operation: 21+2=23
Exploring Operation: 21-2=19, Resulting Numbers: [83, 19]
Generated Node #0,1,3: 74:[83, 19] Operation: 21-2=19
Exploring Operation: 83-2=81, Resulting Numbers: [21, 81]
Generated Node #0,1,4: 74:[21, 81] Operation: 83-2=81
Moving to Node #0,0
Current State: 74:[83, 88, 69], Operations: ['90-21=69']
Exploring Operation: 88-83=5, Resulting Numbers: [69, 5]
Generated Node #0,0,0: 74:[69, 5] Operation: 88-83=5
Exploring Operation: 88-69=19, Resulting Numbers: [83, 19]
Generated Node #0,0,1: 74:[83, 19] Operation: 88-69=19
Exploring Operation: 88+69=157, Resulting Numbers: [83, 157]
Generated Node #0,0,2: 74:[83, 157] Operation: 88+69=157
Exploring Operation: 83-69=14, Resulting Numbers: [88, 14]
Generated Node #0,0,3: 74:[88, 14] Operation: 83-69=14
Exploring Operation: 83+69=152, Resulting Numbers: [88, 152]
Generated Node #0,0,4: 74:[88, 152] Operation: 83+69=152
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[69, 5], Operations: ['90-21=69', '88-83=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,74 unequal: No Solution
Exploring Operation: 69*5=345, Resulting Numbers: [345]
345,74 unequal: No Solution
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[83, 88, 90, 21], Operations: []
Exploring Operation: 90-21=69, Resulting Numbers: [83, 88, 69]
Generated Node #0,0: 74:[83, 88, 69] Operation: 90-21=69
Moving to Node #0,0
Current State: 74:[83, 88, 69], Operations: ['90-21=69']
Exploring Operation: 88-83=5, Resulting Numbers: [69, 5]
Generated Node #0,0,0: 74:[69, 5] Operation: 88-83=5
Moving to Node #0,0,0
Current State: 74:[69, 5], Operations: ['90-21=69', '88-83=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
10,
79,
4,
43
] | 30 | [
"79-10=69",
"43-4=39",
"69-39=30"
] | Current State: 30:[10, 79, 4, 43], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [4, 43, 69]
Generated Node #2: [4, 43, 69] from Operation: 79-10=69
Current State: 30:[4, 43, 69], Operations: ['79-10=69']
Exploring Operation: 43-4=39, Resulting Numbers: [69, 39]
Generated Node #3: [69, 39] from Operation: 43-4=39
Current State: 30:[69, 39], Operations: ['79-10=69', '43-4=39']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[10, 79, 4, 43], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [4, 43, 69]
Generated Node #0,0: 30:[4, 43, 69] Operation: 79-10=69
Exploring Operation: 79-43=36, Resulting Numbers: [10, 4, 36]
Generated Node #0,1: 30:[10, 4, 36] Operation: 79-43=36
Moving to Node #0,1
Current State: 30:[10, 4, 36], Operations: ['79-43=36']
Exploring Operation: 36/4=9, Resulting Numbers: [10, 9]
Generated Node #0,1,0: 30:[10, 9] Operation: 36/4=9
Exploring Operation: 36-4=32, Resulting Numbers: [10, 32]
Generated Node #0,1,1: 30:[10, 32] Operation: 36-4=32
Moving to Node #0,0
Current State: 30:[4, 43, 69], Operations: ['79-10=69']
Exploring Operation: 69-43=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 30:[4, 26] Operation: 69-43=26
Exploring Operation: 43-4=39, Resulting Numbers: [69, 39]
Generated Node #0,0,1: 30:[69, 39] Operation: 43-4=39
Moving to Node #0,1,0
Current State: 30:[10, 9], Operations: ['79-43=36', '36/4=9']
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[10, 32], Operations: ['79-43=36', '36-4=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[4, 26], Operations: ['79-10=69', '69-43=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[10, 79, 4, 43], Operations: []
Exploring Operation: 79-10=69, Resulting Numbers: [4, 43, 69]
Generated Node #0,0: 30:[4, 43, 69] Operation: 79-10=69
Moving to Node #0,0
Current State: 30:[4, 43, 69], Operations: ['79-10=69']
Exploring Operation: 69-43=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 30:[4, 26] Operation: 69-43=26
Moving to Node #0,0,0
Current State: 30:[4, 26], Operations: ['79-10=69', '69-43=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
94,
18,
9,
11
] | 36 | [
"94*9=846",
"846/18=47",
"47-11=36"
] | Current State: 36:[94, 18, 9, 11], Operations: []
Exploring Operation: 94*9=846, Resulting Numbers: [18, 11, 846]
Generated Node #2: [18, 11, 846] from Operation: 94*9=846
Current State: 36:[18, 11, 846], Operations: ['94*9=846']
Exploring Operation: 846/18=47, Resulting Numbers: [11, 47]
Generated Node #3: [11, 47] from Operation: 846/18=47
Current State: 36:[11, 47], Operations: ['94*9=846', '846/18=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[94, 18, 9, 11], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [94, 18, 2]
Generated Node #0,0: 36:[94, 18, 2] Operation: 11-9=2
Exploring Operation: 18-9=9, Resulting Numbers: [94, 11, 9]
Generated Node #0,1: 36:[94, 11, 9] Operation: 18-9=9
Exploring Operation: 94-18=76, Resulting Numbers: [9, 11, 76]
Generated Node #0,2: 36:[9, 11, 76] Operation: 94-18=76
Exploring Operation: 94-9=85, Resulting Numbers: [18, 11, 85]
Generated Node #0,3: 36:[18, 11, 85] Operation: 94-9=85
Exploring Operation: 94-11=83, Resulting Numbers: [18, 9, 83]
Generated Node #0,4: 36:[18, 9, 83] Operation: 94-11=83
Moving to Node #0,2
Current State: 36:[9, 11, 76], Operations: ['94-18=76']
Exploring Operation: 76-11=65, Resulting Numbers: [9, 65]
Generated Node #0,2,0: 36:[9, 65] Operation: 76-11=65
Exploring Operation: 11-9=2, Resulting Numbers: [76, 2]
Generated Node #0,2,1: 36:[76, 2] Operation: 11-9=2
Exploring Operation: 9+11=20, Resulting Numbers: [76, 20]
Generated Node #0,2,2: 36:[76, 20] Operation: 9+11=20
Exploring Operation: 9+76=85, Resulting Numbers: [11, 85]
Generated Node #0,2,3: 36:[11, 85] Operation: 9+76=85
Exploring Operation: 76-9=67, Resulting Numbers: [11, 67]
Generated Node #0,2,4: 36:[11, 67] Operation: 76-9=67
Moving to Node #0,4
Current State: 36:[18, 9, 83], Operations: ['94-11=83']
Exploring Operation: 18+9=27, Resulting Numbers: [83, 27]
Generated Node #0,4,0: 36:[83, 27] Operation: 18+9=27
Exploring Operation: 83-18=65, Resulting Numbers: [9, 65]
Generated Node #0,4,1: 36:[9, 65] Operation: 83-18=65
Exploring Operation: 18/9=2, Resulting Numbers: [83, 2]
Generated Node #0,4,2: 36:[83, 2] Operation: 18/9=2
Exploring Operation: 83-9=74, Resulting Numbers: [18, 74]
Generated Node #0,4,3: 36:[18, 74] Operation: 83-9=74
Exploring Operation: 18-9=9, Resulting Numbers: [83, 9]
Generated Node #0,4,4: 36:[83, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 36:[9, 65], Operations: ['94-11=83', '83-18=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,36 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 #0,4,3
Current State: 36:[18, 74], Operations: ['94-11=83', '83-9=74']
Exploring Operation: 18+74=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 18*74=1332, Resulting Numbers: [1332]
1332,36 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 #0,4,2
Current State: 36:[83, 2], Operations: ['94-11=83', '18/9=2']
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,36 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,36 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,36 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 #0,4,4
Current State: 36:[83, 9], Operations: ['94-11=83', '18-9=9']
Exploring Operation: 83*9=747, Resulting Numbers: [747]
747,36 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,36 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 #0,4,0
Current State: 36:[83, 27], Operations: ['94-11=83', '18+9=27']
Exploring Operation: 83*27=2241, Resulting Numbers: [2241]
2241,36 unequal: No Solution
Exploring Operation: 83+27=110, Resulting Numbers: [110]
110,36 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,36 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:[18, 11, 85], Operations: ['94-9=85']
Exploring Operation: 11+85=96, Resulting Numbers: [18, 96]
Generated Node #0,3,0: 36:[18, 96] Operation: 11+85=96
Exploring Operation: 18+11=29, Resulting Numbers: [85, 29]
Generated Node #0,3,1: 36:[85, 29] Operation: 18+11=29
Exploring Operation: 18-11=7, Resulting Numbers: [85, 7]
Generated Node #0,3,2: 36:[85, 7] Operation: 18-11=7
Exploring Operation: 85-18=67, Resulting Numbers: [11, 67]
Generated Node #0,3,3: 36:[11, 67] Operation: 85-18=67
Exploring Operation: 85-11=74, Resulting Numbers: [18, 74]
Generated Node #0,3,4: 36:[18, 74] Operation: 85-11=74
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[11, 67], Operations: ['94-9=85', '85-18=67']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 11*67=737, Resulting Numbers: [737]
737,36 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,36 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 #0,3,4
Current State: 36:[18, 74], Operations: ['94-9=85', '85-11=74']
Exploring Operation: 18*74=1332, Resulting Numbers: [1332]
1332,36 unequal: No Solution
Exploring Operation: 18+74=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,36 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:[85, 7], Operations: ['94-9=85', '18-11=7']
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Exploring Operation: 85+7=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 85*7=595, Resulting Numbers: [595]
595,36 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:[85, 29], Operations: ['94-9=85', '18+11=29']
Exploring Operation: 85*29=2465, Resulting Numbers: [2465]
2465,36 unequal: No Solution
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 85+29=114, Resulting Numbers: [114]
114,36 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:[18, 96], Operations: ['94-9=85', '11+85=96']
Exploring Operation: 18*96=1728, Resulting Numbers: [1728]
1728,36 unequal: No Solution
Exploring Operation: 18+96=114, Resulting Numbers: [114]
114,36 unequal: No Solution
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,36 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: 36:[94, 18, 2], Operations: ['11-9=2']
Exploring Operation: 94-18=76, Resulting Numbers: [2, 76]
Generated Node #0,0,0: 36:[2, 76] Operation: 94-18=76
Exploring Operation: 18*2=36, Resulting Numbers: [94, 36]
Generated Node #0,0,1: 36:[94, 36] Operation: 18*2=36
Exploring Operation: 94-2=92, Resulting Numbers: [18, 92]
Generated Node #0,0,2: 36:[18, 92] Operation: 94-2=92
Exploring Operation: 18/2=9, Resulting Numbers: [94, 9]
Generated Node #0,0,3: 36:[94, 9] Operation: 18/2=9
Exploring Operation: 94/2=47, Resulting Numbers: [18, 47]
Generated Node #0,0,4: 36:[18, 47] Operation: 94/2=47
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 36:[18, 47], Operations: ['11-9=2', '94/2=47']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 18*47=846, Resulting Numbers: [846]
846,36 unequal: No Solution
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,36 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:[2, 76], Operations: ['11-9=2', '94-18=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,36 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,36 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 #0,0,2
Current State: 36:[18, 92], Operations: ['11-9=2', '94-2=92']
Exploring Operation: 92-18=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 18+92=110, Resulting Numbers: [110]
110,36 unequal: No Solution
Exploring Operation: 18*92=1656, Resulting Numbers: [1656]
1656,36 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:[94, 36], Operations: ['11-9=2', '18*2=36']
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,36 unequal: No Solution
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,36 unequal: No Solution
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,36 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:[94, 9], Operations: ['11-9=2', '18/2=9']
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,36 unequal: No Solution
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,36 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,36 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:[94, 11, 9], Operations: ['18-9=9']
Exploring Operation: 94-11=83, Resulting Numbers: [9, 83]
Generated Node #0,1,0: 36:[9, 83] Operation: 94-11=83
Exploring Operation: 94+9=103, Resulting Numbers: [11, 103]
Generated Node #0,1,1: 36:[11, 103] Operation: 94+9=103
Exploring Operation: 11-9=2, Resulting Numbers: [94, 2]
Generated Node #0,1,2: 36:[94, 2] Operation: 11-9=2
Exploring Operation: 94-9=85, Resulting Numbers: [11, 85]
Generated Node #0,1,3: 36:[11, 85] Operation: 94-9=85
Exploring Operation: 11+9=20, Resulting Numbers: [94, 20]
Generated Node #0,1,4: 36:[94, 20] Operation: 11+9=20
Moving to Node #0,2,0
Current State: 36:[9, 65], Operations: ['94-18=76', '76-11=65']
Exploring Operation: 9+65=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 9*65=585, Resulting Numbers: [585]
585,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[11, 67], Operations: ['94-18=76', '76-9=67']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Exploring Operation: 11*67=737, Resulting Numbers: [737]
737,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[76, 2], Operations: ['94-18=76', '11-9=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,36 unequal: No Solution
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[76, 20], Operations: ['94-18=76', '9+11=20']
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,36 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[9, 83], Operations: ['18-9=9', '94-11=83']
Exploring Operation: 9+83=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 83-9=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 9*83=747, Resulting Numbers: [747]
747,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[11, 85], Operations: ['18-9=9', '94-9=85']
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 11*85=935, Resulting Numbers: [935]
935,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[11, 85], Operations: ['94-18=76', '9+76=85']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 11*85=935, Resulting Numbers: [935]
935,36 unequal: No Solution
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[94, 2], Operations: ['18-9=9', '11-9=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,36 unequal: No Solution
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 94+2=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 94*2=188, Resulting Numbers: [188]
188,36 unequal: No Solution
Moving to Node #0,1,4
Current State: 36:[94, 20], Operations: ['18-9=9', '11+9=20']
Exploring Operation: 94+20=114, Resulting Numbers: [114]
114,36 unequal: No Solution
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,36 unequal: No Solution
Exploring Operation: 94*20=1880, Resulting Numbers: [1880]
1880,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[11, 103], Operations: ['18-9=9', '94+9=103']
Exploring Operation: 11*103=1133, Resulting Numbers: [1133]
1133,36 unequal: No Solution
Exploring Operation: 11+103=114, Resulting Numbers: [114]
114,36 unequal: No Solution
Exploring Operation: 103-11=92, Resulting Numbers: [92]
92,36 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
26,
79,
25,
18
] | 62 | [
"26+79=105",
"25+18=43",
"105-43=62"
] | Current State: 62:[26, 79, 25, 18], Operations: []
Exploring Operation: 26+79=105, Resulting Numbers: [25, 18, 105]
Generated Node #2: [25, 18, 105] from Operation: 26+79=105
Current State: 62:[25, 18, 105], Operations: ['26+79=105']
Exploring Operation: 25+18=43, Resulting Numbers: [105, 43]
Generated Node #3: [105, 43] from Operation: 25+18=43
Current State: 62:[105, 43], Operations: ['26+79=105', '25+18=43']
Exploring Operation: 105-43=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[26, 79, 25, 18], Operations: []
Exploring Operation: 79-18=61, Resulting Numbers: [26, 25, 61]
Generated Node #0,0: 62:[26, 25, 61] Operation: 79-18=61
Exploring Operation: 79-25=54, Resulting Numbers: [26, 18, 54]
Generated Node #0,1: 62:[26, 18, 54] Operation: 79-25=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[26, 25, 61], Operations: ['79-18=61']
Exploring Operation: 61-26=35, Resulting Numbers: [25, 35]
Generated Node #0,0,0: 62:[25, 35] Operation: 61-26=35
Exploring Operation: 26-25=1, Resulting Numbers: [61, 1]
Generated Node #0,0,1: 62:[61, 1] Operation: 26-25=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[61, 1], Operations: ['79-18=61', '26-25=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[26, 79, 25, 18], Operations: []
Exploring Operation: 79-18=61, Resulting Numbers: [26, 25, 61]
Generated Node #0,0: 62:[26, 25, 61] Operation: 79-18=61
Moving to Node #0,0
Current State: 62:[26, 25, 61], Operations: ['79-18=61']
Exploring Operation: 26-25=1, Resulting Numbers: [61, 1]
Generated Node #0,0,1: 62:[61, 1] Operation: 26-25=1
Moving to Node #0,0,1
Current State: 62:[61, 1], Operations: ['79-18=61', '26-25=1']
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
99,
41,
62,
98
] | 94 | [
"99-41=58",
"98-62=36",
"58+36=94"
] | Current State: 94:[99, 41, 62, 98], Operations: []
Exploring Operation: 99-41=58, Resulting Numbers: [62, 98, 58]
Generated Node #2: [62, 98, 58] from Operation: 99-41=58
Current State: 94:[62, 98, 58], Operations: ['99-41=58']
Exploring Operation: 98-62=36, Resulting Numbers: [58, 36]
Generated Node #3: [58, 36] from Operation: 98-62=36
Current State: 94:[58, 36], Operations: ['99-41=58', '98-62=36']
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[99, 41, 62, 98], Operations: []
Exploring Operation: 41+62=103, Resulting Numbers: [99, 98, 103]
Generated Node #0,0: 94:[99, 98, 103] Operation: 41+62=103
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[99, 98, 103], Operations: ['41+62=103']
Exploring Operation: 103-99=4, Resulting Numbers: [98, 4]
Generated Node #0,0,0: 94:[98, 4] Operation: 103-99=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[98, 4], Operations: ['41+62=103', '103-99=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[99, 41, 62, 98], Operations: []
Exploring Operation: 41+62=103, Resulting Numbers: [99, 98, 103]
Generated Node #0,0: 94:[99, 98, 103] Operation: 41+62=103
Moving to Node #0,0
Current State: 94:[99, 98, 103], Operations: ['41+62=103']
Exploring Operation: 103-99=4, Resulting Numbers: [98, 4]
Generated Node #0,0,0: 94:[98, 4] Operation: 103-99=4
Moving to Node #0,0,0
Current State: 94:[98, 4], Operations: ['41+62=103', '103-99=4']
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
9,
70,
65,
63
] | 22 | [
"70+65=135",
"63+135=198",
"198/9=22"
] | Current State: 22:[9, 70, 65, 63], Operations: []
Exploring Operation: 70+65=135, Resulting Numbers: [9, 63, 135]
Generated Node #2: [9, 63, 135] from Operation: 70+65=135
Current State: 22:[9, 63, 135], Operations: ['70+65=135']
Exploring Operation: 63+135=198, Resulting Numbers: [9, 198]
Generated Node #3: [9, 198] from Operation: 63+135=198
Current State: 22:[9, 198], Operations: ['70+65=135', '63+135=198']
Exploring Operation: 198/9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[9, 70, 65, 63], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [9, 70, 2]
Generated Node #0,0: 22:[9, 70, 2] Operation: 65-63=2
Exploring Operation: 70-65=5, Resulting Numbers: [9, 63, 5]
Generated Node #0,1: 22:[9, 63, 5] Operation: 70-65=5
Exploring Operation: 70-9=61, Resulting Numbers: [65, 63, 61]
Generated Node #0,2: 22:[65, 63, 61] Operation: 70-9=61
Exploring Operation: 70-63=7, Resulting Numbers: [9, 65, 7]
Generated Node #0,3: 22:[9, 65, 7] Operation: 70-63=7
Exploring Operation: 63/9=7, Resulting Numbers: [70, 65, 7]
Generated Node #0,4: 22:[70, 65, 7] Operation: 63/9=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[9, 63, 5], Operations: ['70-65=5']
Exploring Operation: 9-5=4, Resulting Numbers: [63, 4]
Generated Node #0,1,0: 22:[63, 4] Operation: 9-5=4
Exploring Operation: 9+5=14, Resulting Numbers: [63, 14]
Generated Node #0,1,1: 22:[63, 14] Operation: 9+5=14
Exploring Operation: 63/9=7, Resulting Numbers: [5, 7]
Generated Node #0,1,2: 22:[5, 7] Operation: 63/9=7
Exploring Operation: 63-5=58, Resulting Numbers: [9, 58]
Generated Node #0,1,3: 22:[9, 58] Operation: 63-5=58
Exploring Operation: 63-9=54, Resulting Numbers: [5, 54]
Generated Node #0,1,4: 22:[5, 54] Operation: 63-9=54
Moving to Node #0,1,2
Current State: 22:[5, 7], Operations: ['70-65=5', '63/9=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Moving to Node #0,1,4
Current State: 22:[5, 54], Operations: ['70-65=5', '63-9=54']
Exploring Operation: 5+54=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 5*54=270, Resulting Numbers: [270]
270,22 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[9, 58], Operations: ['70-65=5', '63-5=58']
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,22 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[63, 4], Operations: ['70-65=5', '9-5=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,22 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[63, 14], Operations: ['70-65=5', '9+5=14']
Exploring Operation: 63*14=882, Resulting Numbers: [882]
882,22 unequal: No Solution
Exploring Operation: 63+14=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,22 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: 22:[9, 65, 7], Operations: ['70-63=7']
Exploring Operation: 65+7=72, Resulting Numbers: [9, 72]
Generated Node #0,3,0: 22:[9, 72] Operation: 65+7=72
Exploring Operation: 9-7=2, Resulting Numbers: [65, 2]
Generated Node #0,3,1: 22:[65, 2] Operation: 9-7=2
Exploring Operation: 65-9=56, Resulting Numbers: [7, 56]
Generated Node #0,3,2: 22:[7, 56] Operation: 65-9=56
Exploring Operation: 65-7=58, Resulting Numbers: [9, 58]
Generated Node #0,3,3: 22:[9, 58] Operation: 65-7=58
Exploring Operation: 9+7=16, Resulting Numbers: [65, 16]
Generated Node #0,3,4: 22:[65, 16] Operation: 9+7=16
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 22:[7, 56], Operations: ['70-63=7', '65-9=56']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 7*56=392, Resulting Numbers: [392]
392,22 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,22 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 #0,3,3
Current State: 22:[9, 58], Operations: ['70-63=7', '65-7=58']
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,22 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,22 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 #0,3,1
Current State: 22:[65, 2], Operations: ['70-63=7', '9-7=2']
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,22 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,22 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 #0,3,4
Current State: 22:[65, 16], Operations: ['70-63=7', '9+7=16']
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,22 unequal: No Solution
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,22 unequal: No Solution
Exploring Operation: 65*16=1040, Resulting Numbers: [1040]
1040,22 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 #0,3,0
Current State: 22:[9, 72], Operations: ['70-63=7', '65+7=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 9+72=81, Resulting Numbers: [81]
81,22 unequal: No Solution
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 9*72=648, Resulting Numbers: [648]
648,22 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:[9, 70, 2], Operations: ['65-63=2']
Exploring Operation: 70-2=68, Resulting Numbers: [9, 68]
Generated Node #0,0,0: 22:[9, 68] Operation: 70-2=68
Exploring Operation: 70/2=35, Resulting Numbers: [9, 35]
Generated Node #0,0,1: 22:[9, 35] Operation: 70/2=35
Exploring Operation: 70-9=61, Resulting Numbers: [2, 61]
Generated Node #0,0,2: 22:[2, 61] Operation: 70-9=61
Exploring Operation: 9*2=18, Resulting Numbers: [70, 18]
Generated Node #0,0,3: 22:[70, 18] Operation: 9*2=18
Exploring Operation: 9+2=11, Resulting Numbers: [70, 11]
Generated Node #0,0,4: 22:[70, 11] Operation: 9+2=11
Moving to Node #0,0,1
Current State: 22:[9, 35], Operations: ['65-63=2', '70/2=35']
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,22 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,22 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,0,2
Current State: 22:[2, 61], Operations: ['65-63=2', '70-9=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,22 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[9, 68], Operations: ['65-63=2', '70-2=68']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 9+68=77, Resulting Numbers: [77]
77,22 unequal: No Solution
Exploring Operation: 9*68=612, Resulting Numbers: [612]
612,22 unequal: No Solution
Moving to Node #0,0,4
Current State: 22:[70, 11], Operations: ['65-63=2', '9+2=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,22 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[70, 18], Operations: ['65-63=2', '9*2=18']
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,22 unequal: No Solution
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,22 unequal: No Solution
Exploring Operation: 70*18=1260, Resulting Numbers: [1260]
1260,22 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: 22:[70, 65, 7], Operations: ['63/9=7']
Exploring Operation: 70+7=77, Resulting Numbers: [65, 77]
Generated Node #0,4,0: 22:[65, 77] Operation: 70+7=77
Exploring Operation: 65-7=58, Resulting Numbers: [70, 58]
Generated Node #0,4,1: 22:[70, 58] Operation: 65-7=58
Exploring Operation: 70/7=10, Resulting Numbers: [65, 10]
Generated Node #0,4,2: 22:[65, 10] Operation: 70/7=10
Exploring Operation: 70-65=5, Resulting Numbers: [7, 5]
Generated Node #0,4,3: 22:[7, 5] Operation: 70-65=5
Exploring Operation: 70-7=63, Resulting Numbers: [65, 63]
Generated Node #0,4,4: 22:[65, 63] Operation: 70-7=63
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 22:[7, 5], Operations: ['63/9=7', '70-65=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,22 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 #0,4,2
Current State: 22:[65, 10], Operations: ['63/9=7', '70/7=10']
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,22 unequal: No Solution
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,22 unequal: No Solution
Exploring Operation: 65*10=650, Resulting Numbers: [650]
650,22 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 #0,4,1
Current State: 22:[70, 58], Operations: ['63/9=7', '65-7=58']
Exploring Operation: 70+58=128, Resulting Numbers: [128]
128,22 unequal: No Solution
Exploring Operation: 70*58=4060, Resulting Numbers: [4060]
4060,22 unequal: No Solution
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,22 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 #0,4,4
Current State: 22:[65, 63], Operations: ['63/9=7', '70-7=63']
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 65*63=4095, Resulting Numbers: [4095]
4095,22 unequal: No Solution
Exploring Operation: 65+63=128, Resulting Numbers: [128]
128,22 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 #0,4,0
Current State: 22:[65, 77], Operations: ['63/9=7', '70+7=77']
Exploring Operation: 65*77=5005, Resulting Numbers: [5005]
5005,22 unequal: No Solution
Exploring Operation: 77-65=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 65+77=142, Resulting Numbers: [142]
142,22 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 #0,2
Current State: 22:[65, 63, 61], Operations: ['70-9=61']
Exploring Operation: 65-63=2, Resulting Numbers: [61, 2]
Generated Node #0,2,0: 22:[61, 2] Operation: 65-63=2
Exploring Operation: 65+63=128, Resulting Numbers: [61, 128]
Generated Node #0,2,1: 22:[61, 128] Operation: 65+63=128
Exploring Operation: 65-61=4, Resulting Numbers: [63, 4]
Generated Node #0,2,2: 22:[63, 4] Operation: 65-61=4
Exploring Operation: 63-61=2, Resulting Numbers: [65, 2]
Generated Node #0,2,3: 22:[65, 2] Operation: 63-61=2
Exploring Operation: 65+61=126, Resulting Numbers: [63, 126]
Generated Node #0,2,4: 22:[63, 126] Operation: 65+61=126
Moving to Node #0,2,0
Current State: 22:[61, 2], Operations: ['70-9=61', '65-63=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,22 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Moving to Node #0,2,3
Current State: 22:[65, 2], Operations: ['70-9=61', '63-61=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,22 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,22 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[63, 4], Operations: ['70-9=61', '65-61=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,22 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[61, 128], Operations: ['70-9=61', '65+63=128']
Exploring Operation: 128-61=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Exploring Operation: 61*128=7808, Resulting Numbers: [7808]
7808,22 unequal: No Solution
Exploring Operation: 61+128=189, Resulting Numbers: [189]
189,22 unequal: No Solution
Moving to Node #0,2,4
Current State: 22:[63, 126], Operations: ['70-9=61', '65+61=126']
Exploring Operation: 63+126=189, Resulting Numbers: [189]
189,22 unequal: No Solution
Exploring Operation: 126/63=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 63*126=7938, Resulting Numbers: [7938]
7938,22 unequal: No Solution
Exploring Operation: 126-63=63, Resulting Numbers: [63]
63,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
46,
72,
42
] | 62 | [
"2*46=92",
"72-42=30",
"92-30=62"
] | Current State: 62:[2, 46, 72, 42], Operations: []
Exploring Operation: 2*46=92, Resulting Numbers: [72, 42, 92]
Generated Node #2: [72, 42, 92] from Operation: 2*46=92
Current State: 62:[72, 42, 92], Operations: ['2*46=92']
Exploring Operation: 72-42=30, Resulting Numbers: [92, 30]
Generated Node #3: [92, 30] from Operation: 72-42=30
Current State: 62:[92, 30], Operations: ['2*46=92', '72-42=30']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 46, 72, 42], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [2, 72, 4]
Generated Node #0,0: 62:[2, 72, 4] Operation: 46-42=4
Moving to Node #0,0
Current State: 62:[2, 72, 4], Operations: ['46-42=4']
Exploring Operation: 72-4=68, Resulting Numbers: [2, 68]
Generated Node #0,0,0: 62:[2, 68] Operation: 72-4=68
Moving to Node #0,0,0
Current State: 62:[2, 68], Operations: ['46-42=4', '72-4=68']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,62 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
60,
2,
21
] | 44 | [
"7+60=67",
"2+21=23",
"67-23=44"
] | Current State: 44:[7, 60, 2, 21], Operations: []
Exploring Operation: 7+60=67, Resulting Numbers: [2, 21, 67]
Generated Node #2: [2, 21, 67] from Operation: 7+60=67
Current State: 44:[2, 21, 67], Operations: ['7+60=67']
Exploring Operation: 2+21=23, Resulting Numbers: [67, 23]
Generated Node #3: [67, 23] from Operation: 2+21=23
Current State: 44:[67, 23], Operations: ['7+60=67', '2+21=23']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[7, 60, 2, 21], Operations: []
Exploring Operation: 60-7=53, Resulting Numbers: [2, 21, 53]
Generated Node #0,0: 44:[2, 21, 53] Operation: 60-7=53
Exploring Operation: 60-21=39, Resulting Numbers: [7, 2, 39]
Generated Node #0,1: 44:[7, 2, 39] Operation: 60-21=39
Exploring Operation: 60/2=30, Resulting Numbers: [7, 21, 30]
Generated Node #0,2: 44:[7, 21, 30] Operation: 60/2=30
Moving to Node #0,1
Current State: 44:[7, 2, 39], Operations: ['60-21=39']
Exploring Operation: 7-2=5, Resulting Numbers: [39, 5]
Generated Node #0,1,0: 44:[39, 5] Operation: 7-2=5
Exploring Operation: 7+39=46, Resulting Numbers: [2, 46]
Generated Node #0,1,1: 44:[2, 46] Operation: 7+39=46
Exploring Operation: 2+39=41, Resulting Numbers: [7, 41]
Generated Node #0,1,2: 44:[7, 41] Operation: 2+39=41
Moving to Node #0,0
Current State: 44:[2, 21, 53], Operations: ['60-7=53']
Exploring Operation: 53-2=51, Resulting Numbers: [21, 51]
Generated Node #0,0,0: 44:[21, 51] Operation: 53-2=51
Exploring Operation: 2+21=23, Resulting Numbers: [53, 23]
Generated Node #0,0,1: 44:[53, 23] Operation: 2+21=23
Exploring Operation: 53-21=32, Resulting Numbers: [2, 32]
Generated Node #0,0,2: 44:[2, 32] Operation: 53-21=32
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[21, 51], Operations: ['60-7=53', '53-2=51']
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,44 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,44 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 #0,0,1
Current State: 44:[53, 23], Operations: ['60-7=53', '2+21=23']
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,44 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,44 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 #0,0,2
Current State: 44:[2, 32], Operations: ['60-7=53', '53-21=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,44 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: 44:[7, 21, 30], Operations: ['60/2=30']
Exploring Operation: 30-7=23, Resulting Numbers: [21, 23]
Generated Node #0,2,0: 44:[21, 23] Operation: 30-7=23
Exploring Operation: 30-21=9, Resulting Numbers: [7, 9]
Generated Node #0,2,1: 44:[7, 9] Operation: 30-21=9
Exploring Operation: 7+30=37, Resulting Numbers: [21, 37]
Generated Node #0,2,2: 44:[21, 37] Operation: 7+30=37
Moving to Node #0,1,1
Current State: 44:[2, 46], Operations: ['60-21=39', '7+39=46']
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[7, 60, 2, 21], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [7, 2, 39]
Generated Node #0,1: 44:[7, 2, 39] Operation: 60-21=39
Moving to Node #0,1
Current State: 44:[7, 2, 39], Operations: ['60-21=39']
Exploring Operation: 7+39=46, Resulting Numbers: [2, 46]
Generated Node #0,1,1: 44:[2, 46] Operation: 7+39=46
Moving to Node #0,1,1
Current State: 44:[2, 46], Operations: ['60-21=39', '7+39=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
1,
91,
58,
73
] | 76 | [
"1*91=91",
"73-58=15",
"91-15=76"
] | Current State: 76:[1, 91, 58, 73], Operations: []
Exploring Operation: 1*91=91, Resulting Numbers: [58, 73, 91]
Generated Node #2: [58, 73, 91] from Operation: 1*91=91
Current State: 76:[58, 73, 91], Operations: ['1*91=91']
Exploring Operation: 73-58=15, Resulting Numbers: [91, 15]
Generated Node #3: [91, 15] from Operation: 73-58=15
Current State: 76:[91, 15], Operations: ['1*91=91', '73-58=15']
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[1, 91, 58, 73], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [1, 91, 15]
Generated Node #0,0: 76:[1, 91, 15] Operation: 73-58=15
Exploring Operation: 91-58=33, Resulting Numbers: [1, 73, 33]
Generated Node #0,1: 76:[1, 73, 33] Operation: 91-58=33
Exploring Operation: 91-73=18, Resulting Numbers: [1, 58, 18]
Generated Node #0,2: 76:[1, 58, 18] Operation: 91-73=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[1, 73, 33], Operations: ['91-58=33']
Exploring Operation: 73-33=40, Resulting Numbers: [1, 40]
Generated Node #0,1,0: 76:[1, 40] Operation: 73-33=40
Exploring Operation: 1+33=34, Resulting Numbers: [73, 34]
Generated Node #0,1,1: 76:[73, 34] Operation: 1+33=34
Exploring Operation: 1+73=74, Resulting Numbers: [33, 74]
Generated Node #0,1,2: 76:[33, 74] Operation: 1+73=74
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[1, 40], Operations: ['91-58=33', '73-33=40']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,76 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: 76:[73, 34], Operations: ['91-58=33', '1+33=34']
Exploring Operation: 73*34=2482, Resulting Numbers: [2482]
2482,76 unequal: No Solution
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 73+34=107, Resulting Numbers: [107]
107,76 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: 76:[33, 74], Operations: ['91-58=33', '1+73=74']
Exploring Operation: 33+74=107, Resulting Numbers: [107]
107,76 unequal: No Solution
Exploring Operation: 33*74=2442, Resulting Numbers: [2442]
2442,76 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,76 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: 76:[1, 91, 15], Operations: ['73-58=15']
Exploring Operation: 91-1=90, Resulting Numbers: [15, 90]
Generated Node #0,0,0: 76:[15, 90] Operation: 91-1=90
Exploring Operation: 1+15=16, Resulting Numbers: [91, 16]
Generated Node #0,0,1: 76:[91, 16] Operation: 1+15=16
Exploring Operation: 91-15=76, Resulting Numbers: [1, 76]
Generated Node #0,0,2: 76:[1, 76] Operation: 91-15=76
Moving to Node #0,0,2
Current State: 76:[1, 76], Operations: ['73-58=15', '91-15=76']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[1, 91, 58, 73], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [1, 91, 15]
Generated Node #0,0: 76:[1, 91, 15] Operation: 73-58=15
Moving to Node #0,0
Current State: 76:[1, 91, 15], Operations: ['73-58=15']
Exploring Operation: 91-15=76, Resulting Numbers: [1, 76]
Generated Node #0,0,2: 76:[1, 76] Operation: 91-15=76
Moving to Node #0,0,2
Current State: 76:[1, 76], Operations: ['73-58=15', '91-15=76']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
40,
91,
37,
85
] | 83 | [
"40+91=131",
"85-37=48",
"131-48=83"
] | Current State: 83:[40, 91, 37, 85], Operations: []
Exploring Operation: 40+91=131, Resulting Numbers: [37, 85, 131]
Generated Node #2: [37, 85, 131] from Operation: 40+91=131
Current State: 83:[37, 85, 131], Operations: ['40+91=131']
Exploring Operation: 85-37=48, Resulting Numbers: [131, 48]
Generated Node #3: [131, 48] from Operation: 85-37=48
Current State: 83:[131, 48], Operations: ['40+91=131', '85-37=48']
Exploring Operation: 131-48=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[40, 91, 37, 85], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [40, 85, 54]
Generated Node #0,0: 83:[40, 85, 54] Operation: 91-37=54
Exploring Operation: 91-40=51, Resulting Numbers: [37, 85, 51]
Generated Node #0,1: 83:[37, 85, 51] Operation: 91-40=51
Exploring Operation: 40+37=77, Resulting Numbers: [91, 85, 77]
Generated Node #0,2: 83:[91, 85, 77] Operation: 40+37=77
Moving to Node #0,2
Current State: 83:[91, 85, 77], Operations: ['40+37=77']
Exploring Operation: 85-77=8, Resulting Numbers: [91, 8]
Generated Node #0,2,0: 83:[91, 8] Operation: 85-77=8
Exploring Operation: 91-77=14, Resulting Numbers: [85, 14]
Generated Node #0,2,1: 83:[85, 14] Operation: 91-77=14
Exploring Operation: 91-85=6, Resulting Numbers: [77, 6]
Generated Node #0,2,2: 83:[77, 6] Operation: 91-85=6
Moving to Node #0,0
Current State: 83:[40, 85, 54], Operations: ['91-37=54']
Exploring Operation: 40+54=94, Resulting Numbers: [85, 94]
Generated Node #0,0,0: 83:[85, 94] Operation: 40+54=94
Exploring Operation: 40+85=125, Resulting Numbers: [54, 125]
Generated Node #0,0,1: 83:[54, 125] Operation: 40+85=125
Exploring Operation: 85-40=45, Resulting Numbers: [54, 45]
Generated Node #0,0,2: 83:[54, 45] Operation: 85-40=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[85, 94], Operations: ['91-37=54', '40+54=94']
Exploring Operation: 85*94=7990, Resulting Numbers: [7990]
7990,83 unequal: No Solution
Exploring Operation: 85+94=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,83 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 #0,0,2
Current State: 83:[54, 45], Operations: ['91-37=54', '85-40=45']
Exploring Operation: 54*45=2430, Resulting Numbers: [2430]
2430,83 unequal: No Solution
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,83 unequal: No Solution
Exploring Operation: 54+45=99, Resulting Numbers: [99]
99,83 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 #0,0,1
Current State: 83:[54, 125], Operations: ['91-37=54', '40+85=125']
Exploring Operation: 125-54=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 54+125=179, Resulting Numbers: [179]
179,83 unequal: No Solution
Exploring Operation: 54*125=6750, Resulting Numbers: [6750]
6750,83 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: 83:[37, 85, 51], Operations: ['91-40=51']
Exploring Operation: 85-37=48, Resulting Numbers: [51, 48]
Generated Node #0,1,0: 83:[51, 48] Operation: 85-37=48
Exploring Operation: 37+85=122, Resulting Numbers: [51, 122]
Generated Node #0,1,1: 83:[51, 122] Operation: 37+85=122
Exploring Operation: 37+51=88, Resulting Numbers: [85, 88]
Generated Node #0,1,2: 83:[85, 88] Operation: 37+51=88
Moving to Node #0,1,2
Current State: 83:[85, 88], Operations: ['91-40=51', '37+51=88']
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 85*88=7480, Resulting Numbers: [7480]
7480,83 unequal: No Solution
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[51, 48], Operations: ['91-40=51', '85-37=48']
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 51*48=2448, Resulting Numbers: [2448]
2448,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[51, 122], Operations: ['91-40=51', '37+85=122']
Exploring Operation: 51+122=173, Resulting Numbers: [173]
173,83 unequal: No Solution
Exploring Operation: 51*122=6222, Resulting Numbers: [6222]
6222,83 unequal: No Solution
Exploring Operation: 122-51=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[85, 14], Operations: ['40+37=77', '91-77=14']
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,83 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[91, 8], Operations: ['40+37=77', '85-77=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 91*8=728, Resulting Numbers: [728]
728,83 unequal: No Solution
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[40, 91, 37, 85], Operations: []
Exploring Operation: 40+37=77, Resulting Numbers: [91, 85, 77]
Generated Node #0,2: 83:[91, 85, 77] Operation: 40+37=77
Moving to Node #0,2
Current State: 83:[91, 85, 77], Operations: ['40+37=77']
Exploring Operation: 85-77=8, Resulting Numbers: [91, 8]
Generated Node #0,2,0: 83:[91, 8] Operation: 85-77=8
Moving to Node #0,2,0
Current State: 83:[91, 8], Operations: ['40+37=77', '85-77=8']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.965278 | hs_3 | sum_heuristic |
[
98,
55,
97,
37
] | 17 | [
"98-55=43",
"97-37=60",
"60-43=17"
] | Current State: 17:[98, 55, 97, 37], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [97, 37, 43]
Generated Node #2: [97, 37, 43] from Operation: 98-55=43
Current State: 17:[97, 37, 43], Operations: ['98-55=43']
Exploring Operation: 97-37=60, Resulting Numbers: [43, 60]
Generated Node #3: [43, 60] from Operation: 97-37=60
Current State: 17:[43, 60], Operations: ['98-55=43', '97-37=60']
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[98, 55, 97, 37], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [98, 97, 18]
Generated Node #0,0: 17:[98, 97, 18] Operation: 55-37=18
Exploring Operation: 98-97=1, Resulting Numbers: [55, 37, 1]
Generated Node #0,1: 17:[55, 37, 1] Operation: 98-97=1
Exploring Operation: 98-55=43, Resulting Numbers: [97, 37, 43]
Generated Node #0,2: 17:[97, 37, 43] Operation: 98-55=43
Exploring Operation: 98-37=61, Resulting Numbers: [55, 97, 61]
Generated Node #0,3: 17:[55, 97, 61] Operation: 98-37=61
Exploring Operation: 97-55=42, Resulting Numbers: [98, 37, 42]
Generated Node #0,4: 17:[98, 37, 42] Operation: 97-55=42
Moving to Node #0,1
Current State: 17:[55, 37, 1], Operations: ['98-97=1']
Exploring Operation: 55/1=55, Resulting Numbers: [37, 55]
Generated Node #0,1,0: 17:[37, 55] Operation: 55/1=55
Exploring Operation: 55*1=55, Resulting Numbers: [37, 55]
Generated Node #0,1,1: 17:[37, 55] Operation: 55*1=55
Exploring Operation: 55-37=18, Resulting Numbers: [1, 18]
Generated Node #0,1,2: 17:[1, 18] Operation: 55-37=18
Exploring Operation: 37-1=36, Resulting Numbers: [55, 36]
Generated Node #0,1,3: 17:[55, 36] Operation: 37-1=36
Exploring Operation: 55-1=54, Resulting Numbers: [37, 54]
Generated Node #0,1,4: 17:[37, 54] Operation: 55-1=54
Moving to Node #0,4
Current State: 17:[98, 37, 42], Operations: ['97-55=42']
Exploring Operation: 98+37=135, Resulting Numbers: [42, 135]
Generated Node #0,4,0: 17:[42, 135] Operation: 98+37=135
Exploring Operation: 42-37=5, Resulting Numbers: [98, 5]
Generated Node #0,4,1: 17:[98, 5] Operation: 42-37=5
Exploring Operation: 98+42=140, Resulting Numbers: [37, 140]
Generated Node #0,4,2: 17:[37, 140] Operation: 98+42=140
Exploring Operation: 98-37=61, Resulting Numbers: [42, 61]
Generated Node #0,4,3: 17:[42, 61] Operation: 98-37=61
Exploring Operation: 98-42=56, Resulting Numbers: [37, 56]
Generated Node #0,4,4: 17:[37, 56] Operation: 98-42=56
Moving to Node #0,2
Current State: 17:[97, 37, 43], Operations: ['98-55=43']
Exploring Operation: 97-37=60, Resulting Numbers: [43, 60]
Generated Node #0,2,0: 17:[43, 60] Operation: 97-37=60
Exploring Operation: 97+37=134, Resulting Numbers: [43, 134]
Generated Node #0,2,1: 17:[43, 134] Operation: 97+37=134
Exploring Operation: 43-37=6, Resulting Numbers: [97, 6]
Generated Node #0,2,2: 17:[97, 6] Operation: 43-37=6
Exploring Operation: 97-43=54, Resulting Numbers: [37, 54]
Generated Node #0,2,3: 17:[37, 54] Operation: 97-43=54
Exploring Operation: 97+43=140, Resulting Numbers: [37, 140]
Generated Node #0,2,4: 17:[37, 140] Operation: 97+43=140
Moving to Node #0,0
Current State: 17:[98, 97, 18], Operations: ['55-37=18']
Exploring Operation: 98-97=1, Resulting Numbers: [18, 1]
Generated Node #0,0,0: 17:[18, 1] Operation: 98-97=1
Exploring Operation: 98-18=80, Resulting Numbers: [97, 80]
Generated Node #0,0,1: 17:[97, 80] Operation: 98-18=80
Exploring Operation: 98+97=195, Resulting Numbers: [18, 195]
Generated Node #0,0,2: 17:[18, 195] Operation: 98+97=195
Exploring Operation: 98+18=116, Resulting Numbers: [97, 116]
Generated Node #0,0,3: 17:[97, 116] Operation: 98+18=116
Exploring Operation: 97-18=79, Resulting Numbers: [98, 79]
Generated Node #0,0,4: 17:[98, 79] Operation: 97-18=79
Moving to Node #0,3
Current State: 17:[55, 97, 61], Operations: ['98-37=61']
Exploring Operation: 55+61=116, Resulting Numbers: [97, 116]
Generated Node #0,3,0: 17:[97, 116] Operation: 55+61=116
Exploring Operation: 97-55=42, Resulting Numbers: [61, 42]
Generated Node #0,3,1: 17:[61, 42] Operation: 97-55=42
Exploring Operation: 55+97=152, Resulting Numbers: [61, 152]
Generated Node #0,3,2: 17:[61, 152] Operation: 55+97=152
Exploring Operation: 97-61=36, Resulting Numbers: [55, 36]
Generated Node #0,3,3: 17:[55, 36] Operation: 97-61=36
Exploring Operation: 61-55=6, Resulting Numbers: [97, 6]
Generated Node #0,3,4: 17:[97, 6] Operation: 61-55=6
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[55, 36], Operations: ['98-37=61', '97-61=36']
Exploring Operation: 55+36=91, Resulting Numbers: [91]
91,17 unequal: No Solution
Exploring Operation: 55*36=1980, Resulting Numbers: [1980]
1980,17 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,17 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: 17:[61, 42], Operations: ['98-37=61', '97-55=42']
Exploring Operation: 61*42=2562, Resulting Numbers: [2562]
2562,17 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 61+42=103, Resulting Numbers: [103]
103,17 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: 17:[97, 6], Operations: ['98-37=61', '61-55=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,17 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,17 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: 17:[97, 116], Operations: ['98-37=61', '55+61=116']
Exploring Operation: 97*116=11252, Resulting Numbers: [11252]
11252,17 unequal: No Solution
Exploring Operation: 97+116=213, Resulting Numbers: [213]
213,17 unequal: No Solution
Exploring Operation: 116-97=19, Resulting Numbers: [19]
19,17 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: 17:[61, 152], Operations: ['98-37=61', '55+97=152']
Exploring Operation: 152-61=91, Resulting Numbers: [91]
91,17 unequal: No Solution
Exploring Operation: 61+152=213, Resulting Numbers: [213]
213,17 unequal: No Solution
Exploring Operation: 61*152=9272, Resulting Numbers: [9272]
9272,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 17:[1, 18], Operations: ['98-97=1', '55-37=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[98, 55, 97, 37], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [55, 37, 1]
Generated Node #0,1: 17:[55, 37, 1] Operation: 98-97=1
Moving to Node #0,1
Current State: 17:[55, 37, 1], Operations: ['98-97=1']
Exploring Operation: 55-37=18, Resulting Numbers: [1, 18]
Generated Node #0,1,2: 17:[1, 18] Operation: 55-37=18
Moving to Node #0,1,2
Current State: 17:[1, 18], Operations: ['98-97=1', '55-37=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.956597 | hs_5 | mult_heuristic |
[
32,
49,
48,
98
] | 32 | [
"32*49=1568",
"1568/98=16",
"48-16=32"
] | Current State: 32:[32, 49, 48, 98], Operations: []
Exploring Operation: 32*49=1568, Resulting Numbers: [48, 98, 1568]
Generated Node #2: [48, 98, 1568] from Operation: 32*49=1568
Current State: 32:[48, 98, 1568], Operations: ['32*49=1568']
Exploring Operation: 1568/98=16, Resulting Numbers: [48, 16]
Generated Node #3: [48, 16] from Operation: 1568/98=16
Current State: 32:[48, 16], Operations: ['32*49=1568', '1568/98=16']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[32, 49, 48, 98], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [32, 48, 49]
Generated Node #0,0: 32:[32, 48, 49] Operation: 98-49=49
Exploring Operation: 98/49=2, Resulting Numbers: [32, 48, 2]
Generated Node #0,1: 32:[32, 48, 2] Operation: 98/49=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[32, 48, 2], Operations: ['98/49=2']
Exploring Operation: 48/2=24, Resulting Numbers: [32, 24]
Generated Node #0,1,0: 32:[32, 24] Operation: 48/2=24
Exploring Operation: 48-32=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 32:[2, 16] Operation: 48-32=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 32:[2, 16], Operations: ['98/49=2', '48-32=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[32, 49, 48, 98], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [32, 48, 2]
Generated Node #0,1: 32:[32, 48, 2] Operation: 98/49=2
Moving to Node #0,1
Current State: 32:[32, 48, 2], Operations: ['98/49=2']
Exploring Operation: 48-32=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 32:[2, 16] Operation: 48-32=16
Moving to Node #0,1,1
Current State: 32:[2, 16], Operations: ['98/49=2', '48-32=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
38,
9,
94,
15
] | 79 | [
"94-38=56",
"9*15=135",
"135-56=79"
] | Current State: 79:[38, 9, 94, 15], Operations: []
Exploring Operation: 94-38=56, Resulting Numbers: [9, 15, 56]
Generated Node #2: [9, 15, 56] from Operation: 94-38=56
Current State: 79:[9, 15, 56], Operations: ['94-38=56']
Exploring Operation: 9*15=135, Resulting Numbers: [56, 135]
Generated Node #3: [56, 135] from Operation: 9*15=135
Current State: 79:[56, 135], Operations: ['94-38=56', '9*15=135']
Exploring Operation: 135-56=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[38, 9, 94, 15], Operations: []
Exploring Operation: 38+9=47, Resulting Numbers: [94, 15, 47]
Generated Node #0,0: 79:[94, 15, 47] Operation: 38+9=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[94, 15, 47], Operations: ['38+9=47']
Exploring Operation: 94-15=79, Resulting Numbers: [47, 79]
Generated Node #0,0,0: 79:[47, 79] Operation: 94-15=79
Moving to Node #0,0,0
Current State: 79:[47, 79], Operations: ['38+9=47', '94-15=79']
Exploring Operation: 47+79=126, Resulting Numbers: [126]
126,79 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 |
[
87,
50,
45,
27
] | 19 | [
"87-50=37",
"45-27=18",
"37-18=19"
] | Current State: 19:[87, 50, 45, 27], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [45, 27, 37]
Generated Node #2: [45, 27, 37] from Operation: 87-50=37
Current State: 19:[45, 27, 37], Operations: ['87-50=37']
Exploring Operation: 45-27=18, Resulting Numbers: [37, 18]
Generated Node #3: [37, 18] from Operation: 45-27=18
Current State: 19:[37, 18], Operations: ['87-50=37', '45-27=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[87, 50, 45, 27], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [45, 27, 37]
Generated Node #0,0: 19:[45, 27, 37] Operation: 87-50=37
Exploring Operation: 87-45=42, Resulting Numbers: [50, 27, 42]
Generated Node #0,1: 19:[50, 27, 42] Operation: 87-45=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[45, 27, 37], Operations: ['87-50=37']
Exploring Operation: 45-27=18, Resulting Numbers: [37, 18]
Generated Node #0,0,0: 19:[37, 18] Operation: 45-27=18
Exploring Operation: 45-37=8, Resulting Numbers: [27, 8]
Generated Node #0,0,1: 19:[27, 8] Operation: 45-37=8
Moving to Node #0,0,0
Current State: 19:[37, 18], Operations: ['87-50=37', '45-27=18']
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[87, 50, 45, 27], Operations: []
Exploring Operation: 87-50=37, Resulting Numbers: [45, 27, 37]
Generated Node #0,0: 19:[45, 27, 37] Operation: 87-50=37
Moving to Node #0,0
Current State: 19:[45, 27, 37], Operations: ['87-50=37']
Exploring Operation: 45-27=18, Resulting Numbers: [37, 18]
Generated Node #0,0,0: 19:[37, 18] Operation: 45-27=18
Moving to Node #0,0,0
Current State: 19:[37, 18], Operations: ['87-50=37', '45-27=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
27,
24,
6,
42
] | 58 | [
"27+24=51",
"42/6=7",
"51+7=58"
] | Current State: 58:[27, 24, 6, 42], Operations: []
Exploring Operation: 27+24=51, Resulting Numbers: [6, 42, 51]
Generated Node #2: [6, 42, 51] from Operation: 27+24=51
Current State: 58:[6, 42, 51], Operations: ['27+24=51']
Exploring Operation: 42/6=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 42/6=7
Current State: 58:[51, 7], Operations: ['27+24=51', '42/6=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[27, 24, 6, 42], Operations: []
Exploring Operation: 24+42=66, Resulting Numbers: [27, 6, 66]
Generated Node #0,0: 58:[27, 6, 66] Operation: 24+42=66
Exploring Operation: 42/6=7, Resulting Numbers: [27, 24, 7]
Generated Node #0,1: 58:[27, 24, 7] Operation: 42/6=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[27, 24, 7], Operations: ['42/6=7']
Exploring Operation: 24+7=31, Resulting Numbers: [27, 31]
Generated Node #0,1,0: 58:[27, 31] Operation: 24+7=31
Exploring Operation: 27-24=3, Resulting Numbers: [7, 3]
Generated Node #0,1,1: 58:[7, 3] Operation: 27-24=3
Moving to Node #0,1,0
Current State: 58:[27, 31], Operations: ['42/6=7', '24+7=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[27, 24, 6, 42], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [27, 24, 7]
Generated Node #0,1: 58:[27, 24, 7] Operation: 42/6=7
Moving to Node #0,1
Current State: 58:[27, 24, 7], Operations: ['42/6=7']
Exploring Operation: 24+7=31, Resulting Numbers: [27, 31]
Generated Node #0,1,0: 58:[27, 31] Operation: 24+7=31
Moving to Node #0,1,0
Current State: 58:[27, 31], Operations: ['42/6=7', '24+7=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
41,
19,
1,
3
] | 20 | [
"41+19=60",
"1*3=3",
"60/3=20"
] | Current State: 20:[41, 19, 1, 3], Operations: []
Exploring Operation: 41+19=60, Resulting Numbers: [1, 3, 60]
Generated Node #2: [1, 3, 60] from Operation: 41+19=60
Current State: 20:[1, 3, 60], Operations: ['41+19=60']
Exploring Operation: 1*3=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 1*3=3
Current State: 20:[60, 3], Operations: ['41+19=60', '1*3=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[41, 19, 1, 3], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [19, 3, 40]
Generated Node #0,0: 20:[19, 3, 40] Operation: 41-1=40
Exploring Operation: 19+1=20, Resulting Numbers: [41, 3, 20]
Generated Node #0,1: 20:[41, 3, 20] Operation: 19+1=20
Exploring Operation: 41-3=38, Resulting Numbers: [19, 1, 38]
Generated Node #0,2: 20:[19, 1, 38] Operation: 41-3=38
Exploring Operation: 41-19=22, Resulting Numbers: [1, 3, 22]
Generated Node #0,3: 20:[1, 3, 22] Operation: 41-19=22
Moving to Node #0,3
Current State: 20:[1, 3, 22], Operations: ['41-19=22']
Exploring Operation: 22-1=21, Resulting Numbers: [3, 21]
Generated Node #0,3,0: 20:[3, 21] Operation: 22-1=21
Exploring Operation: 22-3=19, Resulting Numbers: [1, 19]
Generated Node #0,3,1: 20:[1, 19] Operation: 22-3=19
Exploring Operation: 1+3=4, Resulting Numbers: [22, 4]
Generated Node #0,3,2: 20:[22, 4] Operation: 1+3=4
Exploring Operation: 3-1=2, Resulting Numbers: [22, 2]
Generated Node #0,3,3: 20:[22, 2] Operation: 3-1=2
Moving to Node #0,2
Current State: 20:[19, 1, 38], Operations: ['41-3=38']
Exploring Operation: 38-19=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 20:[1, 19] Operation: 38-19=19
Exploring Operation: 38/19=2, Resulting Numbers: [1, 2]
Generated Node #0,2,1: 20:[1, 2] Operation: 38/19=2
Exploring Operation: 38-1=37, Resulting Numbers: [19, 37]
Generated Node #0,2,2: 20:[19, 37] Operation: 38-1=37
Exploring Operation: 19+1=20, Resulting Numbers: [38, 20]
Generated Node #0,2,3: 20:[38, 20] Operation: 19+1=20
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[1, 2], Operations: ['41-3=38', '38/19=2']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,20 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 #0,2,0
Current State: 20:[1, 19], Operations: ['41-3=38', '38-19=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[41, 19, 1, 3], Operations: []
Exploring Operation: 41-3=38, Resulting Numbers: [19, 1, 38]
Generated Node #0,2: 20:[19, 1, 38] Operation: 41-3=38
Moving to Node #0,2
Current State: 20:[19, 1, 38], Operations: ['41-3=38']
Exploring Operation: 38-19=19, Resulting Numbers: [1, 19]
Generated Node #0,2,0: 20:[1, 19] Operation: 38-19=19
Moving to Node #0,2,0
Current State: 20:[1, 19], Operations: ['41-3=38', '38-19=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
16,
3,
18,
33
] | 55 | [
"16+33=49",
"18/3=6",
"49+6=55"
] | Current State: 55:[16, 3, 18, 33], Operations: []
Exploring Operation: 16+33=49, Resulting Numbers: [3, 18, 49]
Generated Node #2: [3, 18, 49] from Operation: 16+33=49
Current State: 55:[3, 18, 49], Operations: ['16+33=49']
Exploring Operation: 18/3=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 18/3=6
Current State: 55:[49, 6], Operations: ['16+33=49', '18/3=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[16, 3, 18, 33], Operations: []
Exploring Operation: 16+33=49, Resulting Numbers: [3, 18, 49]
Generated Node #0,0: 55:[3, 18, 49] Operation: 16+33=49
Exploring Operation: 33/3=11, Resulting Numbers: [16, 18, 11]
Generated Node #0,1: 55:[16, 18, 11] Operation: 33/3=11
Exploring Operation: 18+33=51, Resulting Numbers: [16, 3, 51]
Generated Node #0,2: 55:[16, 3, 51] Operation: 18+33=51
Exploring Operation: 33-18=15, Resulting Numbers: [16, 3, 15]
Generated Node #0,3: 55:[16, 3, 15] Operation: 33-18=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[16, 3, 51], Operations: ['18+33=51']
Exploring Operation: 16-3=13, Resulting Numbers: [51, 13]
Generated Node #0,2,0: 55:[51, 13] Operation: 16-3=13
Exploring Operation: 16*3=48, Resulting Numbers: [51, 48]
Generated Node #0,2,1: 55:[51, 48] Operation: 16*3=48
Exploring Operation: 3+51=54, Resulting Numbers: [16, 54]
Generated Node #0,2,2: 55:[16, 54] Operation: 3+51=54
Exploring Operation: 51/3=17, Resulting Numbers: [16, 17]
Generated Node #0,2,3: 55:[16, 17] Operation: 51/3=17
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 55:[51, 13], Operations: ['18+33=51', '16-3=13']
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,55 unequal: No Solution
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,55 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: 55:[16, 54], Operations: ['18+33=51', '3+51=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,55 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,55 unequal: No Solution
Exploring Operation: 16*54=864, Resulting Numbers: [864]
864,55 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: 55:[51, 48], Operations: ['18+33=51', '16*3=48']
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,55 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 51*48=2448, Resulting Numbers: [2448]
2448,55 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: 55:[16, 17], Operations: ['18+33=51', '51/3=17']
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,55 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,55 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,55 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: 55:[16, 3, 15], Operations: ['33-18=15']
Exploring Operation: 15-3=12, Resulting Numbers: [16, 12]
Generated Node #0,3,0: 55:[16, 12] Operation: 15-3=12
Exploring Operation: 16-3=13, Resulting Numbers: [15, 13]
Generated Node #0,3,1: 55:[15, 13] Operation: 16-3=13
Exploring Operation: 15/3=5, Resulting Numbers: [16, 5]
Generated Node #0,3,2: 55:[16, 5] Operation: 15/3=5
Exploring Operation: 16-15=1, Resulting Numbers: [3, 1]
Generated Node #0,3,3: 55:[3, 1] Operation: 16-15=1
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 55:[16, 5], Operations: ['33-18=15', '15/3=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,55 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,55 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: 55:[16, 12], Operations: ['33-18=15', '15-3=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,55 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,55 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: 55:[15, 13], Operations: ['33-18=15', '16-3=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,55 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,55 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,55 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: 55:[3, 1], Operations: ['33-18=15', '16-15=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,55 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: 55:[16, 18, 11], Operations: ['33/3=11']
Exploring Operation: 18-11=7, Resulting Numbers: [16, 7]
Generated Node #0,1,0: 55:[16, 7] Operation: 18-11=7
Exploring Operation: 16+18=34, Resulting Numbers: [11, 34]
Generated Node #0,1,1: 55:[11, 34] Operation: 16+18=34
Exploring Operation: 18-16=2, Resulting Numbers: [11, 2]
Generated Node #0,1,2: 55:[11, 2] Operation: 18-16=2
Exploring Operation: 16-11=5, Resulting Numbers: [18, 5]
Generated Node #0,1,3: 55:[18, 5] Operation: 16-11=5
Moving to Node #0,1,2
Current State: 55:[11, 2], Operations: ['33/3=11', '18-16=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[18, 5], Operations: ['33/3=11', '16-11=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[16, 7], Operations: ['33/3=11', '18-11=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[11, 34], Operations: ['33/3=11', '16+18=34']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,55 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,55 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: 55:[3, 18, 49], Operations: ['16+33=49']
Exploring Operation: 3+49=52, Resulting Numbers: [18, 52]
Generated Node #0,0,0: 55:[18, 52] Operation: 3+49=52
Exploring Operation: 18/3=6, Resulting Numbers: [49, 6]
Generated Node #0,0,1: 55:[49, 6] Operation: 18/3=6
Exploring Operation: 3*18=54, Resulting Numbers: [49, 54]
Generated Node #0,0,2: 55:[49, 54] Operation: 3*18=54
Exploring Operation: 18-3=15, Resulting Numbers: [49, 15]
Generated Node #0,0,3: 55:[49, 15] Operation: 18-3=15
Moving to Node #0,0,1
Current State: 55:[49, 6], Operations: ['16+33=49', '18/3=6']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,55 unequal: No Solution
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[16, 3, 18, 33], Operations: []
Exploring Operation: 16+33=49, Resulting Numbers: [3, 18, 49]
Generated Node #0,0: 55:[3, 18, 49] Operation: 16+33=49
Moving to Node #0,0
Current State: 55:[3, 18, 49], Operations: ['16+33=49']
Exploring Operation: 18/3=6, Resulting Numbers: [49, 6]
Generated Node #0,0,1: 55:[49, 6] Operation: 18/3=6
Moving to Node #0,0,1
Current State: 55:[49, 6], Operations: ['16+33=49', '18/3=6']
Exploring Operation: 49+6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_4 | mult_heuristic |
[
57,
5,
4,
32
] | 20 | [
"57-32=25",
"25/5=5",
"4*5=20"
] | Current State: 20:[57, 5, 4, 32], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [5, 4, 25]
Generated Node #2: [5, 4, 25] from Operation: 57-32=25
Current State: 20:[5, 4, 25], Operations: ['57-32=25']
Exploring Operation: 25/5=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 25/5=5
Current State: 20:[4, 5], Operations: ['57-32=25', '25/5=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[57, 5, 4, 32], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [5, 4, 25]
Generated Node #0,0: 20:[5, 4, 25] Operation: 57-32=25
Exploring Operation: 32/4=8, Resulting Numbers: [57, 5, 8]
Generated Node #0,1: 20:[57, 5, 8] Operation: 32/4=8
Exploring Operation: 57-4=53, Resulting Numbers: [5, 32, 53]
Generated Node #0,2: 20:[5, 32, 53] Operation: 57-4=53
Exploring Operation: 57-5=52, Resulting Numbers: [4, 32, 52]
Generated Node #0,3: 20:[4, 32, 52] Operation: 57-5=52
Exploring Operation: 32-5=27, Resulting Numbers: [57, 4, 27]
Generated Node #0,4: 20:[57, 4, 27] Operation: 32-5=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[5, 4, 25], Operations: ['57-32=25']
Exploring Operation: 5*4=20, Resulting Numbers: [25, 20]
Generated Node #0,0,0: 20:[25, 20] Operation: 5*4=20
Exploring Operation: 25-5=20, Resulting Numbers: [4, 20]
Generated Node #0,0,1: 20:[4, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 20:[4, 5] Operation: 25/5=5
Exploring Operation: 5+4=9, Resulting Numbers: [25, 9]
Generated Node #0,0,3: 20:[25, 9] Operation: 5+4=9
Exploring Operation: 25-4=21, Resulting Numbers: [5, 21]
Generated Node #0,0,4: 20:[5, 21] Operation: 25-4=21
Moving to Node #0,0,1
Current State: 20:[4, 20], Operations: ['57-32=25', '25-5=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,20 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[4, 5], Operations: ['57-32=25', '25/5=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,20 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[57, 5, 4, 32], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [5, 4, 25]
Generated Node #0,0: 20:[5, 4, 25] Operation: 57-32=25
Moving to Node #0,0
Current State: 20:[5, 4, 25], Operations: ['57-32=25']
Exploring Operation: 25/5=5, Resulting Numbers: [4, 5]
Generated Node #0,0,2: 20:[4, 5] Operation: 25/5=5
Moving to Node #0,0,2
Current State: 20:[4, 5], Operations: ['57-32=25', '25/5=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
43,
19,
45,
69
] | 48 | [
"43-19=24",
"69-45=24",
"24+24=48"
] | Current State: 48:[43, 19, 45, 69], Operations: []
Exploring Operation: 43-19=24, Resulting Numbers: [45, 69, 24]
Generated Node #2: [45, 69, 24] from Operation: 43-19=24
Current State: 48:[45, 69, 24], Operations: ['43-19=24']
Exploring Operation: 69-45=24, Resulting Numbers: [24, 24]
Generated Node #3: [24, 24] from Operation: 69-45=24
Current State: 48:[24, 24], Operations: ['43-19=24', '69-45=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[43, 19, 45, 69], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [43, 19, 24]
Generated Node #0,0: 48:[43, 19, 24] Operation: 69-45=24
Exploring Operation: 69-43=26, Resulting Numbers: [19, 45, 26]
Generated Node #0,1: 48:[19, 45, 26] Operation: 69-43=26
Moving to Node #0,0
Current State: 48:[43, 19, 24], Operations: ['69-45=24']
Exploring Operation: 43-19=24, Resulting Numbers: [24, 24]
Generated Node #0,0,0: 48:[24, 24] Operation: 43-19=24
Exploring Operation: 43-24=19, Resulting Numbers: [19, 19]
Generated Node #0,0,1: 48:[19, 19] Operation: 43-24=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[24, 24], Operations: ['69-45=24', '43-19=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[43, 19, 45, 69], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [43, 19, 24]
Generated Node #0,0: 48:[43, 19, 24] Operation: 69-45=24
Moving to Node #0,0
Current State: 48:[43, 19, 24], Operations: ['69-45=24']
Exploring Operation: 43-19=24, Resulting Numbers: [24, 24]
Generated Node #0,0,0: 48:[24, 24] Operation: 43-19=24
Moving to Node #0,0,0
Current State: 48:[24, 24], Operations: ['69-45=24', '43-19=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
32,
64,
22,
2
] | 48 | [
"64/32=2",
"22+2=24",
"2*24=48"
] | Current State: 48:[32, 64, 22, 2], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [22, 2, 2]
Generated Node #2: [22, 2, 2] from Operation: 64/32=2
Current State: 48:[22, 2, 2], Operations: ['64/32=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,48 equal: Goal Reached
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[32, 64, 22, 2], Operations: []
Exploring Operation: 64-32=32, Resulting Numbers: [22, 2, 32]
Generated Node #0,0: 48:[22, 2, 32] Operation: 64-32=32
Exploring Operation: 32-22=10, Resulting Numbers: [64, 2, 10]
Generated Node #0,1: 48:[64, 2, 10] Operation: 32-22=10
Exploring Operation: 64-22=42, Resulting Numbers: [32, 2, 42]
Generated Node #0,2: 48:[32, 2, 42] Operation: 64-22=42
Exploring Operation: 64/32=2, Resulting Numbers: [22, 2, 2]
Generated Node #0,3: 48:[22, 2, 2] Operation: 64/32=2
Exploring Operation: 32/2=16, Resulting Numbers: [64, 22, 16]
Generated Node #0,4: 48:[64, 22, 16] Operation: 32/2=16
Moving to Node #0,3
Current State: 48:[22, 2, 2], Operations: ['64/32=2']
Exploring Operation: 22+2=24, Resulting Numbers: [2, 24]
Generated Node #0,3,0: 48:[2, 24] Operation: 22+2=24
Exploring Operation: 2+2=4, Resulting Numbers: [22, 4]
Generated Node #0,3,1: 48:[22, 4] Operation: 2+2=4
Exploring Operation: 22+2=24, Resulting Numbers: [2, 24]
Generated Node #0,3,2: 48:[2, 24] Operation: 22+2=24
Exploring Operation: 22/2=11, Resulting Numbers: [2, 11]
Generated Node #0,3,3: 48:[2, 11] Operation: 22/2=11
Exploring Operation: 22/2=11, Resulting Numbers: [2, 11]
Generated Node #0,3,4: 48:[2, 11] Operation: 22/2=11
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[2, 24], Operations: ['64/32=2', '22+2=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[32, 64, 22, 2], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [22, 2, 2]
Generated Node #0,3: 48:[22, 2, 2] Operation: 64/32=2
Moving to Node #0,3
Current State: 48:[22, 2, 2], Operations: ['64/32=2']
Exploring Operation: 22+2=24, Resulting Numbers: [2, 24]
Generated Node #0,3,0: 48:[2, 24] Operation: 22+2=24
Moving to Node #0,3,0
Current State: 48:[2, 24], Operations: ['64/32=2', '22+2=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.