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 |
|---|---|---|---|---|---|---|---|---|
[
37,
41,
74,
4
] | 16
|
[
"37+41=78",
"78-74=4",
"4*4=16"
] |
Current State: 16:[37, 41, 74, 4], Operations: []
Exploring Operation: 37+41=78, Resulting Numbers: [74, 4, 78]
Generated Node #2: [74, 4, 78] from Operation: 37+41=78
Current State: 16:[74, 4, 78], Operations: ['37+41=78']
Exploring Operation: 78-74=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 78-74=4
Current State: 16:[4, 4], Operations: ['37+41=78', '78-74=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[37, 41, 74, 4], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [41, 4, 2]
Generated Node #0,0: 16:[41, 4, 2] Operation: 74/37=2
Exploring Operation: 74-41=33, Resulting Numbers: [37, 4, 33]
Generated Node #0,1: 16:[37, 4, 33] Operation: 74-41=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[41, 4, 2], Operations: ['74/37=2']
Exploring Operation: 41-2=39, Resulting Numbers: [4, 39]
Generated Node #0,0,0: 16:[4, 39] Operation: 41-2=39
Exploring Operation: 41-4=37, Resulting Numbers: [2, 37]
Generated Node #0,0,1: 16:[2, 37] Operation: 41-4=37
Moving to Node #0,0,1
Current State: 16:[2, 37], Operations: ['74/37=2', '41-4=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[4, 39], Operations: ['74/37=2', '41-2=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,16 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 #0,1
Current State: 16:[37, 4, 33], Operations: ['74-41=33']
Exploring Operation: 37-33=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 16:[4, 4] Operation: 37-33=4
Exploring Operation: 37-4=33, Resulting Numbers: [33, 33]
Generated Node #0,1,1: 16:[33, 33] Operation: 37-4=33
Moving to Node #0,1,0
Current State: 16:[4, 4], Operations: ['74-41=33', '37-33=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[37, 41, 74, 4], Operations: []
Exploring Operation: 74-41=33, Resulting Numbers: [37, 4, 33]
Generated Node #0,1: 16:[37, 4, 33] Operation: 74-41=33
Moving to Node #0,1
Current State: 16:[37, 4, 33], Operations: ['74-41=33']
Exploring Operation: 37-33=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 16:[4, 4] Operation: 37-33=4
Moving to Node #0,1,0
Current State: 16:[4, 4], Operations: ['74-41=33', '37-33=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_2
|
sum_heuristic
|
[
91,
98,
49,
7
] | 50
|
[
"98-91=7",
"7/7=1",
"49+1=50"
] |
Current State: 50:[91, 98, 49, 7], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [49, 7, 7]
Generated Node #2: [49, 7, 7] from Operation: 98-91=7
Current State: 50:[49, 7, 7], Operations: ['98-91=7']
Exploring Operation: 7/7=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 7/7=1
Current State: 50:[49, 1], Operations: ['98-91=7', '7/7=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[91, 98, 49, 7], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [91, 7, 2]
Generated Node #0,0: 50:[91, 7, 2] Operation: 98/49=2
Exploring Operation: 98/7=14, Resulting Numbers: [91, 49, 14]
Generated Node #0,1: 50:[91, 49, 14] Operation: 98/7=14
Exploring Operation: 98-49=49, Resulting Numbers: [91, 7, 49]
Generated Node #0,2: 50:[91, 7, 49] Operation: 98-49=49
Exploring Operation: 98-91=7, Resulting Numbers: [49, 7, 7]
Generated Node #0,3: 50:[49, 7, 7] Operation: 98-91=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 50:[49, 7, 7], Operations: ['98-91=7']
Exploring Operation: 7-7=0, Resulting Numbers: [49, 0]
Generated Node #0,3,0: 50:[49, 0] Operation: 7-7=0
Exploring Operation: 7/7=1, Resulting Numbers: [49, 1]
Generated Node #0,3,1: 50:[49, 1] Operation: 7/7=1
Exploring Operation: 7*7=49, Resulting Numbers: [49, 49]
Generated Node #0,3,2: 50:[49, 49] Operation: 7*7=49
Exploring Operation: 49/7=7, Resulting Numbers: [7, 7]
Generated Node #0,3,3: 50:[7, 7] Operation: 49/7=7
Moving to Node #0,3,1
Current State: 50:[49, 1], Operations: ['98-91=7', '7/7=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[91, 98, 49, 7], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [49, 7, 7]
Generated Node #0,3: 50:[49, 7, 7] Operation: 98-91=7
Moving to Node #0,3
Current State: 50:[49, 7, 7], Operations: ['98-91=7']
Exploring Operation: 7/7=1, Resulting Numbers: [49, 1]
Generated Node #0,3,1: 50:[49, 1] Operation: 7/7=1
Moving to Node #0,3,1
Current State: 50:[49, 1], Operations: ['98-91=7', '7/7=1']
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
sum_heuristic
|
[
88,
86,
78,
15
] | 95
|
[
"88-86=2",
"78+15=93",
"2+93=95"
] |
Current State: 95:[88, 86, 78, 15], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [78, 15, 2]
Generated Node #2: [78, 15, 2] from Operation: 88-86=2
Current State: 95:[78, 15, 2], Operations: ['88-86=2']
Exploring Operation: 78+15=93, Resulting Numbers: [2, 93]
Generated Node #3: [2, 93] from Operation: 78+15=93
Current State: 95:[2, 93], Operations: ['88-86=2', '78+15=93']
Exploring Operation: 2+93=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[88, 86, 78, 15], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [86, 15, 10]
Generated Node #0,0: 95:[86, 15, 10] Operation: 88-78=10
Exploring Operation: 86-78=8, Resulting Numbers: [88, 15, 8]
Generated Node #0,1: 95:[88, 15, 8] Operation: 86-78=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[88, 15, 8], Operations: ['86-78=8']
Exploring Operation: 15-8=7, Resulting Numbers: [88, 7]
Generated Node #0,1,0: 95:[88, 7] Operation: 15-8=7
Exploring Operation: 88+8=96, Resulting Numbers: [15, 96]
Generated Node #0,1,1: 95:[15, 96] Operation: 88+8=96
Moving to Node #0,1,1
Current State: 95:[15, 96], Operations: ['86-78=8', '88+8=96']
Exploring Operation: 15+96=111, Resulting Numbers: [111]
111,95 unequal: No Solution
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[88, 7], Operations: ['86-78=8', '15-8=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[88, 86, 78, 15], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [88, 15, 8]
Generated Node #0,1: 95:[88, 15, 8] Operation: 86-78=8
Moving to Node #0,1
Current State: 95:[88, 15, 8], Operations: ['86-78=8']
Exploring Operation: 15-8=7, Resulting Numbers: [88, 7]
Generated Node #0,1,0: 95:[88, 7] Operation: 15-8=7
Moving to Node #0,1,0
Current State: 95:[88, 7], Operations: ['86-78=8', '15-8=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
sum_heuristic
|
[
10,
6,
4,
55
] | 75
|
[
"10+6=16",
"4+55=59",
"16+59=75"
] |
Current State: 75:[10, 6, 4, 55], Operations: []
Exploring Operation: 10+6=16, Resulting Numbers: [4, 55, 16]
Generated Node #2: [4, 55, 16] from Operation: 10+6=16
Current State: 75:[4, 55, 16], Operations: ['10+6=16']
Exploring Operation: 4+55=59, Resulting Numbers: [16, 59]
Generated Node #3: [16, 59] from Operation: 4+55=59
Current State: 75:[16, 59], Operations: ['10+6=16', '4+55=59']
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[10, 6, 4, 55], Operations: []
Exploring Operation: 6+55=61, Resulting Numbers: [10, 4, 61]
Generated Node #0,0: 75:[10, 4, 61] Operation: 6+55=61
Exploring Operation: 10+55=65, Resulting Numbers: [6, 4, 65]
Generated Node #0,1: 75:[6, 4, 65] Operation: 10+55=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[6, 4, 65], Operations: ['10+55=65']
Exploring Operation: 4+65=69, Resulting Numbers: [6, 69]
Generated Node #0,1,0: 75:[6, 69] Operation: 4+65=69
Exploring Operation: 6+65=71, Resulting Numbers: [4, 71]
Generated Node #0,1,1: 75:[4, 71] Operation: 6+65=71
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[4, 71], Operations: ['10+55=65', '6+65=71']
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[10, 6, 4, 55], Operations: []
Exploring Operation: 10+55=65, Resulting Numbers: [6, 4, 65]
Generated Node #0,1: 75:[6, 4, 65] Operation: 10+55=65
Moving to Node #0,1
Current State: 75:[6, 4, 65], Operations: ['10+55=65']
Exploring Operation: 6+65=71, Resulting Numbers: [4, 71]
Generated Node #0,1,1: 75:[4, 71] Operation: 6+65=71
Moving to Node #0,1,1
Current State: 75:[4, 71], Operations: ['10+55=65', '6+65=71']
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
sum_heuristic
|
[
80,
55,
61,
57
] | 21
|
[
"80-55=25",
"61-57=4",
"25-4=21"
] |
Current State: 21:[80, 55, 61, 57], Operations: []
Exploring Operation: 80-55=25, Resulting Numbers: [61, 57, 25]
Generated Node #2: [61, 57, 25] from Operation: 80-55=25
Current State: 21:[61, 57, 25], Operations: ['80-55=25']
Exploring Operation: 61-57=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 61-57=4
Current State: 21:[25, 4], Operations: ['80-55=25', '61-57=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
Current State: 21:[80, 55, 61, 57], Operations: []
Exploring Operation: 80-55=25, Resulting Numbers: [61, 57, 25]
Generated Node #0,0: 21:[61, 57, 25] Operation: 80-55=25
Exploring Operation: 80-61=19, Resulting Numbers: [55, 57, 19]
Generated Node #0,1: 21:[55, 57, 19] Operation: 80-61=19
Exploring Operation: 80-57=23, Resulting Numbers: [55, 61, 23]
Generated Node #0,2: 21:[55, 61, 23] Operation: 80-57=23
Exploring Operation: 61-55=6, Resulting Numbers: [80, 57, 6]
Generated Node #0,3: 21:[80, 57, 6] Operation: 61-55=6
Exploring Operation: 61-57=4, Resulting Numbers: [80, 55, 4]
Generated Node #0,4: 21:[80, 55, 4] Operation: 61-57=4
Moving to Node #0,1
Current State: 21:[55, 57, 19], Operations: ['80-61=19']
Exploring Operation: 57/19=3, Resulting Numbers: [55, 3]
Generated Node #0,1,0: 21:[55, 3] Operation: 57/19=3
Exploring Operation: 55-19=36, Resulting Numbers: [57, 36]
Generated Node #0,1,1: 21:[57, 36] Operation: 55-19=36
Exploring Operation: 55+19=74, Resulting Numbers: [57, 74]
Generated Node #0,1,2: 21:[57, 74] Operation: 55+19=74
Exploring Operation: 57-55=2, Resulting Numbers: [19, 2]
Generated Node #0,1,3: 21:[19, 2] Operation: 57-55=2
Exploring Operation: 57-19=38, Resulting Numbers: [55, 38]
Generated Node #0,1,4: 21:[55, 38] Operation: 57-19=38
Moving to Node #0,2
Current State: 21:[55, 61, 23], Operations: ['80-57=23']
Exploring Operation: 55+23=78, Resulting Numbers: [61, 78]
Generated Node #0,2,0: 21:[61, 78] Operation: 55+23=78
Exploring Operation: 55-23=32, Resulting Numbers: [61, 32]
Generated Node #0,2,1: 21:[61, 32] Operation: 55-23=32
Exploring Operation: 61-23=38, Resulting Numbers: [55, 38]
Generated Node #0,2,2: 21:[55, 38] Operation: 61-23=38
Exploring Operation: 55+61=116, Resulting Numbers: [23, 116]
Generated Node #0,2,3: 21:[23, 116] Operation: 55+61=116
Exploring Operation: 61-55=6, Resulting Numbers: [23, 6]
Generated Node #0,2,4: 21:[23, 6] Operation: 61-55=6
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 21:[23, 6], Operations: ['80-57=23', '61-55=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[61, 32], Operations: ['80-57=23', '55-23=32']
Exploring Operation: 61*32=1952, Resulting Numbers: [1952]
1952,21 unequal: No Solution
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 61+32=93, Resulting Numbers: [93]
93,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[55, 38], Operations: ['80-57=23', '61-23=38']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 55*38=2090, Resulting Numbers: [2090]
2090,21 unequal: No Solution
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[61, 78], Operations: ['80-57=23', '55+23=78']
Exploring Operation: 61+78=139, Resulting Numbers: [139]
139,21 unequal: No Solution
Exploring Operation: 61*78=4758, Resulting Numbers: [4758]
4758,21 unequal: No Solution
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[23, 116], Operations: ['80-57=23', '55+61=116']
Exploring Operation: 23+116=139, Resulting Numbers: [139]
139,21 unequal: No Solution
Exploring Operation: 23*116=2668, Resulting Numbers: [2668]
2668,21 unequal: No Solution
Exploring Operation: 116-23=93, Resulting Numbers: [93]
93,21 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: 21:[61, 57, 25], Operations: ['80-55=25']
Exploring Operation: 57-25=32, Resulting Numbers: [61, 32]
Generated Node #0,0,0: 21:[61, 32] Operation: 57-25=32
Exploring Operation: 61-25=36, Resulting Numbers: [57, 36]
Generated Node #0,0,1: 21:[57, 36] Operation: 61-25=36
Exploring Operation: 61-57=4, Resulting Numbers: [25, 4]
Generated Node #0,0,2: 21:[25, 4] Operation: 61-57=4
Exploring Operation: 61+25=86, Resulting Numbers: [57, 86]
Generated Node #0,0,3: 21:[57, 86] Operation: 61+25=86
Exploring Operation: 61+57=118, Resulting Numbers: [25, 118]
Generated Node #0,0,4: 21:[25, 118] Operation: 61+57=118
Moving to Node #0,4
Current State: 21:[80, 55, 4], Operations: ['61-57=4']
Exploring Operation: 80+4=84, Resulting Numbers: [55, 84]
Generated Node #0,4,0: 21:[55, 84] Operation: 80+4=84
Exploring Operation: 80-4=76, Resulting Numbers: [55, 76]
Generated Node #0,4,1: 21:[55, 76] Operation: 80-4=76
Exploring Operation: 55-4=51, Resulting Numbers: [80, 51]
Generated Node #0,4,2: 21:[80, 51] Operation: 55-4=51
Exploring Operation: 80/4=20, Resulting Numbers: [55, 20]
Generated Node #0,4,3: 21:[55, 20] Operation: 80/4=20
Exploring Operation: 80-55=25, Resulting Numbers: [4, 25]
Generated Node #0,4,4: 21:[4, 25] Operation: 80-55=25
Moving to Node #0,3
Current State: 21:[80, 57, 6], Operations: ['61-55=6']
Exploring Operation: 57+6=63, Resulting Numbers: [80, 63]
Generated Node #0,3,0: 21:[80, 63] Operation: 57+6=63
Exploring Operation: 80-6=74, Resulting Numbers: [57, 74]
Generated Node #0,3,1: 21:[57, 74] Operation: 80-6=74
Exploring Operation: 80-57=23, Resulting Numbers: [6, 23]
Generated Node #0,3,2: 21:[6, 23] Operation: 80-57=23
Exploring Operation: 80+6=86, Resulting Numbers: [57, 86]
Generated Node #0,3,3: 21:[57, 86] Operation: 80+6=86
Exploring Operation: 57-6=51, Resulting Numbers: [80, 51]
Generated Node #0,3,4: 21:[80, 51] Operation: 57-6=51
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 21:[6, 23], Operations: ['61-55=6', '80-57=23']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 6*23=138, Resulting Numbers: [138]
138,21 unequal: No Solution
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 21:[57, 74], Operations: ['61-55=6', '80-6=74']
Exploring Operation: 57+74=131, Resulting Numbers: [131]
131,21 unequal: No Solution
Exploring Operation: 74-57=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 57*74=4218, Resulting Numbers: [4218]
4218,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 21:[80, 51], Operations: ['61-55=6', '57-6=51']
Exploring Operation: 80+51=131, Resulting Numbers: [131]
131,21 unequal: No Solution
Exploring Operation: 80-51=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 80*51=4080, Resulting Numbers: [4080]
4080,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 21:[80, 63], Operations: ['61-55=6', '57+6=63']
Exploring Operation: 80+63=143, Resulting Numbers: [143]
143,21 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 80*63=5040, Resulting Numbers: [5040]
5040,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 21:[57, 86], Operations: ['61-55=6', '80+6=86']
Exploring Operation: 86-57=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 57+86=143, Resulting Numbers: [143]
143,21 unequal: No Solution
Exploring Operation: 57*86=4902, Resulting Numbers: [4902]
4902,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 21:[19, 2], Operations: ['80-61=19', '57-55=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,21 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[80, 55, 61, 57], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [55, 57, 19]
Generated Node #0,1: 21:[55, 57, 19] Operation: 80-61=19
Moving to Node #0,1
Current State: 21:[55, 57, 19], Operations: ['80-61=19']
Exploring Operation: 57-55=2, Resulting Numbers: [19, 2]
Generated Node #0,1,3: 21:[19, 2] Operation: 57-55=2
Moving to Node #0,1,3
Current State: 21:[19, 2], Operations: ['80-61=19', '57-55=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.94184
|
hs_5
|
sum_heuristic
|
[
84,
58,
87,
26
] | 96
|
[
"87-84=3",
"58-26=32",
"3*32=96"
] |
Current State: 96:[84, 58, 87, 26], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [58, 26, 3]
Generated Node #2: [58, 26, 3] from Operation: 87-84=3
Current State: 96:[58, 26, 3], Operations: ['87-84=3']
Exploring Operation: 58-26=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 58-26=32
Current State: 96:[3, 32], Operations: ['87-84=3', '58-26=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[84, 58, 87, 26], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [87, 26, 26]
Generated Node #0,0: 96:[87, 26, 26] Operation: 84-58=26
Exploring Operation: 87-84=3, Resulting Numbers: [58, 26, 3]
Generated Node #0,1: 96:[58, 26, 3] Operation: 87-84=3
Moving to Node #0,1
Current State: 96:[58, 26, 3], Operations: ['87-84=3']
Exploring Operation: 58-3=55, Resulting Numbers: [26, 55]
Generated Node #0,1,0: 96:[26, 55] Operation: 58-3=55
Exploring Operation: 58-26=32, Resulting Numbers: [3, 32]
Generated Node #0,1,1: 96:[3, 32] Operation: 58-26=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[3, 32], Operations: ['87-84=3', '58-26=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[84, 58, 87, 26], Operations: []
Exploring Operation: 87-84=3, Resulting Numbers: [58, 26, 3]
Generated Node #0,1: 96:[58, 26, 3] Operation: 87-84=3
Moving to Node #0,1
Current State: 96:[58, 26, 3], Operations: ['87-84=3']
Exploring Operation: 58-26=32, Resulting Numbers: [3, 32]
Generated Node #0,1,1: 96:[3, 32] Operation: 58-26=32
Moving to Node #0,1,1
Current State: 96:[3, 32], Operations: ['87-84=3', '58-26=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
13,
93,
84,
95
] | 50
|
[
"95-84=11",
"13*11=143",
"143-93=50"
] |
Current State: 50:[13, 93, 84, 95], Operations: []
Exploring Operation: 95-84=11, Resulting Numbers: [13, 93, 11]
Generated Node #2: [13, 93, 11] from Operation: 95-84=11
Current State: 50:[13, 93, 11], Operations: ['95-84=11']
Exploring Operation: 13*11=143, Resulting Numbers: [93, 143]
Generated Node #3: [93, 143] from Operation: 13*11=143
Current State: 50:[93, 143], Operations: ['95-84=11', '13*11=143']
Exploring Operation: 143-93=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[13, 93, 84, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [13, 84, 2]
Generated Node #0,0: 50:[13, 84, 2] Operation: 95-93=2
Exploring Operation: 93-84=9, Resulting Numbers: [13, 95, 9]
Generated Node #0,1: 50:[13, 95, 9] Operation: 93-84=9
Exploring Operation: 84-13=71, Resulting Numbers: [93, 95, 71]
Generated Node #0,2: 50:[93, 95, 71] Operation: 84-13=71
Exploring Operation: 93-13=80, Resulting Numbers: [84, 95, 80]
Generated Node #0,3: 50:[84, 95, 80] Operation: 93-13=80
Exploring Operation: 95-84=11, Resulting Numbers: [13, 93, 11]
Generated Node #0,4: 50:[13, 93, 11] Operation: 95-84=11
Moving to Node #0,0
Current State: 50:[13, 84, 2], Operations: ['95-93=2']
Exploring Operation: 84-2=82, Resulting Numbers: [13, 82]
Generated Node #0,0,0: 50:[13, 82] Operation: 84-2=82
Exploring Operation: 13*2=26, Resulting Numbers: [84, 26]
Generated Node #0,0,1: 50:[84, 26] Operation: 13*2=26
Exploring Operation: 84-13=71, Resulting Numbers: [2, 71]
Generated Node #0,0,2: 50:[2, 71] Operation: 84-13=71
Exploring Operation: 13-2=11, Resulting Numbers: [84, 11]
Generated Node #0,0,3: 50:[84, 11] Operation: 13-2=11
Exploring Operation: 84/2=42, Resulting Numbers: [13, 42]
Generated Node #0,0,4: 50:[13, 42] Operation: 84/2=42
Moving to Node #0,4
Current State: 50:[13, 93, 11], Operations: ['95-84=11']
Exploring Operation: 93-13=80, Resulting Numbers: [11, 80]
Generated Node #0,4,0: 50:[11, 80] Operation: 93-13=80
Exploring Operation: 13+93=106, Resulting Numbers: [11, 106]
Generated Node #0,4,1: 50:[11, 106] Operation: 13+93=106
Exploring Operation: 13-11=2, Resulting Numbers: [93, 2]
Generated Node #0,4,2: 50:[93, 2] Operation: 13-11=2
Exploring Operation: 13+11=24, Resulting Numbers: [93, 24]
Generated Node #0,4,3: 50:[93, 24] Operation: 13+11=24
Exploring Operation: 93-11=82, Resulting Numbers: [13, 82]
Generated Node #0,4,4: 50:[13, 82] Operation: 93-11=82
Moving to Node #0,1
Current State: 50:[13, 95, 9], Operations: ['93-84=9']
Exploring Operation: 95-9=86, Resulting Numbers: [13, 86]
Generated Node #0,1,0: 50:[13, 86] Operation: 95-9=86
Exploring Operation: 95-13=82, Resulting Numbers: [9, 82]
Generated Node #0,1,1: 50:[9, 82] Operation: 95-13=82
Exploring Operation: 13-9=4, Resulting Numbers: [95, 4]
Generated Node #0,1,2: 50:[95, 4] Operation: 13-9=4
Exploring Operation: 13+9=22, Resulting Numbers: [95, 22]
Generated Node #0,1,3: 50:[95, 22] Operation: 13+9=22
Exploring Operation: 95+9=104, Resulting Numbers: [13, 104]
Generated Node #0,1,4: 50:[13, 104] Operation: 95+9=104
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[9, 82], Operations: ['93-84=9', '95-13=82']
Exploring Operation: 9*82=738, Resulting Numbers: [738]
738,50 unequal: No Solution
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,50 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 #0,1,0
Current State: 50:[13, 86], Operations: ['93-84=9', '95-9=86']
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Exploring Operation: 13*86=1118, Resulting Numbers: [1118]
1118,50 unequal: No Solution
Exploring Operation: 13+86=99, Resulting Numbers: [99]
99,50 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 #0,1,2
Current State: 50:[95, 4], Operations: ['93-84=9', '13-9=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 95*4=380, Resulting Numbers: [380]
380,50 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 #0,1,3
Current State: 50:[95, 22], Operations: ['93-84=9', '13+9=22']
Exploring Operation: 95+22=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Exploring Operation: 95*22=2090, Resulting Numbers: [2090]
2090,50 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 #0,1,4
Current State: 50:[13, 104], Operations: ['93-84=9', '95+9=104']
Exploring Operation: 13*104=1352, Resulting Numbers: [1352]
1352,50 unequal: No Solution
Exploring Operation: 104-13=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Exploring Operation: 104/13=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Exploring Operation: 13+104=117, Resulting Numbers: [117]
117,50 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: 50:[93, 95, 71], Operations: ['84-13=71']
Exploring Operation: 93-71=22, Resulting Numbers: [95, 22]
Generated Node #0,2,0: 50:[95, 22] Operation: 93-71=22
Exploring Operation: 95-93=2, Resulting Numbers: [71, 2]
Generated Node #0,2,1: 50:[71, 2] Operation: 95-93=2
Exploring Operation: 93+71=164, Resulting Numbers: [95, 164]
Generated Node #0,2,2: 50:[95, 164] Operation: 93+71=164
Exploring Operation: 93+95=188, Resulting Numbers: [71, 188]
Generated Node #0,2,3: 50:[71, 188] Operation: 93+95=188
Exploring Operation: 95-71=24, Resulting Numbers: [93, 24]
Generated Node #0,2,4: 50:[93, 24] Operation: 95-71=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[71, 2], Operations: ['84-13=71', '95-93=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 71*2=142, Resulting Numbers: [142]
142,50 unequal: No Solution
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,50 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 #0,2,4
Current State: 50:[93, 24], Operations: ['84-13=71', '95-71=24']
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,50 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 #0,2,0
Current State: 50:[95, 22], Operations: ['84-13=71', '93-71=22']
Exploring Operation: 95*22=2090, Resulting Numbers: [2090]
2090,50 unequal: No Solution
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Exploring Operation: 95+22=117, Resulting Numbers: [117]
117,50 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 #0,2,2
Current State: 50:[95, 164], Operations: ['84-13=71', '93+71=164']
Exploring Operation: 95*164=15580, Resulting Numbers: [15580]
15580,50 unequal: No Solution
Exploring Operation: 164-95=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 95+164=259, Resulting Numbers: [259]
259,50 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 #0,2,3
Current State: 50:[71, 188], Operations: ['84-13=71', '93+95=188']
Exploring Operation: 71+188=259, Resulting Numbers: [259]
259,50 unequal: No Solution
Exploring Operation: 188-71=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 71*188=13348, Resulting Numbers: [13348]
13348,50 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: 50:[84, 95, 80], Operations: ['93-13=80']
Exploring Operation: 84+95=179, Resulting Numbers: [80, 179]
Generated Node #0,3,0: 50:[80, 179] Operation: 84+95=179
Exploring Operation: 95-80=15, Resulting Numbers: [84, 15]
Generated Node #0,3,1: 50:[84, 15] Operation: 95-80=15
Exploring Operation: 84-80=4, Resulting Numbers: [95, 4]
Generated Node #0,3,2: 50:[95, 4] Operation: 84-80=4
Exploring Operation: 84+80=164, Resulting Numbers: [95, 164]
Generated Node #0,3,3: 50:[95, 164] Operation: 84+80=164
Exploring Operation: 95-84=11, Resulting Numbers: [80, 11]
Generated Node #0,3,4: 50:[80, 11] Operation: 95-84=11
Moving to Node #0,0,4
Current State: 50:[13, 42], Operations: ['95-93=2', '84/2=42']
Exploring Operation: 13*42=546, Resulting Numbers: [546]
546,50 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Exploring Operation: 13+42=55, Resulting Numbers: [55]
55,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[2, 71], Operations: ['95-93=2', '84-13=71']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 2*71=142, Resulting Numbers: [142]
142,50 unequal: No Solution
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Moving to Node #0,4,0
Current State: 50:[11, 80], Operations: ['95-84=11', '93-13=80']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 11*80=880, Resulting Numbers: [880]
880,50 unequal: No Solution
Exploring Operation: 11+80=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Moving to Node #0,3,4
Current State: 50:[80, 11], Operations: ['93-13=80', '95-84=11']
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,50 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Moving to Node #0,4,4
Current State: 50:[13, 82], Operations: ['95-84=11', '93-11=82']
Exploring Operation: 13*82=1066, Resulting Numbers: [1066]
1066,50 unequal: No Solution
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 13+82=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[13, 82], Operations: ['95-93=2', '84-2=82']
Exploring Operation: 13*82=1066, Resulting Numbers: [1066]
1066,50 unequal: No Solution
Exploring Operation: 82-13=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 13+82=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[84, 11], Operations: ['95-93=2', '13-2=11']
Exploring Operation: 84-11=73, Resulting Numbers: [73]
73,50 unequal: No Solution
Exploring Operation: 84*11=924, Resulting Numbers: [924]
924,50 unequal: No Solution
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[84, 26], Operations: ['95-93=2', '13*2=26']
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,50 unequal: No Solution
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,50 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,50 unequal: No Solution
Moving to Node #0,3,1
Current State: 50:[84, 15], Operations: ['93-13=80', '95-80=15']
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,50 unequal: No Solution
Moving to Node #0,4,2
Current State: 50:[93, 2], Operations: ['95-84=11', '13-11=2']
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,50 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Moving to Node #0,4,3
Current State: 50:[93, 24], Operations: ['95-84=11', '13+11=24']
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,50 unequal: No Solution
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[95, 4], Operations: ['93-13=80', '84-80=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,50 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 95*4=380, Resulting Numbers: [380]
380,50 unequal: No Solution
Moving to Node #0,4,1
Current State: 50:[11, 106], Operations: ['95-84=11', '13+93=106']
Exploring Operation: 11*106=1166, Resulting Numbers: [1166]
1166,50 unequal: No Solution
Exploring Operation: 11+106=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 106-11=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[80, 179], Operations: ['93-13=80', '84+95=179']
Exploring Operation: 80*179=14320, Resulting Numbers: [14320]
14320,50 unequal: No Solution
Exploring Operation: 80+179=259, Resulting Numbers: [259]
259,50 unequal: No Solution
Exploring Operation: 179-80=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[95, 164], Operations: ['93-13=80', '84+80=164']
Exploring Operation: 95*164=15580, Resulting Numbers: [15580]
15580,50 unequal: No Solution
Exploring Operation: 95+164=259, Resulting Numbers: [259]
259,50 unequal: No Solution
Exploring Operation: 164-95=69, Resulting Numbers: [69]
69,50 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
64,
66,
83,
18
] | 64
|
[
"83-66=17",
"18-17=1",
"64*1=64"
] |
Current State: 64:[64, 66, 83, 18], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [64, 18, 17]
Generated Node #2: [64, 18, 17] from Operation: 83-66=17
Current State: 64:[64, 18, 17], Operations: ['83-66=17']
Exploring Operation: 18-17=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 18-17=1
Current State: 64:[64, 1], Operations: ['83-66=17', '18-17=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[64, 66, 83, 18], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [66, 18, 19]
Generated Node #0,0: 64:[66, 18, 19] Operation: 83-64=19
Exploring Operation: 83-66=17, Resulting Numbers: [64, 18, 17]
Generated Node #0,1: 64:[64, 18, 17] Operation: 83-66=17
Exploring Operation: 66-64=2, Resulting Numbers: [83, 18, 2]
Generated Node #0,2: 64:[83, 18, 2] Operation: 66-64=2
Exploring Operation: 64-18=46, Resulting Numbers: [66, 83, 46]
Generated Node #0,3: 64:[66, 83, 46] Operation: 64-18=46
Exploring Operation: 83-18=65, Resulting Numbers: [64, 66, 65]
Generated Node #0,4: 64:[64, 66, 65] Operation: 83-18=65
Moving to Node #0,1
Current State: 64:[64, 18, 17], Operations: ['83-66=17']
Exploring Operation: 18+17=35, Resulting Numbers: [64, 35]
Generated Node #0,1,0: 64:[64, 35] Operation: 18+17=35
Exploring Operation: 18-17=1, Resulting Numbers: [64, 1]
Generated Node #0,1,1: 64:[64, 1] Operation: 18-17=1
Exploring Operation: 64+18=82, Resulting Numbers: [17, 82]
Generated Node #0,1,2: 64:[17, 82] Operation: 64+18=82
Exploring Operation: 64-17=47, Resulting Numbers: [18, 47]
Generated Node #0,1,3: 64:[18, 47] Operation: 64-17=47
Exploring Operation: 64-18=46, Resulting Numbers: [17, 46]
Generated Node #0,1,4: 64:[17, 46] Operation: 64-18=46
Moving to Node #0,4
Current State: 64:[64, 66, 65], Operations: ['83-18=65']
Exploring Operation: 66-64=2, Resulting Numbers: [65, 2]
Generated Node #0,4,0: 64:[65, 2] Operation: 66-64=2
Exploring Operation: 64+65=129, Resulting Numbers: [66, 129]
Generated Node #0,4,1: 64:[66, 129] Operation: 64+65=129
Exploring Operation: 66-65=1, Resulting Numbers: [64, 1]
Generated Node #0,4,2: 64:[64, 1] Operation: 66-65=1
Exploring Operation: 65-64=1, Resulting Numbers: [66, 1]
Generated Node #0,4,3: 64:[66, 1] Operation: 65-64=1
Exploring Operation: 64+66=130, Resulting Numbers: [65, 130]
Generated Node #0,4,4: 64:[65, 130] Operation: 64+66=130
Moving to Node #0,0
Current State: 64:[66, 18, 19], Operations: ['83-64=19']
Exploring Operation: 66+18=84, Resulting Numbers: [19, 84]
Generated Node #0,0,0: 64:[19, 84] Operation: 66+18=84
Exploring Operation: 66-19=47, Resulting Numbers: [18, 47]
Generated Node #0,0,1: 64:[18, 47] Operation: 66-19=47
Exploring Operation: 19-18=1, Resulting Numbers: [66, 1]
Generated Node #0,0,2: 64:[66, 1] Operation: 19-18=1
Exploring Operation: 66-18=48, Resulting Numbers: [19, 48]
Generated Node #0,0,3: 64:[19, 48] Operation: 66-18=48
Exploring Operation: 18+19=37, Resulting Numbers: [66, 37]
Generated Node #0,0,4: 64:[66, 37] Operation: 18+19=37
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[66, 1], Operations: ['83-64=19', '19-18=1']
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 66*1=66, Resulting Numbers: [66]
66,64 unequal: No Solution
Exploring Operation: 66-1=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 66+1=67, Resulting Numbers: [67]
67,64 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 #0,0,4
Current State: 64:[66, 37], Operations: ['83-64=19', '18+19=37']
Exploring Operation: 66+37=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 66*37=2442, Resulting Numbers: [2442]
2442,64 unequal: No Solution
Exploring Operation: 66-37=29, Resulting Numbers: [29]
29,64 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:[18, 47], Operations: ['83-64=19', '66-19=47']
Exploring Operation: 18*47=846, Resulting Numbers: [846]
846,64 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,64 unequal: No Solution
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,64 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 #0,0,3
Current State: 64:[19, 48], Operations: ['83-64=19', '66-18=48']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,64 unequal: No Solution
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,64 unequal: No Solution
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,64 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:[19, 84], Operations: ['83-64=19', '66+18=84']
Exploring Operation: 19+84=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 19*84=1596, Resulting Numbers: [1596]
1596,64 unequal: No Solution
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,64 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:[83, 18, 2], Operations: ['66-64=2']
Exploring Operation: 83-2=81, Resulting Numbers: [18, 81]
Generated Node #0,2,0: 64:[18, 81] Operation: 83-2=81
Exploring Operation: 83+2=85, Resulting Numbers: [18, 85]
Generated Node #0,2,1: 64:[18, 85] Operation: 83+2=85
Exploring Operation: 83-18=65, Resulting Numbers: [2, 65]
Generated Node #0,2,2: 64:[2, 65] Operation: 83-18=65
Exploring Operation: 18-2=16, Resulting Numbers: [83, 16]
Generated Node #0,2,3: 64:[83, 16] Operation: 18-2=16
Exploring Operation: 18/2=9, Resulting Numbers: [83, 9]
Generated Node #0,2,4: 64:[83, 9] Operation: 18/2=9
Moving to Node #0,3
Current State: 64:[66, 83, 46], Operations: ['64-18=46']
Exploring Operation: 83-46=37, Resulting Numbers: [66, 37]
Generated Node #0,3,0: 64:[66, 37] Operation: 83-46=37
Exploring Operation: 66+46=112, Resulting Numbers: [83, 112]
Generated Node #0,3,1: 64:[83, 112] Operation: 66+46=112
Exploring Operation: 83-66=17, Resulting Numbers: [46, 17]
Generated Node #0,3,2: 64:[46, 17] Operation: 83-66=17
Exploring Operation: 83+46=129, Resulting Numbers: [66, 129]
Generated Node #0,3,3: 64:[66, 129] Operation: 83+46=129
Exploring Operation: 66-46=20, Resulting Numbers: [83, 20]
Generated Node #0,3,4: 64:[83, 20] Operation: 66-46=20
Moving to Node #0,1,1
Current State: 64:[64, 1], Operations: ['83-66=17', '18-17=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[64, 66, 83, 18], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [64, 18, 17]
Generated Node #0,1: 64:[64, 18, 17] Operation: 83-66=17
Moving to Node #0,1
Current State: 64:[64, 18, 17], Operations: ['83-66=17']
Exploring Operation: 18-17=1, Resulting Numbers: [64, 1]
Generated Node #0,1,1: 64:[64, 1] Operation: 18-17=1
Moving to Node #0,1,1
Current State: 64:[64, 1], Operations: ['83-66=17', '18-17=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.953993
|
hs_5
|
mult_heuristic
|
[
8,
41,
88,
24
] | 15
|
[
"8+41=49",
"88-24=64",
"64-49=15"
] |
Current State: 15:[8, 41, 88, 24], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [88, 24, 49]
Generated Node #2: [88, 24, 49] from Operation: 8+41=49
Current State: 15:[88, 24, 49], Operations: ['8+41=49']
Exploring Operation: 88-24=64, Resulting Numbers: [49, 64]
Generated Node #3: [49, 64] from Operation: 88-24=64
Current State: 15:[49, 64], Operations: ['8+41=49', '88-24=64']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[8, 41, 88, 24], Operations: []
Exploring Operation: 41-24=17, Resulting Numbers: [8, 88, 17]
Generated Node #0,0: 15:[8, 88, 17] Operation: 41-24=17
Exploring Operation: 88/8=11, Resulting Numbers: [41, 24, 11]
Generated Node #0,1: 15:[41, 24, 11] Operation: 88/8=11
Exploring Operation: 88-41=47, Resulting Numbers: [8, 24, 47]
Generated Node #0,2: 15:[8, 24, 47] Operation: 88-41=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[41, 24, 11], Operations: ['88/8=11']
Exploring Operation: 41-24=17, Resulting Numbers: [11, 17]
Generated Node #0,1,0: 15:[11, 17] Operation: 41-24=17
Exploring Operation: 41-11=30, Resulting Numbers: [24, 30]
Generated Node #0,1,1: 15:[24, 30] Operation: 41-11=30
Exploring Operation: 24-11=13, Resulting Numbers: [41, 13]
Generated Node #0,1,2: 15:[41, 13] Operation: 24-11=13
Moving to Node #0,1,0
Current State: 15:[11, 17], Operations: ['88/8=11', '41-24=17']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,15 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[24, 30], Operations: ['88/8=11', '41-11=30']
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,15 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[41, 13], Operations: ['88/8=11', '24-11=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,15 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[8, 24, 47], Operations: ['88-41=47']
Exploring Operation: 47-24=23, Resulting Numbers: [8, 23]
Generated Node #0,2,0: 15:[8, 23] Operation: 47-24=23
Exploring Operation: 24-8=16, Resulting Numbers: [47, 16]
Generated Node #0,2,1: 15:[47, 16] Operation: 24-8=16
Exploring Operation: 24/8=3, Resulting Numbers: [47, 3]
Generated Node #0,2,2: 15:[47, 3] Operation: 24/8=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[8, 23], Operations: ['88-41=47', '47-24=23']
Exploring Operation: 8*23=184, Resulting Numbers: [184]
184,15 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[8, 41, 88, 24], Operations: []
Exploring Operation: 88-41=47, Resulting Numbers: [8, 24, 47]
Generated Node #0,2: 15:[8, 24, 47] Operation: 88-41=47
Moving to Node #0,2
Current State: 15:[8, 24, 47], Operations: ['88-41=47']
Exploring Operation: 47-24=23, Resulting Numbers: [8, 23]
Generated Node #0,2,0: 15:[8, 23] Operation: 47-24=23
Moving to Node #0,2,0
Current State: 15:[8, 23], Operations: ['88-41=47', '47-24=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167
|
hs_3
|
mult_heuristic
|
[
7,
55,
14,
45
] | 28
|
[
"55-14=41",
"45-41=4",
"7*4=28"
] |
Current State: 28:[7, 55, 14, 45], Operations: []
Exploring Operation: 55-14=41, Resulting Numbers: [7, 45, 41]
Generated Node #2: [7, 45, 41] from Operation: 55-14=41
Current State: 28:[7, 45, 41], Operations: ['55-14=41']
Exploring Operation: 45-41=4, Resulting Numbers: [7, 4]
Generated Node #3: [7, 4] from Operation: 45-41=4
Current State: 28:[7, 4], Operations: ['55-14=41', '45-41=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[7, 55, 14, 45], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [7, 14, 10]
Generated Node #0,0: 28:[7, 14, 10] Operation: 55-45=10
Exploring Operation: 55-14=41, Resulting Numbers: [7, 45, 41]
Generated Node #0,1: 28:[7, 45, 41] Operation: 55-14=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[7, 14, 10], Operations: ['55-45=10']
Exploring Operation: 14-10=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0: 28:[7, 4] Operation: 14-10=4
Exploring Operation: 10-7=3, Resulting Numbers: [14, 3]
Generated Node #0,0,1: 28:[14, 3] Operation: 10-7=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[7, 4], Operations: ['55-45=10', '14-10=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[7, 55, 14, 45], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [7, 14, 10]
Generated Node #0,0: 28:[7, 14, 10] Operation: 55-45=10
Moving to Node #0,0
Current State: 28:[7, 14, 10], Operations: ['55-45=10']
Exploring Operation: 14-10=4, Resulting Numbers: [7, 4]
Generated Node #0,0,0: 28:[7, 4] Operation: 14-10=4
Moving to Node #0,0,0
Current State: 28:[7, 4], Operations: ['55-45=10', '14-10=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
sum_heuristic
|
[
16,
78,
4,
72
] | 86
|
[
"16*4=64",
"78+72=150",
"150-64=86"
] |
Current State: 86:[16, 78, 4, 72], Operations: []
Exploring Operation: 16*4=64, Resulting Numbers: [78, 72, 64]
Generated Node #2: [78, 72, 64] from Operation: 16*4=64
Current State: 86:[78, 72, 64], Operations: ['16*4=64']
Exploring Operation: 78+72=150, Resulting Numbers: [64, 150]
Generated Node #3: [64, 150] from Operation: 78+72=150
Current State: 86:[64, 150], Operations: ['16*4=64', '78+72=150']
Exploring Operation: 150-64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[16, 78, 4, 72], Operations: []
Exploring Operation: 16+72=88, Resulting Numbers: [78, 4, 88]
Generated Node #0,0: 86:[78, 4, 88] Operation: 16+72=88
Exploring Operation: 78-72=6, Resulting Numbers: [16, 4, 6]
Generated Node #0,1: 86:[16, 4, 6] Operation: 78-72=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[78, 4, 88], Operations: ['16+72=88']
Exploring Operation: 88-78=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 86:[4, 10] Operation: 88-78=10
Exploring Operation: 78+4=82, Resulting Numbers: [88, 82]
Generated Node #0,0,1: 86:[88, 82] Operation: 78+4=82
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[88, 82], Operations: ['16+72=88', '78+4=82']
Exploring Operation: 88+82=170, Resulting Numbers: [170]
170,86 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,86 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: 86:[4, 10], Operations: ['16+72=88', '88-78=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,86 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: 86:[16, 4, 6], Operations: ['78-72=6']
Exploring Operation: 16/4=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 86:[6, 4] Operation: 16/4=4
Exploring Operation: 16-6=10, Resulting Numbers: [4, 10]
Generated Node #0,1,1: 86:[4, 10] Operation: 16-6=10
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[6, 4], Operations: ['78-72=6', '16/4=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,86 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: 86:[4, 10], Operations: ['78-72=6', '16-6=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,86 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
|
[
32,
16,
56,
80
] | 49
|
[
"32+80=112",
"112/16=7",
"56-7=49"
] |
Current State: 49:[32, 16, 56, 80], Operations: []
Exploring Operation: 32+80=112, Resulting Numbers: [16, 56, 112]
Generated Node #2: [16, 56, 112] from Operation: 32+80=112
Current State: 49:[16, 56, 112], Operations: ['32+80=112']
Exploring Operation: 112/16=7, Resulting Numbers: [56, 7]
Generated Node #3: [56, 7] from Operation: 112/16=7
Current State: 49:[56, 7], Operations: ['32+80=112', '112/16=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[32, 16, 56, 80], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [32, 56, 5]
Generated Node #0,0: 49:[32, 56, 5] Operation: 80/16=5
Exploring Operation: 80-32=48, Resulting Numbers: [16, 56, 48]
Generated Node #0,1: 49:[16, 56, 48] Operation: 80-32=48
Moving to Node #0,1
Current State: 49:[16, 56, 48], Operations: ['80-32=48']
Exploring Operation: 56-16=40, Resulting Numbers: [48, 40]
Generated Node #0,1,0: 49:[48, 40] Operation: 56-16=40
Exploring Operation: 56-48=8, Resulting Numbers: [16, 8]
Generated Node #0,1,1: 49:[16, 8] Operation: 56-48=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[48, 40], Operations: ['80-32=48', '56-16=40']
Exploring Operation: 48+40=88, Resulting Numbers: [88]
88,49 unequal: No Solution
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,49 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 #0,1,1
Current State: 49:[16, 8], Operations: ['80-32=48', '56-48=8']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,49 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: 49:[32, 56, 5], Operations: ['80/16=5']
Exploring Operation: 56-32=24, Resulting Numbers: [5, 24]
Generated Node #0,0,0: 49:[5, 24] Operation: 56-32=24
Exploring Operation: 32+5=37, Resulting Numbers: [56, 37]
Generated Node #0,0,1: 49:[56, 37] Operation: 32+5=37
Moving to Node #0,0,0
Current State: 49:[5, 24], Operations: ['80/16=5', '56-32=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[56, 37], Operations: ['80/16=5', '32+5=37']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,49 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
23,
55,
47,
46
] | 77
|
[
"23+55=78",
"47-46=1",
"78-1=77"
] |
Current State: 77:[23, 55, 47, 46], Operations: []
Exploring Operation: 23+55=78, Resulting Numbers: [47, 46, 78]
Generated Node #2: [47, 46, 78] from Operation: 23+55=78
Current State: 77:[47, 46, 78], Operations: ['23+55=78']
Exploring Operation: 47-46=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 47-46=1
Current State: 77:[78, 1], Operations: ['23+55=78', '47-46=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[23, 55, 47, 46], Operations: []
Exploring Operation: 47+46=93, Resulting Numbers: [23, 55, 93]
Generated Node #0,0: 77:[23, 55, 93] Operation: 47+46=93
Exploring Operation: 55-47=8, Resulting Numbers: [23, 46, 8]
Generated Node #0,1: 77:[23, 46, 8] Operation: 55-47=8
Exploring Operation: 55-46=9, Resulting Numbers: [23, 47, 9]
Generated Node #0,2: 77:[23, 47, 9] Operation: 55-46=9
Exploring Operation: 47-46=1, Resulting Numbers: [23, 55, 1]
Generated Node #0,3: 77:[23, 55, 1] Operation: 47-46=1
Moving to Node #0,3
Current State: 77:[23, 55, 1], Operations: ['47-46=1']
Exploring Operation: 23+55=78, Resulting Numbers: [1, 78]
Generated Node #0,3,0: 77:[1, 78] Operation: 23+55=78
Exploring Operation: 23-1=22, Resulting Numbers: [55, 22]
Generated Node #0,3,1: 77:[55, 22] Operation: 23-1=22
Exploring Operation: 55+1=56, Resulting Numbers: [23, 56]
Generated Node #0,3,2: 77:[23, 56] Operation: 55+1=56
Exploring Operation: 55-23=32, Resulting Numbers: [1, 32]
Generated Node #0,3,3: 77:[1, 32] Operation: 55-23=32
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 77:[1, 78], Operations: ['47-46=1', '23+55=78']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[23, 55, 47, 46], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [23, 55, 1]
Generated Node #0,3: 77:[23, 55, 1] Operation: 47-46=1
Moving to Node #0,3
Current State: 77:[23, 55, 1], Operations: ['47-46=1']
Exploring Operation: 23+55=78, Resulting Numbers: [1, 78]
Generated Node #0,3,0: 77:[1, 78] Operation: 23+55=78
Moving to Node #0,3,0
Current State: 77:[1, 78], Operations: ['47-46=1', '23+55=78']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_4
|
sum_heuristic
|
[
99,
16,
30,
17
] | 90
|
[
"99*30=2970",
"16+17=33",
"2970/33=90"
] |
Current State: 90:[99, 16, 30, 17], Operations: []
Exploring Operation: 99*30=2970, Resulting Numbers: [16, 17, 2970]
Generated Node #2: [16, 17, 2970] from Operation: 99*30=2970
Current State: 90:[16, 17, 2970], Operations: ['99*30=2970']
Exploring Operation: 16+17=33, Resulting Numbers: [2970, 33]
Generated Node #3: [2970, 33] from Operation: 16+17=33
Current State: 90:[2970, 33], Operations: ['99*30=2970', '16+17=33']
Exploring Operation: 2970/33=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[99, 16, 30, 17], Operations: []
Exploring Operation: 99-16=83, Resulting Numbers: [30, 17, 83]
Generated Node #0,0: 90:[30, 17, 83] Operation: 99-16=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[30, 17, 83], Operations: ['99-16=83']
Exploring Operation: 30+17=47, Resulting Numbers: [83, 47]
Generated Node #0,0,0: 90:[83, 47] Operation: 30+17=47
Moving to Node #0,0,0
Current State: 90:[83, 47], Operations: ['99-16=83', '30+17=47']
Exploring Operation: 83-47=36, Resulting Numbers: [36]
36,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
31,
26,
33,
87
] | 35
|
[
"33-31=2",
"26*2=52",
"87-52=35"
] |
Current State: 35:[31, 26, 33, 87], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [26, 87, 2]
Generated Node #2: [26, 87, 2] from Operation: 33-31=2
Current State: 35:[26, 87, 2], Operations: ['33-31=2']
Exploring Operation: 26*2=52, Resulting Numbers: [87, 52]
Generated Node #3: [87, 52] from Operation: 26*2=52
Current State: 35:[87, 52], Operations: ['33-31=2', '26*2=52']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[31, 26, 33, 87], Operations: []
Exploring Operation: 87-31=56, Resulting Numbers: [26, 33, 56]
Generated Node #0,0: 35:[26, 33, 56] Operation: 87-31=56
Moving to Node #0,0
Current State: 35:[26, 33, 56], Operations: ['87-31=56']
Exploring Operation: 56-26=30, Resulting Numbers: [33, 30]
Generated Node #0,0,0: 35:[33, 30] Operation: 56-26=30
Moving to Node #0,0,0
Current State: 35:[33, 30], Operations: ['87-31=56', '56-26=30']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,35 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
4,
72,
4,
34
] | 54
|
[
"4*4=16",
"72-34=38",
"16+38=54"
] |
Current State: 54:[4, 72, 4, 34], Operations: []
Exploring Operation: 4*4=16, Resulting Numbers: [72, 34, 16]
Generated Node #2: [72, 34, 16] from Operation: 4*4=16
Current State: 54:[72, 34, 16], Operations: ['4*4=16']
Exploring Operation: 72-34=38, Resulting Numbers: [16, 38]
Generated Node #3: [16, 38] from Operation: 72-34=38
Current State: 54:[16, 38], Operations: ['4*4=16', '72-34=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[4, 72, 4, 34], Operations: []
Exploring Operation: 72-34=38, Resulting Numbers: [4, 4, 38]
Generated Node #0,0: 54:[4, 4, 38] Operation: 72-34=38
Exploring Operation: 72-4=68, Resulting Numbers: [4, 34, 68]
Generated Node #0,1: 54:[4, 34, 68] Operation: 72-4=68
Exploring Operation: 34-4=30, Resulting Numbers: [72, 4, 30]
Generated Node #0,2: 54:[72, 4, 30] Operation: 34-4=30
Exploring Operation: 72/4=18, Resulting Numbers: [4, 34, 18]
Generated Node #0,3: 54:[4, 34, 18] Operation: 72/4=18
Exploring Operation: 72/4=18, Resulting Numbers: [4, 34, 18]
Generated Node #0,4: 54:[4, 34, 18] Operation: 72/4=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[4, 34, 18], Operations: ['72/4=18']
Exploring Operation: 4+34=38, Resulting Numbers: [18, 38]
Generated Node #0,3,0: 54:[18, 38] Operation: 4+34=38
Exploring Operation: 34-18=16, Resulting Numbers: [4, 16]
Generated Node #0,3,1: 54:[4, 16] Operation: 34-18=16
Exploring Operation: 34-4=30, Resulting Numbers: [18, 30]
Generated Node #0,3,2: 54:[18, 30] Operation: 34-4=30
Exploring Operation: 4+18=22, Resulting Numbers: [34, 22]
Generated Node #0,3,3: 54:[34, 22] Operation: 4+18=22
Exploring Operation: 34+18=52, Resulting Numbers: [4, 52]
Generated Node #0,3,4: 54:[4, 52] Operation: 34+18=52
Moving to Node #0,3,1
Current State: 54:[4, 16], Operations: ['72/4=18', '34-18=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Moving to Node #0,3,4
Current State: 54:[4, 52], Operations: ['72/4=18', '34+18=52']
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,54 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Moving to Node #0,3,2
Current State: 54:[18, 30], Operations: ['72/4=18', '34-4=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,54 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[18, 38], Operations: ['72/4=18', '4+34=38']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[34, 22], Operations: ['72/4=18', '4+18=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,54 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,54 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 #0,4
Current State: 54:[4, 34, 18], Operations: ['72/4=18']
Exploring Operation: 34+18=52, Resulting Numbers: [4, 52]
Generated Node #0,4,0: 54:[4, 52] Operation: 34+18=52
Exploring Operation: 34-18=16, Resulting Numbers: [4, 16]
Generated Node #0,4,1: 54:[4, 16] Operation: 34-18=16
Exploring Operation: 34-4=30, Resulting Numbers: [18, 30]
Generated Node #0,4,2: 54:[18, 30] Operation: 34-4=30
Exploring Operation: 4+34=38, Resulting Numbers: [18, 38]
Generated Node #0,4,3: 54:[18, 38] Operation: 4+34=38
Exploring Operation: 4+18=22, Resulting Numbers: [34, 22]
Generated Node #0,4,4: 54:[34, 22] Operation: 4+18=22
Moving to Node #0,4,0
Current State: 54:[4, 52], Operations: ['72/4=18', '34+18=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,54 unequal: No Solution
Moving to Node #0,4,2
Current State: 54:[18, 30], Operations: ['72/4=18', '34-4=30']
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,54 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,54 unequal: No Solution
Moving to Node #0,4,1
Current State: 54:[4, 16], Operations: ['72/4=18', '34-18=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,54 unequal: No Solution
Moving to Node #0,4,3
Current State: 54:[18, 38], Operations: ['72/4=18', '4+34=38']
Exploring Operation: 18+38=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 18*38=684, Resulting Numbers: [684]
684,54 unequal: No Solution
Moving to Node #0,4,4
Current State: 54:[34, 22], Operations: ['72/4=18', '4+18=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,54 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,54 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 #0,0
Current State: 54:[4, 4, 38], Operations: ['72-34=38']
Exploring Operation: 4/4=1, Resulting Numbers: [38, 1]
Generated Node #0,0,0: 54:[38, 1] Operation: 4/4=1
Exploring Operation: 38-4=34, Resulting Numbers: [4, 34]
Generated Node #0,0,1: 54:[4, 34] Operation: 38-4=34
Exploring Operation: 4*4=16, Resulting Numbers: [38, 16]
Generated Node #0,0,2: 54:[38, 16] Operation: 4*4=16
Exploring Operation: 38-4=34, Resulting Numbers: [4, 34]
Generated Node #0,0,3: 54:[4, 34] Operation: 38-4=34
Exploring Operation: 4+4=8, Resulting Numbers: [38, 8]
Generated Node #0,0,4: 54:[38, 8] Operation: 4+4=8
Moving to Node #0,0,1
Current State: 54:[4, 34], Operations: ['72-34=38', '38-4=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,54 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[4, 34], Operations: ['72-34=38', '38-4=34']
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,54 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[38, 1], Operations: ['72-34=38', '4/4=1']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,54 unequal: No Solution
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,54 unequal: No Solution
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,54 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,54 unequal: No Solution
Moving to Node #0,0,4
Current State: 54:[38, 8], Operations: ['72-34=38', '4+4=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,54 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[38, 16], Operations: ['72-34=38', '4*4=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,54 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[4, 72, 4, 34], Operations: []
Exploring Operation: 72-34=38, Resulting Numbers: [4, 4, 38]
Generated Node #0,0: 54:[4, 4, 38] Operation: 72-34=38
Moving to Node #0,0
Current State: 54:[4, 4, 38], Operations: ['72-34=38']
Exploring Operation: 4*4=16, Resulting Numbers: [38, 16]
Generated Node #0,0,2: 54:[38, 16] Operation: 4*4=16
Moving to Node #0,0,2
Current State: 54:[38, 16], Operations: ['72-34=38', '4*4=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.936632
|
hs_5
|
mult_heuristic
|
[
6,
4,
68,
50
] | 66
|
[
"68-50=18",
"4*18=72",
"72-6=66"
] |
Current State: 66:[6, 4, 68, 50], Operations: []
Exploring Operation: 68-50=18, Resulting Numbers: [6, 4, 18]
Generated Node #2: [6, 4, 18] from Operation: 68-50=18
Current State: 66:[6, 4, 18], Operations: ['68-50=18']
Exploring Operation: 4*18=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 4*18=72
Current State: 66:[6, 72], Operations: ['68-50=18', '4*18=72']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[6, 4, 68, 50], Operations: []
Exploring Operation: 50-6=44, Resulting Numbers: [4, 68, 44]
Generated Node #0,0: 66:[4, 68, 44] Operation: 50-6=44
Exploring Operation: 68-50=18, Resulting Numbers: [6, 4, 18]
Generated Node #0,1: 66:[6, 4, 18] Operation: 68-50=18
Exploring Operation: 6+50=56, Resulting Numbers: [4, 68, 56]
Generated Node #0,2: 66:[4, 68, 56] Operation: 6+50=56
Moving to Node #0,1
Current State: 66:[6, 4, 18], Operations: ['68-50=18']
Exploring Operation: 18-6=12, Resulting Numbers: [4, 12]
Generated Node #0,1,0: 66:[4, 12] Operation: 18-6=12
Exploring Operation: 18/6=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 66:[4, 3] Operation: 18/6=3
Exploring Operation: 4+18=22, Resulting Numbers: [6, 22]
Generated Node #0,1,2: 66:[6, 22] Operation: 4+18=22
Moving to Node #0,2
Current State: 66:[4, 68, 56], Operations: ['6+50=56']
Exploring Operation: 68-56=12, Resulting Numbers: [4, 12]
Generated Node #0,2,0: 66:[4, 12] Operation: 68-56=12
Exploring Operation: 4+56=60, Resulting Numbers: [68, 60]
Generated Node #0,2,1: 66:[68, 60] Operation: 4+56=60
Exploring Operation: 56/4=14, Resulting Numbers: [68, 14]
Generated Node #0,2,2: 66:[68, 14] Operation: 56/4=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[4, 12], Operations: ['6+50=56', '68-56=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[68, 14], Operations: ['6+50=56', '56/4=14']
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 68*14=952, Resulting Numbers: [952]
952,66 unequal: No Solution
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 66:[68, 60], Operations: ['6+50=56', '4+56=60']
Exploring Operation: 68-60=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 68*60=4080, Resulting Numbers: [4080]
4080,66 unequal: No Solution
Exploring Operation: 68+60=128, Resulting Numbers: [128]
128,66 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: 66:[4, 68, 44], Operations: ['50-6=44']
Exploring Operation: 68-44=24, Resulting Numbers: [4, 24]
Generated Node #0,0,0: 66:[4, 24] Operation: 68-44=24
Exploring Operation: 44-4=40, Resulting Numbers: [68, 40]
Generated Node #0,0,1: 66:[68, 40] Operation: 44-4=40
Exploring Operation: 44/4=11, Resulting Numbers: [68, 11]
Generated Node #0,0,2: 66:[68, 11] Operation: 44/4=11
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[68, 11], Operations: ['50-6=44', '44/4=11']
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,66 unequal: No Solution
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,66 unequal: No Solution
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[4, 24], Operations: ['50-6=44', '68-44=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[68, 40], Operations: ['50-6=44', '44-4=40']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 68*40=2720, Resulting Numbers: [2720]
2720,66 unequal: No Solution
Exploring Operation: 68+40=108, Resulting Numbers: [108]
108,66 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: 66:[6, 22], Operations: ['68-50=18', '4+18=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,66 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[4, 3], Operations: ['68-50=18', '18/6=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[4, 12], Operations: ['68-50=18', '18-6=12']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
86,
1,
96,
25
] | 15
|
[
"86*1=86",
"96-25=71",
"86-71=15"
] |
Current State: 15:[86, 1, 96, 25], Operations: []
Exploring Operation: 86*1=86, Resulting Numbers: [96, 25, 86]
Generated Node #2: [96, 25, 86] from Operation: 86*1=86
Current State: 15:[96, 25, 86], Operations: ['86*1=86']
Exploring Operation: 96-25=71, Resulting Numbers: [86, 71]
Generated Node #3: [86, 71] from Operation: 96-25=71
Current State: 15:[86, 71], Operations: ['86*1=86', '96-25=71']
Exploring Operation: 86-71=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[86, 1, 96, 25], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [1, 25, 10]
Generated Node #0,0: 15:[1, 25, 10] Operation: 96-86=10
Moving to Node #0,0
Current State: 15:[1, 25, 10], Operations: ['96-86=10']
Exploring Operation: 25-10=15, Resulting Numbers: [1, 15]
Generated Node #0,0,0: 15:[1, 15] Operation: 25-10=15
Moving to Node #0,0,0
Current State: 15:[1, 15], Operations: ['96-86=10', '25-10=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[86, 1, 96, 25], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [1, 25, 10]
Generated Node #0,0: 15:[1, 25, 10] Operation: 96-86=10
Moving to Node #0,0
Current State: 15:[1, 25, 10], Operations: ['96-86=10']
Exploring Operation: 25-10=15, Resulting Numbers: [1, 15]
Generated Node #0,0,0: 15:[1, 15] Operation: 25-10=15
Moving to Node #0,0,0
Current State: 15:[1, 15], Operations: ['96-86=10', '25-10=15']
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.993924
|
hs_1
|
mult_heuristic
|
[
60,
75,
71,
45
] | 30
|
[
"75-71=4",
"60/4=15",
"45-15=30"
] |
Current State: 30:[60, 75, 71, 45], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [60, 45, 4]
Generated Node #2: [60, 45, 4] from Operation: 75-71=4
Current State: 30:[60, 45, 4], Operations: ['75-71=4']
Exploring Operation: 60/4=15, Resulting Numbers: [45, 15]
Generated Node #3: [45, 15] from Operation: 60/4=15
Current State: 30:[45, 15], Operations: ['75-71=4', '60/4=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[60, 75, 71, 45], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [60, 45, 4]
Generated Node #0,0: 30:[60, 45, 4] Operation: 75-71=4
Exploring Operation: 71-60=11, Resulting Numbers: [75, 45, 11]
Generated Node #0,1: 30:[75, 45, 11] Operation: 71-60=11
Exploring Operation: 75-45=30, Resulting Numbers: [60, 71, 30]
Generated Node #0,2: 30:[60, 71, 30] Operation: 75-45=30
Exploring Operation: 75-60=15, Resulting Numbers: [71, 45, 15]
Generated Node #0,3: 30:[71, 45, 15] Operation: 75-60=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[60, 45, 4], Operations: ['75-71=4']
Exploring Operation: 60-45=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 30:[4, 15] Operation: 60-45=15
Exploring Operation: 45-4=41, Resulting Numbers: [60, 41]
Generated Node #0,0,1: 30:[60, 41] Operation: 45-4=41
Exploring Operation: 60/4=15, Resulting Numbers: [45, 15]
Generated Node #0,0,2: 30:[45, 15] Operation: 60/4=15
Exploring Operation: 60-4=56, Resulting Numbers: [45, 56]
Generated Node #0,0,3: 30:[45, 56] Operation: 60-4=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[4, 15], Operations: ['75-71=4', '60-45=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 30:[45, 15], Operations: ['75-71=4', '60/4=15']
Exploring Operation: 45*15=675, Resulting Numbers: [675]
675,30 unequal: No Solution
Exploring Operation: 45+15=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[60, 75, 71, 45], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [60, 45, 4]
Generated Node #0,0: 30:[60, 45, 4] Operation: 75-71=4
Moving to Node #0,0
Current State: 30:[60, 45, 4], Operations: ['75-71=4']
Exploring Operation: 60/4=15, Resulting Numbers: [45, 15]
Generated Node #0,0,2: 30:[45, 15] Operation: 60/4=15
Moving to Node #0,0,2
Current State: 30:[45, 15], Operations: ['75-71=4', '60/4=15']
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375
|
hs_4
|
mult_heuristic
|
[
9,
20,
7,
83
] | 86
|
[
"20+7=27",
"27/9=3",
"83+3=86"
] |
Current State: 86:[9, 20, 7, 83], Operations: []
Exploring Operation: 20+7=27, Resulting Numbers: [9, 83, 27]
Generated Node #2: [9, 83, 27] from Operation: 20+7=27
Current State: 86:[9, 83, 27], Operations: ['20+7=27']
Exploring Operation: 27/9=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 27/9=3
Current State: 86:[83, 3], Operations: ['20+7=27', '27/9=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[9, 20, 7, 83], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [7, 83, 11]
Generated Node #0,0: 86:[7, 83, 11] Operation: 20-9=11
Exploring Operation: 9+20=29, Resulting Numbers: [7, 83, 29]
Generated Node #0,1: 86:[7, 83, 29] Operation: 9+20=29
Exploring Operation: 20-7=13, Resulting Numbers: [9, 83, 13]
Generated Node #0,2: 86:[9, 83, 13] Operation: 20-7=13
Exploring Operation: 9-7=2, Resulting Numbers: [20, 83, 2]
Generated Node #0,3: 86:[20, 83, 2] Operation: 9-7=2
Exploring Operation: 20+7=27, Resulting Numbers: [9, 83, 27]
Generated Node #0,4: 86:[9, 83, 27] Operation: 20+7=27
Moving to Node #0,0
Current State: 86:[7, 83, 11], Operations: ['20-9=11']
Exploring Operation: 7*11=77, Resulting Numbers: [83, 77]
Generated Node #0,0,0: 86:[83, 77] Operation: 7*11=77
Exploring Operation: 83-7=76, Resulting Numbers: [11, 76]
Generated Node #0,0,1: 86:[11, 76] Operation: 83-7=76
Exploring Operation: 83+11=94, Resulting Numbers: [7, 94]
Generated Node #0,0,2: 86:[7, 94] Operation: 83+11=94
Exploring Operation: 11-7=4, Resulting Numbers: [83, 4]
Generated Node #0,0,3: 86:[83, 4] Operation: 11-7=4
Exploring Operation: 7+83=90, Resulting Numbers: [11, 90]
Generated Node #0,0,4: 86:[11, 90] Operation: 7+83=90
Moving to Node #0,3
Current State: 86:[20, 83, 2], Operations: ['9-7=2']
Exploring Operation: 20-2=18, Resulting Numbers: [83, 18]
Generated Node #0,3,0: 86:[83, 18] Operation: 20-2=18
Exploring Operation: 20/2=10, Resulting Numbers: [83, 10]
Generated Node #0,3,1: 86:[83, 10] Operation: 20/2=10
Exploring Operation: 83+2=85, Resulting Numbers: [20, 85]
Generated Node #0,3,2: 86:[20, 85] Operation: 83+2=85
Exploring Operation: 20*2=40, Resulting Numbers: [83, 40]
Generated Node #0,3,3: 86:[83, 40] Operation: 20*2=40
Exploring Operation: 20+83=103, Resulting Numbers: [2, 103]
Generated Node #0,3,4: 86:[2, 103] Operation: 20+83=103
Moving to Node #0,2
Current State: 86:[9, 83, 13], Operations: ['20-7=13']
Exploring Operation: 13-9=4, Resulting Numbers: [83, 4]
Generated Node #0,2,0: 86:[83, 4] Operation: 13-9=4
Exploring Operation: 9+13=22, Resulting Numbers: [83, 22]
Generated Node #0,2,1: 86:[83, 22] Operation: 9+13=22
Exploring Operation: 83-9=74, Resulting Numbers: [13, 74]
Generated Node #0,2,2: 86:[13, 74] Operation: 83-9=74
Exploring Operation: 83+13=96, Resulting Numbers: [9, 96]
Generated Node #0,2,3: 86:[9, 96] Operation: 83+13=96
Exploring Operation: 9+83=92, Resulting Numbers: [13, 92]
Generated Node #0,2,4: 86:[13, 92] Operation: 9+83=92
Moving to Node #0,1
Current State: 86:[7, 83, 29], Operations: ['9+20=29']
Exploring Operation: 83-7=76, Resulting Numbers: [29, 76]
Generated Node #0,1,0: 86:[29, 76] Operation: 83-7=76
Exploring Operation: 29-7=22, Resulting Numbers: [83, 22]
Generated Node #0,1,1: 86:[83, 22] Operation: 29-7=22
Exploring Operation: 7+29=36, Resulting Numbers: [83, 36]
Generated Node #0,1,2: 86:[83, 36] Operation: 7+29=36
Exploring Operation: 83-29=54, Resulting Numbers: [7, 54]
Generated Node #0,1,3: 86:[7, 54] Operation: 83-29=54
Exploring Operation: 7+83=90, Resulting Numbers: [29, 90]
Generated Node #0,1,4: 86:[29, 90] Operation: 7+83=90
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[83, 36], Operations: ['9+20=29', '7+29=36']
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,86 unequal: No Solution
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,86 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,86 unequal: No Solution
No 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: 86:[7, 54], Operations: ['9+20=29', '83-29=54']
Exploring Operation: 7+54=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 7*54=378, Resulting Numbers: [378]
378,86 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,86 unequal: No Solution
No 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: 86:[29, 90], Operations: ['9+20=29', '7+83=90']
Exploring Operation: 29*90=2610, Resulting Numbers: [2610]
2610,86 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 29+90=119, Resulting Numbers: [119]
119,86 unequal: No Solution
No 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: 86:[83, 22], Operations: ['9+20=29', '29-7=22']
Exploring Operation: 83-22=61, Resulting Numbers: [61]
61,86 unequal: No Solution
Exploring Operation: 83+22=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 83*22=1826, Resulting Numbers: [1826]
1826,86 unequal: No Solution
No 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: 86:[29, 76], Operations: ['9+20=29', '83-7=76']
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 29+76=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 29*76=2204, Resulting Numbers: [2204]
2204,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 86:[9, 83, 27], Operations: ['20+7=27']
Exploring Operation: 83-27=56, Resulting Numbers: [9, 56]
Generated Node #0,4,0: 86:[9, 56] Operation: 83-27=56
Exploring Operation: 9+27=36, Resulting Numbers: [83, 36]
Generated Node #0,4,1: 86:[83, 36] Operation: 9+27=36
Exploring Operation: 27-9=18, Resulting Numbers: [83, 18]
Generated Node #0,4,2: 86:[83, 18] Operation: 27-9=18
Exploring Operation: 27/9=3, Resulting Numbers: [83, 3]
Generated Node #0,4,3: 86:[83, 3] Operation: 27/9=3
Exploring Operation: 9+83=92, Resulting Numbers: [27, 92]
Generated Node #0,4,4: 86:[27, 92] Operation: 9+83=92
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 86:[83, 3], Operations: ['20+7=27', '27/9=3']
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,86 unequal: No Solution
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[9, 20, 7, 83], Operations: []
Exploring Operation: 20+7=27, Resulting Numbers: [9, 83, 27]
Generated Node #0,4: 86:[9, 83, 27] Operation: 20+7=27
Moving to Node #0,4
Current State: 86:[9, 83, 27], Operations: ['20+7=27']
Exploring Operation: 27/9=3, Resulting Numbers: [83, 3]
Generated Node #0,4,3: 86:[83, 3] Operation: 27/9=3
Moving to Node #0,4,3
Current State: 86:[83, 3], Operations: ['20+7=27', '27/9=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729
|
hs_5
|
mult_heuristic
|
[
35,
15,
8,
34
] | 76
|
[
"35+15=50",
"34-8=26",
"50+26=76"
] |
Current State: 76:[35, 15, 8, 34], Operations: []
Exploring Operation: 35+15=50, Resulting Numbers: [8, 34, 50]
Generated Node #2: [8, 34, 50] from Operation: 35+15=50
Current State: 76:[8, 34, 50], Operations: ['35+15=50']
Exploring Operation: 34-8=26, Resulting Numbers: [50, 26]
Generated Node #3: [50, 26] from Operation: 34-8=26
Current State: 76:[50, 26], Operations: ['35+15=50', '34-8=26']
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[35, 15, 8, 34], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [35, 8, 19]
Generated Node #0,0: 76:[35, 8, 19] Operation: 34-15=19
Moving to Node #0,0
Current State: 76:[35, 8, 19], Operations: ['34-15=19']
Exploring Operation: 35+8=43, Resulting Numbers: [19, 43]
Generated Node #0,0,0: 76:[19, 43] Operation: 35+8=43
Moving to Node #0,0,0
Current State: 76:[19, 43], Operations: ['34-15=19', '35+8=43']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,76 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
20,
50,
31,
21
] | 52
|
[
"31-21=10",
"20/10=2",
"50+2=52"
] |
Current State: 52:[20, 50, 31, 21], Operations: []
Exploring Operation: 31-21=10, Resulting Numbers: [20, 50, 10]
Generated Node #2: [20, 50, 10] from Operation: 31-21=10
Current State: 52:[20, 50, 10], Operations: ['31-21=10']
Exploring Operation: 20/10=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 20/10=2
Current State: 52:[50, 2], Operations: ['31-21=10', '20/10=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[20, 50, 31, 21], Operations: []
Exploring Operation: 31-20=11, Resulting Numbers: [50, 21, 11]
Generated Node #0,0: 52:[50, 21, 11] Operation: 31-20=11
Exploring Operation: 20+31=51, Resulting Numbers: [50, 21, 51]
Generated Node #0,1: 52:[50, 21, 51] Operation: 20+31=51
Exploring Operation: 31+21=52, Resulting Numbers: [20, 50, 52]
Generated Node #0,2: 52:[20, 50, 52] Operation: 31+21=52
Exploring Operation: 21-20=1, Resulting Numbers: [50, 31, 1]
Generated Node #0,3: 52:[50, 31, 1] Operation: 21-20=1
Moving to Node #0,1
Current State: 52:[50, 21, 51], Operations: ['20+31=51']
Exploring Operation: 51-21=30, Resulting Numbers: [50, 30]
Generated Node #0,1,0: 52:[50, 30] Operation: 51-21=30
Exploring Operation: 51-50=1, Resulting Numbers: [21, 1]
Generated Node #0,1,1: 52:[21, 1] Operation: 51-50=1
Exploring Operation: 50-21=29, Resulting Numbers: [51, 29]
Generated Node #0,1,2: 52:[51, 29] Operation: 50-21=29
Exploring Operation: 50+21=71, Resulting Numbers: [51, 71]
Generated Node #0,1,3: 52:[51, 71] Operation: 50+21=71
Moving to Node #0,3
Current State: 52:[50, 31, 1], Operations: ['21-20=1']
Exploring Operation: 50+1=51, Resulting Numbers: [31, 51]
Generated Node #0,3,0: 52:[31, 51] Operation: 50+1=51
Exploring Operation: 31-1=30, Resulting Numbers: [50, 30]
Generated Node #0,3,1: 52:[50, 30] Operation: 31-1=30
Exploring Operation: 50*1=50, Resulting Numbers: [31, 50]
Generated Node #0,3,2: 52:[31, 50] Operation: 50*1=50
Exploring Operation: 50-31=19, Resulting Numbers: [1, 19]
Generated Node #0,3,3: 52:[1, 19] Operation: 50-31=19
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[31, 51], Operations: ['21-20=1', '50+1=51']
Exploring Operation: 31*51=1581, Resulting Numbers: [1581]
1581,52 unequal: No Solution
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 31+51=82, Resulting Numbers: [82]
82,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[50, 30], Operations: ['21-20=1', '31-1=30']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,52 unequal: No Solution
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[31, 50], Operations: ['21-20=1', '50*1=50']
Exploring Operation: 31+50=81, Resulting Numbers: [81]
81,52 unequal: No Solution
Exploring Operation: 31*50=1550, Resulting Numbers: [1550]
1550,52 unequal: No Solution
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[1, 19], Operations: ['21-20=1', '50-31=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,52 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: 52:[20, 50, 52], Operations: ['31+21=52']
Exploring Operation: 52-20=32, Resulting Numbers: [50, 32]
Generated Node #0,2,0: 52:[50, 32] Operation: 52-20=32
Exploring Operation: 20+50=70, Resulting Numbers: [52, 70]
Generated Node #0,2,1: 52:[52, 70] Operation: 20+50=70
Exploring Operation: 50-20=30, Resulting Numbers: [52, 30]
Generated Node #0,2,2: 52:[52, 30] Operation: 50-20=30
Exploring Operation: 52-50=2, Resulting Numbers: [20, 2]
Generated Node #0,2,3: 52:[20, 2] Operation: 52-50=2
Moving to Node #0,0
Current State: 52:[50, 21, 11], Operations: ['31-20=11']
Exploring Operation: 21-11=10, Resulting Numbers: [50, 10]
Generated Node #0,0,0: 52:[50, 10] Operation: 21-11=10
Exploring Operation: 50+11=61, Resulting Numbers: [21, 61]
Generated Node #0,0,1: 52:[21, 61] Operation: 50+11=61
Exploring Operation: 21+11=32, Resulting Numbers: [50, 32]
Generated Node #0,0,2: 52:[50, 32] Operation: 21+11=32
Exploring Operation: 50-21=29, Resulting Numbers: [11, 29]
Generated Node #0,0,3: 52:[11, 29] Operation: 50-21=29
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[50, 10], Operations: ['31-20=11', '21-11=10']
Exploring Operation: 50+10=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 50*10=500, Resulting Numbers: [500]
500,52 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[11, 29], Operations: ['31-20=11', '50-21=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,52 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[50, 32], Operations: ['31-20=11', '21+11=32']
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,52 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[21, 61], Operations: ['31-20=11', '50+11=61']
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,52 unequal: No Solution
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,52 unequal: No Solution
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,52 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: 52:[51, 29], Operations: ['20+31=51', '50-21=29']
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,52 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[52, 30], Operations: ['31+21=52', '50-20=30']
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,52 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,52 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[21, 1], Operations: ['20+31=51', '51-50=1']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[20, 2], Operations: ['31+21=52', '52-50=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[50, 30], Operations: ['20+31=51', '51-21=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[50, 32], Operations: ['31+21=52', '52-20=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,52 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[52, 70], Operations: ['31+21=52', '20+50=70']
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 52+70=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Exploring Operation: 52*70=3640, Resulting Numbers: [3640]
3640,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[51, 71], Operations: ['20+31=51', '50+21=71']
Exploring Operation: 51*71=3621, Resulting Numbers: [3621]
3621,52 unequal: No Solution
Exploring Operation: 51+71=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,52 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
73,
14,
37,
38
] | 59
|
[
"73-14=59",
"38-37=1",
"59*1=59"
] |
Current State: 59:[73, 14, 37, 38], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [37, 38, 59]
Generated Node #2: [37, 38, 59] from Operation: 73-14=59
Current State: 59:[37, 38, 59], Operations: ['73-14=59']
Exploring Operation: 38-37=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 38-37=1
Current State: 59:[59, 1], Operations: ['73-14=59', '38-37=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[73, 14, 37, 38], Operations: []
Exploring Operation: 73-14=59, Resulting Numbers: [37, 38, 59]
Generated Node #0,0: 59:[37, 38, 59] Operation: 73-14=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[37, 38, 59], Operations: ['73-14=59']
Exploring Operation: 37+38=75, Resulting Numbers: [59, 75]
Generated Node #0,0,0: 59:[59, 75] Operation: 37+38=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[59, 75], Operations: ['73-14=59', '37+38=75']
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
8,
70,
16,
10
] | 40
|
[
"8*70=560",
"560/10=56",
"56-16=40"
] |
Current State: 40:[8, 70, 16, 10], Operations: []
Exploring Operation: 8*70=560, Resulting Numbers: [16, 10, 560]
Generated Node #2: [16, 10, 560] from Operation: 8*70=560
Current State: 40:[16, 10, 560], Operations: ['8*70=560']
Exploring Operation: 560/10=56, Resulting Numbers: [16, 56]
Generated Node #3: [16, 56] from Operation: 560/10=56
Current State: 40:[16, 56], Operations: ['8*70=560', '560/10=56']
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4
|
Current State: 40:[8, 70, 16, 10], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [8, 10, 54]
Generated Node #0,0: 40:[8, 10, 54] Operation: 70-16=54
Exploring Operation: 70/10=7, Resulting Numbers: [8, 16, 7]
Generated Node #0,1: 40:[8, 16, 7] Operation: 70/10=7
Exploring Operation: 70-10=60, Resulting Numbers: [8, 16, 60]
Generated Node #0,2: 40:[8, 16, 60] Operation: 70-10=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[8, 16, 7], Operations: ['70/10=7']
Exploring Operation: 16/8=2, Resulting Numbers: [7, 2]
Generated Node #0,1,0: 40:[7, 2] Operation: 16/8=2
Exploring Operation: 16-8=8, Resulting Numbers: [7, 8]
Generated Node #0,1,1: 40:[7, 8] Operation: 16-8=8
Exploring Operation: 16-7=9, Resulting Numbers: [8, 9]
Generated Node #0,1,2: 40:[8, 9] Operation: 16-7=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[7, 2], Operations: ['70/10=7', '16/8=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,40 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: 40:[7, 8], Operations: ['70/10=7', '16-8=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,40 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,40 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: 40:[8, 9], Operations: ['70/10=7', '16-7=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,40 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,40 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: 40:[8, 10, 54], Operations: ['70-16=54']
Exploring Operation: 10-8=2, Resulting Numbers: [54, 2]
Generated Node #0,0,0: 40:[54, 2] Operation: 10-8=2
Exploring Operation: 54-10=44, Resulting Numbers: [8, 44]
Generated Node #0,0,1: 40:[8, 44] Operation: 54-10=44
Exploring Operation: 54-8=46, Resulting Numbers: [10, 46]
Generated Node #0,0,2: 40:[10, 46] Operation: 54-8=46
Moving to Node #0,0,1
Current State: 40:[8, 44], Operations: ['70-16=54', '54-10=44']
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,40 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[10, 46], Operations: ['70-16=54', '54-8=46']
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 10*46=460, Resulting Numbers: [460]
460,40 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[54, 2], Operations: ['70-16=54', '10-8=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,40 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 #0,2
Current State: 40:[8, 16, 60], Operations: ['70-10=60']
Exploring Operation: 16-8=8, Resulting Numbers: [60, 8]
Generated Node #0,2,0: 40:[60, 8] Operation: 16-8=8
Exploring Operation: 60-16=44, Resulting Numbers: [8, 44]
Generated Node #0,2,1: 40:[8, 44] Operation: 60-16=44
Exploring Operation: 60-8=52, Resulting Numbers: [16, 52]
Generated Node #0,2,2: 40:[16, 52] Operation: 60-8=52
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 40:[8, 44], Operations: ['70-10=60', '60-16=44']
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,40 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,40 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: 40:[16, 52], Operations: ['70-10=60', '60-8=52']
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,40 unequal: No Solution
Exploring Operation: 16*52=832, Resulting Numbers: [832]
832,40 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,40 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: 40:[60, 8], Operations: ['70-10=60', '16-8=8']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,40 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,40 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
|
[
80,
39,
19,
39
] | 17
|
[
"80-39=41",
"19+39=58",
"58-41=17"
] |
Current State: 17:[80, 39, 19, 39], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [19, 41]
Generated Node #2: [19, 41] from Operation: 80-39=41
Current State: 17:[19, 41], Operations: ['80-39=41']
Exploring Operation: 19+39=58, Resulting Numbers: [41, 58]
Generated Node #3: [41, 58] from Operation: 19+39=58
Current State: 17:[41, 58], Operations: ['80-39=41', '19+39=58']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[80, 39, 19, 39], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [19, 39, 41]
Generated Node #0,0: 17:[19, 39, 41] Operation: 80-39=41
Moving to Node #0,0
Current State: 17:[19, 39, 41], Operations: ['80-39=41']
Exploring Operation: 41-39=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 17:[19, 2] Operation: 41-39=2
Moving to Node #0,0,0
Current State: 17:[19, 2], Operations: ['80-39=41', '41-39=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[80, 39, 19, 39], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [19, 39, 41]
Generated Node #0,0: 17:[19, 39, 41] Operation: 80-39=41
Moving to Node #0,0
Current State: 17:[19, 39, 41], Operations: ['80-39=41']
Exploring Operation: 41-39=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 17:[19, 2] Operation: 41-39=2
Moving to Node #0,0,0
Current State: 17:[19, 2], Operations: ['80-39=41', '41-39=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.993924
|
hs_1
|
mult_heuristic
|
[
2,
48,
16,
49
] | 83
|
[
"2+48=50",
"49-16=33",
"50+33=83"
] |
Current State: 83:[2, 48, 16, 49], Operations: []
Exploring Operation: 2+48=50, Resulting Numbers: [16, 49, 50]
Generated Node #2: [16, 49, 50] from Operation: 2+48=50
Current State: 83:[16, 49, 50], Operations: ['2+48=50']
Exploring Operation: 49-16=33, Resulting Numbers: [50, 33]
Generated Node #3: [50, 33] from Operation: 49-16=33
Current State: 83:[50, 33], Operations: ['2+48=50', '49-16=33']
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[2, 48, 16, 49], Operations: []
Exploring Operation: 2*48=96, Resulting Numbers: [16, 49, 96]
Generated Node #0,0: 83:[16, 49, 96] Operation: 2*48=96
Moving to Node #0,0
Current State: 83:[16, 49, 96], Operations: ['2*48=96']
Exploring Operation: 16+49=65, Resulting Numbers: [96, 65]
Generated Node #0,0,0: 83:[96, 65] Operation: 16+49=65
Moving to Node #0,0,0
Current State: 83:[96, 65], Operations: ['2*48=96', '16+49=65']
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,83 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
79,
65,
78,
97
] | 33
|
[
"79-65=14",
"97-78=19",
"14+19=33"
] |
Current State: 33:[79, 65, 78, 97], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [78, 97, 14]
Generated Node #2: [78, 97, 14] from Operation: 79-65=14
Current State: 33:[78, 97, 14], Operations: ['79-65=14']
Exploring Operation: 97-78=19, Resulting Numbers: [14, 19]
Generated Node #3: [14, 19] from Operation: 97-78=19
Current State: 33:[14, 19], Operations: ['79-65=14', '97-78=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[79, 65, 78, 97], Operations: []
Exploring Operation: 97-79=18, Resulting Numbers: [65, 78, 18]
Generated Node #0,0: 33:[65, 78, 18] Operation: 97-79=18
Exploring Operation: 79-78=1, Resulting Numbers: [65, 97, 1]
Generated Node #0,1: 33:[65, 97, 1] Operation: 79-78=1
Exploring Operation: 79-65=14, Resulting Numbers: [78, 97, 14]
Generated Node #0,2: 33:[78, 97, 14] Operation: 79-65=14
Exploring Operation: 97-78=19, Resulting Numbers: [79, 65, 19]
Generated Node #0,3: 33:[79, 65, 19] Operation: 97-78=19
Exploring Operation: 97-65=32, Resulting Numbers: [79, 78, 32]
Generated Node #0,4: 33:[79, 78, 32] Operation: 97-65=32
Moving to Node #0,0
Current State: 33:[65, 78, 18], Operations: ['97-79=18']
Exploring Operation: 65-18=47, Resulting Numbers: [78, 47]
Generated Node #0,0,0: 33:[78, 47] Operation: 65-18=47
Exploring Operation: 78-65=13, Resulting Numbers: [18, 13]
Generated Node #0,0,1: 33:[18, 13] Operation: 78-65=13
Exploring Operation: 78+18=96, Resulting Numbers: [65, 96]
Generated Node #0,0,2: 33:[65, 96] Operation: 78+18=96
Exploring Operation: 65+18=83, Resulting Numbers: [78, 83]
Generated Node #0,0,3: 33:[78, 83] Operation: 65+18=83
Exploring Operation: 78-18=60, Resulting Numbers: [65, 60]
Generated Node #0,0,4: 33:[65, 60] Operation: 78-18=60
Moving to Node #0,3
Current State: 33:[79, 65, 19], Operations: ['97-78=19']
Exploring Operation: 65-19=46, Resulting Numbers: [79, 46]
Generated Node #0,3,0: 33:[79, 46] Operation: 65-19=46
Exploring Operation: 79+19=98, Resulting Numbers: [65, 98]
Generated Node #0,3,1: 33:[65, 98] Operation: 79+19=98
Exploring Operation: 79-65=14, Resulting Numbers: [19, 14]
Generated Node #0,3,2: 33:[19, 14] Operation: 79-65=14
Exploring Operation: 79-19=60, Resulting Numbers: [65, 60]
Generated Node #0,3,3: 33:[65, 60] Operation: 79-19=60
Exploring Operation: 65+19=84, Resulting Numbers: [79, 84]
Generated Node #0,3,4: 33:[79, 84] Operation: 65+19=84
Moving to Node #0,4
Current State: 33:[79, 78, 32], Operations: ['97-65=32']
Exploring Operation: 79-78=1, Resulting Numbers: [32, 1]
Generated Node #0,4,0: 33:[32, 1] Operation: 79-78=1
Exploring Operation: 79-32=47, Resulting Numbers: [78, 47]
Generated Node #0,4,1: 33:[78, 47] Operation: 79-32=47
Exploring Operation: 78+32=110, Resulting Numbers: [79, 110]
Generated Node #0,4,2: 33:[79, 110] Operation: 78+32=110
Exploring Operation: 79+32=111, Resulting Numbers: [78, 111]
Generated Node #0,4,3: 33:[78, 111] Operation: 79+32=111
Exploring Operation: 78-32=46, Resulting Numbers: [79, 46]
Generated Node #0,4,4: 33:[79, 46] Operation: 78-32=46
Moving to Node #0,1
Current State: 33:[65, 97, 1], Operations: ['79-78=1']
Exploring Operation: 65-1=64, Resulting Numbers: [97, 64]
Generated Node #0,1,0: 33:[97, 64] Operation: 65-1=64
Exploring Operation: 65/1=65, Resulting Numbers: [97, 65]
Generated Node #0,1,1: 33:[97, 65] Operation: 65/1=65
Exploring Operation: 97-65=32, Resulting Numbers: [1, 32]
Generated Node #0,1,2: 33:[1, 32] Operation: 97-65=32
Exploring Operation: 65*1=65, Resulting Numbers: [97, 65]
Generated Node #0,1,3: 33:[97, 65] Operation: 65*1=65
Exploring Operation: 97-1=96, Resulting Numbers: [65, 96]
Generated Node #0,1,4: 33:[65, 96] Operation: 97-1=96
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[1, 32], Operations: ['79-78=1', '97-65=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,33 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,33 unequal: No Solution
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[79, 65, 78, 97], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [65, 97, 1]
Generated Node #0,1: 33:[65, 97, 1] Operation: 79-78=1
Moving to Node #0,1
Current State: 33:[65, 97, 1], Operations: ['79-78=1']
Exploring Operation: 97-65=32, Resulting Numbers: [1, 32]
Generated Node #0,1,2: 33:[1, 32] Operation: 97-65=32
Moving to Node #0,1,2
Current State: 33:[1, 32], Operations: ['79-78=1', '97-65=32']
Exploring Operation: 1+32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222
|
hs_5
|
sum_heuristic
|
[
72,
48,
66,
17
] | 25
|
[
"72-48=24",
"66-17=49",
"49-24=25"
] |
Current State: 25:[72, 48, 66, 17], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [66, 17, 24]
Generated Node #2: [66, 17, 24] from Operation: 72-48=24
Current State: 25:[66, 17, 24], Operations: ['72-48=24']
Exploring Operation: 66-17=49, Resulting Numbers: [24, 49]
Generated Node #3: [24, 49] from Operation: 66-17=49
Current State: 25:[24, 49], Operations: ['72-48=24', '66-17=49']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[72, 48, 66, 17], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [72, 17, 18]
Generated Node #0,0: 25:[72, 17, 18] Operation: 66-48=18
Exploring Operation: 72-48=24, Resulting Numbers: [66, 17, 24]
Generated Node #0,1: 25:[66, 17, 24] Operation: 72-48=24
Exploring Operation: 72-66=6, Resulting Numbers: [48, 17, 6]
Generated Node #0,2: 25:[48, 17, 6] Operation: 72-66=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[48, 17, 6], Operations: ['72-66=6']
Exploring Operation: 48-6=42, Resulting Numbers: [17, 42]
Generated Node #0,2,0: 25:[17, 42] Operation: 48-6=42
Exploring Operation: 48-17=31, Resulting Numbers: [6, 31]
Generated Node #0,2,1: 25:[6, 31] Operation: 48-17=31
Exploring Operation: 48/6=8, Resulting Numbers: [17, 8]
Generated Node #0,2,2: 25:[17, 8] Operation: 48/6=8
Moving to Node #0,2,1
Current State: 25:[6, 31], Operations: ['72-66=6', '48-17=31']
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,25 unequal: No Solution
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[72, 48, 66, 17], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [48, 17, 6]
Generated Node #0,2: 25:[48, 17, 6] Operation: 72-66=6
Moving to Node #0,2
Current State: 25:[48, 17, 6], Operations: ['72-66=6']
Exploring Operation: 48-17=31, Resulting Numbers: [6, 31]
Generated Node #0,2,1: 25:[6, 31] Operation: 48-17=31
Moving to Node #0,2,1
Current State: 25:[6, 31], Operations: ['72-66=6', '48-17=31']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
27,
28,
34,
4
] | 56
|
[
"34-27=7",
"4*7=28",
"28+28=56"
] |
Current State: 56:[27, 28, 34, 4], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [28, 4, 7]
Generated Node #2: [28, 4, 7] from Operation: 34-27=7
Current State: 56:[28, 4, 7], Operations: ['34-27=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28, 28]
Generated Node #3: [28, 28] from Operation: 4*7=28
Current State: 56:[28, 28], Operations: ['34-27=7', '4*7=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[27, 28, 34, 4], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [28, 4, 7]
Generated Node #0,0: 56:[28, 4, 7] Operation: 34-27=7
Exploring Operation: 27+34=61, Resulting Numbers: [28, 4, 61]
Generated Node #0,1: 56:[28, 4, 61] Operation: 27+34=61
Exploring Operation: 34-28=6, Resulting Numbers: [27, 4, 6]
Generated Node #0,2: 56:[27, 4, 6] Operation: 34-28=6
Exploring Operation: 34-4=30, Resulting Numbers: [27, 28, 30]
Generated Node #0,3: 56:[27, 28, 30] Operation: 34-4=30
Exploring Operation: 27+28=55, Resulting Numbers: [34, 4, 55]
Generated Node #0,4: 56:[34, 4, 55] Operation: 27+28=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[28, 4, 7], Operations: ['34-27=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 56:[4, 4] Operation: 28/7=4
Exploring Operation: 4+7=11, Resulting Numbers: [28, 11]
Generated Node #0,0,1: 56:[28, 11] Operation: 4+7=11
Exploring Operation: 7-4=3, Resulting Numbers: [28, 3]
Generated Node #0,0,2: 56:[28, 3] Operation: 7-4=3
Exploring Operation: 28/4=7, Resulting Numbers: [7, 7]
Generated Node #0,0,3: 56:[7, 7] Operation: 28/4=7
Exploring Operation: 4*7=28, Resulting Numbers: [28, 28]
Generated Node #0,0,4: 56:[28, 28] Operation: 4*7=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[4, 4], Operations: ['34-27=7', '28/7=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,56 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: 56:[7, 7], Operations: ['34-27=7', '28/4=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 56:[28, 28], Operations: ['34-27=7', '4*7=28']
Exploring Operation: 28-28=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 28*28=784, Resulting Numbers: [784]
784,56 unequal: No Solution
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[27, 28, 34, 4], Operations: []
Exploring Operation: 34-27=7, Resulting Numbers: [28, 4, 7]
Generated Node #0,0: 56:[28, 4, 7] Operation: 34-27=7
Moving to Node #0,0
Current State: 56:[28, 4, 7], Operations: ['34-27=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28, 28]
Generated Node #0,0,4: 56:[28, 28] Operation: 4*7=28
Moving to Node #0,0,4
Current State: 56:[28, 28], Operations: ['34-27=7', '4*7=28']
Exploring Operation: 28+28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299
|
hs_5
|
sum_heuristic
|
[
85,
58,
82,
91
] | 99
|
[
"85-82=3",
"91-58=33",
"3*33=99"
] |
Current State: 99:[85, 58, 82, 91], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [58, 91, 3]
Generated Node #2: [58, 91, 3] from Operation: 85-82=3
Current State: 99:[58, 91, 3], Operations: ['85-82=3']
Exploring Operation: 91-58=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 91-58=33
Current State: 99:[3, 33], Operations: ['85-82=3', '91-58=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
Current State: 99:[85, 58, 82, 91], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [58, 91, 3]
Generated Node #0,0: 99:[58, 91, 3] Operation: 85-82=3
Exploring Operation: 91-58=33, Resulting Numbers: [85, 82, 33]
Generated Node #0,1: 99:[85, 82, 33] Operation: 91-58=33
Exploring Operation: 85-58=27, Resulting Numbers: [82, 91, 27]
Generated Node #0,2: 99:[82, 91, 27] Operation: 85-58=27
Exploring Operation: 82-58=24, Resulting Numbers: [85, 91, 24]
Generated Node #0,3: 99:[85, 91, 24] Operation: 82-58=24
Moving to Node #0,1
Current State: 99:[85, 82, 33], Operations: ['91-58=33']
Exploring Operation: 82-33=49, Resulting Numbers: [85, 49]
Generated Node #0,1,0: 99:[85, 49] Operation: 82-33=49
Exploring Operation: 85-82=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 99:[33, 3] Operation: 85-82=3
Exploring Operation: 82+33=115, Resulting Numbers: [85, 115]
Generated Node #0,1,2: 99:[85, 115] Operation: 82+33=115
Exploring Operation: 85+33=118, Resulting Numbers: [82, 118]
Generated Node #0,1,3: 99:[82, 118] Operation: 85+33=118
Moving to Node #0,3
Current State: 99:[85, 91, 24], Operations: ['82-58=24']
Exploring Operation: 85-24=61, Resulting Numbers: [91, 61]
Generated Node #0,3,0: 99:[91, 61] Operation: 85-24=61
Exploring Operation: 91+24=115, Resulting Numbers: [85, 115]
Generated Node #0,3,1: 99:[85, 115] Operation: 91+24=115
Exploring Operation: 91-85=6, Resulting Numbers: [24, 6]
Generated Node #0,3,2: 99:[24, 6] Operation: 91-85=6
Exploring Operation: 85+24=109, Resulting Numbers: [91, 109]
Generated Node #0,3,3: 99:[91, 109] Operation: 85+24=109
Moving to Node #0,2
Current State: 99:[82, 91, 27], Operations: ['85-58=27']
Exploring Operation: 82-27=55, Resulting Numbers: [91, 55]
Generated Node #0,2,0: 99:[91, 55] Operation: 82-27=55
Exploring Operation: 91+27=118, Resulting Numbers: [82, 118]
Generated Node #0,2,1: 99:[82, 118] Operation: 91+27=118
Exploring Operation: 82+27=109, Resulting Numbers: [91, 109]
Generated Node #0,2,2: 99:[91, 109] Operation: 82+27=109
Exploring Operation: 91-82=9, Resulting Numbers: [27, 9]
Generated Node #0,2,3: 99:[27, 9] Operation: 91-82=9
Moving to Node #0,0
Current State: 99:[58, 91, 3], Operations: ['85-82=3']
Exploring Operation: 58-3=55, Resulting Numbers: [91, 55]
Generated Node #0,0,0: 99:[91, 55] Operation: 58-3=55
Exploring Operation: 91+3=94, Resulting Numbers: [58, 94]
Generated Node #0,0,1: 99:[58, 94] Operation: 91+3=94
Exploring Operation: 91-58=33, Resulting Numbers: [3, 33]
Generated Node #0,0,2: 99:[3, 33] Operation: 91-58=33
Exploring Operation: 58+3=61, Resulting Numbers: [91, 61]
Generated Node #0,0,3: 99:[91, 61] Operation: 58+3=61
Moving to Node #0,1,1
Current State: 99:[33, 3], Operations: ['91-58=33', '85-82=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,99 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,99 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[85, 58, 82, 91], Operations: []
Exploring Operation: 91-58=33, Resulting Numbers: [85, 82, 33]
Generated Node #0,1: 99:[85, 82, 33] Operation: 91-58=33
Moving to Node #0,1
Current State: 99:[85, 82, 33], Operations: ['91-58=33']
Exploring Operation: 85-82=3, Resulting Numbers: [33, 3]
Generated Node #0,1,1: 99:[33, 3] Operation: 85-82=3
Moving to Node #0,1,1
Current State: 99:[33, 3], Operations: ['91-58=33', '85-82=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.976563
|
hs_4
|
mult_heuristic
|
[
6,
63,
40,
41
] | 68
|
[
"6+63=69",
"41-40=1",
"69-1=68"
] |
Current State: 68:[6, 63, 40, 41], Operations: []
Exploring Operation: 6+63=69, Resulting Numbers: [40, 41, 69]
Generated Node #2: [40, 41, 69] from Operation: 6+63=69
Current State: 68:[40, 41, 69], Operations: ['6+63=69']
Exploring Operation: 41-40=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 41-40=1
Current State: 68:[69, 1], Operations: ['6+63=69', '41-40=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[6, 63, 40, 41], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [6, 63, 1]
Generated Node #0,0: 68:[6, 63, 1] Operation: 41-40=1
Exploring Operation: 63-41=22, Resulting Numbers: [6, 40, 22]
Generated Node #0,1: 68:[6, 40, 22] Operation: 63-41=22
Exploring Operation: 41-6=35, Resulting Numbers: [63, 40, 35]
Generated Node #0,2: 68:[63, 40, 35] Operation: 41-6=35
Exploring Operation: 40-6=34, Resulting Numbers: [63, 41, 34]
Generated Node #0,3: 68:[63, 41, 34] Operation: 40-6=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[6, 63, 1], Operations: ['41-40=1']
Exploring Operation: 6+63=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 68:[1, 69] Operation: 6+63=69
Exploring Operation: 6-1=5, Resulting Numbers: [63, 5]
Generated Node #0,0,1: 68:[63, 5] Operation: 6-1=5
Exploring Operation: 6*1=6, Resulting Numbers: [63, 6]
Generated Node #0,0,2: 68:[63, 6] Operation: 6*1=6
Exploring Operation: 63+1=64, Resulting Numbers: [6, 64]
Generated Node #0,0,3: 68:[6, 64] Operation: 63+1=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[1, 69], Operations: ['41-40=1', '6+63=69']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,68 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[6, 63, 40, 41], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [6, 63, 1]
Generated Node #0,0: 68:[6, 63, 1] Operation: 41-40=1
Moving to Node #0,0
Current State: 68:[6, 63, 1], Operations: ['41-40=1']
Exploring Operation: 6+63=69, Resulting Numbers: [1, 69]
Generated Node #0,0,0: 68:[1, 69] Operation: 6+63=69
Moving to Node #0,0,0
Current State: 68:[1, 69], Operations: ['41-40=1', '6+63=69']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847
|
hs_4
|
mult_heuristic
|
[
57,
11,
68,
20
] | 95
|
[
"57+68=125",
"11*20=220",
"220-125=95"
] |
Current State: 95:[57, 11, 68, 20], Operations: []
Exploring Operation: 57+68=125, Resulting Numbers: [11, 20, 125]
Generated Node #2: [11, 20, 125] from Operation: 57+68=125
Current State: 95:[11, 20, 125], Operations: ['57+68=125']
Exploring Operation: 11*20=220, Resulting Numbers: [125, 220]
Generated Node #3: [125, 220] from Operation: 11*20=220
Current State: 95:[125, 220], Operations: ['57+68=125', '11*20=220']
Exploring Operation: 220-125=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[57, 11, 68, 20], Operations: []
Exploring Operation: 68-57=11, Resulting Numbers: [11, 20, 11]
Generated Node #0,0: 95:[11, 20, 11] Operation: 68-57=11
Moving to Node #0,0
Current State: 95:[11, 20, 11], Operations: ['68-57=11']
Exploring Operation: 11+11=22, Resulting Numbers: [20, 22]
Generated Node #0,0,0: 95:[20, 22] Operation: 11+11=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[20, 22], Operations: ['68-57=11', '11+11=22']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
24,
67,
6,
99
] | 28
|
[
"24/6=4",
"99-67=32",
"32-4=28"
] |
Current State: 28:[24, 67, 6, 99], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [67, 99, 4]
Generated Node #2: [67, 99, 4] from Operation: 24/6=4
Current State: 28:[67, 99, 4], Operations: ['24/6=4']
Exploring Operation: 99-67=32, Resulting Numbers: [4, 32]
Generated Node #3: [4, 32] from Operation: 99-67=32
Current State: 28:[4, 32], Operations: ['24/6=4', '99-67=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[24, 67, 6, 99], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [24, 6, 32]
Generated Node #0,0: 28:[24, 6, 32] Operation: 99-67=32
Exploring Operation: 67-6=61, Resulting Numbers: [24, 99, 61]
Generated Node #0,1: 28:[24, 99, 61] Operation: 67-6=61
Exploring Operation: 99-24=75, Resulting Numbers: [67, 6, 75]
Generated Node #0,2: 28:[67, 6, 75] Operation: 99-24=75
Exploring Operation: 67-24=43, Resulting Numbers: [6, 99, 43]
Generated Node #0,3: 28:[6, 99, 43] Operation: 67-24=43
Moving to Node #0,0
Current State: 28:[24, 6, 32], Operations: ['99-67=32']
Exploring Operation: 32-6=26, Resulting Numbers: [24, 26]
Generated Node #0,0,0: 28:[24, 26] Operation: 32-6=26
Exploring Operation: 32-24=8, Resulting Numbers: [6, 8]
Generated Node #0,0,1: 28:[6, 8] Operation: 32-24=8
Exploring Operation: 24/6=4, Resulting Numbers: [32, 4]
Generated Node #0,0,2: 28:[32, 4] Operation: 24/6=4
Exploring Operation: 24+6=30, Resulting Numbers: [32, 30]
Generated Node #0,0,3: 28:[32, 30] Operation: 24+6=30
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[6, 8], Operations: ['99-67=32', '32-24=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,28 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 #0,0,2
Current State: 28:[32, 4], Operations: ['99-67=32', '24/6=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,28 unequal: No Solution
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,28 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[24, 67, 6, 99], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [24, 6, 32]
Generated Node #0,0: 28:[24, 6, 32] Operation: 99-67=32
Moving to Node #0,0
Current State: 28:[24, 6, 32], Operations: ['99-67=32']
Exploring Operation: 24/6=4, Resulting Numbers: [32, 4]
Generated Node #0,0,2: 28:[32, 4] Operation: 24/6=4
Moving to Node #0,0,2
Current State: 28:[32, 4], Operations: ['99-67=32', '24/6=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507
|
hs_4
|
sum_heuristic
|
[
60,
82,
2,
16
] | 68
|
[
"60/2=30",
"82+16=98",
"98-30=68"
] |
Current State: 68:[60, 82, 2, 16], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [82, 16, 30]
Generated Node #2: [82, 16, 30] from Operation: 60/2=30
Current State: 68:[82, 16, 30], Operations: ['60/2=30']
Exploring Operation: 82+16=98, Resulting Numbers: [30, 98]
Generated Node #3: [30, 98] from Operation: 82+16=98
Current State: 68:[30, 98], Operations: ['60/2=30', '82+16=98']
Exploring Operation: 98-30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[60, 82, 2, 16], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [2, 16, 22]
Generated Node #0,0: 68:[2, 16, 22] Operation: 82-60=22
Exploring Operation: 82-16=66, Resulting Numbers: [60, 2, 66]
Generated Node #0,1: 68:[60, 2, 66] Operation: 82-16=66
Moving to Node #0,0
Current State: 68:[2, 16, 22], Operations: ['82-60=22']
Exploring Operation: 22-2=20, Resulting Numbers: [16, 20]
Generated Node #0,0,0: 68:[16, 20] Operation: 22-2=20
Exploring Operation: 22-16=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 68:[2, 6] Operation: 22-16=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[2, 6], Operations: ['82-60=22', '22-16=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No 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: 68:[16, 20], Operations: ['82-60=22', '22-2=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,68 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: 68:[60, 2, 66], Operations: ['82-16=66']
Exploring Operation: 60/2=30, Resulting Numbers: [66, 30]
Generated Node #0,1,0: 68:[66, 30] Operation: 60/2=30
Exploring Operation: 66-60=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 68:[2, 6] Operation: 66-60=6
Moving to Node #0,1,1
Current State: 68:[2, 6], Operations: ['82-16=66', '66-60=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[66, 30], Operations: ['82-16=66', '60/2=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,68 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,68 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
26,
89,
10,
14
] | 93
|
[
"26+14=40",
"40/10=4",
"89+4=93"
] |
Current State: 93:[26, 89, 10, 14], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [89, 10, 40]
Generated Node #2: [89, 10, 40] from Operation: 26+14=40
Current State: 93:[89, 10, 40], Operations: ['26+14=40']
Exploring Operation: 40/10=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 40/10=4
Current State: 93:[89, 4], Operations: ['26+14=40', '40/10=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[26, 89, 10, 14], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [89, 10, 12]
Generated Node #0,0: 93:[89, 10, 12] Operation: 26-14=12
Exploring Operation: 26+10=36, Resulting Numbers: [89, 14, 36]
Generated Node #0,1: 93:[89, 14, 36] Operation: 26+10=36
Exploring Operation: 10+14=24, Resulting Numbers: [26, 89, 24]
Generated Node #0,2: 93:[26, 89, 24] Operation: 10+14=24
Exploring Operation: 26+14=40, Resulting Numbers: [89, 10, 40]
Generated Node #0,3: 93:[89, 10, 40] Operation: 26+14=40
Exploring Operation: 14-10=4, Resulting Numbers: [26, 89, 4]
Generated Node #0,4: 93:[26, 89, 4] Operation: 14-10=4
Moving to Node #0,4
Current State: 93:[26, 89, 4], Operations: ['14-10=4']
Exploring Operation: 89-4=85, Resulting Numbers: [26, 85]
Generated Node #0,4,0: 93:[26, 85] Operation: 89-4=85
Exploring Operation: 26+4=30, Resulting Numbers: [89, 30]
Generated Node #0,4,1: 93:[89, 30] Operation: 26+4=30
Exploring Operation: 89+4=93, Resulting Numbers: [26, 93]
Generated Node #0,4,2: 93:[26, 93] Operation: 89+4=93
Exploring Operation: 26*4=104, Resulting Numbers: [89, 104]
Generated Node #0,4,3: 93:[89, 104] Operation: 26*4=104
Exploring Operation: 26-4=22, Resulting Numbers: [89, 22]
Generated Node #0,4,4: 93:[89, 22] Operation: 26-4=22
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 93:[89, 30], Operations: ['14-10=4', '26+4=30']
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,93 unequal: No Solution
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,93 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,93 unequal: No Solution
No 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: 93:[26, 93], Operations: ['14-10=4', '89+4=93']
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 26*93=2418, Resulting Numbers: [2418]
2418,93 unequal: No Solution
Exploring Operation: 26+93=119, Resulting Numbers: [119]
119,93 unequal: No Solution
No 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: 93:[26, 85], Operations: ['14-10=4', '89-4=85']
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,93 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,93 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,93 unequal: No Solution
No 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: 93:[89, 22], Operations: ['14-10=4', '26-4=22']
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,93 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 89*22=1958, Resulting Numbers: [1958]
1958,93 unequal: No Solution
No 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: 93:[89, 104], Operations: ['14-10=4', '26*4=104']
Exploring Operation: 89*104=9256, Resulting Numbers: [9256]
9256,93 unequal: No Solution
Exploring Operation: 104-89=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 89+104=193, Resulting Numbers: [193]
193,93 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: 93:[26, 89, 24], Operations: ['10+14=24']
Exploring Operation: 26+89=115, Resulting Numbers: [24, 115]
Generated Node #0,2,0: 93:[24, 115] Operation: 26+89=115
Exploring Operation: 26+24=50, Resulting Numbers: [89, 50]
Generated Node #0,2,1: 93:[89, 50] Operation: 26+24=50
Exploring Operation: 26-24=2, Resulting Numbers: [89, 2]
Generated Node #0,2,2: 93:[89, 2] Operation: 26-24=2
Exploring Operation: 89+24=113, Resulting Numbers: [26, 113]
Generated Node #0,2,3: 93:[26, 113] Operation: 89+24=113
Exploring Operation: 89-24=65, Resulting Numbers: [26, 65]
Generated Node #0,2,4: 93:[26, 65] Operation: 89-24=65
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[89, 2], Operations: ['10+14=24', '26-24=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,93 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,93 unequal: No Solution
No 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: 93:[89, 50], Operations: ['10+14=24', '26+24=50']
Exploring Operation: 89*50=4450, Resulting Numbers: [4450]
4450,93 unequal: No Solution
Exploring Operation: 89+50=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,93 unequal: No Solution
No 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: 93:[26, 113], Operations: ['10+14=24', '89+24=113']
Exploring Operation: 26*113=2938, Resulting Numbers: [2938]
2938,93 unequal: No Solution
Exploring Operation: 113-26=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 26+113=139, Resulting Numbers: [139]
139,93 unequal: No Solution
No 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: 93:[24, 115], Operations: ['10+14=24', '26+89=115']
Exploring Operation: 24+115=139, Resulting Numbers: [139]
139,93 unequal: No Solution
Exploring Operation: 24*115=2760, Resulting Numbers: [2760]
2760,93 unequal: No Solution
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 93:[26, 65], Operations: ['10+14=24', '89-24=65']
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,93 unequal: No Solution
Exploring Operation: 26*65=1690, Resulting Numbers: [1690]
1690,93 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: 93:[89, 10, 12], Operations: ['26-14=12']
Exploring Operation: 12-10=2, Resulting Numbers: [89, 2]
Generated Node #0,0,0: 93:[89, 2] Operation: 12-10=2
Exploring Operation: 89+12=101, Resulting Numbers: [10, 101]
Generated Node #0,0,1: 93:[10, 101] Operation: 89+12=101
Exploring Operation: 10+12=22, Resulting Numbers: [89, 22]
Generated Node #0,0,2: 93:[89, 22] Operation: 10+12=22
Exploring Operation: 89+10=99, Resulting Numbers: [12, 99]
Generated Node #0,0,3: 93:[12, 99] Operation: 89+10=99
Exploring Operation: 89-10=79, Resulting Numbers: [12, 79]
Generated Node #0,0,4: 93:[12, 79] Operation: 89-10=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[89, 2], Operations: ['26-14=12', '12-10=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,93 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,93 unequal: No Solution
No 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: 93:[89, 22], Operations: ['26-14=12', '10+12=22']
Exploring Operation: 89*22=1958, Resulting Numbers: [1958]
1958,93 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,93 unequal: No Solution
No 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: 93:[10, 101], Operations: ['26-14=12', '89+12=101']
Exploring Operation: 101-10=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Exploring Operation: 10*101=1010, Resulting Numbers: [1010]
1010,93 unequal: No Solution
Exploring Operation: 10+101=111, Resulting Numbers: [111]
111,93 unequal: No Solution
No 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: 93:[12, 99], Operations: ['26-14=12', '89+10=99']
Exploring Operation: 12+99=111, Resulting Numbers: [111]
111,93 unequal: No Solution
Exploring Operation: 12*99=1188, Resulting Numbers: [1188]
1188,93 unequal: No Solution
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,93 unequal: No Solution
No 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: 93:[12, 79], Operations: ['26-14=12', '89-10=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,93 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: 93:[89, 14, 36], Operations: ['26+10=36']
Exploring Operation: 14+36=50, Resulting Numbers: [89, 50]
Generated Node #0,1,0: 93:[89, 50] Operation: 14+36=50
Exploring Operation: 36-14=22, Resulting Numbers: [89, 22]
Generated Node #0,1,1: 93:[89, 22] Operation: 36-14=22
Exploring Operation: 89-36=53, Resulting Numbers: [14, 53]
Generated Node #0,1,2: 93:[14, 53] Operation: 89-36=53
Exploring Operation: 89+14=103, Resulting Numbers: [36, 103]
Generated Node #0,1,3: 93:[36, 103] Operation: 89+14=103
Exploring Operation: 89-14=75, Resulting Numbers: [36, 75]
Generated Node #0,1,4: 93:[36, 75] Operation: 89-14=75
Moving to Node #0,3
Current State: 93:[89, 10, 40], Operations: ['26+14=40']
Exploring Operation: 40/10=4, Resulting Numbers: [89, 4]
Generated Node #0,3,0: 93:[89, 4] Operation: 40/10=4
Exploring Operation: 10+40=50, Resulting Numbers: [89, 50]
Generated Node #0,3,1: 93:[89, 50] Operation: 10+40=50
Exploring Operation: 89+10=99, Resulting Numbers: [40, 99]
Generated Node #0,3,2: 93:[40, 99] Operation: 89+10=99
Exploring Operation: 40-10=30, Resulting Numbers: [89, 30]
Generated Node #0,3,3: 93:[89, 30] Operation: 40-10=30
Exploring Operation: 89-10=79, Resulting Numbers: [40, 79]
Generated Node #0,3,4: 93:[40, 79] Operation: 89-10=79
Moving to Node #0,3,0
Current State: 93:[89, 4], Operations: ['26+14=40', '40/10=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[26, 89, 10, 14], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [89, 10, 40]
Generated Node #0,3: 93:[89, 10, 40] Operation: 26+14=40
Moving to Node #0,3
Current State: 93:[89, 10, 40], Operations: ['26+14=40']
Exploring Operation: 40/10=4, Resulting Numbers: [89, 4]
Generated Node #0,3,0: 93:[89, 4] Operation: 40/10=4
Moving to Node #0,3,0
Current State: 93:[89, 4], Operations: ['26+14=40', '40/10=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.930556
|
hs_5
|
mult_heuristic
|
[
1,
7,
46,
44
] | 15
|
[
"7-1=6",
"46+44=90",
"90/6=15"
] |
Current State: 15:[1, 7, 46, 44], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [46, 44, 6]
Generated Node #2: [46, 44, 6] from Operation: 7-1=6
Current State: 15:[46, 44, 6], Operations: ['7-1=6']
Exploring Operation: 46+44=90, Resulting Numbers: [6, 90]
Generated Node #3: [6, 90] from Operation: 46+44=90
Current State: 15:[6, 90], Operations: ['7-1=6', '46+44=90']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[1, 7, 46, 44], Operations: []
Exploring Operation: 44-7=37, Resulting Numbers: [1, 46, 37]
Generated Node #0,0: 15:[1, 46, 37] Operation: 44-7=37
Exploring Operation: 7-1=6, Resulting Numbers: [46, 44, 6]
Generated Node #0,1: 15:[46, 44, 6] Operation: 7-1=6
Exploring Operation: 46-7=39, Resulting Numbers: [1, 44, 39]
Generated Node #0,2: 15:[1, 44, 39] Operation: 46-7=39
Exploring Operation: 46-44=2, Resulting Numbers: [1, 7, 2]
Generated Node #0,3: 15:[1, 7, 2] Operation: 46-44=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[1, 7, 2], Operations: ['46-44=2']
Exploring Operation: 7-2=5, Resulting Numbers: [1, 5]
Generated Node #0,3,0: 15:[1, 5] Operation: 7-2=5
Exploring Operation: 7-1=6, Resulting Numbers: [2, 6]
Generated Node #0,3,1: 15:[2, 6] Operation: 7-1=6
Exploring Operation: 1*7=7, Resulting Numbers: [2, 7]
Generated Node #0,3,2: 15:[2, 7] Operation: 1*7=7
Exploring Operation: 1+2=3, Resulting Numbers: [7, 3]
Generated Node #0,3,3: 15:[7, 3] Operation: 1+2=3
Moving to Node #0,3,0
Current State: 15:[1, 5], Operations: ['46-44=2', '7-2=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[7, 3], Operations: ['46-44=2', '1+2=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[2, 6], Operations: ['46-44=2', '7-1=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[2, 7], Operations: ['46-44=2', '1*7=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[1, 46, 37], Operations: ['44-7=37']
Exploring Operation: 37-1=36, Resulting Numbers: [46, 36]
Generated Node #0,0,0: 15:[46, 36] Operation: 37-1=36
Exploring Operation: 46-37=9, Resulting Numbers: [1, 9]
Generated Node #0,0,1: 15:[1, 9] Operation: 46-37=9
Exploring Operation: 46-1=45, Resulting Numbers: [37, 45]
Generated Node #0,0,2: 15:[37, 45] Operation: 46-1=45
Exploring Operation: 1*46=46, Resulting Numbers: [37, 46]
Generated Node #0,0,3: 15:[37, 46] Operation: 1*46=46
Moving to Node #0,0,1
Current State: 15:[1, 9], Operations: ['44-7=37', '46-37=9']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[37, 45], Operations: ['44-7=37', '46-1=45']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[46, 36], Operations: ['44-7=37', '37-1=36']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 46+36=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 46*36=1656, Resulting Numbers: [1656]
1656,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[37, 46], Operations: ['44-7=37', '1*46=46']
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,15 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[1, 44, 39], Operations: ['46-7=39']
Exploring Operation: 44-1=43, Resulting Numbers: [39, 43]
Generated Node #0,2,0: 15:[39, 43] Operation: 44-1=43
Exploring Operation: 44-39=5, Resulting Numbers: [1, 5]
Generated Node #0,2,1: 15:[1, 5] Operation: 44-39=5
Exploring Operation: 1*44=44, Resulting Numbers: [39, 44]
Generated Node #0,2,2: 15:[39, 44] Operation: 1*44=44
Exploring Operation: 39-1=38, Resulting Numbers: [44, 38]
Generated Node #0,2,3: 15:[44, 38] Operation: 39-1=38
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[1, 5], Operations: ['46-7=39', '44-39=5']
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[39, 43], Operations: ['46-7=39', '44-1=43']
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,15 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 15:[44, 38], Operations: ['46-7=39', '39-1=38']
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 44*38=1672, Resulting Numbers: [1672]
1672,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[39, 44], Operations: ['46-7=39', '1*44=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,15 unequal: No Solution
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 39*44=1716, Resulting Numbers: [1716]
1716,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[46, 44, 6], Operations: ['7-1=6']
Exploring Operation: 46-6=40, Resulting Numbers: [44, 40]
Generated Node #0,1,0: 15:[44, 40] Operation: 46-6=40
Exploring Operation: 46+6=52, Resulting Numbers: [44, 52]
Generated Node #0,1,1: 15:[44, 52] Operation: 46+6=52
Exploring Operation: 44-6=38, Resulting Numbers: [46, 38]
Generated Node #0,1,2: 15:[46, 38] Operation: 44-6=38
Exploring Operation: 46-44=2, Resulting Numbers: [6, 2]
Generated Node #0,1,3: 15:[6, 2] Operation: 46-44=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 15:[6, 2], Operations: ['7-1=6', '46-44=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[44, 40], Operations: ['7-1=6', '46-6=40']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,15 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[46, 38], Operations: ['7-1=6', '44-6=38']
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[44, 52], Operations: ['7-1=6', '46+6=52']
Exploring Operation: 44*52=2288, Resulting Numbers: [2288]
2288,15 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
51,
86,
55,
88
] | 59
|
[
"88-86=2",
"55*2=110",
"110-51=59"
] |
Current State: 59:[51, 86, 55, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [51, 55, 2]
Generated Node #2: [51, 55, 2] from Operation: 88-86=2
Current State: 59:[51, 55, 2], Operations: ['88-86=2']
Exploring Operation: 55*2=110, Resulting Numbers: [51, 110]
Generated Node #3: [51, 110] from Operation: 55*2=110
Current State: 59:[51, 110], Operations: ['88-86=2', '55*2=110']
Exploring Operation: 110-51=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[51, 86, 55, 88], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [51, 86, 33]
Generated Node #0,0: 59:[51, 86, 33] Operation: 88-55=33
Exploring Operation: 86-55=31, Resulting Numbers: [51, 88, 31]
Generated Node #0,1: 59:[51, 88, 31] Operation: 86-55=31
Exploring Operation: 88-86=2, Resulting Numbers: [51, 55, 2]
Generated Node #0,2: 59:[51, 55, 2] Operation: 88-86=2
Exploring Operation: 86-51=35, Resulting Numbers: [55, 88, 35]
Generated Node #0,3: 59:[55, 88, 35] Operation: 86-51=35
Exploring Operation: 88-51=37, Resulting Numbers: [86, 55, 37]
Generated Node #0,4: 59:[86, 55, 37] Operation: 88-51=37
Start Sub Search at level 1: Moving to Node #0,4
Current State: 59:[86, 55, 37], Operations: ['88-51=37']
Exploring Operation: 86-55=31, Resulting Numbers: [37, 31]
Generated Node #0,4,0: 59:[37, 31] Operation: 86-55=31
Exploring Operation: 55-37=18, Resulting Numbers: [86, 18]
Generated Node #0,4,1: 59:[86, 18] Operation: 55-37=18
Exploring Operation: 86-37=49, Resulting Numbers: [55, 49]
Generated Node #0,4,2: 59:[55, 49] Operation: 86-37=49
Exploring Operation: 86+37=123, Resulting Numbers: [55, 123]
Generated Node #0,4,3: 59:[55, 123] Operation: 86+37=123
Exploring Operation: 55+37=92, Resulting Numbers: [86, 92]
Generated Node #0,4,4: 59:[86, 92] Operation: 55+37=92
Moving to Node #0,4,2
Current State: 59:[55, 49], Operations: ['88-51=37', '86-37=49']
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,59 unequal: No Solution
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Moving to Node #0,4,0
Current State: 59:[37, 31], Operations: ['88-51=37', '86-55=31']
Exploring Operation: 37*31=1147, Resulting Numbers: [1147]
1147,59 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Moving to Node #0,4,4
Current State: 59:[86, 92], Operations: ['88-51=37', '55+37=92']
Exploring Operation: 86*92=7912, Resulting Numbers: [7912]
7912,59 unequal: No Solution
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 86+92=178, Resulting Numbers: [178]
178,59 unequal: No Solution
Moving to Node #0,4,1
Current State: 59:[86, 18], Operations: ['88-51=37', '55-37=18']
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,59 unequal: No Solution
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Moving to Node #0,4,3
Current State: 59:[55, 123], Operations: ['88-51=37', '86+37=123']
Exploring Operation: 55+123=178, Resulting Numbers: [178]
178,59 unequal: No Solution
Exploring Operation: 55*123=6765, Resulting Numbers: [6765]
6765,59 unequal: No Solution
Exploring Operation: 123-55=68, Resulting Numbers: [68]
68,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[55, 88, 35], Operations: ['86-51=35']
Exploring Operation: 55-35=20, Resulting Numbers: [88, 20]
Generated Node #0,3,0: 59:[88, 20] Operation: 55-35=20
Exploring Operation: 88-35=53, Resulting Numbers: [55, 53]
Generated Node #0,3,1: 59:[55, 53] Operation: 88-35=53
Exploring Operation: 88-55=33, Resulting Numbers: [35, 33]
Generated Node #0,3,2: 59:[35, 33] Operation: 88-55=33
Exploring Operation: 55+35=90, Resulting Numbers: [88, 90]
Generated Node #0,3,3: 59:[88, 90] Operation: 55+35=90
Exploring Operation: 88+35=123, Resulting Numbers: [55, 123]
Generated Node #0,3,4: 59:[55, 123] Operation: 88+35=123
Moving to Node #0,3,1
Current State: 59:[55, 53], Operations: ['86-51=35', '88-35=53']
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,59 unequal: No Solution
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[35, 33], Operations: ['86-51=35', '88-55=33']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[88, 90], Operations: ['86-51=35', '55+35=90']
Exploring Operation: 88*90=7920, Resulting Numbers: [7920]
7920,59 unequal: No Solution
Exploring Operation: 88+90=178, Resulting Numbers: [178]
178,59 unequal: No Solution
Exploring Operation: 90-88=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[88, 20], Operations: ['86-51=35', '55-35=20']
Exploring Operation: 88+20=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 88*20=1760, Resulting Numbers: [1760]
1760,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[55, 123], Operations: ['86-51=35', '88+35=123']
Exploring Operation: 55+123=178, Resulting Numbers: [178]
178,59 unequal: No Solution
Exploring Operation: 123-55=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 55*123=6765, Resulting Numbers: [6765]
6765,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[51, 86, 33], Operations: ['88-55=33']
Exploring Operation: 86+33=119, Resulting Numbers: [51, 119]
Generated Node #0,0,0: 59:[51, 119] Operation: 86+33=119
Exploring Operation: 86-33=53, Resulting Numbers: [51, 53]
Generated Node #0,0,1: 59:[51, 53] Operation: 86-33=53
Exploring Operation: 51+33=84, Resulting Numbers: [86, 84]
Generated Node #0,0,2: 59:[86, 84] Operation: 51+33=84
Exploring Operation: 51-33=18, Resulting Numbers: [86, 18]
Generated Node #0,0,3: 59:[86, 18] Operation: 51-33=18
Exploring Operation: 86-51=35, Resulting Numbers: [33, 35]
Generated Node #0,0,4: 59:[33, 35] Operation: 86-51=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[51, 53], Operations: ['88-55=33', '86-33=53']
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 51*53=2703, Resulting Numbers: [2703]
2703,59 unequal: No Solution
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 59:[33, 35], Operations: ['88-55=33', '86-51=35']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,59 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[86, 84], Operations: ['88-55=33', '51+33=84']
Exploring Operation: 86-84=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 86+84=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 86*84=7224, Resulting Numbers: [7224]
7224,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[51, 119], Operations: ['88-55=33', '86+33=119']
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 51*119=6069, Resulting Numbers: [6069]
6069,59 unequal: No Solution
Exploring Operation: 51+119=170, Resulting Numbers: [170]
170,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 59:[86, 18], Operations: ['88-55=33', '51-33=18']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,59 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[51, 88, 31], Operations: ['86-55=31']
Exploring Operation: 51+31=82, Resulting Numbers: [88, 82]
Generated Node #0,1,0: 59:[88, 82] Operation: 51+31=82
Exploring Operation: 88+31=119, Resulting Numbers: [51, 119]
Generated Node #0,1,1: 59:[51, 119] Operation: 88+31=119
Exploring Operation: 51-31=20, Resulting Numbers: [88, 20]
Generated Node #0,1,2: 59:[88, 20] Operation: 51-31=20
Exploring Operation: 88-31=57, Resulting Numbers: [51, 57]
Generated Node #0,1,3: 59:[51, 57] Operation: 88-31=57
Exploring Operation: 88-51=37, Resulting Numbers: [31, 37]
Generated Node #0,1,4: 59:[31, 37] Operation: 88-51=37
Moving to Node #0,1,3
Current State: 59:[51, 57], Operations: ['86-55=31', '88-31=57']
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[31, 37], Operations: ['86-55=31', '88-51=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[88, 82], Operations: ['86-55=31', '51+31=82']
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 88+82=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Exploring Operation: 88*82=7216, Resulting Numbers: [7216]
7216,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[51, 119], Operations: ['86-55=31', '88+31=119']
Exploring Operation: 51*119=6069, Resulting Numbers: [6069]
6069,59 unequal: No Solution
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 51+119=170, Resulting Numbers: [170]
170,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[88, 20], Operations: ['86-55=31', '51-31=20']
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 88+20=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 88*20=1760, Resulting Numbers: [1760]
1760,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[51, 55, 2], Operations: ['88-86=2']
Exploring Operation: 55-2=53, Resulting Numbers: [51, 53]
Generated Node #0,2,0: 59:[51, 53] Operation: 55-2=53
Exploring Operation: 55+2=57, Resulting Numbers: [51, 57]
Generated Node #0,2,1: 59:[51, 57] Operation: 55+2=57
Exploring Operation: 51-2=49, Resulting Numbers: [55, 49]
Generated Node #0,2,2: 59:[55, 49] Operation: 51-2=49
Exploring Operation: 51*2=102, Resulting Numbers: [55, 102]
Generated Node #0,2,3: 59:[55, 102] Operation: 51*2=102
Exploring Operation: 51+2=53, Resulting Numbers: [55, 53]
Generated Node #0,2,4: 59:[55, 53] Operation: 51+2=53
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 59:[51, 57], Operations: ['88-86=2', '55+2=57']
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,59 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 59:[55, 53], Operations: ['88-86=2', '51+2=53']
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,59 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[51, 53], Operations: ['88-86=2', '55-2=53']
Exploring Operation: 51*53=2703, Resulting Numbers: [2703]
2703,59 unequal: No Solution
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 59:[55, 49], Operations: ['88-86=2', '51-2=49']
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,59 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 59:[55, 102], Operations: ['88-86=2', '51*2=102']
Exploring Operation: 102-55=47, Resulting Numbers: [47]
47,59 unequal: No Solution
Exploring Operation: 55+102=157, Resulting Numbers: [157]
157,59 unequal: No Solution
Exploring Operation: 55*102=5610, Resulting Numbers: [5610]
5610,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
20,
6,
50,
83
] | 88
|
[
"50-20=30",
"30/6=5",
"83+5=88"
] |
Current State: 88:[20, 6, 50, 83], Operations: []
Exploring Operation: 50-20=30, Resulting Numbers: [6, 83, 30]
Generated Node #2: [6, 83, 30] from Operation: 50-20=30
Current State: 88:[6, 83, 30], Operations: ['50-20=30']
Exploring Operation: 30/6=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 30/6=5
Current State: 88:[83, 5], Operations: ['50-20=30', '30/6=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[20, 6, 50, 83], Operations: []
Exploring Operation: 50-6=44, Resulting Numbers: [20, 83, 44]
Generated Node #0,0: 88:[20, 83, 44] Operation: 50-6=44
Exploring Operation: 20+6=26, Resulting Numbers: [50, 83, 26]
Generated Node #0,1: 88:[50, 83, 26] Operation: 20+6=26
Exploring Operation: 6+83=89, Resulting Numbers: [20, 50, 89]
Generated Node #0,2: 88:[20, 50, 89] Operation: 6+83=89
Exploring Operation: 20-6=14, Resulting Numbers: [50, 83, 14]
Generated Node #0,3: 88:[50, 83, 14] Operation: 20-6=14
Moving to Node #0,0
Current State: 88:[20, 83, 44], Operations: ['50-6=44']
Exploring Operation: 83-20=63, Resulting Numbers: [44, 63]
Generated Node #0,0,0: 88:[44, 63] Operation: 83-20=63
Exploring Operation: 20+83=103, Resulting Numbers: [44, 103]
Generated Node #0,0,1: 88:[44, 103] Operation: 20+83=103
Exploring Operation: 83-44=39, Resulting Numbers: [20, 39]
Generated Node #0,0,2: 88:[20, 39] Operation: 83-44=39
Exploring Operation: 44-20=24, Resulting Numbers: [83, 24]
Generated Node #0,0,3: 88:[83, 24] Operation: 44-20=24
Moving to Node #0,2
Current State: 88:[20, 50, 89], Operations: ['6+83=89']
Exploring Operation: 50-20=30, Resulting Numbers: [89, 30]
Generated Node #0,2,0: 88:[89, 30] Operation: 50-20=30
Exploring Operation: 89-20=69, Resulting Numbers: [50, 69]
Generated Node #0,2,1: 88:[50, 69] Operation: 89-20=69
Exploring Operation: 20+50=70, Resulting Numbers: [89, 70]
Generated Node #0,2,2: 88:[89, 70] Operation: 20+50=70
Exploring Operation: 89-50=39, Resulting Numbers: [20, 39]
Generated Node #0,2,3: 88:[20, 39] Operation: 89-50=39
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[20, 39], Operations: ['6+83=89', '89-50=39']
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[89, 30], Operations: ['6+83=89', '50-20=30']
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[89, 70], Operations: ['6+83=89', '20+50=70']
Exploring Operation: 89*70=6230, Resulting Numbers: [6230]
6230,88 unequal: No Solution
Exploring Operation: 89-70=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 89+70=159, Resulting Numbers: [159]
159,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[50, 69], Operations: ['6+83=89', '89-20=69']
Exploring Operation: 69-50=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 50+69=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 50*69=3450, Resulting Numbers: [3450]
3450,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 88:[50, 83, 14], Operations: ['20-6=14']
Exploring Operation: 50+14=64, Resulting Numbers: [83, 64]
Generated Node #0,3,0: 88:[83, 64] Operation: 50+14=64
Exploring Operation: 50-14=36, Resulting Numbers: [83, 36]
Generated Node #0,3,1: 88:[83, 36] Operation: 50-14=36
Exploring Operation: 83-50=33, Resulting Numbers: [14, 33]
Generated Node #0,3,2: 88:[14, 33] Operation: 83-50=33
Exploring Operation: 83+14=97, Resulting Numbers: [50, 97]
Generated Node #0,3,3: 88:[50, 97] Operation: 83+14=97
Moving to Node #0,1
Current State: 88:[50, 83, 26], Operations: ['20+6=26']
Exploring Operation: 50-26=24, Resulting Numbers: [83, 24]
Generated Node #0,1,0: 88:[83, 24] Operation: 50-26=24
Exploring Operation: 83-50=33, Resulting Numbers: [26, 33]
Generated Node #0,1,1: 88:[26, 33] Operation: 83-50=33
Exploring Operation: 50+26=76, Resulting Numbers: [83, 76]
Generated Node #0,1,2: 88:[83, 76] Operation: 50+26=76
Exploring Operation: 83-26=57, Resulting Numbers: [50, 57]
Generated Node #0,1,3: 88:[50, 57] Operation: 83-26=57
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[83, 24], Operations: ['20+6=26', '50-26=24']
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,88 unequal: No Solution
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[26, 33], Operations: ['20+6=26', '83-50=33']
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,88 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[83, 76], Operations: ['20+6=26', '50+26=76']
Exploring Operation: 83-76=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 83+76=159, Resulting Numbers: [159]
159,88 unequal: No Solution
Exploring Operation: 83*76=6308, Resulting Numbers: [6308]
6308,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[50, 57], Operations: ['20+6=26', '83-26=57']
Exploring Operation: 50+57=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 50*57=2850, Resulting Numbers: [2850]
2850,88 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: 88:[20, 39], Operations: ['50-6=44', '83-44=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[83, 24], Operations: ['50-6=44', '44-20=24']
Exploring Operation: 83+24=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 83*24=1992, Resulting Numbers: [1992]
1992,88 unequal: No Solution
Exploring Operation: 83-24=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[83, 36], Operations: ['20-6=14', '50-14=36']
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 83*36=2988, Resulting Numbers: [2988]
2988,88 unequal: No Solution
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[14, 33], Operations: ['20-6=14', '83-50=33']
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,88 unequal: No Solution
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[44, 103], Operations: ['50-6=44', '20+83=103']
Exploring Operation: 44+103=147, Resulting Numbers: [147]
147,88 unequal: No Solution
Exploring Operation: 103-44=59, Resulting Numbers: [59]
59,88 unequal: No Solution
Exploring Operation: 44*103=4532, Resulting Numbers: [4532]
4532,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[50, 97], Operations: ['20-6=14', '83+14=97']
Exploring Operation: 97-50=47, Resulting Numbers: [47]
47,88 unequal: No Solution
Exploring Operation: 50+97=147, Resulting Numbers: [147]
147,88 unequal: No Solution
Exploring Operation: 50*97=4850, Resulting Numbers: [4850]
4850,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[44, 63], Operations: ['50-6=44', '83-20=63']
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,88 unequal: No Solution
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,88 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[83, 64], Operations: ['20-6=14', '50+14=64']
Exploring Operation: 83+64=147, Resulting Numbers: [147]
147,88 unequal: No Solution
Exploring Operation: 83*64=5312, Resulting Numbers: [5312]
5312,88 unequal: No Solution
Exploring Operation: 83-64=19, Resulting Numbers: [19]
19,88 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
36,
54,
24,
34
] | 39
|
[
"36-34=2",
"54+24=78",
"78/2=39"
] |
Current State: 39:[36, 54, 24, 34], Operations: []
Exploring Operation: 36-34=2, Resulting Numbers: [54, 24, 2]
Generated Node #2: [54, 24, 2] from Operation: 36-34=2
Current State: 39:[54, 24, 2], Operations: ['36-34=2']
Exploring Operation: 54+24=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 54+24=78
Current State: 39:[2, 78], Operations: ['36-34=2', '54+24=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[36, 54, 24, 34], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [54, 34, 12]
Generated Node #0,0: 39:[54, 34, 12] Operation: 36-24=12
Exploring Operation: 34-24=10, Resulting Numbers: [36, 54, 10]
Generated Node #0,1: 39:[36, 54, 10] Operation: 34-24=10
Exploring Operation: 54-36=18, Resulting Numbers: [24, 34, 18]
Generated Node #0,2: 39:[24, 34, 18] Operation: 54-36=18
Exploring Operation: 54-34=20, Resulting Numbers: [36, 24, 20]
Generated Node #0,3: 39:[36, 24, 20] Operation: 54-34=20
Exploring Operation: 54-24=30, Resulting Numbers: [36, 34, 30]
Generated Node #0,4: 39:[36, 34, 30] Operation: 54-24=30
Start Sub Search at level 1: Moving to Node #0,4
Current State: 39:[36, 34, 30], Operations: ['54-24=30']
Exploring Operation: 36+30=66, Resulting Numbers: [34, 66]
Generated Node #0,4,0: 39:[34, 66] Operation: 36+30=66
Exploring Operation: 36-30=6, Resulting Numbers: [34, 6]
Generated Node #0,4,1: 39:[34, 6] Operation: 36-30=6
Exploring Operation: 34-30=4, Resulting Numbers: [36, 4]
Generated Node #0,4,2: 39:[36, 4] Operation: 34-30=4
Exploring Operation: 34+30=64, Resulting Numbers: [36, 64]
Generated Node #0,4,3: 39:[36, 64] Operation: 34+30=64
Exploring Operation: 36-34=2, Resulting Numbers: [30, 2]
Generated Node #0,4,4: 39:[30, 2] Operation: 36-34=2
Moving to Node #0,4,2
Current State: 39:[36, 4], Operations: ['54-24=30', '34-30=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,39 unequal: No Solution
Moving to Node #0,4,1
Current State: 39:[34, 6], Operations: ['54-24=30', '36-30=6']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,39 unequal: No Solution
Moving to Node #0,4,4
Current State: 39:[30, 2], Operations: ['54-24=30', '36-34=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Moving to Node #0,4,3
Current State: 39:[36, 64], Operations: ['54-24=30', '34+30=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 36*64=2304, Resulting Numbers: [2304]
2304,39 unequal: No Solution
Moving to Node #0,4,0
Current State: 39:[34, 66], Operations: ['54-24=30', '36+30=66']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 34*66=2244, Resulting Numbers: [2244]
2244,39 unequal: No Solution
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,39 unequal: No Solution
No 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: 39:[54, 34, 12], Operations: ['36-24=12']
Exploring Operation: 54+12=66, Resulting Numbers: [34, 66]
Generated Node #0,0,0: 39:[34, 66] Operation: 54+12=66
Exploring Operation: 54-34=20, Resulting Numbers: [12, 20]
Generated Node #0,0,1: 39:[12, 20] Operation: 54-34=20
Exploring Operation: 54-12=42, Resulting Numbers: [34, 42]
Generated Node #0,0,2: 39:[34, 42] Operation: 54-12=42
Exploring Operation: 34-12=22, Resulting Numbers: [54, 22]
Generated Node #0,0,3: 39:[54, 22] Operation: 34-12=22
Exploring Operation: 34+12=46, Resulting Numbers: [54, 46]
Generated Node #0,0,4: 39:[54, 46] Operation: 34+12=46
Moving to Node #0,0,1
Current State: 39:[12, 20], Operations: ['36-24=12', '54-34=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[34, 42], Operations: ['36-24=12', '54-12=42']
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,39 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,0,4
Current State: 39:[54, 46], Operations: ['36-24=12', '34+12=46']
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,39 unequal: No Solution
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,0,3
Current State: 39:[54, 22], Operations: ['36-24=12', '34-12=22']
Exploring Operation: 54*22=1188, Resulting Numbers: [1188]
1188,39 unequal: No Solution
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[34, 66], Operations: ['36-24=12', '54+12=66']
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 34*66=2244, Resulting Numbers: [2244]
2244,39 unequal: No Solution
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,39 unequal: No Solution
No 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: 39:[36, 54, 10], Operations: ['34-24=10']
Exploring Operation: 36+10=46, Resulting Numbers: [54, 46]
Generated Node #0,1,0: 39:[54, 46] Operation: 36+10=46
Exploring Operation: 54-36=18, Resulting Numbers: [10, 18]
Generated Node #0,1,1: 39:[10, 18] Operation: 54-36=18
Exploring Operation: 36-10=26, Resulting Numbers: [54, 26]
Generated Node #0,1,2: 39:[54, 26] Operation: 36-10=26
Exploring Operation: 54-10=44, Resulting Numbers: [36, 44]
Generated Node #0,1,3: 39:[36, 44] Operation: 54-10=44
Exploring Operation: 54+10=64, Resulting Numbers: [36, 64]
Generated Node #0,1,4: 39:[36, 64] Operation: 54+10=64
Moving to Node #0,1,1
Current State: 39:[10, 18], Operations: ['34-24=10', '54-36=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,39 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[36, 44], Operations: ['34-24=10', '54-10=44']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,39 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[54, 46], Operations: ['34-24=10', '36+10=46']
Exploring Operation: 54+46=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 54*46=2484, Resulting Numbers: [2484]
2484,39 unequal: No Solution
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[54, 26], Operations: ['34-24=10', '36-10=26']
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,39 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[36, 64], Operations: ['34-24=10', '54+10=64']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 36*64=2304, Resulting Numbers: [2304]
2304,39 unequal: No Solution
No 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: 39:[24, 34, 18], Operations: ['54-36=18']
Exploring Operation: 24+34=58, Resulting Numbers: [18, 58]
Generated Node #0,2,0: 39:[18, 58] Operation: 24+34=58
Exploring Operation: 34-24=10, Resulting Numbers: [18, 10]
Generated Node #0,2,1: 39:[18, 10] Operation: 34-24=10
Exploring Operation: 24+18=42, Resulting Numbers: [34, 42]
Generated Node #0,2,2: 39:[34, 42] Operation: 24+18=42
Exploring Operation: 34-18=16, Resulting Numbers: [24, 16]
Generated Node #0,2,3: 39:[24, 16] Operation: 34-18=16
Exploring Operation: 24-18=6, Resulting Numbers: [34, 6]
Generated Node #0,2,4: 39:[34, 6] Operation: 24-18=6
Moving to Node #0,2,1
Current State: 39:[18, 10], Operations: ['54-36=18', '34-24=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,39 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,2,4
Current State: 39:[34, 6], Operations: ['54-36=18', '24-18=6']
Exploring Operation: 34*6=204, Resulting Numbers: [204]
204,39 unequal: No Solution
Exploring Operation: 34+6=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[34, 42], Operations: ['54-36=18', '24+18=42']
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[24, 16], Operations: ['54-36=18', '34-18=16']
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,39 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[18, 58], Operations: ['54-36=18', '24+34=58']
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 18*58=1044, Resulting Numbers: [1044]
1044,39 unequal: No Solution
No 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: 39:[36, 24, 20], Operations: ['54-34=20']
Exploring Operation: 24-20=4, Resulting Numbers: [36, 4]
Generated Node #0,3,0: 39:[36, 4] Operation: 24-20=4
Exploring Operation: 36-20=16, Resulting Numbers: [24, 16]
Generated Node #0,3,1: 39:[24, 16] Operation: 36-20=16
Exploring Operation: 36+24=60, Resulting Numbers: [20, 60]
Generated Node #0,3,2: 39:[20, 60] Operation: 36+24=60
Exploring Operation: 24+20=44, Resulting Numbers: [36, 44]
Generated Node #0,3,3: 39:[36, 44] Operation: 24+20=44
Exploring Operation: 36-24=12, Resulting Numbers: [20, 12]
Generated Node #0,3,4: 39:[20, 12] Operation: 36-24=12
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 39:[36, 4], Operations: ['54-34=20', '24-20=4']
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,39 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,39 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: 39:[36, 44], Operations: ['54-34=20', '24+20=44']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,39 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: 39:[20, 12], Operations: ['54-34=20', '36-24=12']
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,39 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,39 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: 39:[24, 16], Operations: ['54-34=20', '36-20=16']
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,39 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,39 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: 39:[20, 60], Operations: ['54-34=20', '36+24=60']
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,39 unequal: No Solution
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,39 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,39 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
|
sum_heuristic
|
[
20,
26,
9,
64
] | 96
|
[
"26-20=6",
"9*64=576",
"576/6=96"
] |
Current State: 96:[20, 26, 9, 64], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [9, 64, 6]
Generated Node #2: [9, 64, 6] from Operation: 26-20=6
Current State: 96:[9, 64, 6], Operations: ['26-20=6']
Exploring Operation: 9*64=576, Resulting Numbers: [6, 576]
Generated Node #3: [6, 576] from Operation: 9*64=576
Current State: 96:[6, 576], Operations: ['26-20=6', '9*64=576']
Exploring Operation: 576/6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[20, 26, 9, 64], Operations: []
Exploring Operation: 64-26=38, Resulting Numbers: [20, 9, 38]
Generated Node #0,0: 96:[20, 9, 38] Operation: 64-26=38
Exploring Operation: 26+64=90, Resulting Numbers: [20, 9, 90]
Generated Node #0,1: 96:[20, 9, 90] Operation: 26+64=90
Exploring Operation: 64-20=44, Resulting Numbers: [26, 9, 44]
Generated Node #0,2: 96:[26, 9, 44] Operation: 64-20=44
Exploring Operation: 20+64=84, Resulting Numbers: [26, 9, 84]
Generated Node #0,3: 96:[26, 9, 84] Operation: 20+64=84
Exploring Operation: 64-9=55, Resulting Numbers: [20, 26, 55]
Generated Node #0,4: 96:[20, 26, 55] Operation: 64-9=55
Moving to Node #0,2
Current State: 96:[26, 9, 44], Operations: ['64-20=44']
Exploring Operation: 44-9=35, Resulting Numbers: [26, 35]
Generated Node #0,2,0: 96:[26, 35] Operation: 44-9=35
Exploring Operation: 26-9=17, Resulting Numbers: [44, 17]
Generated Node #0,2,1: 96:[44, 17] Operation: 26-9=17
Exploring Operation: 9+44=53, Resulting Numbers: [26, 53]
Generated Node #0,2,2: 96:[26, 53] Operation: 9+44=53
Exploring Operation: 26+9=35, Resulting Numbers: [44, 35]
Generated Node #0,2,3: 96:[44, 35] Operation: 26+9=35
Exploring Operation: 44-26=18, Resulting Numbers: [9, 18]
Generated Node #0,2,4: 96:[9, 18] Operation: 44-26=18
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 96:[9, 18], Operations: ['64-20=44', '44-26=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[26, 35], Operations: ['64-20=44', '44-9=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 26*35=910, Resulting Numbers: [910]
910,96 unequal: No Solution
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 96:[44, 17], Operations: ['64-20=44', '26-9=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 44*17=748, Resulting Numbers: [748]
748,96 unequal: No Solution
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 96:[26, 53], Operations: ['64-20=44', '9+44=53']
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,96 unequal: No Solution
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 96:[44, 35], Operations: ['64-20=44', '26+9=35']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,96 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: 96:[20, 9, 90], Operations: ['26+64=90']
Exploring Operation: 20+9=29, Resulting Numbers: [90, 29]
Generated Node #0,1,0: 96:[90, 29] Operation: 20+9=29
Exploring Operation: 9+90=99, Resulting Numbers: [20, 99]
Generated Node #0,1,1: 96:[20, 99] Operation: 9+90=99
Exploring Operation: 20+90=110, Resulting Numbers: [9, 110]
Generated Node #0,1,2: 96:[9, 110] Operation: 20+90=110
Exploring Operation: 90/9=10, Resulting Numbers: [20, 10]
Generated Node #0,1,3: 96:[20, 10] Operation: 90/9=10
Exploring Operation: 20-9=11, Resulting Numbers: [90, 11]
Generated Node #0,1,4: 96:[90, 11] Operation: 20-9=11
Moving to Node #0,0
Current State: 96:[20, 9, 38], Operations: ['64-26=38']
Exploring Operation: 38-9=29, Resulting Numbers: [20, 29]
Generated Node #0,0,0: 96:[20, 29] Operation: 38-9=29
Exploring Operation: 20-9=11, Resulting Numbers: [38, 11]
Generated Node #0,0,1: 96:[38, 11] Operation: 20-9=11
Exploring Operation: 9+38=47, Resulting Numbers: [20, 47]
Generated Node #0,0,2: 96:[20, 47] Operation: 9+38=47
Exploring Operation: 38-20=18, Resulting Numbers: [9, 18]
Generated Node #0,0,3: 96:[9, 18] Operation: 38-20=18
Exploring Operation: 20+9=29, Resulting Numbers: [38, 29]
Generated Node #0,0,4: 96:[38, 29] Operation: 20+9=29
Moving to Node #0,4
Current State: 96:[20, 26, 55], Operations: ['64-9=55']
Exploring Operation: 26-20=6, Resulting Numbers: [55, 6]
Generated Node #0,4,0: 96:[55, 6] Operation: 26-20=6
Exploring Operation: 55-20=35, Resulting Numbers: [26, 35]
Generated Node #0,4,1: 96:[26, 35] Operation: 55-20=35
Exploring Operation: 55-26=29, Resulting Numbers: [20, 29]
Generated Node #0,4,2: 96:[20, 29] Operation: 55-26=29
Exploring Operation: 20+26=46, Resulting Numbers: [55, 46]
Generated Node #0,4,3: 96:[55, 46] Operation: 20+26=46
Exploring Operation: 26+55=81, Resulting Numbers: [20, 81]
Generated Node #0,4,4: 96:[20, 81] Operation: 26+55=81
Moving to Node #0,3
Current State: 96:[26, 9, 84], Operations: ['20+64=84']
Exploring Operation: 9+84=93, Resulting Numbers: [26, 93]
Generated Node #0,3,0: 96:[26, 93] Operation: 9+84=93
Exploring Operation: 26+84=110, Resulting Numbers: [9, 110]
Generated Node #0,3,1: 96:[9, 110] Operation: 26+84=110
Exploring Operation: 26+9=35, Resulting Numbers: [84, 35]
Generated Node #0,3,2: 96:[84, 35] Operation: 26+9=35
Exploring Operation: 84-26=58, Resulting Numbers: [9, 58]
Generated Node #0,3,3: 96:[9, 58] Operation: 84-26=58
Exploring Operation: 26-9=17, Resulting Numbers: [84, 17]
Generated Node #0,3,4: 96:[84, 17] Operation: 26-9=17
Moving to Node #0,0,3
Current State: 96:[9, 18], Operations: ['64-26=38', '38-20=18']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,96 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[20, 47], Operations: ['64-26=38', '9+38=47']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 20+47=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 20*47=940, Resulting Numbers: [940]
940,96 unequal: No Solution
Moving to Node #0,4,1
Current State: 96:[26, 35], Operations: ['64-9=55', '55-20=35']
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 26*35=910, Resulting Numbers: [910]
910,96 unequal: No Solution
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Moving to Node #0,3,0
Current State: 96:[26, 93], Operations: ['20+64=84', '9+84=93']
Exploring Operation: 26*93=2418, Resulting Numbers: [2418]
2418,96 unequal: No Solution
Exploring Operation: 26+93=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[20, 10], Operations: ['26+64=90', '90/9=10']
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,96 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,96 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,96 unequal: No Solution
Moving to Node #0,1,4
Current State: 96:[90, 11], Operations: ['26+64=90', '20-9=11']
Exploring Operation: 90+11=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 90*11=990, Resulting Numbers: [990]
990,96 unequal: No Solution
Exploring Operation: 90-11=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Moving to Node #0,4,2
Current State: 96:[20, 29], Operations: ['64-9=55', '55-26=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,96 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Moving to Node #0,4,0
Current State: 96:[55, 6], Operations: ['64-9=55', '26-20=6']
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,96 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[20, 99], Operations: ['26+64=90', '9+90=99']
Exploring Operation: 20+99=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 20*99=1980, Resulting Numbers: [1980]
1980,96 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[38, 11], Operations: ['64-26=38', '20-9=11']
Exploring Operation: 38+11=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 38*11=418, Resulting Numbers: [418]
418,96 unequal: No Solution
Exploring Operation: 38-11=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[20, 29], Operations: ['64-26=38', '38-9=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,96 unequal: No Solution
Moving to Node #0,4,3
Current State: 96:[55, 46], Operations: ['64-9=55', '20+26=46']
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,96 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[90, 29], Operations: ['26+64=90', '20+9=29']
Exploring Operation: 90+29=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 90*29=2610, Resulting Numbers: [2610]
2610,96 unequal: No Solution
Moving to Node #0,0,4
Current State: 96:[38, 29], Operations: ['64-26=38', '20+9=29']
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,96 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[9, 58], Operations: ['20+64=84', '84-26=58']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,96 unequal: No Solution
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Moving to Node #0,3,4
Current State: 96:[84, 17], Operations: ['20+64=84', '26-9=17']
Exploring Operation: 84+17=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 84-17=67, Resulting Numbers: [67]
67,96 unequal: No Solution
Exploring Operation: 84*17=1428, Resulting Numbers: [1428]
1428,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[9, 110], Operations: ['20+64=84', '26+84=110']
Exploring Operation: 110-9=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 9+110=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 9*110=990, Resulting Numbers: [990]
990,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[84, 35], Operations: ['20+64=84', '26+9=35']
Exploring Operation: 84*35=2940, Resulting Numbers: [2940]
2940,96 unequal: No Solution
Exploring Operation: 84+35=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[9, 110], Operations: ['26+64=90', '20+90=110']
Exploring Operation: 110-9=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 9*110=990, Resulting Numbers: [990]
990,96 unequal: No Solution
Exploring Operation: 9+110=119, Resulting Numbers: [119]
119,96 unequal: No Solution
Moving to Node #0,4,4
Current State: 96:[20, 81], Operations: ['64-9=55', '26+55=81']
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 20+81=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 20*81=1620, Resulting Numbers: [1620]
1620,96 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
5,
65,
96,
71
] | 97
|
[
"5+65=70",
"96+71=167",
"167-70=97"
] |
Current State: 97:[5, 65, 96, 71], Operations: []
Exploring Operation: 5+65=70, Resulting Numbers: [96, 71, 70]
Generated Node #2: [96, 71, 70] from Operation: 5+65=70
Current State: 97:[96, 71, 70], Operations: ['5+65=70']
Exploring Operation: 96+71=167, Resulting Numbers: [70, 167]
Generated Node #3: [70, 167] from Operation: 96+71=167
Current State: 97:[70, 167], Operations: ['5+65=70', '96+71=167']
Exploring Operation: 167-70=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[5, 65, 96, 71], Operations: []
Exploring Operation: 5+65=70, Resulting Numbers: [96, 71, 70]
Generated Node #0,0: 97:[96, 71, 70] Operation: 5+65=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[96, 71, 70], Operations: ['5+65=70']
Exploring Operation: 71+70=141, Resulting Numbers: [96, 141]
Generated Node #0,0,0: 97:[96, 141] Operation: 71+70=141
Moving to Node #0,0,0
Current State: 97:[96, 141], Operations: ['5+65=70', '71+70=141']
Exploring Operation: 141-96=45, Resulting Numbers: [45]
45,97 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
|
[
63,
18,
18,
24
] | 60
|
[
"63-18=45",
"24*45=1080",
"1080/18=60"
] |
Current State: 60:[63, 18, 18, 24], Operations: []
Exploring Operation: 63-18=45, Resulting Numbers: [24, 45]
Generated Node #2: [24, 45] from Operation: 63-18=45
Current State: 60:[24, 45], Operations: ['63-18=45']
Exploring Operation: 24*45=1080, Resulting Numbers: [1080]
1080,60 equal: Goal Reached
Exploring Operation: 1080/18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
Current State: 60:[63, 18, 18, 24], Operations: []
Exploring Operation: 18/18=1, Resulting Numbers: [63, 24, 1]
Generated Node #0,0: 60:[63, 24, 1] Operation: 18/18=1
Exploring Operation: 24-18=6, Resulting Numbers: [63, 18, 6]
Generated Node #0,1: 60:[63, 18, 6] Operation: 24-18=6
Exploring Operation: 24-18=6, Resulting Numbers: [63, 18, 6]
Generated Node #0,2: 60:[63, 18, 6] Operation: 24-18=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[63, 18, 6], Operations: ['24-18=6']
Exploring Operation: 63-6=57, Resulting Numbers: [18, 57]
Generated Node #0,1,0: 60:[18, 57] Operation: 63-6=57
Exploring Operation: 18-6=12, Resulting Numbers: [63, 12]
Generated Node #0,1,1: 60:[63, 12] Operation: 18-6=12
Exploring Operation: 18/6=3, Resulting Numbers: [63, 3]
Generated Node #0,1,2: 60:[63, 3] Operation: 18/6=3
Moving to Node #0,1,1
Current State: 60:[63, 12], Operations: ['24-18=6', '18-6=12']
Exploring Operation: 63*12=756, Resulting Numbers: [756]
756,60 unequal: No Solution
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,60 unequal: No Solution
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[63, 3], Operations: ['24-18=6', '18/6=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[63, 18, 18, 24], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [63, 18, 6]
Generated Node #0,1: 60:[63, 18, 6] Operation: 24-18=6
Moving to Node #0,1
Current State: 60:[63, 18, 6], Operations: ['24-18=6']
Exploring Operation: 18/6=3, Resulting Numbers: [63, 3]
Generated Node #0,1,2: 60:[63, 3] Operation: 18/6=3
Moving to Node #0,1,2
Current State: 60:[63, 3], Operations: ['24-18=6', '18/6=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_3
|
mult_heuristic
|
[
11,
33,
68,
9
] | 74
|
[
"33/11=3",
"68+9=77",
"77-3=74"
] |
Current State: 74:[11, 33, 68, 9], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [68, 9, 3]
Generated Node #2: [68, 9, 3] from Operation: 33/11=3
Current State: 74:[68, 9, 3], Operations: ['33/11=3']
Exploring Operation: 68+9=77, Resulting Numbers: [3, 77]
Generated Node #3: [3, 77] from Operation: 68+9=77
Current State: 74:[3, 77], Operations: ['33/11=3', '68+9=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[11, 33, 68, 9], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [68, 9, 3]
Generated Node #0,0: 74:[68, 9, 3] Operation: 33/11=3
Exploring Operation: 11-9=2, Resulting Numbers: [33, 68, 2]
Generated Node #0,1: 74:[33, 68, 2] Operation: 11-9=2
Exploring Operation: 11+68=79, Resulting Numbers: [33, 9, 79]
Generated Node #0,2: 74:[33, 9, 79] Operation: 11+68=79
Moving to Node #0,1
Current State: 74:[33, 68, 2], Operations: ['11-9=2']
Exploring Operation: 68-33=35, Resulting Numbers: [2, 35]
Generated Node #0,1,0: 74:[2, 35] Operation: 68-33=35
Exploring Operation: 68/2=34, Resulting Numbers: [33, 34]
Generated Node #0,1,1: 74:[33, 34] Operation: 68/2=34
Exploring Operation: 33+2=35, Resulting Numbers: [68, 35]
Generated Node #0,1,2: 74:[68, 35] Operation: 33+2=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[2, 35], Operations: ['11-9=2', '68-33=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,74 unequal: No Solution
No 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: 74:[33, 34], Operations: ['11-9=2', '68/2=34']
Exploring Operation: 33+34=67, Resulting Numbers: [67]
67,74 unequal: No Solution
Exploring Operation: 33*34=1122, Resulting Numbers: [1122]
1122,74 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,74 unequal: No Solution
No 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: 74:[68, 35], Operations: ['11-9=2', '33+2=35']
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,74 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,74 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: 74:[68, 9, 3], Operations: ['33/11=3']
Exploring Operation: 68+3=71, Resulting Numbers: [9, 71]
Generated Node #0,0,0: 74:[9, 71] Operation: 68+3=71
Exploring Operation: 68+9=77, Resulting Numbers: [3, 77]
Generated Node #0,0,1: 74:[3, 77] Operation: 68+9=77
Exploring Operation: 9/3=3, Resulting Numbers: [68, 3]
Generated Node #0,0,2: 74:[68, 3] Operation: 9/3=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[3, 77], Operations: ['33/11=3', '68+9=77']
Exploring Operation: 3+77=80, Resulting Numbers: [80]
80,74 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[11, 33, 68, 9], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [68, 9, 3]
Generated Node #0,0: 74:[68, 9, 3] Operation: 33/11=3
Moving to Node #0,0
Current State: 74:[68, 9, 3], Operations: ['33/11=3']
Exploring Operation: 68+9=77, Resulting Numbers: [3, 77]
Generated Node #0,0,1: 74:[3, 77] Operation: 68+9=77
Moving to Node #0,0,1
Current State: 74:[3, 77], Operations: ['33/11=3', '68+9=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167
|
hs_3
|
sum_heuristic
|
[
65,
77,
89,
10
] | 78
|
[
"89-77=12",
"65*12=780",
"780/10=78"
] |
Current State: 78:[65, 77, 89, 10], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [65, 10, 12]
Generated Node #2: [65, 10, 12] from Operation: 89-77=12
Current State: 78:[65, 10, 12], Operations: ['89-77=12']
Exploring Operation: 65*12=780, Resulting Numbers: [10, 780]
Generated Node #3: [10, 780] from Operation: 65*12=780
Current State: 78:[10, 780], Operations: ['89-77=12', '65*12=780']
Exploring Operation: 780/10=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[65, 77, 89, 10], Operations: []
Exploring Operation: 89-10=79, Resulting Numbers: [65, 77, 79]
Generated Node #0,0: 78:[65, 77, 79] Operation: 89-10=79
Exploring Operation: 89-77=12, Resulting Numbers: [65, 10, 12]
Generated Node #0,1: 78:[65, 10, 12] Operation: 89-77=12
Exploring Operation: 89-65=24, Resulting Numbers: [77, 10, 24]
Generated Node #0,2: 78:[77, 10, 24] Operation: 89-65=24
Exploring Operation: 65+10=75, Resulting Numbers: [77, 89, 75]
Generated Node #0,3: 78:[77, 89, 75] Operation: 65+10=75
Exploring Operation: 77-65=12, Resulting Numbers: [89, 10, 12]
Generated Node #0,4: 78:[89, 10, 12] Operation: 77-65=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[77, 10, 24], Operations: ['89-65=24']
Exploring Operation: 77-24=53, Resulting Numbers: [10, 53]
Generated Node #0,2,0: 78:[10, 53] Operation: 77-24=53
Exploring Operation: 77+10=87, Resulting Numbers: [24, 87]
Generated Node #0,2,1: 78:[24, 87] Operation: 77+10=87
Exploring Operation: 10+24=34, Resulting Numbers: [77, 34]
Generated Node #0,2,2: 78:[77, 34] Operation: 10+24=34
Exploring Operation: 77-10=67, Resulting Numbers: [24, 67]
Generated Node #0,2,3: 78:[24, 67] Operation: 77-10=67
Exploring Operation: 24-10=14, Resulting Numbers: [77, 14]
Generated Node #0,2,4: 78:[77, 14] Operation: 24-10=14
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 78:[77, 14], Operations: ['89-65=24', '24-10=14']
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,78 unequal: No Solution
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,78 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: 78:[77, 34], Operations: ['89-65=24', '10+24=34']
Exploring Operation: 77*34=2618, Resulting Numbers: [2618]
2618,78 unequal: No Solution
Exploring Operation: 77+34=111, Resulting Numbers: [111]
111,78 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,78 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: 78:[24, 87], Operations: ['89-65=24', '77+10=87']
Exploring Operation: 24*87=2088, Resulting Numbers: [2088]
2088,78 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 24+87=111, Resulting Numbers: [111]
111,78 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: 78:[24, 67], Operations: ['89-65=24', '77-10=67']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 24*67=1608, Resulting Numbers: [1608]
1608,78 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: 78:[10, 53], Operations: ['89-65=24', '77-24=53']
Exploring Operation: 10*53=530, Resulting Numbers: [530]
530,78 unequal: No Solution
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,78 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: 78:[65, 77, 79], Operations: ['89-10=79']
Exploring Operation: 65+79=144, Resulting Numbers: [77, 144]
Generated Node #0,0,0: 78:[77, 144] Operation: 65+79=144
Exploring Operation: 79-65=14, Resulting Numbers: [77, 14]
Generated Node #0,0,1: 78:[77, 14] Operation: 79-65=14
Exploring Operation: 79-77=2, Resulting Numbers: [65, 2]
Generated Node #0,0,2: 78:[65, 2] Operation: 79-77=2
Exploring Operation: 65+77=142, Resulting Numbers: [79, 142]
Generated Node #0,0,3: 78:[79, 142] Operation: 65+77=142
Exploring Operation: 77-65=12, Resulting Numbers: [79, 12]
Generated Node #0,0,4: 78:[79, 12] Operation: 77-65=12
Moving to Node #0,0,1
Current State: 78:[77, 14], Operations: ['89-10=79', '79-65=14']
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,78 unequal: No Solution
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[79, 12], Operations: ['89-10=79', '77-65=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,78 unequal: No Solution
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[65, 2], Operations: ['89-10=79', '79-77=2']
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,78 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,0,3
Current State: 78:[79, 142], Operations: ['89-10=79', '65+77=142']
Exploring Operation: 142-79=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 79+142=221, Resulting Numbers: [221]
221,78 unequal: No Solution
Exploring Operation: 79*142=11218, Resulting Numbers: [11218]
11218,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[77, 144], Operations: ['89-10=79', '65+79=144']
Exploring Operation: 144-77=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 77*144=11088, Resulting Numbers: [11088]
11088,78 unequal: No Solution
Exploring Operation: 77+144=221, Resulting Numbers: [221]
221,78 unequal: No Solution
No 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: 78:[77, 89, 75], Operations: ['65+10=75']
Exploring Operation: 77-75=2, Resulting Numbers: [89, 2]
Generated Node #0,3,0: 78:[89, 2] Operation: 77-75=2
Exploring Operation: 89-75=14, Resulting Numbers: [77, 14]
Generated Node #0,3,1: 78:[77, 14] Operation: 89-75=14
Exploring Operation: 89-77=12, Resulting Numbers: [75, 12]
Generated Node #0,3,2: 78:[75, 12] Operation: 89-77=12
Exploring Operation: 89+75=164, Resulting Numbers: [77, 164]
Generated Node #0,3,3: 78:[77, 164] Operation: 89+75=164
Exploring Operation: 77+75=152, Resulting Numbers: [89, 152]
Generated Node #0,3,4: 78:[89, 152] Operation: 77+75=152
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 78:[77, 14], Operations: ['65+10=75', '89-75=14']
Exploring Operation: 77+14=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 77*14=1078, Resulting Numbers: [1078]
1078,78 unequal: No Solution
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,78 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: 78:[75, 12], Operations: ['65+10=75', '89-77=12']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 75+12=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Exploring Operation: 75*12=900, Resulting Numbers: [900]
900,78 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: 78:[89, 2], Operations: ['65+10=75', '77-75=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,78 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: 78:[89, 152], Operations: ['65+10=75', '77+75=152']
Exploring Operation: 89+152=241, Resulting Numbers: [241]
241,78 unequal: No Solution
Exploring Operation: 89*152=13528, Resulting Numbers: [13528]
13528,78 unequal: No Solution
Exploring Operation: 152-89=63, Resulting Numbers: [63]
63,78 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: 78:[77, 164], Operations: ['65+10=75', '89+75=164']
Exploring Operation: 77+164=241, Resulting Numbers: [241]
241,78 unequal: No Solution
Exploring Operation: 164-77=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Exploring Operation: 77*164=12628, Resulting Numbers: [12628]
12628,78 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: 78:[89, 10, 12], Operations: ['77-65=12']
Exploring Operation: 89+10=99, Resulting Numbers: [12, 99]
Generated Node #0,4,0: 78:[12, 99] Operation: 89+10=99
Exploring Operation: 12-10=2, Resulting Numbers: [89, 2]
Generated Node #0,4,1: 78:[89, 2] Operation: 12-10=2
Exploring Operation: 89-10=79, Resulting Numbers: [12, 79]
Generated Node #0,4,2: 78:[12, 79] Operation: 89-10=79
Exploring Operation: 89-12=77, Resulting Numbers: [10, 77]
Generated Node #0,4,3: 78:[10, 77] Operation: 89-12=77
Exploring Operation: 10+12=22, Resulting Numbers: [89, 22]
Generated Node #0,4,4: 78:[89, 22] Operation: 10+12=22
Moving to Node #0,4,2
Current State: 78:[12, 79], Operations: ['77-65=12', '89-10=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,78 unequal: No Solution
Moving to Node #0,4,3
Current State: 78:[10, 77], Operations: ['77-65=12', '89-12=77']
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,78 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,4,1
Current State: 78:[89, 2], Operations: ['77-65=12', '12-10=2']
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,78 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Moving to Node #0,4,4
Current State: 78:[89, 22], Operations: ['77-65=12', '10+12=22']
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,78 unequal: No Solution
Exploring Operation: 89*22=1958, Resulting Numbers: [1958]
1958,78 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,4,0
Current State: 78:[12, 99], Operations: ['77-65=12', '89+10=99']
Exploring Operation: 12*99=1188, Resulting Numbers: [1188]
1188,78 unequal: No Solution
Exploring Operation: 12+99=111, Resulting Numbers: [111]
111,78 unequal: No Solution
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,78 unequal: No Solution
No 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: 78:[65, 10, 12], Operations: ['89-77=12']
Exploring Operation: 65-10=55, Resulting Numbers: [12, 55]
Generated Node #0,1,0: 78:[12, 55] Operation: 65-10=55
Exploring Operation: 65+10=75, Resulting Numbers: [12, 75]
Generated Node #0,1,1: 78:[12, 75] Operation: 65+10=75
Exploring Operation: 12-10=2, Resulting Numbers: [65, 2]
Generated Node #0,1,2: 78:[65, 2] Operation: 12-10=2
Exploring Operation: 65+12=77, Resulting Numbers: [10, 77]
Generated Node #0,1,3: 78:[10, 77] Operation: 65+12=77
Exploring Operation: 65-12=53, Resulting Numbers: [10, 53]
Generated Node #0,1,4: 78:[10, 53] Operation: 65-12=53
Moving to Node #0,1,1
Current State: 78:[12, 75], Operations: ['89-77=12', '65+10=75']
Exploring Operation: 12*75=900, Resulting Numbers: [900]
900,78 unequal: No Solution
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[10, 77], Operations: ['89-77=12', '65+12=77']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,78 unequal: No Solution
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[65, 2], Operations: ['89-77=12', '12-10=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,78 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[12, 55], Operations: ['89-77=12', '65-10=55']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,78 unequal: No Solution
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,1,4
Current State: 78:[10, 53], Operations: ['89-77=12', '65-12=53']
Exploring Operation: 10*53=530, Resulting Numbers: [530]
530,78 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,78 unequal: No Solution
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
5,
59,
53,
52
] | 12
|
[
"59+53=112",
"112-52=60",
"60/5=12"
] |
Current State: 12:[5, 59, 53, 52], Operations: []
Exploring Operation: 59+53=112, Resulting Numbers: [5, 52, 112]
Generated Node #2: [5, 52, 112] from Operation: 59+53=112
Current State: 12:[5, 52, 112], Operations: ['59+53=112']
Exploring Operation: 112-52=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 112-52=60
Current State: 12:[5, 60], Operations: ['59+53=112', '112-52=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[5, 59, 53, 52], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [53, 52, 54]
Generated Node #0,0: 12:[53, 52, 54] Operation: 59-5=54
Exploring Operation: 59-53=6, Resulting Numbers: [5, 52, 6]
Generated Node #0,1: 12:[5, 52, 6] Operation: 59-53=6
Exploring Operation: 59-52=7, Resulting Numbers: [5, 53, 7]
Generated Node #0,2: 12:[5, 53, 7] Operation: 59-52=7
Exploring Operation: 53-52=1, Resulting Numbers: [5, 59, 1]
Generated Node #0,3: 12:[5, 59, 1] Operation: 53-52=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[5, 52, 6], Operations: ['59-53=6']
Exploring Operation: 5+6=11, Resulting Numbers: [52, 11]
Generated Node #0,1,0: 12:[52, 11] Operation: 5+6=11
Exploring Operation: 6-5=1, Resulting Numbers: [52, 1]
Generated Node #0,1,1: 12:[52, 1] Operation: 6-5=1
Exploring Operation: 52-6=46, Resulting Numbers: [5, 46]
Generated Node #0,1,2: 12:[5, 46] Operation: 52-6=46
Exploring Operation: 52-5=47, Resulting Numbers: [6, 47]
Generated Node #0,1,3: 12:[6, 47] Operation: 52-5=47
Moving to Node #0,1,2
Current State: 12:[5, 46], Operations: ['59-53=6', '52-6=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,12 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[6, 47], Operations: ['59-53=6', '52-5=47']
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,12 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[52, 1], Operations: ['59-53=6', '6-5=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,12 unequal: No Solution
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,12 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[52, 11], Operations: ['59-53=6', '5+6=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 52*11=572, Resulting Numbers: [572]
572,12 unequal: No Solution
Exploring Operation: 52+11=63, Resulting Numbers: [63]
63,12 unequal: No Solution
No 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: 12:[5, 53, 7], Operations: ['59-52=7']
Exploring Operation: 53-5=48, Resulting Numbers: [7, 48]
Generated Node #0,2,0: 12:[7, 48] Operation: 53-5=48
Exploring Operation: 5+7=12, Resulting Numbers: [53, 12]
Generated Node #0,2,1: 12:[53, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [53, 2]
Generated Node #0,2,2: 12:[53, 2] Operation: 7-5=2
Exploring Operation: 53-7=46, Resulting Numbers: [5, 46]
Generated Node #0,2,3: 12:[5, 46] Operation: 53-7=46
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 12:[5, 46], Operations: ['59-52=7', '53-7=46']
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,12 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,12 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: 12:[7, 48], Operations: ['59-52=7', '53-5=48']
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,12 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,12 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,12 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: 12:[53, 12], Operations: ['59-52=7', '5+7=12']
Exploring Operation: 53*12=636, Resulting Numbers: [636]
636,12 unequal: No Solution
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,12 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: 12:[53, 2], Operations: ['59-52=7', '7-5=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,12 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: 12:[5, 59, 1], Operations: ['53-52=1']
Exploring Operation: 59-1=58, Resulting Numbers: [5, 58]
Generated Node #0,3,0: 12:[5, 58] Operation: 59-1=58
Exploring Operation: 59-5=54, Resulting Numbers: [1, 54]
Generated Node #0,3,1: 12:[1, 54] Operation: 59-5=54
Exploring Operation: 5-1=4, Resulting Numbers: [59, 4]
Generated Node #0,3,2: 12:[59, 4] Operation: 5-1=4
Exploring Operation: 5+1=6, Resulting Numbers: [59, 6]
Generated Node #0,3,3: 12:[59, 6] Operation: 5+1=6
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 12:[1, 54], Operations: ['53-52=1', '59-5=54']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,12 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: 12:[5, 58], Operations: ['53-52=1', '59-1=58']
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,12 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: 12:[59, 4], Operations: ['53-52=1', '5-1=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,12 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,12 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: 12:[59, 6], Operations: ['53-52=1', '5+1=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,12 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,12 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: 12:[53, 52, 54], Operations: ['59-5=54']
Exploring Operation: 54-53=1, Resulting Numbers: [52, 1]
Generated Node #0,0,0: 12:[52, 1] Operation: 54-53=1
Exploring Operation: 53+52=105, Resulting Numbers: [54, 105]
Generated Node #0,0,1: 12:[54, 105] Operation: 53+52=105
Exploring Operation: 53-52=1, Resulting Numbers: [54, 1]
Generated Node #0,0,2: 12:[54, 1] Operation: 53-52=1
Exploring Operation: 54-52=2, Resulting Numbers: [53, 2]
Generated Node #0,0,3: 12:[53, 2] Operation: 54-52=2
Moving to Node #0,0,0
Current State: 12:[52, 1], Operations: ['59-5=54', '54-53=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,12 unequal: No Solution
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[53, 2], Operations: ['59-5=54', '54-52=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 53*2=106, Resulting Numbers: [106]
106,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[54, 1], Operations: ['59-5=54', '53-52=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[54, 105], Operations: ['59-5=54', '53+52=105']
Exploring Operation: 54*105=5670, Resulting Numbers: [5670]
5670,12 unequal: No Solution
Exploring Operation: 54+105=159, Resulting Numbers: [159]
159,12 unequal: No Solution
Exploring Operation: 105-54=51, Resulting Numbers: [51]
51,12 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
|
[
35,
87,
32,
31
] | 60
|
[
"35-32=3",
"87/3=29",
"31+29=60"
] |
Current State: 60:[35, 87, 32, 31], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [87, 31, 3]
Generated Node #2: [87, 31, 3] from Operation: 35-32=3
Current State: 60:[87, 31, 3], Operations: ['35-32=3']
Exploring Operation: 87/3=29, Resulting Numbers: [31, 29]
Generated Node #3: [31, 29] from Operation: 87/3=29
Current State: 60:[31, 29], Operations: ['35-32=3', '87/3=29']
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
Current State: 60:[35, 87, 32, 31], Operations: []
Exploring Operation: 87-32=55, Resulting Numbers: [35, 31, 55]
Generated Node #0,0: 60:[35, 31, 55] Operation: 87-32=55
Exploring Operation: 87-35=52, Resulting Numbers: [32, 31, 52]
Generated Node #0,1: 60:[32, 31, 52] Operation: 87-35=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[35, 31, 55], Operations: ['87-32=55']
Exploring Operation: 55-35=20, Resulting Numbers: [31, 20]
Generated Node #0,0,0: 60:[31, 20] Operation: 55-35=20
Exploring Operation: 35-31=4, Resulting Numbers: [55, 4]
Generated Node #0,0,1: 60:[55, 4] Operation: 35-31=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[31, 20], Operations: ['87-32=55', '55-35=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,60 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: 60:[55, 4], Operations: ['87-32=55', '35-31=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,60 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: 60:[32, 31, 52], Operations: ['87-35=52']
Exploring Operation: 52-31=21, Resulting Numbers: [32, 21]
Generated Node #0,1,0: 60:[32, 21] Operation: 52-31=21
Exploring Operation: 52-32=20, Resulting Numbers: [31, 20]
Generated Node #0,1,1: 60:[31, 20] Operation: 52-32=20
Moving to Node #0,1,1
Current State: 60:[31, 20], Operations: ['87-35=52', '52-32=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[32, 21], Operations: ['87-35=52', '52-31=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,60 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
|
[
96,
36,
49,
32
] | 73
|
[
"36-32=4",
"96/4=24",
"49+24=73"
] |
Current State: 73:[96, 36, 49, 32], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [96, 49, 4]
Generated Node #2: [96, 49, 4] from Operation: 36-32=4
Current State: 73:[96, 49, 4], Operations: ['36-32=4']
Exploring Operation: 96/4=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 96/4=24
Current State: 73:[49, 24], Operations: ['36-32=4', '96/4=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[96, 36, 49, 32], Operations: []
Exploring Operation: 36+32=68, Resulting Numbers: [96, 49, 68]
Generated Node #0,0: 73:[96, 49, 68] Operation: 36+32=68
Moving to Node #0,0
Current State: 73:[96, 49, 68], Operations: ['36+32=68']
Exploring Operation: 96-49=47, Resulting Numbers: [68, 47]
Generated Node #0,0,0: 73:[68, 47] Operation: 96-49=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[68, 47], Operations: ['36+32=68', '96-49=47']
Exploring Operation: 68+47=115, Resulting Numbers: [115]
115,73 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
|
[
67,
2,
65,
46
] | 46
|
[
"67-2=65",
"65+46=111",
"111-65=46"
] |
Current State: 46:[67, 2, 65, 46], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [65, 46, 65]
Generated Node #2: [65, 46, 65] from Operation: 67-2=65
Current State: 46:[65, 46, 65], Operations: ['67-2=65']
Exploring Operation: 65+46=111, Resulting Numbers: [111]
111,46 equal: Goal Reached
Exploring Operation: 111-65=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[67, 2, 65, 46], Operations: []
Exploring Operation: 67-2=65, Resulting Numbers: [65, 46, 65]
Generated Node #0,0: 46:[65, 46, 65] Operation: 67-2=65
Exploring Operation: 67-46=21, Resulting Numbers: [2, 65, 21]
Generated Node #0,1: 46:[2, 65, 21] Operation: 67-46=21
Exploring Operation: 65-2=63, Resulting Numbers: [67, 46, 63]
Generated Node #0,2: 46:[67, 46, 63] Operation: 65-2=63
Exploring Operation: 65-46=19, Resulting Numbers: [67, 2, 19]
Generated Node #0,3: 46:[67, 2, 19] Operation: 65-46=19
Exploring Operation: 67-65=2, Resulting Numbers: [2, 46, 2]
Generated Node #0,4: 46:[2, 46, 2] Operation: 67-65=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 46:[2, 46, 2], Operations: ['67-65=2']
Exploring Operation: 46/2=23, Resulting Numbers: [2, 23]
Generated Node #0,4,0: 46:[2, 23] Operation: 46/2=23
Exploring Operation: 46-2=44, Resulting Numbers: [2, 44]
Generated Node #0,4,1: 46:[2, 44] Operation: 46-2=44
Exploring Operation: 2/2=1, Resulting Numbers: [46, 1]
Generated Node #0,4,2: 46:[46, 1] Operation: 2/2=1
Exploring Operation: 46/2=23, Resulting Numbers: [2, 23]
Generated Node #0,4,3: 46:[2, 23] Operation: 46/2=23
Exploring Operation: 2+46=48, Resulting Numbers: [2, 48]
Generated Node #0,4,4: 46:[2, 48] Operation: 2+46=48
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 46:[2, 23], Operations: ['67-65=2', '46/2=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[67, 2, 65, 46], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [2, 46, 2]
Generated Node #0,4: 46:[2, 46, 2] Operation: 67-65=2
Moving to Node #0,4
Current State: 46:[2, 46, 2], Operations: ['67-65=2']
Exploring Operation: 46/2=23, Resulting Numbers: [2, 23]
Generated Node #0,4,0: 46:[2, 23] Operation: 46/2=23
Moving to Node #0,4,0
Current State: 46:[2, 23], Operations: ['67-65=2', '46/2=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243
|
hs_5
|
sum_heuristic
|
[
1,
4,
85,
3
] | 74
|
[
"1+85=86",
"4*3=12",
"86-12=74"
] |
Current State: 74:[1, 4, 85, 3], Operations: []
Exploring Operation: 1+85=86, Resulting Numbers: [4, 3, 86]
Generated Node #2: [4, 3, 86] from Operation: 1+85=86
Current State: 74:[4, 3, 86], Operations: ['1+85=86']
Exploring Operation: 4*3=12, Resulting Numbers: [86, 12]
Generated Node #3: [86, 12] from Operation: 4*3=12
Current State: 74:[86, 12], Operations: ['1+85=86', '4*3=12']
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[1, 4, 85, 3], Operations: []
Exploring Operation: 85-3=82, Resulting Numbers: [1, 4, 82]
Generated Node #0,0: 74:[1, 4, 82] Operation: 85-3=82
Exploring Operation: 85-4=81, Resulting Numbers: [1, 3, 81]
Generated Node #0,1: 74:[1, 3, 81] Operation: 85-4=81
Moving to Node #0,1
Current State: 74:[1, 3, 81], Operations: ['85-4=81']
Exploring Operation: 81-3=78, Resulting Numbers: [1, 78]
Generated Node #0,1,0: 74:[1, 78] Operation: 81-3=78
Exploring Operation: 3-1=2, Resulting Numbers: [81, 2]
Generated Node #0,1,1: 74:[81, 2] Operation: 3-1=2
Moving to Node #0,0
Current State: 74:[1, 4, 82], Operations: ['85-3=82']
Exploring Operation: 4-1=3, Resulting Numbers: [82, 3]
Generated Node #0,0,0: 74:[82, 3] Operation: 4-1=3
Exploring Operation: 82-4=78, Resulting Numbers: [1, 78]
Generated Node #0,0,1: 74:[1, 78] Operation: 82-4=78
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[1, 78], Operations: ['85-3=82', '82-4=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,74 unequal: No Solution
No 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: 74:[82, 3], Operations: ['85-3=82', '4-1=3']
Exploring Operation: 82+3=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,74 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: 74:[1, 78], Operations: ['85-4=81', '81-3=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[81, 2], Operations: ['85-4=81', '3-1=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,74 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,74 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
89,
66,
58,
55
] | 67
|
[
"58-55=3",
"66/3=22",
"89-22=67"
] |
Current State: 67:[89, 66, 58, 55], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [89, 66, 3]
Generated Node #2: [89, 66, 3] from Operation: 58-55=3
Current State: 67:[89, 66, 3], Operations: ['58-55=3']
Exploring Operation: 66/3=22, Resulting Numbers: [89, 22]
Generated Node #3: [89, 22] from Operation: 66/3=22
Current State: 67:[89, 22], Operations: ['58-55=3', '66/3=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[89, 66, 58, 55], Operations: []
Exploring Operation: 58+55=113, Resulting Numbers: [89, 66, 113]
Generated Node #0,0: 67:[89, 66, 113] Operation: 58+55=113
Exploring Operation: 89-66=23, Resulting Numbers: [58, 55, 23]
Generated Node #0,1: 67:[58, 55, 23] Operation: 89-66=23
Exploring Operation: 89-55=34, Resulting Numbers: [66, 58, 34]
Generated Node #0,2: 67:[66, 58, 34] Operation: 89-55=34
Exploring Operation: 89-58=31, Resulting Numbers: [66, 55, 31]
Generated Node #0,3: 67:[66, 55, 31] Operation: 89-58=31
Moving to Node #0,2
Current State: 67:[66, 58, 34], Operations: ['89-55=34']
Exploring Operation: 66-34=32, Resulting Numbers: [58, 32]
Generated Node #0,2,0: 67:[58, 32] Operation: 66-34=32
Exploring Operation: 58+34=92, Resulting Numbers: [66, 92]
Generated Node #0,2,1: 67:[66, 92] Operation: 58+34=92
Exploring Operation: 58-34=24, Resulting Numbers: [66, 24]
Generated Node #0,2,2: 67:[66, 24] Operation: 58-34=24
Exploring Operation: 66+34=100, Resulting Numbers: [58, 100]
Generated Node #0,2,3: 67:[58, 100] Operation: 66+34=100
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[66, 92], Operations: ['89-55=34', '58+34=92']
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 66+92=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Exploring Operation: 66*92=6072, Resulting Numbers: [6072]
6072,67 unequal: No Solution
No 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: 67:[58, 100], Operations: ['89-55=34', '66+34=100']
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,67 unequal: No Solution
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,67 unequal: No Solution
No 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: 67:[58, 32], Operations: ['89-55=34', '66-34=32']
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,67 unequal: No Solution
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,67 unequal: No Solution
No 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: 67:[66, 24], Operations: ['89-55=34', '58-34=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,67 unequal: No Solution
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,67 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: 67:[66, 55, 31], Operations: ['89-58=31']
Exploring Operation: 55-31=24, Resulting Numbers: [66, 24]
Generated Node #0,3,0: 67:[66, 24] Operation: 55-31=24
Exploring Operation: 66-31=35, Resulting Numbers: [55, 35]
Generated Node #0,3,1: 67:[55, 35] Operation: 66-31=35
Exploring Operation: 66+31=97, Resulting Numbers: [55, 97]
Generated Node #0,3,2: 67:[55, 97] Operation: 66+31=97
Exploring Operation: 55+31=86, Resulting Numbers: [66, 86]
Generated Node #0,3,3: 67:[66, 86] Operation: 55+31=86
Moving to Node #0,1
Current State: 67:[58, 55, 23], Operations: ['89-66=23']
Exploring Operation: 55+23=78, Resulting Numbers: [58, 78]
Generated Node #0,1,0: 67:[58, 78] Operation: 55+23=78
Exploring Operation: 58+23=81, Resulting Numbers: [55, 81]
Generated Node #0,1,1: 67:[55, 81] Operation: 58+23=81
Exploring Operation: 55-23=32, Resulting Numbers: [58, 32]
Generated Node #0,1,2: 67:[58, 32] Operation: 55-23=32
Exploring Operation: 58-23=35, Resulting Numbers: [55, 35]
Generated Node #0,1,3: 67:[55, 35] Operation: 58-23=35
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[58, 78], Operations: ['89-66=23', '55+23=78']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 58*78=4524, Resulting Numbers: [4524]
4524,67 unequal: No Solution
Exploring Operation: 58+78=136, Resulting Numbers: [136]
136,67 unequal: No Solution
No 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: 67:[55, 81], Operations: ['89-66=23', '58+23=81']
Exploring Operation: 55+81=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 55*81=4455, Resulting Numbers: [4455]
4455,67 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,67 unequal: No Solution
No 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: 67:[58, 32], Operations: ['89-66=23', '55-23=32']
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,67 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,67 unequal: No Solution
No 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: 67:[55, 35], Operations: ['89-66=23', '58-23=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,67 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,67 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: 67:[89, 66, 113], Operations: ['58+55=113']
Exploring Operation: 113-89=24, Resulting Numbers: [66, 24]
Generated Node #0,0,0: 67:[66, 24] Operation: 113-89=24
Exploring Operation: 113-66=47, Resulting Numbers: [89, 47]
Generated Node #0,0,1: 67:[89, 47] Operation: 113-66=47
Exploring Operation: 89-66=23, Resulting Numbers: [113, 23]
Generated Node #0,0,2: 67:[113, 23] Operation: 89-66=23
Exploring Operation: 89+66=155, Resulting Numbers: [113, 155]
Generated Node #0,0,3: 67:[113, 155] Operation: 89+66=155
Moving to Node #0,3,3
Current State: 67:[66, 86], Operations: ['89-58=31', '55+31=86']
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 66*86=5676, Resulting Numbers: [5676]
5676,67 unequal: No Solution
Exploring Operation: 66+86=152, Resulting Numbers: [152]
152,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[55, 97], Operations: ['89-58=31', '66+31=97']
Exploring Operation: 55*97=5335, Resulting Numbers: [5335]
5335,67 unequal: No Solution
Exploring Operation: 97-55=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 55+97=152, Resulting Numbers: [152]
152,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[89, 47], Operations: ['58+55=113', '113-66=47']
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 89+47=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 89*47=4183, Resulting Numbers: [4183]
4183,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[66, 24], Operations: ['89-58=31', '55-31=24']
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,67 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[66, 24], Operations: ['58+55=113', '113-89=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 66*24=1584, Resulting Numbers: [1584]
1584,67 unequal: No Solution
Exploring Operation: 66+24=90, Resulting Numbers: [90]
90,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[55, 35], Operations: ['89-58=31', '66-31=35']
Exploring Operation: 55+35=90, Resulting Numbers: [90]
90,67 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 55*35=1925, Resulting Numbers: [1925]
1925,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[113, 23], Operations: ['58+55=113', '89-66=23']
Exploring Operation: 113-23=90, Resulting Numbers: [90]
90,67 unequal: No Solution
Exploring Operation: 113*23=2599, Resulting Numbers: [2599]
2599,67 unequal: No Solution
Exploring Operation: 113+23=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[113, 155], Operations: ['58+55=113', '89+66=155']
Exploring Operation: 155-113=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 113+155=268, Resulting Numbers: [268]
268,67 unequal: No Solution
Exploring Operation: 113*155=17515, Resulting Numbers: [17515]
17515,67 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
39,
78,
7,
52
] | 43
|
[
"78/39=2",
"52-7=45",
"45-2=43"
] |
Current State: 43:[39, 78, 7, 52], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [7, 52, 2]
Generated Node #2: [7, 52, 2] from Operation: 78/39=2
Current State: 43:[7, 52, 2], Operations: ['78/39=2']
Exploring Operation: 52-7=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 52-7=45
Current State: 43:[2, 45], Operations: ['78/39=2', '52-7=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[39, 78, 7, 52], Operations: []
Exploring Operation: 78-7=71, Resulting Numbers: [39, 52, 71]
Generated Node #0,0: 43:[39, 52, 71] Operation: 78-7=71
Exploring Operation: 78-39=39, Resulting Numbers: [7, 52, 39]
Generated Node #0,1: 43:[7, 52, 39] Operation: 78-39=39
Exploring Operation: 52-7=45, Resulting Numbers: [39, 78, 45]
Generated Node #0,2: 43:[39, 78, 45] Operation: 52-7=45
Exploring Operation: 39+7=46, Resulting Numbers: [78, 52, 46]
Generated Node #0,3: 43:[78, 52, 46] Operation: 39+7=46
Exploring Operation: 39-7=32, Resulting Numbers: [78, 52, 32]
Generated Node #0,4: 43:[78, 52, 32] Operation: 39-7=32
Moving to Node #0,0
Current State: 43:[39, 52, 71], Operations: ['78-7=71']
Exploring Operation: 71-52=19, Resulting Numbers: [39, 19]
Generated Node #0,0,0: 43:[39, 19] Operation: 71-52=19
Exploring Operation: 39+52=91, Resulting Numbers: [71, 91]
Generated Node #0,0,1: 43:[71, 91] Operation: 39+52=91
Exploring Operation: 52-39=13, Resulting Numbers: [71, 13]
Generated Node #0,0,2: 43:[71, 13] Operation: 52-39=13
Exploring Operation: 71-39=32, Resulting Numbers: [52, 32]
Generated Node #0,0,3: 43:[52, 32] Operation: 71-39=32
Exploring Operation: 39+71=110, Resulting Numbers: [52, 110]
Generated Node #0,0,4: 43:[52, 110] Operation: 39+71=110
Moving to Node #0,2
Current State: 43:[39, 78, 45], Operations: ['52-7=45']
Exploring Operation: 78-45=33, Resulting Numbers: [39, 33]
Generated Node #0,2,0: 43:[39, 33] Operation: 78-45=33
Exploring Operation: 78-39=39, Resulting Numbers: [45, 39]
Generated Node #0,2,1: 43:[45, 39] Operation: 78-39=39
Exploring Operation: 39+78=117, Resulting Numbers: [45, 117]
Generated Node #0,2,2: 43:[45, 117] Operation: 39+78=117
Exploring Operation: 45-39=6, Resulting Numbers: [78, 6]
Generated Node #0,2,3: 43:[78, 6] Operation: 45-39=6
Exploring Operation: 78/39=2, Resulting Numbers: [45, 2]
Generated Node #0,2,4: 43:[45, 2] Operation: 78/39=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 43:[45, 39], Operations: ['52-7=45', '78-39=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,43 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,43 unequal: No Solution
No 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: 43:[39, 33], Operations: ['52-7=45', '78-45=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,43 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 43:[45, 2], Operations: ['52-7=45', '78/39=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[39, 78, 7, 52], Operations: []
Exploring Operation: 52-7=45, Resulting Numbers: [39, 78, 45]
Generated Node #0,2: 43:[39, 78, 45] Operation: 52-7=45
Moving to Node #0,2
Current State: 43:[39, 78, 45], Operations: ['52-7=45']
Exploring Operation: 78/39=2, Resulting Numbers: [45, 2]
Generated Node #0,2,4: 43:[45, 2] Operation: 78/39=2
Moving to Node #0,2,4
Current State: 43:[45, 2], Operations: ['52-7=45', '78/39=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431
|
hs_5
|
sum_heuristic
|
[
4,
9,
90,
73
] | 12
|
[
"9-4=5",
"90-73=17",
"17-5=12"
] |
Current State: 12:[4, 9, 90, 73], Operations: []
Exploring Operation: 9-4=5, Resulting Numbers: [90, 73, 5]
Generated Node #2: [90, 73, 5] from Operation: 9-4=5
Current State: 12:[90, 73, 5], Operations: ['9-4=5']
Exploring Operation: 90-73=17, Resulting Numbers: [5, 17]
Generated Node #3: [5, 17] from Operation: 90-73=17
Current State: 12:[5, 17], Operations: ['9-4=5', '90-73=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[4, 9, 90, 73], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [4, 73, 10]
Generated Node #0,0: 12:[4, 73, 10] Operation: 90/9=10
Exploring Operation: 90-73=17, Resulting Numbers: [4, 9, 17]
Generated Node #0,1: 12:[4, 9, 17] Operation: 90-73=17
Moving to Node #0,1
Current State: 12:[4, 9, 17], Operations: ['90-73=17']
Exploring Operation: 17-4=13, Resulting Numbers: [9, 13]
Generated Node #0,1,0: 12:[9, 13] Operation: 17-4=13
Exploring Operation: 17-9=8, Resulting Numbers: [4, 8]
Generated Node #0,1,1: 12:[4, 8] Operation: 17-9=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[4, 8], Operations: ['90-73=17', '17-9=8']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[4, 9, 90, 73], Operations: []
Exploring Operation: 90-73=17, Resulting Numbers: [4, 9, 17]
Generated Node #0,1: 12:[4, 9, 17] Operation: 90-73=17
Moving to Node #0,1
Current State: 12:[4, 9, 17], Operations: ['90-73=17']
Exploring Operation: 17-9=8, Resulting Numbers: [4, 8]
Generated Node #0,1,1: 12:[4, 8] Operation: 17-9=8
Moving to Node #0,1,1
Current State: 12:[4, 8], Operations: ['90-73=17', '17-9=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
61,
1,
25,
1
] | 97
|
[
"1+1=2",
"61*2=122",
"122-25=97"
] |
Current State: 97:[61, 1, 25, 1], Operations: []
Exploring Operation: 1+1=2, Resulting Numbers: [61, 25, 2]
Generated Node #2: [61, 25, 2] from Operation: 1+1=2
Current State: 97:[61, 25, 2], Operations: ['1+1=2']
Exploring Operation: 61*2=122, Resulting Numbers: [25, 122]
Generated Node #3: [25, 122] from Operation: 61*2=122
Current State: 97:[25, 122], Operations: ['1+1=2', '61*2=122']
Exploring Operation: 122-25=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[61, 1, 25, 1], Operations: []
Exploring Operation: 61+1=62, Resulting Numbers: [1, 25, 62]
Generated Node #0,0: 97:[1, 25, 62] Operation: 61+1=62
Exploring Operation: 61+25=86, Resulting Numbers: [1, 1, 86]
Generated Node #0,1: 97:[1, 1, 86] Operation: 61+25=86
Exploring Operation: 61+1=62, Resulting Numbers: [25, 1, 62]
Generated Node #0,2: 97:[25, 1, 62] Operation: 61+1=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[1, 25, 62], Operations: ['61+1=62']
Exploring Operation: 1+25=26, Resulting Numbers: [62, 26]
Generated Node #0,0,0: 97:[62, 26] Operation: 1+25=26
Exploring Operation: 1+62=63, Resulting Numbers: [25, 63]
Generated Node #0,0,1: 97:[25, 63] Operation: 1+62=63
Exploring Operation: 25+62=87, Resulting Numbers: [1, 87]
Generated Node #0,0,2: 97:[1, 87] Operation: 25+62=87
Moving to Node #0,0,0
Current State: 97:[62, 26], Operations: ['61+1=62', '1+25=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 62*26=1612, Resulting Numbers: [1612]
1612,97 unequal: No Solution
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[25, 63], Operations: ['61+1=62', '1+62=63']
Exploring Operation: 25*63=1575, Resulting Numbers: [1575]
1575,97 unequal: No Solution
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[1, 87], Operations: ['61+1=62', '25+62=87']
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[1, 1, 86], Operations: ['61+25=86']
Exploring Operation: 1+86=87, Resulting Numbers: [1, 87]
Generated Node #0,1,0: 97:[1, 87] Operation: 1+86=87
Exploring Operation: 1+1=2, Resulting Numbers: [86, 2]
Generated Node #0,1,1: 97:[86, 2] Operation: 1+1=2
Exploring Operation: 1+86=87, Resulting Numbers: [1, 87]
Generated Node #0,1,2: 97:[1, 87] Operation: 1+86=87
Moving to Node #0,1,0
Current State: 97:[1, 87], Operations: ['61+25=86', '1+86=87']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[86, 2], Operations: ['61+25=86', '1+1=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[1, 87], Operations: ['61+25=86', '1+86=87']
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[25, 1, 62], Operations: ['61+1=62']
Exploring Operation: 25+62=87, Resulting Numbers: [1, 87]
Generated Node #0,2,0: 97:[1, 87] Operation: 25+62=87
Exploring Operation: 1+62=63, Resulting Numbers: [25, 63]
Generated Node #0,2,1: 97:[25, 63] Operation: 1+62=63
Exploring Operation: 25+1=26, Resulting Numbers: [62, 26]
Generated Node #0,2,2: 97:[62, 26] Operation: 25+1=26
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[1, 87], Operations: ['61+1=62', '25+62=87']
Exploring Operation: 1+87=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,97 unequal: No Solution
Exploring Operation: 1*87=87, Resulting Numbers: [87]
87,97 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: 97:[25, 63], Operations: ['61+1=62', '1+62=63']
Exploring Operation: 25+63=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 25*63=1575, Resulting Numbers: [1575]
1575,97 unequal: No Solution
Exploring Operation: 63-25=38, Resulting Numbers: [38]
38,97 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: 97:[62, 26], Operations: ['61+1=62', '25+1=26']
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,97 unequal: No Solution
Exploring Operation: 62+26=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 62*26=1612, Resulting Numbers: [1612]
1612,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
75,
66,
15,
64
] | 71
|
[
"75-66=9",
"15*9=135",
"135-64=71"
] |
Current State: 71:[75, 66, 15, 64], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [15, 64, 9]
Generated Node #2: [15, 64, 9] from Operation: 75-66=9
Current State: 71:[15, 64, 9], Operations: ['75-66=9']
Exploring Operation: 15*9=135, Resulting Numbers: [64, 135]
Generated Node #3: [64, 135] from Operation: 15*9=135
Current State: 71:[64, 135], Operations: ['75-66=9', '15*9=135']
Exploring Operation: 135-64=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
Current State: 71:[75, 66, 15, 64], Operations: []
Exploring Operation: 15+64=79, Resulting Numbers: [75, 66, 79]
Generated Node #0,0: 71:[75, 66, 79] Operation: 15+64=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[75, 66, 79], Operations: ['15+64=79']
Exploring Operation: 79-66=13, Resulting Numbers: [75, 13]
Generated Node #0,0,0: 71:[75, 13] Operation: 79-66=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[75, 13], Operations: ['15+64=79', '79-66=13']
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
15,
72,
78,
23
] | 67
|
[
"78-72=6",
"15*6=90",
"90-23=67"
] |
Current State: 67:[15, 72, 78, 23], Operations: []
Exploring Operation: 78-72=6, Resulting Numbers: [15, 23, 6]
Generated Node #2: [15, 23, 6] from Operation: 78-72=6
Current State: 67:[15, 23, 6], Operations: ['78-72=6']
Exploring Operation: 15*6=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 15*6=90
Current State: 67:[23, 90], Operations: ['78-72=6', '15*6=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[15, 72, 78, 23], Operations: []
Exploring Operation: 15+23=38, Resulting Numbers: [72, 78, 38]
Generated Node #0,0: 67:[72, 78, 38] Operation: 15+23=38
Exploring Operation: 72-15=57, Resulting Numbers: [78, 23, 57]
Generated Node #0,1: 67:[78, 23, 57] Operation: 72-15=57
Exploring Operation: 78-15=63, Resulting Numbers: [72, 23, 63]
Generated Node #0,2: 67:[72, 23, 63] Operation: 78-15=63
Exploring Operation: 78-23=55, Resulting Numbers: [15, 72, 55]
Generated Node #0,3: 67:[15, 72, 55] Operation: 78-23=55
Moving to Node #0,0
Current State: 67:[72, 78, 38], Operations: ['15+23=38']
Exploring Operation: 78-38=40, Resulting Numbers: [72, 40]
Generated Node #0,0,0: 67:[72, 40] Operation: 78-38=40
Exploring Operation: 78+38=116, Resulting Numbers: [72, 116]
Generated Node #0,0,1: 67:[72, 116] Operation: 78+38=116
Exploring Operation: 72-38=34, Resulting Numbers: [78, 34]
Generated Node #0,0,2: 67:[78, 34] Operation: 72-38=34
Exploring Operation: 72+38=110, Resulting Numbers: [78, 110]
Generated Node #0,0,3: 67:[78, 110] Operation: 72+38=110
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[72, 40], Operations: ['15+23=38', '78-38=40']
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 72*40=2880, Resulting Numbers: [2880]
2880,67 unequal: No Solution
Exploring Operation: 72+40=112, Resulting Numbers: [112]
112,67 unequal: No Solution
No 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: 67:[78, 34], Operations: ['15+23=38', '72-38=34']
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 78*34=2652, Resulting Numbers: [2652]
2652,67 unequal: No Solution
Exploring Operation: 78+34=112, Resulting Numbers: [112]
112,67 unequal: No Solution
No 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: 67:[72, 116], Operations: ['15+23=38', '78+38=116']
Exploring Operation: 72+116=188, Resulting Numbers: [188]
188,67 unequal: No Solution
Exploring Operation: 72*116=8352, Resulting Numbers: [8352]
8352,67 unequal: No Solution
Exploring Operation: 116-72=44, Resulting Numbers: [44]
44,67 unequal: No Solution
No 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: 67:[78, 110], Operations: ['15+23=38', '72+38=110']
Exploring Operation: 78*110=8580, Resulting Numbers: [8580]
8580,67 unequal: No Solution
Exploring Operation: 110-78=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 78+110=188, Resulting Numbers: [188]
188,67 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: 67:[72, 23, 63], Operations: ['78-15=63']
Exploring Operation: 63-23=40, Resulting Numbers: [72, 40]
Generated Node #0,2,0: 67:[72, 40] Operation: 63-23=40
Exploring Operation: 72-23=49, Resulting Numbers: [63, 49]
Generated Node #0,2,1: 67:[63, 49] Operation: 72-23=49
Exploring Operation: 72+23=95, Resulting Numbers: [63, 95]
Generated Node #0,2,2: 67:[63, 95] Operation: 72+23=95
Exploring Operation: 23+63=86, Resulting Numbers: [72, 86]
Generated Node #0,2,3: 67:[72, 86] Operation: 23+63=86
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[63, 49], Operations: ['78-15=63', '72-23=49']
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,67 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,67 unequal: No Solution
No 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: 67:[72, 86], Operations: ['78-15=63', '23+63=86']
Exploring Operation: 72+86=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Exploring Operation: 72*86=6192, Resulting Numbers: [6192]
6192,67 unequal: No Solution
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,67 unequal: No Solution
No 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: 67:[72, 40], Operations: ['78-15=63', '63-23=40']
Exploring Operation: 72+40=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Exploring Operation: 72*40=2880, Resulting Numbers: [2880]
2880,67 unequal: No Solution
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,67 unequal: No Solution
No 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: 67:[63, 95], Operations: ['78-15=63', '72+23=95']
Exploring Operation: 63+95=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Exploring Operation: 95-63=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 63*95=5985, Resulting Numbers: [5985]
5985,67 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: 67:[78, 23, 57], Operations: ['72-15=57']
Exploring Operation: 78+23=101, Resulting Numbers: [57, 101]
Generated Node #0,1,0: 67:[57, 101] Operation: 78+23=101
Exploring Operation: 78-23=55, Resulting Numbers: [57, 55]
Generated Node #0,1,1: 67:[57, 55] Operation: 78-23=55
Exploring Operation: 23+57=80, Resulting Numbers: [78, 80]
Generated Node #0,1,2: 67:[78, 80] Operation: 23+57=80
Exploring Operation: 57-23=34, Resulting Numbers: [78, 34]
Generated Node #0,1,3: 67:[78, 34] Operation: 57-23=34
Moving to Node #0,3
Current State: 67:[15, 72, 55], Operations: ['78-23=55']
Exploring Operation: 72-15=57, Resulting Numbers: [55, 57]
Generated Node #0,3,0: 67:[55, 57] Operation: 72-15=57
Exploring Operation: 15+55=70, Resulting Numbers: [72, 70]
Generated Node #0,3,1: 67:[72, 70] Operation: 15+55=70
Exploring Operation: 15+72=87, Resulting Numbers: [55, 87]
Generated Node #0,3,2: 67:[55, 87] Operation: 15+72=87
Exploring Operation: 55-15=40, Resulting Numbers: [72, 40]
Generated Node #0,3,3: 67:[72, 40] Operation: 55-15=40
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 67:[72, 70], Operations: ['78-23=55', '15+55=70']
Exploring Operation: 72+70=142, Resulting Numbers: [142]
142,67 unequal: No Solution
Exploring Operation: 72-70=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 72*70=5040, Resulting Numbers: [5040]
5040,67 unequal: No Solution
No 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: 67:[55, 57], Operations: ['78-23=55', '72-15=57']
Exploring Operation: 55*57=3135, Resulting Numbers: [3135]
3135,67 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 55+57=112, Resulting Numbers: [112]
112,67 unequal: No Solution
No 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: 67:[55, 87], Operations: ['78-23=55', '15+72=87']
Exploring Operation: 87-55=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 55*87=4785, Resulting Numbers: [4785]
4785,67 unequal: No Solution
Exploring Operation: 55+87=142, Resulting Numbers: [142]
142,67 unequal: No Solution
No 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: 67:[72, 40], Operations: ['78-23=55', '55-15=40']
Exploring Operation: 72*40=2880, Resulting Numbers: [2880]
2880,67 unequal: No Solution
Exploring Operation: 72-40=32, Resulting Numbers: [32]
32,67 unequal: No Solution
Exploring Operation: 72+40=112, Resulting Numbers: [112]
112,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 67:[57, 55], Operations: ['72-15=57', '78-23=55']
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[78, 80], Operations: ['72-15=57', '23+57=80']
Exploring Operation: 80-78=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 78*80=6240, Resulting Numbers: [6240]
6240,67 unequal: No Solution
Exploring Operation: 78+80=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[78, 34], Operations: ['72-15=57', '57-23=34']
Exploring Operation: 78*34=2652, Resulting Numbers: [2652]
2652,67 unequal: No Solution
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 78+34=112, Resulting Numbers: [112]
112,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[57, 101], Operations: ['72-15=57', '78+23=101']
Exploring Operation: 57+101=158, Resulting Numbers: [158]
158,67 unequal: No Solution
Exploring Operation: 57*101=5757, Resulting Numbers: [5757]
5757,67 unequal: No Solution
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,67 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
1,
25,
28,
99
] | 45
|
[
"1+25=26",
"99-28=71",
"71-26=45"
] |
Current State: 45:[1, 25, 28, 99], Operations: []
Exploring Operation: 1+25=26, Resulting Numbers: [28, 99, 26]
Generated Node #2: [28, 99, 26] from Operation: 1+25=26
Current State: 45:[28, 99, 26], Operations: ['1+25=26']
Exploring Operation: 99-28=71, Resulting Numbers: [26, 71]
Generated Node #3: [26, 71] from Operation: 99-28=71
Current State: 45:[26, 71], Operations: ['1+25=26', '99-28=71']
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[1, 25, 28, 99], Operations: []
Exploring Operation: 99-25=74, Resulting Numbers: [1, 28, 74]
Generated Node #0,0: 45:[1, 28, 74] Operation: 99-25=74
Exploring Operation: 99-28=71, Resulting Numbers: [1, 25, 71]
Generated Node #0,1: 45:[1, 25, 71] Operation: 99-28=71
Moving to Node #0,1
Current State: 45:[1, 25, 71], Operations: ['99-28=71']
Exploring Operation: 25-1=24, Resulting Numbers: [71, 24]
Generated Node #0,1,0: 45:[71, 24] Operation: 25-1=24
Exploring Operation: 71-25=46, Resulting Numbers: [1, 46]
Generated Node #0,1,1: 45:[1, 46] Operation: 71-25=46
Moving to Node #0,0
Current State: 45:[1, 28, 74], Operations: ['99-25=74']
Exploring Operation: 28-1=27, Resulting Numbers: [74, 27]
Generated Node #0,0,0: 45:[74, 27] Operation: 28-1=27
Exploring Operation: 74-28=46, Resulting Numbers: [1, 46]
Generated Node #0,0,1: 45:[1, 46] Operation: 74-28=46
Moving to Node #0,1,1
Current State: 45:[1, 46], Operations: ['99-28=71', '71-25=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[1, 25, 28, 99], Operations: []
Exploring Operation: 99-28=71, Resulting Numbers: [1, 25, 71]
Generated Node #0,1: 45:[1, 25, 71] Operation: 99-28=71
Moving to Node #0,1
Current State: 45:[1, 25, 71], Operations: ['99-28=71']
Exploring Operation: 71-25=46, Resulting Numbers: [1, 46]
Generated Node #0,1,1: 45:[1, 46] Operation: 71-25=46
Moving to Node #0,1,1
Current State: 45:[1, 46], Operations: ['99-28=71', '71-25=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.990451
|
hs_2
|
mult_heuristic
|
[
54,
40,
2,
37
] | 60
|
[
"54-40=14",
"2*37=74",
"74-14=60"
] |
Current State: 60:[54, 40, 2, 37], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [2, 37, 14]
Generated Node #2: [2, 37, 14] from Operation: 54-40=14
Current State: 60:[2, 37, 14], Operations: ['54-40=14']
Exploring Operation: 2*37=74, Resulting Numbers: [14, 74]
Generated Node #3: [14, 74] from Operation: 2*37=74
Current State: 60:[14, 74], Operations: ['54-40=14', '2*37=74']
Exploring Operation: 74-14=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
Current State: 60:[54, 40, 2, 37], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [54, 2, 3]
Generated Node #0,0: 60:[54, 2, 3] Operation: 40-37=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[54, 2, 3], Operations: ['40-37=3']
Exploring Operation: 54/3=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 60:[2, 18] Operation: 54/3=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[2, 18], Operations: ['40-37=3', '54/3=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,60 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
|
[
85,
10,
96,
61
] | 49
|
[
"96-85=11",
"10*11=110",
"110-61=49"
] |
Current State: 49:[85, 10, 96, 61], Operations: []
Exploring Operation: 96-85=11, Resulting Numbers: [10, 61, 11]
Generated Node #2: [10, 61, 11] from Operation: 96-85=11
Current State: 49:[10, 61, 11], Operations: ['96-85=11']
Exploring Operation: 10*11=110, Resulting Numbers: [61, 110]
Generated Node #3: [61, 110] from Operation: 10*11=110
Current State: 49:[61, 110], Operations: ['96-85=11', '10*11=110']
Exploring Operation: 110-61=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[85, 10, 96, 61], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [85, 10, 35]
Generated Node #0,0: 49:[85, 10, 35] Operation: 96-61=35
Exploring Operation: 96-85=11, Resulting Numbers: [10, 61, 11]
Generated Node #0,1: 49:[10, 61, 11] Operation: 96-85=11
Exploring Operation: 85-61=24, Resulting Numbers: [10, 96, 24]
Generated Node #0,2: 49:[10, 96, 24] Operation: 85-61=24
Moving to Node #0,1
Current State: 49:[10, 61, 11], Operations: ['96-85=11']
Exploring Operation: 61-10=51, Resulting Numbers: [11, 51]
Generated Node #0,1,0: 49:[11, 51] Operation: 61-10=51
Exploring Operation: 11-10=1, Resulting Numbers: [61, 1]
Generated Node #0,1,1: 49:[61, 1] Operation: 11-10=1
Exploring Operation: 61-11=50, Resulting Numbers: [10, 50]
Generated Node #0,1,2: 49:[10, 50] Operation: 61-11=50
Moving to Node #0,0
Current State: 49:[85, 10, 35], Operations: ['96-61=35']
Exploring Operation: 85-10=75, Resulting Numbers: [35, 75]
Generated Node #0,0,0: 49:[35, 75] Operation: 85-10=75
Exploring Operation: 10+35=45, Resulting Numbers: [85, 45]
Generated Node #0,0,1: 49:[85, 45] Operation: 10+35=45
Exploring Operation: 85-35=50, Resulting Numbers: [10, 50]
Generated Node #0,0,2: 49:[10, 50] Operation: 85-35=50
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[10, 50], Operations: ['96-61=35', '85-35=50']
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,49 unequal: No Solution
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,49 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 #0,0,0
Current State: 49:[35, 75], Operations: ['96-61=35', '85-10=75']
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 35+75=110, Resulting Numbers: [110]
110,49 unequal: No Solution
Exploring Operation: 35*75=2625, Resulting Numbers: [2625]
2625,49 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 #0,0,1
Current State: 49:[85, 45], Operations: ['96-61=35', '10+35=45']
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Exploring Operation: 85*45=3825, Resulting Numbers: [3825]
3825,49 unequal: No Solution
Exploring Operation: 85+45=130, Resulting Numbers: [130]
130,49 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: 49:[10, 96, 24], Operations: ['85-61=24']
Exploring Operation: 96-24=72, Resulting Numbers: [10, 72]
Generated Node #0,2,0: 49:[10, 72] Operation: 96-24=72
Exploring Operation: 96-10=86, Resulting Numbers: [24, 86]
Generated Node #0,2,1: 49:[24, 86] Operation: 96-10=86
Exploring Operation: 96/24=4, Resulting Numbers: [10, 4]
Generated Node #0,2,2: 49:[10, 4] Operation: 96/24=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[10, 4], Operations: ['85-61=24', '96/24=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,49 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 #0,2,0
Current State: 49:[10, 72], Operations: ['85-61=24', '96-24=72']
Exploring Operation: 10+72=82, Resulting Numbers: [82]
82,49 unequal: No Solution
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 10*72=720, Resulting Numbers: [720]
720,49 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 #0,2,1
Current State: 49:[24, 86], Operations: ['85-61=24', '96-10=86']
Exploring Operation: 24+86=110, Resulting Numbers: [110]
110,49 unequal: No Solution
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 24*86=2064, Resulting Numbers: [2064]
2064,49 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: 49:[10, 50], Operations: ['96-85=11', '61-11=50']
Exploring Operation: 50/10=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 10+50=60, Resulting Numbers: [60]
60,49 unequal: No Solution
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[11, 51], Operations: ['96-85=11', '61-10=51']
Exploring Operation: 11*51=561, Resulting Numbers: [561]
561,49 unequal: No Solution
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[61, 1], Operations: ['96-85=11', '11-10=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,49 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,49 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,49 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
6,
69,
42,
7
] | 28
|
[
"69-6=63",
"42-7=35",
"63-35=28"
] |
Current State: 28:[6, 69, 42, 7], Operations: []
Exploring Operation: 69-6=63, Resulting Numbers: [42, 7, 63]
Generated Node #2: [42, 7, 63] from Operation: 69-6=63
Current State: 28:[42, 7, 63], Operations: ['69-6=63']
Exploring Operation: 42-7=35, Resulting Numbers: [63, 35]
Generated Node #3: [63, 35] from Operation: 42-7=35
Current State: 28:[63, 35], Operations: ['69-6=63', '42-7=35']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[6, 69, 42, 7], Operations: []
Exploring Operation: 42/7=6, Resulting Numbers: [6, 69, 6]
Generated Node #0,0: 28:[6, 69, 6] Operation: 42/7=6
Exploring Operation: 42/6=7, Resulting Numbers: [69, 7, 7]
Generated Node #0,1: 28:[69, 7, 7] Operation: 42/6=7
Exploring Operation: 69-42=27, Resulting Numbers: [6, 7, 27]
Generated Node #0,2: 28:[6, 7, 27] Operation: 69-42=27
Moving to Node #0,2
Current State: 28:[6, 7, 27], Operations: ['69-42=27']
Exploring Operation: 7-6=1, Resulting Numbers: [27, 1]
Generated Node #0,2,0: 28:[27, 1] Operation: 7-6=1
Exploring Operation: 6+27=33, Resulting Numbers: [7, 33]
Generated Node #0,2,1: 28:[7, 33] Operation: 6+27=33
Exploring Operation: 6+7=13, Resulting Numbers: [27, 13]
Generated Node #0,2,2: 28:[27, 13] Operation: 6+7=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 28:[27, 1], Operations: ['69-42=27', '7-6=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[6, 69, 42, 7], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [6, 7, 27]
Generated Node #0,2: 28:[6, 7, 27] Operation: 69-42=27
Moving to Node #0,2
Current State: 28:[6, 7, 27], Operations: ['69-42=27']
Exploring Operation: 7-6=1, Resulting Numbers: [27, 1]
Generated Node #0,2,0: 28:[27, 1] Operation: 7-6=1
Moving to Node #0,2,0
Current State: 28:[27, 1], Operations: ['69-42=27', '7-6=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
2,
35,
52,
72
] | 19
|
[
"72/2=36",
"52-35=17",
"36-17=19"
] |
Current State: 19:[2, 35, 52, 72], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [35, 52, 36]
Generated Node #2: [35, 52, 36] from Operation: 72/2=36
Current State: 19:[35, 52, 36], Operations: ['72/2=36']
Exploring Operation: 52-35=17, Resulting Numbers: [36, 17]
Generated Node #3: [36, 17] from Operation: 52-35=17
Current State: 19:[36, 17], Operations: ['72/2=36', '52-35=17']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[2, 35, 52, 72], Operations: []
Exploring Operation: 72-52=20, Resulting Numbers: [2, 35, 20]
Generated Node #0,0: 19:[2, 35, 20] Operation: 72-52=20
Moving to Node #0,0
Current State: 19:[2, 35, 20], Operations: ['72-52=20']
Exploring Operation: 35-2=33, Resulting Numbers: [20, 33]
Generated Node #0,0,0: 19:[20, 33] Operation: 35-2=33
Moving to Node #0,0,0
Current State: 19:[20, 33], Operations: ['72-52=20', '35-2=33']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,19 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
66,
8,
2,
6
] | 28
|
[
"66+6=72",
"72/2=36",
"36-8=28"
] |
Current State: 28:[66, 8, 2, 6], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [8, 2, 72]
Generated Node #2: [8, 2, 72] from Operation: 66+6=72
Current State: 28:[8, 2, 72], Operations: ['66+6=72']
Exploring Operation: 72/2=36, Resulting Numbers: [8, 36]
Generated Node #3: [8, 36] from Operation: 72/2=36
Current State: 28:[8, 36], Operations: ['66+6=72', '72/2=36']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[66, 8, 2, 6], Operations: []
Exploring Operation: 66/6=11, Resulting Numbers: [8, 2, 11]
Generated Node #0,0: 28:[8, 2, 11] Operation: 66/6=11
Exploring Operation: 66-8=58, Resulting Numbers: [2, 6, 58]
Generated Node #0,1: 28:[2, 6, 58] Operation: 66-8=58
Exploring Operation: 66/2=33, Resulting Numbers: [8, 6, 33]
Generated Node #0,2: 28:[8, 6, 33] Operation: 66/2=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[8, 2, 11], Operations: ['66/6=11']
Exploring Operation: 11-8=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 28:[2, 3] Operation: 11-8=3
Exploring Operation: 8/2=4, Resulting Numbers: [11, 4]
Generated Node #0,0,1: 28:[11, 4] Operation: 8/2=4
Exploring Operation: 2+11=13, Resulting Numbers: [8, 13]
Generated Node #0,0,2: 28:[8, 13] Operation: 2+11=13
Moving to Node #0,0,0
Current State: 28:[2, 3], Operations: ['66/6=11', '11-8=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Moving to Node #0,0,2
Current State: 28:[8, 13], Operations: ['66/6=11', '2+11=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,28 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[11, 4], Operations: ['66/6=11', '8/2=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,28 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,28 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 #0,2
Current State: 28:[8, 6, 33], Operations: ['66/2=33']
Exploring Operation: 33-8=25, Resulting Numbers: [6, 25]
Generated Node #0,2,0: 28:[6, 25] Operation: 33-8=25
Exploring Operation: 8+6=14, Resulting Numbers: [33, 14]
Generated Node #0,2,1: 28:[33, 14] Operation: 8+6=14
Exploring Operation: 33-6=27, Resulting Numbers: [8, 27]
Generated Node #0,2,2: 28:[8, 27] Operation: 33-6=27
Moving to Node #0,2,2
Current State: 28:[8, 27], Operations: ['66/2=33', '33-6=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,28 unequal: No Solution
Moving to Node #0,2,0
Current State: 28:[6, 25], Operations: ['66/2=33', '33-8=25']
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,28 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[33, 14], Operations: ['66/2=33', '8+6=14']
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,28 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,28 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:[2, 6, 58], Operations: ['66-8=58']
Exploring Operation: 58-6=52, Resulting Numbers: [2, 52]
Generated Node #0,1,0: 28:[2, 52] Operation: 58-6=52
Exploring Operation: 58-2=56, Resulting Numbers: [6, 56]
Generated Node #0,1,1: 28:[6, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [6, 29]
Generated Node #0,1,2: 28:[6, 29] Operation: 58/2=29
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[6, 29], Operations: ['66-8=58', '58/2=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,28 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[2, 52], Operations: ['66-8=58', '58-6=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,28 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[6, 56], Operations: ['66-8=58', '58-2=56']
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,28 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,28 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
91,
94,
42,
54
] | 24
|
[
"94-91=3",
"54/3=18",
"42-18=24"
] |
Current State: 24:[91, 94, 42, 54], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [42, 54, 3]
Generated Node #2: [42, 54, 3] from Operation: 94-91=3
Current State: 24:[42, 54, 3], Operations: ['94-91=3']
Exploring Operation: 54/3=18, Resulting Numbers: [42, 18]
Generated Node #3: [42, 18] from Operation: 54/3=18
Current State: 24:[42, 18], Operations: ['94-91=3', '54/3=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[91, 94, 42, 54], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [42, 54, 3]
Generated Node #0,0: 24:[42, 54, 3] Operation: 94-91=3
Exploring Operation: 91-42=49, Resulting Numbers: [94, 54, 49]
Generated Node #0,1: 24:[94, 54, 49] Operation: 91-42=49
Exploring Operation: 91-54=37, Resulting Numbers: [94, 42, 37]
Generated Node #0,2: 24:[94, 42, 37] Operation: 91-54=37
Exploring Operation: 94-54=40, Resulting Numbers: [91, 42, 40]
Generated Node #0,3: 24:[91, 42, 40] Operation: 94-54=40
Moving to Node #0,0
Current State: 24:[42, 54, 3], Operations: ['94-91=3']
Exploring Operation: 42-3=39, Resulting Numbers: [54, 39]
Generated Node #0,0,0: 24:[54, 39] Operation: 42-3=39
Exploring Operation: 54/3=18, Resulting Numbers: [42, 18]
Generated Node #0,0,1: 24:[42, 18] Operation: 54/3=18
Exploring Operation: 42/3=14, Resulting Numbers: [54, 14]
Generated Node #0,0,2: 24:[54, 14] Operation: 42/3=14
Exploring Operation: 54-42=12, Resulting Numbers: [3, 12]
Generated Node #0,0,3: 24:[3, 12] Operation: 54-42=12
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[3, 12], Operations: ['94-91=3', '54-42=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No 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: 24:[42, 18], Operations: ['94-91=3', '54/3=18']
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 42*18=756, Resulting Numbers: [756]
756,24 unequal: No Solution
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[91, 94, 42, 54], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [42, 54, 3]
Generated Node #0,0: 24:[42, 54, 3] Operation: 94-91=3
Moving to Node #0,0
Current State: 24:[42, 54, 3], Operations: ['94-91=3']
Exploring Operation: 54/3=18, Resulting Numbers: [42, 18]
Generated Node #0,0,1: 24:[42, 18] Operation: 54/3=18
Moving to Node #0,0,1
Current State: 24:[42, 18], Operations: ['94-91=3', '54/3=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507
|
hs_4
|
mult_heuristic
|
[
56,
80,
66,
70
] | 20
|
[
"80-56=24",
"70-66=4",
"24-4=20"
] |
Current State: 20:[56, 80, 66, 70], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [66, 70, 24]
Generated Node #2: [66, 70, 24] from Operation: 80-56=24
Current State: 20:[66, 70, 24], Operations: ['80-56=24']
Exploring Operation: 70-66=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 70-66=4
Current State: 20:[24, 4], Operations: ['80-56=24', '70-66=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4
|
Current State: 20:[56, 80, 66, 70], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [66, 70, 24]
Generated Node #0,0: 20:[66, 70, 24] Operation: 80-56=24
Exploring Operation: 70-66=4, Resulting Numbers: [56, 80, 4]
Generated Node #0,1: 20:[56, 80, 4] Operation: 70-66=4
Exploring Operation: 80-70=10, Resulting Numbers: [56, 66, 10]
Generated Node #0,2: 20:[56, 66, 10] Operation: 80-70=10
Exploring Operation: 80-66=14, Resulting Numbers: [56, 70, 14]
Generated Node #0,3: 20:[56, 70, 14] Operation: 80-66=14
Exploring Operation: 66-56=10, Resulting Numbers: [80, 70, 10]
Generated Node #0,4: 20:[80, 70, 10] Operation: 66-56=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[56, 66, 10], Operations: ['80-70=10']
Exploring Operation: 56+10=66, Resulting Numbers: [66, 66]
Generated Node #0,2,0: 20:[66, 66] Operation: 56+10=66
Exploring Operation: 66-10=56, Resulting Numbers: [56, 56]
Generated Node #0,2,1: 20:[56, 56] Operation: 66-10=56
Exploring Operation: 66+10=76, Resulting Numbers: [56, 76]
Generated Node #0,2,2: 20:[56, 76] Operation: 66+10=76
Exploring Operation: 66-56=10, Resulting Numbers: [10, 10]
Generated Node #0,2,3: 20:[10, 10] Operation: 66-56=10
Exploring Operation: 56-10=46, Resulting Numbers: [66, 46]
Generated Node #0,2,4: 20:[66, 46] Operation: 56-10=46
Moving to Node #0,2,3
Current State: 20:[10, 10], Operations: ['80-70=10', '66-56=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,20 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,20 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[56, 80, 66, 70], Operations: []
Exploring Operation: 80-70=10, Resulting Numbers: [56, 66, 10]
Generated Node #0,2: 20:[56, 66, 10] Operation: 80-70=10
Moving to Node #0,2
Current State: 20:[56, 66, 10], Operations: ['80-70=10']
Exploring Operation: 66-56=10, Resulting Numbers: [10, 10]
Generated Node #0,2,3: 20:[10, 10] Operation: 66-56=10
Moving to Node #0,2,3
Current State: 20:[10, 10], Operations: ['80-70=10', '66-56=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_5
|
sum_heuristic
|
[
83,
33,
45,
1
] | 72
|
[
"83+33=116",
"45-1=44",
"116-44=72"
] |
Current State: 72:[83, 33, 45, 1], Operations: []
Exploring Operation: 83+33=116, Resulting Numbers: [45, 1, 116]
Generated Node #2: [45, 1, 116] from Operation: 83+33=116
Current State: 72:[45, 1, 116], Operations: ['83+33=116']
Exploring Operation: 45-1=44, Resulting Numbers: [116, 44]
Generated Node #3: [116, 44] from Operation: 45-1=44
Current State: 72:[116, 44], Operations: ['83+33=116', '45-1=44']
Exploring Operation: 116-44=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[83, 33, 45, 1], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [33, 1, 38]
Generated Node #0,0: 72:[33, 1, 38] Operation: 83-45=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[33, 1, 38], Operations: ['83-45=38']
Exploring Operation: 33+38=71, Resulting Numbers: [1, 71]
Generated Node #0,0,0: 72:[1, 71] Operation: 33+38=71
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[1, 71], Operations: ['83-45=38', '33+38=71']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[83, 33, 45, 1], Operations: []
Exploring Operation: 83-45=38, Resulting Numbers: [33, 1, 38]
Generated Node #0,0: 72:[33, 1, 38] Operation: 83-45=38
Moving to Node #0,0
Current State: 72:[33, 1, 38], Operations: ['83-45=38']
Exploring Operation: 33+38=71, Resulting Numbers: [1, 71]
Generated Node #0,0,0: 72:[1, 71] Operation: 33+38=71
Moving to Node #0,0,0
Current State: 72:[1, 71], Operations: ['83-45=38', '33+38=71']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
60,
45,
84,
27
] | 70
|
[
"60*84=5040",
"45+27=72",
"5040/72=70"
] |
Current State: 70:[60, 45, 84, 27], Operations: []
Exploring Operation: 60*84=5040, Resulting Numbers: [45, 27, 5040]
Generated Node #2: [45, 27, 5040] from Operation: 60*84=5040
Current State: 70:[45, 27, 5040], Operations: ['60*84=5040']
Exploring Operation: 45+27=72, Resulting Numbers: [5040, 72]
Generated Node #3: [5040, 72] from Operation: 45+27=72
Current State: 70:[5040, 72], Operations: ['60*84=5040', '45+27=72']
Exploring Operation: 5040/72=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[60, 45, 84, 27], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [60, 27, 39]
Generated Node #0,0: 70:[60, 27, 39] Operation: 84-45=39
Exploring Operation: 60-45=15, Resulting Numbers: [84, 27, 15]
Generated Node #0,1: 70:[84, 27, 15] Operation: 60-45=15
Moving to Node #0,0
Current State: 70:[60, 27, 39], Operations: ['84-45=39']
Exploring Operation: 39-27=12, Resulting Numbers: [60, 12]
Generated Node #0,0,0: 70:[60, 12] Operation: 39-27=12
Exploring Operation: 60-27=33, Resulting Numbers: [39, 33]
Generated Node #0,0,1: 70:[39, 33] Operation: 60-27=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[39, 33], Operations: ['84-45=39', '60-27=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,70 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:[60, 12], Operations: ['84-45=39', '39-27=12']
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,70 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: 70:[84, 27, 15], Operations: ['60-45=15']
Exploring Operation: 84-15=69, Resulting Numbers: [27, 69]
Generated Node #0,1,0: 70:[27, 69] Operation: 84-15=69
Exploring Operation: 84-27=57, Resulting Numbers: [15, 57]
Generated Node #0,1,1: 70:[15, 57] Operation: 84-27=57
Moving to Node #0,1,0
Current State: 70:[27, 69], Operations: ['60-45=15', '84-15=69']
Exploring Operation: 27+69=96, Resulting Numbers: [96]
96,70 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[15, 57], Operations: ['60-45=15', '84-27=57']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,70 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
49,
83,
92,
49
] | 10
|
[
"49/49=1",
"92-83=9",
"1+9=10"
] |
Current State: 10:[49, 83, 92, 49], Operations: []
Exploring Operation: 49/49=1, Resulting Numbers: [83, 92, 1]
Generated Node #2: [83, 92, 1] from Operation: 49/49=1
Current State: 10:[83, 92, 1], Operations: ['49/49=1']
Exploring Operation: 92-83=9, Resulting Numbers: [1, 9]
Generated Node #3: [1, 9] from Operation: 92-83=9
Current State: 10:[1, 9], Operations: ['49/49=1', '92-83=9']
Exploring Operation: 1+9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[49, 83, 92, 49], Operations: []
Exploring Operation: 92-49=43, Resulting Numbers: [49, 83, 43]
Generated Node #0,0: 10:[49, 83, 43] Operation: 92-49=43
Exploring Operation: 83-49=34, Resulting Numbers: [49, 92, 34]
Generated Node #0,1: 10:[49, 92, 34] Operation: 83-49=34
Exploring Operation: 92-49=43, Resulting Numbers: [83, 49, 43]
Generated Node #0,2: 10:[83, 49, 43] Operation: 92-49=43
Exploring Operation: 83-49=34, Resulting Numbers: [92, 49, 34]
Generated Node #0,3: 10:[92, 49, 34] Operation: 83-49=34
Exploring Operation: 92-83=9, Resulting Numbers: [49, 49, 9]
Generated Node #0,4: 10:[49, 49, 9] Operation: 92-83=9
Moving to Node #0,4
Current State: 10:[49, 49, 9], Operations: ['92-83=9']
Exploring Operation: 49-49=0, Resulting Numbers: [9, 0]
Generated Node #0,4,0: 10:[9, 0] Operation: 49-49=0
Exploring Operation: 49+9=58, Resulting Numbers: [49, 58]
Generated Node #0,4,1: 10:[49, 58] Operation: 49+9=58
Exploring Operation: 49-9=40, Resulting Numbers: [49, 40]
Generated Node #0,4,2: 10:[49, 40] Operation: 49-9=40
Exploring Operation: 49-9=40, Resulting Numbers: [49, 40]
Generated Node #0,4,3: 10:[49, 40] Operation: 49-9=40
Exploring Operation: 49/49=1, Resulting Numbers: [9, 1]
Generated Node #0,4,4: 10:[9, 1] Operation: 49/49=1
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 10:[9, 1], Operations: ['92-83=9', '49/49=1']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,10 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[49, 83, 92, 49], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [49, 49, 9]
Generated Node #0,4: 10:[49, 49, 9] Operation: 92-83=9
Moving to Node #0,4
Current State: 10:[49, 49, 9], Operations: ['92-83=9']
Exploring Operation: 49/49=1, Resulting Numbers: [9, 1]
Generated Node #0,4,4: 10:[9, 1] Operation: 49/49=1
Moving to Node #0,4,4
Current State: 10:[9, 1], Operations: ['92-83=9', '49/49=1']
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
13,
76,
51,
84
] | 30
|
[
"76-13=63",
"84-51=33",
"63-33=30"
] |
Current State: 30:[13, 76, 51, 84], Operations: []
Exploring Operation: 76-13=63, Resulting Numbers: [51, 84, 63]
Generated Node #2: [51, 84, 63] from Operation: 76-13=63
Current State: 30:[51, 84, 63], Operations: ['76-13=63']
Exploring Operation: 84-51=33, Resulting Numbers: [63, 33]
Generated Node #3: [63, 33] from Operation: 84-51=33
Current State: 30:[63, 33], Operations: ['76-13=63', '84-51=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[13, 76, 51, 84], Operations: []
Exploring Operation: 76-13=63, Resulting Numbers: [51, 84, 63]
Generated Node #0,0: 30:[51, 84, 63] Operation: 76-13=63
Exploring Operation: 76-51=25, Resulting Numbers: [13, 84, 25]
Generated Node #0,1: 30:[13, 84, 25] Operation: 76-51=25
Exploring Operation: 84-51=33, Resulting Numbers: [13, 76, 33]
Generated Node #0,2: 30:[13, 76, 33] Operation: 84-51=33
Exploring Operation: 84-76=8, Resulting Numbers: [13, 51, 8]
Generated Node #0,3: 30:[13, 51, 8] Operation: 84-76=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[13, 51, 8], Operations: ['84-76=8']
Exploring Operation: 51-13=38, Resulting Numbers: [8, 38]
Generated Node #0,3,0: 30:[8, 38] Operation: 51-13=38
Exploring Operation: 51-8=43, Resulting Numbers: [13, 43]
Generated Node #0,3,1: 30:[13, 43] Operation: 51-8=43
Exploring Operation: 13-8=5, Resulting Numbers: [51, 5]
Generated Node #0,3,2: 30:[51, 5] Operation: 13-8=5
Exploring Operation: 13+8=21, Resulting Numbers: [51, 21]
Generated Node #0,3,3: 30:[51, 21] Operation: 13+8=21
Moving to Node #0,3,0
Current State: 30:[8, 38], Operations: ['84-76=8', '51-13=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[13, 76, 51, 84], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [13, 51, 8]
Generated Node #0,3: 30:[13, 51, 8] Operation: 84-76=8
Moving to Node #0,3
Current State: 30:[13, 51, 8], Operations: ['84-76=8']
Exploring Operation: 51-13=38, Resulting Numbers: [8, 38]
Generated Node #0,3,0: 30:[8, 38] Operation: 51-13=38
Moving to Node #0,3,0
Current State: 30:[8, 38], Operations: ['84-76=8', '51-13=38']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
sum_heuristic
|
[
13,
2,
20,
1
] | 46
|
[
"13*2=26",
"20*1=20",
"26+20=46"
] |
Current State: 46:[13, 2, 20, 1], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [20, 1, 26]
Generated Node #2: [20, 1, 26] from Operation: 13*2=26
Current State: 46:[20, 1, 26], Operations: ['13*2=26']
Exploring Operation: 20*1=20, Resulting Numbers: [26, 20]
Generated Node #3: [26, 20] from Operation: 20*1=20
Current State: 46:[26, 20], Operations: ['13*2=26', '20*1=20']
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[13, 2, 20, 1], Operations: []
Exploring Operation: 20-13=7, Resulting Numbers: [2, 1, 7]
Generated Node #0,0: 46:[2, 1, 7] Operation: 20-13=7
Moving to Node #0,0
Current State: 46:[2, 1, 7], Operations: ['20-13=7']
Exploring Operation: 7-2=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 46:[1, 5] Operation: 7-2=5
Moving to Node #0,0,0
Current State: 46:[1, 5], Operations: ['20-13=7', '7-2=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,46 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
8,
7,
26,
35
] | 79
|
[
"35-26=9",
"8*9=72",
"7+72=79"
] |
Current State: 79:[8, 7, 26, 35], Operations: []
Exploring Operation: 35-26=9, Resulting Numbers: [8, 7, 9]
Generated Node #2: [8, 7, 9] from Operation: 35-26=9
Current State: 79:[8, 7, 9], Operations: ['35-26=9']
Exploring Operation: 8*9=72, Resulting Numbers: [7, 72]
Generated Node #3: [7, 72] from Operation: 8*9=72
Current State: 79:[7, 72], Operations: ['35-26=9', '8*9=72']
Exploring Operation: 7+72=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[8, 7, 26, 35], Operations: []
Exploring Operation: 8+7=15, Resulting Numbers: [26, 35, 15]
Generated Node #0,0: 79:[26, 35, 15] Operation: 8+7=15
Exploring Operation: 7+26=33, Resulting Numbers: [8, 35, 33]
Generated Node #0,1: 79:[8, 35, 33] Operation: 7+26=33
Exploring Operation: 8+35=43, Resulting Numbers: [7, 26, 43]
Generated Node #0,2: 79:[7, 26, 43] Operation: 8+35=43
Exploring Operation: 8+26=34, Resulting Numbers: [7, 35, 34]
Generated Node #0,3: 79:[7, 35, 34] Operation: 8+26=34
Exploring Operation: 8*7=56, Resulting Numbers: [26, 35, 56]
Generated Node #0,4: 79:[26, 35, 56] Operation: 8*7=56
Moving to Node #0,4
Current State: 79:[26, 35, 56], Operations: ['8*7=56']
Exploring Operation: 35-26=9, Resulting Numbers: [56, 9]
Generated Node #0,4,0: 79:[56, 9] Operation: 35-26=9
Exploring Operation: 26+56=82, Resulting Numbers: [35, 82]
Generated Node #0,4,1: 79:[35, 82] Operation: 26+56=82
Exploring Operation: 26+35=61, Resulting Numbers: [56, 61]
Generated Node #0,4,2: 79:[56, 61] Operation: 26+35=61
Exploring Operation: 35+56=91, Resulting Numbers: [26, 91]
Generated Node #0,4,3: 79:[26, 91] Operation: 35+56=91
Exploring Operation: 56-26=30, Resulting Numbers: [35, 30]
Generated Node #0,4,4: 79:[35, 30] Operation: 56-26=30
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[56, 61], Operations: ['8*7=56', '26+35=61']
Exploring Operation: 56*61=3416, Resulting Numbers: [3416]
3416,79 unequal: No Solution
Exploring Operation: 56+61=117, Resulting Numbers: [117]
117,79 unequal: No Solution
Exploring Operation: 61-56=5, Resulting Numbers: [5]
5,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[35, 82], Operations: ['8*7=56', '26+56=82']
Exploring Operation: 35*82=2870, Resulting Numbers: [2870]
2870,79 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 35+82=117, Resulting Numbers: [117]
117,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[26, 91], Operations: ['8*7=56', '35+56=91']
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 26+91=117, Resulting Numbers: [117]
117,79 unequal: No Solution
Exploring Operation: 26*91=2366, Resulting Numbers: [2366]
2366,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[56, 9], Operations: ['8*7=56', '35-26=9']
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 56*9=504, Resulting Numbers: [504]
504,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[35, 30], Operations: ['8*7=56', '56-26=30']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,79 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,79 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: 79:[8, 35, 33], Operations: ['7+26=33']
Exploring Operation: 8+33=41, Resulting Numbers: [35, 41]
Generated Node #0,1,0: 79:[35, 41] Operation: 8+33=41
Exploring Operation: 8+35=43, Resulting Numbers: [33, 43]
Generated Node #0,1,1: 79:[33, 43] Operation: 8+35=43
Exploring Operation: 33-8=25, Resulting Numbers: [35, 25]
Generated Node #0,1,2: 79:[35, 25] Operation: 33-8=25
Exploring Operation: 35-8=27, Resulting Numbers: [33, 27]
Generated Node #0,1,3: 79:[33, 27] Operation: 35-8=27
Exploring Operation: 35+33=68, Resulting Numbers: [8, 68]
Generated Node #0,1,4: 79:[8, 68] Operation: 35+33=68
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[35, 41], Operations: ['7+26=33', '8+33=41']
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,79 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[33, 43], Operations: ['7+26=33', '8+35=43']
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 33*43=1419, Resulting Numbers: [1419]
1419,79 unequal: No Solution
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 79:[8, 68], Operations: ['7+26=33', '35+33=68']
Exploring Operation: 8*68=544, Resulting Numbers: [544]
544,79 unequal: No Solution
Exploring Operation: 8+68=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 68-8=60, Resulting Numbers: [60]
60,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[35, 25], Operations: ['7+26=33', '33-8=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,79 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[33, 27], Operations: ['7+26=33', '35-8=27']
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 33*27=891, Resulting Numbers: [891]
891,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 79:[7, 35, 34], Operations: ['8+26=34']
Exploring Operation: 35-7=28, Resulting Numbers: [34, 28]
Generated Node #0,3,0: 79:[34, 28] Operation: 35-7=28
Exploring Operation: 34-7=27, Resulting Numbers: [35, 27]
Generated Node #0,3,1: 79:[35, 27] Operation: 34-7=27
Exploring Operation: 7+35=42, Resulting Numbers: [34, 42]
Generated Node #0,3,2: 79:[34, 42] Operation: 7+35=42
Exploring Operation: 7+34=41, Resulting Numbers: [35, 41]
Generated Node #0,3,3: 79:[35, 41] Operation: 7+34=41
Exploring Operation: 35+34=69, Resulting Numbers: [7, 69]
Generated Node #0,3,4: 79:[7, 69] Operation: 35+34=69
Moving to Node #0,0
Current State: 79:[26, 35, 15], Operations: ['8+7=15']
Exploring Operation: 35-15=20, Resulting Numbers: [26, 20]
Generated Node #0,0,0: 79:[26, 20] Operation: 35-15=20
Exploring Operation: 26-15=11, Resulting Numbers: [35, 11]
Generated Node #0,0,1: 79:[35, 11] Operation: 26-15=11
Exploring Operation: 26+15=41, Resulting Numbers: [35, 41]
Generated Node #0,0,2: 79:[35, 41] Operation: 26+15=41
Exploring Operation: 35+15=50, Resulting Numbers: [26, 50]
Generated Node #0,0,3: 79:[26, 50] Operation: 35+15=50
Exploring Operation: 26+35=61, Resulting Numbers: [15, 61]
Generated Node #0,0,4: 79:[15, 61] Operation: 26+35=61
Moving to Node #0,2
Current State: 79:[7, 26, 43], Operations: ['8+35=43']
Exploring Operation: 43-7=36, Resulting Numbers: [26, 36]
Generated Node #0,2,0: 79:[26, 36] Operation: 43-7=36
Exploring Operation: 7+43=50, Resulting Numbers: [26, 50]
Generated Node #0,2,1: 79:[26, 50] Operation: 7+43=50
Exploring Operation: 26-7=19, Resulting Numbers: [43, 19]
Generated Node #0,2,2: 79:[43, 19] Operation: 26-7=19
Exploring Operation: 26+43=69, Resulting Numbers: [7, 69]
Generated Node #0,2,3: 79:[7, 69] Operation: 26+43=69
Exploring Operation: 7+26=33, Resulting Numbers: [43, 33]
Generated Node #0,2,4: 79:[43, 33] Operation: 7+26=33
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[26, 50], Operations: ['8+35=43', '7+43=50']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,79 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[7, 69], Operations: ['8+35=43', '26+43=69']
Exploring Operation: 7*69=483, Resulting Numbers: [483]
483,79 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 7+69=76, Resulting Numbers: [76]
76,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[43, 33], Operations: ['8+35=43', '7+26=33']
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 43*33=1419, Resulting Numbers: [1419]
1419,79 unequal: No Solution
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[26, 36], Operations: ['8+35=43', '43-7=36']
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,79 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[43, 19], Operations: ['8+35=43', '26-7=19']
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,79 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,79 unequal: No Solution
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 79:[34, 42], Operations: ['8+26=34', '7+35=42']
Exploring Operation: 34*42=1428, Resulting Numbers: [1428]
1428,79 unequal: No Solution
Exploring Operation: 34+42=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[7, 69], Operations: ['8+26=34', '35+34=69']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 7*69=483, Resulting Numbers: [483]
483,79 unequal: No Solution
Exploring Operation: 7+69=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[26, 50], Operations: ['8+7=15', '35+15=50']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,79 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[35, 41], Operations: ['8+7=15', '26+15=41']
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,79 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[35, 41], Operations: ['8+26=34', '7+34=41']
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,79 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[15, 61], Operations: ['8+7=15', '26+35=61']
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 15*61=915, Resulting Numbers: [915]
915,79 unequal: No Solution
Exploring Operation: 15+61=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[34, 28], Operations: ['8+26=34', '35-7=28']
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 34+28=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 34*28=952, Resulting Numbers: [952]
952,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[35, 27], Operations: ['8+26=34', '34-7=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 35*27=945, Resulting Numbers: [945]
945,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[35, 11], Operations: ['8+7=15', '26-15=11']
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,79 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[26, 20], Operations: ['8+7=15', '35-15=20']
Exploring Operation: 26*20=520, Resulting Numbers: [520]
520,79 unequal: No Solution
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,79 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
81,
63,
9,
6
] | 61
|
[
"81*6=486",
"63+486=549",
"549/9=61"
] |
Current State: 61:[81, 63, 9, 6], Operations: []
Exploring Operation: 81*6=486, Resulting Numbers: [63, 9, 486]
Generated Node #2: [63, 9, 486] from Operation: 81*6=486
Current State: 61:[63, 9, 486], Operations: ['81*6=486']
Exploring Operation: 63+486=549, Resulting Numbers: [9, 549]
Generated Node #3: [9, 549] from Operation: 63+486=549
Current State: 61:[9, 549], Operations: ['81*6=486', '63+486=549']
Exploring Operation: 549/9=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[81, 63, 9, 6], Operations: []
Exploring Operation: 9*6=54, Resulting Numbers: [81, 63, 54]
Generated Node #0,0: 61:[81, 63, 54] Operation: 9*6=54
Exploring Operation: 81-9=72, Resulting Numbers: [63, 6, 72]
Generated Node #0,1: 61:[63, 6, 72] Operation: 81-9=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[81, 63, 54], Operations: ['9*6=54']
Exploring Operation: 81-63=18, Resulting Numbers: [54, 18]
Generated Node #0,0,0: 61:[54, 18] Operation: 81-63=18
Exploring Operation: 81-54=27, Resulting Numbers: [63, 27]
Generated Node #0,0,1: 61:[63, 27] Operation: 81-54=27
Moving to Node #0,0,1
Current State: 61:[63, 27], Operations: ['9*6=54', '81-54=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[54, 18], Operations: ['9*6=54', '81-63=18']
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,61 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
Current State: 61:[63, 6, 72], Operations: ['81-9=72']
Exploring Operation: 63-6=57, Resulting Numbers: [72, 57]
Generated Node #0,1,0: 61:[72, 57] Operation: 63-6=57
Exploring Operation: 72-6=66, Resulting Numbers: [63, 66]
Generated Node #0,1,1: 61:[63, 66] Operation: 72-6=66
Moving to Node #0,1,1
Current State: 61:[63, 66], Operations: ['81-9=72', '72-6=66']
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,61 unequal: No Solution
Exploring Operation: 63+66=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[72, 57], Operations: ['81-9=72', '63-6=57']
Exploring Operation: 72+57=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,61 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
|
[
43,
8,
18,
33
] | 98
|
[
"43-33=10",
"8*10=80",
"18+80=98"
] |
Current State: 98:[43, 8, 18, 33], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [8, 18, 10]
Generated Node #2: [8, 18, 10] from Operation: 43-33=10
Current State: 98:[8, 18, 10], Operations: ['43-33=10']
Exploring Operation: 8*10=80, Resulting Numbers: [18, 80]
Generated Node #3: [18, 80] from Operation: 8*10=80
Current State: 98:[18, 80], Operations: ['43-33=10', '8*10=80']
Exploring Operation: 18+80=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4
|
Current State: 98:[43, 8, 18, 33], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [8, 18, 10]
Generated Node #0,0: 98:[8, 18, 10] Operation: 43-33=10
Exploring Operation: 33-18=15, Resulting Numbers: [43, 8, 15]
Generated Node #0,1: 98:[43, 8, 15] Operation: 33-18=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[8, 18, 10], Operations: ['43-33=10']
Exploring Operation: 18-10=8, Resulting Numbers: [8, 8]
Generated Node #0,0,0: 98:[8, 8] Operation: 18-10=8
Exploring Operation: 10-8=2, Resulting Numbers: [18, 2]
Generated Node #0,0,1: 98:[18, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 98:[8, 8], Operations: ['43-33=10', '18-10=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[18, 2], Operations: ['43-33=10', '10-8=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,98 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
Current State: 98:[43, 8, 15], Operations: ['33-18=15']
Exploring Operation: 43+8=51, Resulting Numbers: [15, 51]
Generated Node #0,1,0: 98:[15, 51] Operation: 43+8=51
Exploring Operation: 15-8=7, Resulting Numbers: [43, 7]
Generated Node #0,1,1: 98:[43, 7] Operation: 15-8=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[15, 51], Operations: ['33-18=15', '43+8=51']
Exploring Operation: 15+51=66, Resulting Numbers: [66]
66,98 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,98 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: 98:[43, 7], Operations: ['33-18=15', '15-8=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,98 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
|
[
63,
24,
18,
16
] | 15
|
[
"18-16=2",
"24*2=48",
"63-48=15"
] |
Current State: 15:[63, 24, 18, 16], Operations: []
Exploring Operation: 18-16=2, Resulting Numbers: [63, 24, 2]
Generated Node #2: [63, 24, 2] from Operation: 18-16=2
Current State: 15:[63, 24, 2], Operations: ['18-16=2']
Exploring Operation: 24*2=48, Resulting Numbers: [63, 48]
Generated Node #3: [63, 48] from Operation: 24*2=48
Current State: 15:[63, 48], Operations: ['18-16=2', '24*2=48']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[63, 24, 18, 16], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [63, 16, 6]
Generated Node #0,0: 15:[63, 16, 6] Operation: 24-18=6
Exploring Operation: 63-24=39, Resulting Numbers: [18, 16, 39]
Generated Node #0,1: 15:[18, 16, 39] Operation: 63-24=39
Exploring Operation: 63-18=45, Resulting Numbers: [24, 16, 45]
Generated Node #0,2: 15:[24, 16, 45] Operation: 63-18=45
Exploring Operation: 63-16=47, Resulting Numbers: [24, 18, 47]
Generated Node #0,3: 15:[24, 18, 47] Operation: 63-16=47
Exploring Operation: 24-16=8, Resulting Numbers: [63, 18, 8]
Generated Node #0,4: 15:[63, 18, 8] Operation: 24-16=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[18, 16, 39], Operations: ['63-24=39']
Exploring Operation: 39-18=21, Resulting Numbers: [16, 21]
Generated Node #0,1,0: 15:[16, 21] Operation: 39-18=21
Exploring Operation: 18-16=2, Resulting Numbers: [39, 2]
Generated Node #0,1,1: 15:[39, 2] Operation: 18-16=2
Exploring Operation: 39-16=23, Resulting Numbers: [18, 23]
Generated Node #0,1,2: 15:[18, 23] Operation: 39-16=23
Exploring Operation: 18+16=34, Resulting Numbers: [39, 34]
Generated Node #0,1,3: 15:[39, 34] Operation: 18+16=34
Exploring Operation: 18+39=57, Resulting Numbers: [16, 57]
Generated Node #0,1,4: 15:[16, 57] Operation: 18+39=57
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[16, 21], Operations: ['63-24=39', '39-18=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,15 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 15:[18, 23], Operations: ['63-24=39', '39-16=23']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,15 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 15:[39, 2], Operations: ['63-24=39', '18-16=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,15 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 15:[39, 34], Operations: ['63-24=39', '18+16=34']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,15 unequal: No Solution
Exploring Operation: 39*34=1326, Resulting Numbers: [1326]
1326,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 15:[16, 57], Operations: ['63-24=39', '18+39=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 16*57=912, Resulting Numbers: [912]
912,15 unequal: No Solution
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[24, 16, 45], Operations: ['63-18=45']
Exploring Operation: 24+16=40, Resulting Numbers: [45, 40]
Generated Node #0,2,0: 15:[45, 40] Operation: 24+16=40
Exploring Operation: 45-16=29, Resulting Numbers: [24, 29]
Generated Node #0,2,1: 15:[24, 29] Operation: 45-16=29
Exploring Operation: 24+45=69, Resulting Numbers: [16, 69]
Generated Node #0,2,2: 15:[16, 69] Operation: 24+45=69
Exploring Operation: 45-24=21, Resulting Numbers: [16, 21]
Generated Node #0,2,3: 15:[16, 21] Operation: 45-24=21
Exploring Operation: 24-16=8, Resulting Numbers: [45, 8]
Generated Node #0,2,4: 15:[45, 8] Operation: 24-16=8
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 15:[16, 21], Operations: ['63-18=45', '45-24=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,15 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[24, 29], Operations: ['63-18=45', '45-16=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 24*29=696, Resulting Numbers: [696]
696,15 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 15:[45, 8], Operations: ['63-18=45', '24-16=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,15 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 15:[45, 40], Operations: ['63-18=45', '24+16=40']
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,15 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[16, 69], Operations: ['63-18=45', '24+45=69']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,15 unequal: No Solution
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[24, 18, 47], Operations: ['63-16=47']
Exploring Operation: 24+18=42, Resulting Numbers: [47, 42]
Generated Node #0,3,0: 15:[47, 42] Operation: 24+18=42
Exploring Operation: 24-18=6, Resulting Numbers: [47, 6]
Generated Node #0,3,1: 15:[47, 6] Operation: 24-18=6
Exploring Operation: 47-24=23, Resulting Numbers: [18, 23]
Generated Node #0,3,2: 15:[18, 23] Operation: 47-24=23
Exploring Operation: 47-18=29, Resulting Numbers: [24, 29]
Generated Node #0,3,3: 15:[24, 29] Operation: 47-18=29
Exploring Operation: 24+47=71, Resulting Numbers: [18, 71]
Generated Node #0,3,4: 15:[18, 71] Operation: 24+47=71
Moving to Node #0,3,2
Current State: 15:[18, 23], Operations: ['63-16=47', '47-24=23']
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,15 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[24, 29], Operations: ['63-16=47', '47-18=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 24*29=696, Resulting Numbers: [696]
696,15 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[47, 6], Operations: ['63-16=47', '24-18=6']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 47*6=282, Resulting Numbers: [282]
282,15 unequal: No Solution
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[47, 42], Operations: ['63-16=47', '24+18=42']
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,15 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,3,4
Current State: 15:[18, 71], Operations: ['63-16=47', '24+47=71']
Exploring Operation: 18*71=1278, Resulting Numbers: [1278]
1278,15 unequal: No Solution
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[63, 16, 6], Operations: ['24-18=6']
Exploring Operation: 63-16=47, Resulting Numbers: [6, 47]
Generated Node #0,0,0: 15:[6, 47] Operation: 63-16=47
Exploring Operation: 16+6=22, Resulting Numbers: [63, 22]
Generated Node #0,0,1: 15:[63, 22] Operation: 16+6=22
Exploring Operation: 63-6=57, Resulting Numbers: [16, 57]
Generated Node #0,0,2: 15:[16, 57] Operation: 63-6=57
Exploring Operation: 63+6=69, Resulting Numbers: [16, 69]
Generated Node #0,0,3: 15:[16, 69] Operation: 63+6=69
Exploring Operation: 16-6=10, Resulting Numbers: [63, 10]
Generated Node #0,0,4: 15:[63, 10] Operation: 16-6=10
Moving to Node #0,0,0
Current State: 15:[6, 47], Operations: ['24-18=6', '63-16=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[16, 57], Operations: ['24-18=6', '63-6=57']
Exploring Operation: 16*57=912, Resulting Numbers: [912]
912,15 unequal: No Solution
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,15 unequal: No Solution
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Moving to Node #0,0,4
Current State: 15:[63, 10], Operations: ['24-18=6', '16-6=10']
Exploring Operation: 63*10=630, Resulting Numbers: [630]
630,15 unequal: No Solution
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[63, 22], Operations: ['24-18=6', '16+6=22']
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,15 unequal: No Solution
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,15 unequal: No Solution
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[16, 69], Operations: ['24-18=6', '63+6=69']
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,15 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,15 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 15:[63, 18, 8], Operations: ['24-16=8']
Exploring Operation: 18-8=10, Resulting Numbers: [63, 10]
Generated Node #0,4,0: 15:[63, 10] Operation: 18-8=10
Exploring Operation: 18+8=26, Resulting Numbers: [63, 26]
Generated Node #0,4,1: 15:[63, 26] Operation: 18+8=26
Exploring Operation: 63-8=55, Resulting Numbers: [18, 55]
Generated Node #0,4,2: 15:[18, 55] Operation: 63-8=55
Exploring Operation: 63-18=45, Resulting Numbers: [8, 45]
Generated Node #0,4,3: 15:[8, 45] Operation: 63-18=45
Exploring Operation: 63+8=71, Resulting Numbers: [18, 71]
Generated Node #0,4,4: 15:[18, 71] Operation: 63+8=71
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 15:[8, 45], Operations: ['24-16=8', '63-18=45']
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,15 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 15:[18, 55], Operations: ['24-16=8', '63-8=55']
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,15 unequal: No Solution
Exploring Operation: 18*55=990, Resulting Numbers: [990]
990,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 15:[63, 10], Operations: ['24-16=8', '18-8=10']
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,15 unequal: No Solution
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 63*10=630, Resulting Numbers: [630]
630,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 15:[63, 26], Operations: ['24-16=8', '18+8=26']
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,15 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 15:[18, 71], Operations: ['24-16=8', '63+8=71']
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,15 unequal: No Solution
Exploring Operation: 18*71=1278, Resulting Numbers: [1278]
1278,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
11,
30,
1,
65
] | 68
|
[
"11-1=10",
"30/10=3",
"65+3=68"
] |
Current State: 68:[11, 30, 1, 65], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [30, 65, 10]
Generated Node #2: [30, 65, 10] from Operation: 11-1=10
Current State: 68:[30, 65, 10], Operations: ['11-1=10']
Exploring Operation: 30/10=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 30/10=3
Current State: 68:[65, 3], Operations: ['11-1=10', '30/10=3']
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[11, 30, 1, 65], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [11, 1, 35]
Generated Node #0,0: 68:[11, 1, 35] Operation: 65-30=35
Exploring Operation: 11+30=41, Resulting Numbers: [1, 65, 41]
Generated Node #0,1: 68:[1, 65, 41] Operation: 11+30=41
Exploring Operation: 30-11=19, Resulting Numbers: [1, 65, 19]
Generated Node #0,2: 68:[1, 65, 19] Operation: 30-11=19
Exploring Operation: 11+1=12, Resulting Numbers: [30, 65, 12]
Generated Node #0,3: 68:[30, 65, 12] Operation: 11+1=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[1, 65, 19], Operations: ['30-11=19']
Exploring Operation: 1*65=65, Resulting Numbers: [19, 65]
Generated Node #0,2,0: 68:[19, 65] Operation: 1*65=65
Exploring Operation: 19-1=18, Resulting Numbers: [65, 18]
Generated Node #0,2,1: 68:[65, 18] Operation: 19-1=18
Exploring Operation: 65/1=65, Resulting Numbers: [19, 65]
Generated Node #0,2,2: 68:[19, 65] Operation: 65/1=65
Exploring Operation: 1+65=66, Resulting Numbers: [19, 66]
Generated Node #0,2,3: 68:[19, 66] Operation: 1+65=66
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 68:[65, 18], Operations: ['30-11=19', '19-1=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,68 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,68 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: 68:[19, 66], Operations: ['30-11=19', '1+65=66']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 19*66=1254, Resulting Numbers: [1254]
1254,68 unequal: No Solution
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,68 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: 68:[19, 65], Operations: ['30-11=19', '1*65=65']
Exploring Operation: 19*65=1235, Resulting Numbers: [1235]
1235,68 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 19+65=84, Resulting Numbers: [84]
84,68 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: 68:[19, 65], Operations: ['30-11=19', '65/1=65']
Exploring Operation: 19*65=1235, Resulting Numbers: [1235]
1235,68 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 19+65=84, Resulting Numbers: [84]
84,68 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[11, 1, 35], Operations: ['65-30=35']
Exploring Operation: 11+1=12, Resulting Numbers: [35, 12]
Generated Node #0,0,0: 68:[35, 12] Operation: 11+1=12
Exploring Operation: 11-1=10, Resulting Numbers: [35, 10]
Generated Node #0,0,1: 68:[35, 10] Operation: 11-1=10
Exploring Operation: 35-1=34, Resulting Numbers: [11, 34]
Generated Node #0,0,2: 68:[11, 34] Operation: 35-1=34
Exploring Operation: 11*1=11, Resulting Numbers: [35, 11]
Generated Node #0,0,3: 68:[35, 11] Operation: 11*1=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[35, 12], Operations: ['65-30=35', '11+1=12']
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,68 unequal: No Solution
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,68 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: 68:[11, 34], Operations: ['65-30=35', '35-1=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,68 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,68 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,68 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: 68:[35, 10], Operations: ['65-30=35', '11-1=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,68 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,68 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: 68:[35, 11], Operations: ['65-30=35', '11*1=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,68 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,68 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[1, 65, 41], Operations: ['11+30=41']
Exploring Operation: 1+65=66, Resulting Numbers: [41, 66]
Generated Node #0,1,0: 68:[41, 66] Operation: 1+65=66
Exploring Operation: 65-41=24, Resulting Numbers: [1, 24]
Generated Node #0,1,1: 68:[1, 24] Operation: 65-41=24
Exploring Operation: 41-1=40, Resulting Numbers: [65, 40]
Generated Node #0,1,2: 68:[65, 40] Operation: 41-1=40
Exploring Operation: 1*65=65, Resulting Numbers: [41, 65]
Generated Node #0,1,3: 68:[41, 65] Operation: 1*65=65
Moving to Node #0,1,1
Current State: 68:[1, 24], Operations: ['11+30=41', '65-41=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,68 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[65, 40], Operations: ['11+30=41', '41-1=40']
Exploring Operation: 65*40=2600, Resulting Numbers: [2600]
2600,68 unequal: No Solution
Exploring Operation: 65+40=105, Resulting Numbers: [105]
105,68 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[41, 66], Operations: ['11+30=41', '1+65=66']
Exploring Operation: 41*66=2706, Resulting Numbers: [2706]
2706,68 unequal: No Solution
Exploring Operation: 41+66=107, Resulting Numbers: [107]
107,68 unequal: No Solution
Exploring Operation: 66-41=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[41, 65], Operations: ['11+30=41', '1*65=65']
Exploring Operation: 41+65=106, Resulting Numbers: [106]
106,68 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 41*65=2665, Resulting Numbers: [2665]
2665,68 unequal: No Solution
No 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: 68:[30, 65, 12], Operations: ['11+1=12']
Exploring Operation: 30+12=42, Resulting Numbers: [65, 42]
Generated Node #0,3,0: 68:[65, 42] Operation: 30+12=42
Exploring Operation: 65-30=35, Resulting Numbers: [12, 35]
Generated Node #0,3,1: 68:[12, 35] Operation: 65-30=35
Exploring Operation: 65+12=77, Resulting Numbers: [30, 77]
Generated Node #0,3,2: 68:[30, 77] Operation: 65+12=77
Exploring Operation: 30-12=18, Resulting Numbers: [65, 18]
Generated Node #0,3,3: 68:[65, 18] Operation: 30-12=18
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 68:[65, 18], Operations: ['11+1=12', '30-12=18']
Exploring Operation: 65-18=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 65+18=83, Resulting Numbers: [83]
83,68 unequal: No Solution
Exploring Operation: 65*18=1170, Resulting Numbers: [1170]
1170,68 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: 68:[12, 35], Operations: ['11+1=12', '65-30=35']
Exploring Operation: 12+35=47, Resulting Numbers: [47]
47,68 unequal: No Solution
Exploring Operation: 12*35=420, Resulting Numbers: [420]
420,68 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,68 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: 68:[65, 42], Operations: ['11+1=12', '30+12=42']
Exploring Operation: 65*42=2730, Resulting Numbers: [2730]
2730,68 unequal: No Solution
Exploring Operation: 65+42=107, Resulting Numbers: [107]
107,68 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,68 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: 68:[30, 77], Operations: ['11+1=12', '65+12=77']
Exploring Operation: 30+77=107, Resulting Numbers: [107]
107,68 unequal: No Solution
Exploring Operation: 30*77=2310, Resulting Numbers: [2310]
2310,68 unequal: No Solution
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,68 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_4
|
sum_heuristic
|
[
62,
43,
9,
72
] | 97
|
[
"62+43=105",
"72/9=8",
"105-8=97"
] |
Current State: 97:[62, 43, 9, 72], Operations: []
Exploring Operation: 62+43=105, Resulting Numbers: [9, 72, 105]
Generated Node #2: [9, 72, 105] from Operation: 62+43=105
Current State: 97:[9, 72, 105], Operations: ['62+43=105']
Exploring Operation: 72/9=8, Resulting Numbers: [105, 8]
Generated Node #3: [105, 8] from Operation: 72/9=8
Current State: 97:[105, 8], Operations: ['62+43=105', '72/9=8']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4
|
Current State: 97:[62, 43, 9, 72], Operations: []
Exploring Operation: 43+9=52, Resulting Numbers: [62, 72, 52]
Generated Node #0,0: 97:[62, 72, 52] Operation: 43+9=52
Exploring Operation: 62+9=71, Resulting Numbers: [43, 72, 71]
Generated Node #0,1: 97:[43, 72, 71] Operation: 62+9=71
Exploring Operation: 62+43=105, Resulting Numbers: [9, 72, 105]
Generated Node #0,2: 97:[9, 72, 105] Operation: 62+43=105
Exploring Operation: 62-9=53, Resulting Numbers: [43, 72, 53]
Generated Node #0,3: 97:[43, 72, 53] Operation: 62-9=53
Exploring Operation: 9+72=81, Resulting Numbers: [62, 43, 81]
Generated Node #0,4: 97:[62, 43, 81] Operation: 9+72=81
Moving to Node #0,0
Current State: 97:[62, 72, 52], Operations: ['43+9=52']
Exploring Operation: 62-52=10, Resulting Numbers: [72, 10]
Generated Node #0,0,0: 97:[72, 10] Operation: 62-52=10
Exploring Operation: 72-52=20, Resulting Numbers: [62, 20]
Generated Node #0,0,1: 97:[62, 20] Operation: 72-52=20
Exploring Operation: 62+72=134, Resulting Numbers: [52, 134]
Generated Node #0,0,2: 97:[52, 134] Operation: 62+72=134
Exploring Operation: 62+52=114, Resulting Numbers: [72, 114]
Generated Node #0,0,3: 97:[72, 114] Operation: 62+52=114
Exploring Operation: 72+52=124, Resulting Numbers: [62, 124]
Generated Node #0,0,4: 97:[62, 124] Operation: 72+52=124
Moving to Node #0,4
Current State: 97:[62, 43, 81], Operations: ['9+72=81']
Exploring Operation: 81-43=38, Resulting Numbers: [62, 38]
Generated Node #0,4,0: 97:[62, 38] Operation: 81-43=38
Exploring Operation: 62+81=143, Resulting Numbers: [43, 143]
Generated Node #0,4,1: 97:[43, 143] Operation: 62+81=143
Exploring Operation: 43+81=124, Resulting Numbers: [62, 124]
Generated Node #0,4,2: 97:[62, 124] Operation: 43+81=124
Exploring Operation: 62+43=105, Resulting Numbers: [81, 105]
Generated Node #0,4,3: 97:[81, 105] Operation: 62+43=105
Exploring Operation: 62-43=19, Resulting Numbers: [81, 19]
Generated Node #0,4,4: 97:[81, 19] Operation: 62-43=19
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 97:[81, 105], Operations: ['9+72=81', '62+43=105']
Exploring Operation: 105-81=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 81+105=186, Resulting Numbers: [186]
186,97 unequal: No Solution
Exploring Operation: 81*105=8505, Resulting Numbers: [8505]
8505,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 97:[62, 124], Operations: ['9+72=81', '43+81=124']
Exploring Operation: 62+124=186, Resulting Numbers: [186]
186,97 unequal: No Solution
Exploring Operation: 124-62=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 62*124=7688, Resulting Numbers: [7688]
7688,97 unequal: No Solution
Exploring Operation: 124/62=2, Resulting Numbers: [2]
2,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 97:[62, 38], Operations: ['9+72=81', '81-43=38']
Exploring Operation: 62*38=2356, Resulting Numbers: [2356]
2356,97 unequal: No Solution
Exploring Operation: 62+38=100, Resulting Numbers: [100]
100,97 unequal: No Solution
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 97:[81, 19], Operations: ['9+72=81', '62-43=19']
Exploring Operation: 81*19=1539, Resulting Numbers: [1539]
1539,97 unequal: No Solution
Exploring Operation: 81-19=62, Resulting Numbers: [62]
62,97 unequal: No Solution
Exploring Operation: 81+19=100, Resulting Numbers: [100]
100,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 97:[43, 143], Operations: ['9+72=81', '62+81=143']
Exploring Operation: 43+143=186, Resulting Numbers: [186]
186,97 unequal: No Solution
Exploring Operation: 43*143=6149, Resulting Numbers: [6149]
6149,97 unequal: No Solution
Exploring Operation: 143-43=100, Resulting Numbers: [100]
100,97 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: 97:[43, 72, 71], Operations: ['62+9=71']
Exploring Operation: 71-43=28, Resulting Numbers: [72, 28]
Generated Node #0,1,0: 97:[72, 28] Operation: 71-43=28
Exploring Operation: 72-43=29, Resulting Numbers: [71, 29]
Generated Node #0,1,1: 97:[71, 29] Operation: 72-43=29
Exploring Operation: 72+71=143, Resulting Numbers: [43, 143]
Generated Node #0,1,2: 97:[43, 143] Operation: 72+71=143
Exploring Operation: 43+71=114, Resulting Numbers: [72, 114]
Generated Node #0,1,3: 97:[72, 114] Operation: 43+71=114
Exploring Operation: 43+72=115, Resulting Numbers: [71, 115]
Generated Node #0,1,4: 97:[71, 115] Operation: 43+72=115
Moving to Node #0,2
Current State: 97:[9, 72, 105], Operations: ['62+43=105']
Exploring Operation: 72/9=8, Resulting Numbers: [105, 8]
Generated Node #0,2,0: 97:[105, 8] Operation: 72/9=8
Exploring Operation: 9+72=81, Resulting Numbers: [105, 81]
Generated Node #0,2,1: 97:[105, 81] Operation: 9+72=81
Exploring Operation: 72-9=63, Resulting Numbers: [105, 63]
Generated Node #0,2,2: 97:[105, 63] Operation: 72-9=63
Exploring Operation: 105-9=96, Resulting Numbers: [72, 96]
Generated Node #0,2,3: 97:[72, 96] Operation: 105-9=96
Exploring Operation: 9+105=114, Resulting Numbers: [72, 114]
Generated Node #0,2,4: 97:[72, 114] Operation: 9+105=114
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[105, 81], Operations: ['62+43=105', '9+72=81']
Exploring Operation: 105*81=8505, Resulting Numbers: [8505]
8505,97 unequal: No Solution
Exploring Operation: 105+81=186, Resulting Numbers: [186]
186,97 unequal: No Solution
Exploring Operation: 105-81=24, Resulting Numbers: [24]
24,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[72, 96], Operations: ['62+43=105', '105-9=96']
Exploring Operation: 72*96=6912, Resulting Numbers: [6912]
6912,97 unequal: No Solution
Exploring Operation: 96-72=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 72+96=168, Resulting Numbers: [168]
168,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[105, 63], Operations: ['62+43=105', '72-9=63']
Exploring Operation: 105*63=6615, Resulting Numbers: [6615]
6615,97 unequal: No Solution
Exploring Operation: 105+63=168, Resulting Numbers: [168]
168,97 unequal: No Solution
Exploring Operation: 105-63=42, Resulting Numbers: [42]
42,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 97:[72, 114], Operations: ['62+43=105', '9+105=114']
Exploring Operation: 72*114=8208, Resulting Numbers: [8208]
8208,97 unequal: No Solution
Exploring Operation: 114-72=42, Resulting Numbers: [42]
42,97 unequal: No Solution
Exploring Operation: 72+114=186, Resulting Numbers: [186]
186,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[105, 8], Operations: ['62+43=105', '72/9=8']
Exploring Operation: 105+8=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[62, 43, 9, 72], Operations: []
Exploring Operation: 62+43=105, Resulting Numbers: [9, 72, 105]
Generated Node #0,2: 97:[9, 72, 105] Operation: 62+43=105
Moving to Node #0,2
Current State: 97:[9, 72, 105], Operations: ['62+43=105']
Exploring Operation: 72/9=8, Resulting Numbers: [105, 8]
Generated Node #0,2,0: 97:[105, 8] Operation: 72/9=8
Moving to Node #0,2,0
Current State: 97:[105, 8], Operations: ['62+43=105', '72/9=8']
Exploring Operation: 105-8=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785
|
hs_5
|
sum_heuristic
|
[
58,
25,
89,
32
] | 24
|
[
"58-25=33",
"89-32=57",
"57-33=24"
] |
Current State: 24:[58, 25, 89, 32], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [89, 32, 33]
Generated Node #2: [89, 32, 33] from Operation: 58-25=33
Current State: 24:[89, 32, 33], Operations: ['58-25=33']
Exploring Operation: 89-32=57, Resulting Numbers: [33, 57]
Generated Node #3: [33, 57] from Operation: 89-32=57
Current State: 24:[33, 57], Operations: ['58-25=33', '89-32=57']
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[58, 25, 89, 32], Operations: []
Exploring Operation: 58-25=33, Resulting Numbers: [89, 32, 33]
Generated Node #0,0: 24:[89, 32, 33] Operation: 58-25=33
Exploring Operation: 58-32=26, Resulting Numbers: [25, 89, 26]
Generated Node #0,1: 24:[25, 89, 26] Operation: 58-32=26
Exploring Operation: 89-32=57, Resulting Numbers: [58, 25, 57]
Generated Node #0,2: 24:[58, 25, 57] Operation: 89-32=57
Exploring Operation: 89-58=31, Resulting Numbers: [25, 32, 31]
Generated Node #0,3: 24:[25, 32, 31] Operation: 89-58=31
Moving to Node #0,3
Current State: 24:[25, 32, 31], Operations: ['89-58=31']
Exploring Operation: 25+32=57, Resulting Numbers: [31, 57]
Generated Node #0,3,0: 24:[31, 57] Operation: 25+32=57
Exploring Operation: 31-25=6, Resulting Numbers: [32, 6]
Generated Node #0,3,1: 24:[32, 6] Operation: 31-25=6
Exploring Operation: 32-31=1, Resulting Numbers: [25, 1]
Generated Node #0,3,2: 24:[25, 1] Operation: 32-31=1
Exploring Operation: 32-25=7, Resulting Numbers: [31, 7]
Generated Node #0,3,3: 24:[31, 7] Operation: 32-25=7
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[25, 1], Operations: ['89-58=31', '32-31=1']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[58, 25, 89, 32], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [25, 32, 31]
Generated Node #0,3: 24:[25, 32, 31] Operation: 89-58=31
Moving to Node #0,3
Current State: 24:[25, 32, 31], Operations: ['89-58=31']
Exploring Operation: 32-31=1, Resulting Numbers: [25, 1]
Generated Node #0,3,2: 24:[25, 1] Operation: 32-31=1
Moving to Node #0,3,2
Current State: 24:[25, 1], Operations: ['89-58=31', '32-31=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_4
|
sum_heuristic
|
[
72,
46,
75,
80
] | 58
|
[
"75-72=3",
"46*3=138",
"138-80=58"
] |
Current State: 58:[72, 46, 75, 80], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [46, 80, 3]
Generated Node #2: [46, 80, 3] from Operation: 75-72=3
Current State: 58:[46, 80, 3], Operations: ['75-72=3']
Exploring Operation: 46*3=138, Resulting Numbers: [80, 138]
Generated Node #3: [80, 138] from Operation: 46*3=138
Current State: 58:[80, 138], Operations: ['75-72=3', '46*3=138']
Exploring Operation: 138-80=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[72, 46, 75, 80], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [72, 46, 5]
Generated Node #0,0: 58:[72, 46, 5] Operation: 80-75=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[72, 46, 5], Operations: ['80-75=5']
Exploring Operation: 72-46=26, Resulting Numbers: [5, 26]
Generated Node #0,0,0: 58:[5, 26] Operation: 72-46=26
Moving to Node #0,0,0
Current State: 58:[5, 26], Operations: ['80-75=5', '72-46=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,58 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
|
[
66,
38,
56,
7
] | 77
|
[
"66-38=28",
"56-7=49",
"28+49=77"
] |
Current State: 77:[66, 38, 56, 7], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [56, 7, 28]
Generated Node #2: [56, 7, 28] from Operation: 66-38=28
Current State: 77:[56, 7, 28], Operations: ['66-38=28']
Exploring Operation: 56-7=49, Resulting Numbers: [28, 49]
Generated Node #3: [28, 49] from Operation: 56-7=49
Current State: 77:[28, 49], Operations: ['66-38=28', '56-7=49']
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[66, 38, 56, 7], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [56, 7, 28]
Generated Node #0,0: 77:[56, 7, 28] Operation: 66-38=28
Exploring Operation: 66-56=10, Resulting Numbers: [38, 7, 10]
Generated Node #0,1: 77:[38, 7, 10] Operation: 66-56=10
Exploring Operation: 38+56=94, Resulting Numbers: [66, 7, 94]
Generated Node #0,2: 77:[66, 7, 94] Operation: 38+56=94
Exploring Operation: 56-38=18, Resulting Numbers: [66, 7, 18]
Generated Node #0,3: 77:[66, 7, 18] Operation: 56-38=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[66, 7, 18], Operations: ['56-38=18']
Exploring Operation: 18-7=11, Resulting Numbers: [66, 11]
Generated Node #0,3,0: 77:[66, 11] Operation: 18-7=11
Exploring Operation: 66-7=59, Resulting Numbers: [18, 59]
Generated Node #0,3,1: 77:[18, 59] Operation: 66-7=59
Exploring Operation: 66+18=84, Resulting Numbers: [7, 84]
Generated Node #0,3,2: 77:[7, 84] Operation: 66+18=84
Exploring Operation: 66+7=73, Resulting Numbers: [18, 73]
Generated Node #0,3,3: 77:[18, 73] Operation: 66+7=73
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 77:[7, 84], Operations: ['56-38=18', '66+18=84']
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,77 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[66, 38, 56, 7], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [66, 7, 18]
Generated Node #0,3: 77:[66, 7, 18] Operation: 56-38=18
Moving to Node #0,3
Current State: 77:[66, 7, 18], Operations: ['56-38=18']
Exploring Operation: 66+18=84, Resulting Numbers: [7, 84]
Generated Node #0,3,2: 77:[7, 84] Operation: 66+18=84
Moving to Node #0,3,2
Current State: 77:[7, 84], Operations: ['56-38=18', '66+18=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
mult_heuristic
|
[
55,
77,
27,
99
] | 76
|
[
"77*27=2079",
"2079/99=21",
"55+21=76"
] |
Current State: 76:[55, 77, 27, 99], Operations: []
Exploring Operation: 77*27=2079, Resulting Numbers: [55, 99, 2079]
Generated Node #2: [55, 99, 2079] from Operation: 77*27=2079
Current State: 76:[55, 99, 2079], Operations: ['77*27=2079']
Exploring Operation: 2079/99=21, Resulting Numbers: [55, 21]
Generated Node #3: [55, 21] from Operation: 2079/99=21
Current State: 76:[55, 21], Operations: ['77*27=2079', '2079/99=21']
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[55, 77, 27, 99], Operations: []
Exploring Operation: 99-27=72, Resulting Numbers: [55, 77, 72]
Generated Node #0,0: 76:[55, 77, 72] Operation: 99-27=72
Exploring Operation: 99-77=22, Resulting Numbers: [55, 27, 22]
Generated Node #0,1: 76:[55, 27, 22] Operation: 99-77=22
Exploring Operation: 99-55=44, Resulting Numbers: [77, 27, 44]
Generated Node #0,2: 76:[77, 27, 44] Operation: 99-55=44
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[77, 27, 44], Operations: ['99-55=44']
Exploring Operation: 77-44=33, Resulting Numbers: [27, 33]
Generated Node #0,2,0: 76:[27, 33] Operation: 77-44=33
Exploring Operation: 27+44=71, Resulting Numbers: [77, 71]
Generated Node #0,2,1: 76:[77, 71] Operation: 27+44=71
Exploring Operation: 44-27=17, Resulting Numbers: [77, 17]
Generated Node #0,2,2: 76:[77, 17] Operation: 44-27=17
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[77, 17], Operations: ['99-55=44', '44-27=17']
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 77*17=1309, Resulting Numbers: [1309]
1309,76 unequal: No Solution
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,76 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 #0,2,1
Current State: 76:[77, 71], Operations: ['99-55=44', '27+44=71']
Exploring Operation: 77-71=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 77*71=5467, Resulting Numbers: [5467]
5467,76 unequal: No Solution
Exploring Operation: 77+71=148, Resulting Numbers: [148]
148,76 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 #0,2,0
Current State: 76:[27, 33], Operations: ['99-55=44', '77-44=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 27*33=891, Resulting Numbers: [891]
891,76 unequal: No Solution
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,76 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:[55, 77, 72], Operations: ['99-27=72']
Exploring Operation: 77-55=22, Resulting Numbers: [72, 22]
Generated Node #0,0,0: 76:[72, 22] Operation: 77-55=22
Exploring Operation: 72-55=17, Resulting Numbers: [77, 17]
Generated Node #0,0,1: 76:[77, 17] Operation: 72-55=17
Exploring Operation: 77-72=5, Resulting Numbers: [55, 5]
Generated Node #0,0,2: 76:[55, 5] Operation: 77-72=5
Moving to Node #0,0,1
Current State: 76:[77, 17], Operations: ['99-27=72', '72-55=17']
Exploring Operation: 77-17=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 77+17=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 77*17=1309, Resulting Numbers: [1309]
1309,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[72, 22], Operations: ['99-27=72', '77-55=22']
Exploring Operation: 72+22=94, Resulting Numbers: [94]
94,76 unequal: No Solution
Exploring Operation: 72*22=1584, Resulting Numbers: [1584]
1584,76 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[55, 5], Operations: ['99-27=72', '77-72=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,76 unequal: No Solution
No 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: 76:[55, 27, 22], Operations: ['99-77=22']
Exploring Operation: 55+27=82, Resulting Numbers: [22, 82]
Generated Node #0,1,0: 76:[22, 82] Operation: 55+27=82
Exploring Operation: 55+22=77, Resulting Numbers: [27, 77]
Generated Node #0,1,1: 76:[27, 77] Operation: 55+22=77
Exploring Operation: 55-27=28, Resulting Numbers: [22, 28]
Generated Node #0,1,2: 76:[22, 28] Operation: 55-27=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[22, 82], Operations: ['99-77=22', '55+27=82']
Exploring Operation: 22*82=1804, Resulting Numbers: [1804]
1804,76 unequal: No Solution
Exploring Operation: 82-22=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 22+82=104, Resulting Numbers: [104]
104,76 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:[27, 77], Operations: ['99-77=22', '55+22=77']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 27*77=2079, Resulting Numbers: [2079]
2079,76 unequal: No Solution
Exploring Operation: 27+77=104, Resulting Numbers: [104]
104,76 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:[22, 28], Operations: ['99-77=22', '55-27=28']
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,76 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,76 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
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
1,
19,
36,
92
] | 38
|
[
"19-1=18",
"92-36=56",
"56-18=38"
] |
Current State: 38:[1, 19, 36, 92], Operations: []
Exploring Operation: 19-1=18, Resulting Numbers: [36, 92, 18]
Generated Node #2: [36, 92, 18] from Operation: 19-1=18
Current State: 38:[36, 92, 18], Operations: ['19-1=18']
Exploring Operation: 92-36=56, Resulting Numbers: [18, 56]
Generated Node #3: [18, 56] from Operation: 92-36=56
Current State: 38:[18, 56], Operations: ['19-1=18', '92-36=56']
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4
|
Current State: 38:[1, 19, 36, 92], Operations: []
Exploring Operation: 1+36=37, Resulting Numbers: [19, 92, 37]
Generated Node #0,0: 38:[19, 92, 37] Operation: 1+36=37
Exploring Operation: 92-36=56, Resulting Numbers: [1, 19, 56]
Generated Node #0,1: 38:[1, 19, 56] Operation: 92-36=56
Exploring Operation: 92-1=91, Resulting Numbers: [19, 36, 91]
Generated Node #0,2: 38:[19, 36, 91] Operation: 92-1=91
Exploring Operation: 92-19=73, Resulting Numbers: [1, 36, 73]
Generated Node #0,3: 38:[1, 36, 73] Operation: 92-19=73
Moving to Node #0,1
Current State: 38:[1, 19, 56], Operations: ['92-36=56']
Exploring Operation: 1*19=19, Resulting Numbers: [56, 19]
Generated Node #0,1,0: 38:[56, 19] Operation: 1*19=19
Exploring Operation: 56-19=37, Resulting Numbers: [1, 37]
Generated Node #0,1,1: 38:[1, 37] Operation: 56-19=37
Exploring Operation: 19/1=19, Resulting Numbers: [56, 19]
Generated Node #0,1,2: 38:[56, 19] Operation: 19/1=19
Exploring Operation: 56-1=55, Resulting Numbers: [19, 55]
Generated Node #0,1,3: 38:[19, 55] Operation: 56-1=55
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[1, 37], Operations: ['92-36=56', '56-19=37']
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[1, 19, 36, 92], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [1, 19, 56]
Generated Node #0,1: 38:[1, 19, 56] Operation: 92-36=56
Moving to Node #0,1
Current State: 38:[1, 19, 56], Operations: ['92-36=56']
Exploring Operation: 56-19=37, Resulting Numbers: [1, 37]
Generated Node #0,1,1: 38:[1, 37] Operation: 56-19=37
Moving to Node #0,1,1
Current State: 38:[1, 37], Operations: ['92-36=56', '56-19=37']
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
mult_heuristic
|
[
5,
45,
3,
76
] | 54
|
[
"5+76=81",
"45*3=135",
"135-81=54"
] |
Current State: 54:[5, 45, 3, 76], Operations: []
Exploring Operation: 5+76=81, Resulting Numbers: [45, 3, 81]
Generated Node #2: [45, 3, 81] from Operation: 5+76=81
Current State: 54:[45, 3, 81], Operations: ['5+76=81']
Exploring Operation: 45*3=135, Resulting Numbers: [81, 135]
Generated Node #3: [81, 135] from Operation: 45*3=135
Current State: 54:[81, 135], Operations: ['5+76=81', '45*3=135']
Exploring Operation: 135-81=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[5, 45, 3, 76], Operations: []
Exploring Operation: 76-45=31, Resulting Numbers: [5, 3, 31]
Generated Node #0,0: 54:[5, 3, 31] Operation: 76-45=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[5, 3, 31], Operations: ['76-45=31']
Exploring Operation: 31-5=26, Resulting Numbers: [3, 26]
Generated Node #0,0,0: 54:[3, 26] Operation: 31-5=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[3, 26], Operations: ['76-45=31', '31-5=26']
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,54 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,
64,
82,
3
] | 12
|
[
"9+64=73",
"82+3=85",
"85-73=12"
] |
Current State: 12:[9, 64, 82, 3], Operations: []
Exploring Operation: 9+64=73, Resulting Numbers: [82, 3, 73]
Generated Node #2: [82, 3, 73] from Operation: 9+64=73
Current State: 12:[82, 3, 73], Operations: ['9+64=73']
Exploring Operation: 82+3=85, Resulting Numbers: [73, 85]
Generated Node #3: [73, 85] from Operation: 82+3=85
Current State: 12:[73, 85], Operations: ['9+64=73', '82+3=85']
Exploring Operation: 85-73=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[9, 64, 82, 3], Operations: []
Exploring Operation: 9+3=12, Resulting Numbers: [64, 82, 12]
Generated Node #0,0: 12:[64, 82, 12] Operation: 9+3=12
Exploring Operation: 82-9=73, Resulting Numbers: [64, 3, 73]
Generated Node #0,1: 12:[64, 3, 73] Operation: 82-9=73
Exploring Operation: 64-9=55, Resulting Numbers: [82, 3, 55]
Generated Node #0,2: 12:[82, 3, 55] Operation: 64-9=55
Exploring Operation: 9-3=6, Resulting Numbers: [64, 82, 6]
Generated Node #0,3: 12:[64, 82, 6] Operation: 9-3=6
Exploring Operation: 82-64=18, Resulting Numbers: [9, 3, 18]
Generated Node #0,4: 12:[9, 3, 18] Operation: 82-64=18
Start Sub Search at level 1: Moving to Node #0,4
Current State: 12:[9, 3, 18], Operations: ['82-64=18']
Exploring Operation: 9-3=6, Resulting Numbers: [18, 6]
Generated Node #0,4,0: 12:[18, 6] Operation: 9-3=6
Exploring Operation: 9+3=12, Resulting Numbers: [18, 12]
Generated Node #0,4,1: 12:[18, 12] Operation: 9+3=12
Exploring Operation: 18/9=2, Resulting Numbers: [3, 2]
Generated Node #0,4,2: 12:[3, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [3, 9]
Generated Node #0,4,3: 12:[3, 9] Operation: 18-9=9
Exploring Operation: 18/3=6, Resulting Numbers: [9, 6]
Generated Node #0,4,4: 12:[9, 6] Operation: 18/3=6
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 12:[3, 2], Operations: ['82-64=18', '18/9=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,12 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: 12:[3, 9], Operations: ['82-64=18', '18-9=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[9, 64, 82, 3], Operations: []
Exploring Operation: 82-64=18, Resulting Numbers: [9, 3, 18]
Generated Node #0,4: 12:[9, 3, 18] Operation: 82-64=18
Moving to Node #0,4
Current State: 12:[9, 3, 18], Operations: ['82-64=18']
Exploring Operation: 18-9=9, Resulting Numbers: [3, 9]
Generated Node #0,4,3: 12:[3, 9] Operation: 18-9=9
Moving to Node #0,4,3
Current State: 12:[3, 9], Operations: ['82-64=18', '18-9=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375
|
hs_5
|
sum_heuristic
|
[
65,
73,
66,
3
] | 70
|
[
"66-65=1",
"73-3=70",
"1*70=70"
] |
Current State: 70:[65, 73, 66, 3], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [73, 3, 1]
Generated Node #2: [73, 3, 1] from Operation: 66-65=1
Current State: 70:[73, 3, 1], Operations: ['66-65=1']
Exploring Operation: 73-3=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 73-3=70
Current State: 70:[1, 70], Operations: ['66-65=1', '73-3=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4
|
Current State: 70:[65, 73, 66, 3], Operations: []
Exploring Operation: 65+3=68, Resulting Numbers: [73, 66, 68]
Generated Node #0,0: 70:[73, 66, 68] Operation: 65+3=68
Exploring Operation: 73-65=8, Resulting Numbers: [66, 3, 8]
Generated Node #0,1: 70:[66, 3, 8] Operation: 73-65=8
Exploring Operation: 73-3=70, Resulting Numbers: [65, 66, 70]
Generated Node #0,2: 70:[65, 66, 70] Operation: 73-3=70
Exploring Operation: 66-65=1, Resulting Numbers: [73, 3, 1]
Generated Node #0,3: 70:[73, 3, 1] Operation: 66-65=1
Exploring Operation: 73-66=7, Resulting Numbers: [65, 3, 7]
Generated Node #0,4: 70:[65, 3, 7] Operation: 73-66=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 70:[73, 3, 1], Operations: ['66-65=1']
Exploring Operation: 73*1=73, Resulting Numbers: [3, 73]
Generated Node #0,3,0: 70:[3, 73] Operation: 73*1=73
Exploring Operation: 3-1=2, Resulting Numbers: [73, 2]
Generated Node #0,3,1: 70:[73, 2] Operation: 3-1=2
Exploring Operation: 73/1=73, Resulting Numbers: [3, 73]
Generated Node #0,3,2: 70:[3, 73] Operation: 73/1=73
Exploring Operation: 73-3=70, Resulting Numbers: [1, 70]
Generated Node #0,3,3: 70:[1, 70] Operation: 73-3=70
Exploring Operation: 73-1=72, Resulting Numbers: [3, 72]
Generated Node #0,3,4: 70:[3, 72] Operation: 73-1=72
Moving to Node #0,3,3
Current State: 70:[1, 70], Operations: ['66-65=1', '73-3=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[65, 73, 66, 3], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [73, 3, 1]
Generated Node #0,3: 70:[73, 3, 1] Operation: 66-65=1
Moving to Node #0,3
Current State: 70:[73, 3, 1], Operations: ['66-65=1']
Exploring Operation: 73-3=70, Resulting Numbers: [1, 70]
Generated Node #0,3,3: 70:[1, 70] Operation: 73-3=70
Moving to Node #0,3,3
Current State: 70:[1, 70], Operations: ['66-65=1', '73-3=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
mult_heuristic
|
[
44,
56,
91,
66
] | 13
|
[
"56-44=12",
"91-66=25",
"25-12=13"
] |
Current State: 13:[44, 56, 91, 66], Operations: []
Exploring Operation: 56-44=12, Resulting Numbers: [91, 66, 12]
Generated Node #2: [91, 66, 12] from Operation: 56-44=12
Current State: 13:[91, 66, 12], Operations: ['56-44=12']
Exploring Operation: 91-66=25, Resulting Numbers: [12, 25]
Generated Node #3: [12, 25] from Operation: 91-66=25
Current State: 13:[12, 25], Operations: ['56-44=12', '91-66=25']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[44, 56, 91, 66], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [44, 56, 25]
Generated Node #0,0: 13:[44, 56, 25] Operation: 91-66=25
Exploring Operation: 66-56=10, Resulting Numbers: [44, 91, 10]
Generated Node #0,1: 13:[44, 91, 10] Operation: 66-56=10
Exploring Operation: 91-44=47, Resulting Numbers: [56, 66, 47]
Generated Node #0,2: 13:[56, 66, 47] Operation: 91-44=47
Exploring Operation: 66-44=22, Resulting Numbers: [56, 91, 22]
Generated Node #0,3: 13:[56, 91, 22] Operation: 66-44=22
Exploring Operation: 91-56=35, Resulting Numbers: [44, 66, 35]
Generated Node #0,4: 13:[44, 66, 35] Operation: 91-56=35
Moving to Node #0,0
Current State: 13:[44, 56, 25], Operations: ['91-66=25']
Exploring Operation: 44+25=69, Resulting Numbers: [56, 69]
Generated Node #0,0,0: 13:[56, 69] Operation: 44+25=69
Exploring Operation: 44+56=100, Resulting Numbers: [25, 100]
Generated Node #0,0,1: 13:[25, 100] Operation: 44+56=100
Exploring Operation: 44-25=19, Resulting Numbers: [56, 19]
Generated Node #0,0,2: 13:[56, 19] Operation: 44-25=19
Exploring Operation: 56-25=31, Resulting Numbers: [44, 31]
Generated Node #0,0,3: 13:[44, 31] Operation: 56-25=31
Exploring Operation: 56-44=12, Resulting Numbers: [25, 12]
Generated Node #0,0,4: 13:[25, 12] Operation: 56-44=12
Moving to Node #0,4
Current State: 13:[44, 66, 35], Operations: ['91-56=35']
Exploring Operation: 66-35=31, Resulting Numbers: [44, 31]
Generated Node #0,4,0: 13:[44, 31] Operation: 66-35=31
Exploring Operation: 44+35=79, Resulting Numbers: [66, 79]
Generated Node #0,4,1: 13:[66, 79] Operation: 44+35=79
Exploring Operation: 44+66=110, Resulting Numbers: [35, 110]
Generated Node #0,4,2: 13:[35, 110] Operation: 44+66=110
Exploring Operation: 44-35=9, Resulting Numbers: [66, 9]
Generated Node #0,4,3: 13:[66, 9] Operation: 44-35=9
Exploring Operation: 66-44=22, Resulting Numbers: [35, 22]
Generated Node #0,4,4: 13:[35, 22] Operation: 66-44=22
Moving to Node #0,1
Current State: 13:[44, 91, 10], Operations: ['66-56=10']
Exploring Operation: 91-44=47, Resulting Numbers: [10, 47]
Generated Node #0,1,0: 13:[10, 47] Operation: 91-44=47
Exploring Operation: 91+10=101, Resulting Numbers: [44, 101]
Generated Node #0,1,1: 13:[44, 101] Operation: 91+10=101
Exploring Operation: 44-10=34, Resulting Numbers: [91, 34]
Generated Node #0,1,2: 13:[91, 34] Operation: 44-10=34
Exploring Operation: 91-10=81, Resulting Numbers: [44, 81]
Generated Node #0,1,3: 13:[44, 81] Operation: 91-10=81
Exploring Operation: 44+10=54, Resulting Numbers: [91, 54]
Generated Node #0,1,4: 13:[91, 54] Operation: 44+10=54
Moving to Node #0,2
Current State: 13:[56, 66, 47], Operations: ['91-44=47']
Exploring Operation: 56-47=9, Resulting Numbers: [66, 9]
Generated Node #0,2,0: 13:[66, 9] Operation: 56-47=9
Exploring Operation: 66-56=10, Resulting Numbers: [47, 10]
Generated Node #0,2,1: 13:[47, 10] Operation: 66-56=10
Exploring Operation: 56+66=122, Resulting Numbers: [47, 122]
Generated Node #0,2,2: 13:[47, 122] Operation: 56+66=122
Exploring Operation: 56+47=103, Resulting Numbers: [66, 103]
Generated Node #0,2,3: 13:[66, 103] Operation: 56+47=103
Exploring Operation: 66-47=19, Resulting Numbers: [56, 19]
Generated Node #0,2,4: 13:[56, 19] Operation: 66-47=19
Moving to Node #0,3
Current State: 13:[56, 91, 22], Operations: ['66-44=22']
Exploring Operation: 56-22=34, Resulting Numbers: [91, 34]
Generated Node #0,3,0: 13:[91, 34] Operation: 56-22=34
Exploring Operation: 91-22=69, Resulting Numbers: [56, 69]
Generated Node #0,3,1: 13:[56, 69] Operation: 91-22=69
Exploring Operation: 56+22=78, Resulting Numbers: [91, 78]
Generated Node #0,3,2: 13:[91, 78] Operation: 56+22=78
Exploring Operation: 91-56=35, Resulting Numbers: [22, 35]
Generated Node #0,3,3: 13:[22, 35] Operation: 91-56=35
Exploring Operation: 56+91=147, Resulting Numbers: [22, 147]
Generated Node #0,3,4: 13:[22, 147] Operation: 56+91=147
Moving to Node #0,0,4
Current State: 13:[25, 12], Operations: ['91-66=25', '56-44=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[44, 56, 91, 66], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [44, 56, 25]
Generated Node #0,0: 13:[44, 56, 25] Operation: 91-66=25
Moving to Node #0,0
Current State: 13:[44, 56, 25], Operations: ['91-66=25']
Exploring Operation: 56-44=12, Resulting Numbers: [25, 12]
Generated Node #0,0,4: 13:[25, 12] Operation: 56-44=12
Moving to Node #0,0,4
Current State: 13:[25, 12], Operations: ['91-66=25', '56-44=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.969618
|
hs_5
|
mult_heuristic
|
[
42,
86,
41,
56
] | 60
|
[
"86-41=45",
"56*45=2520",
"2520/42=60"
] |
Current State: 60:[42, 86, 41, 56], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [42, 56, 45]
Generated Node #2: [42, 56, 45] from Operation: 86-41=45
Current State: 60:[42, 56, 45], Operations: ['86-41=45']
Exploring Operation: 56*45=2520, Resulting Numbers: [42, 2520]
Generated Node #3: [42, 2520] from Operation: 56*45=2520
Current State: 60:[42, 2520], Operations: ['86-41=45', '56*45=2520']
Exploring Operation: 2520/42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4
|
Current State: 60:[42, 86, 41, 56], Operations: []
Exploring Operation: 86-56=30, Resulting Numbers: [42, 41, 30]
Generated Node #0,0: 60:[42, 41, 30] Operation: 86-56=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[42, 41, 30], Operations: ['86-56=30']
Exploring Operation: 42-41=1, Resulting Numbers: [30, 1]
Generated Node #0,0,0: 60:[30, 1] Operation: 42-41=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[30, 1], Operations: ['86-56=30', '42-41=1']
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,60 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
|
[
83,
6,
79,
72
] | 36
|
[
"83-6=77",
"79-77=2",
"72/2=36"
] |
Current State: 36:[83, 6, 79, 72], Operations: []
Exploring Operation: 83-6=77, Resulting Numbers: [79, 72, 77]
Generated Node #2: [79, 72, 77] from Operation: 83-6=77
Current State: 36:[79, 72, 77], Operations: ['83-6=77']
Exploring Operation: 79-77=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 79-77=2
Current State: 36:[72, 2], Operations: ['83-6=77', '79-77=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[83, 6, 79, 72], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [6, 72, 4]
Generated Node #0,0: 36:[6, 72, 4] Operation: 83-79=4
Moving to Node #0,0
Current State: 36:[6, 72, 4], Operations: ['83-79=4']
Exploring Operation: 72/6=12, Resulting Numbers: [4, 12]
Generated Node #0,0,0: 36:[4, 12] Operation: 72/6=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[4, 12], Operations: ['83-79=4', '72/6=12']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
18,
81,
60,
8
] | 11
|
[
"81-18=63",
"60-8=52",
"63-52=11"
] |
Current State: 11:[18, 81, 60, 8], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [60, 8, 63]
Generated Node #2: [60, 8, 63] from Operation: 81-18=63
Current State: 11:[60, 8, 63], Operations: ['81-18=63']
Exploring Operation: 60-8=52, Resulting Numbers: [63, 52]
Generated Node #3: [63, 52] from Operation: 60-8=52
Current State: 11:[63, 52], Operations: ['81-18=63', '60-8=52']
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[18, 81, 60, 8], Operations: []
Exploring Operation: 81-60=21, Resulting Numbers: [18, 8, 21]
Generated Node #0,0: 11:[18, 8, 21] Operation: 81-60=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[18, 8, 21], Operations: ['81-60=21']
Exploring Operation: 21-8=13, Resulting Numbers: [18, 13]
Generated Node #0,0,0: 11:[18, 13] Operation: 21-8=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[18, 13], Operations: ['81-60=21', '21-8=13']
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
62,
13,
97,
55
] | 64
|
[
"13+97=110",
"110/55=2",
"62+2=64"
] |
Current State: 64:[62, 13, 97, 55], Operations: []
Exploring Operation: 13+97=110, Resulting Numbers: [62, 55, 110]
Generated Node #2: [62, 55, 110] from Operation: 13+97=110
Current State: 64:[62, 55, 110], Operations: ['13+97=110']
Exploring Operation: 110/55=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 110/55=2
Current State: 64:[62, 2], Operations: ['13+97=110', '110/55=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[62, 13, 97, 55], Operations: []
Exploring Operation: 97-13=84, Resulting Numbers: [62, 55, 84]
Generated Node #0,0: 64:[62, 55, 84] Operation: 97-13=84
Exploring Operation: 97-62=35, Resulting Numbers: [13, 55, 35]
Generated Node #0,1: 64:[13, 55, 35] Operation: 97-62=35
Exploring Operation: 97-55=42, Resulting Numbers: [62, 13, 42]
Generated Node #0,2: 64:[62, 13, 42] Operation: 97-55=42
Exploring Operation: 13+55=68, Resulting Numbers: [62, 97, 68]
Generated Node #0,3: 64:[62, 97, 68] Operation: 13+55=68
Exploring Operation: 62-55=7, Resulting Numbers: [13, 97, 7]
Generated Node #0,4: 64:[13, 97, 7] Operation: 62-55=7
Moving to Node #0,1
Current State: 64:[13, 55, 35], Operations: ['97-62=35']
Exploring Operation: 13+35=48, Resulting Numbers: [55, 48]
Generated Node #0,1,0: 64:[55, 48] Operation: 13+35=48
Exploring Operation: 13+55=68, Resulting Numbers: [35, 68]
Generated Node #0,1,1: 64:[35, 68] Operation: 13+55=68
Exploring Operation: 55-13=42, Resulting Numbers: [35, 42]
Generated Node #0,1,2: 64:[35, 42] Operation: 55-13=42
Exploring Operation: 55-35=20, Resulting Numbers: [13, 20]
Generated Node #0,1,3: 64:[13, 20] Operation: 55-35=20
Exploring Operation: 35-13=22, Resulting Numbers: [55, 22]
Generated Node #0,1,4: 64:[55, 22] Operation: 35-13=22
Moving to Node #0,2
Current State: 64:[62, 13, 42], Operations: ['97-55=42']
Exploring Operation: 62-42=20, Resulting Numbers: [13, 20]
Generated Node #0,2,0: 64:[13, 20] Operation: 62-42=20
Exploring Operation: 62-13=49, Resulting Numbers: [42, 49]
Generated Node #0,2,1: 64:[42, 49] Operation: 62-13=49
Exploring Operation: 62+13=75, Resulting Numbers: [42, 75]
Generated Node #0,2,2: 64:[42, 75] Operation: 62+13=75
Exploring Operation: 13+42=55, Resulting Numbers: [62, 55]
Generated Node #0,2,3: 64:[62, 55] Operation: 13+42=55
Exploring Operation: 42-13=29, Resulting Numbers: [62, 29]
Generated Node #0,2,4: 64:[62, 29] Operation: 42-13=29
Moving to Node #0,0
Current State: 64:[62, 55, 84], Operations: ['97-13=84']
Exploring Operation: 62-55=7, Resulting Numbers: [84, 7]
Generated Node #0,0,0: 64:[84, 7] Operation: 62-55=7
Exploring Operation: 84-62=22, Resulting Numbers: [55, 22]
Generated Node #0,0,1: 64:[55, 22] Operation: 84-62=22
Exploring Operation: 55+84=139, Resulting Numbers: [62, 139]
Generated Node #0,0,2: 64:[62, 139] Operation: 55+84=139
Exploring Operation: 84-55=29, Resulting Numbers: [62, 29]
Generated Node #0,0,3: 64:[62, 29] Operation: 84-55=29
Exploring Operation: 62+55=117, Resulting Numbers: [84, 117]
Generated Node #0,0,4: 64:[84, 117] Operation: 62+55=117
Moving to Node #0,4
Current State: 64:[13, 97, 7], Operations: ['62-55=7']
Exploring Operation: 13-7=6, Resulting Numbers: [97, 6]
Generated Node #0,4,0: 64:[97, 6] Operation: 13-7=6
Exploring Operation: 97+7=104, Resulting Numbers: [13, 104]
Generated Node #0,4,1: 64:[13, 104] Operation: 97+7=104
Exploring Operation: 97-13=84, Resulting Numbers: [7, 84]
Generated Node #0,4,2: 64:[7, 84] Operation: 97-13=84
Exploring Operation: 13+7=20, Resulting Numbers: [97, 20]
Generated Node #0,4,3: 64:[97, 20] Operation: 13+7=20
Exploring Operation: 97-7=90, Resulting Numbers: [13, 90]
Generated Node #0,4,4: 64:[13, 90] Operation: 97-7=90
Moving to Node #0,3
Current State: 64:[62, 97, 68], Operations: ['13+55=68']
Exploring Operation: 97-68=29, Resulting Numbers: [62, 29]
Generated Node #0,3,0: 64:[62, 29] Operation: 97-68=29
Exploring Operation: 68-62=6, Resulting Numbers: [97, 6]
Generated Node #0,3,1: 64:[97, 6] Operation: 68-62=6
Exploring Operation: 97-62=35, Resulting Numbers: [68, 35]
Generated Node #0,3,2: 64:[68, 35] Operation: 97-62=35
Exploring Operation: 62+68=130, Resulting Numbers: [97, 130]
Generated Node #0,3,3: 64:[97, 130] Operation: 62+68=130
Exploring Operation: 62+97=159, Resulting Numbers: [68, 159]
Generated Node #0,3,4: 64:[68, 159] Operation: 62+97=159
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[62, 29], Operations: ['13+55=68', '97-68=29']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,64 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,64 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 #0,3,2
Current State: 64:[68, 35], Operations: ['13+55=68', '97-62=35']
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,64 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 #0,3,1
Current State: 64:[97, 6], Operations: ['13+55=68', '68-62=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,64 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,64 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 #0,3,3
Current State: 64:[97, 130], Operations: ['13+55=68', '62+68=130']
Exploring Operation: 97+130=227, Resulting Numbers: [227]
227,64 unequal: No Solution
Exploring Operation: 97*130=12610, Resulting Numbers: [12610]
12610,64 unequal: No Solution
Exploring Operation: 130-97=33, Resulting Numbers: [33]
33,64 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 #0,3,4
Current State: 64:[68, 159], Operations: ['13+55=68', '62+97=159']
Exploring Operation: 68*159=10812, Resulting Numbers: [10812]
10812,64 unequal: No Solution
Exploring Operation: 68+159=227, Resulting Numbers: [227]
227,64 unequal: No Solution
Exploring Operation: 159-68=91, Resulting Numbers: [91]
91,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 64:[62, 29], Operations: ['97-55=42', '42-13=29']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,64 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[62, 29], Operations: ['97-13=84', '84-55=29']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[35, 68], Operations: ['97-62=35', '13+55=68']
Exploring Operation: 35*68=2380, Resulting Numbers: [2380]
2380,64 unequal: No Solution
Exploring Operation: 35+68=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[13, 20], Operations: ['97-55=42', '62-42=20']
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,64 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[13, 20], Operations: ['97-62=35', '55-35=20']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 13*20=260, Resulting Numbers: [260]
260,64 unequal: No Solution
Exploring Operation: 13+20=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[62, 55], Operations: ['97-55=42', '13+42=55']
Exploring Operation: 62+55=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 62*55=3410, Resulting Numbers: [3410]
3410,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[35, 42], Operations: ['97-62=35', '55-13=42']
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 35*42=1470, Resulting Numbers: [1470]
1470,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[55, 22], Operations: ['97-13=84', '84-62=22']
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,64 unequal: No Solution
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[55, 22], Operations: ['97-62=35', '35-13=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[84, 7], Operations: ['97-13=84', '62-55=7']
Exploring Operation: 84*7=588, Resulting Numbers: [588]
588,64 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[42, 75], Operations: ['97-55=42', '62+13=75']
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,64 unequal: No Solution
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[7, 84], Operations: ['62-55=7', '97-13=84']
Exploring Operation: 7*84=588, Resulting Numbers: [588]
588,64 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 7+84=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[55, 48], Operations: ['97-62=35', '13+35=48']
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[42, 49], Operations: ['97-55=42', '62-13=49']
Exploring Operation: 42+49=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 49-42=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 42*49=2058, Resulting Numbers: [2058]
2058,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[13, 90], Operations: ['62-55=7', '97-7=90']
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 13+90=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 13*90=1170, Resulting Numbers: [1170]
1170,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[97, 6], Operations: ['62-55=7', '13-7=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,64 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Moving to Node #0,4,3
Current State: 64:[97, 20], Operations: ['62-55=7', '13+7=20']
Exploring Operation: 97+20=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Exploring Operation: 97*20=1940, Resulting Numbers: [1940]
1940,64 unequal: No Solution
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[13, 104], Operations: ['62-55=7', '97+7=104']
Exploring Operation: 104-13=91, Resulting Numbers: [91]
91,64 unequal: No Solution
Exploring Operation: 13+104=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Exploring Operation: 13*104=1352, Resulting Numbers: [1352]
1352,64 unequal: No Solution
Exploring Operation: 104/13=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[84, 117], Operations: ['97-13=84', '62+55=117']
Exploring Operation: 84*117=9828, Resulting Numbers: [9828]
9828,64 unequal: No Solution
Exploring Operation: 84+117=201, Resulting Numbers: [201]
201,64 unequal: No Solution
Exploring Operation: 117-84=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[62, 139], Operations: ['97-13=84', '55+84=139']
Exploring Operation: 62*139=8618, Resulting Numbers: [8618]
8618,64 unequal: No Solution
Exploring Operation: 139-62=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 62+139=201, Resulting Numbers: [201]
201,64 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
80,
40,
71,
76
] | 81
|
[
"80/40=2",
"76*2=152",
"152-71=81"
] |
Current State: 81:[80, 40, 71, 76], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [71, 76, 2]
Generated Node #2: [71, 76, 2] from Operation: 80/40=2
Current State: 81:[71, 76, 2], Operations: ['80/40=2']
Exploring Operation: 76*2=152, Resulting Numbers: [71, 152]
Generated Node #3: [71, 152] from Operation: 76*2=152
Current State: 81:[71, 152], Operations: ['80/40=2', '76*2=152']
Exploring Operation: 152-71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[80, 40, 71, 76], Operations: []
Exploring Operation: 71-40=31, Resulting Numbers: [80, 76, 31]
Generated Node #0,0: 81:[80, 76, 31] Operation: 71-40=31
Exploring Operation: 80/40=2, Resulting Numbers: [71, 76, 2]
Generated Node #0,1: 81:[71, 76, 2] Operation: 80/40=2
Exploring Operation: 76-71=5, Resulting Numbers: [80, 40, 5]
Generated Node #0,2: 81:[80, 40, 5] Operation: 76-71=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[80, 76, 31], Operations: ['71-40=31']
Exploring Operation: 80-76=4, Resulting Numbers: [31, 4]
Generated Node #0,0,0: 81:[31, 4] Operation: 80-76=4
Exploring Operation: 76-31=45, Resulting Numbers: [80, 45]
Generated Node #0,0,1: 81:[80, 45] Operation: 76-31=45
Exploring Operation: 80-31=49, Resulting Numbers: [76, 49]
Generated Node #0,0,2: 81:[76, 49] Operation: 80-31=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[31, 4], Operations: ['71-40=31', '80-76=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,81 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,81 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 #0,0,1
Current State: 81:[80, 45], Operations: ['71-40=31', '76-31=45']
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 80*45=3600, Resulting Numbers: [3600]
3600,81 unequal: No Solution
Exploring Operation: 80+45=125, Resulting Numbers: [125]
125,81 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 #0,0,2
Current State: 81:[76, 49], Operations: ['71-40=31', '80-31=49']
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,81 unequal: No Solution
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,81 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:[71, 76, 2], Operations: ['80/40=2']
Exploring Operation: 71+2=73, Resulting Numbers: [76, 73]
Generated Node #0,1,0: 81:[76, 73] Operation: 71+2=73
Exploring Operation: 76+2=78, Resulting Numbers: [71, 78]
Generated Node #0,1,1: 81:[71, 78] Operation: 76+2=78
Exploring Operation: 76-71=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 81:[2, 5] Operation: 76-71=5
Moving to Node #0,1,2
Current State: 81:[2, 5], Operations: ['80/40=2', '76-71=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[76, 73], Operations: ['80/40=2', '71+2=73']
Exploring Operation: 76*73=5548, Resulting Numbers: [5548]
5548,81 unequal: No Solution
Exploring Operation: 76+73=149, Resulting Numbers: [149]
149,81 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[71, 78], Operations: ['80/40=2', '76+2=78']
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 71+78=149, Resulting Numbers: [149]
149,81 unequal: No Solution
Exploring Operation: 71*78=5538, Resulting Numbers: [5538]
5538,81 unequal: No Solution
No 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: 81:[80, 40, 5], Operations: ['76-71=5']
Exploring Operation: 40/5=8, Resulting Numbers: [80, 8]
Generated Node #0,2,0: 81:[80, 8] Operation: 40/5=8
Exploring Operation: 40-5=35, Resulting Numbers: [80, 35]
Generated Node #0,2,1: 81:[80, 35] Operation: 40-5=35
Exploring Operation: 80/40=2, Resulting Numbers: [5, 2]
Generated Node #0,2,2: 81:[5, 2] Operation: 80/40=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 81:[80, 8], Operations: ['76-71=5', '40/5=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,81 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,81 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 #0,2,2
Current State: 81:[5, 2], Operations: ['76-71=5', '80/40=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,81 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 #0,2,1
Current State: 81:[80, 35], Operations: ['76-71=5', '40-5=35']
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,81 unequal: No Solution
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,81 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_3
|
sum_heuristic
|
[
67,
33,
80,
75
] | 23
|
[
"75-67=8",
"80/8=10",
"33-10=23"
] |
Current State: 23:[67, 33, 80, 75], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [33, 80, 8]
Generated Node #2: [33, 80, 8] from Operation: 75-67=8
Current State: 23:[33, 80, 8], Operations: ['75-67=8']
Exploring Operation: 80/8=10, Resulting Numbers: [33, 10]
Generated Node #3: [33, 10] from Operation: 80/8=10
Current State: 23:[33, 10], Operations: ['75-67=8', '80/8=10']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[67, 33, 80, 75], Operations: []
Exploring Operation: 80-67=13, Resulting Numbers: [33, 75, 13]
Generated Node #0,0: 23:[33, 75, 13] Operation: 80-67=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[33, 75, 13], Operations: ['80-67=13']
Exploring Operation: 75-33=42, Resulting Numbers: [13, 42]
Generated Node #0,0,0: 23:[13, 42] Operation: 75-33=42
Moving to Node #0,0,0
Current State: 23:[13, 42], Operations: ['80-67=13', '75-33=42']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
5,
13,
21,
4
] | 28
|
[
"5*4=20",
"21-13=8",
"20+8=28"
] |
Current State: 28:[5, 13, 21, 4], Operations: []
Exploring Operation: 5*4=20, Resulting Numbers: [13, 21, 20]
Generated Node #2: [13, 21, 20] from Operation: 5*4=20
Current State: 28:[13, 21, 20], Operations: ['5*4=20']
Exploring Operation: 21-13=8, Resulting Numbers: [20, 8]
Generated Node #3: [20, 8] from Operation: 21-13=8
Current State: 28:[20, 8], Operations: ['5*4=20', '21-13=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4
|
Current State: 28:[5, 13, 21, 4], Operations: []
Exploring Operation: 5+21=26, Resulting Numbers: [13, 4, 26]
Generated Node #0,0: 28:[13, 4, 26] Operation: 5+21=26
Exploring Operation: 21+4=25, Resulting Numbers: [5, 13, 25]
Generated Node #0,1: 28:[5, 13, 25] Operation: 21+4=25
Exploring Operation: 21-13=8, Resulting Numbers: [5, 4, 8]
Generated Node #0,2: 28:[5, 4, 8] Operation: 21-13=8
Exploring Operation: 21-4=17, Resulting Numbers: [5, 13, 17]
Generated Node #0,3: 28:[5, 13, 17] Operation: 21-4=17
Exploring Operation: 21-5=16, Resulting Numbers: [13, 4, 16]
Generated Node #0,4: 28:[13, 4, 16] Operation: 21-5=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[5, 4, 8], Operations: ['21-13=8']
Exploring Operation: 8/4=2, Resulting Numbers: [5, 2]
Generated Node #0,2,0: 28:[5, 2] Operation: 8/4=2
Exploring Operation: 5+8=13, Resulting Numbers: [4, 13]
Generated Node #0,2,1: 28:[4, 13] Operation: 5+8=13
Exploring Operation: 5-4=1, Resulting Numbers: [8, 1]
Generated Node #0,2,2: 28:[8, 1] Operation: 5-4=1
Exploring Operation: 8-4=4, Resulting Numbers: [5, 4]
Generated Node #0,2,3: 28:[5, 4] Operation: 8-4=4
Exploring Operation: 8-5=3, Resulting Numbers: [4, 3]
Generated Node #0,2,4: 28:[4, 3] Operation: 8-5=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[5, 2], Operations: ['21-13=8', '8/4=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 28:[4, 13], Operations: ['21-13=8', '5+8=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 28:[5, 4], Operations: ['21-13=8', '8-4=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 28:[4, 3], Operations: ['21-13=8', '8-5=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 28:[8, 1], Operations: ['21-13=8', '5-4=1']
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[13, 4, 26], Operations: ['5+21=26']
Exploring Operation: 26/13=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 28:[4, 2] Operation: 26/13=2
Exploring Operation: 13+4=17, Resulting Numbers: [26, 17]
Generated Node #0,0,1: 28:[26, 17] Operation: 13+4=17
Exploring Operation: 26-13=13, Resulting Numbers: [4, 13]
Generated Node #0,0,2: 28:[4, 13] Operation: 26-13=13
Exploring Operation: 13-4=9, Resulting Numbers: [26, 9]
Generated Node #0,0,3: 28:[26, 9] Operation: 13-4=9
Exploring Operation: 4+26=30, Resulting Numbers: [13, 30]
Generated Node #0,0,4: 28:[13, 30] Operation: 4+26=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[4, 2], Operations: ['5+21=26', '26/13=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,28 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[4, 13], Operations: ['5+21=26', '26-13=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 28:[13, 30], Operations: ['5+21=26', '4+26=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 28:[26, 9], Operations: ['5+21=26', '13-4=9']
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[26, 17], Operations: ['5+21=26', '13+4=17']
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,28 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[13, 4, 16], Operations: ['21-5=16']
Exploring Operation: 16/4=4, Resulting Numbers: [13, 4]
Generated Node #0,4,0: 28:[13, 4] Operation: 16/4=4
Exploring Operation: 16-4=12, Resulting Numbers: [13, 12]
Generated Node #0,4,1: 28:[13, 12] Operation: 16-4=12
Exploring Operation: 13+16=29, Resulting Numbers: [4, 29]
Generated Node #0,4,2: 28:[4, 29] Operation: 13+16=29
Exploring Operation: 13-4=9, Resulting Numbers: [16, 9]
Generated Node #0,4,3: 28:[16, 9] Operation: 13-4=9
Exploring Operation: 16-13=3, Resulting Numbers: [4, 3]
Generated Node #0,4,4: 28:[4, 3] Operation: 16-13=3
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 28:[13, 4], Operations: ['21-5=16', '16/4=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,28 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 28:[4, 29], Operations: ['21-5=16', '13+16=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,28 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 28:[4, 3], Operations: ['21-5=16', '16-13=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 28:[13, 12], Operations: ['21-5=16', '16-4=12']
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 28:[16, 9], Operations: ['21-5=16', '13-4=9']
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,28 unequal: No Solution
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[5, 13, 25], Operations: ['21+4=25']
Exploring Operation: 5+25=30, Resulting Numbers: [13, 30]
Generated Node #0,1,0: 28:[13, 30] Operation: 5+25=30
Exploring Operation: 25/5=5, Resulting Numbers: [13, 5]
Generated Node #0,1,1: 28:[13, 5] Operation: 25/5=5
Exploring Operation: 13-5=8, Resulting Numbers: [25, 8]
Generated Node #0,1,2: 28:[25, 8] Operation: 13-5=8
Exploring Operation: 25-13=12, Resulting Numbers: [5, 12]
Generated Node #0,1,3: 28:[5, 12] Operation: 25-13=12
Exploring Operation: 5+13=18, Resulting Numbers: [25, 18]
Generated Node #0,1,4: 28:[25, 18] Operation: 5+13=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[13, 5], Operations: ['21+4=25', '25/5=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,28 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[13, 30], Operations: ['21+4=25', '5+25=30']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,28 unequal: No Solution
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 28:[5, 12], Operations: ['21+4=25', '25-13=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[25, 8], Operations: ['21+4=25', '13-5=8']
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,28 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 28:[25, 18], Operations: ['21+4=25', '5+13=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,28 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,28 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[5, 13, 17], Operations: ['21-4=17']
Exploring Operation: 13-5=8, Resulting Numbers: [17, 8]
Generated Node #0,3,0: 28:[17, 8] Operation: 13-5=8
Exploring Operation: 5+13=18, Resulting Numbers: [17, 18]
Generated Node #0,3,1: 28:[17, 18] Operation: 5+13=18
Exploring Operation: 13+17=30, Resulting Numbers: [5, 30]
Generated Node #0,3,2: 28:[5, 30] Operation: 13+17=30
Exploring Operation: 17-5=12, Resulting Numbers: [13, 12]
Generated Node #0,3,3: 28:[13, 12] Operation: 17-5=12
Exploring Operation: 17-13=4, Resulting Numbers: [5, 4]
Generated Node #0,3,4: 28:[5, 4] Operation: 17-13=4
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 28:[5, 4], Operations: ['21-4=17', '17-13=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,28 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 28:[5, 30], Operations: ['21-4=17', '13+17=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,28 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 28:[13, 12], Operations: ['21-4=17', '17-5=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,28 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[17, 8], Operations: ['21-4=17', '13-5=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,28 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 28:[17, 18], Operations: ['21-4=17', '5+13=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,28 unequal: No Solution
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,28 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
19,
61,
5,
49
] | 36
|
[
"19+61=80",
"49-5=44",
"80-44=36"
] |
Current State: 36:[19, 61, 5, 49], Operations: []
Exploring Operation: 19+61=80, Resulting Numbers: [5, 49, 80]
Generated Node #2: [5, 49, 80] from Operation: 19+61=80
Current State: 36:[5, 49, 80], Operations: ['19+61=80']
Exploring Operation: 49-5=44, Resulting Numbers: [80, 44]
Generated Node #3: [80, 44] from Operation: 49-5=44
Current State: 36:[80, 44], Operations: ['19+61=80', '49-5=44']
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[19, 61, 5, 49], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [19, 5, 12]
Generated Node #0,0: 36:[19, 5, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[19, 5, 12], Operations: ['61-49=12']
Exploring Operation: 19-5=14, Resulting Numbers: [12, 14]
Generated Node #0,0,0: 36:[12, 14] Operation: 19-5=14
Moving to Node #0,0,0
Current State: 36:[12, 14], Operations: ['61-49=12', '19-5=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,36 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
|
[
1,
11,
3,
94
] | 36
|
[
"3-1=2",
"94/2=47",
"47-11=36"
] |
Current State: 36:[1, 11, 3, 94], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [11, 94, 2]
Generated Node #2: [11, 94, 2] from Operation: 3-1=2
Current State: 36:[11, 94, 2], Operations: ['3-1=2']
Exploring Operation: 94/2=47, Resulting Numbers: [11, 47]
Generated Node #3: [11, 47] from Operation: 94/2=47
Current State: 36:[11, 47], Operations: ['3-1=2', '94/2=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4
|
Current State: 36:[1, 11, 3, 94], Operations: []
Exploring Operation: 94-3=91, Resulting Numbers: [1, 11, 91]
Generated Node #0,0: 36:[1, 11, 91] Operation: 94-3=91
Exploring Operation: 94-11=83, Resulting Numbers: [1, 3, 83]
Generated Node #0,1: 36:[1, 3, 83] Operation: 94-11=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[1, 3, 83], Operations: ['94-11=83']
Exploring Operation: 83-3=80, Resulting Numbers: [1, 80]
Generated Node #0,1,0: 36:[1, 80] Operation: 83-3=80
Exploring Operation: 83-1=82, Resulting Numbers: [3, 82]
Generated Node #0,1,1: 36:[3, 82] Operation: 83-1=82
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[1, 80], Operations: ['94-11=83', '83-3=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,36 unequal: No Solution
Exploring Operation: 1*80=80, Resulting Numbers: [80]
80,36 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: 36:[3, 82], Operations: ['94-11=83', '83-1=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,36 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,36 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: 36:[1, 11, 91], Operations: ['94-3=91']
Exploring Operation: 1+11=12, Resulting Numbers: [91, 12]
Generated Node #0,0,0: 36:[91, 12] Operation: 1+11=12
Exploring Operation: 91-11=80, Resulting Numbers: [1, 80]
Generated Node #0,0,1: 36:[1, 80] Operation: 91-11=80
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[1, 80], Operations: ['94-3=91', '91-11=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,36 unequal: No Solution
Exploring Operation: 1*80=80, Resulting Numbers: [80]
80,36 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: 36:[91, 12], Operations: ['94-3=91', '1+11=12']
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,36 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,36 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
|
[
60,
44,
19,
29
] | 55
|
[
"60*44=2640",
"19+29=48",
"2640/48=55"
] |
Current State: 55:[60, 44, 19, 29], Operations: []
Exploring Operation: 60*44=2640, Resulting Numbers: [19, 29, 2640]
Generated Node #2: [19, 29, 2640] from Operation: 60*44=2640
Current State: 55:[19, 29, 2640], Operations: ['60*44=2640']
Exploring Operation: 19+29=48, Resulting Numbers: [2640, 48]
Generated Node #3: [2640, 48] from Operation: 19+29=48
Current State: 55:[2640, 48], Operations: ['60*44=2640', '19+29=48']
Exploring Operation: 2640/48=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
Current State: 55:[60, 44, 19, 29], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [60, 19, 15]
Generated Node #0,0: 55:[60, 19, 15] Operation: 44-29=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[60, 19, 15], Operations: ['44-29=15']
Exploring Operation: 19-15=4, Resulting Numbers: [60, 4]
Generated Node #0,0,0: 55:[60, 4] Operation: 19-15=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[60, 4], Operations: ['44-29=15', '19-15=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,55 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
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
14,
22,
72,
20
] | 18
|
[
"14+22=36",
"72/36=2",
"20-2=18"
] |
Current State: 18:[14, 22, 72, 20], Operations: []
Exploring Operation: 14+22=36, Resulting Numbers: [72, 20, 36]
Generated Node #2: [72, 20, 36] from Operation: 14+22=36
Current State: 18:[72, 20, 36], Operations: ['14+22=36']
Exploring Operation: 72/36=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 72/36=2
Current State: 18:[20, 2], Operations: ['14+22=36', '72/36=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[14, 22, 72, 20], Operations: []
Exploring Operation: 72-22=50, Resulting Numbers: [14, 20, 50]
Generated Node #0,0: 18:[14, 20, 50] Operation: 72-22=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[14, 20, 50], Operations: ['72-22=50']
Exploring Operation: 50-20=30, Resulting Numbers: [14, 30]
Generated Node #0,0,0: 18:[14, 30] Operation: 50-20=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[14, 30], Operations: ['72-22=50', '50-20=30']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,18 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
|
[
71,
88,
69,
10
] | 62
|
[
"88-71=17",
"69+10=79",
"79-17=62"
] |
Current State: 62:[71, 88, 69, 10], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [69, 10, 17]
Generated Node #2: [69, 10, 17] from Operation: 88-71=17
Current State: 62:[69, 10, 17], Operations: ['88-71=17']
Exploring Operation: 69+10=79, Resulting Numbers: [17, 79]
Generated Node #3: [17, 79] from Operation: 69+10=79
Current State: 62:[17, 79], Operations: ['88-71=17', '69+10=79']
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[71, 88, 69, 10], Operations: []
Exploring Operation: 88-10=78, Resulting Numbers: [71, 69, 78]
Generated Node #0,0: 62:[71, 69, 78] Operation: 88-10=78
Exploring Operation: 88-71=17, Resulting Numbers: [69, 10, 17]
Generated Node #0,1: 62:[69, 10, 17] Operation: 88-71=17
Exploring Operation: 88-69=19, Resulting Numbers: [71, 10, 19]
Generated Node #0,2: 62:[71, 10, 19] Operation: 88-69=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[69, 10, 17], Operations: ['88-71=17']
Exploring Operation: 69-10=59, Resulting Numbers: [17, 59]
Generated Node #0,1,0: 62:[17, 59] Operation: 69-10=59
Exploring Operation: 17-10=7, Resulting Numbers: [69, 7]
Generated Node #0,1,1: 62:[69, 7] Operation: 17-10=7
Exploring Operation: 10+17=27, Resulting Numbers: [69, 27]
Generated Node #0,1,2: 62:[69, 27] Operation: 10+17=27
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 62:[69, 27], Operations: ['88-71=17', '10+17=27']
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,62 unequal: No Solution
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,62 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: 62:[69, 7], Operations: ['88-71=17', '17-10=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[71, 88, 69, 10], Operations: []
Exploring Operation: 88-71=17, Resulting Numbers: [69, 10, 17]
Generated Node #0,1: 62:[69, 10, 17] Operation: 88-71=17
Moving to Node #0,1
Current State: 62:[69, 10, 17], Operations: ['88-71=17']
Exploring Operation: 17-10=7, Resulting Numbers: [69, 7]
Generated Node #0,1,1: 62:[69, 7] Operation: 17-10=7
Moving to Node #0,1,1
Current State: 62:[69, 7], Operations: ['88-71=17', '17-10=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847
|
hs_3
|
mult_heuristic
|
[
79,
40,
29,
22
] | 68
|
[
"79+40=119",
"29+22=51",
"119-51=68"
] |
Current State: 68:[79, 40, 29, 22], Operations: []
Exploring Operation: 79+40=119, Resulting Numbers: [29, 22, 119]
Generated Node #2: [29, 22, 119] from Operation: 79+40=119
Current State: 68:[29, 22, 119], Operations: ['79+40=119']
Exploring Operation: 29+22=51, Resulting Numbers: [119, 51]
Generated Node #3: [119, 51] from Operation: 29+22=51
Current State: 68:[119, 51], Operations: ['79+40=119', '29+22=51']
Exploring Operation: 119-51=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[79, 40, 29, 22], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [29, 22, 39]
Generated Node #0,0: 68:[29, 22, 39] Operation: 79-40=39
Exploring Operation: 40+29=69, Resulting Numbers: [79, 22, 69]
Generated Node #0,1: 68:[79, 22, 69] Operation: 40+29=69
Exploring Operation: 40-22=18, Resulting Numbers: [79, 29, 18]
Generated Node #0,2: 68:[79, 29, 18] Operation: 40-22=18
Exploring Operation: 29-22=7, Resulting Numbers: [79, 40, 7]
Generated Node #0,3: 68:[79, 40, 7] Operation: 29-22=7
Moving to Node #0,0
Current State: 68:[29, 22, 39], Operations: ['79-40=39']
Exploring Operation: 29+39=68, Resulting Numbers: [22, 68]
Generated Node #0,0,0: 68:[22, 68] Operation: 29+39=68
Exploring Operation: 29-22=7, Resulting Numbers: [39, 7]
Generated Node #0,0,1: 68:[39, 7] Operation: 29-22=7
Exploring Operation: 39-29=10, Resulting Numbers: [22, 10]
Generated Node #0,0,2: 68:[22, 10] Operation: 39-29=10
Exploring Operation: 39-22=17, Resulting Numbers: [29, 17]
Generated Node #0,0,3: 68:[29, 17] Operation: 39-22=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[22, 68], Operations: ['79-40=39', '29+39=68']
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 22+68=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Exploring Operation: 22*68=1496, Resulting Numbers: [1496]
1496,68 unequal: No Solution
No 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: 68:[29, 17], Operations: ['79-40=39', '39-22=17']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,68 unequal: No Solution
No 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: 68:[39, 7], Operations: ['79-40=39', '29-22=7']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,68 unequal: No Solution
No 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: 68:[22, 10], Operations: ['79-40=39', '39-29=10']
Exploring Operation: 22-10=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 22+10=32, Resulting Numbers: [32]
32,68 unequal: No Solution
Exploring Operation: 22*10=220, Resulting Numbers: [220]
220,68 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: 68:[79, 29, 18], Operations: ['40-22=18']
Exploring Operation: 29+18=47, Resulting Numbers: [79, 47]
Generated Node #0,2,0: 68:[79, 47] Operation: 29+18=47
Exploring Operation: 29-18=11, Resulting Numbers: [79, 11]
Generated Node #0,2,1: 68:[79, 11] Operation: 29-18=11
Exploring Operation: 79-18=61, Resulting Numbers: [29, 61]
Generated Node #0,2,2: 68:[29, 61] Operation: 79-18=61
Exploring Operation: 79-29=50, Resulting Numbers: [18, 50]
Generated Node #0,2,3: 68:[18, 50] Operation: 79-29=50
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[29, 61], Operations: ['40-22=18', '79-18=61']
Exploring Operation: 29*61=1769, Resulting Numbers: [1769]
1769,68 unequal: No Solution
Exploring Operation: 29+61=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,68 unequal: No Solution
No 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: 68:[79, 11], Operations: ['40-22=18', '29-18=11']
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,68 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[79, 40, 29, 22], Operations: []
Exploring Operation: 40-22=18, Resulting Numbers: [79, 29, 18]
Generated Node #0,2: 68:[79, 29, 18] Operation: 40-22=18
Moving to Node #0,2
Current State: 68:[79, 29, 18], Operations: ['40-22=18']
Exploring Operation: 29-18=11, Resulting Numbers: [79, 11]
Generated Node #0,2,1: 68:[79, 11] Operation: 29-18=11
Moving to Node #0,2,1
Current State: 68:[79, 11], Operations: ['40-22=18', '29-18=11']
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486
|
hs_4
|
sum_heuristic
|
[
70,
13,
61,
3
] | 66
|
[
"70+13=83",
"83-61=22",
"3*22=66"
] |
Current State: 66:[70, 13, 61, 3], Operations: []
Exploring Operation: 70+13=83, Resulting Numbers: [61, 3, 83]
Generated Node #2: [61, 3, 83] from Operation: 70+13=83
Current State: 66:[61, 3, 83], Operations: ['70+13=83']
Exploring Operation: 83-61=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 83-61=22
Current State: 66:[3, 22], Operations: ['70+13=83', '83-61=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[70, 13, 61, 3], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [13, 3, 9]
Generated Node #0,0: 66:[13, 3, 9] Operation: 70-61=9
Moving to Node #0,0
Current State: 66:[13, 3, 9], Operations: ['70-61=9']
Exploring Operation: 13+9=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 66:[3, 22] Operation: 13+9=22
Moving to Node #0,0,0
Current State: 66:[3, 22], Operations: ['70-61=9', '13+9=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[70, 13, 61, 3], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [13, 3, 9]
Generated Node #0,0: 66:[13, 3, 9] Operation: 70-61=9
Moving to Node #0,0
Current State: 66:[13, 3, 9], Operations: ['70-61=9']
Exploring Operation: 13+9=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 66:[3, 22] Operation: 13+9=22
Moving to Node #0,0,0
Current State: 66:[3, 22], Operations: ['70-61=9', '13+9=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.993924
|
hs_1
|
sum_heuristic
|
[
49,
98,
89,
55
] | 72
|
[
"98/49=2",
"89+55=144",
"144/2=72"
] |
Current State: 72:[49, 98, 89, 55], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [89, 55, 2]
Generated Node #2: [89, 55, 2] from Operation: 98/49=2
Current State: 72:[89, 55, 2], Operations: ['98/49=2']
Exploring Operation: 89+55=144, Resulting Numbers: [2, 144]
Generated Node #3: [2, 144] from Operation: 89+55=144
Current State: 72:[2, 144], Operations: ['98/49=2', '89+55=144']
Exploring Operation: 144/2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[49, 98, 89, 55], Operations: []
Exploring Operation: 98-55=43, Resulting Numbers: [49, 89, 43]
Generated Node #0,0: 72:[49, 89, 43] Operation: 98-55=43
Exploring Operation: 98-89=9, Resulting Numbers: [49, 55, 9]
Generated Node #0,1: 72:[49, 55, 9] Operation: 98-89=9
Exploring Operation: 89-55=34, Resulting Numbers: [49, 98, 34]
Generated Node #0,2: 72:[49, 98, 34] Operation: 89-55=34
Exploring Operation: 55-49=6, Resulting Numbers: [98, 89, 6]
Generated Node #0,3: 72:[98, 89, 6] Operation: 55-49=6
Exploring Operation: 98/49=2, Resulting Numbers: [89, 55, 2]
Generated Node #0,4: 72:[89, 55, 2] Operation: 98/49=2
Moving to Node #0,1
Current State: 72:[49, 55, 9], Operations: ['98-89=9']
Exploring Operation: 55-49=6, Resulting Numbers: [9, 6]
Generated Node #0,1,0: 72:[9, 6] Operation: 55-49=6
Exploring Operation: 55-9=46, Resulting Numbers: [49, 46]
Generated Node #0,1,1: 72:[49, 46] Operation: 55-9=46
Exploring Operation: 49+9=58, Resulting Numbers: [55, 58]
Generated Node #0,1,2: 72:[55, 58] Operation: 49+9=58
Exploring Operation: 49-9=40, Resulting Numbers: [55, 40]
Generated Node #0,1,3: 72:[55, 40] Operation: 49-9=40
Exploring Operation: 55+9=64, Resulting Numbers: [49, 64]
Generated Node #0,1,4: 72:[49, 64] Operation: 55+9=64
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[9, 6], Operations: ['98-89=9', '55-49=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,72 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 72:[55, 40], Operations: ['98-89=9', '49-9=40']
Exploring Operation: 55+40=95, Resulting Numbers: [95]
95,72 unequal: No Solution
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 55*40=2200, Resulting Numbers: [2200]
2200,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 72:[49, 64], Operations: ['98-89=9', '55+9=64']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,72 unequal: No Solution
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[49, 46], Operations: ['98-89=9', '55-9=46']
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,72 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[55, 58], Operations: ['98-89=9', '49+9=58']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 55*58=3190, Resulting Numbers: [3190]
3190,72 unequal: No Solution
Exploring Operation: 55+58=113, Resulting Numbers: [113]
113,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 72:[89, 55, 2], Operations: ['98/49=2']
Exploring Operation: 55-2=53, Resulting Numbers: [89, 53]
Generated Node #0,4,0: 72:[89, 53] Operation: 55-2=53
Exploring Operation: 55+2=57, Resulting Numbers: [89, 57]
Generated Node #0,4,1: 72:[89, 57] Operation: 55+2=57
Exploring Operation: 89-55=34, Resulting Numbers: [2, 34]
Generated Node #0,4,2: 72:[2, 34] Operation: 89-55=34
Exploring Operation: 89+2=91, Resulting Numbers: [55, 91]
Generated Node #0,4,3: 72:[55, 91] Operation: 89+2=91
Exploring Operation: 89-2=87, Resulting Numbers: [55, 87]
Generated Node #0,4,4: 72:[55, 87] Operation: 89-2=87
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 72:[2, 34], Operations: ['98/49=2', '89-55=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 72:[89, 57], Operations: ['98/49=2', '55+2=57']
Exploring Operation: 89*57=5073, Resulting Numbers: [5073]
5073,72 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 89+57=146, Resulting Numbers: [146]
146,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 72:[55, 87], Operations: ['98/49=2', '89-2=87']
Exploring Operation: 55*87=4785, Resulting Numbers: [4785]
4785,72 unequal: No Solution
Exploring Operation: 55+87=142, Resulting Numbers: [142]
142,72 unequal: No Solution
Exploring Operation: 87-55=32, Resulting Numbers: [32]
32,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 72:[89, 53], Operations: ['98/49=2', '55-2=53']
Exploring Operation: 89+53=142, Resulting Numbers: [142]
142,72 unequal: No Solution
Exploring Operation: 89*53=4717, Resulting Numbers: [4717]
4717,72 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 72:[55, 91], Operations: ['98/49=2', '89+2=91']
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 55*91=5005, Resulting Numbers: [5005]
5005,72 unequal: No Solution
Exploring Operation: 55+91=146, Resulting Numbers: [146]
146,72 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: 72:[49, 89, 43], Operations: ['98-55=43']
Exploring Operation: 89-43=46, Resulting Numbers: [49, 46]
Generated Node #0,0,0: 72:[49, 46] Operation: 89-43=46
Exploring Operation: 89-49=40, Resulting Numbers: [43, 40]
Generated Node #0,0,1: 72:[43, 40] Operation: 89-49=40
Exploring Operation: 49+43=92, Resulting Numbers: [89, 92]
Generated Node #0,0,2: 72:[89, 92] Operation: 49+43=92
Exploring Operation: 49+89=138, Resulting Numbers: [43, 138]
Generated Node #0,0,3: 72:[43, 138] Operation: 49+89=138
Exploring Operation: 49-43=6, Resulting Numbers: [89, 6]
Generated Node #0,0,4: 72:[89, 6] Operation: 49-43=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[43, 40], Operations: ['98-55=43', '89-49=40']
Exploring Operation: 43*40=1720, Resulting Numbers: [1720]
1720,72 unequal: No Solution
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 72:[89, 6], Operations: ['98-55=43', '49-43=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,72 unequal: No Solution
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 89*6=534, Resulting Numbers: [534]
534,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[49, 46], Operations: ['98-55=43', '89-43=46']
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,72 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[89, 92], Operations: ['98-55=43', '49+43=92']
Exploring Operation: 89*92=8188, Resulting Numbers: [8188]
8188,72 unequal: No Solution
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 89+92=181, Resulting Numbers: [181]
181,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 72:[43, 138], Operations: ['98-55=43', '49+89=138']
Exploring Operation: 43+138=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Exploring Operation: 138-43=95, Resulting Numbers: [95]
95,72 unequal: No Solution
Exploring Operation: 43*138=5934, Resulting Numbers: [5934]
5934,72 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: 72:[49, 98, 34], Operations: ['89-55=34']
Exploring Operation: 98-49=49, Resulting Numbers: [34, 49]
Generated Node #0,2,0: 72:[34, 49] Operation: 98-49=49
Exploring Operation: 98/49=2, Resulting Numbers: [34, 2]
Generated Node #0,2,1: 72:[34, 2] Operation: 98/49=2
Exploring Operation: 49-34=15, Resulting Numbers: [98, 15]
Generated Node #0,2,2: 72:[98, 15] Operation: 49-34=15
Exploring Operation: 49+34=83, Resulting Numbers: [98, 83]
Generated Node #0,2,3: 72:[98, 83] Operation: 49+34=83
Exploring Operation: 98-34=64, Resulting Numbers: [49, 64]
Generated Node #0,2,4: 72:[49, 64] Operation: 98-34=64
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[34, 2], Operations: ['89-55=34', '98/49=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,72 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[34, 49], Operations: ['89-55=34', '98-49=49']
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,72 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 72:[49, 64], Operations: ['89-55=34', '98-34=64']
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,72 unequal: No Solution
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[98, 15], Operations: ['89-55=34', '49-34=15']
Exploring Operation: 98*15=1470, Resulting Numbers: [1470]
1470,72 unequal: No Solution
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 98+15=113, Resulting Numbers: [113]
113,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[98, 83], Operations: ['89-55=34', '49+34=83']
Exploring Operation: 98*83=8134, Resulting Numbers: [8134]
8134,72 unequal: No Solution
Exploring Operation: 98-83=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 98+83=181, Resulting Numbers: [181]
181,72 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: 72:[98, 89, 6], Operations: ['55-49=6']
Exploring Operation: 98+6=104, Resulting Numbers: [89, 104]
Generated Node #0,3,0: 72:[89, 104] Operation: 98+6=104
Exploring Operation: 98-89=9, Resulting Numbers: [6, 9]
Generated Node #0,3,1: 72:[6, 9] Operation: 98-89=9
Exploring Operation: 98-6=92, Resulting Numbers: [89, 92]
Generated Node #0,3,2: 72:[89, 92] Operation: 98-6=92
Exploring Operation: 89+6=95, Resulting Numbers: [98, 95]
Generated Node #0,3,3: 72:[98, 95] Operation: 89+6=95
Exploring Operation: 89-6=83, Resulting Numbers: [98, 83]
Generated Node #0,3,4: 72:[98, 83] Operation: 89-6=83
Moving to Node #0,3,1
Current State: 72:[6, 9], Operations: ['55-49=6', '98-89=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,72 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,3,4
Current State: 72:[98, 83], Operations: ['55-49=6', '89-6=83']
Exploring Operation: 98-83=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 98+83=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Exploring Operation: 98*83=8134, Resulting Numbers: [8134]
8134,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[89, 92], Operations: ['55-49=6', '98-6=92']
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 89*92=8188, Resulting Numbers: [8188]
8188,72 unequal: No Solution
Exploring Operation: 89+92=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[89, 104], Operations: ['55-49=6', '98+6=104']
Exploring Operation: 104-89=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 89+104=193, Resulting Numbers: [193]
193,72 unequal: No Solution
Exploring Operation: 89*104=9256, Resulting Numbers: [9256]
9256,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[98, 95], Operations: ['55-49=6', '89+6=95']
Exploring Operation: 98-95=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 98*95=9310, Resulting Numbers: [9310]
9310,72 unequal: No Solution
Exploring Operation: 98+95=193, Resulting Numbers: [193]
193,72 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
52,
4,
43,
13
] | 16
|
[
"52-43=9",
"13-9=4",
"4*4=16"
] |
Current State: 16:[52, 4, 43, 13], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [4, 13, 9]
Generated Node #2: [4, 13, 9] from Operation: 52-43=9
Current State: 16:[4, 13, 9], Operations: ['52-43=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4, 4]
Generated Node #3: [4, 4] from Operation: 13-9=4
Current State: 16:[4, 4], Operations: ['52-43=9', '13-9=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4
|
Current State: 16:[52, 4, 43, 13], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [4, 43, 4]
Generated Node #0,0: 16:[4, 43, 4] Operation: 52/13=4
Exploring Operation: 52-43=9, Resulting Numbers: [4, 13, 9]
Generated Node #0,1: 16:[4, 13, 9] Operation: 52-43=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[4, 13, 9], Operations: ['52-43=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 16:[4, 4] Operation: 13-9=4
Exploring Operation: 4+13=17, Resulting Numbers: [9, 17]
Generated Node #0,1,1: 16:[9, 17] Operation: 4+13=17
Moving to Node #0,1,0
Current State: 16:[4, 4], Operations: ['52-43=9', '13-9=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[52, 4, 43, 13], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [4, 13, 9]
Generated Node #0,1: 16:[4, 13, 9] Operation: 52-43=9
Moving to Node #0,1
Current State: 16:[4, 13, 9], Operations: ['52-43=9']
Exploring Operation: 13-9=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 16:[4, 4] Operation: 13-9=4
Moving to Node #0,1,0
Current State: 16:[4, 4], Operations: ['52-43=9', '13-9=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
45,
34,
68,
9
] | 27
|
[
"45+9=54",
"68/34=2",
"54/2=27"
] |
Current State: 27:[45, 34, 68, 9], Operations: []
Exploring Operation: 45+9=54, Resulting Numbers: [34, 68, 54]
Generated Node #2: [34, 68, 54] from Operation: 45+9=54
Current State: 27:[34, 68, 54], Operations: ['45+9=54']
Exploring Operation: 68/34=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 68/34=2
Current State: 27:[54, 2], Operations: ['45+9=54', '68/34=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
Current State: 27:[45, 34, 68, 9], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [34, 9, 23]
Generated Node #0,0: 27:[34, 9, 23] Operation: 68-45=23
Exploring Operation: 68-34=34, Resulting Numbers: [45, 9, 34]
Generated Node #0,1: 27:[45, 9, 34] Operation: 68-34=34
Exploring Operation: 68/34=2, Resulting Numbers: [45, 9, 2]
Generated Node #0,2: 27:[45, 9, 2] Operation: 68/34=2
Exploring Operation: 45-34=11, Resulting Numbers: [68, 9, 11]
Generated Node #0,3: 27:[68, 9, 11] Operation: 45-34=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[34, 9, 23], Operations: ['68-45=23']
Exploring Operation: 9+23=32, Resulting Numbers: [34, 32]
Generated Node #0,0,0: 27:[34, 32] Operation: 9+23=32
Exploring Operation: 34-9=25, Resulting Numbers: [23, 25]
Generated Node #0,0,1: 27:[23, 25] Operation: 34-9=25
Exploring Operation: 23-9=14, Resulting Numbers: [34, 14]
Generated Node #0,0,2: 27:[34, 14] Operation: 23-9=14
Exploring Operation: 34-23=11, Resulting Numbers: [9, 11]
Generated Node #0,0,3: 27:[9, 11] Operation: 34-23=11
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 27:[9, 11], Operations: ['68-45=23', '34-23=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,27 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,27 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: 27:[23, 25], Operations: ['68-45=23', '34-9=25']
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 23*25=575, Resulting Numbers: [575]
575,27 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,27 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: 27:[34, 32], Operations: ['68-45=23', '9+23=32']
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,27 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,27 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: 27:[34, 14], Operations: ['68-45=23', '23-9=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,27 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,27 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: 27:[45, 9, 2], Operations: ['68/34=2']
Exploring Operation: 45/9=5, Resulting Numbers: [2, 5]
Generated Node #0,2,0: 27:[2, 5] Operation: 45/9=5
Exploring Operation: 45+2=47, Resulting Numbers: [9, 47]
Generated Node #0,2,1: 27:[9, 47] Operation: 45+2=47
Exploring Operation: 45-2=43, Resulting Numbers: [9, 43]
Generated Node #0,2,2: 27:[9, 43] Operation: 45-2=43
Exploring Operation: 45-9=36, Resulting Numbers: [2, 36]
Generated Node #0,2,3: 27:[2, 36] Operation: 45-9=36
Moving to Node #0,2,0
Current State: 27:[2, 5], Operations: ['68/34=2', '45/9=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[2, 36], Operations: ['68/34=2', '45-9=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[9, 43], Operations: ['68/34=2', '45-2=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,27 unequal: No Solution
Exploring Operation: 9*43=387, Resulting Numbers: [387]
387,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[9, 47], Operations: ['68/34=2', '45+2=47']
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,27 unequal: No Solution
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 9*47=423, Resulting Numbers: [423]
423,27 unequal: No Solution
No 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: 27:[45, 9, 34], Operations: ['68-34=34']
Exploring Operation: 45-34=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 27:[9, 11] Operation: 45-34=11
Exploring Operation: 45/9=5, Resulting Numbers: [34, 5]
Generated Node #0,1,1: 27:[34, 5] Operation: 45/9=5
Exploring Operation: 45-9=36, Resulting Numbers: [34, 36]
Generated Node #0,1,2: 27:[34, 36] Operation: 45-9=36
Exploring Operation: 34-9=25, Resulting Numbers: [45, 25]
Generated Node #0,1,3: 27:[45, 25] Operation: 34-9=25
Moving to Node #0,1,0
Current State: 27:[9, 11], Operations: ['68-34=34', '45-34=11']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,27 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[34, 5], Operations: ['68-34=34', '45/9=5']
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,27 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[34, 36], Operations: ['68-34=34', '45-9=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,27 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,27 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[45, 25], Operations: ['68-34=34', '34-9=25']
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,27 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,27 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,27 unequal: No Solution
No 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: 27:[68, 9, 11], Operations: ['45-34=11']
Exploring Operation: 9+11=20, Resulting Numbers: [68, 20]
Generated Node #0,3,0: 27:[68, 20] Operation: 9+11=20
Exploring Operation: 68-11=57, Resulting Numbers: [9, 57]
Generated Node #0,3,1: 27:[9, 57] Operation: 68-11=57
Exploring Operation: 11-9=2, Resulting Numbers: [68, 2]
Generated Node #0,3,2: 27:[68, 2] Operation: 11-9=2
Exploring Operation: 68-9=59, Resulting Numbers: [11, 59]
Generated Node #0,3,3: 27:[11, 59] Operation: 68-9=59
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 27:[9, 57], Operations: ['45-34=11', '68-11=57']
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,27 unequal: No Solution
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,27 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: 27:[11, 59], Operations: ['45-34=11', '68-9=59']
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,27 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,27 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: 27:[68, 2], Operations: ['45-34=11', '11-9=2']
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,27 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,27 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,27 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: 27:[68, 20], Operations: ['45-34=11', '9+11=20']
Exploring Operation: 68*20=1360, Resulting Numbers: [1360]
1360,27 unequal: No Solution
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 68+20=88, Resulting Numbers: [88]
88,27 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
|
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