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 |
|---|---|---|---|---|---|---|---|---|
[
29,
17,
48,
18
] | 72 | [
"29-17=12",
"48*18=864",
"864/12=72"
] | Current State: 72:[29, 17, 48, 18], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [48, 18, 12]
Generated Node #2: [48, 18, 12] from Operation: 29-17=12
Current State: 72:[48, 18, 12], Operations: ['29-17=12']
Exploring Operation: 48*18=864, Resulting Numbers: [12, 864]
Generated Node #3: [12, 864] from Operation: 48*18=864
Current State: 72:[12, 864], Operations: ['29-17=12', '48*18=864']
Exploring Operation: 864/12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[29, 17, 48, 18], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [17, 18, 19]
Generated Node #0,0: 72:[17, 18, 19] Operation: 48-29=19
Moving to Node #0,0
Current State: 72:[17, 18, 19], Operations: ['48-29=19']
Exploring Operation: 17+19=36, Resulting Numbers: [18, 36]
Generated Node #0,0,0: 72:[18, 36] Operation: 17+19=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[18, 36], Operations: ['48-29=19', '17+19=36']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,72 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 |
[
12,
62,
77,
76
] | 79 | [
"12+62=74",
"77+76=153",
"153-74=79"
] | Current State: 79:[12, 62, 77, 76], Operations: []
Exploring Operation: 12+62=74, Resulting Numbers: [77, 76, 74]
Generated Node #2: [77, 76, 74] from Operation: 12+62=74
Current State: 79:[77, 76, 74], Operations: ['12+62=74']
Exploring Operation: 77+76=153, Resulting Numbers: [74, 153]
Generated Node #3: [74, 153] from Operation: 77+76=153
Current State: 79:[74, 153], Operations: ['12+62=74', '77+76=153']
Exploring Operation: 153-74=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[12, 62, 77, 76], Operations: []
Exploring Operation: 12+76=88, Resulting Numbers: [62, 77, 88]
Generated Node #0,0: 79:[62, 77, 88] Operation: 12+76=88
Exploring Operation: 12+62=74, Resulting Numbers: [77, 76, 74]
Generated Node #0,1: 79:[77, 76, 74] Operation: 12+62=74
Moving to Node #0,1
Current State: 79:[77, 76, 74], Operations: ['12+62=74']
Exploring Operation: 77+74=151, Resulting Numbers: [76, 151]
Generated Node #0,1,0: 79:[76, 151] Operation: 77+74=151
Exploring Operation: 76+74=150, Resulting Numbers: [77, 150]
Generated Node #0,1,1: 79:[77, 150] Operation: 76+74=150
Moving to Node #0,0
Current State: 79:[62, 77, 88], Operations: ['12+76=88']
Exploring Operation: 62+77=139, Resulting Numbers: [88, 139]
Generated Node #0,0,0: 79:[88, 139] Operation: 62+77=139
Exploring Operation: 88-62=26, Resulting Numbers: [77, 26]
Generated Node #0,0,1: 79:[77, 26] Operation: 88-62=26
Moving to Node #0,0,1
Current State: 79:[77, 26], Operations: ['12+76=88', '88-62=26']
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[88, 139], Operations: ['12+76=88', '62+77=139']
Exploring Operation: 88+139=227, Resulting Numbers: [227]
227,79 unequal: No Solution
Exploring Operation: 139-88=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[77, 150], Operations: ['12+62=74', '76+74=150']
Exploring Operation: 150-77=73, Resulting Numbers: [73]
73,79 unequal: No Solution
Exploring Operation: 77+150=227, Resulting Numbers: [227]
227,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[76, 151], Operations: ['12+62=74', '77+74=151']
Exploring Operation: 76+151=227, Resulting Numbers: [227]
227,79 unequal: No Solution
Exploring Operation: 151-76=75, Resulting Numbers: [75]
75,79 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
60,
68,
25
] | 87 | [
"68/34=2",
"60+25=85",
"2+85=87"
] | Current State: 87:[34, 60, 68, 25], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [60, 25, 2]
Generated Node #2: [60, 25, 2] from Operation: 68/34=2
Current State: 87:[60, 25, 2], Operations: ['68/34=2']
Exploring Operation: 60+25=85, Resulting Numbers: [2, 85]
Generated Node #3: [2, 85] from Operation: 60+25=85
Current State: 87:[2, 85], Operations: ['68/34=2', '60+25=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[34, 60, 68, 25], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [34, 25, 8]
Generated Node #0,0: 87:[34, 25, 8] Operation: 68-60=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[34, 25, 8], Operations: ['68-60=8']
Exploring Operation: 34-8=26, Resulting Numbers: [25, 26]
Generated Node #0,0,0: 87:[25, 26] Operation: 34-8=26
Moving to Node #0,0,0
Current State: 87:[25, 26], Operations: ['68-60=8', '34-8=26']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,87 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,
14,
49,
92
] | 33 | [
"24-14=10",
"92-49=43",
"43-10=33"
] | Current State: 33:[24, 14, 49, 92], Operations: []
Exploring Operation: 24-14=10, Resulting Numbers: [49, 92, 10]
Generated Node #2: [49, 92, 10] from Operation: 24-14=10
Current State: 33:[49, 92, 10], Operations: ['24-14=10']
Exploring Operation: 92-49=43, Resulting Numbers: [10, 43]
Generated Node #3: [10, 43] from Operation: 92-49=43
Current State: 33:[10, 43], Operations: ['24-14=10', '92-49=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[24, 14, 49, 92], Operations: []
Exploring Operation: 49-24=25, Resulting Numbers: [14, 92, 25]
Generated Node #0,0: 33:[14, 92, 25] Operation: 49-24=25
Exploring Operation: 92-14=78, Resulting Numbers: [24, 49, 78]
Generated Node #0,1: 33:[24, 49, 78] Operation: 92-14=78
Exploring Operation: 92-24=68, Resulting Numbers: [14, 49, 68]
Generated Node #0,2: 33:[14, 49, 68] Operation: 92-24=68
Exploring Operation: 49-14=35, Resulting Numbers: [24, 92, 35]
Generated Node #0,3: 33:[24, 92, 35] Operation: 49-14=35
Exploring Operation: 92-49=43, Resulting Numbers: [24, 14, 43]
Generated Node #0,4: 33:[24, 14, 43] Operation: 92-49=43
Moving to Node #0,4
Current State: 33:[24, 14, 43], Operations: ['92-49=43']
Exploring Operation: 43-14=29, Resulting Numbers: [24, 29]
Generated Node #0,4,0: 33:[24, 29] Operation: 43-14=29
Exploring Operation: 24-14=10, Resulting Numbers: [43, 10]
Generated Node #0,4,1: 33:[43, 10] Operation: 24-14=10
Exploring Operation: 14+43=57, Resulting Numbers: [24, 57]
Generated Node #0,4,2: 33:[24, 57] Operation: 14+43=57
Exploring Operation: 43-24=19, Resulting Numbers: [14, 19]
Generated Node #0,4,3: 33:[14, 19] Operation: 43-24=19
Exploring Operation: 24+14=38, Resulting Numbers: [43, 38]
Generated Node #0,4,4: 33:[43, 38] Operation: 24+14=38
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 33:[43, 10], Operations: ['92-49=43', '24-14=10']
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,33 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[24, 14, 49, 92], Operations: []
Exploring Operation: 92-49=43, Resulting Numbers: [24, 14, 43]
Generated Node #0,4: 33:[24, 14, 43] Operation: 92-49=43
Moving to Node #0,4
Current State: 33:[24, 14, 43], Operations: ['92-49=43']
Exploring Operation: 24-14=10, Resulting Numbers: [43, 10]
Generated Node #0,4,1: 33:[43, 10] Operation: 24-14=10
Moving to Node #0,4,1
Current State: 33:[43, 10], Operations: ['92-49=43', '24-14=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
10,
27,
46,
22
] | 31 | [
"10+27=37",
"46+22=68",
"68-37=31"
] | Current State: 31:[10, 27, 46, 22], Operations: []
Exploring Operation: 10+27=37, Resulting Numbers: [46, 22, 37]
Generated Node #2: [46, 22, 37] from Operation: 10+27=37
Current State: 31:[46, 22, 37], Operations: ['10+27=37']
Exploring Operation: 46+22=68, Resulting Numbers: [37, 68]
Generated Node #3: [37, 68] from Operation: 46+22=68
Current State: 31:[37, 68], Operations: ['10+27=37', '46+22=68']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[10, 27, 46, 22], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [27, 22, 36]
Generated Node #0,0: 31:[27, 22, 36] Operation: 46-10=36
Exploring Operation: 46-22=24, Resulting Numbers: [10, 27, 24]
Generated Node #0,1: 31:[10, 27, 24] Operation: 46-22=24
Exploring Operation: 10+27=37, Resulting Numbers: [46, 22, 37]
Generated Node #0,2: 31:[46, 22, 37] Operation: 10+27=37
Exploring Operation: 10+22=32, Resulting Numbers: [27, 46, 32]
Generated Node #0,3: 31:[27, 46, 32] Operation: 10+22=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[27, 22, 36], Operations: ['46-10=36']
Exploring Operation: 36-22=14, Resulting Numbers: [27, 14]
Generated Node #0,0,0: 31:[27, 14] Operation: 36-22=14
Exploring Operation: 36-27=9, Resulting Numbers: [22, 9]
Generated Node #0,0,1: 31:[22, 9] Operation: 36-27=9
Exploring Operation: 27+22=49, Resulting Numbers: [36, 49]
Generated Node #0,0,2: 31:[36, 49] Operation: 27+22=49
Exploring Operation: 27-22=5, Resulting Numbers: [36, 5]
Generated Node #0,0,3: 31:[36, 5] Operation: 27-22=5
Moving to Node #0,0,0
Current State: 31:[27, 14], Operations: ['46-10=36', '36-22=14']
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,31 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[36, 49], Operations: ['46-10=36', '27+22=49']
Exploring Operation: 36*49=1764, Resulting Numbers: [1764]
1764,31 unequal: No Solution
Exploring Operation: 36+49=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[36, 5], Operations: ['46-10=36', '27-22=5']
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,31 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[10, 27, 46, 22], Operations: []
Exploring Operation: 46-10=36, Resulting Numbers: [27, 22, 36]
Generated Node #0,0: 31:[27, 22, 36] Operation: 46-10=36
Moving to Node #0,0
Current State: 31:[27, 22, 36], Operations: ['46-10=36']
Exploring Operation: 27-22=5, Resulting Numbers: [36, 5]
Generated Node #0,0,3: 31:[36, 5] Operation: 27-22=5
Moving to Node #0,0,3
Current State: 31:[36, 5], Operations: ['46-10=36', '27-22=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
12,
30,
18,
25
] | 54 | [
"25-18=7",
"12*7=84",
"84-30=54"
] | Current State: 54:[12, 30, 18, 25], Operations: []
Exploring Operation: 25-18=7, Resulting Numbers: [12, 30, 7]
Generated Node #2: [12, 30, 7] from Operation: 25-18=7
Current State: 54:[12, 30, 7], Operations: ['25-18=7']
Exploring Operation: 12*7=84, Resulting Numbers: [30, 84]
Generated Node #3: [30, 84] from Operation: 12*7=84
Current State: 54:[30, 84], Operations: ['25-18=7', '12*7=84']
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[12, 30, 18, 25], Operations: []
Exploring Operation: 30+25=55, Resulting Numbers: [12, 18, 55]
Generated Node #0,0: 54:[12, 18, 55] Operation: 30+25=55
Exploring Operation: 30-12=18, Resulting Numbers: [18, 25, 18]
Generated Node #0,1: 54:[18, 25, 18] Operation: 30-12=18
Exploring Operation: 30-25=5, Resulting Numbers: [12, 18, 5]
Generated Node #0,2: 54:[12, 18, 5] Operation: 30-25=5
Exploring Operation: 18-12=6, Resulting Numbers: [30, 25, 6]
Generated Node #0,3: 54:[30, 25, 6] Operation: 18-12=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[18, 25, 18], Operations: ['30-12=18']
Exploring Operation: 25-18=7, Resulting Numbers: [18, 7]
Generated Node #0,1,0: 54:[18, 7] Operation: 25-18=7
Exploring Operation: 18/18=1, Resulting Numbers: [25, 1]
Generated Node #0,1,1: 54:[25, 1] Operation: 18/18=1
Exploring Operation: 25-18=7, Resulting Numbers: [18, 7]
Generated Node #0,1,2: 54:[18, 7] Operation: 25-18=7
Exploring Operation: 18-18=0, Resulting Numbers: [25, 0]
Generated Node #0,1,3: 54:[25, 0] Operation: 18-18=0
Moving to Node #0,1,0
Current State: 54:[18, 7], Operations: ['30-12=18', '25-18=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,54 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[18, 7], Operations: ['30-12=18', '25-18=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[25, 1], Operations: ['30-12=18', '18/18=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[25, 0], Operations: ['30-12=18', '18-18=0']
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,54 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:[12, 18, 55], Operations: ['30+25=55']
Exploring Operation: 55-12=43, Resulting Numbers: [18, 43]
Generated Node #0,0,0: 54:[18, 43] Operation: 55-12=43
Exploring Operation: 12+55=67, Resulting Numbers: [18, 67]
Generated Node #0,0,1: 54:[18, 67] Operation: 12+55=67
Exploring Operation: 18-12=6, Resulting Numbers: [55, 6]
Generated Node #0,0,2: 54:[55, 6] Operation: 18-12=6
Exploring Operation: 12+18=30, Resulting Numbers: [55, 30]
Generated Node #0,0,3: 54:[55, 30] Operation: 12+18=30
Moving to Node #0,0,2
Current State: 54:[55, 6], Operations: ['30+25=55', '18-12=6']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,54 unequal: No Solution
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,54 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[55, 30], Operations: ['30+25=55', '12+18=30']
Exploring Operation: 55*30=1650, Resulting Numbers: [1650]
1650,54 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 55+30=85, Resulting Numbers: [85]
85,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[18, 43], Operations: ['30+25=55', '55-12=43']
Exploring Operation: 18+43=61, Resulting Numbers: [61]
61,54 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 18*43=774, Resulting Numbers: [774]
774,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[18, 67], Operations: ['30+25=55', '12+55=67']
Exploring Operation: 18*67=1206, Resulting Numbers: [1206]
1206,54 unequal: No Solution
Exploring Operation: 18+67=85, Resulting Numbers: [85]
85,54 unequal: No Solution
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[12, 18, 5], Operations: ['30-25=5']
Exploring Operation: 18-12=6, Resulting Numbers: [5, 6]
Generated Node #0,2,0: 54:[5, 6] Operation: 18-12=6
Exploring Operation: 12+5=17, Resulting Numbers: [18, 17]
Generated Node #0,2,1: 54:[18, 17] Operation: 12+5=17
Exploring Operation: 12-5=7, Resulting Numbers: [18, 7]
Generated Node #0,2,2: 54:[18, 7] Operation: 12-5=7
Exploring Operation: 12+18=30, Resulting Numbers: [5, 30]
Generated Node #0,2,3: 54:[5, 30] Operation: 12+18=30
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 54:[5, 6], Operations: ['30-25=5', '18-12=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,54 unequal: No Solution
No 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: 54:[18, 17], Operations: ['30-25=5', '12+5=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,54 unequal: No Solution
No 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: 54:[18, 7], Operations: ['30-25=5', '12-5=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,54 unequal: No Solution
No 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: 54:[5, 30], Operations: ['30-25=5', '12+18=30']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,54 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,54 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[30, 25, 6], Operations: ['18-12=6']
Exploring Operation: 25-6=19, Resulting Numbers: [30, 19]
Generated Node #0,3,0: 54:[30, 19] Operation: 25-6=19
Exploring Operation: 30/6=5, Resulting Numbers: [25, 5]
Generated Node #0,3,1: 54:[25, 5] Operation: 30/6=5
Exploring Operation: 30-25=5, Resulting Numbers: [6, 5]
Generated Node #0,3,2: 54:[6, 5] Operation: 30-25=5
Exploring Operation: 30+25=55, Resulting Numbers: [6, 55]
Generated Node #0,3,3: 54:[6, 55] Operation: 30+25=55
Moving to Node #0,3,2
Current State: 54:[6, 5], Operations: ['18-12=6', '30-25=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,54 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[6, 55], Operations: ['18-12=6', '30+25=55']
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,54 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,54 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,54 unequal: No Solution
Moving to Node #0,3,1
Current State: 54:[25, 5], Operations: ['18-12=6', '30/6=5']
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,54 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[30, 19], Operations: ['18-12=6', '25-6=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,54 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,54 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 |
[
26,
59,
61,
42
] | 55 | [
"61-59=2",
"26/2=13",
"42+13=55"
] | Current State: 55:[26, 59, 61, 42], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [26, 42, 2]
Generated Node #2: [26, 42, 2] from Operation: 61-59=2
Current State: 55:[26, 42, 2], Operations: ['61-59=2']
Exploring Operation: 26/2=13, Resulting Numbers: [42, 13]
Generated Node #3: [42, 13] from Operation: 26/2=13
Current State: 55:[42, 13], Operations: ['61-59=2', '26/2=13']
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[26, 59, 61, 42], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [59, 61, 16]
Generated Node #0,0: 55:[59, 61, 16] Operation: 42-26=16
Moving to Node #0,0
Current State: 55:[59, 61, 16], Operations: ['42-26=16']
Exploring Operation: 61-59=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 55:[16, 2] Operation: 61-59=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[16, 2], Operations: ['42-26=16', '61-59=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,55 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 |
[
6,
19,
71,
42
] | 67 | [
"42-19=23",
"6*23=138",
"138-71=67"
] | Current State: 67:[6, 19, 71, 42], Operations: []
Exploring Operation: 42-19=23, Resulting Numbers: [6, 71, 23]
Generated Node #2: [6, 71, 23] from Operation: 42-19=23
Current State: 67:[6, 71, 23], Operations: ['42-19=23']
Exploring Operation: 6*23=138, Resulting Numbers: [71, 138]
Generated Node #3: [71, 138] from Operation: 6*23=138
Current State: 67:[71, 138], Operations: ['42-19=23', '6*23=138']
Exploring Operation: 138-71=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[6, 19, 71, 42], Operations: []
Exploring Operation: 6+19=25, Resulting Numbers: [71, 42, 25]
Generated Node #0,0: 67:[71, 42, 25] Operation: 6+19=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[71, 42, 25], Operations: ['6+19=25']
Exploring Operation: 42+25=67, Resulting Numbers: [71, 67]
Generated Node #0,0,0: 67:[71, 67] Operation: 42+25=67
Moving to Node #0,0,0
Current State: 67:[71, 67], Operations: ['6+19=25', '42+25=67']
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
66,
2,
17,
36
] | 68 | [
"66+36=102",
"2*17=34",
"102-34=68"
] | Current State: 68:[66, 2, 17, 36], Operations: []
Exploring Operation: 66+36=102, Resulting Numbers: [2, 17, 102]
Generated Node #2: [2, 17, 102] from Operation: 66+36=102
Current State: 68:[2, 17, 102], Operations: ['66+36=102']
Exploring Operation: 2*17=34, Resulting Numbers: [102, 34]
Generated Node #3: [102, 34] from Operation: 2*17=34
Current State: 68:[102, 34], Operations: ['66+36=102', '2*17=34']
Exploring Operation: 102-34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[66, 2, 17, 36], Operations: []
Exploring Operation: 66+2=68, Resulting Numbers: [17, 36, 68]
Generated Node #0,0: 68:[17, 36, 68] Operation: 66+2=68
Moving to Node #0,0
Current State: 68:[17, 36, 68], Operations: ['66+2=68']
Exploring Operation: 36-17=19, Resulting Numbers: [68, 19]
Generated Node #0,0,0: 68:[68, 19] Operation: 36-17=19
Moving to Node #0,0,0
Current State: 68:[68, 19], Operations: ['66+2=68', '36-17=19']
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,68 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
79,
63,
42
] | 100 | [
"1*79=79",
"63-42=21",
"79+21=100"
] | Current State: 100:[1, 79, 63, 42], Operations: []
Exploring Operation: 1*79=79, Resulting Numbers: [63, 42, 79]
Generated Node #2: [63, 42, 79] from Operation: 1*79=79
Current State: 100:[63, 42, 79], Operations: ['1*79=79']
Exploring Operation: 63-42=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 63-42=21
Current State: 100:[79, 21], Operations: ['1*79=79', '63-42=21']
Exploring Operation: 79+21=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[1, 79, 63, 42], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [1, 79, 21]
Generated Node #0,0: 100:[1, 79, 21] Operation: 63-42=21
Exploring Operation: 79-63=16, Resulting Numbers: [1, 42, 16]
Generated Node #0,1: 100:[1, 42, 16] Operation: 79-63=16
Moving to Node #0,1
Current State: 100:[1, 42, 16], Operations: ['79-63=16']
Exploring Operation: 42-16=26, Resulting Numbers: [1, 26]
Generated Node #0,1,0: 100:[1, 26] Operation: 42-16=26
Exploring Operation: 42+16=58, Resulting Numbers: [1, 58]
Generated Node #0,1,1: 100:[1, 58] Operation: 42+16=58
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[1, 26], Operations: ['79-63=16', '42-16=26']
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,100 unequal: No Solution
No 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: 100:[1, 58], Operations: ['79-63=16', '42+16=58']
Exploring Operation: 1*58=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 58-1=57, Resulting Numbers: [57]
57,100 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: 100:[1, 79, 21], Operations: ['63-42=21']
Exploring Operation: 79+21=100, Resulting Numbers: [1, 100]
Generated Node #0,0,0: 100:[1, 100] Operation: 79+21=100
Exploring Operation: 79-21=58, Resulting Numbers: [1, 58]
Generated Node #0,0,1: 100:[1, 58] Operation: 79-21=58
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[1, 100], Operations: ['63-42=21', '79+21=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[1, 79, 63, 42], Operations: []
Exploring Operation: 63-42=21, Resulting Numbers: [1, 79, 21]
Generated Node #0,0: 100:[1, 79, 21] Operation: 63-42=21
Moving to Node #0,0
Current State: 100:[1, 79, 21], Operations: ['63-42=21']
Exploring Operation: 79+21=100, Resulting Numbers: [1, 100]
Generated Node #0,0,0: 100:[1, 100] Operation: 79+21=100
Moving to Node #0,0,0
Current State: 100:[1, 100], Operations: ['63-42=21', '79+21=100']
Exploring Operation: 1*100=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
50,
71,
6,
11
] | 61 | [
"11-6=5",
"50/5=10",
"71-10=61"
] | Current State: 61:[50, 71, 6, 11], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [50, 71, 5]
Generated Node #2: [50, 71, 5] from Operation: 11-6=5
Current State: 61:[50, 71, 5], Operations: ['11-6=5']
Exploring Operation: 50/5=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 50/5=10
Current State: 61:[71, 10], Operations: ['11-6=5', '50/5=10']
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[50, 71, 6, 11], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [71, 11, 56]
Generated Node #0,0: 61:[71, 11, 56] Operation: 50+6=56
Exploring Operation: 50+11=61, Resulting Numbers: [71, 6, 61]
Generated Node #0,1: 61:[71, 6, 61] Operation: 50+11=61
Exploring Operation: 6*11=66, Resulting Numbers: [50, 71, 66]
Generated Node #0,2: 61:[50, 71, 66] Operation: 6*11=66
Moving to Node #0,2
Current State: 61:[50, 71, 66], Operations: ['6*11=66']
Exploring Operation: 71-50=21, Resulting Numbers: [66, 21]
Generated Node #0,2,0: 61:[66, 21] Operation: 71-50=21
Exploring Operation: 50+71=121, Resulting Numbers: [66, 121]
Generated Node #0,2,1: 61:[66, 121] Operation: 50+71=121
Exploring Operation: 66-50=16, Resulting Numbers: [71, 16]
Generated Node #0,2,2: 61:[71, 16] Operation: 66-50=16
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[66, 21], Operations: ['6*11=66', '71-50=21']
Exploring Operation: 66+21=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 66*21=1386, Resulting Numbers: [1386]
1386,61 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 #0,2,2
Current State: 61:[71, 16], Operations: ['6*11=66', '66-50=16']
Exploring Operation: 71*16=1136, Resulting Numbers: [1136]
1136,61 unequal: No Solution
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,61 unequal: No Solution
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,61 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 #0,2,1
Current State: 61:[66, 121], Operations: ['6*11=66', '50+71=121']
Exploring Operation: 66*121=7986, Resulting Numbers: [7986]
7986,61 unequal: No Solution
Exploring Operation: 66+121=187, Resulting Numbers: [187]
187,61 unequal: No Solution
Exploring Operation: 121-66=55, Resulting Numbers: [55]
55,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 61:[71, 11, 56], Operations: ['50+6=56']
Exploring Operation: 11+56=67, Resulting Numbers: [71, 67]
Generated Node #0,0,0: 61:[71, 67] Operation: 11+56=67
Exploring Operation: 71-11=60, Resulting Numbers: [56, 60]
Generated Node #0,0,1: 61:[56, 60] Operation: 71-11=60
Exploring Operation: 71+11=82, Resulting Numbers: [56, 82]
Generated Node #0,0,2: 61:[56, 82] Operation: 71+11=82
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[56, 60], Operations: ['50+6=56', '71-11=60']
Exploring Operation: 56*60=3360, Resulting Numbers: [3360]
3360,61 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 56+60=116, Resulting Numbers: [116]
116,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[71, 67], Operations: ['50+6=56', '11+56=67']
Exploring Operation: 71*67=4757, Resulting Numbers: [4757]
4757,61 unequal: No Solution
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 71+67=138, Resulting Numbers: [138]
138,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[56, 82], Operations: ['50+6=56', '71+11=82']
Exploring Operation: 56*82=4592, Resulting Numbers: [4592]
4592,61 unequal: No Solution
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 56+82=138, Resulting Numbers: [138]
138,61 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: 61:[71, 6, 61], Operations: ['50+11=61']
Exploring Operation: 71+6=77, Resulting Numbers: [61, 77]
Generated Node #0,1,0: 61:[61, 77] Operation: 71+6=77
Exploring Operation: 6+61=67, Resulting Numbers: [71, 67]
Generated Node #0,1,1: 61:[71, 67] Operation: 6+61=67
Exploring Operation: 71-6=65, Resulting Numbers: [61, 65]
Generated Node #0,1,2: 61:[61, 65] Operation: 71-6=65
Moving to Node #0,1,2
Current State: 61:[61, 65], Operations: ['50+11=61', '71-6=65']
Exploring Operation: 65-61=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 61+65=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 61*65=3965, Resulting Numbers: [3965]
3965,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[61, 77], Operations: ['50+11=61', '71+6=77']
Exploring Operation: 61+77=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 61*77=4697, Resulting Numbers: [4697]
4697,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[71, 67], Operations: ['50+11=61', '6+61=67']
Exploring Operation: 71+67=138, Resulting Numbers: [138]
138,61 unequal: No Solution
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 71*67=4757, Resulting Numbers: [4757]
4757,61 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
93,
60,
4,
52
] | 91 | [
"60-52=8",
"8/4=2",
"93-2=91"
] | Current State: 91:[93, 60, 4, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [93, 4, 8]
Generated Node #2: [93, 4, 8] from Operation: 60-52=8
Current State: 91:[93, 4, 8], Operations: ['60-52=8']
Exploring Operation: 8/4=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 8/4=2
Current State: 91:[93, 2], Operations: ['60-52=8', '8/4=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[93, 60, 4, 52], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [93, 4, 8]
Generated Node #0,0: 91:[93, 4, 8] Operation: 60-52=8
Exploring Operation: 60+52=112, Resulting Numbers: [93, 4, 112]
Generated Node #0,1: 91:[93, 4, 112] Operation: 60+52=112
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[93, 4, 8], Operations: ['60-52=8']
Exploring Operation: 4+8=12, Resulting Numbers: [93, 12]
Generated Node #0,0,0: 91:[93, 12] Operation: 4+8=12
Exploring Operation: 93-4=89, Resulting Numbers: [8, 89]
Generated Node #0,0,1: 91:[8, 89] Operation: 93-4=89
Moving to Node #0,0,0
Current State: 91:[93, 12], Operations: ['60-52=8', '4+8=12']
Exploring Operation: 93+12=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[8, 89], Operations: ['60-52=8', '93-4=89']
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[93, 4, 112], Operations: ['60+52=112']
Exploring Operation: 112-93=19, Resulting Numbers: [4, 19]
Generated Node #0,1,0: 91:[4, 19] Operation: 112-93=19
Exploring Operation: 112/4=28, Resulting Numbers: [93, 28]
Generated Node #0,1,1: 91:[93, 28] Operation: 112/4=28
Moving to Node #0,1,0
Current State: 91:[4, 19], Operations: ['60+52=112', '112-93=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,91 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[93, 28], Operations: ['60+52=112', '112/4=28']
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 93+28=121, Resulting Numbers: [121]
121,91 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 |
[
6,
84,
30,
37
] | 40 | [
"6+84=90",
"90/30=3",
"37+3=40"
] | Current State: 40:[6, 84, 30, 37], Operations: []
Exploring Operation: 6+84=90, Resulting Numbers: [30, 37, 90]
Generated Node #2: [30, 37, 90] from Operation: 6+84=90
Current State: 40:[30, 37, 90], Operations: ['6+84=90']
Exploring Operation: 90/30=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 90/30=3
Current State: 40:[37, 3], Operations: ['6+84=90', '90/30=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[6, 84, 30, 37], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [30, 37, 14]
Generated Node #0,0: 40:[30, 37, 14] Operation: 84/6=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[30, 37, 14], Operations: ['84/6=14']
Exploring Operation: 37-30=7, Resulting Numbers: [14, 7]
Generated Node #0,0,0: 40:[14, 7] Operation: 37-30=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[14, 7], Operations: ['84/6=14', '37-30=7']
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,40 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_1 | sum_heuristic |
[
13,
17,
94,
42
] | 13 | [
"17-13=4",
"94-42=52",
"52/4=13"
] | Current State: 13:[13, 17, 94, 42], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [94, 42, 4]
Generated Node #2: [94, 42, 4] from Operation: 17-13=4
Current State: 13:[94, 42, 4], Operations: ['17-13=4']
Exploring Operation: 94-42=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 94-42=52
Current State: 13:[4, 52], Operations: ['17-13=4', '94-42=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[13, 17, 94, 42], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [13, 94, 25]
Generated Node #0,0: 13:[13, 94, 25] Operation: 42-17=25
Exploring Operation: 94-17=77, Resulting Numbers: [13, 42, 77]
Generated Node #0,1: 13:[13, 42, 77] Operation: 94-17=77
Exploring Operation: 94-42=52, Resulting Numbers: [13, 17, 52]
Generated Node #0,2: 13:[13, 17, 52] Operation: 94-42=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[13, 17, 52], Operations: ['94-42=52']
Exploring Operation: 52/13=4, Resulting Numbers: [17, 4]
Generated Node #0,2,0: 13:[17, 4] Operation: 52/13=4
Exploring Operation: 52-13=39, Resulting Numbers: [17, 39]
Generated Node #0,2,1: 13:[17, 39] Operation: 52-13=39
Exploring Operation: 52-17=35, Resulting Numbers: [13, 35]
Generated Node #0,2,2: 13:[13, 35] Operation: 52-17=35
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 13:[17, 4], Operations: ['94-42=52', '52/13=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[13, 17, 94, 42], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [13, 17, 52]
Generated Node #0,2: 13:[13, 17, 52] Operation: 94-42=52
Moving to Node #0,2
Current State: 13:[13, 17, 52], Operations: ['94-42=52']
Exploring Operation: 52/13=4, Resulting Numbers: [17, 4]
Generated Node #0,2,0: 13:[17, 4] Operation: 52/13=4
Moving to Node #0,2,0
Current State: 13:[17, 4], Operations: ['94-42=52', '52/13=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
61,
73,
75,
7
] | 34 | [
"61+7=68",
"75-73=2",
"68/2=34"
] | Current State: 34:[61, 73, 75, 7], Operations: []
Exploring Operation: 61+7=68, Resulting Numbers: [73, 75, 68]
Generated Node #2: [73, 75, 68] from Operation: 61+7=68
Current State: 34:[73, 75, 68], Operations: ['61+7=68']
Exploring Operation: 75-73=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 75-73=2
Current State: 34:[68, 2], Operations: ['61+7=68', '75-73=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[61, 73, 75, 7], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [73, 7, 14]
Generated Node #0,0: 34:[73, 7, 14] Operation: 75-61=14
Exploring Operation: 75-73=2, Resulting Numbers: [61, 7, 2]
Generated Node #0,1: 34:[61, 7, 2] Operation: 75-73=2
Moving to Node #0,1
Current State: 34:[61, 7, 2], Operations: ['75-73=2']
Exploring Operation: 61-7=54, Resulting Numbers: [2, 54]
Generated Node #0,1,0: 34:[2, 54] Operation: 61-7=54
Exploring Operation: 61-2=59, Resulting Numbers: [7, 59]
Generated Node #0,1,1: 34:[7, 59] Operation: 61-2=59
Moving to Node #0,0
Current State: 34:[73, 7, 14], Operations: ['75-61=14']
Exploring Operation: 73-7=66, Resulting Numbers: [14, 66]
Generated Node #0,0,0: 34:[14, 66] Operation: 73-7=66
Exploring Operation: 73-14=59, Resulting Numbers: [7, 59]
Generated Node #0,0,1: 34:[7, 59] Operation: 73-14=59
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[7, 59], Operations: ['75-61=14', '73-14=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,34 unequal: No Solution
No 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: 34:[14, 66], Operations: ['75-61=14', '73-7=66']
Exploring Operation: 14+66=80, Resulting Numbers: [80]
80,34 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,34 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: 34:[2, 54], Operations: ['75-73=2', '61-7=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[7, 59], Operations: ['75-73=2', '61-2=59']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,34 unequal: No Solution
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,34 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
46,
9,
79,
3
] | 36 | [
"79-46=33",
"9/3=3",
"33+3=36"
] | Current State: 36:[46, 9, 79, 3], Operations: []
Exploring Operation: 79-46=33, Resulting Numbers: [9, 3, 33]
Generated Node #2: [9, 3, 33] from Operation: 79-46=33
Current State: 36:[9, 3, 33], Operations: ['79-46=33']
Exploring Operation: 9/3=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 9/3=3
Current State: 36:[33, 3], Operations: ['79-46=33', '9/3=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[46, 9, 79, 3], Operations: []
Exploring Operation: 46-9=37, Resulting Numbers: [79, 3, 37]
Generated Node #0,0: 36:[79, 3, 37] Operation: 46-9=37
Exploring Operation: 79-46=33, Resulting Numbers: [9, 3, 33]
Generated Node #0,1: 36:[9, 3, 33] Operation: 79-46=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[9, 3, 33], Operations: ['79-46=33']
Exploring Operation: 3+33=36, Resulting Numbers: [9, 36]
Generated Node #0,1,0: 36:[9, 36] Operation: 3+33=36
Exploring Operation: 33/3=11, Resulting Numbers: [9, 11]
Generated Node #0,1,1: 36:[9, 11] Operation: 33/3=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[9, 36], Operations: ['79-46=33', '3+33=36']
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,36 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:[9, 11], Operations: ['79-46=33', '33/3=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,36 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:[79, 3, 37], Operations: ['46-9=37']
Exploring Operation: 79-3=76, Resulting Numbers: [37, 76]
Generated Node #0,0,0: 36:[37, 76] Operation: 79-3=76
Exploring Operation: 79-37=42, Resulting Numbers: [3, 42]
Generated Node #0,0,1: 36:[3, 42] Operation: 79-37=42
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[3, 42], Operations: ['46-9=37', '79-37=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,36 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:[37, 76], Operations: ['46-9=37', '79-3=76']
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 37+76=113, Resulting Numbers: [113]
113,36 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 | sum_heuristic |
[
21,
20,
48,
35
] | 63 | [
"48*35=1680",
"1680/20=84",
"84-21=63"
] | Current State: 63:[21, 20, 48, 35], Operations: []
Exploring Operation: 48*35=1680, Resulting Numbers: [21, 20, 1680]
Generated Node #2: [21, 20, 1680] from Operation: 48*35=1680
Current State: 63:[21, 20, 1680], Operations: ['48*35=1680']
Exploring Operation: 1680/20=84, Resulting Numbers: [21, 84]
Generated Node #3: [21, 84] from Operation: 1680/20=84
Current State: 63:[21, 84], Operations: ['48*35=1680', '1680/20=84']
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[21, 20, 48, 35], Operations: []
Exploring Operation: 48-35=13, Resulting Numbers: [21, 20, 13]
Generated Node #0,0: 63:[21, 20, 13] Operation: 48-35=13
Exploring Operation: 20+48=68, Resulting Numbers: [21, 35, 68]
Generated Node #0,1: 63:[21, 35, 68] Operation: 20+48=68
Moving to Node #0,0
Current State: 63:[21, 20, 13], Operations: ['48-35=13']
Exploring Operation: 21-13=8, Resulting Numbers: [20, 8]
Generated Node #0,0,0: 63:[20, 8] Operation: 21-13=8
Exploring Operation: 20-13=7, Resulting Numbers: [21, 7]
Generated Node #0,0,1: 63:[21, 7] Operation: 20-13=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[21, 7], Operations: ['48-35=13', '20-13=7']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,63 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[20, 8], Operations: ['48-35=13', '21-13=8']
Exploring Operation: 20+8=28, Resulting Numbers: [28]
28,63 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,63 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: 63:[21, 35, 68], Operations: ['20+48=68']
Exploring Operation: 35-21=14, Resulting Numbers: [68, 14]
Generated Node #0,1,0: 63:[68, 14] Operation: 35-21=14
Exploring Operation: 21+35=56, Resulting Numbers: [68, 56]
Generated Node #0,1,1: 63:[68, 56] Operation: 21+35=56
Moving to Node #0,1,0
Current State: 63:[68, 14], Operations: ['20+48=68', '35-21=14']
Exploring Operation: 68-14=54, Resulting Numbers: [54]
54,63 unequal: No Solution
Exploring Operation: 68+14=82, Resulting Numbers: [82]
82,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[68, 56], Operations: ['20+48=68', '21+35=56']
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,63 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
13,
55,
1,
89
] | 47 | [
"55-13=42",
"1*89=89",
"89-42=47"
] | Current State: 47:[13, 55, 1, 89], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [1, 89, 42]
Generated Node #2: [1, 89, 42] from Operation: 55-13=42
Current State: 47:[1, 89, 42], Operations: ['55-13=42']
Exploring Operation: 1*89=89, Resulting Numbers: [42, 89]
Generated Node #3: [42, 89] from Operation: 1*89=89
Current State: 47:[42, 89], Operations: ['55-13=42', '1*89=89']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[13, 55, 1, 89], Operations: []
Exploring Operation: 13+1=14, Resulting Numbers: [55, 89, 14]
Generated Node #0,0: 47:[55, 89, 14] Operation: 13+1=14
Exploring Operation: 89-13=76, Resulting Numbers: [55, 1, 76]
Generated Node #0,1: 47:[55, 1, 76] Operation: 89-13=76
Moving to Node #0,0
Current State: 47:[55, 89, 14], Operations: ['13+1=14']
Exploring Operation: 89-55=34, Resulting Numbers: [14, 34]
Generated Node #0,0,0: 47:[14, 34] Operation: 89-55=34
Exploring Operation: 89-14=75, Resulting Numbers: [55, 75]
Generated Node #0,0,1: 47:[55, 75] Operation: 89-14=75
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[55, 75], Operations: ['13+1=14', '89-14=75']
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 55+75=130, Resulting Numbers: [130]
130,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[14, 34], Operations: ['13+1=14', '89-55=34']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,47 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: 47:[55, 1, 76], Operations: ['89-13=76']
Exploring Operation: 76-1=75, Resulting Numbers: [55, 75]
Generated Node #0,1,0: 47:[55, 75] Operation: 76-1=75
Exploring Operation: 55-1=54, Resulting Numbers: [76, 54]
Generated Node #0,1,1: 47:[76, 54] Operation: 55-1=54
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[55, 75], Operations: ['89-13=76', '76-1=75']
Exploring Operation: 55+75=130, Resulting Numbers: [130]
130,47 unequal: No Solution
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[76, 54], Operations: ['89-13=76', '55-1=54']
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,47 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,47 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 |
[
30,
51,
50,
28
] | 52 | [
"30-28=2",
"51*2=102",
"102-50=52"
] | Current State: 52:[30, 51, 50, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [51, 50, 2]
Generated Node #2: [51, 50, 2] from Operation: 30-28=2
Current State: 52:[51, 50, 2], Operations: ['30-28=2']
Exploring Operation: 51*2=102, Resulting Numbers: [50, 102]
Generated Node #3: [50, 102] from Operation: 51*2=102
Current State: 52:[50, 102], Operations: ['30-28=2', '51*2=102']
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[30, 51, 50, 28], Operations: []
Exploring Operation: 50-30=20, Resulting Numbers: [51, 28, 20]
Generated Node #0,0: 52:[51, 28, 20] Operation: 50-30=20
Exploring Operation: 51-30=21, Resulting Numbers: [50, 28, 21]
Generated Node #0,1: 52:[50, 28, 21] Operation: 51-30=21
Exploring Operation: 30-28=2, Resulting Numbers: [51, 50, 2]
Generated Node #0,2: 52:[51, 50, 2] Operation: 30-28=2
Exploring Operation: 51-50=1, Resulting Numbers: [30, 28, 1]
Generated Node #0,3: 52:[30, 28, 1] Operation: 51-50=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[51, 50, 2], Operations: ['30-28=2']
Exploring Operation: 50+2=52, Resulting Numbers: [51, 52]
Generated Node #0,2,0: 52:[51, 52] Operation: 50+2=52
Exploring Operation: 51+2=53, Resulting Numbers: [50, 53]
Generated Node #0,2,1: 52:[50, 53] Operation: 51+2=53
Exploring Operation: 51-50=1, Resulting Numbers: [2, 1]
Generated Node #0,2,2: 52:[2, 1] Operation: 51-50=1
Exploring Operation: 50/2=25, Resulting Numbers: [51, 25]
Generated Node #0,2,3: 52:[51, 25] Operation: 50/2=25
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[51, 52], Operations: ['30-28=2', '50+2=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,52 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,52 unequal: No Solution
No 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: 52:[2, 1], Operations: ['30-28=2', '51-50=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No 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: 52:[51, 25], Operations: ['30-28=2', '50/2=25']
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,52 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No 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: 52:[50, 53], Operations: ['30-28=2', '51+2=53']
Exploring Operation: 50*53=2650, Resulting Numbers: [2650]
2650,52 unequal: No Solution
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 50+53=103, Resulting Numbers: [103]
103,52 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: 52:[30, 28, 1], Operations: ['51-50=1']
Exploring Operation: 30-1=29, Resulting Numbers: [28, 29]
Generated Node #0,3,0: 52:[28, 29] Operation: 30-1=29
Exploring Operation: 30-28=2, Resulting Numbers: [1, 2]
Generated Node #0,3,1: 52:[1, 2] Operation: 30-28=2
Exploring Operation: 30*1=30, Resulting Numbers: [28, 30]
Generated Node #0,3,2: 52:[28, 30] Operation: 30*1=30
Exploring Operation: 28-1=27, Resulting Numbers: [30, 27]
Generated Node #0,3,3: 52:[30, 27] Operation: 28-1=27
Moving to Node #0,3,1
Current State: 52:[1, 2], Operations: ['51-50=1', '30-28=2']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[30, 27], Operations: ['51-50=1', '28-1=27']
Exploring Operation: 30*27=810, Resulting Numbers: [810]
810,52 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[28, 29], Operations: ['51-50=1', '30-1=29']
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[28, 30], Operations: ['51-50=1', '30*1=30']
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,52 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[51, 28, 20], Operations: ['50-30=20']
Exploring Operation: 28-20=8, Resulting Numbers: [51, 8]
Generated Node #0,0,0: 52:[51, 8] Operation: 28-20=8
Exploring Operation: 51-28=23, Resulting Numbers: [20, 23]
Generated Node #0,0,1: 52:[20, 23] Operation: 51-28=23
Exploring Operation: 51-20=31, Resulting Numbers: [28, 31]
Generated Node #0,0,2: 52:[28, 31] Operation: 51-20=31
Exploring Operation: 28+20=48, Resulting Numbers: [51, 48]
Generated Node #0,0,3: 52:[51, 48] Operation: 28+20=48
Moving to Node #0,0,0
Current State: 52:[51, 8], Operations: ['50-30=20', '28-20=8']
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,52 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[51, 48], Operations: ['50-30=20', '28+20=48']
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,52 unequal: No Solution
Exploring Operation: 51*48=2448, Resulting Numbers: [2448]
2448,52 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[28, 31], Operations: ['50-30=20', '51-20=31']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[20, 23], Operations: ['50-30=20', '51-28=23']
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,52 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,52 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 #0,1
Current State: 52:[50, 28, 21], Operations: ['51-30=21']
Exploring Operation: 28+21=49, Resulting Numbers: [50, 49]
Generated Node #0,1,0: 52:[50, 49] Operation: 28+21=49
Exploring Operation: 50-21=29, Resulting Numbers: [28, 29]
Generated Node #0,1,1: 52:[28, 29] Operation: 50-21=29
Exploring Operation: 50-28=22, Resulting Numbers: [21, 22]
Generated Node #0,1,2: 52:[21, 22] Operation: 50-28=22
Exploring Operation: 28-21=7, Resulting Numbers: [50, 7]
Generated Node #0,1,3: 52:[50, 7] Operation: 28-21=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[50, 49], Operations: ['51-30=21', '28+21=49']
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,52 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,52 unequal: No Solution
No 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: 52:[28, 29], Operations: ['51-30=21', '50-21=29']
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,52 unequal: No Solution
No 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: 52:[50, 7], Operations: ['51-30=21', '28-21=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,52 unequal: No Solution
No 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: 52:[21, 22], Operations: ['51-30=21', '50-28=22']
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,52 unequal: No Solution
Exploring Operation: 21*22=462, Resulting Numbers: [462]
462,52 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,52 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 |
[
86,
9,
72,
72
] | 22 | [
"86-72=14",
"72/9=8",
"14+8=22"
] | Current State: 22:[86, 9, 72, 72], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [9, 14]
Generated Node #2: [9, 14] from Operation: 86-72=14
Current State: 22:[9, 14], Operations: ['86-72=14']
Exploring Operation: 72/9=8, Resulting Numbers: [14, 8]
Generated Node #3: [14, 8] from Operation: 72/9=8
Current State: 22:[14, 8], Operations: ['86-72=14', '72/9=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[86, 9, 72, 72], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [9, 72, 14]
Generated Node #0,0: 22:[9, 72, 14] Operation: 86-72=14
Exploring Operation: 72/72=1, Resulting Numbers: [86, 9, 1]
Generated Node #0,1: 22:[86, 9, 1] Operation: 72/72=1
Exploring Operation: 72-72=0, Resulting Numbers: [86, 9, 0]
Generated Node #0,2: 22:[86, 9, 0] Operation: 72-72=0
Exploring Operation: 86-72=14, Resulting Numbers: [9, 72, 14]
Generated Node #0,3: 22:[9, 72, 14] Operation: 86-72=14
Exploring Operation: 72/9=8, Resulting Numbers: [86, 72, 8]
Generated Node #0,4: 22:[86, 72, 8] Operation: 72/9=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[9, 72, 14], Operations: ['86-72=14']
Exploring Operation: 72-14=58, Resulting Numbers: [9, 58]
Generated Node #0,0,0: 22:[9, 58] Operation: 72-14=58
Exploring Operation: 14-9=5, Resulting Numbers: [72, 5]
Generated Node #0,0,1: 22:[72, 5] Operation: 14-9=5
Exploring Operation: 72/9=8, Resulting Numbers: [14, 8]
Generated Node #0,0,2: 22:[14, 8] Operation: 72/9=8
Exploring Operation: 9+14=23, Resulting Numbers: [72, 23]
Generated Node #0,0,3: 22:[72, 23] Operation: 9+14=23
Exploring Operation: 72-9=63, Resulting Numbers: [14, 63]
Generated Node #0,0,4: 22:[14, 63] Operation: 72-9=63
Moving to Node #0,0,2
Current State: 22:[14, 8], Operations: ['86-72=14', '72/9=8']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[86, 9, 72, 72], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [9, 72, 14]
Generated Node #0,0: 22:[9, 72, 14] Operation: 86-72=14
Moving to Node #0,0
Current State: 22:[9, 72, 14], Operations: ['86-72=14']
Exploring Operation: 72/9=8, Resulting Numbers: [14, 8]
Generated Node #0,0,2: 22:[14, 8] Operation: 72/9=8
Moving to Node #0,0,2
Current State: 22:[14, 8], Operations: ['86-72=14', '72/9=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
84,
32,
96,
3
] | 60 | [
"84+32=116",
"116-96=20",
"3*20=60"
] | Current State: 60:[84, 32, 96, 3], Operations: []
Exploring Operation: 84+32=116, Resulting Numbers: [96, 3, 116]
Generated Node #2: [96, 3, 116] from Operation: 84+32=116
Current State: 60:[96, 3, 116], Operations: ['84+32=116']
Exploring Operation: 116-96=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 116-96=20
Current State: 60:[3, 20], Operations: ['84+32=116', '116-96=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[84, 32, 96, 3], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [84, 3, 3]
Generated Node #0,0: 60:[84, 3, 3] Operation: 96/32=3
Exploring Operation: 96-84=12, Resulting Numbers: [32, 3, 12]
Generated Node #0,1: 60:[32, 3, 12] Operation: 96-84=12
Exploring Operation: 96/3=32, Resulting Numbers: [84, 32, 32]
Generated Node #0,2: 60:[84, 32, 32] Operation: 96/3=32
Exploring Operation: 96-32=64, Resulting Numbers: [84, 3, 64]
Generated Node #0,3: 60:[84, 3, 64] Operation: 96-32=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[32, 3, 12], Operations: ['96-84=12']
Exploring Operation: 32-3=29, Resulting Numbers: [12, 29]
Generated Node #0,1,0: 60:[12, 29] Operation: 32-3=29
Exploring Operation: 12/3=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 60:[32, 4] Operation: 12/3=4
Exploring Operation: 3+12=15, Resulting Numbers: [32, 15]
Generated Node #0,1,2: 60:[32, 15] Operation: 3+12=15
Exploring Operation: 32-12=20, Resulting Numbers: [3, 20]
Generated Node #0,1,3: 60:[3, 20] Operation: 32-12=20
Moving to Node #0,1,3
Current State: 60:[3, 20], Operations: ['96-84=12', '32-12=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[84, 32, 96, 3], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [32, 3, 12]
Generated Node #0,1: 60:[32, 3, 12] Operation: 96-84=12
Moving to Node #0,1
Current State: 60:[32, 3, 12], Operations: ['96-84=12']
Exploring Operation: 32-12=20, Resulting Numbers: [3, 20]
Generated Node #0,1,3: 60:[3, 20] Operation: 32-12=20
Moving to Node #0,1,3
Current State: 60:[3, 20], Operations: ['96-84=12', '32-12=20']
Exploring Operation: 3*20=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
13,
82,
9,
18
] | 96 | [
"82-13=69",
"9+18=27",
"69+27=96"
] | Current State: 96:[13, 82, 9, 18], Operations: []
Exploring Operation: 82-13=69, Resulting Numbers: [9, 18, 69]
Generated Node #2: [9, 18, 69] from Operation: 82-13=69
Current State: 96:[9, 18, 69], Operations: ['82-13=69']
Exploring Operation: 9+18=27, Resulting Numbers: [69, 27]
Generated Node #3: [69, 27] from Operation: 9+18=27
Current State: 96:[69, 27], Operations: ['82-13=69', '9+18=27']
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[13, 82, 9, 18], Operations: []
Exploring Operation: 13+82=95, Resulting Numbers: [9, 18, 95]
Generated Node #0,0: 96:[9, 18, 95] Operation: 13+82=95
Moving to Node #0,0
Current State: 96:[9, 18, 95], Operations: ['13+82=95']
Exploring Operation: 18/9=2, Resulting Numbers: [95, 2]
Generated Node #0,0,0: 96:[95, 2] Operation: 18/9=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[95, 2], Operations: ['13+82=95', '18/9=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,96 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 |
[
21,
35,
18,
55
] | 87 | [
"35-21=14",
"18+55=73",
"14+73=87"
] | Current State: 87:[21, 35, 18, 55], Operations: []
Exploring Operation: 35-21=14, Resulting Numbers: [18, 55, 14]
Generated Node #2: [18, 55, 14] from Operation: 35-21=14
Current State: 87:[18, 55, 14], Operations: ['35-21=14']
Exploring Operation: 18+55=73, Resulting Numbers: [14, 73]
Generated Node #3: [14, 73] from Operation: 18+55=73
Current State: 87:[14, 73], Operations: ['35-21=14', '18+55=73']
Exploring Operation: 14+73=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[21, 35, 18, 55], Operations: []
Exploring Operation: 21+55=76, Resulting Numbers: [35, 18, 76]
Generated Node #0,0: 87:[35, 18, 76] Operation: 21+55=76
Exploring Operation: 55-21=34, Resulting Numbers: [35, 18, 34]
Generated Node #0,1: 87:[35, 18, 34] Operation: 55-21=34
Exploring Operation: 35+55=90, Resulting Numbers: [21, 18, 90]
Generated Node #0,2: 87:[21, 18, 90] Operation: 35+55=90
Exploring Operation: 55-18=37, Resulting Numbers: [21, 35, 37]
Generated Node #0,3: 87:[21, 35, 37] Operation: 55-18=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[35, 18, 34], Operations: ['55-21=34']
Exploring Operation: 35-34=1, Resulting Numbers: [18, 1]
Generated Node #0,1,0: 87:[18, 1] Operation: 35-34=1
Exploring Operation: 35+18=53, Resulting Numbers: [34, 53]
Generated Node #0,1,1: 87:[34, 53] Operation: 35+18=53
Exploring Operation: 35-18=17, Resulting Numbers: [34, 17]
Generated Node #0,1,2: 87:[34, 17] Operation: 35-18=17
Exploring Operation: 34-18=16, Resulting Numbers: [35, 16]
Generated Node #0,1,3: 87:[35, 16] Operation: 34-18=16
Moving to Node #0,1,0
Current State: 87:[18, 1], Operations: ['55-21=34', '35-34=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[34, 17], Operations: ['55-21=34', '35-18=17']
Exploring Operation: 34*17=578, Resulting Numbers: [578]
578,87 unequal: No Solution
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 34+17=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[35, 16], Operations: ['55-21=34', '34-18=16']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 35+16=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[34, 53], Operations: ['55-21=34', '35+18=53']
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[21, 35, 18, 55], Operations: []
Exploring Operation: 55-21=34, Resulting Numbers: [35, 18, 34]
Generated Node #0,1: 87:[35, 18, 34] Operation: 55-21=34
Moving to Node #0,1
Current State: 87:[35, 18, 34], Operations: ['55-21=34']
Exploring Operation: 35+18=53, Resulting Numbers: [34, 53]
Generated Node #0,1,1: 87:[34, 53] Operation: 35+18=53
Moving to Node #0,1,1
Current State: 87:[34, 53], Operations: ['55-21=34', '35+18=53']
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
4,
40,
91,
93
] | 36 | [
"91-40=51",
"93+51=144",
"144/4=36"
] | Current State: 36:[4, 40, 91, 93], Operations: []
Exploring Operation: 91-40=51, Resulting Numbers: [4, 93, 51]
Generated Node #2: [4, 93, 51] from Operation: 91-40=51
Current State: 36:[4, 93, 51], Operations: ['91-40=51']
Exploring Operation: 93+51=144, Resulting Numbers: [4, 144]
Generated Node #3: [4, 144] from Operation: 93+51=144
Current State: 36:[4, 144], Operations: ['91-40=51', '93+51=144']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[4, 40, 91, 93], Operations: []
Exploring Operation: 91-40=51, Resulting Numbers: [4, 93, 51]
Generated Node #0,0: 36:[4, 93, 51] Operation: 91-40=51
Exploring Operation: 93-91=2, Resulting Numbers: [4, 40, 2]
Generated Node #0,1: 36:[4, 40, 2] Operation: 93-91=2
Exploring Operation: 93-40=53, Resulting Numbers: [4, 91, 53]
Generated Node #0,2: 36:[4, 91, 53] Operation: 93-40=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[4, 40, 2], Operations: ['93-91=2']
Exploring Operation: 40/4=10, Resulting Numbers: [2, 10]
Generated Node #0,1,0: 36:[2, 10] Operation: 40/4=10
Exploring Operation: 40-2=38, Resulting Numbers: [4, 38]
Generated Node #0,1,1: 36:[4, 38] Operation: 40-2=38
Exploring Operation: 40-4=36, Resulting Numbers: [2, 36]
Generated Node #0,1,2: 36:[2, 36] Operation: 40-4=36
Moving to Node #0,1,2
Current State: 36:[2, 36], Operations: ['93-91=2', '40-4=36']
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[2, 10], Operations: ['93-91=2', '40/4=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[4, 38], Operations: ['93-91=2', '40-2=38']
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,36 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[4, 93, 51], Operations: ['91-40=51']
Exploring Operation: 93-4=89, Resulting Numbers: [51, 89]
Generated Node #0,0,0: 36:[51, 89] Operation: 93-4=89
Exploring Operation: 93-51=42, Resulting Numbers: [4, 42]
Generated Node #0,0,1: 36:[4, 42] Operation: 93-51=42
Exploring Operation: 51-4=47, Resulting Numbers: [93, 47]
Generated Node #0,0,2: 36:[93, 47] Operation: 51-4=47
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[4, 42], Operations: ['91-40=51', '93-51=42']
Exploring Operation: 4*42=168, Resulting Numbers: [168]
168,36 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,36 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:[51, 89], Operations: ['91-40=51', '93-4=89']
Exploring Operation: 51*89=4539, Resulting Numbers: [4539]
4539,36 unequal: No Solution
Exploring Operation: 51+89=140, Resulting Numbers: [140]
140,36 unequal: No Solution
Exploring Operation: 89-51=38, Resulting Numbers: [38]
38,36 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 #0,0,2
Current State: 36:[93, 47], Operations: ['91-40=51', '51-4=47']
Exploring Operation: 93+47=140, Resulting Numbers: [140]
140,36 unequal: No Solution
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,36 unequal: No Solution
Exploring Operation: 93*47=4371, Resulting Numbers: [4371]
4371,36 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 #0,2
Current State: 36:[4, 91, 53], Operations: ['93-40=53']
Exploring Operation: 91-4=87, Resulting Numbers: [53, 87]
Generated Node #0,2,0: 36:[53, 87] Operation: 91-4=87
Exploring Operation: 91-53=38, Resulting Numbers: [4, 38]
Generated Node #0,2,1: 36:[4, 38] Operation: 91-53=38
Exploring Operation: 53-4=49, Resulting Numbers: [91, 49]
Generated Node #0,2,2: 36:[91, 49] Operation: 53-4=49
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 36:[4, 38], Operations: ['93-40=53', '91-53=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,36 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,36 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 #0,2,0
Current State: 36:[53, 87], Operations: ['93-40=53', '91-4=87']
Exploring Operation: 53+87=140, Resulting Numbers: [140]
140,36 unequal: No Solution
Exploring Operation: 53*87=4611, Resulting Numbers: [4611]
4611,36 unequal: No Solution
Exploring Operation: 87-53=34, Resulting Numbers: [34]
34,36 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 #0,2,2
Current State: 36:[91, 49], Operations: ['93-40=53', '53-4=49']
Exploring Operation: 91*49=4459, Resulting Numbers: [4459]
4459,36 unequal: No Solution
Exploring Operation: 91-49=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 91+49=140, Resulting Numbers: [140]
140,36 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_3 | mult_heuristic |
[
48,
29,
31,
90
] | 40 | [
"48-29=19",
"90-31=59",
"59-19=40"
] | Current State: 40:[48, 29, 31, 90], Operations: []
Exploring Operation: 48-29=19, Resulting Numbers: [31, 90, 19]
Generated Node #2: [31, 90, 19] from Operation: 48-29=19
Current State: 40:[31, 90, 19], Operations: ['48-29=19']
Exploring Operation: 90-31=59, Resulting Numbers: [19, 59]
Generated Node #3: [19, 59] from Operation: 90-31=59
Current State: 40:[19, 59], Operations: ['48-29=19', '90-31=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[48, 29, 31, 90], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [29, 31, 42]
Generated Node #0,0: 40:[29, 31, 42] Operation: 90-48=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[29, 31, 42], Operations: ['90-48=42']
Exploring Operation: 31-29=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 40:[42, 2] Operation: 31-29=2
Moving to Node #0,0,0
Current State: 40:[42, 2], Operations: ['90-48=42', '31-29=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[48, 29, 31, 90], Operations: []
Exploring Operation: 90-48=42, Resulting Numbers: [29, 31, 42]
Generated Node #0,0: 40:[29, 31, 42] Operation: 90-48=42
Moving to Node #0,0
Current State: 40:[29, 31, 42], Operations: ['90-48=42']
Exploring Operation: 31-29=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 40:[42, 2] Operation: 31-29=2
Moving to Node #0,0,0
Current State: 40:[42, 2], Operations: ['90-48=42', '31-29=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
25,
5,
98,
64
] | 91 | [
"25*5=125",
"98-64=34",
"125-34=91"
] | Current State: 91:[25, 5, 98, 64], Operations: []
Exploring Operation: 25*5=125, Resulting Numbers: [98, 64, 125]
Generated Node #2: [98, 64, 125] from Operation: 25*5=125
Current State: 91:[98, 64, 125], Operations: ['25*5=125']
Exploring Operation: 98-64=34, Resulting Numbers: [125, 34]
Generated Node #3: [125, 34] from Operation: 98-64=34
Current State: 91:[125, 34], Operations: ['25*5=125', '98-64=34']
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[25, 5, 98, 64], Operations: []
Exploring Operation: 25+64=89, Resulting Numbers: [5, 98, 89]
Generated Node #0,0: 91:[5, 98, 89] Operation: 25+64=89
Exploring Operation: 98-64=34, Resulting Numbers: [25, 5, 34]
Generated Node #0,1: 91:[25, 5, 34] Operation: 98-64=34
Exploring Operation: 64-25=39, Resulting Numbers: [5, 98, 39]
Generated Node #0,2: 91:[5, 98, 39] Operation: 64-25=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[5, 98, 89], Operations: ['25+64=89']
Exploring Operation: 5+89=94, Resulting Numbers: [98, 94]
Generated Node #0,0,0: 91:[98, 94] Operation: 5+89=94
Exploring Operation: 98-5=93, Resulting Numbers: [89, 93]
Generated Node #0,0,1: 91:[89, 93] Operation: 98-5=93
Exploring Operation: 98-89=9, Resulting Numbers: [5, 9]
Generated Node #0,0,2: 91:[5, 9] Operation: 98-89=9
Moving to Node #0,0,1
Current State: 91:[89, 93], Operations: ['25+64=89', '98-5=93']
Exploring Operation: 93-89=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 89+93=182, Resulting Numbers: [182]
182,91 unequal: No Solution
Exploring Operation: 89*93=8277, Resulting Numbers: [8277]
8277,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[5, 9], Operations: ['25+64=89', '98-89=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[98, 94], Operations: ['25+64=89', '5+89=94']
Exploring Operation: 98+94=192, Resulting Numbers: [192]
192,91 unequal: No Solution
Exploring Operation: 98*94=9212, Resulting Numbers: [9212]
9212,91 unequal: No Solution
Exploring Operation: 98-94=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[25, 5, 34], Operations: ['98-64=34']
Exploring Operation: 25-5=20, Resulting Numbers: [34, 20]
Generated Node #0,1,0: 91:[34, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [34, 5]
Generated Node #0,1,1: 91:[34, 5] Operation: 25/5=5
Exploring Operation: 34-25=9, Resulting Numbers: [5, 9]
Generated Node #0,1,2: 91:[5, 9] Operation: 34-25=9
Moving to Node #0,1,2
Current State: 91:[5, 9], Operations: ['98-64=34', '34-25=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,91 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[34, 5], Operations: ['98-64=34', '25/5=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,91 unequal: No Solution
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 34*5=170, Resulting Numbers: [170]
170,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[34, 20], Operations: ['98-64=34', '25-5=20']
Exploring Operation: 34+20=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 34*20=680, Resulting Numbers: [680]
680,91 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[5, 98, 39], Operations: ['64-25=39']
Exploring Operation: 98-5=93, Resulting Numbers: [39, 93]
Generated Node #0,2,0: 91:[39, 93] Operation: 98-5=93
Exploring Operation: 98-39=59, Resulting Numbers: [5, 59]
Generated Node #0,2,1: 91:[5, 59] Operation: 98-39=59
Exploring Operation: 39-5=34, Resulting Numbers: [98, 34]
Generated Node #0,2,2: 91:[98, 34] Operation: 39-5=34
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 91:[39, 93], Operations: ['64-25=39', '98-5=93']
Exploring Operation: 39+93=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 39*93=3627, Resulting Numbers: [3627]
3627,91 unequal: No Solution
Exploring Operation: 93-39=54, Resulting Numbers: [54]
54,91 unequal: No Solution
No 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: 91:[98, 34], Operations: ['64-25=39', '39-5=34']
Exploring Operation: 98*34=3332, Resulting Numbers: [3332]
3332,91 unequal: No Solution
Exploring Operation: 98-34=64, Resulting Numbers: [64]
64,91 unequal: No Solution
Exploring Operation: 98+34=132, Resulting Numbers: [132]
132,91 unequal: No Solution
No 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: 91:[5, 59], Operations: ['64-25=39', '98-39=59']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,91 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,91 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 |
[
56,
54,
65,
90
] | 27 | [
"56-54=2",
"90-65=25",
"2+25=27"
] | Current State: 27:[56, 54, 65, 90], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [65, 90, 2]
Generated Node #2: [65, 90, 2] from Operation: 56-54=2
Current State: 27:[65, 90, 2], Operations: ['56-54=2']
Exploring Operation: 90-65=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 90-65=25
Current State: 27:[2, 25], Operations: ['56-54=2', '90-65=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[56, 54, 65, 90], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [56, 54, 25]
Generated Node #0,0: 27:[56, 54, 25] Operation: 90-65=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[56, 54, 25], Operations: ['90-65=25']
Exploring Operation: 56-54=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 27:[25, 2] Operation: 56-54=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[25, 2], Operations: ['90-65=25', '56-54=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[56, 54, 65, 90], Operations: []
Exploring Operation: 90-65=25, Resulting Numbers: [56, 54, 25]
Generated Node #0,0: 27:[56, 54, 25] Operation: 90-65=25
Moving to Node #0,0
Current State: 27:[56, 54, 25], Operations: ['90-65=25']
Exploring Operation: 56-54=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 27:[25, 2] Operation: 56-54=2
Moving to Node #0,0,0
Current State: 27:[25, 2], Operations: ['90-65=25', '56-54=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
45,
17,
45,
9
] | 27 | [
"45+45=90",
"90/9=10",
"17+10=27"
] | Current State: 27:[45, 17, 45, 9], Operations: []
Exploring Operation: 45+45=90, Resulting Numbers: [17, 9, 90]
Generated Node #2: [17, 9, 90] from Operation: 45+45=90
Current State: 27:[17, 9, 90], Operations: ['45+45=90']
Exploring Operation: 90/9=10, Resulting Numbers: [17, 10]
Generated Node #3: [17, 10] from Operation: 90/9=10
Current State: 27:[17, 10], Operations: ['45+45=90', '90/9=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[45, 17, 45, 9], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [17, 9, 1]
Generated Node #0,0: 27:[17, 9, 1] Operation: 45/45=1
Exploring Operation: 45-17=28, Resulting Numbers: [45, 9, 28]
Generated Node #0,1: 27:[45, 9, 28] Operation: 45-17=28
Exploring Operation: 45/9=5, Resulting Numbers: [17, 45, 5]
Generated Node #0,2: 27:[17, 45, 5] Operation: 45/9=5
Exploring Operation: 45-17=28, Resulting Numbers: [45, 9, 28]
Generated Node #0,3: 27:[45, 9, 28] Operation: 45-17=28
Exploring Operation: 45-45=0, Resulting Numbers: [17, 9, 0]
Generated Node #0,4: 27:[17, 9, 0] Operation: 45-45=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[17, 9, 1], Operations: ['45/45=1']
Exploring Operation: 17-1=16, Resulting Numbers: [9, 16]
Generated Node #0,0,0: 27:[9, 16] Operation: 17-1=16
Exploring Operation: 17/1=17, Resulting Numbers: [9, 17]
Generated Node #0,0,1: 27:[9, 17] Operation: 17/1=17
Exploring Operation: 17+9=26, Resulting Numbers: [1, 26]
Generated Node #0,0,2: 27:[1, 26] Operation: 17+9=26
Exploring Operation: 17-9=8, Resulting Numbers: [1, 8]
Generated Node #0,0,3: 27:[1, 8] Operation: 17-9=8
Exploring Operation: 17*1=17, Resulting Numbers: [9, 17]
Generated Node #0,0,4: 27:[9, 17] Operation: 17*1=17
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[1, 26], Operations: ['45/45=1', '17+9=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[45, 17, 45, 9], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [17, 9, 1]
Generated Node #0,0: 27:[17, 9, 1] Operation: 45/45=1
Moving to Node #0,0
Current State: 27:[17, 9, 1], Operations: ['45/45=1']
Exploring Operation: 17+9=26, Resulting Numbers: [1, 26]
Generated Node #0,0,2: 27:[1, 26] Operation: 17+9=26
Moving to Node #0,0,2
Current State: 27:[1, 26], Operations: ['45/45=1', '17+9=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
48,
77,
79,
81
] | 53 | [
"81-79=2",
"48/2=24",
"77-24=53"
] | Current State: 53:[48, 77, 79, 81], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [48, 77, 2]
Generated Node #2: [48, 77, 2] from Operation: 81-79=2
Current State: 53:[48, 77, 2], Operations: ['81-79=2']
Exploring Operation: 48/2=24, Resulting Numbers: [77, 24]
Generated Node #3: [77, 24] from Operation: 48/2=24
Current State: 53:[77, 24], Operations: ['81-79=2', '48/2=24']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[48, 77, 79, 81], Operations: []
Exploring Operation: 77-48=29, Resulting Numbers: [79, 81, 29]
Generated Node #0,0: 53:[79, 81, 29] Operation: 77-48=29
Exploring Operation: 81-79=2, Resulting Numbers: [48, 77, 2]
Generated Node #0,1: 53:[48, 77, 2] Operation: 81-79=2
Exploring Operation: 79-48=31, Resulting Numbers: [77, 81, 31]
Generated Node #0,2: 53:[77, 81, 31] Operation: 79-48=31
Exploring Operation: 81-77=4, Resulting Numbers: [48, 79, 4]
Generated Node #0,3: 53:[48, 79, 4] Operation: 81-77=4
Exploring Operation: 81-48=33, Resulting Numbers: [77, 79, 33]
Generated Node #0,4: 53:[77, 79, 33] Operation: 81-48=33
Moving to Node #0,4
Current State: 53:[77, 79, 33], Operations: ['81-48=33']
Exploring Operation: 77-33=44, Resulting Numbers: [79, 44]
Generated Node #0,4,0: 53:[79, 44] Operation: 77-33=44
Exploring Operation: 79+33=112, Resulting Numbers: [77, 112]
Generated Node #0,4,1: 53:[77, 112] Operation: 79+33=112
Exploring Operation: 79-77=2, Resulting Numbers: [33, 2]
Generated Node #0,4,2: 53:[33, 2] Operation: 79-77=2
Exploring Operation: 77+33=110, Resulting Numbers: [79, 110]
Generated Node #0,4,3: 53:[79, 110] Operation: 77+33=110
Exploring Operation: 79-33=46, Resulting Numbers: [77, 46]
Generated Node #0,4,4: 53:[77, 46] Operation: 79-33=46
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 53:[77, 46], Operations: ['81-48=33', '79-33=46']
Exploring Operation: 77+46=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 77*46=3542, Resulting Numbers: [3542]
3542,53 unequal: No Solution
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 53:[79, 44], Operations: ['81-48=33', '77-33=44']
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 79*44=3476, Resulting Numbers: [3476]
3476,53 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 53:[33, 2], Operations: ['81-48=33', '79-77=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 53:[77, 112], Operations: ['81-48=33', '79+33=112']
Exploring Operation: 77+112=189, Resulting Numbers: [189]
189,53 unequal: No Solution
Exploring Operation: 77*112=8624, Resulting Numbers: [8624]
8624,53 unequal: No Solution
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 53:[79, 110], Operations: ['81-48=33', '77+33=110']
Exploring Operation: 79*110=8690, Resulting Numbers: [8690]
8690,53 unequal: No Solution
Exploring Operation: 79+110=189, Resulting Numbers: [189]
189,53 unequal: No Solution
Exploring Operation: 110-79=31, Resulting Numbers: [31]
31,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 53:[77, 81, 31], Operations: ['79-48=31']
Exploring Operation: 77+31=108, Resulting Numbers: [81, 108]
Generated Node #0,2,0: 53:[81, 108] Operation: 77+31=108
Exploring Operation: 81+31=112, Resulting Numbers: [77, 112]
Generated Node #0,2,1: 53:[77, 112] Operation: 81+31=112
Exploring Operation: 81-31=50, Resulting Numbers: [77, 50]
Generated Node #0,2,2: 53:[77, 50] Operation: 81-31=50
Exploring Operation: 81-77=4, Resulting Numbers: [31, 4]
Generated Node #0,2,3: 53:[31, 4] Operation: 81-77=4
Exploring Operation: 77-31=46, Resulting Numbers: [81, 46]
Generated Node #0,2,4: 53:[81, 46] Operation: 77-31=46
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[77, 50], Operations: ['79-48=31', '81-31=50']
Exploring Operation: 77*50=3850, Resulting Numbers: [3850]
3850,53 unequal: No Solution
Exploring Operation: 77+50=127, Resulting Numbers: [127]
127,53 unequal: No Solution
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 53:[81, 46], Operations: ['79-48=31', '77-31=46']
Exploring Operation: 81*46=3726, Resulting Numbers: [3726]
3726,53 unequal: No Solution
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 81+46=127, Resulting Numbers: [127]
127,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 53:[31, 4], Operations: ['79-48=31', '81-77=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 31*4=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[81, 108], Operations: ['79-48=31', '77+31=108']
Exploring Operation: 108-81=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 81*108=8748, Resulting Numbers: [8748]
8748,53 unequal: No Solution
Exploring Operation: 81+108=189, Resulting Numbers: [189]
189,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[77, 112], Operations: ['79-48=31', '81+31=112']
Exploring Operation: 77*112=8624, Resulting Numbers: [8624]
8624,53 unequal: No Solution
Exploring Operation: 77+112=189, Resulting Numbers: [189]
189,53 unequal: No Solution
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,53 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: 53:[79, 81, 29], Operations: ['77-48=29']
Exploring Operation: 81+29=110, Resulting Numbers: [79, 110]
Generated Node #0,0,0: 53:[79, 110] Operation: 81+29=110
Exploring Operation: 79+29=108, Resulting Numbers: [81, 108]
Generated Node #0,0,1: 53:[81, 108] Operation: 79+29=108
Exploring Operation: 81-79=2, Resulting Numbers: [29, 2]
Generated Node #0,0,2: 53:[29, 2] Operation: 81-79=2
Exploring Operation: 79-29=50, Resulting Numbers: [81, 50]
Generated Node #0,0,3: 53:[81, 50] Operation: 79-29=50
Exploring Operation: 81-29=52, Resulting Numbers: [79, 52]
Generated Node #0,0,4: 53:[79, 52] Operation: 81-29=52
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 53:[79, 52], Operations: ['77-48=29', '81-29=52']
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,53 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 53:[81, 50], Operations: ['77-48=29', '79-29=50']
Exploring Operation: 81*50=4050, Resulting Numbers: [4050]
4050,53 unequal: No Solution
Exploring Operation: 81+50=131, Resulting Numbers: [131]
131,53 unequal: No Solution
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[29, 2], Operations: ['77-48=29', '81-79=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[79, 110], Operations: ['77-48=29', '81+29=110']
Exploring Operation: 79*110=8690, Resulting Numbers: [8690]
8690,53 unequal: No Solution
Exploring Operation: 110-79=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 79+110=189, Resulting Numbers: [189]
189,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[81, 108], Operations: ['77-48=29', '79+29=108']
Exploring Operation: 81*108=8748, Resulting Numbers: [8748]
8748,53 unequal: No Solution
Exploring Operation: 108-81=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 81+108=189, Resulting Numbers: [189]
189,53 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: 53:[48, 77, 2], Operations: ['81-79=2']
Exploring Operation: 48/2=24, Resulting Numbers: [77, 24]
Generated Node #0,1,0: 53:[77, 24] Operation: 48/2=24
Exploring Operation: 77-2=75, Resulting Numbers: [48, 75]
Generated Node #0,1,1: 53:[48, 75] Operation: 77-2=75
Exploring Operation: 48+2=50, Resulting Numbers: [77, 50]
Generated Node #0,1,2: 53:[77, 50] Operation: 48+2=50
Exploring Operation: 77+2=79, Resulting Numbers: [48, 79]
Generated Node #0,1,3: 53:[48, 79] Operation: 77+2=79
Exploring Operation: 48-2=46, Resulting Numbers: [77, 46]
Generated Node #0,1,4: 53:[77, 46] Operation: 48-2=46
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[48, 75], Operations: ['81-79=2', '77-2=75']
Exploring Operation: 75-48=27, Resulting Numbers: [27]
27,53 unequal: No Solution
Exploring Operation: 48*75=3600, Resulting Numbers: [3600]
3600,53 unequal: No Solution
Exploring Operation: 48+75=123, Resulting Numbers: [123]
123,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[77, 50], Operations: ['81-79=2', '48+2=50']
Exploring Operation: 77+50=127, Resulting Numbers: [127]
127,53 unequal: No Solution
Exploring Operation: 77*50=3850, Resulting Numbers: [3850]
3850,53 unequal: No Solution
Exploring Operation: 77-50=27, Resulting Numbers: [27]
27,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[48, 79], Operations: ['81-79=2', '77+2=79']
Exploring Operation: 48*79=3792, Resulting Numbers: [3792]
3792,53 unequal: No Solution
Exploring Operation: 48+79=127, Resulting Numbers: [127]
127,53 unequal: No Solution
Exploring Operation: 79-48=31, Resulting Numbers: [31]
31,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 53:[77, 46], Operations: ['81-79=2', '48-2=46']
Exploring Operation: 77-46=31, Resulting Numbers: [31]
31,53 unequal: No Solution
Exploring Operation: 77*46=3542, Resulting Numbers: [3542]
3542,53 unequal: No Solution
Exploring Operation: 77+46=123, Resulting Numbers: [123]
123,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[77, 24], Operations: ['81-79=2', '48/2=24']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[48, 77, 79, 81], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [48, 77, 2]
Generated Node #0,1: 53:[48, 77, 2] Operation: 81-79=2
Moving to Node #0,1
Current State: 53:[48, 77, 2], Operations: ['81-79=2']
Exploring Operation: 48/2=24, Resulting Numbers: [77, 24]
Generated Node #0,1,0: 53:[77, 24] Operation: 48/2=24
Moving to Node #0,1,0
Current State: 53:[77, 24], Operations: ['81-79=2', '48/2=24']
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.924479 | hs_5 | sum_heuristic |
[
34,
93,
65,
24
] | 21 | [
"65-34=31",
"93/31=3",
"24-3=21"
] | Current State: 21:[34, 93, 65, 24], Operations: []
Exploring Operation: 65-34=31, Resulting Numbers: [93, 24, 31]
Generated Node #2: [93, 24, 31] from Operation: 65-34=31
Current State: 21:[93, 24, 31], Operations: ['65-34=31']
Exploring Operation: 93/31=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 93/31=3
Current State: 21:[24, 3], Operations: ['65-34=31', '93/31=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[34, 93, 65, 24], Operations: []
Exploring Operation: 93-65=28, Resulting Numbers: [34, 24, 28]
Generated Node #0,0: 21:[34, 24, 28] Operation: 93-65=28
Moving to Node #0,0
Current State: 21:[34, 24, 28], Operations: ['93-65=28']
Exploring Operation: 34-28=6, Resulting Numbers: [24, 6]
Generated Node #0,0,0: 21:[24, 6] Operation: 34-28=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[24, 6], Operations: ['93-65=28', '34-28=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,21 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 |
[
54,
66,
20,
57
] | 14 | [
"66-57=9",
"54/9=6",
"20-6=14"
] | Current State: 14:[54, 66, 20, 57], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [54, 20, 9]
Generated Node #2: [54, 20, 9] from Operation: 66-57=9
Current State: 14:[54, 20, 9], Operations: ['66-57=9']
Exploring Operation: 54/9=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 54/9=6
Current State: 14:[20, 6], Operations: ['66-57=9', '54/9=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[54, 66, 20, 57], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [54, 20, 9]
Generated Node #0,0: 14:[54, 20, 9] Operation: 66-57=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[54, 20, 9], Operations: ['66-57=9']
Exploring Operation: 54/9=6, Resulting Numbers: [20, 6]
Generated Node #0,0,0: 14:[20, 6] Operation: 54/9=6
Moving to Node #0,0,0
Current State: 14:[20, 6], Operations: ['66-57=9', '54/9=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[54, 66, 20, 57], Operations: []
Exploring Operation: 66-57=9, Resulting Numbers: [54, 20, 9]
Generated Node #0,0: 14:[54, 20, 9] Operation: 66-57=9
Moving to Node #0,0
Current State: 14:[54, 20, 9], Operations: ['66-57=9']
Exploring Operation: 54/9=6, Resulting Numbers: [20, 6]
Generated Node #0,0,0: 14:[20, 6] Operation: 54/9=6
Moving to Node #0,0,0
Current State: 14:[20, 6], Operations: ['66-57=9', '54/9=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
3,
69,
73,
95
] | 23 | [
"95-3=92",
"73-69=4",
"92/4=23"
] | Current State: 23:[3, 69, 73, 95], Operations: []
Exploring Operation: 95-3=92, Resulting Numbers: [69, 73, 92]
Generated Node #2: [69, 73, 92] from Operation: 95-3=92
Current State: 23:[69, 73, 92], Operations: ['95-3=92']
Exploring Operation: 73-69=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 73-69=4
Current State: 23:[92, 4], Operations: ['95-3=92', '73-69=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[3, 69, 73, 95], Operations: []
Exploring Operation: 95-73=22, Resulting Numbers: [3, 69, 22]
Generated Node #0,0: 23:[3, 69, 22] Operation: 95-73=22
Exploring Operation: 95-69=26, Resulting Numbers: [3, 73, 26]
Generated Node #0,1: 23:[3, 73, 26] Operation: 95-69=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[3, 69, 22], Operations: ['95-73=22']
Exploring Operation: 69-3=66, Resulting Numbers: [22, 66]
Generated Node #0,0,0: 23:[22, 66] Operation: 69-3=66
Exploring Operation: 69/3=23, Resulting Numbers: [22, 23]
Generated Node #0,0,1: 23:[22, 23] Operation: 69/3=23
Moving to Node #0,0,1
Current State: 23:[22, 23], Operations: ['95-73=22', '69/3=23']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[22, 66], Operations: ['95-73=22', '69-3=66']
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,23 unequal: No Solution
No 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: 23:[3, 73, 26], Operations: ['95-69=26']
Exploring Operation: 73-26=47, Resulting Numbers: [3, 47]
Generated Node #0,1,0: 23:[3, 47] Operation: 73-26=47
Exploring Operation: 73-3=70, Resulting Numbers: [26, 70]
Generated Node #0,1,1: 23:[26, 70] Operation: 73-3=70
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[3, 47], Operations: ['95-69=26', '73-26=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,23 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No 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: 23:[26, 70], Operations: ['95-69=26', '73-3=70']
Exploring Operation: 26+70=96, Resulting Numbers: [96]
96,23 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,23 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 |
[
71,
93,
5,
78
] | 81 | [
"71+93=164",
"5+78=83",
"164-83=81"
] | Current State: 81:[71, 93, 5, 78], Operations: []
Exploring Operation: 71+93=164, Resulting Numbers: [5, 78, 164]
Generated Node #2: [5, 78, 164] from Operation: 71+93=164
Current State: 81:[5, 78, 164], Operations: ['71+93=164']
Exploring Operation: 5+78=83, Resulting Numbers: [164, 83]
Generated Node #3: [164, 83] from Operation: 5+78=83
Current State: 81:[164, 83], Operations: ['71+93=164', '5+78=83']
Exploring Operation: 164-83=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[71, 93, 5, 78], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [5, 78, 22]
Generated Node #0,0: 81:[5, 78, 22] Operation: 93-71=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[5, 78, 22], Operations: ['93-71=22']
Exploring Operation: 5+22=27, Resulting Numbers: [78, 27]
Generated Node #0,0,0: 81:[78, 27] Operation: 5+22=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[78, 27], Operations: ['93-71=22', '5+22=27']
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,81 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_1 | sum_heuristic |
[
81,
40,
5,
8
] | 91 | [
"81+5=86",
"40/8=5",
"86+5=91"
] | Current State: 91:[81, 40, 5, 8], Operations: []
Exploring Operation: 81+5=86, Resulting Numbers: [40, 8, 86]
Generated Node #2: [40, 8, 86] from Operation: 81+5=86
Current State: 91:[40, 8, 86], Operations: ['81+5=86']
Exploring Operation: 40/8=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 40/8=5
Current State: 91:[86, 5], Operations: ['81+5=86', '40/8=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[81, 40, 5, 8], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [81, 8, 8]
Generated Node #0,0: 91:[81, 8, 8] Operation: 40/5=8
Exploring Operation: 40/8=5, Resulting Numbers: [81, 5, 5]
Generated Node #0,1: 91:[81, 5, 5] Operation: 40/8=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[81, 8, 8], Operations: ['40/5=8']
Exploring Operation: 81+8=89, Resulting Numbers: [8, 89]
Generated Node #0,0,0: 91:[8, 89] Operation: 81+8=89
Exploring Operation: 81+8=89, Resulting Numbers: [8, 89]
Generated Node #0,0,1: 91:[8, 89] Operation: 81+8=89
Moving to Node #0,0,0
Current State: 91:[8, 89], Operations: ['40/5=8', '81+8=89']
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[8, 89], Operations: ['40/5=8', '81+8=89']
Exploring Operation: 89-8=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[81, 5, 5], Operations: ['40/8=5']
Exploring Operation: 81+5=86, Resulting Numbers: [5, 86]
Generated Node #0,1,0: 91:[5, 86] Operation: 81+5=86
Exploring Operation: 81+5=86, Resulting Numbers: [5, 86]
Generated Node #0,1,1: 91:[5, 86] Operation: 81+5=86
Moving to Node #0,1,0
Current State: 91:[5, 86], Operations: ['40/8=5', '81+5=86']
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[81, 40, 5, 8], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [81, 5, 5]
Generated Node #0,1: 91:[81, 5, 5] Operation: 40/8=5
Moving to Node #0,1
Current State: 91:[81, 5, 5], Operations: ['40/8=5']
Exploring Operation: 81+5=86, Resulting Numbers: [5, 86]
Generated Node #0,1,0: 91:[5, 86] Operation: 81+5=86
Moving to Node #0,1,0
Current State: 91:[5, 86], Operations: ['40/8=5', '81+5=86']
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
31,
71,
6,
25
] | 48 | [
"31+71=102",
"6*25=150",
"150-102=48"
] | Current State: 48:[31, 71, 6, 25], Operations: []
Exploring Operation: 31+71=102, Resulting Numbers: [6, 25, 102]
Generated Node #2: [6, 25, 102] from Operation: 31+71=102
Current State: 48:[6, 25, 102], Operations: ['31+71=102']
Exploring Operation: 6*25=150, Resulting Numbers: [102, 150]
Generated Node #3: [102, 150] from Operation: 6*25=150
Current State: 48:[102, 150], Operations: ['31+71=102', '6*25=150']
Exploring Operation: 150-102=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[31, 71, 6, 25], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [71, 25, 25]
Generated Node #0,0: 48:[71, 25, 25] Operation: 31-6=25
Exploring Operation: 71-31=40, Resulting Numbers: [6, 25, 40]
Generated Node #0,1: 48:[6, 25, 40] Operation: 71-31=40
Exploring Operation: 31-25=6, Resulting Numbers: [71, 6, 6]
Generated Node #0,2: 48:[71, 6, 6] Operation: 31-25=6
Exploring Operation: 71-25=46, Resulting Numbers: [31, 6, 46]
Generated Node #0,3: 48:[31, 6, 46] Operation: 71-25=46
Moving to Node #0,1
Current State: 48:[6, 25, 40], Operations: ['71-31=40']
Exploring Operation: 6+40=46, Resulting Numbers: [25, 46]
Generated Node #0,1,0: 48:[25, 46] Operation: 6+40=46
Exploring Operation: 40-6=34, Resulting Numbers: [25, 34]
Generated Node #0,1,1: 48:[25, 34] Operation: 40-6=34
Exploring Operation: 40-25=15, Resulting Numbers: [6, 15]
Generated Node #0,1,2: 48:[6, 15] Operation: 40-25=15
Exploring Operation: 25-6=19, Resulting Numbers: [40, 19]
Generated Node #0,1,3: 48:[40, 19] Operation: 25-6=19
Moving to Node #0,3
Current State: 48:[31, 6, 46], Operations: ['71-25=46']
Exploring Operation: 31+6=37, Resulting Numbers: [46, 37]
Generated Node #0,3,0: 48:[46, 37] Operation: 31+6=37
Exploring Operation: 6+46=52, Resulting Numbers: [31, 52]
Generated Node #0,3,1: 48:[31, 52] Operation: 6+46=52
Exploring Operation: 31-6=25, Resulting Numbers: [46, 25]
Generated Node #0,3,2: 48:[46, 25] Operation: 31-6=25
Exploring Operation: 46-31=15, Resulting Numbers: [6, 15]
Generated Node #0,3,3: 48:[6, 15] Operation: 46-31=15
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[6, 15], Operations: ['71-25=46', '46-31=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,48 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[46, 25], Operations: ['71-25=46', '31-6=25']
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 46+25=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 46*25=1150, Resulting Numbers: [1150]
1150,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[31, 52], Operations: ['71-25=46', '6+46=52']
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,48 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[46, 37], Operations: ['71-25=46', '31+6=37']
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 46*37=1702, Resulting Numbers: [1702]
1702,48 unequal: No Solution
Exploring Operation: 46+37=83, Resulting Numbers: [83]
83,48 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: 48:[71, 6, 6], Operations: ['31-25=6']
Exploring Operation: 6/6=1, Resulting Numbers: [71, 1]
Generated Node #0,2,0: 48:[71, 1] Operation: 6/6=1
Exploring Operation: 71-6=65, Resulting Numbers: [6, 65]
Generated Node #0,2,1: 48:[6, 65] Operation: 71-6=65
Exploring Operation: 6+6=12, Resulting Numbers: [71, 12]
Generated Node #0,2,2: 48:[71, 12] Operation: 6+6=12
Exploring Operation: 71-6=65, Resulting Numbers: [6, 65]
Generated Node #0,2,3: 48:[6, 65] Operation: 71-6=65
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[6, 65], Operations: ['31-25=6', '71-6=65']
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[6, 65], Operations: ['31-25=6', '71-6=65']
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[71, 12], Operations: ['31-25=6', '6+6=12']
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,48 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[71, 1], Operations: ['31-25=6', '6/6=1']
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,48 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: 48:[71, 25, 25], Operations: ['31-6=25']
Exploring Operation: 71-25=46, Resulting Numbers: [25, 46]
Generated Node #0,0,0: 48:[25, 46] Operation: 71-25=46
Exploring Operation: 25+25=50, Resulting Numbers: [71, 50]
Generated Node #0,0,1: 48:[71, 50] Operation: 25+25=50
Exploring Operation: 25/25=1, Resulting Numbers: [71, 1]
Generated Node #0,0,2: 48:[71, 1] Operation: 25/25=1
Exploring Operation: 71-25=46, Resulting Numbers: [25, 46]
Generated Node #0,0,3: 48:[25, 46] Operation: 71-25=46
Moving to Node #0,1,2
Current State: 48:[6, 15], Operations: ['71-31=40', '40-25=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,48 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[25, 46], Operations: ['31-6=25', '71-25=46']
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,48 unequal: No Solution
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[25, 46], Operations: ['71-31=40', '6+40=46']
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,48 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[25, 46], Operations: ['31-6=25', '71-25=46']
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,48 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[25, 34], Operations: ['71-31=40', '40-6=34']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[40, 19], Operations: ['71-31=40', '25-6=19']
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,48 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[71, 1], Operations: ['31-6=25', '25/25=1']
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,48 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[71, 50], Operations: ['31-6=25', '25+25=50']
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 71+50=121, Resulting Numbers: [121]
121,48 unequal: No Solution
Exploring Operation: 71*50=3550, Resulting Numbers: [3550]
3550,48 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
28,
21,
20,
92
] | 25 | [
"20+92=112",
"112/28=4",
"21+4=25"
] | Current State: 25:[28, 21, 20, 92], Operations: []
Exploring Operation: 20+92=112, Resulting Numbers: [28, 21, 112]
Generated Node #2: [28, 21, 112] from Operation: 20+92=112
Current State: 25:[28, 21, 112], Operations: ['20+92=112']
Exploring Operation: 112/28=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 112/28=4
Current State: 25:[21, 4], Operations: ['20+92=112', '112/28=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[28, 21, 20, 92], Operations: []
Exploring Operation: 92-28=64, Resulting Numbers: [21, 20, 64]
Generated Node #0,0: 25:[21, 20, 64] Operation: 92-28=64
Exploring Operation: 92-21=71, Resulting Numbers: [28, 20, 71]
Generated Node #0,1: 25:[28, 20, 71] Operation: 92-21=71
Exploring Operation: 92-20=72, Resulting Numbers: [28, 21, 72]
Generated Node #0,2: 25:[28, 21, 72] Operation: 92-20=72
Moving to Node #0,0
Current State: 25:[21, 20, 64], Operations: ['92-28=64']
Exploring Operation: 21-20=1, Resulting Numbers: [64, 1]
Generated Node #0,0,0: 25:[64, 1] Operation: 21-20=1
Exploring Operation: 64-21=43, Resulting Numbers: [20, 43]
Generated Node #0,0,1: 25:[20, 43] Operation: 64-21=43
Exploring Operation: 64-20=44, Resulting Numbers: [21, 44]
Generated Node #0,0,2: 25:[21, 44] Operation: 64-20=44
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[20, 43], Operations: ['92-28=64', '64-21=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,25 unequal: No Solution
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[21, 44], Operations: ['92-28=64', '64-20=44']
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[64, 1], Operations: ['92-28=64', '21-20=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 25:[28, 20, 71], Operations: ['92-21=71']
Exploring Operation: 71-20=51, Resulting Numbers: [28, 51]
Generated Node #0,1,0: 25:[28, 51] Operation: 71-20=51
Exploring Operation: 71-28=43, Resulting Numbers: [20, 43]
Generated Node #0,1,1: 25:[20, 43] Operation: 71-28=43
Exploring Operation: 28-20=8, Resulting Numbers: [71, 8]
Generated Node #0,1,2: 25:[71, 8] Operation: 28-20=8
Moving to Node #0,2
Current State: 25:[28, 21, 72], Operations: ['92-20=72']
Exploring Operation: 72-28=44, Resulting Numbers: [21, 44]
Generated Node #0,2,0: 25:[21, 44] Operation: 72-28=44
Exploring Operation: 72-21=51, Resulting Numbers: [28, 51]
Generated Node #0,2,1: 25:[28, 51] Operation: 72-21=51
Exploring Operation: 28-21=7, Resulting Numbers: [72, 7]
Generated Node #0,2,2: 25:[72, 7] Operation: 28-21=7
Moving to Node #0,1,1
Current State: 25:[20, 43], Operations: ['92-21=71', '71-28=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,25 unequal: No Solution
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[21, 44], Operations: ['92-20=72', '72-28=44']
Exploring Operation: 21*44=924, Resulting Numbers: [924]
924,25 unequal: No Solution
Exploring Operation: 44-21=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 21+44=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[28, 51], Operations: ['92-20=72', '72-21=51']
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 28*51=1428, Resulting Numbers: [1428]
1428,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[28, 51], Operations: ['92-21=71', '71-20=51']
Exploring Operation: 28*51=1428, Resulting Numbers: [1428]
1428,25 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[72, 7], Operations: ['92-20=72', '28-21=7']
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,25 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[71, 8], Operations: ['92-21=71', '28-20=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,25 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,25 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,25 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
6,
24,
22,
32
] | 50 | [
"24/6=4",
"22+32=54",
"54-4=50"
] | Current State: 50:[6, 24, 22, 32], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [22, 32, 4]
Generated Node #2: [22, 32, 4] from Operation: 24/6=4
Current State: 50:[22, 32, 4], Operations: ['24/6=4']
Exploring Operation: 22+32=54, Resulting Numbers: [4, 54]
Generated Node #3: [4, 54] from Operation: 22+32=54
Current State: 50:[4, 54], Operations: ['24/6=4', '22+32=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[6, 24, 22, 32], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [6, 22, 8]
Generated Node #0,0: 50:[6, 22, 8] Operation: 32-24=8
Exploring Operation: 32-22=10, Resulting Numbers: [6, 24, 10]
Generated Node #0,1: 50:[6, 24, 10] Operation: 32-22=10
Exploring Operation: 32-6=26, Resulting Numbers: [24, 22, 26]
Generated Node #0,2: 50:[24, 22, 26] Operation: 32-6=26
Moving to Node #0,1
Current State: 50:[6, 24, 10], Operations: ['32-22=10']
Exploring Operation: 24/6=4, Resulting Numbers: [10, 4]
Generated Node #0,1,0: 50:[10, 4] Operation: 24/6=4
Exploring Operation: 10-6=4, Resulting Numbers: [24, 4]
Generated Node #0,1,1: 50:[24, 4] Operation: 10-6=4
Exploring Operation: 6+24=30, Resulting Numbers: [10, 30]
Generated Node #0,1,2: 50:[10, 30] Operation: 6+24=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[10, 4], Operations: ['32-22=10', '24/6=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,50 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 #0,1,1
Current State: 50:[24, 4], Operations: ['32-22=10', '10-6=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,50 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:[10, 30], Operations: ['32-22=10', '6+24=30']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,50 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:[24, 22, 26], Operations: ['32-6=26']
Exploring Operation: 24-22=2, Resulting Numbers: [26, 2]
Generated Node #0,2,0: 50:[26, 2] Operation: 24-22=2
Exploring Operation: 26-22=4, Resulting Numbers: [24, 4]
Generated Node #0,2,1: 50:[24, 4] Operation: 26-22=4
Exploring Operation: 24+26=50, Resulting Numbers: [22, 50]
Generated Node #0,2,2: 50:[22, 50] Operation: 24+26=50
Moving to Node #0,0
Current State: 50:[6, 22, 8], Operations: ['32-24=8']
Exploring Operation: 8-6=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 50:[22, 2] Operation: 8-6=2
Exploring Operation: 6*8=48, Resulting Numbers: [22, 48]
Generated Node #0,0,1: 50:[22, 48] Operation: 6*8=48
Exploring Operation: 6+22=28, Resulting Numbers: [8, 28]
Generated Node #0,0,2: 50:[8, 28] Operation: 6+22=28
Moving to Node #0,2,0
Current State: 50:[26, 2], Operations: ['32-6=26', '24-22=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,50 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[24, 4], Operations: ['32-6=26', '26-22=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[22, 50], Operations: ['32-6=26', '24+26=50']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,50 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[22, 2], Operations: ['32-24=8', '8-6=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[8, 28], Operations: ['32-24=8', '6+22=28']
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,50 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[22, 48], Operations: ['32-24=8', '6*8=48']
Exploring Operation: 22+48=70, Resulting Numbers: [70]
70,50 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 22*48=1056, Resulting Numbers: [1056]
1056,50 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
80,
2,
88,
8
] | 18 | [
"80-2=78",
"88+8=96",
"96-78=18"
] | Current State: 18:[80, 2, 88, 8], Operations: []
Exploring Operation: 80-2=78, Resulting Numbers: [88, 8, 78]
Generated Node #2: [88, 8, 78] from Operation: 80-2=78
Current State: 18:[88, 8, 78], Operations: ['80-2=78']
Exploring Operation: 88+8=96, Resulting Numbers: [78, 96]
Generated Node #3: [78, 96] from Operation: 88+8=96
Current State: 18:[78, 96], Operations: ['80-2=78', '88+8=96']
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[80, 2, 88, 8], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [2, 8, 8]
Generated Node #0,0: 18:[2, 8, 8] Operation: 88-80=8
Exploring Operation: 80/8=10, Resulting Numbers: [2, 88, 10]
Generated Node #0,1: 18:[2, 88, 10] Operation: 80/8=10
Exploring Operation: 88/8=11, Resulting Numbers: [80, 2, 11]
Generated Node #0,2: 18:[80, 2, 11] Operation: 88/8=11
Moving to Node #0,0
Current State: 18:[2, 8, 8], Operations: ['88-80=8']
Exploring Operation: 8/8=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 18:[2, 1] Operation: 8/8=1
Exploring Operation: 8-2=6, Resulting Numbers: [8, 6]
Generated Node #0,0,1: 18:[8, 6] Operation: 8-2=6
Exploring Operation: 8-2=6, Resulting Numbers: [8, 6]
Generated Node #0,0,2: 18:[8, 6] Operation: 8-2=6
Moving to Node #0,2
Current State: 18:[80, 2, 11], Operations: ['88/8=11']
Exploring Operation: 80/2=40, Resulting Numbers: [11, 40]
Generated Node #0,2,0: 18:[11, 40] Operation: 80/2=40
Exploring Operation: 80-11=69, Resulting Numbers: [2, 69]
Generated Node #0,2,1: 18:[2, 69] Operation: 80-11=69
Exploring Operation: 80-2=78, Resulting Numbers: [11, 78]
Generated Node #0,2,2: 18:[11, 78] Operation: 80-2=78
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[11, 40], Operations: ['88/8=11', '80/2=40']
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,18 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[2, 69], Operations: ['88/8=11', '80-11=69']
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,18 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,18 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[11, 78], Operations: ['88/8=11', '80-2=78']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,18 unequal: No Solution
Exploring Operation: 11*78=858, Resulting Numbers: [858]
858,18 unequal: No Solution
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,18 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: 18:[2, 88, 10], Operations: ['80/8=10']
Exploring Operation: 88-2=86, Resulting Numbers: [10, 86]
Generated Node #0,1,0: 18:[10, 86] Operation: 88-2=86
Exploring Operation: 88-10=78, Resulting Numbers: [2, 78]
Generated Node #0,1,1: 18:[2, 78] Operation: 88-10=78
Exploring Operation: 88/2=44, Resulting Numbers: [10, 44]
Generated Node #0,1,2: 18:[10, 44] Operation: 88/2=44
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[10, 44], Operations: ['80/8=10', '88/2=44']
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,18 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,18 unequal: No Solution
Exploring Operation: 10*44=440, Resulting Numbers: [440]
440,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[2, 78], Operations: ['80/8=10', '88-10=78']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[10, 86], Operations: ['80/8=10', '88-2=86']
Exploring Operation: 10+86=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 86-10=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 10*86=860, Resulting Numbers: [860]
860,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 18:[2, 1], Operations: ['88-80=8', '8/8=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[8, 6], Operations: ['88-80=8', '8-2=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[8, 6], Operations: ['88-80=8', '8-2=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
16,
36,
51,
2
] | 14 | [
"51-36=15",
"2*15=30",
"30-16=14"
] | Current State: 14:[16, 36, 51, 2], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [16, 2, 15]
Generated Node #2: [16, 2, 15] from Operation: 51-36=15
Current State: 14:[16, 2, 15], Operations: ['51-36=15']
Exploring Operation: 2*15=30, Resulting Numbers: [16, 30]
Generated Node #3: [16, 30] from Operation: 2*15=30
Current State: 14:[16, 30], Operations: ['51-36=15', '2*15=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[16, 36, 51, 2], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [16, 2, 15]
Generated Node #0,0: 14:[16, 2, 15] Operation: 51-36=15
Exploring Operation: 36-16=20, Resulting Numbers: [51, 2, 20]
Generated Node #0,1: 14:[51, 2, 20] Operation: 36-16=20
Exploring Operation: 51-16=35, Resulting Numbers: [36, 2, 35]
Generated Node #0,2: 14:[36, 2, 35] Operation: 51-16=35
Exploring Operation: 16-2=14, Resulting Numbers: [36, 51, 14]
Generated Node #0,3: 14:[36, 51, 14] Operation: 16-2=14
Exploring Operation: 36/2=18, Resulting Numbers: [16, 51, 18]
Generated Node #0,4: 14:[16, 51, 18] Operation: 36/2=18
Moving to Node #0,0
Current State: 14:[16, 2, 15], Operations: ['51-36=15']
Exploring Operation: 16-2=14, Resulting Numbers: [15, 14]
Generated Node #0,0,0: 14:[15, 14] Operation: 16-2=14
Exploring Operation: 15-2=13, Resulting Numbers: [16, 13]
Generated Node #0,0,1: 14:[16, 13] Operation: 15-2=13
Exploring Operation: 16+2=18, Resulting Numbers: [15, 18]
Generated Node #0,0,2: 14:[15, 18] Operation: 16+2=18
Exploring Operation: 16-15=1, Resulting Numbers: [2, 1]
Generated Node #0,0,3: 14:[2, 1] Operation: 16-15=1
Exploring Operation: 16/2=8, Resulting Numbers: [15, 8]
Generated Node #0,0,4: 14:[15, 8] Operation: 16/2=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[15, 14], Operations: ['51-36=15', '16-2=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,14 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No 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: 14:[2, 1], Operations: ['51-36=15', '16-15=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,14 unequal: No Solution
No 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: 14:[15, 8], Operations: ['51-36=15', '16/2=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,14 unequal: No Solution
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,14 unequal: No Solution
No 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: 14:[16, 13], Operations: ['51-36=15', '15-2=13']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 16*13=208, Resulting Numbers: [208]
208,14 unequal: No Solution
No 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: 14:[15, 18], Operations: ['51-36=15', '16+2=18']
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,14 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,14 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: 14:[36, 2, 35], Operations: ['51-16=35']
Exploring Operation: 35-2=33, Resulting Numbers: [36, 33]
Generated Node #0,2,0: 14:[36, 33] Operation: 35-2=33
Exploring Operation: 36-2=34, Resulting Numbers: [35, 34]
Generated Node #0,2,1: 14:[35, 34] Operation: 36-2=34
Exploring Operation: 36/2=18, Resulting Numbers: [35, 18]
Generated Node #0,2,2: 14:[35, 18] Operation: 36/2=18
Exploring Operation: 36+2=38, Resulting Numbers: [35, 38]
Generated Node #0,2,3: 14:[35, 38] Operation: 36+2=38
Exploring Operation: 36-35=1, Resulting Numbers: [2, 1]
Generated Node #0,2,4: 14:[2, 1] Operation: 36-35=1
Moving to Node #0,1
Current State: 14:[51, 2, 20], Operations: ['36-16=20']
Exploring Operation: 20-2=18, Resulting Numbers: [51, 18]
Generated Node #0,1,0: 14:[51, 18] Operation: 20-2=18
Exploring Operation: 51-20=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 14:[2, 31] Operation: 51-20=31
Exploring Operation: 51+2=53, Resulting Numbers: [20, 53]
Generated Node #0,1,2: 14:[20, 53] Operation: 51+2=53
Exploring Operation: 51-2=49, Resulting Numbers: [20, 49]
Generated Node #0,1,3: 14:[20, 49] Operation: 51-2=49
Exploring Operation: 20/2=10, Resulting Numbers: [51, 10]
Generated Node #0,1,4: 14:[51, 10] Operation: 20/2=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[2, 31], Operations: ['36-16=20', '51-20=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,14 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,14 unequal: No Solution
No 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: 14:[51, 10], Operations: ['36-16=20', '20/2=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,14 unequal: No Solution
Exploring Operation: 51*10=510, Resulting Numbers: [510]
510,14 unequal: No Solution
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,14 unequal: No Solution
No 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: 14:[51, 18], Operations: ['36-16=20', '20-2=18']
Exploring Operation: 51*18=918, Resulting Numbers: [918]
918,14 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,14 unequal: No Solution
No 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: 14:[20, 49], Operations: ['36-16=20', '51-2=49']
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 20*49=980, Resulting Numbers: [980]
980,14 unequal: No Solution
No 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: 14:[20, 53], Operations: ['36-16=20', '51+2=53']
Exploring Operation: 20*53=1060, Resulting Numbers: [1060]
1060,14 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,14 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: 14:[16, 51, 18], Operations: ['36/2=18']
Exploring Operation: 51-18=33, Resulting Numbers: [16, 33]
Generated Node #0,4,0: 14:[16, 33] Operation: 51-18=33
Exploring Operation: 16+18=34, Resulting Numbers: [51, 34]
Generated Node #0,4,1: 14:[51, 34] Operation: 16+18=34
Exploring Operation: 51-16=35, Resulting Numbers: [18, 35]
Generated Node #0,4,2: 14:[18, 35] Operation: 51-16=35
Exploring Operation: 18-16=2, Resulting Numbers: [51, 2]
Generated Node #0,4,3: 14:[51, 2] Operation: 18-16=2
Exploring Operation: 16+51=67, Resulting Numbers: [18, 67]
Generated Node #0,4,4: 14:[18, 67] Operation: 16+51=67
Moving to Node #0,3
Current State: 14:[36, 51, 14], Operations: ['16-2=14']
Exploring Operation: 36-14=22, Resulting Numbers: [51, 22]
Generated Node #0,3,0: 14:[51, 22] Operation: 36-14=22
Exploring Operation: 36+51=87, Resulting Numbers: [14, 87]
Generated Node #0,3,1: 14:[14, 87] Operation: 36+51=87
Exploring Operation: 36+14=50, Resulting Numbers: [51, 50]
Generated Node #0,3,2: 14:[51, 50] Operation: 36+14=50
Exploring Operation: 51-36=15, Resulting Numbers: [14, 15]
Generated Node #0,3,3: 14:[14, 15] Operation: 51-36=15
Exploring Operation: 51-14=37, Resulting Numbers: [36, 37]
Generated Node #0,3,4: 14:[36, 37] Operation: 51-14=37
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[14, 15], Operations: ['16-2=14', '51-36=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,14 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No 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: 14:[51, 22], Operations: ['16-2=14', '36-14=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,14 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,14 unequal: No Solution
No 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: 14:[36, 37], Operations: ['16-2=14', '51-14=37']
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,14 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No 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: 14:[14, 87], Operations: ['16-2=14', '36+51=87']
Exploring Operation: 14*87=1218, Resulting Numbers: [1218]
1218,14 unequal: No Solution
Exploring Operation: 14+87=101, Resulting Numbers: [101]
101,14 unequal: No Solution
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,14 unequal: No Solution
No 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: 14:[51, 50], Operations: ['16-2=14', '36+14=50']
Exploring Operation: 51*50=2550, Resulting Numbers: [2550]
2550,14 unequal: No Solution
Exploring Operation: 51+50=101, Resulting Numbers: [101]
101,14 unequal: No Solution
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,14 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: 14:[2, 1], Operations: ['51-16=35', '36-35=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Moving to Node #0,4,0
Current State: 14:[16, 33], Operations: ['36/2=18', '51-18=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,14 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Moving to Node #0,4,2
Current State: 14:[18, 35], Operations: ['36/2=18', '51-16=35']
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,14 unequal: No Solution
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Moving to Node #0,2,2
Current State: 14:[35, 18], Operations: ['51-16=35', '36/2=18']
Exploring Operation: 35*18=630, Resulting Numbers: [630]
630,14 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 35+18=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Moving to Node #0,4,3
Current State: 14:[51, 2], Operations: ['36/2=18', '18-16=2']
Exploring Operation: 51*2=102, Resulting Numbers: [102]
102,14 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[36, 33], Operations: ['51-16=35', '35-2=33']
Exploring Operation: 36*33=1188, Resulting Numbers: [1188]
1188,14 unequal: No Solution
Exploring Operation: 36+33=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 36-33=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[35, 34], Operations: ['51-16=35', '36-2=34']
Exploring Operation: 35*34=1190, Resulting Numbers: [1190]
1190,14 unequal: No Solution
Exploring Operation: 35+34=69, Resulting Numbers: [69]
69,14 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Moving to Node #0,2,3
Current State: 14:[35, 38], Operations: ['51-16=35', '36+2=38']
Exploring Operation: 35+38=73, Resulting Numbers: [73]
73,14 unequal: No Solution
Exploring Operation: 35*38=1330, Resulting Numbers: [1330]
1330,14 unequal: No Solution
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Moving to Node #0,4,4
Current State: 14:[18, 67], Operations: ['36/2=18', '16+51=67']
Exploring Operation: 18+67=85, Resulting Numbers: [85]
85,14 unequal: No Solution
Exploring Operation: 18*67=1206, Resulting Numbers: [1206]
1206,14 unequal: No Solution
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Moving to Node #0,4,1
Current State: 14:[51, 34], Operations: ['36/2=18', '16+18=34']
Exploring Operation: 51*34=1734, Resulting Numbers: [1734]
1734,14 unequal: No Solution
Exploring Operation: 51+34=85, Resulting Numbers: [85]
85,14 unequal: No Solution
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,14 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
93,
83,
55,
25
] | 22 | [
"93-83=10",
"55*10=550",
"550/25=22"
] | Current State: 22:[93, 83, 55, 25], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [55, 25, 10]
Generated Node #2: [55, 25, 10] from Operation: 93-83=10
Current State: 22:[55, 25, 10], Operations: ['93-83=10']
Exploring Operation: 55*10=550, Resulting Numbers: [25, 550]
Generated Node #3: [25, 550] from Operation: 55*10=550
Current State: 22:[25, 550], Operations: ['93-83=10', '55*10=550']
Exploring Operation: 550/25=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[93, 83, 55, 25], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [83, 25, 38]
Generated Node #0,0: 22:[83, 25, 38] Operation: 93-55=38
Exploring Operation: 93-83=10, Resulting Numbers: [55, 25, 10]
Generated Node #0,1: 22:[55, 25, 10] Operation: 93-83=10
Exploring Operation: 83-55=28, Resulting Numbers: [93, 25, 28]
Generated Node #0,2: 22:[93, 25, 28] Operation: 83-55=28
Moving to Node #0,1
Current State: 22:[55, 25, 10], Operations: ['93-83=10']
Exploring Operation: 25-10=15, Resulting Numbers: [55, 15]
Generated Node #0,1,0: 22:[55, 15] Operation: 25-10=15
Exploring Operation: 55-10=45, Resulting Numbers: [25, 45]
Generated Node #0,1,1: 22:[25, 45] Operation: 55-10=45
Exploring Operation: 55-25=30, Resulting Numbers: [10, 30]
Generated Node #0,1,2: 22:[10, 30] Operation: 55-25=30
Moving to Node #0,0
Current State: 22:[83, 25, 38], Operations: ['93-55=38']
Exploring Operation: 83-25=58, Resulting Numbers: [38, 58]
Generated Node #0,0,0: 22:[38, 58] Operation: 83-25=58
Exploring Operation: 83-38=45, Resulting Numbers: [25, 45]
Generated Node #0,0,1: 22:[25, 45] Operation: 83-38=45
Exploring Operation: 38-25=13, Resulting Numbers: [83, 13]
Generated Node #0,0,2: 22:[83, 13] Operation: 38-25=13
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[25, 45], Operations: ['93-55=38', '83-38=45']
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,22 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[38, 58], Operations: ['93-55=38', '83-25=58']
Exploring Operation: 38*58=2204, Resulting Numbers: [2204]
2204,22 unequal: No Solution
Exploring Operation: 38+58=96, Resulting Numbers: [96]
96,22 unequal: No Solution
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 22:[83, 13], Operations: ['93-55=38', '38-25=13']
Exploring Operation: 83*13=1079, Resulting Numbers: [1079]
1079,22 unequal: No Solution
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,22 unequal: No Solution
Exploring Operation: 83+13=96, Resulting Numbers: [96]
96,22 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: 22:[93, 25, 28], Operations: ['83-55=28']
Exploring Operation: 93-25=68, Resulting Numbers: [28, 68]
Generated Node #0,2,0: 22:[28, 68] Operation: 93-25=68
Exploring Operation: 28-25=3, Resulting Numbers: [93, 3]
Generated Node #0,2,1: 22:[93, 3] Operation: 28-25=3
Exploring Operation: 93-28=65, Resulting Numbers: [25, 65]
Generated Node #0,2,2: 22:[25, 65] Operation: 93-28=65
Moving to Node #0,1,2
Current State: 22:[10, 30], Operations: ['93-83=10', '55-25=30']
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[25, 45], Operations: ['93-83=10', '55-10=45']
Exploring Operation: 25*45=1125, Resulting Numbers: [1125]
1125,22 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 25+45=70, Resulting Numbers: [70]
70,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[55, 15], Operations: ['93-83=10', '25-10=15']
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,22 unequal: No Solution
Exploring Operation: 55*15=825, Resulting Numbers: [825]
825,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[25, 65], Operations: ['83-55=28', '93-28=65']
Exploring Operation: 25+65=90, Resulting Numbers: [90]
90,22 unequal: No Solution
Exploring Operation: 25*65=1625, Resulting Numbers: [1625]
1625,22 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[28, 68], Operations: ['83-55=28', '93-25=68']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,22 unequal: No Solution
Exploring Operation: 28*68=1904, Resulting Numbers: [1904]
1904,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[93, 3], Operations: ['83-55=28', '28-25=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,22 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,22 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
39,
18,
72,
79
] | 10 | [
"79-39=40",
"72/18=4",
"40/4=10"
] | Current State: 10:[39, 18, 72, 79], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [18, 72, 40]
Generated Node #2: [18, 72, 40] from Operation: 79-39=40
Current State: 10:[18, 72, 40], Operations: ['79-39=40']
Exploring Operation: 72/18=4, Resulting Numbers: [40, 4]
Generated Node #3: [40, 4] from Operation: 72/18=4
Current State: 10:[40, 4], Operations: ['79-39=40', '72/18=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[39, 18, 72, 79], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [39, 79, 4]
Generated Node #0,0: 10:[39, 79, 4] Operation: 72/18=4
Exploring Operation: 79-72=7, Resulting Numbers: [39, 18, 7]
Generated Node #0,1: 10:[39, 18, 7] Operation: 79-72=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[39, 18, 7], Operations: ['79-72=7']
Exploring Operation: 39-7=32, Resulting Numbers: [18, 32]
Generated Node #0,1,0: 10:[18, 32] Operation: 39-7=32
Exploring Operation: 39-18=21, Resulting Numbers: [7, 21]
Generated Node #0,1,1: 10:[7, 21] Operation: 39-18=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[7, 21], Operations: ['79-72=7', '39-18=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 10:[18, 32], Operations: ['79-72=7', '39-7=32']
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,10 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[39, 79, 4], Operations: ['72/18=4']
Exploring Operation: 39-4=35, Resulting Numbers: [79, 35]
Generated Node #0,0,0: 10:[79, 35] Operation: 39-4=35
Exploring Operation: 79-39=40, Resulting Numbers: [4, 40]
Generated Node #0,0,1: 10:[4, 40] Operation: 79-39=40
Moving to Node #0,0,1
Current State: 10:[4, 40], Operations: ['72/18=4', '79-39=40']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[39, 18, 72, 79], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [39, 79, 4]
Generated Node #0,0: 10:[39, 79, 4] Operation: 72/18=4
Moving to Node #0,0
Current State: 10:[39, 79, 4], Operations: ['72/18=4']
Exploring Operation: 79-39=40, Resulting Numbers: [4, 40]
Generated Node #0,0,1: 10:[4, 40] Operation: 79-39=40
Moving to Node #0,0,1
Current State: 10:[4, 40], Operations: ['72/18=4', '79-39=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
12,
22,
4,
58
] | 77 | [
"12/4=3",
"22+58=80",
"80-3=77"
] | Current State: 77:[12, 22, 4, 58], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [22, 58, 3]
Generated Node #2: [22, 58, 3] from Operation: 12/4=3
Current State: 77:[22, 58, 3], Operations: ['12/4=3']
Exploring Operation: 22+58=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 22+58=80
Current State: 77:[3, 80], Operations: ['12/4=3', '22+58=80']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[12, 22, 4, 58], Operations: []
Exploring Operation: 22+58=80, Resulting Numbers: [12, 4, 80]
Generated Node #0,0: 77:[12, 4, 80] Operation: 22+58=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[12, 4, 80], Operations: ['22+58=80']
Exploring Operation: 80-4=76, Resulting Numbers: [12, 76]
Generated Node #0,0,0: 77:[12, 76] Operation: 80-4=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[12, 76], Operations: ['22+58=80', '80-4=76']
Exploring Operation: 12+76=88, Resulting Numbers: [88]
88,77 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 |
[
1,
79,
84,
29
] | 34 | [
"1*79=79",
"84+29=113",
"113-79=34"
] | Current State: 34:[1, 79, 84, 29], Operations: []
Exploring Operation: 1*79=79, Resulting Numbers: [84, 29, 79]
Generated Node #2: [84, 29, 79] from Operation: 1*79=79
Current State: 34:[84, 29, 79], Operations: ['1*79=79']
Exploring Operation: 84+29=113, Resulting Numbers: [79, 113]
Generated Node #3: [79, 113] from Operation: 84+29=113
Current State: 34:[79, 113], Operations: ['1*79=79', '84+29=113']
Exploring Operation: 113-79=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[1, 79, 84, 29], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [1, 84, 50]
Generated Node #0,0: 34:[1, 84, 50] Operation: 79-29=50
Exploring Operation: 84-29=55, Resulting Numbers: [1, 79, 55]
Generated Node #0,1: 34:[1, 79, 55] Operation: 84-29=55
Exploring Operation: 84-79=5, Resulting Numbers: [1, 29, 5]
Generated Node #0,2: 34:[1, 29, 5] Operation: 84-79=5
Exploring Operation: 79-1=78, Resulting Numbers: [84, 29, 78]
Generated Node #0,3: 34:[84, 29, 78] Operation: 79-1=78
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[1, 29, 5], Operations: ['84-79=5']
Exploring Operation: 5-1=4, Resulting Numbers: [29, 4]
Generated Node #0,2,0: 34:[29, 4] Operation: 5-1=4
Exploring Operation: 1+29=30, Resulting Numbers: [5, 30]
Generated Node #0,2,1: 34:[5, 30] Operation: 1+29=30
Exploring Operation: 1*29=29, Resulting Numbers: [5, 29]
Generated Node #0,2,2: 34:[5, 29] Operation: 1*29=29
Exploring Operation: 29+5=34, Resulting Numbers: [1, 34]
Generated Node #0,2,3: 34:[1, 34] Operation: 29+5=34
Moving to Node #0,2,3
Current State: 34:[1, 34], Operations: ['84-79=5', '29+5=34']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,34 unequal: No Solution
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[1, 79, 84, 29], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [1, 29, 5]
Generated Node #0,2: 34:[1, 29, 5] Operation: 84-79=5
Moving to Node #0,2
Current State: 34:[1, 29, 5], Operations: ['84-79=5']
Exploring Operation: 29+5=34, Resulting Numbers: [1, 34]
Generated Node #0,2,3: 34:[1, 34] Operation: 29+5=34
Moving to Node #0,2,3
Current State: 34:[1, 34], Operations: ['84-79=5', '29+5=34']
Exploring Operation: 1*34=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
34,
26,
8,
52
] | 84 | [
"34+8=42",
"52/26=2",
"42*2=84"
] | Current State: 84:[34, 26, 8, 52], Operations: []
Exploring Operation: 34+8=42, Resulting Numbers: [26, 52, 42]
Generated Node #2: [26, 52, 42] from Operation: 34+8=42
Current State: 84:[26, 52, 42], Operations: ['34+8=42']
Exploring Operation: 52/26=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 52/26=2
Current State: 84:[42, 2], Operations: ['34+8=42', '52/26=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[34, 26, 8, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [34, 8, 2]
Generated Node #0,0: 84:[34, 8, 2] Operation: 52/26=2
Exploring Operation: 52-34=18, Resulting Numbers: [26, 8, 18]
Generated Node #0,1: 84:[26, 8, 18] Operation: 52-34=18
Exploring Operation: 34+52=86, Resulting Numbers: [26, 8, 86]
Generated Node #0,2: 84:[26, 8, 86] Operation: 34+52=86
Exploring Operation: 52-26=26, Resulting Numbers: [34, 8, 26]
Generated Node #0,3: 84:[34, 8, 26] Operation: 52-26=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[26, 8, 86], Operations: ['34+52=86']
Exploring Operation: 26+8=34, Resulting Numbers: [86, 34]
Generated Node #0,2,0: 84:[86, 34] Operation: 26+8=34
Exploring Operation: 8+86=94, Resulting Numbers: [26, 94]
Generated Node #0,2,1: 84:[26, 94] Operation: 8+86=94
Exploring Operation: 86-8=78, Resulting Numbers: [26, 78]
Generated Node #0,2,2: 84:[26, 78] Operation: 86-8=78
Exploring Operation: 26-8=18, Resulting Numbers: [86, 18]
Generated Node #0,2,3: 84:[86, 18] Operation: 26-8=18
Moving to Node #0,2,3
Current State: 84:[86, 18], Operations: ['34+52=86', '26-8=18']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,84 unequal: No Solution
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[26, 78], Operations: ['34+52=86', '86-8=78']
Exploring Operation: 26*78=2028, Resulting Numbers: [2028]
2028,84 unequal: No Solution
Exploring Operation: 78/26=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 26+78=104, Resulting Numbers: [104]
104,84 unequal: No Solution
Exploring Operation: 78-26=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[86, 34], Operations: ['34+52=86', '26+8=34']
Exploring Operation: 86*34=2924, Resulting Numbers: [2924]
2924,84 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 86+34=120, Resulting Numbers: [120]
120,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[26, 94], Operations: ['34+52=86', '8+86=94']
Exploring Operation: 26+94=120, Resulting Numbers: [120]
120,84 unequal: No Solution
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 26*94=2444, Resulting Numbers: [2444]
2444,84 unequal: No Solution
No 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: 84:[26, 8, 18], Operations: ['52-34=18']
Exploring Operation: 18-8=10, Resulting Numbers: [26, 10]
Generated Node #0,1,0: 84:[26, 10] Operation: 18-8=10
Exploring Operation: 26-18=8, Resulting Numbers: [8, 8]
Generated Node #0,1,1: 84:[8, 8] Operation: 26-18=8
Exploring Operation: 8+18=26, Resulting Numbers: [26, 26]
Generated Node #0,1,2: 84:[26, 26] Operation: 8+18=26
Exploring Operation: 26+18=44, Resulting Numbers: [8, 44]
Generated Node #0,1,3: 84:[8, 44] Operation: 26+18=44
Moving to Node #0,1,1
Current State: 84:[8, 8], Operations: ['52-34=18', '26-18=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[8, 44], Operations: ['52-34=18', '26+18=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,84 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[26, 26], Operations: ['52-34=18', '8+18=26']
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,84 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[26, 10], Operations: ['52-34=18', '18-8=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,84 unequal: No Solution
No 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: 84:[34, 8, 2], Operations: ['52/26=2']
Exploring Operation: 34/2=17, Resulting Numbers: [8, 17]
Generated Node #0,0,0: 84:[8, 17] Operation: 34/2=17
Exploring Operation: 34+8=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 84:[2, 42] Operation: 34+8=42
Exploring Operation: 34-8=26, Resulting Numbers: [2, 26]
Generated Node #0,0,2: 84:[2, 26] Operation: 34-8=26
Exploring Operation: 34-2=32, Resulting Numbers: [8, 32]
Generated Node #0,0,3: 84:[8, 32] Operation: 34-2=32
Moving to Node #0,0,1
Current State: 84:[2, 42], Operations: ['52/26=2', '34+8=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[34, 26, 8, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [34, 8, 2]
Generated Node #0,0: 84:[34, 8, 2] Operation: 52/26=2
Moving to Node #0,0
Current State: 84:[34, 8, 2], Operations: ['52/26=2']
Exploring Operation: 34+8=42, Resulting Numbers: [2, 42]
Generated Node #0,0,1: 84:[2, 42] Operation: 34+8=42
Moving to Node #0,0,1
Current State: 84:[2, 42], Operations: ['52/26=2', '34+8=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_4 | mult_heuristic |
[
76,
96,
84,
64
] | 24 | [
"76+96=172",
"84+64=148",
"172-148=24"
] | Current State: 24:[76, 96, 84, 64], Operations: []
Exploring Operation: 76+96=172, Resulting Numbers: [84, 64, 172]
Generated Node #2: [84, 64, 172] from Operation: 76+96=172
Current State: 24:[84, 64, 172], Operations: ['76+96=172']
Exploring Operation: 84+64=148, Resulting Numbers: [172, 148]
Generated Node #3: [172, 148] from Operation: 84+64=148
Current State: 24:[172, 148], Operations: ['76+96=172', '84+64=148']
Exploring Operation: 172-148=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[76, 96, 84, 64], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [84, 64, 20]
Generated Node #0,0: 24:[84, 64, 20] Operation: 96-76=20
Exploring Operation: 84-76=8, Resulting Numbers: [96, 64, 8]
Generated Node #0,1: 24:[96, 64, 8] Operation: 84-76=8
Exploring Operation: 96-84=12, Resulting Numbers: [76, 64, 12]
Generated Node #0,2: 24:[76, 64, 12] Operation: 96-84=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[76, 64, 12], Operations: ['96-84=12']
Exploring Operation: 76-12=64, Resulting Numbers: [64, 64]
Generated Node #0,2,0: 24:[64, 64] Operation: 76-12=64
Exploring Operation: 76-64=12, Resulting Numbers: [12, 12]
Generated Node #0,2,1: 24:[12, 12] Operation: 76-64=12
Exploring Operation: 64-12=52, Resulting Numbers: [76, 52]
Generated Node #0,2,2: 24:[76, 52] Operation: 64-12=52
Moving to Node #0,2,1
Current State: 24:[12, 12], Operations: ['96-84=12', '76-64=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[76, 96, 84, 64], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [76, 64, 12]
Generated Node #0,2: 24:[76, 64, 12] Operation: 96-84=12
Moving to Node #0,2
Current State: 24:[76, 64, 12], Operations: ['96-84=12']
Exploring Operation: 76-64=12, Resulting Numbers: [12, 12]
Generated Node #0,2,1: 24:[12, 12] Operation: 76-64=12
Moving to Node #0,2,1
Current State: 24:[12, 12], Operations: ['96-84=12', '76-64=12']
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
47,
77,
56,
82
] | 14 | [
"47+77=124",
"56+82=138",
"138-124=14"
] | Current State: 14:[47, 77, 56, 82], Operations: []
Exploring Operation: 47+77=124, Resulting Numbers: [56, 82, 124]
Generated Node #2: [56, 82, 124] from Operation: 47+77=124
Current State: 14:[56, 82, 124], Operations: ['47+77=124']
Exploring Operation: 56+82=138, Resulting Numbers: [124, 138]
Generated Node #3: [124, 138] from Operation: 56+82=138
Current State: 14:[124, 138], Operations: ['47+77=124', '56+82=138']
Exploring Operation: 138-124=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[47, 77, 56, 82], Operations: []
Exploring Operation: 77-56=21, Resulting Numbers: [47, 82, 21]
Generated Node #0,0: 14:[47, 82, 21] Operation: 77-56=21
Exploring Operation: 82-77=5, Resulting Numbers: [47, 56, 5]
Generated Node #0,1: 14:[47, 56, 5] Operation: 82-77=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[47, 56, 5], Operations: ['82-77=5']
Exploring Operation: 56-47=9, Resulting Numbers: [5, 9]
Generated Node #0,1,0: 14:[5, 9] Operation: 56-47=9
Exploring Operation: 47-5=42, Resulting Numbers: [56, 42]
Generated Node #0,1,1: 14:[56, 42] Operation: 47-5=42
Moving to Node #0,1,0
Current State: 14:[5, 9], Operations: ['82-77=5', '56-47=9']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[47, 77, 56, 82], Operations: []
Exploring Operation: 82-77=5, Resulting Numbers: [47, 56, 5]
Generated Node #0,1: 14:[47, 56, 5] Operation: 82-77=5
Moving to Node #0,1
Current State: 14:[47, 56, 5], Operations: ['82-77=5']
Exploring Operation: 56-47=9, Resulting Numbers: [5, 9]
Generated Node #0,1,0: 14:[5, 9] Operation: 56-47=9
Moving to Node #0,1,0
Current State: 14:[5, 9], Operations: ['82-77=5', '56-47=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
9,
22,
75,
33
] | 36 | [
"75-9=66",
"66/22=3",
"33+3=36"
] | Current State: 36:[9, 22, 75, 33], Operations: []
Exploring Operation: 75-9=66, Resulting Numbers: [22, 33, 66]
Generated Node #2: [22, 33, 66] from Operation: 75-9=66
Current State: 36:[22, 33, 66], Operations: ['75-9=66']
Exploring Operation: 66/22=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 66/22=3
Current State: 36:[33, 3], Operations: ['75-9=66', '66/22=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[9, 22, 75, 33], Operations: []
Exploring Operation: 75-33=42, Resulting Numbers: [9, 22, 42]
Generated Node #0,0: 36:[9, 22, 42] Operation: 75-33=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[9, 22, 42], Operations: ['75-33=42']
Exploring Operation: 42-22=20, Resulting Numbers: [9, 20]
Generated Node #0,0,0: 36:[9, 20] Operation: 42-22=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[9, 20], Operations: ['75-33=42', '42-22=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,36 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_1 | mult_heuristic |
[
55,
60,
40,
25
] | 21 | [
"55-40=15",
"60/15=4",
"25-4=21"
] | Current State: 21:[55, 60, 40, 25], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [60, 25, 15]
Generated Node #2: [60, 25, 15] from Operation: 55-40=15
Current State: 21:[60, 25, 15], Operations: ['55-40=15']
Exploring Operation: 60/15=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 60/15=4
Current State: 21:[25, 4], Operations: ['55-40=15', '60/15=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[55, 60, 40, 25], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [40, 25, 5]
Generated Node #0,0: 21:[40, 25, 5] Operation: 60-55=5
Moving to Node #0,0
Current State: 21:[40, 25, 5], Operations: ['60-55=5']
Exploring Operation: 40/5=8, Resulting Numbers: [25, 8]
Generated Node #0,0,0: 21:[25, 8] Operation: 40/5=8
Moving to Node #0,0,0
Current State: 21:[25, 8], Operations: ['60-55=5', '40/5=8']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,21 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
63,
56,
37
] | 79 | [
"77-63=14",
"56+37=93",
"93-14=79"
] | Current State: 79:[77, 63, 56, 37], Operations: []
Exploring Operation: 77-63=14, Resulting Numbers: [56, 37, 14]
Generated Node #2: [56, 37, 14] from Operation: 77-63=14
Current State: 79:[56, 37, 14], Operations: ['77-63=14']
Exploring Operation: 56+37=93, Resulting Numbers: [14, 93]
Generated Node #3: [14, 93] from Operation: 56+37=93
Current State: 79:[14, 93], Operations: ['77-63=14', '56+37=93']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[77, 63, 56, 37], Operations: []
Exploring Operation: 77+37=114, Resulting Numbers: [63, 56, 114]
Generated Node #0,0: 79:[63, 56, 114] Operation: 77+37=114
Exploring Operation: 56+37=93, Resulting Numbers: [77, 63, 93]
Generated Node #0,1: 79:[77, 63, 93] Operation: 56+37=93
Exploring Operation: 63+37=100, Resulting Numbers: [77, 56, 100]
Generated Node #0,2: 79:[77, 56, 100] Operation: 63+37=100
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[77, 63, 93], Operations: ['56+37=93']
Exploring Operation: 77-63=14, Resulting Numbers: [93, 14]
Generated Node #0,1,0: 79:[93, 14] Operation: 77-63=14
Exploring Operation: 77+63=140, Resulting Numbers: [93, 140]
Generated Node #0,1,1: 79:[93, 140] Operation: 77+63=140
Exploring Operation: 93-63=30, Resulting Numbers: [77, 30]
Generated Node #0,1,2: 79:[77, 30] Operation: 93-63=30
Moving to Node #0,1,2
Current State: 79:[77, 30], Operations: ['56+37=93', '93-63=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,79 unequal: No Solution
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[93, 140], Operations: ['56+37=93', '77+63=140']
Exploring Operation: 93*140=13020, Resulting Numbers: [13020]
13020,79 unequal: No Solution
Exploring Operation: 93+140=233, Resulting Numbers: [233]
233,79 unequal: No Solution
Exploring Operation: 140-93=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[93, 14], Operations: ['56+37=93', '77-63=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[77, 63, 56, 37], Operations: []
Exploring Operation: 56+37=93, Resulting Numbers: [77, 63, 93]
Generated Node #0,1: 79:[77, 63, 93] Operation: 56+37=93
Moving to Node #0,1
Current State: 79:[77, 63, 93], Operations: ['56+37=93']
Exploring Operation: 77-63=14, Resulting Numbers: [93, 14]
Generated Node #0,1,0: 79:[93, 14] Operation: 77-63=14
Moving to Node #0,1,0
Current State: 79:[93, 14], Operations: ['56+37=93', '77-63=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
86,
75,
20,
56
] | 86 | [
"75-20=55",
"56-55=1",
"86*1=86"
] | Current State: 86:[86, 75, 20, 56], Operations: []
Exploring Operation: 75-20=55, Resulting Numbers: [86, 56, 55]
Generated Node #2: [86, 56, 55] from Operation: 75-20=55
Current State: 86:[86, 56, 55], Operations: ['75-20=55']
Exploring Operation: 56-55=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 56-55=1
Current State: 86:[86, 1], Operations: ['75-20=55', '56-55=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[86, 75, 20, 56], Operations: []
Exploring Operation: 20+56=76, Resulting Numbers: [86, 75, 76]
Generated Node #0,0: 86:[86, 75, 76] Operation: 20+56=76
Exploring Operation: 56-20=36, Resulting Numbers: [86, 75, 36]
Generated Node #0,1: 86:[86, 75, 36] Operation: 56-20=36
Exploring Operation: 75+20=95, Resulting Numbers: [86, 56, 95]
Generated Node #0,2: 86:[86, 56, 95] Operation: 75+20=95
Exploring Operation: 75-20=55, Resulting Numbers: [86, 56, 55]
Generated Node #0,3: 86:[86, 56, 55] Operation: 75-20=55
Moving to Node #0,1
Current State: 86:[86, 75, 36], Operations: ['56-20=36']
Exploring Operation: 86-75=11, Resulting Numbers: [36, 11]
Generated Node #0,1,0: 86:[36, 11] Operation: 86-75=11
Exploring Operation: 75-36=39, Resulting Numbers: [86, 39]
Generated Node #0,1,1: 86:[86, 39] Operation: 75-36=39
Exploring Operation: 86-36=50, Resulting Numbers: [75, 50]
Generated Node #0,1,2: 86:[75, 50] Operation: 86-36=50
Exploring Operation: 75+36=111, Resulting Numbers: [86, 111]
Generated Node #0,1,3: 86:[86, 111] Operation: 75+36=111
Moving to Node #0,0
Current State: 86:[86, 75, 76], Operations: ['20+56=76']
Exploring Operation: 75+76=151, Resulting Numbers: [86, 151]
Generated Node #0,0,0: 86:[86, 151] Operation: 75+76=151
Exploring Operation: 76-75=1, Resulting Numbers: [86, 1]
Generated Node #0,0,1: 86:[86, 1] Operation: 76-75=1
Exploring Operation: 86-75=11, Resulting Numbers: [76, 11]
Generated Node #0,0,2: 86:[76, 11] Operation: 86-75=11
Exploring Operation: 86-76=10, Resulting Numbers: [75, 10]
Generated Node #0,0,3: 86:[75, 10] Operation: 86-76=10
Moving to Node #0,2
Current State: 86:[86, 56, 95], Operations: ['75+20=95']
Exploring Operation: 95-86=9, Resulting Numbers: [56, 9]
Generated Node #0,2,0: 86:[56, 9] Operation: 95-86=9
Exploring Operation: 86+56=142, Resulting Numbers: [95, 142]
Generated Node #0,2,1: 86:[95, 142] Operation: 86+56=142
Exploring Operation: 86-56=30, Resulting Numbers: [95, 30]
Generated Node #0,2,2: 86:[95, 30] Operation: 86-56=30
Exploring Operation: 95-56=39, Resulting Numbers: [86, 39]
Generated Node #0,2,3: 86:[86, 39] Operation: 95-56=39
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[86, 39], Operations: ['75+20=95', '95-56=39']
Exploring Operation: 86*39=3354, Resulting Numbers: [3354]
3354,86 unequal: No Solution
Exploring Operation: 86+39=125, Resulting Numbers: [125]
125,86 unequal: No Solution
Exploring Operation: 86-39=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 #0,2,0
Current State: 86:[56, 9], Operations: ['75+20=95', '95-86=9']
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 56*9=504, Resulting Numbers: [504]
504,86 unequal: No Solution
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,86 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 #0,2,2
Current State: 86:[95, 30], Operations: ['75+20=95', '86-56=30']
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,86 unequal: No Solution
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,86 unequal: No Solution
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,86 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 #0,2,1
Current State: 86:[95, 142], Operations: ['75+20=95', '86+56=142']
Exploring Operation: 95*142=13490, Resulting Numbers: [13490]
13490,86 unequal: No Solution
Exploring Operation: 142-95=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 95+142=237, Resulting Numbers: [237]
237,86 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: 86:[86, 56, 55], Operations: ['75-20=55']
Exploring Operation: 86-56=30, Resulting Numbers: [55, 30]
Generated Node #0,3,0: 86:[55, 30] Operation: 86-56=30
Exploring Operation: 56+55=111, Resulting Numbers: [86, 111]
Generated Node #0,3,1: 86:[86, 111] Operation: 56+55=111
Exploring Operation: 56-55=1, Resulting Numbers: [86, 1]
Generated Node #0,3,2: 86:[86, 1] Operation: 56-55=1
Exploring Operation: 86-55=31, Resulting Numbers: [56, 31]
Generated Node #0,3,3: 86:[56, 31] Operation: 86-55=31
Moving to Node #0,0,1
Current State: 86:[86, 1], Operations: ['20+56=76', '76-75=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[86, 75, 20, 56], Operations: []
Exploring Operation: 20+56=76, Resulting Numbers: [86, 75, 76]
Generated Node #0,0: 86:[86, 75, 76] Operation: 20+56=76
Moving to Node #0,0
Current State: 86:[86, 75, 76], Operations: ['20+56=76']
Exploring Operation: 76-75=1, Resulting Numbers: [86, 1]
Generated Node #0,0,1: 86:[86, 1] Operation: 76-75=1
Moving to Node #0,0,1
Current State: 86:[86, 1], Operations: ['20+56=76', '76-75=1']
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
90,
53,
13,
5
] | 19 | [
"90-53=37",
"13+5=18",
"37-18=19"
] | Current State: 19:[90, 53, 13, 5], Operations: []
Exploring Operation: 90-53=37, Resulting Numbers: [13, 5, 37]
Generated Node #2: [13, 5, 37] from Operation: 90-53=37
Current State: 19:[13, 5, 37], Operations: ['90-53=37']
Exploring Operation: 13+5=18, Resulting Numbers: [37, 18]
Generated Node #3: [37, 18] from Operation: 13+5=18
Current State: 19:[37, 18], Operations: ['90-53=37', '13+5=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[90, 53, 13, 5], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [53, 5, 77]
Generated Node #0,0: 19:[53, 5, 77] Operation: 90-13=77
Exploring Operation: 90/5=18, Resulting Numbers: [53, 13, 18]
Generated Node #0,1: 19:[53, 13, 18] Operation: 90/5=18
Exploring Operation: 90-53=37, Resulting Numbers: [13, 5, 37]
Generated Node #0,2: 19:[13, 5, 37] Operation: 90-53=37
Exploring Operation: 53-13=40, Resulting Numbers: [90, 5, 40]
Generated Node #0,3: 19:[90, 5, 40] Operation: 53-13=40
Exploring Operation: 90-5=85, Resulting Numbers: [53, 13, 85]
Generated Node #0,4: 19:[53, 13, 85] Operation: 90-5=85
Moving to Node #0,2
Current State: 19:[13, 5, 37], Operations: ['90-53=37']
Exploring Operation: 5+37=42, Resulting Numbers: [13, 42]
Generated Node #0,2,0: 19:[13, 42] Operation: 5+37=42
Exploring Operation: 13-5=8, Resulting Numbers: [37, 8]
Generated Node #0,2,1: 19:[37, 8] Operation: 13-5=8
Exploring Operation: 37-13=24, Resulting Numbers: [5, 24]
Generated Node #0,2,2: 19:[5, 24] Operation: 37-13=24
Exploring Operation: 37-5=32, Resulting Numbers: [13, 32]
Generated Node #0,2,3: 19:[13, 32] Operation: 37-5=32
Exploring Operation: 13+5=18, Resulting Numbers: [37, 18]
Generated Node #0,2,4: 19:[37, 18] Operation: 13+5=18
Moving to Node #0,1
Current State: 19:[53, 13, 18], Operations: ['90/5=18']
Exploring Operation: 18-13=5, Resulting Numbers: [53, 5]
Generated Node #0,1,0: 19:[53, 5] Operation: 18-13=5
Exploring Operation: 53+13=66, Resulting Numbers: [18, 66]
Generated Node #0,1,1: 19:[18, 66] Operation: 53+13=66
Exploring Operation: 13+18=31, Resulting Numbers: [53, 31]
Generated Node #0,1,2: 19:[53, 31] Operation: 13+18=31
Exploring Operation: 53-13=40, Resulting Numbers: [18, 40]
Generated Node #0,1,3: 19:[18, 40] Operation: 53-13=40
Exploring Operation: 53-18=35, Resulting Numbers: [13, 35]
Generated Node #0,1,4: 19:[13, 35] Operation: 53-18=35
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[18, 40], Operations: ['90/5=18', '53-13=40']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 18+40=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 18*40=720, Resulting Numbers: [720]
720,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 19:[13, 35], Operations: ['90/5=18', '53-18=35']
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 13+35=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 13*35=455, Resulting Numbers: [455]
455,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[53, 31], Operations: ['90/5=18', '13+18=31']
Exploring Operation: 53*31=1643, Resulting Numbers: [1643]
1643,19 unequal: No Solution
Exploring Operation: 53+31=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[53, 5], Operations: ['90/5=18', '18-13=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,19 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[18, 66], Operations: ['90/5=18', '53+13=66']
Exploring Operation: 18*66=1188, Resulting Numbers: [1188]
1188,19 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,19 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: 19:[53, 5, 77], Operations: ['90-13=77']
Exploring Operation: 53+5=58, Resulting Numbers: [77, 58]
Generated Node #0,0,0: 19:[77, 58] Operation: 53+5=58
Exploring Operation: 53-5=48, Resulting Numbers: [77, 48]
Generated Node #0,0,1: 19:[77, 48] Operation: 53-5=48
Exploring Operation: 77-53=24, Resulting Numbers: [5, 24]
Generated Node #0,0,2: 19:[5, 24] Operation: 77-53=24
Exploring Operation: 77-5=72, Resulting Numbers: [53, 72]
Generated Node #0,0,3: 19:[53, 72] Operation: 77-5=72
Exploring Operation: 5+77=82, Resulting Numbers: [53, 82]
Generated Node #0,0,4: 19:[53, 82] Operation: 5+77=82
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 19:[5, 24], Operations: ['90-13=77', '77-53=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[90, 53, 13, 5], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [53, 5, 77]
Generated Node #0,0: 19:[53, 5, 77] Operation: 90-13=77
Moving to Node #0,0
Current State: 19:[53, 5, 77], Operations: ['90-13=77']
Exploring Operation: 77-53=24, Resulting Numbers: [5, 24]
Generated Node #0,0,2: 19:[5, 24] Operation: 77-53=24
Moving to Node #0,0,2
Current State: 19:[5, 24], Operations: ['90-13=77', '77-53=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
76,
25,
41,
35
] | 49 | [
"76-41=35",
"35*35=1225",
"1225/25=49"
] | Current State: 49:[76, 25, 41, 35], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [25, 35, 35]
Generated Node #2: [25, 35, 35] from Operation: 76-41=35
Current State: 49:[25, 35, 35], Operations: ['76-41=35']
Exploring Operation: 35*35=1225, Resulting Numbers: [25, 1225]
Generated Node #3: [25, 1225] from Operation: 35*35=1225
Current State: 49:[25, 1225], Operations: ['76-41=35', '35*35=1225']
Exploring Operation: 1225/25=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[76, 25, 41, 35], Operations: []
Exploring Operation: 76-35=41, Resulting Numbers: [25, 41, 41]
Generated Node #0,0: 49:[25, 41, 41] Operation: 76-35=41
Exploring Operation: 76-25=51, Resulting Numbers: [41, 35, 51]
Generated Node #0,1: 49:[41, 35, 51] Operation: 76-25=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[41, 35, 51], Operations: ['76-25=51']
Exploring Operation: 51-41=10, Resulting Numbers: [35, 10]
Generated Node #0,1,0: 49:[35, 10] Operation: 51-41=10
Exploring Operation: 41-35=6, Resulting Numbers: [51, 6]
Generated Node #0,1,1: 49:[51, 6] Operation: 41-35=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[51, 6], Operations: ['76-25=51', '41-35=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[35, 10], Operations: ['76-25=51', '51-41=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[25, 41, 41], Operations: ['76-35=41']
Exploring Operation: 41-25=16, Resulting Numbers: [41, 16]
Generated Node #0,0,0: 49:[41, 16] Operation: 41-25=16
Exploring Operation: 41-25=16, Resulting Numbers: [41, 16]
Generated Node #0,0,1: 49:[41, 16] Operation: 41-25=16
Moving to Node #0,0,0
Current State: 49:[41, 16], Operations: ['76-35=41', '41-25=16']
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[41, 16], Operations: ['76-35=41', '41-25=16']
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,49 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 |
[
97,
70,
41,
95
] | 58 | [
"97-95=2",
"70-41=29",
"2*29=58"
] | Current State: 58:[97, 70, 41, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [70, 41, 2]
Generated Node #2: [70, 41, 2] from Operation: 97-95=2
Current State: 58:[70, 41, 2], Operations: ['97-95=2']
Exploring Operation: 70-41=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 70-41=29
Current State: 58:[2, 29], Operations: ['97-95=2', '70-41=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[97, 70, 41, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [70, 41, 2]
Generated Node #0,0: 58:[70, 41, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 58:[70, 41, 2], Operations: ['97-95=2']
Exploring Operation: 70-41=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 58:[2, 29] Operation: 70-41=29
Moving to Node #0,0,0
Current State: 58:[2, 29], Operations: ['97-95=2', '70-41=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[97, 70, 41, 95], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [70, 41, 2]
Generated Node #0,0: 58:[70, 41, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 58:[70, 41, 2], Operations: ['97-95=2']
Exploring Operation: 70-41=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 58:[2, 29] Operation: 70-41=29
Moving to Node #0,0,0
Current State: 58:[2, 29], Operations: ['97-95=2', '70-41=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
89,
61,
58,
97
] | 62 | [
"89+97=186",
"61-58=3",
"186/3=62"
] | Current State: 62:[89, 61, 58, 97], Operations: []
Exploring Operation: 89+97=186, Resulting Numbers: [61, 58, 186]
Generated Node #2: [61, 58, 186] from Operation: 89+97=186
Current State: 62:[61, 58, 186], Operations: ['89+97=186']
Exploring Operation: 61-58=3, Resulting Numbers: [186, 3]
Generated Node #3: [186, 3] from Operation: 61-58=3
Current State: 62:[186, 3], Operations: ['89+97=186', '61-58=3']
Exploring Operation: 186/3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[89, 61, 58, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [61, 58, 8]
Generated Node #0,0: 62:[61, 58, 8] Operation: 97-89=8
Exploring Operation: 97-58=39, Resulting Numbers: [89, 61, 39]
Generated Node #0,1: 62:[89, 61, 39] Operation: 97-58=39
Exploring Operation: 89-58=31, Resulting Numbers: [61, 97, 31]
Generated Node #0,2: 62:[61, 97, 31] Operation: 89-58=31
Exploring Operation: 97-61=36, Resulting Numbers: [89, 58, 36]
Generated Node #0,3: 62:[89, 58, 36] Operation: 97-61=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[61, 58, 8], Operations: ['97-89=8']
Exploring Operation: 61+8=69, Resulting Numbers: [58, 69]
Generated Node #0,0,0: 62:[58, 69] Operation: 61+8=69
Exploring Operation: 61-8=53, Resulting Numbers: [58, 53]
Generated Node #0,0,1: 62:[58, 53] Operation: 61-8=53
Exploring Operation: 61-58=3, Resulting Numbers: [8, 3]
Generated Node #0,0,2: 62:[8, 3] Operation: 61-58=3
Exploring Operation: 58+8=66, Resulting Numbers: [61, 66]
Generated Node #0,0,3: 62:[61, 66] Operation: 58+8=66
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 62:[61, 66], Operations: ['97-89=8', '58+8=66']
Exploring Operation: 61+66=127, Resulting Numbers: [127]
127,62 unequal: No Solution
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 61*66=4026, Resulting Numbers: [4026]
4026,62 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 #0,0,2
Current State: 62:[8, 3], Operations: ['97-89=8', '61-58=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,62 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 #0,0,0
Current State: 62:[58, 69], Operations: ['97-89=8', '61+8=69']
Exploring Operation: 69-58=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 58*69=4002, Resulting Numbers: [4002]
4002,62 unequal: No Solution
Exploring Operation: 58+69=127, Resulting Numbers: [127]
127,62 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 #0,0,1
Current State: 62:[58, 53], Operations: ['97-89=8', '61-8=53']
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,62 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: 62:[89, 61, 39], Operations: ['97-58=39']
Exploring Operation: 61-39=22, Resulting Numbers: [89, 22]
Generated Node #0,1,0: 62:[89, 22] Operation: 61-39=22
Exploring Operation: 89-61=28, Resulting Numbers: [39, 28]
Generated Node #0,1,1: 62:[39, 28] Operation: 89-61=28
Exploring Operation: 89-39=50, Resulting Numbers: [61, 50]
Generated Node #0,1,2: 62:[61, 50] Operation: 89-39=50
Exploring Operation: 61+39=100, Resulting Numbers: [89, 100]
Generated Node #0,1,3: 62:[89, 100] Operation: 61+39=100
Moving to Node #0,1,1
Current State: 62:[39, 28], Operations: ['97-58=39', '89-61=28']
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,62 unequal: No Solution
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[61, 50], Operations: ['97-58=39', '89-39=50']
Exploring Operation: 61*50=3050, Resulting Numbers: [3050]
3050,62 unequal: No Solution
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,62 unequal: No Solution
Exploring Operation: 61+50=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[89, 22], Operations: ['97-58=39', '61-39=22']
Exploring Operation: 89*22=1958, Resulting Numbers: [1958]
1958,62 unequal: No Solution
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Moving to Node #0,1,3
Current State: 62:[89, 100], Operations: ['97-58=39', '61+39=100']
Exploring Operation: 89+100=189, Resulting Numbers: [189]
189,62 unequal: No Solution
Exploring Operation: 89*100=8900, Resulting Numbers: [8900]
8900,62 unequal: No Solution
Exploring Operation: 100-89=11, Resulting Numbers: [11]
11,62 unequal: No Solution
No 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: 62:[61, 97, 31], Operations: ['89-58=31']
Exploring Operation: 97-31=66, Resulting Numbers: [61, 66]
Generated Node #0,2,0: 62:[61, 66] Operation: 97-31=66
Exploring Operation: 61+31=92, Resulting Numbers: [97, 92]
Generated Node #0,2,1: 62:[97, 92] Operation: 61+31=92
Exploring Operation: 97-61=36, Resulting Numbers: [31, 36]
Generated Node #0,2,2: 62:[31, 36] Operation: 97-61=36
Exploring Operation: 61-31=30, Resulting Numbers: [97, 30]
Generated Node #0,2,3: 62:[97, 30] Operation: 61-31=30
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 62:[61, 66], Operations: ['89-58=31', '97-31=66']
Exploring Operation: 66-61=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 61*66=4026, Resulting Numbers: [4026]
4026,62 unequal: No Solution
Exploring Operation: 61+66=127, Resulting Numbers: [127]
127,62 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 #0,2,2
Current State: 62:[31, 36], Operations: ['89-58=31', '97-61=36']
Exploring Operation: 31+36=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 31*36=1116, Resulting Numbers: [1116]
1116,62 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 #0,2,3
Current State: 62:[97, 30], Operations: ['89-58=31', '61-31=30']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,62 unequal: No Solution
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,62 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 #0,2,1
Current State: 62:[97, 92], Operations: ['89-58=31', '61+31=92']
Exploring Operation: 97+92=189, Resulting Numbers: [189]
189,62 unequal: No Solution
Exploring Operation: 97*92=8924, Resulting Numbers: [8924]
8924,62 unequal: No Solution
Exploring Operation: 97-92=5, Resulting Numbers: [5]
5,62 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: 62:[89, 58, 36], Operations: ['97-61=36']
Exploring Operation: 89-36=53, Resulting Numbers: [58, 53]
Generated Node #0,3,0: 62:[58, 53] Operation: 89-36=53
Exploring Operation: 89-58=31, Resulting Numbers: [36, 31]
Generated Node #0,3,1: 62:[36, 31] Operation: 89-58=31
Exploring Operation: 58+36=94, Resulting Numbers: [89, 94]
Generated Node #0,3,2: 62:[89, 94] Operation: 58+36=94
Exploring Operation: 58-36=22, Resulting Numbers: [89, 22]
Generated Node #0,3,3: 62:[89, 22] Operation: 58-36=22
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 62:[36, 31], Operations: ['97-61=36', '89-58=31']
Exploring Operation: 36-31=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 36*31=1116, Resulting Numbers: [1116]
1116,62 unequal: No Solution
Exploring Operation: 36+31=67, Resulting Numbers: [67]
67,62 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 #0,3,0
Current State: 62:[58, 53], Operations: ['97-61=36', '89-36=53']
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,62 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,62 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 #0,3,3
Current State: 62:[89, 22], Operations: ['97-61=36', '58-36=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,62 unequal: No Solution
Exploring Operation: 89*22=1958, Resulting Numbers: [1958]
1958,62 unequal: No Solution
Exploring Operation: 89+22=111, Resulting Numbers: [111]
111,62 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 #0,3,2
Current State: 62:[89, 94], Operations: ['97-61=36', '58+36=94']
Exploring Operation: 89*94=8366, Resulting Numbers: [8366]
8366,62 unequal: No Solution
Exploring Operation: 89+94=183, Resulting Numbers: [183]
183,62 unequal: No Solution
Exploring Operation: 94-89=5, Resulting Numbers: [5]
5,62 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 |
[
71,
80,
51,
76
] | 67 | [
"76-71=5",
"80/5=16",
"51+16=67"
] | Current State: 67:[71, 80, 51, 76], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [80, 51, 5]
Generated Node #2: [80, 51, 5] from Operation: 76-71=5
Current State: 67:[80, 51, 5], Operations: ['76-71=5']
Exploring Operation: 80/5=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 80/5=16
Current State: 67:[51, 16], Operations: ['76-71=5', '80/5=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[71, 80, 51, 76], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [71, 80, 25]
Generated Node #0,0: 67:[71, 80, 25] Operation: 76-51=25
Exploring Operation: 71-51=20, Resulting Numbers: [80, 76, 20]
Generated Node #0,1: 67:[80, 76, 20] Operation: 71-51=20
Exploring Operation: 80-51=29, Resulting Numbers: [71, 76, 29]
Generated Node #0,2: 67:[71, 76, 29] Operation: 80-51=29
Start Sub Search at level 1: Moving to Node #0,2
Current State: 67:[71, 76, 29], Operations: ['80-51=29']
Exploring Operation: 71+29=100, Resulting Numbers: [76, 100]
Generated Node #0,2,0: 67:[76, 100] Operation: 71+29=100
Exploring Operation: 71-29=42, Resulting Numbers: [76, 42]
Generated Node #0,2,1: 67:[76, 42] Operation: 71-29=42
Exploring Operation: 76-29=47, Resulting Numbers: [71, 47]
Generated Node #0,2,2: 67:[71, 47] Operation: 76-29=47
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[71, 47], Operations: ['80-51=29', '76-29=47']
Exploring Operation: 71+47=118, Resulting Numbers: [118]
118,67 unequal: No Solution
Exploring Operation: 71*47=3337, Resulting Numbers: [3337]
3337,67 unequal: No Solution
Exploring Operation: 71-47=24, Resulting Numbers: [24]
24,67 unequal: No Solution
No 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: 67:[76, 42], Operations: ['80-51=29', '71-29=42']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Exploring Operation: 76*42=3192, Resulting Numbers: [3192]
3192,67 unequal: No Solution
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,67 unequal: No Solution
No 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: 67:[76, 100], Operations: ['80-51=29', '71+29=100']
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 76+100=176, Resulting Numbers: [176]
176,67 unequal: No Solution
Exploring Operation: 76*100=7600, Resulting Numbers: [7600]
7600,67 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: 67:[71, 80, 25], Operations: ['76-51=25']
Exploring Operation: 71+25=96, Resulting Numbers: [80, 96]
Generated Node #0,0,0: 67:[80, 96] Operation: 71+25=96
Exploring Operation: 80-25=55, Resulting Numbers: [71, 55]
Generated Node #0,0,1: 67:[71, 55] Operation: 80-25=55
Exploring Operation: 71-25=46, Resulting Numbers: [80, 46]
Generated Node #0,0,2: 67:[80, 46] Operation: 71-25=46
Moving to Node #0,0,1
Current State: 67:[71, 55], Operations: ['76-51=25', '80-25=55']
Exploring Operation: 71*55=3905, Resulting Numbers: [3905]
3905,67 unequal: No Solution
Exploring Operation: 71+55=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 71-55=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[80, 46], Operations: ['76-51=25', '71-25=46']
Exploring Operation: 80+46=126, Resulting Numbers: [126]
126,67 unequal: No Solution
Exploring Operation: 80*46=3680, Resulting Numbers: [3680]
3680,67 unequal: No Solution
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[80, 96], Operations: ['76-51=25', '71+25=96']
Exploring Operation: 80*96=7680, Resulting Numbers: [7680]
7680,67 unequal: No Solution
Exploring Operation: 80+96=176, Resulting Numbers: [176]
176,67 unequal: No Solution
Exploring Operation: 96-80=16, Resulting Numbers: [16]
16,67 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
Current State: 67:[80, 76, 20], Operations: ['71-51=20']
Exploring Operation: 76-20=56, Resulting Numbers: [80, 56]
Generated Node #0,1,0: 67:[80, 56] Operation: 76-20=56
Exploring Operation: 80+20=100, Resulting Numbers: [76, 100]
Generated Node #0,1,1: 67:[76, 100] Operation: 80+20=100
Exploring Operation: 80-20=60, Resulting Numbers: [76, 60]
Generated Node #0,1,2: 67:[76, 60] Operation: 80-20=60
Moving to Node #0,1,2
Current State: 67:[76, 60], Operations: ['71-51=20', '80-20=60']
Exploring Operation: 76+60=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 76*60=4560, Resulting Numbers: [4560]
4560,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[80, 56], Operations: ['71-51=20', '76-20=56']
Exploring Operation: 80+56=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 80-56=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 80*56=4480, Resulting Numbers: [4480]
4480,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[76, 100], Operations: ['71-51=20', '80+20=100']
Exploring Operation: 76+100=176, Resulting Numbers: [176]
176,67 unequal: No Solution
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 76*100=7600, Resulting Numbers: [7600]
7600,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
28,
84,
36,
97
] | 77 | [
"84-28=56",
"36+97=133",
"133-56=77"
] | Current State: 77:[28, 84, 36, 97], Operations: []
Exploring Operation: 84-28=56, Resulting Numbers: [36, 97, 56]
Generated Node #2: [36, 97, 56] from Operation: 84-28=56
Current State: 77:[36, 97, 56], Operations: ['84-28=56']
Exploring Operation: 36+97=133, Resulting Numbers: [56, 133]
Generated Node #3: [56, 133] from Operation: 36+97=133
Current State: 77:[56, 133], Operations: ['84-28=56', '36+97=133']
Exploring Operation: 133-56=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[28, 84, 36, 97], Operations: []
Exploring Operation: 36-28=8, Resulting Numbers: [84, 97, 8]
Generated Node #0,0: 77:[84, 97, 8] Operation: 36-28=8
Exploring Operation: 97-28=69, Resulting Numbers: [84, 36, 69]
Generated Node #0,1: 77:[84, 36, 69] Operation: 97-28=69
Exploring Operation: 28+36=64, Resulting Numbers: [84, 97, 64]
Generated Node #0,2: 77:[84, 97, 64] Operation: 28+36=64
Moving to Node #0,0
Current State: 77:[84, 97, 8], Operations: ['36-28=8']
Exploring Operation: 84-8=76, Resulting Numbers: [97, 76]
Generated Node #0,0,0: 77:[97, 76] Operation: 84-8=76
Exploring Operation: 97-84=13, Resulting Numbers: [8, 13]
Generated Node #0,0,1: 77:[8, 13] Operation: 97-84=13
Exploring Operation: 97-8=89, Resulting Numbers: [84, 89]
Generated Node #0,0,2: 77:[84, 89] Operation: 97-8=89
Moving to Node #0,1
Current State: 77:[84, 36, 69], Operations: ['97-28=69']
Exploring Operation: 36+69=105, Resulting Numbers: [84, 105]
Generated Node #0,1,0: 77:[84, 105] Operation: 36+69=105
Exploring Operation: 69-36=33, Resulting Numbers: [84, 33]
Generated Node #0,1,1: 77:[84, 33] Operation: 69-36=33
Exploring Operation: 84-69=15, Resulting Numbers: [36, 15]
Generated Node #0,1,2: 77:[36, 15] Operation: 84-69=15
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[84, 33], Operations: ['97-28=69', '69-36=33']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 84*33=2772, Resulting Numbers: [2772]
2772,77 unequal: No Solution
Exploring Operation: 84+33=117, Resulting Numbers: [117]
117,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 77:[36, 15], Operations: ['97-28=69', '84-69=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,77 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[84, 105], Operations: ['97-28=69', '36+69=105']
Exploring Operation: 84*105=8820, Resulting Numbers: [8820]
8820,77 unequal: No Solution
Exploring Operation: 84+105=189, Resulting Numbers: [189]
189,77 unequal: No Solution
Exploring Operation: 105-84=21, Resulting Numbers: [21]
21,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 77:[84, 97, 64], Operations: ['28+36=64']
Exploring Operation: 97-84=13, Resulting Numbers: [64, 13]
Generated Node #0,2,0: 77:[64, 13] Operation: 97-84=13
Exploring Operation: 84-64=20, Resulting Numbers: [97, 20]
Generated Node #0,2,1: 77:[97, 20] Operation: 84-64=20
Exploring Operation: 97-64=33, Resulting Numbers: [84, 33]
Generated Node #0,2,2: 77:[84, 33] Operation: 97-64=33
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[64, 13], Operations: ['28+36=64', '97-84=13']
Exploring Operation: 64*13=832, Resulting Numbers: [832]
832,77 unequal: No Solution
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[28, 84, 36, 97], Operations: []
Exploring Operation: 28+36=64, Resulting Numbers: [84, 97, 64]
Generated Node #0,2: 77:[84, 97, 64] Operation: 28+36=64
Moving to Node #0,2
Current State: 77:[84, 97, 64], Operations: ['28+36=64']
Exploring Operation: 97-84=13, Resulting Numbers: [64, 13]
Generated Node #0,2,0: 77:[64, 13] Operation: 97-84=13
Moving to Node #0,2,0
Current State: 77:[64, 13], Operations: ['28+36=64', '97-84=13']
Exploring Operation: 64+13=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
83,
80,
72,
88
] | 78 | [
"88-72=16",
"80/16=5",
"83-5=78"
] | Current State: 78:[83, 80, 72, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [83, 80, 16]
Generated Node #2: [83, 80, 16] from Operation: 88-72=16
Current State: 78:[83, 80, 16], Operations: ['88-72=16']
Exploring Operation: 80/16=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 80/16=5
Current State: 78:[83, 5], Operations: ['88-72=16', '80/16=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[83, 80, 72, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [83, 80, 16]
Generated Node #0,0: 78:[83, 80, 16] Operation: 88-72=16
Exploring Operation: 88-83=5, Resulting Numbers: [80, 72, 5]
Generated Node #0,1: 78:[80, 72, 5] Operation: 88-83=5
Exploring Operation: 88-80=8, Resulting Numbers: [83, 72, 8]
Generated Node #0,2: 78:[83, 72, 8] Operation: 88-80=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[80, 72, 5], Operations: ['88-83=5']
Exploring Operation: 80-5=75, Resulting Numbers: [72, 75]
Generated Node #0,1,0: 78:[72, 75] Operation: 80-5=75
Exploring Operation: 72+5=77, Resulting Numbers: [80, 77]
Generated Node #0,1,1: 78:[80, 77] Operation: 72+5=77
Exploring Operation: 80-72=8, Resulting Numbers: [5, 8]
Generated Node #0,1,2: 78:[5, 8] Operation: 80-72=8
Moving to Node #0,1,1
Current State: 78:[80, 77], Operations: ['88-83=5', '72+5=77']
Exploring Operation: 80+77=157, Resulting Numbers: [157]
157,78 unequal: No Solution
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 80*77=6160, Resulting Numbers: [6160]
6160,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[5, 8], Operations: ['88-83=5', '80-72=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[72, 75], Operations: ['88-83=5', '80-5=75']
Exploring Operation: 72+75=147, Resulting Numbers: [147]
147,78 unequal: No Solution
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 72*75=5400, Resulting Numbers: [5400]
5400,78 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 #0,0
Current State: 78:[83, 80, 16], Operations: ['88-72=16']
Exploring Operation: 80/16=5, Resulting Numbers: [83, 5]
Generated Node #0,0,0: 78:[83, 5] Operation: 80/16=5
Exploring Operation: 83-80=3, Resulting Numbers: [16, 3]
Generated Node #0,0,1: 78:[16, 3] Operation: 83-80=3
Exploring Operation: 83-16=67, Resulting Numbers: [80, 67]
Generated Node #0,0,2: 78:[80, 67] Operation: 83-16=67
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[16, 3], Operations: ['88-72=16', '83-80=3']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,78 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 #0,0,0
Current State: 78:[83, 5], Operations: ['88-72=16', '80/16=5']
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,78 unequal: No Solution
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,78 unequal: No Solution
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[83, 80, 72, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [83, 80, 16]
Generated Node #0,0: 78:[83, 80, 16] Operation: 88-72=16
Moving to Node #0,0
Current State: 78:[83, 80, 16], Operations: ['88-72=16']
Exploring Operation: 80/16=5, Resulting Numbers: [83, 5]
Generated Node #0,0,0: 78:[83, 5] Operation: 80/16=5
Moving to Node #0,0,0
Current State: 78:[83, 5], Operations: ['88-72=16', '80/16=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
77,
28,
20,
11
] | 96 | [
"77+28=105",
"20-11=9",
"105-9=96"
] | Current State: 96:[77, 28, 20, 11], Operations: []
Exploring Operation: 77+28=105, Resulting Numbers: [20, 11, 105]
Generated Node #2: [20, 11, 105] from Operation: 77+28=105
Current State: 96:[20, 11, 105], Operations: ['77+28=105']
Exploring Operation: 20-11=9, Resulting Numbers: [105, 9]
Generated Node #3: [105, 9] from Operation: 20-11=9
Current State: 96:[105, 9], Operations: ['77+28=105', '20-11=9']
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[77, 28, 20, 11], Operations: []
Exploring Operation: 77+20=97, Resulting Numbers: [28, 11, 97]
Generated Node #0,0: 96:[28, 11, 97] Operation: 77+20=97
Exploring Operation: 77/11=7, Resulting Numbers: [28, 20, 7]
Generated Node #0,1: 96:[28, 20, 7] Operation: 77/11=7
Exploring Operation: 77-28=49, Resulting Numbers: [20, 11, 49]
Generated Node #0,2: 96:[20, 11, 49] Operation: 77-28=49
Moving to Node #0,0
Current State: 96:[28, 11, 97], Operations: ['77+20=97']
Exploring Operation: 97-11=86, Resulting Numbers: [28, 86]
Generated Node #0,0,0: 96:[28, 86] Operation: 97-11=86
Exploring Operation: 28+11=39, Resulting Numbers: [97, 39]
Generated Node #0,0,1: 96:[97, 39] Operation: 28+11=39
Exploring Operation: 28-11=17, Resulting Numbers: [97, 17]
Generated Node #0,0,2: 96:[97, 17] Operation: 28-11=17
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[97, 17], Operations: ['77+20=97', '28-11=17']
Exploring Operation: 97*17=1649, Resulting Numbers: [1649]
1649,96 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,96 unequal: No Solution
Exploring Operation: 97+17=114, Resulting Numbers: [114]
114,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[97, 39], Operations: ['77+20=97', '28+11=39']
Exploring Operation: 97*39=3783, Resulting Numbers: [3783]
3783,96 unequal: No Solution
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,96 unequal: No Solution
Exploring Operation: 97+39=136, Resulting Numbers: [136]
136,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[28, 86], Operations: ['77+20=97', '97-11=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,96 unequal: No Solution
Exploring Operation: 28*86=2408, Resulting Numbers: [2408]
2408,96 unequal: No Solution
Exploring Operation: 28+86=114, Resulting Numbers: [114]
114,96 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: 96:[20, 11, 49], Operations: ['77-28=49']
Exploring Operation: 20+11=31, Resulting Numbers: [49, 31]
Generated Node #0,2,0: 96:[49, 31] Operation: 20+11=31
Exploring Operation: 49-20=29, Resulting Numbers: [11, 29]
Generated Node #0,2,1: 96:[11, 29] Operation: 49-20=29
Exploring Operation: 20-11=9, Resulting Numbers: [49, 9]
Generated Node #0,2,2: 96:[49, 9] Operation: 20-11=9
Moving to Node #0,1
Current State: 96:[28, 20, 7], Operations: ['77/11=7']
Exploring Operation: 28-20=8, Resulting Numbers: [7, 8]
Generated Node #0,1,0: 96:[7, 8] Operation: 28-20=8
Exploring Operation: 28/7=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 96:[20, 4] Operation: 28/7=4
Exploring Operation: 28+20=48, Resulting Numbers: [7, 48]
Generated Node #0,1,2: 96:[7, 48] Operation: 28+20=48
Moving to Node #0,1,0
Current State: 96:[7, 8], Operations: ['77/11=7', '28-20=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,96 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[7, 48], Operations: ['77/11=7', '28+20=48']
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,96 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[49, 31], Operations: ['77-28=49', '20+11=31']
Exploring Operation: 49+31=80, Resulting Numbers: [80]
80,96 unequal: No Solution
Exploring Operation: 49*31=1519, Resulting Numbers: [1519]
1519,96 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Moving to Node #0,2,2
Current State: 96:[49, 9], Operations: ['77-28=49', '20-11=9']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,96 unequal: No Solution
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,96 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[20, 4], Operations: ['77/11=7', '28/7=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[11, 29], Operations: ['77-28=49', '49-20=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,96 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,96 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
15,
60,
3,
24
] | 54 | [
"15+60=75",
"24-3=21",
"75-21=54"
] | Current State: 54:[15, 60, 3, 24], Operations: []
Exploring Operation: 15+60=75, Resulting Numbers: [3, 24, 75]
Generated Node #2: [3, 24, 75] from Operation: 15+60=75
Current State: 54:[3, 24, 75], Operations: ['15+60=75']
Exploring Operation: 24-3=21, Resulting Numbers: [75, 21]
Generated Node #3: [75, 21] from Operation: 24-3=21
Current State: 54:[75, 21], Operations: ['15+60=75', '24-3=21']
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[15, 60, 3, 24], Operations: []
Exploring Operation: 24-15=9, Resulting Numbers: [60, 3, 9]
Generated Node #0,0: 54:[60, 3, 9] Operation: 24-15=9
Exploring Operation: 60/3=20, Resulting Numbers: [15, 24, 20]
Generated Node #0,1: 54:[15, 24, 20] Operation: 60/3=20
Exploring Operation: 15+3=18, Resulting Numbers: [60, 24, 18]
Generated Node #0,2: 54:[60, 24, 18] Operation: 15+3=18
Exploring Operation: 60/15=4, Resulting Numbers: [3, 24, 4]
Generated Node #0,3: 54:[3, 24, 4] Operation: 60/15=4
Moving to Node #0,3
Current State: 54:[3, 24, 4], Operations: ['60/15=4']
Exploring Operation: 24/3=8, Resulting Numbers: [4, 8]
Generated Node #0,3,0: 54:[4, 8] Operation: 24/3=8
Exploring Operation: 24/4=6, Resulting Numbers: [3, 6]
Generated Node #0,3,1: 54:[3, 6] Operation: 24/4=6
Exploring Operation: 3+24=27, Resulting Numbers: [4, 27]
Generated Node #0,3,2: 54:[4, 27] Operation: 3+24=27
Exploring Operation: 24+4=28, Resulting Numbers: [3, 28]
Generated Node #0,3,3: 54:[3, 28] Operation: 24+4=28
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 54:[3, 6], Operations: ['60/15=4', '24/4=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,54 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 #0,3,2
Current State: 54:[4, 27], Operations: ['60/15=4', '3+24=27']
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,54 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,54 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,54 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 #0,3,3
Current State: 54:[3, 28], Operations: ['60/15=4', '24+4=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,54 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,54 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 #0,3,0
Current State: 54:[4, 8], Operations: ['60/15=4', '24/3=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,54 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,54 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 54:[60, 3, 9], Operations: ['24-15=9']
Exploring Operation: 60/3=20, Resulting Numbers: [9, 20]
Generated Node #0,0,0: 54:[9, 20] Operation: 60/3=20
Exploring Operation: 60-3=57, Resulting Numbers: [9, 57]
Generated Node #0,0,1: 54:[9, 57] Operation: 60-3=57
Exploring Operation: 60-9=51, Resulting Numbers: [3, 51]
Generated Node #0,0,2: 54:[3, 51] Operation: 60-9=51
Exploring Operation: 3*9=27, Resulting Numbers: [60, 27]
Generated Node #0,0,3: 54:[60, 27] Operation: 3*9=27
Moving to Node #0,1
Current State: 54:[15, 24, 20], Operations: ['60/3=20']
Exploring Operation: 15+20=35, Resulting Numbers: [24, 35]
Generated Node #0,1,0: 54:[24, 35] Operation: 15+20=35
Exploring Operation: 24-15=9, Resulting Numbers: [20, 9]
Generated Node #0,1,1: 54:[20, 9] Operation: 24-15=9
Exploring Operation: 20-15=5, Resulting Numbers: [24, 5]
Generated Node #0,1,2: 54:[24, 5] Operation: 20-15=5
Exploring Operation: 24-20=4, Resulting Numbers: [15, 4]
Generated Node #0,1,3: 54:[15, 4] Operation: 24-20=4
Moving to Node #0,2
Current State: 54:[60, 24, 18], Operations: ['15+3=18']
Exploring Operation: 60-24=36, Resulting Numbers: [18, 36]
Generated Node #0,2,0: 54:[18, 36] Operation: 60-24=36
Exploring Operation: 24-18=6, Resulting Numbers: [60, 6]
Generated Node #0,2,1: 54:[60, 6] Operation: 24-18=6
Exploring Operation: 24+18=42, Resulting Numbers: [60, 42]
Generated Node #0,2,2: 54:[60, 42] Operation: 24+18=42
Exploring Operation: 60-18=42, Resulting Numbers: [24, 42]
Generated Node #0,2,3: 54:[24, 42] Operation: 60-18=42
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[60, 6], Operations: ['15+3=18', '24-18=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[15, 60, 3, 24], Operations: []
Exploring Operation: 15+3=18, Resulting Numbers: [60, 24, 18]
Generated Node #0,2: 54:[60, 24, 18] Operation: 15+3=18
Moving to Node #0,2
Current State: 54:[60, 24, 18], Operations: ['15+3=18']
Exploring Operation: 24-18=6, Resulting Numbers: [60, 6]
Generated Node #0,2,1: 54:[60, 6] Operation: 24-18=6
Moving to Node #0,2,1
Current State: 54:[60, 6], Operations: ['15+3=18', '24-18=6']
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_4 | sum_heuristic |
[
35,
15,
20,
36
] | 62 | [
"15*36=540",
"540/20=27",
"35+27=62"
] | Current State: 62:[35, 15, 20, 36], Operations: []
Exploring Operation: 15*36=540, Resulting Numbers: [35, 20, 540]
Generated Node #2: [35, 20, 540] from Operation: 15*36=540
Current State: 62:[35, 20, 540], Operations: ['15*36=540']
Exploring Operation: 540/20=27, Resulting Numbers: [35, 27]
Generated Node #3: [35, 27] from Operation: 540/20=27
Current State: 62:[35, 27], Operations: ['15*36=540', '540/20=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[35, 15, 20, 36], Operations: []
Exploring Operation: 20+36=56, Resulting Numbers: [35, 15, 56]
Generated Node #0,0: 62:[35, 15, 56] Operation: 20+36=56
Exploring Operation: 15+20=35, Resulting Numbers: [35, 36, 35]
Generated Node #0,1: 62:[35, 36, 35] Operation: 15+20=35
Exploring Operation: 36-35=1, Resulting Numbers: [15, 20, 1]
Generated Node #0,2: 62:[15, 20, 1] Operation: 36-35=1
Exploring Operation: 20-15=5, Resulting Numbers: [35, 36, 5]
Generated Node #0,3: 62:[35, 36, 5] Operation: 20-15=5
Exploring Operation: 35+20=55, Resulting Numbers: [15, 36, 55]
Generated Node #0,4: 62:[15, 36, 55] Operation: 35+20=55
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[35, 36, 5], Operations: ['20-15=5']
Exploring Operation: 35+36=71, Resulting Numbers: [5, 71]
Generated Node #0,3,0: 62:[5, 71] Operation: 35+36=71
Exploring Operation: 36-5=31, Resulting Numbers: [35, 31]
Generated Node #0,3,1: 62:[35, 31] Operation: 36-5=31
Exploring Operation: 35/5=7, Resulting Numbers: [36, 7]
Generated Node #0,3,2: 62:[36, 7] Operation: 35/5=7
Exploring Operation: 36-35=1, Resulting Numbers: [5, 1]
Generated Node #0,3,3: 62:[5, 1] Operation: 36-35=1
Exploring Operation: 35-5=30, Resulting Numbers: [36, 30]
Generated Node #0,3,4: 62:[36, 30] Operation: 35-5=30
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 62:[35, 31], Operations: ['20-15=5', '36-5=31']
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,62 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,62 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 #0,3,3
Current State: 62:[5, 1], Operations: ['20-15=5', '36-35=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,62 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 #0,3,4
Current State: 62:[36, 30], Operations: ['20-15=5', '35-5=30']
Exploring Operation: 36*30=1080, Resulting Numbers: [1080]
1080,62 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,62 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 #0,3,2
Current State: 62:[36, 7], Operations: ['20-15=5', '35/5=7']
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,62 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,62 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 #0,3,0
Current State: 62:[5, 71], Operations: ['20-15=5', '35+36=71']
Exploring Operation: 5*71=355, Resulting Numbers: [355]
355,62 unequal: No Solution
Exploring Operation: 5+71=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,62 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: 62:[35, 36, 35], Operations: ['15+20=35']
Exploring Operation: 36-35=1, Resulting Numbers: [35, 1]
Generated Node #0,1,0: 62:[35, 1] Operation: 36-35=1
Exploring Operation: 35/35=1, Resulting Numbers: [36, 1]
Generated Node #0,1,1: 62:[36, 1] Operation: 35/35=1
Exploring Operation: 35+36=71, Resulting Numbers: [35, 71]
Generated Node #0,1,2: 62:[35, 71] Operation: 35+36=71
Exploring Operation: 36-35=1, Resulting Numbers: [35, 1]
Generated Node #0,1,3: 62:[35, 1] Operation: 36-35=1
Exploring Operation: 35-35=0, Resulting Numbers: [36, 0]
Generated Node #0,1,4: 62:[36, 0] Operation: 35-35=0
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[35, 1], Operations: ['15+20=35', '36-35=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,62 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 #0,1,3
Current State: 62:[35, 1], Operations: ['15+20=35', '36-35=1']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,62 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:[36, 1], Operations: ['15+20=35', '35/35=1']
Exploring Operation: 36+1=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,62 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 #0,1,4
Current State: 62:[36, 0], Operations: ['15+20=35', '35-35=0']
Exploring Operation: 36+0=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 36*0=0, Resulting Numbers: [0]
0,62 unequal: No Solution
Exploring Operation: 36-0=36, Resulting Numbers: [36]
36,62 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 #0,1,2
Current State: 62:[35, 71], Operations: ['15+20=35', '35+36=71']
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 35*71=2485, Resulting Numbers: [2485]
2485,62 unequal: No Solution
Exploring Operation: 35+71=106, Resulting Numbers: [106]
106,62 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: 62:[35, 15, 56], Operations: ['20+36=56']
Exploring Operation: 56-15=41, Resulting Numbers: [35, 41]
Generated Node #0,0,0: 62:[35, 41] Operation: 56-15=41
Exploring Operation: 35-15=20, Resulting Numbers: [56, 20]
Generated Node #0,0,1: 62:[56, 20] Operation: 35-15=20
Exploring Operation: 15+56=71, Resulting Numbers: [35, 71]
Generated Node #0,0,2: 62:[35, 71] Operation: 15+56=71
Exploring Operation: 56-35=21, Resulting Numbers: [15, 21]
Generated Node #0,0,3: 62:[15, 21] Operation: 56-35=21
Exploring Operation: 35+15=50, Resulting Numbers: [56, 50]
Generated Node #0,0,4: 62:[56, 50] Operation: 35+15=50
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 62:[35, 71], Operations: ['20+36=56', '15+56=71']
Exploring Operation: 35+71=106, Resulting Numbers: [106]
106,62 unequal: No Solution
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 35*71=2485, Resulting Numbers: [2485]
2485,62 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 #0,0,0
Current State: 62:[35, 41], Operations: ['20+36=56', '56-15=41']
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,62 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,62 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 #0,0,1
Current State: 62:[56, 20], Operations: ['20+36=56', '35-15=20']
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,62 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 #0,0,4
Current State: 62:[56, 50], Operations: ['20+36=56', '35+15=50']
Exploring Operation: 56*50=2800, Resulting Numbers: [2800]
2800,62 unequal: No Solution
Exploring Operation: 56-50=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 56+50=106, Resulting Numbers: [106]
106,62 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 #0,0,3
Current State: 62:[15, 21], Operations: ['20+36=56', '56-35=21']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 15*21=315, Resulting Numbers: [315]
315,62 unequal: No Solution
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,62 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: 62:[15, 20, 1], Operations: ['36-35=1']
Exploring Operation: 15+20=35, Resulting Numbers: [1, 35]
Generated Node #0,2,0: 62:[1, 35] Operation: 15+20=35
Exploring Operation: 15-1=14, Resulting Numbers: [20, 14]
Generated Node #0,2,1: 62:[20, 14] Operation: 15-1=14
Exploring Operation: 15*1=15, Resulting Numbers: [20, 15]
Generated Node #0,2,2: 62:[20, 15] Operation: 15*1=15
Exploring Operation: 20-15=5, Resulting Numbers: [1, 5]
Generated Node #0,2,3: 62:[1, 5] Operation: 20-15=5
Exploring Operation: 20+1=21, Resulting Numbers: [15, 21]
Generated Node #0,2,4: 62:[15, 21] Operation: 20+1=21
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 62:[1, 5], Operations: ['36-35=1', '20-15=5']
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,62 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,62 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 #0,2,0
Current State: 62:[1, 35], Operations: ['36-35=1', '15+20=35']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,62 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 #0,2,1
Current State: 62:[20, 14], Operations: ['36-35=1', '15-1=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Exploring Operation: 20*14=280, Resulting Numbers: [280]
280,62 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 #0,2,4
Current State: 62:[15, 21], Operations: ['36-35=1', '20+1=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,62 unequal: No Solution
Exploring Operation: 15*21=315, Resulting Numbers: [315]
315,62 unequal: No Solution
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,62 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 #0,2,2
Current State: 62:[20, 15], Operations: ['36-35=1', '15*1=15']
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,62 unequal: No Solution
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,62 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,62 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: 62:[15, 36, 55], Operations: ['35+20=55']
Exploring Operation: 55-15=40, Resulting Numbers: [36, 40]
Generated Node #0,4,0: 62:[36, 40] Operation: 55-15=40
Exploring Operation: 36-15=21, Resulting Numbers: [55, 21]
Generated Node #0,4,1: 62:[55, 21] Operation: 36-15=21
Exploring Operation: 15+55=70, Resulting Numbers: [36, 70]
Generated Node #0,4,2: 62:[36, 70] Operation: 15+55=70
Exploring Operation: 55-36=19, Resulting Numbers: [15, 19]
Generated Node #0,4,3: 62:[15, 19] Operation: 55-36=19
Exploring Operation: 15+36=51, Resulting Numbers: [55, 51]
Generated Node #0,4,4: 62:[55, 51] Operation: 15+36=51
Moving to Node #0,4,2
Current State: 62:[36, 70], Operations: ['35+20=55', '15+55=70']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,62 unequal: No Solution
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,62 unequal: No Solution
Moving to Node #0,4,0
Current State: 62:[36, 40], Operations: ['35+20=55', '55-15=40']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,62 unequal: No Solution
Moving to Node #0,4,1
Current State: 62:[55, 21], Operations: ['35+20=55', '36-15=21']
Exploring Operation: 55-21=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 55+21=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 55*21=1155, Resulting Numbers: [1155]
1155,62 unequal: No Solution
Moving to Node #0,4,4
Current State: 62:[55, 51], Operations: ['35+20=55', '15+36=51']
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,62 unequal: No Solution
Exploring Operation: 55*51=2805, Resulting Numbers: [2805]
2805,62 unequal: No Solution
Exploring Operation: 55+51=106, Resulting Numbers: [106]
106,62 unequal: No Solution
Moving to Node #0,4,3
Current State: 62:[15, 19], Operations: ['35+20=55', '55-36=19']
Exploring Operation: 15+19=34, Resulting Numbers: [34]
34,62 unequal: No Solution
Exploring Operation: 15*19=285, Resulting Numbers: [285]
285,62 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
30,
50,
42,
49
] | 21 | [
"50*42=2100",
"2100/30=70",
"70-49=21"
] | Current State: 21:[30, 50, 42, 49], Operations: []
Exploring Operation: 50*42=2100, Resulting Numbers: [30, 49, 2100]
Generated Node #2: [30, 49, 2100] from Operation: 50*42=2100
Current State: 21:[30, 49, 2100], Operations: ['50*42=2100']
Exploring Operation: 2100/30=70, Resulting Numbers: [49, 70]
Generated Node #3: [49, 70] from Operation: 2100/30=70
Current State: 21:[49, 70], Operations: ['50*42=2100', '2100/30=70']
Exploring Operation: 70-49=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[30, 50, 42, 49], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [30, 49, 8]
Generated Node #0,0: 21:[30, 49, 8] Operation: 50-42=8
Exploring Operation: 50-49=1, Resulting Numbers: [30, 42, 1]
Generated Node #0,1: 21:[30, 42, 1] Operation: 50-49=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[30, 42, 1], Operations: ['50-49=1']
Exploring Operation: 30-1=29, Resulting Numbers: [42, 29]
Generated Node #0,1,0: 21:[42, 29] Operation: 30-1=29
Exploring Operation: 42-30=12, Resulting Numbers: [1, 12]
Generated Node #0,1,1: 21:[1, 12] Operation: 42-30=12
Moving to Node #0,1,1
Current State: 21:[1, 12], Operations: ['50-49=1', '42-30=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[42, 29], Operations: ['50-49=1', '30-1=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,21 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,21 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 #0,0
Current State: 21:[30, 49, 8], Operations: ['50-42=8']
Exploring Operation: 30-8=22, Resulting Numbers: [49, 22]
Generated Node #0,0,0: 21:[49, 22] Operation: 30-8=22
Exploring Operation: 49-30=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 21:[8, 19] Operation: 49-30=19
Moving to Node #0,0,1
Current State: 21:[8, 19], Operations: ['50-42=8', '49-30=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[49, 22], Operations: ['50-42=8', '30-8=22']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,21 unequal: No Solution
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
21,
23,
85,
83
] | 74 | [
"21*85=1785",
"1785-83=1702",
"1702/23=74"
] | Current State: 74:[21, 23, 85, 83], Operations: []
Exploring Operation: 21*85=1785, Resulting Numbers: [23, 83, 1785]
Generated Node #2: [23, 83, 1785] from Operation: 21*85=1785
Current State: 74:[23, 83, 1785], Operations: ['21*85=1785']
Exploring Operation: 1785-83=1702, Resulting Numbers: [23, 1702]
Generated Node #3: [23, 1702] from Operation: 1785-83=1702
Current State: 74:[23, 1702], Operations: ['21*85=1785', '1785-83=1702']
Exploring Operation: 1702/23=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[21, 23, 85, 83], Operations: []
Exploring Operation: 21+23=44, Resulting Numbers: [85, 83, 44]
Generated Node #0,0: 74:[85, 83, 44] Operation: 21+23=44
Exploring Operation: 85-21=64, Resulting Numbers: [23, 83, 64]
Generated Node #0,1: 74:[23, 83, 64] Operation: 85-21=64
Exploring Operation: 23-21=2, Resulting Numbers: [85, 83, 2]
Generated Node #0,2: 74:[85, 83, 2] Operation: 23-21=2
Exploring Operation: 83-21=62, Resulting Numbers: [23, 85, 62]
Generated Node #0,3: 74:[23, 85, 62] Operation: 83-21=62
Exploring Operation: 85-83=2, Resulting Numbers: [21, 23, 2]
Generated Node #0,4: 74:[21, 23, 2] Operation: 85-83=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[85, 83, 2], Operations: ['23-21=2']
Exploring Operation: 83-2=81, Resulting Numbers: [85, 81]
Generated Node #0,2,0: 74:[85, 81] Operation: 83-2=81
Exploring Operation: 85-2=83, Resulting Numbers: [83, 83]
Generated Node #0,2,1: 74:[83, 83] Operation: 85-2=83
Exploring Operation: 83+2=85, Resulting Numbers: [85, 85]
Generated Node #0,2,2: 74:[85, 85] Operation: 83+2=85
Exploring Operation: 85+2=87, Resulting Numbers: [83, 87]
Generated Node #0,2,3: 74:[83, 87] Operation: 85+2=87
Exploring Operation: 85-83=2, Resulting Numbers: [2, 2]
Generated Node #0,2,4: 74:[2, 2] Operation: 85-83=2
Moving to Node #0,2,4
Current State: 74:[2, 2], Operations: ['23-21=2', '85-83=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[83, 83], Operations: ['23-21=2', '85-2=83']
Exploring Operation: 83-83=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 83/83=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 83+83=166, Resulting Numbers: [166]
166,74 unequal: No Solution
Exploring Operation: 83*83=6889, Resulting Numbers: [6889]
6889,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[85, 81], Operations: ['23-21=2', '83-2=81']
Exploring Operation: 85+81=166, Resulting Numbers: [166]
166,74 unequal: No Solution
Exploring Operation: 85*81=6885, Resulting Numbers: [6885]
6885,74 unequal: No Solution
Exploring Operation: 85-81=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[85, 85], Operations: ['23-21=2', '83+2=85']
Exploring Operation: 85/85=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 85*85=7225, Resulting Numbers: [7225]
7225,74 unequal: No Solution
Exploring Operation: 85+85=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 85-85=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[83, 87], Operations: ['23-21=2', '85+2=87']
Exploring Operation: 87-83=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 83*87=7221, Resulting Numbers: [7221]
7221,74 unequal: No Solution
Exploring Operation: 83+87=170, Resulting Numbers: [170]
170,74 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
Current State: 74:[85, 83, 44], Operations: ['21+23=44']
Exploring Operation: 85+44=129, Resulting Numbers: [83, 129]
Generated Node #0,0,0: 74:[83, 129] Operation: 85+44=129
Exploring Operation: 85-83=2, Resulting Numbers: [44, 2]
Generated Node #0,0,1: 74:[44, 2] Operation: 85-83=2
Exploring Operation: 83-44=39, Resulting Numbers: [85, 39]
Generated Node #0,0,2: 74:[85, 39] Operation: 83-44=39
Exploring Operation: 85-44=41, Resulting Numbers: [83, 41]
Generated Node #0,0,3: 74:[83, 41] Operation: 85-44=41
Exploring Operation: 83+44=127, Resulting Numbers: [85, 127]
Generated Node #0,0,4: 74:[85, 127] Operation: 83+44=127
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[44, 2], Operations: ['21+23=44', '85-83=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,74 unequal: No Solution
No 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: 74:[85, 39], Operations: ['21+23=44', '83-44=39']
Exploring Operation: 85+39=124, Resulting Numbers: [124]
124,74 unequal: No Solution
Exploring Operation: 85*39=3315, Resulting Numbers: [3315]
3315,74 unequal: No Solution
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,74 unequal: No Solution
No 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: 74:[83, 41], Operations: ['21+23=44', '85-44=41']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 83+41=124, Resulting Numbers: [124]
124,74 unequal: No Solution
Exploring Operation: 83*41=3403, Resulting Numbers: [3403]
3403,74 unequal: No Solution
No 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: 74:[83, 129], Operations: ['21+23=44', '85+44=129']
Exploring Operation: 129-83=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 83+129=212, Resulting Numbers: [212]
212,74 unequal: No Solution
Exploring Operation: 83*129=10707, Resulting Numbers: [10707]
10707,74 unequal: No Solution
No 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: 74:[85, 127], Operations: ['21+23=44', '83+44=127']
Exploring Operation: 85*127=10795, Resulting Numbers: [10795]
10795,74 unequal: No Solution
Exploring Operation: 85+127=212, Resulting Numbers: [212]
212,74 unequal: No Solution
Exploring Operation: 127-85=42, Resulting Numbers: [42]
42,74 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: 74:[21, 23, 2], Operations: ['85-83=2']
Exploring Operation: 21+23=44, Resulting Numbers: [2, 44]
Generated Node #0,4,0: 74:[2, 44] Operation: 21+23=44
Exploring Operation: 23*2=46, Resulting Numbers: [21, 46]
Generated Node #0,4,1: 74:[21, 46] Operation: 23*2=46
Exploring Operation: 21*2=42, Resulting Numbers: [23, 42]
Generated Node #0,4,2: 74:[23, 42] Operation: 21*2=42
Exploring Operation: 23-21=2, Resulting Numbers: [2, 2]
Generated Node #0,4,3: 74:[2, 2] Operation: 23-21=2
Exploring Operation: 21+2=23, Resulting Numbers: [23, 23]
Generated Node #0,4,4: 74:[23, 23] Operation: 21+2=23
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 74:[2, 2], Operations: ['85-83=2', '23-21=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
No 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: 74:[2, 44], Operations: ['85-83=2', '21+23=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,74 unequal: No Solution
No 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: 74:[23, 42], Operations: ['85-83=2', '21*2=42']
Exploring Operation: 23*42=966, Resulting Numbers: [966]
966,74 unequal: No Solution
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,74 unequal: No Solution
No 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: 74:[21, 46], Operations: ['85-83=2', '23*2=46']
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,74 unequal: No Solution
Exploring Operation: 21*46=966, Resulting Numbers: [966]
966,74 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No 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: 74:[23, 23], Operations: ['85-83=2', '21+2=23']
Exploring Operation: 23-23=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 23*23=529, Resulting Numbers: [529]
529,74 unequal: No Solution
Exploring Operation: 23+23=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 23/23=1, Resulting Numbers: [1]
1,74 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: 74:[23, 83, 64], Operations: ['85-21=64']
Exploring Operation: 83-64=19, Resulting Numbers: [23, 19]
Generated Node #0,1,0: 74:[23, 19] Operation: 83-64=19
Exploring Operation: 83-23=60, Resulting Numbers: [64, 60]
Generated Node #0,1,1: 74:[64, 60] Operation: 83-23=60
Exploring Operation: 64-23=41, Resulting Numbers: [83, 41]
Generated Node #0,1,2: 74:[83, 41] Operation: 64-23=41
Exploring Operation: 23+83=106, Resulting Numbers: [64, 106]
Generated Node #0,1,3: 74:[64, 106] Operation: 23+83=106
Exploring Operation: 23+64=87, Resulting Numbers: [83, 87]
Generated Node #0,1,4: 74:[83, 87] Operation: 23+64=87
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 74:[83, 41], Operations: ['85-21=64', '64-23=41']
Exploring Operation: 83*41=3403, Resulting Numbers: [3403]
3403,74 unequal: No Solution
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 83+41=124, Resulting Numbers: [124]
124,74 unequal: No Solution
No 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: 74:[83, 87], Operations: ['85-21=64', '23+64=87']
Exploring Operation: 87-83=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 83+87=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 83*87=7221, Resulting Numbers: [7221]
7221,74 unequal: No Solution
No 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: 74:[64, 60], Operations: ['85-21=64', '83-23=60']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,74 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,74 unequal: No Solution
No 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: 74:[23, 19], Operations: ['85-21=64', '83-64=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,74 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,74 unequal: No Solution
No 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: 74:[64, 106], Operations: ['85-21=64', '23+83=106']
Exploring Operation: 64*106=6784, Resulting Numbers: [6784]
6784,74 unequal: No Solution
Exploring Operation: 106-64=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Exploring Operation: 64+106=170, Resulting Numbers: [170]
170,74 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: 74:[23, 85, 62], Operations: ['83-21=62']
Exploring Operation: 85-62=23, Resulting Numbers: [23, 23]
Generated Node #0,3,0: 74:[23, 23] Operation: 85-62=23
Exploring Operation: 23+62=85, Resulting Numbers: [85, 85]
Generated Node #0,3,1: 74:[85, 85] Operation: 23+62=85
Exploring Operation: 85-23=62, Resulting Numbers: [62, 62]
Generated Node #0,3,2: 74:[62, 62] Operation: 85-23=62
Exploring Operation: 23+85=108, Resulting Numbers: [62, 108]
Generated Node #0,3,3: 74:[62, 108] Operation: 23+85=108
Exploring Operation: 62-23=39, Resulting Numbers: [85, 39]
Generated Node #0,3,4: 74:[85, 39] Operation: 62-23=39
Moving to Node #0,3,4
Current State: 74:[85, 39], Operations: ['83-21=62', '62-23=39']
Exploring Operation: 85*39=3315, Resulting Numbers: [3315]
3315,74 unequal: No Solution
Exploring Operation: 85+39=124, Resulting Numbers: [124]
124,74 unequal: No Solution
Exploring Operation: 85-39=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[85, 85], Operations: ['83-21=62', '23+62=85']
Exploring Operation: 85+85=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 85-85=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 85*85=7225, Resulting Numbers: [7225]
7225,74 unequal: No Solution
Exploring Operation: 85/85=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[62, 62], Operations: ['83-21=62', '85-23=62']
Exploring Operation: 62-62=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 62/62=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 62+62=124, Resulting Numbers: [124]
124,74 unequal: No Solution
Exploring Operation: 62*62=3844, Resulting Numbers: [3844]
3844,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[23, 23], Operations: ['83-21=62', '85-62=23']
Exploring Operation: 23/23=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 23-23=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Exploring Operation: 23*23=529, Resulting Numbers: [529]
529,74 unequal: No Solution
Exploring Operation: 23+23=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Moving to Node #0,3,3
Current State: 74:[62, 108], Operations: ['83-21=62', '23+85=108']
Exploring Operation: 62+108=170, Resulting Numbers: [170]
170,74 unequal: No Solution
Exploring Operation: 108-62=46, Resulting Numbers: [46]
46,74 unequal: No Solution
Exploring Operation: 62*108=6696, Resulting Numbers: [6696]
6696,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
64,
62,
48,
62
] | 17 | [
"64-62=2",
"62/2=31",
"48-31=17"
] | Current State: 17:[64, 62, 48, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [48, 2]
Generated Node #2: [48, 2] from Operation: 64-62=2
Current State: 17:[48, 2], Operations: ['64-62=2']
Exploring Operation: 62/2=31, Resulting Numbers: [48, 31]
Generated Node #3: [48, 31] from Operation: 62/2=31
Current State: 17:[48, 31], Operations: ['64-62=2', '62/2=31']
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[64, 62, 48, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [48, 62, 2]
Generated Node #0,0: 17:[48, 62, 2] Operation: 64-62=2
Moving to Node #0,0
Current State: 17:[48, 62, 2], Operations: ['64-62=2']
Exploring Operation: 62-48=14, Resulting Numbers: [2, 14]
Generated Node #0,0,0: 17:[2, 14] Operation: 62-48=14
Moving to Node #0,0,0
Current State: 17:[2, 14], Operations: ['64-62=2', '62-48=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,17 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
22,
30,
15,
28
] | 65 | [
"22+30=52",
"28-15=13",
"52+13=65"
] | Current State: 65:[22, 30, 15, 28], Operations: []
Exploring Operation: 22+30=52, Resulting Numbers: [15, 28, 52]
Generated Node #2: [15, 28, 52] from Operation: 22+30=52
Current State: 65:[15, 28, 52], Operations: ['22+30=52']
Exploring Operation: 28-15=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 28-15=13
Current State: 65:[52, 13], Operations: ['22+30=52', '28-15=13']
Exploring Operation: 52+13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[22, 30, 15, 28], Operations: []
Exploring Operation: 30-15=15, Resulting Numbers: [22, 28, 15]
Generated Node #0,0: 65:[22, 28, 15] Operation: 30-15=15
Exploring Operation: 30+28=58, Resulting Numbers: [22, 15, 58]
Generated Node #0,1: 65:[22, 15, 58] Operation: 30+28=58
Exploring Operation: 30-28=2, Resulting Numbers: [22, 15, 2]
Generated Node #0,2: 65:[22, 15, 2] Operation: 30-28=2
Exploring Operation: 30-22=8, Resulting Numbers: [15, 28, 8]
Generated Node #0,3: 65:[15, 28, 8] Operation: 30-22=8
Exploring Operation: 28-22=6, Resulting Numbers: [30, 15, 6]
Generated Node #0,4: 65:[30, 15, 6] Operation: 28-22=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[22, 15, 2], Operations: ['30-28=2']
Exploring Operation: 22/2=11, Resulting Numbers: [15, 11]
Generated Node #0,2,0: 65:[15, 11] Operation: 22/2=11
Exploring Operation: 22-15=7, Resulting Numbers: [2, 7]
Generated Node #0,2,1: 65:[2, 7] Operation: 22-15=7
Exploring Operation: 22+2=24, Resulting Numbers: [15, 24]
Generated Node #0,2,2: 65:[15, 24] Operation: 22+2=24
Exploring Operation: 15-2=13, Resulting Numbers: [22, 13]
Generated Node #0,2,3: 65:[22, 13] Operation: 15-2=13
Exploring Operation: 22-2=20, Resulting Numbers: [15, 20]
Generated Node #0,2,4: 65:[15, 20] Operation: 22-2=20
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 65:[15, 11], Operations: ['30-28=2', '22/2=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,65 unequal: No Solution
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,65 unequal: No Solution
No 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: 65:[2, 7], Operations: ['30-28=2', '22-15=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,65 unequal: No Solution
No 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: 65:[22, 13], Operations: ['30-28=2', '15-2=13']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,65 unequal: No Solution
No 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: 65:[15, 20], Operations: ['30-28=2', '22-2=20']
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,65 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,65 unequal: No Solution
No 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: 65:[15, 24], Operations: ['30-28=2', '22+2=24']
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,65 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,65 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,65 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: 65:[22, 15, 58], Operations: ['30+28=58']
Exploring Operation: 15+58=73, Resulting Numbers: [22, 73]
Generated Node #0,1,0: 65:[22, 73] Operation: 15+58=73
Exploring Operation: 22-15=7, Resulting Numbers: [58, 7]
Generated Node #0,1,1: 65:[58, 7] Operation: 22-15=7
Exploring Operation: 22+15=37, Resulting Numbers: [58, 37]
Generated Node #0,1,2: 65:[58, 37] Operation: 22+15=37
Exploring Operation: 58-22=36, Resulting Numbers: [15, 36]
Generated Node #0,1,3: 65:[15, 36] Operation: 58-22=36
Exploring Operation: 22+58=80, Resulting Numbers: [15, 80]
Generated Node #0,1,4: 65:[15, 80] Operation: 22+58=80
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[58, 7], Operations: ['30+28=58', '22-15=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[22, 30, 15, 28], Operations: []
Exploring Operation: 30+28=58, Resulting Numbers: [22, 15, 58]
Generated Node #0,1: 65:[22, 15, 58] Operation: 30+28=58
Moving to Node #0,1
Current State: 65:[22, 15, 58], Operations: ['30+28=58']
Exploring Operation: 22-15=7, Resulting Numbers: [58, 7]
Generated Node #0,1,1: 65:[58, 7] Operation: 22-15=7
Moving to Node #0,1,1
Current State: 65:[58, 7], Operations: ['30+28=58', '22-15=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
2,
71,
42,
47
] | 81 | [
"47-42=5",
"2*5=10",
"71+10=81"
] | Current State: 81:[2, 71, 42, 47], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [2, 71, 5]
Generated Node #2: [2, 71, 5] from Operation: 47-42=5
Current State: 81:[2, 71, 5], Operations: ['47-42=5']
Exploring Operation: 2*5=10, Resulting Numbers: [71, 10]
Generated Node #3: [71, 10] from Operation: 2*5=10
Current State: 81:[71, 10], Operations: ['47-42=5', '2*5=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[2, 71, 42, 47], Operations: []
Exploring Operation: 71-47=24, Resulting Numbers: [2, 42, 24]
Generated Node #0,0: 81:[2, 42, 24] Operation: 71-47=24
Exploring Operation: 42+47=89, Resulting Numbers: [2, 71, 89]
Generated Node #0,1: 81:[2, 71, 89] Operation: 42+47=89
Exploring Operation: 47-42=5, Resulting Numbers: [2, 71, 5]
Generated Node #0,2: 81:[2, 71, 5] Operation: 47-42=5
Moving to Node #0,2
Current State: 81:[2, 71, 5], Operations: ['47-42=5']
Exploring Operation: 2+71=73, Resulting Numbers: [5, 73]
Generated Node #0,2,0: 81:[5, 73] Operation: 2+71=73
Exploring Operation: 71+5=76, Resulting Numbers: [2, 76]
Generated Node #0,2,1: 81:[2, 76] Operation: 71+5=76
Exploring Operation: 5-2=3, Resulting Numbers: [71, 3]
Generated Node #0,2,2: 81:[71, 3] Operation: 5-2=3
Moving to Node #0,0
Current State: 81:[2, 42, 24], Operations: ['71-47=24']
Exploring Operation: 2*42=84, Resulting Numbers: [24, 84]
Generated Node #0,0,0: 81:[24, 84] Operation: 2*42=84
Exploring Operation: 42/2=21, Resulting Numbers: [24, 21]
Generated Node #0,0,1: 81:[24, 21] Operation: 42/2=21
Exploring Operation: 42-24=18, Resulting Numbers: [2, 18]
Generated Node #0,0,2: 81:[2, 18] Operation: 42-24=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[24, 84], Operations: ['71-47=24', '2*42=84']
Exploring Operation: 24*84=2016, Resulting Numbers: [2016]
2016,81 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,81 unequal: No Solution
Exploring Operation: 24+84=108, Resulting Numbers: [108]
108,81 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 #0,0,1
Current State: 81:[24, 21], Operations: ['71-47=24', '42/2=21']
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,81 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,81 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,81 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 #0,0,2
Current State: 81:[2, 18], Operations: ['71-47=24', '42-24=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,81 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: 81:[2, 71, 89], Operations: ['42+47=89']
Exploring Operation: 89-2=87, Resulting Numbers: [71, 87]
Generated Node #0,1,0: 81:[71, 87] Operation: 89-2=87
Exploring Operation: 89-71=18, Resulting Numbers: [2, 18]
Generated Node #0,1,1: 81:[2, 18] Operation: 89-71=18
Exploring Operation: 2+71=73, Resulting Numbers: [89, 73]
Generated Node #0,1,2: 81:[89, 73] Operation: 2+71=73
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[2, 18], Operations: ['42+47=89', '89-71=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,81 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 #0,1,0
Current State: 81:[71, 87], Operations: ['42+47=89', '89-2=87']
Exploring Operation: 87-71=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 71*87=6177, Resulting Numbers: [6177]
6177,81 unequal: No Solution
Exploring Operation: 71+87=158, Resulting Numbers: [158]
158,81 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 #0,1,2
Current State: 81:[89, 73], Operations: ['42+47=89', '2+71=73']
Exploring Operation: 89+73=162, Resulting Numbers: [162]
162,81 unequal: No Solution
Exploring Operation: 89-73=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 89*73=6497, Resulting Numbers: [6497]
6497,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 81:[2, 76], Operations: ['47-42=5', '71+5=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[5, 73], Operations: ['47-42=5', '2+71=73']
Exploring Operation: 5+73=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,81 unequal: No Solution
Exploring Operation: 5*73=365, Resulting Numbers: [365]
365,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[71, 3], Operations: ['47-42=5', '5-2=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,81 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,81 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
50,
85,
63,
39
] | 60 | [
"63+39=102",
"50*102=5100",
"5100/85=60"
] | Current State: 60:[50, 85, 63, 39], Operations: []
Exploring Operation: 63+39=102, Resulting Numbers: [50, 85, 102]
Generated Node #2: [50, 85, 102] from Operation: 63+39=102
Current State: 60:[50, 85, 102], Operations: ['63+39=102']
Exploring Operation: 50*102=5100, Resulting Numbers: [85, 5100]
Generated Node #3: [85, 5100] from Operation: 50*102=5100
Current State: 60:[85, 5100], Operations: ['63+39=102', '50*102=5100']
Exploring Operation: 5100/85=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[50, 85, 63, 39], Operations: []
Exploring Operation: 85-50=35, Resulting Numbers: [63, 39, 35]
Generated Node #0,0: 60:[63, 39, 35] Operation: 85-50=35
Exploring Operation: 85-63=22, Resulting Numbers: [50, 39, 22]
Generated Node #0,1: 60:[50, 39, 22] Operation: 85-63=22
Moving to Node #0,0
Current State: 60:[63, 39, 35], Operations: ['85-50=35']
Exploring Operation: 39-35=4, Resulting Numbers: [63, 4]
Generated Node #0,0,0: 60:[63, 4] Operation: 39-35=4
Exploring Operation: 63-39=24, Resulting Numbers: [35, 24]
Generated Node #0,0,1: 60:[35, 24] Operation: 63-39=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[63, 4], Operations: ['85-50=35', '39-35=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,60 unequal: No Solution
No 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: 60:[35, 24], Operations: ['85-50=35', '63-39=24']
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,60 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,60 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: 60:[50, 39, 22], Operations: ['85-63=22']
Exploring Operation: 50-39=11, Resulting Numbers: [22, 11]
Generated Node #0,1,0: 60:[22, 11] Operation: 50-39=11
Exploring Operation: 50-22=28, Resulting Numbers: [39, 28]
Generated Node #0,1,1: 60:[39, 28] Operation: 50-22=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[22, 11], Operations: ['85-63=22', '50-39=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,60 unequal: No Solution
No 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: 60:[39, 28], Operations: ['85-63=22', '50-22=28']
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Exploring Operation: 39-28=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 | sum_heuristic |
[
80,
81,
8,
89
] | 98 | [
"81-80=1",
"8+89=97",
"1+97=98"
] | Current State: 98:[80, 81, 8, 89], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [8, 89, 1]
Generated Node #2: [8, 89, 1] from Operation: 81-80=1
Current State: 98:[8, 89, 1], Operations: ['81-80=1']
Exploring Operation: 8+89=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 8+89=97
Current State: 98:[1, 97], Operations: ['81-80=1', '8+89=97']
Exploring Operation: 1+97=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[80, 81, 8, 89], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [8, 89, 1]
Generated Node #0,0: 98:[8, 89, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 98:[8, 89, 1], Operations: ['81-80=1']
Exploring Operation: 8+89=97, Resulting Numbers: [1, 97]
Generated Node #0,0,0: 98:[1, 97] Operation: 8+89=97
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[1, 97], Operations: ['81-80=1', '8+89=97']
Exploring Operation: 1+97=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[80, 81, 8, 89], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [8, 89, 1]
Generated Node #0,0: 98:[8, 89, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 98:[8, 89, 1], Operations: ['81-80=1']
Exploring Operation: 8+89=97, Resulting Numbers: [1, 97]
Generated Node #0,0,0: 98:[1, 97] Operation: 8+89=97
Moving to Node #0,0,0
Current State: 98:[1, 97], Operations: ['81-80=1', '8+89=97']
Exploring Operation: 1+97=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
54,
49,
33,
27
] | 30 | [
"54-49=5",
"33-27=6",
"5*6=30"
] | Current State: 30:[54, 49, 33, 27], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [33, 27, 5]
Generated Node #2: [33, 27, 5] from Operation: 54-49=5
Current State: 30:[33, 27, 5], Operations: ['54-49=5']
Exploring Operation: 33-27=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 33-27=6
Current State: 30:[5, 6], Operations: ['54-49=5', '33-27=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[54, 49, 33, 27], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [54, 27, 16]
Generated Node #0,0: 30:[54, 27, 16] Operation: 49-33=16
Exploring Operation: 54/27=2, Resulting Numbers: [49, 33, 2]
Generated Node #0,1: 30:[49, 33, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [49, 33, 27]
Generated Node #0,2: 30:[49, 33, 27] Operation: 54-27=27
Exploring Operation: 54-33=21, Resulting Numbers: [49, 27, 21]
Generated Node #0,3: 30:[49, 27, 21] Operation: 54-33=21
Exploring Operation: 54-49=5, Resulting Numbers: [33, 27, 5]
Generated Node #0,4: 30:[33, 27, 5] Operation: 54-49=5
Moving to Node #0,4
Current State: 30:[33, 27, 5], Operations: ['54-49=5']
Exploring Operation: 33+5=38, Resulting Numbers: [27, 38]
Generated Node #0,4,0: 30:[27, 38] Operation: 33+5=38
Exploring Operation: 27-5=22, Resulting Numbers: [33, 22]
Generated Node #0,4,1: 30:[33, 22] Operation: 27-5=22
Exploring Operation: 27+5=32, Resulting Numbers: [33, 32]
Generated Node #0,4,2: 30:[33, 32] Operation: 27+5=32
Exploring Operation: 33-27=6, Resulting Numbers: [5, 6]
Generated Node #0,4,3: 30:[5, 6] Operation: 33-27=6
Exploring Operation: 33-5=28, Resulting Numbers: [27, 28]
Generated Node #0,4,4: 30:[27, 28] Operation: 33-5=28
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 30:[5, 6], Operations: ['54-49=5', '33-27=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[54, 49, 33, 27], Operations: []
Exploring Operation: 54-49=5, Resulting Numbers: [33, 27, 5]
Generated Node #0,4: 30:[33, 27, 5] Operation: 54-49=5
Moving to Node #0,4
Current State: 30:[33, 27, 5], Operations: ['54-49=5']
Exploring Operation: 33-27=6, Resulting Numbers: [5, 6]
Generated Node #0,4,3: 30:[5, 6] Operation: 33-27=6
Moving to Node #0,4,3
Current State: 30:[5, 6], Operations: ['54-49=5', '33-27=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
25,
3,
85,
32
] | 64 | [
"32-25=7",
"3*7=21",
"85-21=64"
] | Current State: 64:[25, 3, 85, 32], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [3, 85, 7]
Generated Node #2: [3, 85, 7] from Operation: 32-25=7
Current State: 64:[3, 85, 7], Operations: ['32-25=7']
Exploring Operation: 3*7=21, Resulting Numbers: [85, 21]
Generated Node #3: [85, 21] from Operation: 3*7=21
Current State: 64:[85, 21], Operations: ['32-25=7', '3*7=21']
Exploring Operation: 85-21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[25, 3, 85, 32], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [3, 32, 60]
Generated Node #0,0: 64:[3, 32, 60] Operation: 85-25=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[3, 32, 60], Operations: ['85-25=60']
Exploring Operation: 3+60=63, Resulting Numbers: [32, 63]
Generated Node #0,0,0: 64:[32, 63] Operation: 3+60=63
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[32, 63], Operations: ['85-25=60', '3+60=63']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,64 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 |
[
73,
58,
84,
26
] | 95 | [
"73-58=15",
"84+26=110",
"110-15=95"
] | Current State: 95:[73, 58, 84, 26], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [84, 26, 15]
Generated Node #2: [84, 26, 15] from Operation: 73-58=15
Current State: 95:[84, 26, 15], Operations: ['73-58=15']
Exploring Operation: 84+26=110, Resulting Numbers: [15, 110]
Generated Node #3: [15, 110] from Operation: 84+26=110
Current State: 95:[15, 110], Operations: ['73-58=15', '84+26=110']
Exploring Operation: 110-15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[73, 58, 84, 26], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [84, 26, 15]
Generated Node #0,0: 95:[84, 26, 15] Operation: 73-58=15
Exploring Operation: 84-58=26, Resulting Numbers: [73, 26, 26]
Generated Node #0,1: 95:[73, 26, 26] Operation: 84-58=26
Moving to Node #0,0
Current State: 95:[84, 26, 15], Operations: ['73-58=15']
Exploring Operation: 84+15=99, Resulting Numbers: [26, 99]
Generated Node #0,0,0: 95:[26, 99] Operation: 84+15=99
Exploring Operation: 26-15=11, Resulting Numbers: [84, 11]
Generated Node #0,0,1: 95:[84, 11] Operation: 26-15=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[26, 99], Operations: ['73-58=15', '84+15=99']
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 26+99=125, Resulting Numbers: [125]
125,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[84, 11], Operations: ['73-58=15', '26-15=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[73, 58, 84, 26], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [84, 26, 15]
Generated Node #0,0: 95:[84, 26, 15] Operation: 73-58=15
Moving to Node #0,0
Current State: 95:[84, 26, 15], Operations: ['73-58=15']
Exploring Operation: 26-15=11, Resulting Numbers: [84, 11]
Generated Node #0,0,1: 95:[84, 11] Operation: 26-15=11
Moving to Node #0,0,1
Current State: 95:[84, 11], Operations: ['73-58=15', '26-15=11']
Exploring Operation: 84+11=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
12,
30,
90,
57
] | 47 | [
"30+90=120",
"120/12=10",
"57-10=47"
] | Current State: 47:[12, 30, 90, 57], Operations: []
Exploring Operation: 30+90=120, Resulting Numbers: [12, 57, 120]
Generated Node #2: [12, 57, 120] from Operation: 30+90=120
Current State: 47:[12, 57, 120], Operations: ['30+90=120']
Exploring Operation: 120/12=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 120/12=10
Current State: 47:[57, 10], Operations: ['30+90=120', '120/12=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[12, 30, 90, 57], Operations: []
Exploring Operation: 57-12=45, Resulting Numbers: [30, 90, 45]
Generated Node #0,0: 47:[30, 90, 45] Operation: 57-12=45
Exploring Operation: 90-30=60, Resulting Numbers: [12, 57, 60]
Generated Node #0,1: 47:[12, 57, 60] Operation: 90-30=60
Exploring Operation: 12+30=42, Resulting Numbers: [90, 57, 42]
Generated Node #0,2: 47:[90, 57, 42] Operation: 12+30=42
Exploring Operation: 90-12=78, Resulting Numbers: [30, 57, 78]
Generated Node #0,3: 47:[30, 57, 78] Operation: 90-12=78
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[12, 57, 60], Operations: ['90-30=60']
Exploring Operation: 60-12=48, Resulting Numbers: [57, 48]
Generated Node #0,1,0: 47:[57, 48] Operation: 60-12=48
Exploring Operation: 12+57=69, Resulting Numbers: [60, 69]
Generated Node #0,1,1: 47:[60, 69] Operation: 12+57=69
Exploring Operation: 12+60=72, Resulting Numbers: [57, 72]
Generated Node #0,1,2: 47:[57, 72] Operation: 12+60=72
Exploring Operation: 57-12=45, Resulting Numbers: [60, 45]
Generated Node #0,1,3: 47:[60, 45] Operation: 57-12=45
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[57, 48], Operations: ['90-30=60', '60-12=48']
Exploring Operation: 57+48=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 57*48=2736, Resulting Numbers: [2736]
2736,47 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 47:[60, 45], Operations: ['90-30=60', '57-12=45']
Exploring Operation: 60+45=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 60*45=2700, Resulting Numbers: [2700]
2700,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[60, 69], Operations: ['90-30=60', '12+57=69']
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 60+69=129, Resulting Numbers: [129]
129,47 unequal: No Solution
Exploring Operation: 60*69=4140, Resulting Numbers: [4140]
4140,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[57, 72], Operations: ['90-30=60', '12+60=72']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 57+72=129, Resulting Numbers: [129]
129,47 unequal: No Solution
Exploring Operation: 57*72=4104, Resulting Numbers: [4104]
4104,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[90, 57, 42], Operations: ['12+30=42']
Exploring Operation: 57-42=15, Resulting Numbers: [90, 15]
Generated Node #0,2,0: 47:[90, 15] Operation: 57-42=15
Exploring Operation: 90-42=48, Resulting Numbers: [57, 48]
Generated Node #0,2,1: 47:[57, 48] Operation: 90-42=48
Exploring Operation: 90-57=33, Resulting Numbers: [42, 33]
Generated Node #0,2,2: 47:[42, 33] Operation: 90-57=33
Exploring Operation: 90+42=132, Resulting Numbers: [57, 132]
Generated Node #0,2,3: 47:[57, 132] Operation: 90+42=132
Moving to Node #0,2,1
Current State: 47:[57, 48], Operations: ['12+30=42', '90-42=48']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 57+48=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 57*48=2736, Resulting Numbers: [2736]
2736,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[42, 33], Operations: ['12+30=42', '90-57=33']
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 42+33=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 42*33=1386, Resulting Numbers: [1386]
1386,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[90, 15], Operations: ['12+30=42', '57-42=15']
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[57, 132], Operations: ['12+30=42', '90+42=132']
Exploring Operation: 132-57=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 57*132=7524, Resulting Numbers: [7524]
7524,47 unequal: No Solution
Exploring Operation: 57+132=189, Resulting Numbers: [189]
189,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[30, 57, 78], Operations: ['90-12=78']
Exploring Operation: 78-30=48, Resulting Numbers: [57, 48]
Generated Node #0,3,0: 47:[57, 48] Operation: 78-30=48
Exploring Operation: 57-30=27, Resulting Numbers: [78, 27]
Generated Node #0,3,1: 47:[78, 27] Operation: 57-30=27
Exploring Operation: 30+57=87, Resulting Numbers: [78, 87]
Generated Node #0,3,2: 47:[78, 87] Operation: 30+57=87
Exploring Operation: 78-57=21, Resulting Numbers: [30, 21]
Generated Node #0,3,3: 47:[30, 21] Operation: 78-57=21
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 47:[57, 48], Operations: ['90-12=78', '78-30=48']
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 57+48=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 57*48=2736, Resulting Numbers: [2736]
2736,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 47:[30, 21], Operations: ['90-12=78', '78-57=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 47:[78, 27], Operations: ['90-12=78', '57-30=27']
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[78, 87], Operations: ['90-12=78', '30+57=87']
Exploring Operation: 87-78=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 78+87=165, Resulting Numbers: [165]
165,47 unequal: No Solution
Exploring Operation: 78*87=6786, Resulting Numbers: [6786]
6786,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[30, 90, 45], Operations: ['57-12=45']
Exploring Operation: 90/45=2, Resulting Numbers: [30, 2]
Generated Node #0,0,0: 47:[30, 2] Operation: 90/45=2
Exploring Operation: 90/30=3, Resulting Numbers: [45, 3]
Generated Node #0,0,1: 47:[45, 3] Operation: 90/30=3
Exploring Operation: 90-45=45, Resulting Numbers: [30, 45]
Generated Node #0,0,2: 47:[30, 45] Operation: 90-45=45
Exploring Operation: 90-30=60, Resulting Numbers: [45, 60]
Generated Node #0,0,3: 47:[45, 60] Operation: 90-30=60
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[45, 60], Operations: ['57-12=45', '90-30=60']
Exploring Operation: 45*60=2700, Resulting Numbers: [2700]
2700,47 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 45+60=105, Resulting Numbers: [105]
105,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[30, 45], Operations: ['57-12=45', '90-45=45']
Exploring Operation: 30*45=1350, Resulting Numbers: [1350]
1350,47 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[45, 3], Operations: ['57-12=45', '90/30=3']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 45*3=135, Resulting Numbers: [135]
135,47 unequal: No Solution
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[30, 2], Operations: ['57-12=45', '90/45=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
35,
14,
67,
28
] | 31 | [
"35-28=7",
"14*7=98",
"98-67=31"
] | Current State: 31:[35, 14, 67, 28], Operations: []
Exploring Operation: 35-28=7, Resulting Numbers: [14, 67, 7]
Generated Node #2: [14, 67, 7] from Operation: 35-28=7
Current State: 31:[14, 67, 7], Operations: ['35-28=7']
Exploring Operation: 14*7=98, Resulting Numbers: [67, 98]
Generated Node #3: [67, 98] from Operation: 14*7=98
Current State: 31:[67, 98], Operations: ['35-28=7', '14*7=98']
Exploring Operation: 98-67=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[35, 14, 67, 28], Operations: []
Exploring Operation: 67-35=32, Resulting Numbers: [14, 28, 32]
Generated Node #0,0: 31:[14, 28, 32] Operation: 67-35=32
Moving to Node #0,0
Current State: 31:[14, 28, 32], Operations: ['67-35=32']
Exploring Operation: 14+28=42, Resulting Numbers: [32, 42]
Generated Node #0,0,0: 31:[32, 42] Operation: 14+28=42
Moving to Node #0,0,0
Current State: 31:[32, 42], Operations: ['67-35=32', '14+28=42']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
78,
73,
73,
55
] | 13 | [
"78-73=5",
"73-55=18",
"18-5=13"
] | Current State: 13:[78, 73, 73, 55], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [55, 5]
Generated Node #2: [55, 5] from Operation: 78-73=5
Current State: 13:[55, 5], Operations: ['78-73=5']
Exploring Operation: 73-55=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 73-55=18
Current State: 13:[5, 18], Operations: ['78-73=5', '73-55=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[78, 73, 73, 55], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [73, 55, 5]
Generated Node #0,0: 13:[73, 55, 5] Operation: 78-73=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[73, 55, 5], Operations: ['78-73=5']
Exploring Operation: 73-55=18, Resulting Numbers: [5, 18]
Generated Node #0,0,0: 13:[5, 18] Operation: 73-55=18
Moving to Node #0,0,0
Current State: 13:[5, 18], Operations: ['78-73=5', '73-55=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[78, 73, 73, 55], Operations: []
Exploring Operation: 78-73=5, Resulting Numbers: [73, 55, 5]
Generated Node #0,0: 13:[73, 55, 5] Operation: 78-73=5
Moving to Node #0,0
Current State: 13:[73, 55, 5], Operations: ['78-73=5']
Exploring Operation: 73-55=18, Resulting Numbers: [5, 18]
Generated Node #0,0,0: 13:[5, 18] Operation: 73-55=18
Moving to Node #0,0,0
Current State: 13:[5, 18], Operations: ['78-73=5', '73-55=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
68,
29,
83,
65
] | 79 | [
"68+29=97",
"83-65=18",
"97-18=79"
] | Current State: 79:[68, 29, 83, 65], Operations: []
Exploring Operation: 68+29=97, Resulting Numbers: [83, 65, 97]
Generated Node #2: [83, 65, 97] from Operation: 68+29=97
Current State: 79:[83, 65, 97], Operations: ['68+29=97']
Exploring Operation: 83-65=18, Resulting Numbers: [97, 18]
Generated Node #3: [97, 18] from Operation: 83-65=18
Current State: 79:[97, 18], Operations: ['68+29=97', '83-65=18']
Exploring Operation: 97-18=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[68, 29, 83, 65], Operations: []
Exploring Operation: 29+65=94, Resulting Numbers: [68, 83, 94]
Generated Node #0,0: 79:[68, 83, 94] Operation: 29+65=94
Exploring Operation: 68+29=97, Resulting Numbers: [83, 65, 97]
Generated Node #0,1: 79:[83, 65, 97] Operation: 68+29=97
Moving to Node #0,0
Current State: 79:[68, 83, 94], Operations: ['29+65=94']
Exploring Operation: 83-68=15, Resulting Numbers: [94, 15]
Generated Node #0,0,0: 79:[94, 15] Operation: 83-68=15
Exploring Operation: 94-68=26, Resulting Numbers: [83, 26]
Generated Node #0,0,1: 79:[83, 26] Operation: 94-68=26
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[83, 26], Operations: ['29+65=94', '94-68=26']
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,79 unequal: No Solution
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[94, 15], Operations: ['29+65=94', '83-68=15']
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,79 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[68, 29, 83, 65], Operations: []
Exploring Operation: 29+65=94, Resulting Numbers: [68, 83, 94]
Generated Node #0,0: 79:[68, 83, 94] Operation: 29+65=94
Moving to Node #0,0
Current State: 79:[68, 83, 94], Operations: ['29+65=94']
Exploring Operation: 83-68=15, Resulting Numbers: [94, 15]
Generated Node #0,0,0: 79:[94, 15] Operation: 83-68=15
Moving to Node #0,0,0
Current State: 79:[94, 15], Operations: ['29+65=94', '83-68=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
37,
59,
74,
53
] | 47 | [
"74/37=2",
"53*2=106",
"106-59=47"
] | Current State: 47:[37, 59, 74, 53], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [59, 53, 2]
Generated Node #2: [59, 53, 2] from Operation: 74/37=2
Current State: 47:[59, 53, 2], Operations: ['74/37=2']
Exploring Operation: 53*2=106, Resulting Numbers: [59, 106]
Generated Node #3: [59, 106] from Operation: 53*2=106
Current State: 47:[59, 106], Operations: ['74/37=2', '53*2=106']
Exploring Operation: 106-59=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[37, 59, 74, 53], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [37, 53, 15]
Generated Node #0,0: 47:[37, 53, 15] Operation: 74-59=15
Exploring Operation: 74-37=37, Resulting Numbers: [59, 53, 37]
Generated Node #0,1: 47:[59, 53, 37] Operation: 74-37=37
Moving to Node #0,1
Current State: 47:[59, 53, 37], Operations: ['74-37=37']
Exploring Operation: 59-37=22, Resulting Numbers: [53, 22]
Generated Node #0,1,0: 47:[53, 22] Operation: 59-37=22
Exploring Operation: 53-37=16, Resulting Numbers: [59, 16]
Generated Node #0,1,1: 47:[59, 16] Operation: 53-37=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[53, 22], Operations: ['74-37=37', '59-37=22']
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 53+22=75, Resulting Numbers: [75]
75,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[59, 16], Operations: ['74-37=37', '53-37=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,47 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: 47:[37, 53, 15], Operations: ['74-59=15']
Exploring Operation: 53-15=38, Resulting Numbers: [37, 38]
Generated Node #0,0,0: 47:[37, 38] Operation: 53-15=38
Exploring Operation: 37+15=52, Resulting Numbers: [53, 52]
Generated Node #0,0,1: 47:[53, 52] Operation: 37+15=52
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[53, 52], Operations: ['74-59=15', '37+15=52']
Exploring Operation: 53+52=105, Resulting Numbers: [105]
105,47 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[37, 38], Operations: ['74-59=15', '53-15=38']
Exploring Operation: 37+38=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
42,
34,
44,
96
] | 60 | [
"42-34=8",
"96-44=52",
"8+52=60"
] | Current State: 60:[42, 34, 44, 96], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [44, 96, 8]
Generated Node #2: [44, 96, 8] from Operation: 42-34=8
Current State: 60:[44, 96, 8], Operations: ['42-34=8']
Exploring Operation: 96-44=52, Resulting Numbers: [8, 52]
Generated Node #3: [8, 52] from Operation: 96-44=52
Current State: 60:[8, 52], Operations: ['42-34=8', '96-44=52']
Exploring Operation: 8+52=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[42, 34, 44, 96], Operations: []
Exploring Operation: 96-44=52, Resulting Numbers: [42, 34, 52]
Generated Node #0,0: 60:[42, 34, 52] Operation: 96-44=52
Exploring Operation: 96-34=62, Resulting Numbers: [42, 44, 62]
Generated Node #0,1: 60:[42, 44, 62] Operation: 96-34=62
Exploring Operation: 96-42=54, Resulting Numbers: [34, 44, 54]
Generated Node #0,2: 60:[34, 44, 54] Operation: 96-42=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[42, 34, 52], Operations: ['96-44=52']
Exploring Operation: 52-34=18, Resulting Numbers: [42, 18]
Generated Node #0,0,0: 60:[42, 18] Operation: 52-34=18
Exploring Operation: 42-34=8, Resulting Numbers: [52, 8]
Generated Node #0,0,1: 60:[52, 8] Operation: 42-34=8
Exploring Operation: 52-42=10, Resulting Numbers: [34, 10]
Generated Node #0,0,2: 60:[34, 10] Operation: 52-42=10
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 60:[34, 10], Operations: ['96-44=52', '52-42=10']
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,60 unequal: No Solution
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,60 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,60 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:[52, 8], Operations: ['96-44=52', '42-34=8']
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[42, 34, 44, 96], Operations: []
Exploring Operation: 96-44=52, Resulting Numbers: [42, 34, 52]
Generated Node #0,0: 60:[42, 34, 52] Operation: 96-44=52
Moving to Node #0,0
Current State: 60:[42, 34, 52], Operations: ['96-44=52']
Exploring Operation: 42-34=8, Resulting Numbers: [52, 8]
Generated Node #0,0,1: 60:[52, 8] Operation: 42-34=8
Moving to Node #0,0,1
Current State: 60:[52, 8], Operations: ['96-44=52', '42-34=8']
Exploring Operation: 52+8=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
48,
26,
78,
77
] | 93 | [
"48*26=1248",
"1248/78=16",
"77+16=93"
] | Current State: 93:[48, 26, 78, 77], Operations: []
Exploring Operation: 48*26=1248, Resulting Numbers: [78, 77, 1248]
Generated Node #2: [78, 77, 1248] from Operation: 48*26=1248
Current State: 93:[78, 77, 1248], Operations: ['48*26=1248']
Exploring Operation: 1248/78=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 1248/78=16
Current State: 93:[77, 16], Operations: ['48*26=1248', '1248/78=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[48, 26, 78, 77], Operations: []
Exploring Operation: 77-48=29, Resulting Numbers: [26, 78, 29]
Generated Node #0,0: 93:[26, 78, 29] Operation: 77-48=29
Exploring Operation: 78-48=30, Resulting Numbers: [26, 77, 30]
Generated Node #0,1: 93:[26, 77, 30] Operation: 78-48=30
Moving to Node #0,0
Current State: 93:[26, 78, 29], Operations: ['77-48=29']
Exploring Operation: 26+78=104, Resulting Numbers: [29, 104]
Generated Node #0,0,0: 93:[29, 104] Operation: 26+78=104
Exploring Operation: 78/26=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 93:[29, 3] Operation: 78/26=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[29, 3], Operations: ['77-48=29', '78/26=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,93 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,93 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 #0,0,0
Current State: 93:[29, 104], Operations: ['77-48=29', '26+78=104']
Exploring Operation: 104-29=75, Resulting Numbers: [75]
75,93 unequal: No Solution
Exploring Operation: 29+104=133, Resulting Numbers: [133]
133,93 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:[26, 77, 30], Operations: ['78-48=30']
Exploring Operation: 30-26=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 93:[77, 4] Operation: 30-26=4
Exploring Operation: 26+77=103, Resulting Numbers: [30, 103]
Generated Node #0,1,1: 93:[30, 103] Operation: 26+77=103
Moving to Node #0,1,1
Current State: 93:[30, 103], Operations: ['78-48=30', '26+77=103']
Exploring Operation: 30+103=133, Resulting Numbers: [133]
133,93 unequal: No Solution
Exploring Operation: 103-30=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[77, 4], Operations: ['78-48=30', '30-26=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,93 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
10,
3,
2,
89
] | 13 | [
"10-3=7",
"2+89=91",
"91/7=13"
] | Current State: 13:[10, 3, 2, 89], Operations: []
Exploring Operation: 10-3=7, Resulting Numbers: [2, 89, 7]
Generated Node #2: [2, 89, 7] from Operation: 10-3=7
Current State: 13:[2, 89, 7], Operations: ['10-3=7']
Exploring Operation: 2+89=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 2+89=91
Current State: 13:[7, 91], Operations: ['10-3=7', '2+89=91']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[10, 3, 2, 89], Operations: []
Exploring Operation: 3*2=6, Resulting Numbers: [10, 89, 6]
Generated Node #0,0: 13:[10, 89, 6] Operation: 3*2=6
Exploring Operation: 10+2=12, Resulting Numbers: [3, 89, 12]
Generated Node #0,1: 13:[3, 89, 12] Operation: 10+2=12
Exploring Operation: 10+3=13, Resulting Numbers: [2, 89, 13]
Generated Node #0,2: 13:[2, 89, 13] Operation: 10+3=13
Moving to Node #0,0
Current State: 13:[10, 89, 6], Operations: ['3*2=6']
Exploring Operation: 89-6=83, Resulting Numbers: [10, 83]
Generated Node #0,0,0: 13:[10, 83] Operation: 89-6=83
Exploring Operation: 10+6=16, Resulting Numbers: [89, 16]
Generated Node #0,0,1: 13:[89, 16] Operation: 10+6=16
Exploring Operation: 89-10=79, Resulting Numbers: [6, 79]
Generated Node #0,0,2: 13:[6, 79] Operation: 89-10=79
Moving to Node #0,1
Current State: 13:[3, 89, 12], Operations: ['10+2=12']
Exploring Operation: 3+12=15, Resulting Numbers: [89, 15]
Generated Node #0,1,0: 13:[89, 15] Operation: 3+12=15
Exploring Operation: 89-12=77, Resulting Numbers: [3, 77]
Generated Node #0,1,1: 13:[3, 77] Operation: 89-12=77
Exploring Operation: 89-3=86, Resulting Numbers: [12, 86]
Generated Node #0,1,2: 13:[12, 86] Operation: 89-3=86
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[3, 77], Operations: ['10+2=12', '89-12=77']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 3*77=231, Resulting Numbers: [231]
231,13 unequal: No Solution
Exploring Operation: 3+77=80, Resulting Numbers: [80]
80,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[12, 86], Operations: ['10+2=12', '89-3=86']
Exploring Operation: 12+86=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 12*86=1032, Resulting Numbers: [1032]
1032,13 unequal: No Solution
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[89, 15], Operations: ['10+2=12', '3+12=15']
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 89+15=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Exploring Operation: 89*15=1335, Resulting Numbers: [1335]
1335,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 13:[2, 89, 13], Operations: ['10+3=13']
Exploring Operation: 89-2=87, Resulting Numbers: [13, 87]
Generated Node #0,2,0: 13:[13, 87] Operation: 89-2=87
Exploring Operation: 89-13=76, Resulting Numbers: [2, 76]
Generated Node #0,2,1: 13:[2, 76] Operation: 89-13=76
Exploring Operation: 2+89=91, Resulting Numbers: [13, 91]
Generated Node #0,2,2: 13:[13, 91] Operation: 2+89=91
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 13:[13, 87], Operations: ['10+3=13', '89-2=87']
Exploring Operation: 13*87=1131, Resulting Numbers: [1131]
1131,13 unequal: No Solution
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,13 unequal: No Solution
Exploring Operation: 13+87=100, Resulting Numbers: [100]
100,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[2, 76], Operations: ['10+3=13', '89-13=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,13 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,13 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[13, 91], Operations: ['10+3=13', '2+89=91']
Exploring Operation: 13+91=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 13:[10, 83], Operations: ['3*2=6', '89-6=83']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,13 unequal: No Solution
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,13 unequal: No Solution
Exploring Operation: 10*83=830, Resulting Numbers: [830]
830,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[6, 79], Operations: ['3*2=6', '89-10=79']
Exploring Operation: 6+79=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Exploring Operation: 6*79=474, Resulting Numbers: [474]
474,13 unequal: No Solution
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[89, 16], Operations: ['3*2=6', '10+6=16']
Exploring Operation: 89-16=73, Resulting Numbers: [73]
73,13 unequal: No Solution
Exploring Operation: 89*16=1424, Resulting Numbers: [1424]
1424,13 unequal: No Solution
Exploring Operation: 89+16=105, Resulting Numbers: [105]
105,13 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
48,
83,
35,
39
] | 71 | [
"39-35=4",
"48/4=12",
"83-12=71"
] | Current State: 71:[48, 83, 35, 39], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [48, 83, 4]
Generated Node #2: [48, 83, 4] from Operation: 39-35=4
Current State: 71:[48, 83, 4], Operations: ['39-35=4']
Exploring Operation: 48/4=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 48/4=12
Current State: 71:[83, 12], Operations: ['39-35=4', '48/4=12']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[48, 83, 35, 39], Operations: []
Exploring Operation: 48+39=87, Resulting Numbers: [83, 35, 87]
Generated Node #0,0: 71:[83, 35, 87] Operation: 48+39=87
Exploring Operation: 35+39=74, Resulting Numbers: [48, 83, 74]
Generated Node #0,1: 71:[48, 83, 74] Operation: 35+39=74
Exploring Operation: 48+35=83, Resulting Numbers: [83, 39, 83]
Generated Node #0,2: 71:[83, 39, 83] Operation: 48+35=83
Moving to Node #0,1
Current State: 71:[48, 83, 74], Operations: ['35+39=74']
Exploring Operation: 48+83=131, Resulting Numbers: [74, 131]
Generated Node #0,1,0: 71:[74, 131] Operation: 48+83=131
Exploring Operation: 83-48=35, Resulting Numbers: [74, 35]
Generated Node #0,1,1: 71:[74, 35] Operation: 83-48=35
Exploring Operation: 74-48=26, Resulting Numbers: [83, 26]
Generated Node #0,1,2: 71:[83, 26] Operation: 74-48=26
Moving to Node #0,2
Current State: 71:[83, 39, 83], Operations: ['48+35=83']
Exploring Operation: 83-39=44, Resulting Numbers: [83, 44]
Generated Node #0,2,0: 71:[83, 44] Operation: 83-39=44
Exploring Operation: 83+39=122, Resulting Numbers: [83, 122]
Generated Node #0,2,1: 71:[83, 122] Operation: 83+39=122
Exploring Operation: 83-39=44, Resulting Numbers: [83, 44]
Generated Node #0,2,2: 71:[83, 44] Operation: 83-39=44
Moving to Node #0,0
Current State: 71:[83, 35, 87], Operations: ['48+39=87']
Exploring Operation: 83+35=118, Resulting Numbers: [87, 118]
Generated Node #0,0,0: 71:[87, 118] Operation: 83+35=118
Exploring Operation: 83-35=48, Resulting Numbers: [87, 48]
Generated Node #0,0,1: 71:[87, 48] Operation: 83-35=48
Exploring Operation: 87-35=52, Resulting Numbers: [83, 52]
Generated Node #0,0,2: 71:[83, 52] Operation: 87-35=52
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 71:[83, 52], Operations: ['48+39=87', '87-35=52']
Exploring Operation: 83-52=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 83+52=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Exploring Operation: 83*52=4316, Resulting Numbers: [4316]
4316,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[87, 48], Operations: ['48+39=87', '83-35=48']
Exploring Operation: 87*48=4176, Resulting Numbers: [4176]
4176,71 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[87, 118], Operations: ['48+39=87', '83+35=118']
Exploring Operation: 87*118=10266, Resulting Numbers: [10266]
10266,71 unequal: No Solution
Exploring Operation: 87+118=205, Resulting Numbers: [205]
205,71 unequal: No Solution
Exploring Operation: 118-87=31, Resulting Numbers: [31]
31,71 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: 71:[74, 35], Operations: ['35+39=74', '83-48=35']
Exploring Operation: 74+35=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Exploring Operation: 74*35=2590, Resulting Numbers: [2590]
2590,71 unequal: No Solution
Exploring Operation: 74-35=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[83, 44], Operations: ['48+35=83', '83-39=44']
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,71 unequal: No Solution
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,71 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[83, 44], Operations: ['48+35=83', '83-39=44']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,71 unequal: No Solution
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[83, 26], Operations: ['35+39=74', '74-48=26']
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,71 unequal: No Solution
Exploring Operation: 83*26=2158, Resulting Numbers: [2158]
2158,71 unequal: No Solution
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[83, 122], Operations: ['48+35=83', '83+39=122']
Exploring Operation: 83+122=205, Resulting Numbers: [205]
205,71 unequal: No Solution
Exploring Operation: 83*122=10126, Resulting Numbers: [10126]
10126,71 unequal: No Solution
Exploring Operation: 122-83=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[74, 131], Operations: ['35+39=74', '48+83=131']
Exploring Operation: 74+131=205, Resulting Numbers: [205]
205,71 unequal: No Solution
Exploring Operation: 74*131=9694, Resulting Numbers: [9694]
9694,71 unequal: No Solution
Exploring Operation: 131-74=57, Resulting Numbers: [57]
57,71 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
31,
40,
5,
37
] | 78 | [
"31*5=155",
"40+37=77",
"155-77=78"
] | Current State: 78:[31, 40, 5, 37], Operations: []
Exploring Operation: 31*5=155, Resulting Numbers: [40, 37, 155]
Generated Node #2: [40, 37, 155] from Operation: 31*5=155
Current State: 78:[40, 37, 155], Operations: ['31*5=155']
Exploring Operation: 40+37=77, Resulting Numbers: [155, 77]
Generated Node #3: [155, 77] from Operation: 40+37=77
Current State: 78:[155, 77], Operations: ['31*5=155', '40+37=77']
Exploring Operation: 155-77=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[31, 40, 5, 37], Operations: []
Exploring Operation: 37-31=6, Resulting Numbers: [40, 5, 6]
Generated Node #0,0: 78:[40, 5, 6] Operation: 37-31=6
Exploring Operation: 31-5=26, Resulting Numbers: [40, 37, 26]
Generated Node #0,1: 78:[40, 37, 26] Operation: 31-5=26
Moving to Node #0,0
Current State: 78:[40, 5, 6], Operations: ['37-31=6']
Exploring Operation: 40/5=8, Resulting Numbers: [6, 8]
Generated Node #0,0,0: 78:[6, 8] Operation: 40/5=8
Exploring Operation: 6-5=1, Resulting Numbers: [40, 1]
Generated Node #0,0,1: 78:[40, 1] Operation: 6-5=1
Moving to Node #0,1
Current State: 78:[40, 37, 26], Operations: ['31-5=26']
Exploring Operation: 40-37=3, Resulting Numbers: [26, 3]
Generated Node #0,1,0: 78:[26, 3] Operation: 40-37=3
Exploring Operation: 40+37=77, Resulting Numbers: [26, 77]
Generated Node #0,1,1: 78:[26, 77] Operation: 40+37=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[26, 3], Operations: ['31-5=26', '40-37=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[31, 40, 5, 37], Operations: []
Exploring Operation: 31-5=26, Resulting Numbers: [40, 37, 26]
Generated Node #0,1: 78:[40, 37, 26] Operation: 31-5=26
Moving to Node #0,1
Current State: 78:[40, 37, 26], Operations: ['31-5=26']
Exploring Operation: 40-37=3, Resulting Numbers: [26, 3]
Generated Node #0,1,0: 78:[26, 3] Operation: 40-37=3
Moving to Node #0,1,0
Current State: 78:[26, 3], Operations: ['31-5=26', '40-37=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
76,
93,
91,
18
] | 85 | [
"93-91=2",
"18/2=9",
"76+9=85"
] | Current State: 85:[76, 93, 91, 18], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [76, 18, 2]
Generated Node #2: [76, 18, 2] from Operation: 93-91=2
Current State: 85:[76, 18, 2], Operations: ['93-91=2']
Exploring Operation: 18/2=9, Resulting Numbers: [76, 9]
Generated Node #3: [76, 9] from Operation: 18/2=9
Current State: 85:[76, 9], Operations: ['93-91=2', '18/2=9']
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[76, 93, 91, 18], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [91, 18, 17]
Generated Node #0,0: 85:[91, 18, 17] Operation: 93-76=17
Exploring Operation: 93-91=2, Resulting Numbers: [76, 18, 2]
Generated Node #0,1: 85:[76, 18, 2] Operation: 93-91=2
Exploring Operation: 91-76=15, Resulting Numbers: [93, 18, 15]
Generated Node #0,2: 85:[93, 18, 15] Operation: 91-76=15
Moving to Node #0,0
Current State: 85:[91, 18, 17], Operations: ['93-76=17']
Exploring Operation: 18-17=1, Resulting Numbers: [91, 1]
Generated Node #0,0,0: 85:[91, 1] Operation: 18-17=1
Exploring Operation: 91-17=74, Resulting Numbers: [18, 74]
Generated Node #0,0,1: 85:[18, 74] Operation: 91-17=74
Exploring Operation: 91-18=73, Resulting Numbers: [17, 73]
Generated Node #0,0,2: 85:[17, 73] Operation: 91-18=73
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[91, 1], Operations: ['93-76=17', '18-17=1']
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,85 unequal: No Solution
No 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: 85:[18, 74], Operations: ['93-76=17', '91-17=74']
Exploring Operation: 18+74=92, Resulting Numbers: [92]
92,85 unequal: No Solution
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,85 unequal: No Solution
Exploring Operation: 18*74=1332, Resulting Numbers: [1332]
1332,85 unequal: No Solution
No 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: 85:[17, 73], Operations: ['93-76=17', '91-18=73']
Exploring Operation: 17+73=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 17*73=1241, Resulting Numbers: [1241]
1241,85 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,85 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: 85:[93, 18, 15], Operations: ['91-76=15']
Exploring Operation: 93-18=75, Resulting Numbers: [15, 75]
Generated Node #0,2,0: 85:[15, 75] Operation: 93-18=75
Exploring Operation: 18-15=3, Resulting Numbers: [93, 3]
Generated Node #0,2,1: 85:[93, 3] Operation: 18-15=3
Exploring Operation: 93-15=78, Resulting Numbers: [18, 78]
Generated Node #0,2,2: 85:[18, 78] Operation: 93-15=78
Moving to Node #0,1
Current State: 85:[76, 18, 2], Operations: ['93-91=2']
Exploring Operation: 18-2=16, Resulting Numbers: [76, 16]
Generated Node #0,1,0: 85:[76, 16] Operation: 18-2=16
Exploring Operation: 76+2=78, Resulting Numbers: [18, 78]
Generated Node #0,1,1: 85:[18, 78] Operation: 76+2=78
Exploring Operation: 76+18=94, Resulting Numbers: [2, 94]
Generated Node #0,1,2: 85:[2, 94] Operation: 76+18=94
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[18, 78], Operations: ['93-91=2', '76+2=78']
Exploring Operation: 18*78=1404, Resulting Numbers: [1404]
1404,85 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 18+78=96, Resulting Numbers: [96]
96,85 unequal: No Solution
No 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: 85:[76, 16], Operations: ['93-91=2', '18-2=16']
Exploring Operation: 76+16=92, Resulting Numbers: [92]
92,85 unequal: No Solution
Exploring Operation: 76-16=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 76*16=1216, Resulting Numbers: [1216]
1216,85 unequal: No Solution
No 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: 85:[2, 94], Operations: ['93-91=2', '76+18=94']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,85 unequal: No Solution
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 85:[18, 78], Operations: ['91-76=15', '93-15=78']
Exploring Operation: 18+78=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 18*78=1404, Resulting Numbers: [1404]
1404,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[93, 3], Operations: ['91-76=15', '18-15=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,85 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,85 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[15, 75], Operations: ['91-76=15', '93-18=75']
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,85 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,85 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,85 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
34,
51,
14,
2
] | 75 | [
"34+14=48",
"48/2=24",
"51+24=75"
] | Current State: 75:[34, 51, 14, 2], Operations: []
Exploring Operation: 34+14=48, Resulting Numbers: [51, 2, 48]
Generated Node #2: [51, 2, 48] from Operation: 34+14=48
Current State: 75:[51, 2, 48], Operations: ['34+14=48']
Exploring Operation: 48/2=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 48/2=24
Current State: 75:[51, 24], Operations: ['34+14=48', '48/2=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[34, 51, 14, 2], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [14, 2, 17]
Generated Node #0,0: 75:[14, 2, 17] Operation: 51-34=17
Exploring Operation: 34+51=85, Resulting Numbers: [14, 2, 85]
Generated Node #0,1: 75:[14, 2, 85] Operation: 34+51=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[14, 2, 17], Operations: ['51-34=17']
Exploring Operation: 17-14=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 75:[2, 3] Operation: 17-14=3
Exploring Operation: 17-2=15, Resulting Numbers: [14, 15]
Generated Node #0,0,1: 75:[14, 15] Operation: 17-2=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[2, 3], Operations: ['51-34=17', '17-14=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,75 unequal: No Solution
No 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: 75:[14, 15], Operations: ['51-34=17', '17-2=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,75 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,75 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: 75:[14, 2, 85], Operations: ['34+51=85']
Exploring Operation: 85-2=83, Resulting Numbers: [14, 83]
Generated Node #0,1,0: 75:[14, 83] Operation: 85-2=83
Exploring Operation: 85-14=71, Resulting Numbers: [2, 71]
Generated Node #0,1,1: 75:[2, 71] Operation: 85-14=71
Moving to Node #0,1,1
Current State: 75:[2, 71], Operations: ['34+51=85', '85-14=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,75 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[14, 83], Operations: ['34+51=85', '85-2=83']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 14+83=97, Resulting Numbers: [97]
97,75 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 |
[
18,
84,
26,
75
] | 53 | [
"18+84=102",
"75-26=49",
"102-49=53"
] | Current State: 53:[18, 84, 26, 75], Operations: []
Exploring Operation: 18+84=102, Resulting Numbers: [26, 75, 102]
Generated Node #2: [26, 75, 102] from Operation: 18+84=102
Current State: 53:[26, 75, 102], Operations: ['18+84=102']
Exploring Operation: 75-26=49, Resulting Numbers: [102, 49]
Generated Node #3: [102, 49] from Operation: 75-26=49
Current State: 53:[102, 49], Operations: ['18+84=102', '75-26=49']
Exploring Operation: 102-49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[18, 84, 26, 75], Operations: []
Exploring Operation: 18+26=44, Resulting Numbers: [84, 75, 44]
Generated Node #0,0: 53:[84, 75, 44] Operation: 18+26=44
Exploring Operation: 75-18=57, Resulting Numbers: [84, 26, 57]
Generated Node #0,1: 53:[84, 26, 57] Operation: 75-18=57
Exploring Operation: 84-18=66, Resulting Numbers: [26, 75, 66]
Generated Node #0,2: 53:[26, 75, 66] Operation: 84-18=66
Exploring Operation: 84-26=58, Resulting Numbers: [18, 75, 58]
Generated Node #0,3: 53:[18, 75, 58] Operation: 84-26=58
Moving to Node #0,0
Current State: 53:[84, 75, 44], Operations: ['18+26=44']
Exploring Operation: 84-75=9, Resulting Numbers: [44, 9]
Generated Node #0,0,0: 53:[44, 9] Operation: 84-75=9
Exploring Operation: 84-44=40, Resulting Numbers: [75, 40]
Generated Node #0,0,1: 53:[75, 40] Operation: 84-44=40
Exploring Operation: 75-44=31, Resulting Numbers: [84, 31]
Generated Node #0,0,2: 53:[84, 31] Operation: 75-44=31
Exploring Operation: 84+44=128, Resulting Numbers: [75, 128]
Generated Node #0,0,3: 53:[75, 128] Operation: 84+44=128
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[75, 40], Operations: ['18+26=44', '84-44=40']
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,53 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 75*40=3000, Resulting Numbers: [3000]
3000,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[44, 9], Operations: ['18+26=44', '84-75=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[18, 84, 26, 75], Operations: []
Exploring Operation: 18+26=44, Resulting Numbers: [84, 75, 44]
Generated Node #0,0: 53:[84, 75, 44] Operation: 18+26=44
Moving to Node #0,0
Current State: 53:[84, 75, 44], Operations: ['18+26=44']
Exploring Operation: 84-75=9, Resulting Numbers: [44, 9]
Generated Node #0,0,0: 53:[44, 9] Operation: 84-75=9
Moving to Node #0,0,0
Current State: 53:[44, 9], Operations: ['18+26=44', '84-75=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
57,
95,
81,
68
] | 60 | [
"95-68=27",
"81/27=3",
"57+3=60"
] | Current State: 60:[57, 95, 81, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [57, 81, 27]
Generated Node #2: [57, 81, 27] from Operation: 95-68=27
Current State: 60:[57, 81, 27], Operations: ['95-68=27']
Exploring Operation: 81/27=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 81/27=3
Current State: 60:[57, 3], Operations: ['95-68=27', '81/27=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[57, 95, 81, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [57, 81, 27]
Generated Node #0,0: 60:[57, 81, 27] Operation: 95-68=27
Exploring Operation: 95-81=14, Resulting Numbers: [57, 68, 14]
Generated Node #0,1: 60:[57, 68, 14] Operation: 95-81=14
Moving to Node #0,1
Current State: 60:[57, 68, 14], Operations: ['95-81=14']
Exploring Operation: 68-57=11, Resulting Numbers: [14, 11]
Generated Node #0,1,0: 60:[14, 11] Operation: 68-57=11
Exploring Operation: 68-14=54, Resulting Numbers: [57, 54]
Generated Node #0,1,1: 60:[57, 54] Operation: 68-14=54
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[14, 11], Operations: ['95-81=14', '68-57=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,60 unequal: No Solution
No 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: 60:[57, 54], Operations: ['95-81=14', '68-14=54']
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 57+54=111, Resulting Numbers: [111]
111,60 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: 60:[57, 81, 27], Operations: ['95-68=27']
Exploring Operation: 81-57=24, Resulting Numbers: [27, 24]
Generated Node #0,0,0: 60:[27, 24] Operation: 81-57=24
Exploring Operation: 81/27=3, Resulting Numbers: [57, 3]
Generated Node #0,0,1: 60:[57, 3] Operation: 81/27=3
Moving to Node #0,0,1
Current State: 60:[57, 3], Operations: ['95-68=27', '81/27=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[57, 95, 81, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [57, 81, 27]
Generated Node #0,0: 60:[57, 81, 27] Operation: 95-68=27
Moving to Node #0,0
Current State: 60:[57, 81, 27], Operations: ['95-68=27']
Exploring Operation: 81/27=3, Resulting Numbers: [57, 3]
Generated Node #0,0,1: 60:[57, 3] Operation: 81/27=3
Moving to Node #0,0,1
Current State: 60:[57, 3], Operations: ['95-68=27', '81/27=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
3,
1,
1,
12
] | 52 | [
"3+1=4",
"1+12=13",
"4*13=52"
] | Current State: 52:[3, 1, 1, 12], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [12, 4]
Generated Node #2: [12, 4] from Operation: 3+1=4
Current State: 52:[12, 4], Operations: ['3+1=4']
Exploring Operation: 1+12=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 1+12=13
Current State: 52:[4, 13], Operations: ['3+1=4', '1+12=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[3, 1, 1, 12], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [1, 12, 4]
Generated Node #0,0: 52:[1, 12, 4] Operation: 3+1=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[1, 12, 4], Operations: ['3+1=4']
Exploring Operation: 1+12=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 52:[4, 13] Operation: 1+12=13
Moving to Node #0,0,0
Current State: 52:[4, 13], Operations: ['3+1=4', '1+12=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[3, 1, 1, 12], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [1, 12, 4]
Generated Node #0,0: 52:[1, 12, 4] Operation: 3+1=4
Moving to Node #0,0
Current State: 52:[1, 12, 4], Operations: ['3+1=4']
Exploring Operation: 1+12=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 52:[4, 13] Operation: 1+12=13
Moving to Node #0,0,0
Current State: 52:[4, 13], Operations: ['3+1=4', '1+12=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
83,
26,
91,
17
] | 51 | [
"83-26=57",
"91+17=108",
"108-57=51"
] | Current State: 51:[83, 26, 91, 17], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [91, 17, 57]
Generated Node #2: [91, 17, 57] from Operation: 83-26=57
Current State: 51:[91, 17, 57], Operations: ['83-26=57']
Exploring Operation: 91+17=108, Resulting Numbers: [57, 108]
Generated Node #3: [57, 108] from Operation: 91+17=108
Current State: 51:[57, 108], Operations: ['83-26=57', '91+17=108']
Exploring Operation: 108-57=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[83, 26, 91, 17], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [91, 17, 57]
Generated Node #0,0: 51:[91, 17, 57] Operation: 83-26=57
Exploring Operation: 91-26=65, Resulting Numbers: [83, 17, 65]
Generated Node #0,1: 51:[83, 17, 65] Operation: 91-26=65
Exploring Operation: 91-83=8, Resulting Numbers: [26, 17, 8]
Generated Node #0,2: 51:[26, 17, 8] Operation: 91-83=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[26, 17, 8], Operations: ['91-83=8']
Exploring Operation: 26-17=9, Resulting Numbers: [8, 9]
Generated Node #0,2,0: 51:[8, 9] Operation: 26-17=9
Exploring Operation: 26+17=43, Resulting Numbers: [8, 43]
Generated Node #0,2,1: 51:[8, 43] Operation: 26+17=43
Exploring Operation: 26-8=18, Resulting Numbers: [17, 18]
Generated Node #0,2,2: 51:[17, 18] Operation: 26-8=18
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 51:[17, 18], Operations: ['91-83=8', '26-8=18']
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[8, 9], Operations: ['91-83=8', '26-17=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 51:[8, 43], Operations: ['91-83=8', '26+17=43']
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[83, 26, 91, 17], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [26, 17, 8]
Generated Node #0,2: 51:[26, 17, 8] Operation: 91-83=8
Moving to Node #0,2
Current State: 51:[26, 17, 8], Operations: ['91-83=8']
Exploring Operation: 26+17=43, Resulting Numbers: [8, 43]
Generated Node #0,2,1: 51:[8, 43] Operation: 26+17=43
Moving to Node #0,2,1
Current State: 51:[8, 43], Operations: ['91-83=8', '26+17=43']
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
10,
70,
6,
1
] | 48 | [
"70/10=7",
"1+7=8",
"6*8=48"
] | Current State: 48:[10, 70, 6, 1], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [6, 1, 7]
Generated Node #2: [6, 1, 7] from Operation: 70/10=7
Current State: 48:[6, 1, 7], Operations: ['70/10=7']
Exploring Operation: 1+7=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 1+7=8
Current State: 48:[6, 8], Operations: ['70/10=7', '1+7=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[10, 70, 6, 1], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [6, 1, 7]
Generated Node #0,0: 48:[6, 1, 7] Operation: 70/10=7
Moving to Node #0,0
Current State: 48:[6, 1, 7], Operations: ['70/10=7']
Exploring Operation: 1+7=8, Resulting Numbers: [6, 8]
Generated Node #0,0,0: 48:[6, 8] Operation: 1+7=8
Moving to Node #0,0,0
Current State: 48:[6, 8], Operations: ['70/10=7', '1+7=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[10, 70, 6, 1], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [6, 1, 7]
Generated Node #0,0: 48:[6, 1, 7] Operation: 70/10=7
Moving to Node #0,0
Current State: 48:[6, 1, 7], Operations: ['70/10=7']
Exploring Operation: 1+7=8, Resulting Numbers: [6, 8]
Generated Node #0,0,0: 48:[6, 8] Operation: 1+7=8
Moving to Node #0,0,0
Current State: 48:[6, 8], Operations: ['70/10=7', '1+7=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
89,
76,
3,
70
] | 98 | [
"89+76=165",
"70-3=67",
"165-67=98"
] | Current State: 98:[89, 76, 3, 70], Operations: []
Exploring Operation: 89+76=165, Resulting Numbers: [3, 70, 165]
Generated Node #2: [3, 70, 165] from Operation: 89+76=165
Current State: 98:[3, 70, 165], Operations: ['89+76=165']
Exploring Operation: 70-3=67, Resulting Numbers: [165, 67]
Generated Node #3: [165, 67] from Operation: 70-3=67
Current State: 98:[165, 67], Operations: ['89+76=165', '70-3=67']
Exploring Operation: 165-67=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[89, 76, 3, 70], Operations: []
Exploring Operation: 89+3=92, Resulting Numbers: [76, 70, 92]
Generated Node #0,0: 98:[76, 70, 92] Operation: 89+3=92
Exploring Operation: 89-70=19, Resulting Numbers: [76, 3, 19]
Generated Node #0,1: 98:[76, 3, 19] Operation: 89-70=19
Exploring Operation: 89-76=13, Resulting Numbers: [3, 70, 13]
Generated Node #0,2: 98:[3, 70, 13] Operation: 89-76=13
Exploring Operation: 76-70=6, Resulting Numbers: [89, 3, 6]
Generated Node #0,3: 98:[89, 3, 6] Operation: 76-70=6
Moving to Node #0,3
Current State: 98:[89, 3, 6], Operations: ['76-70=6']
Exploring Operation: 6-3=3, Resulting Numbers: [89, 3]
Generated Node #0,3,0: 98:[89, 3] Operation: 6-3=3
Exploring Operation: 89+3=92, Resulting Numbers: [6, 92]
Generated Node #0,3,1: 98:[6, 92] Operation: 89+3=92
Exploring Operation: 89+6=95, Resulting Numbers: [3, 95]
Generated Node #0,3,2: 98:[3, 95] Operation: 89+6=95
Exploring Operation: 6/3=2, Resulting Numbers: [89, 2]
Generated Node #0,3,3: 98:[89, 2] Operation: 6/3=2
Moving to Node #0,2
Current State: 98:[3, 70, 13], Operations: ['89-76=13']
Exploring Operation: 3+13=16, Resulting Numbers: [70, 16]
Generated Node #0,2,0: 98:[70, 16] Operation: 3+13=16
Exploring Operation: 70-13=57, Resulting Numbers: [3, 57]
Generated Node #0,2,1: 98:[3, 57] Operation: 70-13=57
Exploring Operation: 70+13=83, Resulting Numbers: [3, 83]
Generated Node #0,2,2: 98:[3, 83] Operation: 70+13=83
Exploring Operation: 70-3=67, Resulting Numbers: [13, 67]
Generated Node #0,2,3: 98:[13, 67] Operation: 70-3=67
Moving to Node #0,1
Current State: 98:[76, 3, 19], Operations: ['89-70=19']
Exploring Operation: 76-19=57, Resulting Numbers: [3, 57]
Generated Node #0,1,0: 98:[3, 57] Operation: 76-19=57
Exploring Operation: 76+3=79, Resulting Numbers: [19, 79]
Generated Node #0,1,1: 98:[19, 79] Operation: 76+3=79
Exploring Operation: 76+19=95, Resulting Numbers: [3, 95]
Generated Node #0,1,2: 98:[3, 95] Operation: 76+19=95
Exploring Operation: 76/19=4, Resulting Numbers: [3, 4]
Generated Node #0,1,3: 98:[3, 4] Operation: 76/19=4
Moving to Node #0,0
Current State: 98:[76, 70, 92], Operations: ['89+3=92']
Exploring Operation: 76+70=146, Resulting Numbers: [92, 146]
Generated Node #0,0,0: 98:[92, 146] Operation: 76+70=146
Exploring Operation: 76-70=6, Resulting Numbers: [92, 6]
Generated Node #0,0,1: 98:[92, 6] Operation: 76-70=6
Exploring Operation: 92-70=22, Resulting Numbers: [76, 22]
Generated Node #0,0,2: 98:[76, 22] Operation: 92-70=22
Exploring Operation: 92-76=16, Resulting Numbers: [70, 16]
Generated Node #0,0,3: 98:[70, 16] Operation: 92-76=16
Moving to Node #0,1,3
Current State: 98:[3, 4], Operations: ['89-70=19', '76/19=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[3, 95], Operations: ['76-70=6', '89+6=95']
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[89, 76, 3, 70], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [89, 3, 6]
Generated Node #0,3: 98:[89, 3, 6] Operation: 76-70=6
Moving to Node #0,3
Current State: 98:[89, 3, 6], Operations: ['76-70=6']
Exploring Operation: 89+6=95, Resulting Numbers: [3, 95]
Generated Node #0,3,2: 98:[3, 95] Operation: 89+6=95
Moving to Node #0,3,2
Current State: 98:[3, 95], Operations: ['76-70=6', '89+6=95']
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 0.975694 | hs_4 | mult_heuristic |
[
96,
88,
46,
42
] | 38 | [
"96+88=184",
"184/46=4",
"42-4=38"
] | Current State: 38:[96, 88, 46, 42], Operations: []
Exploring Operation: 96+88=184, Resulting Numbers: [46, 42, 184]
Generated Node #2: [46, 42, 184] from Operation: 96+88=184
Current State: 38:[46, 42, 184], Operations: ['96+88=184']
Exploring Operation: 184/46=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 184/46=4
Current State: 38:[42, 4], Operations: ['96+88=184', '184/46=4']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[96, 88, 46, 42], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [46, 42, 8]
Generated Node #0,0: 38:[46, 42, 8] Operation: 96-88=8
Exploring Operation: 96-46=50, Resulting Numbers: [88, 42, 50]
Generated Node #0,1: 38:[88, 42, 50] Operation: 96-46=50
Exploring Operation: 88-46=42, Resulting Numbers: [96, 42, 42]
Generated Node #0,2: 38:[96, 42, 42] Operation: 88-46=42
Exploring Operation: 96-42=54, Resulting Numbers: [88, 46, 54]
Generated Node #0,3: 38:[88, 46, 54] Operation: 96-42=54
Moving to Node #0,0
Current State: 38:[46, 42, 8], Operations: ['96-88=8']
Exploring Operation: 46+8=54, Resulting Numbers: [42, 54]
Generated Node #0,0,0: 38:[42, 54] Operation: 46+8=54
Exploring Operation: 42-8=34, Resulting Numbers: [46, 34]
Generated Node #0,0,1: 38:[46, 34] Operation: 42-8=34
Exploring Operation: 46-8=38, Resulting Numbers: [42, 38]
Generated Node #0,0,2: 38:[42, 38] Operation: 46-8=38
Exploring Operation: 46-42=4, Resulting Numbers: [8, 4]
Generated Node #0,0,3: 38:[8, 4] Operation: 46-42=4
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[42, 38], Operations: ['96-88=8', '46-8=38']
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,38 unequal: No Solution
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,38 unequal: No Solution
No 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: 38:[8, 4], Operations: ['96-88=8', '46-42=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,38 unequal: No Solution
No 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: 38:[46, 34], Operations: ['96-88=8', '42-8=34']
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,38 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No 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: 38:[42, 54], Operations: ['96-88=8', '46+8=54']
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,38 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,38 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: 38:[96, 42, 42], Operations: ['88-46=42']
Exploring Operation: 42/42=1, Resulting Numbers: [96, 1]
Generated Node #0,2,0: 38:[96, 1] Operation: 42/42=1
Exploring Operation: 42-42=0, Resulting Numbers: [96, 0]
Generated Node #0,2,1: 38:[96, 0] Operation: 42-42=0
Exploring Operation: 96-42=54, Resulting Numbers: [42, 54]
Generated Node #0,2,2: 38:[42, 54] Operation: 96-42=54
Exploring Operation: 96-42=54, Resulting Numbers: [42, 54]
Generated Node #0,2,3: 38:[42, 54] Operation: 96-42=54
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[42, 54], Operations: ['88-46=42', '96-42=54']
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,38 unequal: No Solution
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No 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: 38:[42, 54], Operations: ['88-46=42', '96-42=54']
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,38 unequal: No Solution
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No 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: 38:[96, 1], Operations: ['88-46=42', '42/42=1']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,38 unequal: No Solution
No 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: 38:[96, 0], Operations: ['88-46=42', '42-42=0']
Exploring Operation: 96+0=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 96-0=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 96*0=0, Resulting Numbers: [0]
0,38 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: 38:[88, 42, 50], Operations: ['96-46=50']
Exploring Operation: 88+42=130, Resulting Numbers: [50, 130]
Generated Node #0,1,0: 38:[50, 130] Operation: 88+42=130
Exploring Operation: 50-42=8, Resulting Numbers: [88, 8]
Generated Node #0,1,1: 38:[88, 8] Operation: 50-42=8
Exploring Operation: 88-50=38, Resulting Numbers: [42, 38]
Generated Node #0,1,2: 38:[42, 38] Operation: 88-50=38
Exploring Operation: 88-42=46, Resulting Numbers: [50, 46]
Generated Node #0,1,3: 38:[50, 46] Operation: 88-42=46
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 38:[42, 38], Operations: ['96-46=50', '88-50=38']
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 42*38=1596, Resulting Numbers: [1596]
1596,38 unequal: No Solution
Exploring Operation: 42+38=80, Resulting Numbers: [80]
80,38 unequal: No Solution
No 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: 38:[50, 46], Operations: ['96-46=50', '88-42=46']
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 50*46=2300, Resulting Numbers: [2300]
2300,38 unequal: No Solution
No 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: 38:[88, 8], Operations: ['96-46=50', '50-42=8']
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 88*8=704, Resulting Numbers: [704]
704,38 unequal: No Solution
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,38 unequal: No Solution
No 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: 38:[50, 130], Operations: ['96-46=50', '88+42=130']
Exploring Operation: 130-50=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 50*130=6500, Resulting Numbers: [6500]
6500,38 unequal: No Solution
Exploring Operation: 50+130=180, Resulting Numbers: [180]
180,38 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: 38:[88, 46, 54], Operations: ['96-42=54']
Exploring Operation: 88-46=42, Resulting Numbers: [54, 42]
Generated Node #0,3,0: 38:[54, 42] Operation: 88-46=42
Exploring Operation: 88-54=34, Resulting Numbers: [46, 34]
Generated Node #0,3,1: 38:[46, 34] Operation: 88-54=34
Exploring Operation: 54-46=8, Resulting Numbers: [88, 8]
Generated Node #0,3,2: 38:[88, 8] Operation: 54-46=8
Exploring Operation: 88+46=134, Resulting Numbers: [54, 134]
Generated Node #0,3,3: 38:[54, 134] Operation: 88+46=134
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 38:[46, 34], Operations: ['96-42=54', '88-54=34']
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,38 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No 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: 38:[54, 42], Operations: ['96-42=54', '88-46=42']
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,38 unequal: No Solution
No 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: 38:[88, 8], Operations: ['96-42=54', '54-46=8']
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,38 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 88*8=704, Resulting Numbers: [704]
704,38 unequal: No Solution
No 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: 38:[54, 134], Operations: ['96-42=54', '88+46=134']
Exploring Operation: 134-54=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 54+134=188, Resulting Numbers: [188]
188,38 unequal: No Solution
Exploring Operation: 54*134=7236, Resulting Numbers: [7236]
7236,38 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 |
[
18,
2,
51,
39
] | 36 | [
"51-18=33",
"39+33=72",
"72/2=36"
] | Current State: 36:[18, 2, 51, 39], Operations: []
Exploring Operation: 51-18=33, Resulting Numbers: [2, 39, 33]
Generated Node #2: [2, 39, 33] from Operation: 51-18=33
Current State: 36:[2, 39, 33], Operations: ['51-18=33']
Exploring Operation: 39+33=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 39+33=72
Current State: 36:[2, 72], Operations: ['51-18=33', '39+33=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[18, 2, 51, 39], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [18, 2, 12]
Generated Node #0,0: 36:[18, 2, 12] Operation: 51-39=12
Exploring Operation: 51-18=33, Resulting Numbers: [2, 39, 33]
Generated Node #0,1: 36:[2, 39, 33] Operation: 51-18=33
Moving to Node #0,0
Current State: 36:[18, 2, 12], Operations: ['51-39=12']
Exploring Operation: 18*2=36, Resulting Numbers: [12, 36]
Generated Node #0,0,0: 36:[12, 36] Operation: 18*2=36
Exploring Operation: 18/2=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 36:[12, 9] Operation: 18/2=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[12, 36], Operations: ['51-39=12', '18*2=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 36:[12, 9], Operations: ['51-39=12', '18/2=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 36:[2, 39, 33], Operations: ['51-18=33']
Exploring Operation: 39-2=37, Resulting Numbers: [33, 37]
Generated Node #0,1,0: 36:[33, 37] Operation: 39-2=37
Exploring Operation: 39-33=6, Resulting Numbers: [2, 6]
Generated Node #0,1,1: 36:[2, 6] Operation: 39-33=6
Moving to Node #0,1,1
Current State: 36:[2, 6], Operations: ['51-18=33', '39-33=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[33, 37], Operations: ['51-18=33', '39-2=37']
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,36 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
20,
79,
48,
55
] | 92 | [
"20+79=99",
"55-48=7",
"99-7=92"
] | Current State: 92:[20, 79, 48, 55], Operations: []
Exploring Operation: 20+79=99, Resulting Numbers: [48, 55, 99]
Generated Node #2: [48, 55, 99] from Operation: 20+79=99
Current State: 92:[48, 55, 99], Operations: ['20+79=99']
Exploring Operation: 55-48=7, Resulting Numbers: [99, 7]
Generated Node #3: [99, 7] from Operation: 55-48=7
Current State: 92:[99, 7], Operations: ['20+79=99', '55-48=7']
Exploring Operation: 99-7=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[20, 79, 48, 55], Operations: []
Exploring Operation: 79-20=59, Resulting Numbers: [48, 55, 59]
Generated Node #0,0: 92:[48, 55, 59] Operation: 79-20=59
Exploring Operation: 79-48=31, Resulting Numbers: [20, 55, 31]
Generated Node #0,1: 92:[20, 55, 31] Operation: 79-48=31
Exploring Operation: 55-48=7, Resulting Numbers: [20, 79, 7]
Generated Node #0,2: 92:[20, 79, 7] Operation: 55-48=7
Exploring Operation: 79-55=24, Resulting Numbers: [20, 48, 24]
Generated Node #0,3: 92:[20, 48, 24] Operation: 79-55=24
Exploring Operation: 20+79=99, Resulting Numbers: [48, 55, 99]
Generated Node #0,4: 92:[48, 55, 99] Operation: 20+79=99
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[20, 48, 24], Operations: ['79-55=24']
Exploring Operation: 24-20=4, Resulting Numbers: [48, 4]
Generated Node #0,3,0: 92:[48, 4] Operation: 24-20=4
Exploring Operation: 48-24=24, Resulting Numbers: [20, 24]
Generated Node #0,3,1: 92:[20, 24] Operation: 48-24=24
Exploring Operation: 48-20=28, Resulting Numbers: [24, 28]
Generated Node #0,3,2: 92:[24, 28] Operation: 48-20=28
Exploring Operation: 20+24=44, Resulting Numbers: [48, 44]
Generated Node #0,3,3: 92:[48, 44] Operation: 20+24=44
Exploring Operation: 48/24=2, Resulting Numbers: [20, 2]
Generated Node #0,3,4: 92:[20, 2] Operation: 48/24=2
Moving to Node #0,3,0
Current State: 92:[48, 4], Operations: ['79-55=24', '24-20=4']
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,92 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[20, 2], Operations: ['79-55=24', '48/24=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[20, 24], Operations: ['79-55=24', '48-24=24']
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[48, 44], Operations: ['79-55=24', '20+24=44']
Exploring Operation: 48*44=2112, Resulting Numbers: [2112]
2112,92 unequal: No Solution
Exploring Operation: 48-44=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[20, 79, 48, 55], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [20, 48, 24]
Generated Node #0,3: 92:[20, 48, 24] Operation: 79-55=24
Moving to Node #0,3
Current State: 92:[20, 48, 24], Operations: ['79-55=24']
Exploring Operation: 20+24=44, Resulting Numbers: [48, 44]
Generated Node #0,3,3: 92:[48, 44] Operation: 20+24=44
Moving to Node #0,3,3
Current State: 92:[48, 44], Operations: ['79-55=24', '20+24=44']
Exploring Operation: 48+44=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | sum_heuristic |
[
61,
10,
20,
74
] | 98 | [
"20/10=2",
"74/2=37",
"61+37=98"
] | Current State: 98:[61, 10, 20, 74], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [61, 74, 2]
Generated Node #2: [61, 74, 2] from Operation: 20/10=2
Current State: 98:[61, 74, 2], Operations: ['20/10=2']
Exploring Operation: 74/2=37, Resulting Numbers: [61, 37]
Generated Node #3: [61, 37] from Operation: 74/2=37
Current State: 98:[61, 37], Operations: ['20/10=2', '74/2=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[61, 10, 20, 74], Operations: []
Exploring Operation: 74-20=54, Resulting Numbers: [61, 10, 54]
Generated Node #0,0: 98:[61, 10, 54] Operation: 74-20=54
Exploring Operation: 20+74=94, Resulting Numbers: [61, 10, 94]
Generated Node #0,1: 98:[61, 10, 94] Operation: 20+74=94
Exploring Operation: 74-61=13, Resulting Numbers: [10, 20, 13]
Generated Node #0,2: 98:[10, 20, 13] Operation: 74-61=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[10, 20, 13], Operations: ['74-61=13']
Exploring Operation: 20/10=2, Resulting Numbers: [13, 2]
Generated Node #0,2,0: 98:[13, 2] Operation: 20/10=2
Exploring Operation: 20-10=10, Resulting Numbers: [13, 10]
Generated Node #0,2,1: 98:[13, 10] Operation: 20-10=10
Exploring Operation: 20-13=7, Resulting Numbers: [10, 7]
Generated Node #0,2,2: 98:[10, 7] Operation: 20-13=7
Moving to Node #0,2,0
Current State: 98:[13, 2], Operations: ['74-61=13', '20/10=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,98 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[10, 7], Operations: ['74-61=13', '20-13=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[13, 10], Operations: ['74-61=13', '20-10=10']
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,98 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,98 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:[61, 10, 94], Operations: ['20+74=94']
Exploring Operation: 94-61=33, Resulting Numbers: [10, 33]
Generated Node #0,1,0: 98:[10, 33] Operation: 94-61=33
Exploring Operation: 61-10=51, Resulting Numbers: [94, 51]
Generated Node #0,1,1: 98:[94, 51] Operation: 61-10=51
Exploring Operation: 10+94=104, Resulting Numbers: [61, 104]
Generated Node #0,1,2: 98:[61, 104] Operation: 10+94=104
Moving to Node #0,1,1
Current State: 98:[94, 51], Operations: ['20+74=94', '61-10=51']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 94+51=145, Resulting Numbers: [145]
145,98 unequal: No Solution
Exploring Operation: 94*51=4794, Resulting Numbers: [4794]
4794,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[61, 104], Operations: ['20+74=94', '10+94=104']
Exploring Operation: 104-61=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 61*104=6344, Resulting Numbers: [6344]
6344,98 unequal: No Solution
Exploring Operation: 61+104=165, Resulting Numbers: [165]
165,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[10, 33], Operations: ['20+74=94', '94-61=33']
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,98 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,98 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[61, 10, 54], Operations: ['74-20=54']
Exploring Operation: 54-10=44, Resulting Numbers: [61, 44]
Generated Node #0,0,0: 98:[61, 44] Operation: 54-10=44
Exploring Operation: 61-54=7, Resulting Numbers: [10, 7]
Generated Node #0,0,1: 98:[10, 7] Operation: 61-54=7
Exploring Operation: 61-10=51, Resulting Numbers: [54, 51]
Generated Node #0,0,2: 98:[54, 51] Operation: 61-10=51
Moving to Node #0,0,1
Current State: 98:[10, 7], Operations: ['74-20=54', '61-54=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,98 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[54, 51], Operations: ['74-20=54', '61-10=51']
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,98 unequal: No Solution
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[61, 44], Operations: ['74-20=54', '54-10=44']
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,98 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,98 unequal: No Solution
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
44,
84,
77
] | 96 | [
"2*44=88",
"84*88=7392",
"7392/77=96"
] | Current State: 96:[2, 44, 84, 77], Operations: []
Exploring Operation: 2*44=88, Resulting Numbers: [84, 77, 88]
Generated Node #2: [84, 77, 88] from Operation: 2*44=88
Current State: 96:[84, 77, 88], Operations: ['2*44=88']
Exploring Operation: 84*88=7392, Resulting Numbers: [77, 7392]
Generated Node #3: [77, 7392] from Operation: 84*88=7392
Current State: 96:[77, 7392], Operations: ['2*44=88', '84*88=7392']
Exploring Operation: 7392/77=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[2, 44, 84, 77], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [2, 44, 7]
Generated Node #0,0: 96:[2, 44, 7] Operation: 84-77=7
Moving to Node #0,0
Current State: 96:[2, 44, 7], Operations: ['84-77=7']
Exploring Operation: 2+44=46, Resulting Numbers: [7, 46]
Generated Node #0,0,0: 96:[7, 46] Operation: 2+44=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[7, 46], Operations: ['84-77=7', '2+44=46']
Exploring Operation: 7+46=53, Resulting Numbers: [53]
53,96 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 |
[
30,
17,
19,
68
] | 44 | [
"30-19=11",
"68/17=4",
"11*4=44"
] | Current State: 44:[30, 17, 19, 68], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [17, 68, 11]
Generated Node #2: [17, 68, 11] from Operation: 30-19=11
Current State: 44:[17, 68, 11], Operations: ['30-19=11']
Exploring Operation: 68/17=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 68/17=4
Current State: 44:[11, 4], Operations: ['30-19=11', '68/17=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[30, 17, 19, 68], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [30, 19, 4]
Generated Node #0,0: 44:[30, 19, 4] Operation: 68/17=4
Exploring Operation: 68-30=38, Resulting Numbers: [17, 19, 38]
Generated Node #0,1: 44:[17, 19, 38] Operation: 68-30=38
Exploring Operation: 68-17=51, Resulting Numbers: [30, 19, 51]
Generated Node #0,2: 44:[30, 19, 51] Operation: 68-17=51
Moving to Node #0,0
Current State: 44:[30, 19, 4], Operations: ['68/17=4']
Exploring Operation: 30-4=26, Resulting Numbers: [19, 26]
Generated Node #0,0,0: 44:[19, 26] Operation: 30-4=26
Exploring Operation: 30+19=49, Resulting Numbers: [4, 49]
Generated Node #0,0,1: 44:[4, 49] Operation: 30+19=49
Exploring Operation: 30-19=11, Resulting Numbers: [4, 11]
Generated Node #0,0,2: 44:[4, 11] Operation: 30-19=11
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[4, 11], Operations: ['68/17=4', '30-19=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[30, 17, 19, 68], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [30, 19, 4]
Generated Node #0,0: 44:[30, 19, 4] Operation: 68/17=4
Moving to Node #0,0
Current State: 44:[30, 19, 4], Operations: ['68/17=4']
Exploring Operation: 30-19=11, Resulting Numbers: [4, 11]
Generated Node #0,0,2: 44:[4, 11] Operation: 30-19=11
Moving to Node #0,0,2
Current State: 44:[4, 11], Operations: ['68/17=4', '30-19=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
7,
20,
81,
40
] | 59 | [
"40-20=20",
"7*20=140",
"140-81=59"
] | Current State: 59:[7, 20, 81, 40], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [7, 81, 20]
Generated Node #2: [7, 81, 20] from Operation: 40-20=20
Current State: 59:[7, 81, 20], Operations: ['40-20=20']
Exploring Operation: 7*20=140, Resulting Numbers: [81, 140]
Generated Node #3: [81, 140] from Operation: 7*20=140
Current State: 59:[81, 140], Operations: ['40-20=20', '7*20=140']
Exploring Operation: 140-81=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[7, 20, 81, 40], Operations: []
Exploring Operation: 7+20=27, Resulting Numbers: [81, 40, 27]
Generated Node #0,0: 59:[81, 40, 27] Operation: 7+20=27
Exploring Operation: 81-20=61, Resulting Numbers: [7, 40, 61]
Generated Node #0,1: 59:[7, 40, 61] Operation: 81-20=61
Exploring Operation: 7+40=47, Resulting Numbers: [20, 81, 47]
Generated Node #0,2: 59:[20, 81, 47] Operation: 7+40=47
Exploring Operation: 81-7=74, Resulting Numbers: [20, 40, 74]
Generated Node #0,3: 59:[20, 40, 74] Operation: 81-7=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[81, 40, 27], Operations: ['7+20=27']
Exploring Operation: 81-27=54, Resulting Numbers: [40, 54]
Generated Node #0,0,0: 59:[40, 54] Operation: 81-27=54
Exploring Operation: 81+27=108, Resulting Numbers: [40, 108]
Generated Node #0,0,1: 59:[40, 108] Operation: 81+27=108
Exploring Operation: 81-40=41, Resulting Numbers: [27, 41]
Generated Node #0,0,2: 59:[27, 41] Operation: 81-40=41
Exploring Operation: 40+27=67, Resulting Numbers: [81, 67]
Generated Node #0,0,3: 59:[81, 67] Operation: 40+27=67
Moving to Node #0,0,0
Current State: 59:[40, 54], Operations: ['7+20=27', '81-27=54']
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,59 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[81, 67], Operations: ['7+20=27', '40+27=67']
Exploring Operation: 81-67=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 81*67=5427, Resulting Numbers: [5427]
5427,59 unequal: No Solution
Exploring Operation: 81+67=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[27, 41], Operations: ['7+20=27', '81-40=41']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[40, 108], Operations: ['7+20=27', '81+27=108']
Exploring Operation: 40*108=4320, Resulting Numbers: [4320]
4320,59 unequal: No Solution
Exploring Operation: 40+108=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Exploring Operation: 108-40=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 #0,1
Current State: 59:[7, 40, 61], Operations: ['81-20=61']
Exploring Operation: 7+61=68, Resulting Numbers: [40, 68]
Generated Node #0,1,0: 59:[40, 68] Operation: 7+61=68
Exploring Operation: 40-7=33, Resulting Numbers: [61, 33]
Generated Node #0,1,1: 59:[61, 33] Operation: 40-7=33
Exploring Operation: 7+40=47, Resulting Numbers: [61, 47]
Generated Node #0,1,2: 59:[61, 47] Operation: 7+40=47
Exploring Operation: 61-7=54, Resulting Numbers: [40, 54]
Generated Node #0,1,3: 59:[40, 54] Operation: 61-7=54
Moving to Node #0,1,2
Current State: 59:[61, 47], Operations: ['81-20=61', '7+40=47']
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 61*47=2867, Resulting Numbers: [2867]
2867,59 unequal: No Solution
Exploring Operation: 61+47=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[40, 54], Operations: ['81-20=61', '61-7=54']
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,59 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[61, 33], Operations: ['81-20=61', '40-7=33']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 61+33=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 61*33=2013, Resulting Numbers: [2013]
2013,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[40, 68], Operations: ['81-20=61', '7+61=68']
Exploring Operation: 68-40=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 40*68=2720, Resulting Numbers: [2720]
2720,59 unequal: No Solution
Exploring Operation: 40+68=108, Resulting Numbers: [108]
108,59 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:[20, 81, 47], Operations: ['7+40=47']
Exploring Operation: 47-20=27, Resulting Numbers: [81, 27]
Generated Node #0,2,0: 59:[81, 27] Operation: 47-20=27
Exploring Operation: 20+47=67, Resulting Numbers: [81, 67]
Generated Node #0,2,1: 59:[81, 67] Operation: 20+47=67
Exploring Operation: 20+81=101, Resulting Numbers: [47, 101]
Generated Node #0,2,2: 59:[47, 101] Operation: 20+81=101
Exploring Operation: 81-20=61, Resulting Numbers: [47, 61]
Generated Node #0,2,3: 59:[47, 61] Operation: 81-20=61
Moving to Node #0,2,3
Current State: 59:[47, 61], Operations: ['7+40=47', '81-20=61']
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[81, 67], Operations: ['7+40=47', '20+47=67']
Exploring Operation: 81-67=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 81*67=5427, Resulting Numbers: [5427]
5427,59 unequal: No Solution
Exploring Operation: 81+67=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[47, 101], Operations: ['7+40=47', '20+81=101']
Exploring Operation: 47+101=148, Resulting Numbers: [148]
148,59 unequal: No Solution
Exploring Operation: 47*101=4747, Resulting Numbers: [4747]
4747,59 unequal: No Solution
Exploring Operation: 101-47=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[81, 27], Operations: ['7+40=47', '47-20=27']
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,59 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,59 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:[20, 40, 74], Operations: ['81-7=74']
Exploring Operation: 74-20=54, Resulting Numbers: [40, 54]
Generated Node #0,3,0: 59:[40, 54] Operation: 74-20=54
Exploring Operation: 40-20=20, Resulting Numbers: [74, 20]
Generated Node #0,3,1: 59:[74, 20] Operation: 40-20=20
Exploring Operation: 20+40=60, Resulting Numbers: [74, 60]
Generated Node #0,3,2: 59:[74, 60] Operation: 20+40=60
Exploring Operation: 20+74=94, Resulting Numbers: [40, 94]
Generated Node #0,3,3: 59:[40, 94] Operation: 20+74=94
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 59:[74, 60], Operations: ['81-7=74', '20+40=60']
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,59 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,59 unequal: No Solution
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 59:[40, 54], Operations: ['81-7=74', '74-20=54']
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,59 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 59:[74, 20], Operations: ['81-7=74', '40-20=20']
Exploring Operation: 74*20=1480, Resulting Numbers: [1480]
1480,59 unequal: No Solution
Exploring Operation: 74-20=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 74+20=94, Resulting Numbers: [94]
94,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 59:[40, 94], Operations: ['81-7=74', '20+74=94']
Exploring Operation: 40*94=3760, Resulting Numbers: [3760]
3760,59 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 40+94=134, Resulting Numbers: [134]
134,59 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_4 | sum_heuristic |
[
9,
28,
71,
9
] | 38 | [
"9*9=81",
"71-28=43",
"81-43=38"
] | Current State: 38:[9, 28, 71, 9], Operations: []
Exploring Operation: 9*9=81, Resulting Numbers: [28, 71, 81]
Generated Node #2: [28, 71, 81] from Operation: 9*9=81
Current State: 38:[28, 71, 81], Operations: ['9*9=81']
Exploring Operation: 71-28=43, Resulting Numbers: [81, 43]
Generated Node #3: [81, 43] from Operation: 71-28=43
Current State: 38:[81, 43], Operations: ['9*9=81', '71-28=43']
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[9, 28, 71, 9], Operations: []
Exploring Operation: 28-9=19, Resulting Numbers: [71, 9, 19]
Generated Node #0,0: 38:[71, 9, 19] Operation: 28-9=19
Exploring Operation: 71-28=43, Resulting Numbers: [9, 9, 43]
Generated Node #0,1: 38:[9, 9, 43] Operation: 71-28=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[9, 9, 43], Operations: ['71-28=43']
Exploring Operation: 9/9=1, Resulting Numbers: [43, 1]
Generated Node #0,1,0: 38:[43, 1] Operation: 9/9=1
Exploring Operation: 9+9=18, Resulting Numbers: [43, 18]
Generated Node #0,1,1: 38:[43, 18] Operation: 9+9=18
Moving to Node #0,1,0
Current State: 38:[43, 1], Operations: ['71-28=43', '9/9=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[43, 18], Operations: ['71-28=43', '9+9=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No 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: 38:[71, 9, 19], Operations: ['28-9=19']
Exploring Operation: 71-9=62, Resulting Numbers: [19, 62]
Generated Node #0,0,0: 38:[19, 62] Operation: 71-9=62
Exploring Operation: 71-19=52, Resulting Numbers: [9, 52]
Generated Node #0,0,1: 38:[9, 52] Operation: 71-19=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[9, 52], Operations: ['28-9=19', '71-19=52']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 9+52=61, Resulting Numbers: [61]
61,38 unequal: No Solution
No 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: 38:[19, 62], Operations: ['28-9=19', '71-9=62']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,38 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 |
[
27,
3,
3,
24
] | 63 | [
"27/3=9",
"3*24=72",
"72-9=63"
] | Current State: 63:[27, 3, 3, 24], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [24, 9]
Generated Node #2: [24, 9] from Operation: 27/3=9
Current State: 63:[24, 9], Operations: ['27/3=9']
Exploring Operation: 3*24=72, Resulting Numbers: [9, 72]
Generated Node #3: [9, 72] from Operation: 3*24=72
Current State: 63:[9, 72], Operations: ['27/3=9', '3*24=72']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[27, 3, 3, 24], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [3, 3, 3]
Generated Node #0,0: 63:[3, 3, 3] Operation: 27-24=3
Exploring Operation: 27/3=9, Resulting Numbers: [3, 24, 9]
Generated Node #0,1: 63:[3, 24, 9] Operation: 27/3=9
Exploring Operation: 27-3=24, Resulting Numbers: [3, 24, 24]
Generated Node #0,2: 63:[3, 24, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [3, 24, 9]
Generated Node #0,3: 63:[3, 24, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[3, 3, 3], Operations: ['27-24=3']
Exploring Operation: 3*3=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 63:[3, 9] Operation: 3*3=9
Exploring Operation: 3+3=6, Resulting Numbers: [3, 6]
Generated Node #0,0,1: 63:[3, 6] Operation: 3+3=6
Exploring Operation: 3*3=9, Resulting Numbers: [3, 9]
Generated Node #0,0,2: 63:[3, 9] Operation: 3*3=9
Exploring Operation: 3*3=9, Resulting Numbers: [3, 9]
Generated Node #0,0,3: 63:[3, 9] Operation: 3*3=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[3, 9], Operations: ['27-24=3', '3*3=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 63:[3, 9], Operations: ['27-24=3', '3*3=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 63:[3, 9], Operations: ['27-24=3', '3*3=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[3, 6], Operations: ['27-24=3', '3+3=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[3, 24, 9], Operations: ['27/3=9']
Exploring Operation: 24-3=21, Resulting Numbers: [9, 21]
Generated Node #0,1,0: 63:[9, 21] Operation: 24-3=21
Exploring Operation: 9-3=6, Resulting Numbers: [24, 6]
Generated Node #0,1,1: 63:[24, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [24, 3]
Generated Node #0,1,2: 63:[24, 3] Operation: 9/3=3
Exploring Operation: 24/3=8, Resulting Numbers: [9, 8]
Generated Node #0,1,3: 63:[9, 8] Operation: 24/3=8
Moving to Node #0,1,0
Current State: 63:[9, 21], Operations: ['27/3=9', '24-3=21']
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,63 unequal: No Solution
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Moving to Node #0,1,3
Current State: 63:[9, 8], Operations: ['27/3=9', '24/3=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Moving to Node #0,1,2
Current State: 63:[24, 3], Operations: ['27/3=9', '9/3=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[24, 6], Operations: ['27/3=9', '9-3=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,63 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[3, 24, 9], Operations: ['27/3=9']
Exploring Operation: 24/3=8, Resulting Numbers: [9, 8]
Generated Node #0,3,0: 63:[9, 8] Operation: 24/3=8
Exploring Operation: 9/3=3, Resulting Numbers: [24, 3]
Generated Node #0,3,1: 63:[24, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [24, 6]
Generated Node #0,3,2: 63:[24, 6] Operation: 9-3=6
Exploring Operation: 24-3=21, Resulting Numbers: [9, 21]
Generated Node #0,3,3: 63:[9, 21] Operation: 24-3=21
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 63:[9, 21], Operations: ['27/3=9', '24-3=21']
Exploring Operation: 9*21=189, Resulting Numbers: [189]
189,63 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 9+21=30, Resulting Numbers: [30]
30,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 63:[9, 8], Operations: ['27/3=9', '24/3=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 63:[24, 3], Operations: ['27/3=9', '9/3=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,63 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 63:[24, 6], Operations: ['27/3=9', '9-3=6']
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,63 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[3, 24, 24], Operations: ['27-3=24']
Exploring Operation: 24-3=21, Resulting Numbers: [24, 21]
Generated Node #0,2,0: 63:[24, 21] Operation: 24-3=21
Exploring Operation: 24-3=21, Resulting Numbers: [24, 21]
Generated Node #0,2,1: 63:[24, 21] Operation: 24-3=21
Exploring Operation: 24-24=0, Resulting Numbers: [3, 0]
Generated Node #0,2,2: 63:[3, 0] Operation: 24-24=0
Exploring Operation: 24/24=1, Resulting Numbers: [3, 1]
Generated Node #0,2,3: 63:[3, 1] Operation: 24/24=1
Moving to Node #0,2,3
Current State: 63:[3, 1], Operations: ['27-3=24', '24/24=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[24, 21], Operations: ['27-3=24', '24-3=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,63 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[24, 21], Operations: ['27-3=24', '24-3=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,63 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,63 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[3, 0], Operations: ['27-3=24', '24-24=0']
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
14,
68,
33
] | 28 | [
"67-33=34",
"14*68=952",
"952/34=28"
] | Current State: 28:[67, 14, 68, 33], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [14, 68, 34]
Generated Node #2: [14, 68, 34] from Operation: 67-33=34
Current State: 28:[14, 68, 34], Operations: ['67-33=34']
Exploring Operation: 14*68=952, Resulting Numbers: [34, 952]
Generated Node #3: [34, 952] from Operation: 14*68=952
Current State: 28:[34, 952], Operations: ['67-33=34', '14*68=952']
Exploring Operation: 952/34=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[67, 14, 68, 33], Operations: []
Exploring Operation: 68-67=1, Resulting Numbers: [14, 33, 1]
Generated Node #0,0: 28:[14, 33, 1] Operation: 68-67=1
Moving to Node #0,0
Current State: 28:[14, 33, 1], Operations: ['68-67=1']
Exploring Operation: 33-1=32, Resulting Numbers: [14, 32]
Generated Node #0,0,0: 28:[14, 32] Operation: 33-1=32
Moving to Node #0,0,0
Current State: 28:[14, 32], Operations: ['68-67=1', '33-1=32']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,28 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
38,
66,
71,
33
] | 66 | [
"38+66=104",
"71-33=38",
"104-38=66"
] | Current State: 66:[38, 66, 71, 33], Operations: []
Exploring Operation: 38+66=104, Resulting Numbers: [71, 33, 104]
Generated Node #2: [71, 33, 104] from Operation: 38+66=104
Current State: 66:[71, 33, 104], Operations: ['38+66=104']
Exploring Operation: 71-33=38, Resulting Numbers: [104, 38]
Generated Node #3: [104, 38] from Operation: 71-33=38
Current State: 66:[104, 38], Operations: ['38+66=104', '71-33=38']
Exploring Operation: 104-38=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[38, 66, 71, 33], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [66, 33, 33]
Generated Node #0,0: 66:[66, 33, 33] Operation: 71-38=33
Exploring Operation: 38-33=5, Resulting Numbers: [66, 71, 5]
Generated Node #0,1: 66:[66, 71, 5] Operation: 38-33=5
Moving to Node #0,0
Current State: 66:[66, 33, 33], Operations: ['71-38=33']
Exploring Operation: 66/33=2, Resulting Numbers: [33, 2]
Generated Node #0,0,0: 66:[33, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [33, 33]
Generated Node #0,0,1: 66:[33, 33] Operation: 66-33=33
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[33, 2], Operations: ['71-38=33', '66/33=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[38, 66, 71, 33], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [66, 33, 33]
Generated Node #0,0: 66:[66, 33, 33] Operation: 71-38=33
Moving to Node #0,0
Current State: 66:[66, 33, 33], Operations: ['71-38=33']
Exploring Operation: 66/33=2, Resulting Numbers: [33, 2]
Generated Node #0,0,0: 66:[33, 2] Operation: 66/33=2
Moving to Node #0,0,0
Current State: 66:[33, 2], Operations: ['71-38=33', '66/33=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
93,
92,
87,
63
] | 24 | [
"93-92=1",
"87-63=24",
"1*24=24"
] | Current State: 24:[93, 92, 87, 63], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [87, 63, 1]
Generated Node #2: [87, 63, 1] from Operation: 93-92=1
Current State: 24:[87, 63, 1], Operations: ['93-92=1']
Exploring Operation: 87-63=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 87-63=24
Current State: 24:[1, 24], Operations: ['93-92=1', '87-63=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[93, 92, 87, 63], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [92, 63, 6]
Generated Node #0,0: 24:[92, 63, 6] Operation: 93-87=6
Exploring Operation: 93-92=1, Resulting Numbers: [87, 63, 1]
Generated Node #0,1: 24:[87, 63, 1] Operation: 93-92=1
Moving to Node #0,1
Current State: 24:[87, 63, 1], Operations: ['93-92=1']
Exploring Operation: 87-1=86, Resulting Numbers: [63, 86]
Generated Node #0,1,0: 24:[63, 86] Operation: 87-1=86
Exploring Operation: 87-63=24, Resulting Numbers: [1, 24]
Generated Node #0,1,1: 24:[1, 24] Operation: 87-63=24
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[1, 24], Operations: ['93-92=1', '87-63=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[93, 92, 87, 63], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [87, 63, 1]
Generated Node #0,1: 24:[87, 63, 1] Operation: 93-92=1
Moving to Node #0,1
Current State: 24:[87, 63, 1], Operations: ['93-92=1']
Exploring Operation: 87-63=24, Resulting Numbers: [1, 24]
Generated Node #0,1,1: 24:[1, 24] Operation: 87-63=24
Moving to Node #0,1,1
Current State: 24:[1, 24], Operations: ['93-92=1', '87-63=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
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