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 |
|---|---|---|---|---|---|---|---|---|
[
31,
37,
61,
72
] | 79 | [
"31+37=68",
"72-61=11",
"68+11=79"
] | Current State: 79:[31, 37, 61, 72], Operations: []
Exploring Operation: 31+37=68, Resulting Numbers: [61, 72, 68]
Generated Node #2: [61, 72, 68] from Operation: 31+37=68
Current State: 79:[61, 72, 68], Operations: ['31+37=68']
Exploring Operation: 72-61=11, Resulting Numbers: [68, 11]
Generated Node #3: [68, 11] from Operation: 72-61=11
Current State: 79:[68, 11], Operations: ['31+37=68', '72-61=11']
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[31, 37, 61, 72], Operations: []
Exploring Operation: 37+61=98, Resulting Numbers: [31, 72, 98]
Generated Node #0,0: 79:[31, 72, 98] Operation: 37+61=98
Exploring Operation: 31+37=68, Resulting Numbers: [61, 72, 68]
Generated Node #0,1: 79:[61, 72, 68] Operation: 31+37=68
Exploring Operation: 37+72=109, Resulting Numbers: [31, 61, 109]
Generated Node #0,2: 79:[31, 61, 109] Operation: 37+72=109
Exploring Operation: 31+72=103, Resulting Numbers: [37, 61, 103]
Generated Node #0,3: 79:[37, 61, 103] Operation: 31+72=103
Exploring Operation: 31+61=92, Resulting Numbers: [37, 72, 92]
Generated Node #0,4: 79:[37, 72, 92] Operation: 31+61=92
Moving to Node #0,1
Current State: 79:[61, 72, 68], Operations: ['31+37=68']
Exploring Operation: 68-61=7, Resulting Numbers: [72, 7]
Generated Node #0,1,0: 79:[72, 7] Operation: 68-61=7
Exploring Operation: 61+68=129, Resulting Numbers: [72, 129]
Generated Node #0,1,1: 79:[72, 129] Operation: 61+68=129
Exploring Operation: 61+72=133, Resulting Numbers: [68, 133]
Generated Node #0,1,2: 79:[68, 133] Operation: 61+72=133
Exploring Operation: 72+68=140, Resulting Numbers: [61, 140]
Generated Node #0,1,3: 79:[61, 140] Operation: 72+68=140
Exploring Operation: 72-61=11, Resulting Numbers: [68, 11]
Generated Node #0,1,4: 79:[68, 11] Operation: 72-61=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[72, 129], Operations: ['31+37=68', '61+68=129']
Exploring Operation: 129-72=57, Resulting Numbers: [57]
57,79 unequal: No Solution
Exploring Operation: 72*129=9288, Resulting Numbers: [9288]
9288,79 unequal: No Solution
Exploring Operation: 72+129=201, Resulting Numbers: [201]
201,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[68, 133], Operations: ['31+37=68', '61+72=133']
Exploring Operation: 133-68=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 68*133=9044, Resulting Numbers: [9044]
9044,79 unequal: No Solution
Exploring Operation: 68+133=201, Resulting Numbers: [201]
201,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[72, 7], Operations: ['31+37=68', '68-61=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,79 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[31, 37, 61, 72], Operations: []
Exploring Operation: 31+37=68, Resulting Numbers: [61, 72, 68]
Generated Node #0,1: 79:[61, 72, 68] Operation: 31+37=68
Moving to Node #0,1
Current State: 79:[61, 72, 68], Operations: ['31+37=68']
Exploring Operation: 68-61=7, Resulting Numbers: [72, 7]
Generated Node #0,1,0: 79:[72, 7] Operation: 68-61=7
Moving to Node #0,1,0
Current State: 79:[72, 7], Operations: ['31+37=68', '68-61=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
95,
25,
11,
90
] | 30 | [
"95-90=5",
"11*5=55",
"55-25=30"
] | Current State: 30:[95, 25, 11, 90], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [25, 11, 5]
Generated Node #2: [25, 11, 5] from Operation: 95-90=5
Current State: 30:[25, 11, 5], Operations: ['95-90=5']
Exploring Operation: 11*5=55, Resulting Numbers: [25, 55]
Generated Node #3: [25, 55] from Operation: 11*5=55
Current State: 30:[25, 55], Operations: ['95-90=5', '11*5=55']
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[95, 25, 11, 90], Operations: []
Exploring Operation: 95-25=70, Resulting Numbers: [11, 90, 70]
Generated Node #0,0: 30:[11, 90, 70] Operation: 95-25=70
Exploring Operation: 90-25=65, Resulting Numbers: [95, 11, 65]
Generated Node #0,1: 30:[95, 11, 65] Operation: 90-25=65
Exploring Operation: 95-90=5, Resulting Numbers: [25, 11, 5]
Generated Node #0,2: 30:[25, 11, 5] Operation: 95-90=5
Exploring Operation: 95-11=84, Resulting Numbers: [25, 90, 84]
Generated Node #0,3: 30:[25, 90, 84] Operation: 95-11=84
Moving to Node #0,2
Current State: 30:[25, 11, 5], Operations: ['95-90=5']
Exploring Operation: 25-11=14, Resulting Numbers: [5, 14]
Generated Node #0,2,0: 30:[5, 14] Operation: 25-11=14
Exploring Operation: 25+5=30, Resulting Numbers: [11, 30]
Generated Node #0,2,1: 30:[11, 30] Operation: 25+5=30
Exploring Operation: 11-5=6, Resulting Numbers: [25, 6]
Generated Node #0,2,2: 30:[25, 6] Operation: 11-5=6
Exploring Operation: 25/5=5, Resulting Numbers: [11, 5]
Generated Node #0,2,3: 30:[11, 5] Operation: 25/5=5
Moving to Node #0,1
Current State: 30:[95, 11, 65], Operations: ['90-25=65']
Exploring Operation: 65-11=54, Resulting Numbers: [95, 54]
Generated Node #0,1,0: 30:[95, 54] Operation: 65-11=54
Exploring Operation: 95+11=106, Resulting Numbers: [65, 106]
Generated Node #0,1,1: 30:[65, 106] Operation: 95+11=106
Exploring Operation: 95-65=30, Resulting Numbers: [11, 30]
Generated Node #0,1,2: 30:[11, 30] Operation: 95-65=30
Exploring Operation: 95-11=84, Resulting Numbers: [65, 84]
Generated Node #0,1,3: 30:[65, 84] Operation: 95-11=84
Moving to Node #0,0
Current State: 30:[11, 90, 70], Operations: ['95-25=70']
Exploring Operation: 90-70=20, Resulting Numbers: [11, 20]
Generated Node #0,0,0: 30:[11, 20] Operation: 90-70=20
Exploring Operation: 11+90=101, Resulting Numbers: [70, 101]
Generated Node #0,0,1: 30:[70, 101] Operation: 11+90=101
Exploring Operation: 70-11=59, Resulting Numbers: [90, 59]
Generated Node #0,0,2: 30:[90, 59] Operation: 70-11=59
Exploring Operation: 90-11=79, Resulting Numbers: [70, 79]
Generated Node #0,0,3: 30:[70, 79] Operation: 90-11=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[11, 20], Operations: ['95-25=70', '90-70=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,30 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,30 unequal: No Solution
No 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: 30:[90, 59], Operations: ['95-25=70', '70-11=59']
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,30 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,30 unequal: No Solution
No 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: 30:[70, 79], Operations: ['95-25=70', '90-11=79']
Exploring Operation: 70+79=149, Resulting Numbers: [149]
149,30 unequal: No Solution
Exploring Operation: 79-70=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 70*79=5530, Resulting Numbers: [5530]
5530,30 unequal: No Solution
No 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: 30:[70, 101], Operations: ['95-25=70', '11+90=101']
Exploring Operation: 101-70=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 70*101=7070, Resulting Numbers: [7070]
7070,30 unequal: No Solution
Exploring Operation: 70+101=171, Resulting Numbers: [171]
171,30 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: 30:[25, 90, 84], Operations: ['95-11=84']
Exploring Operation: 90-25=65, Resulting Numbers: [84, 65]
Generated Node #0,3,0: 30:[84, 65] Operation: 90-25=65
Exploring Operation: 25+90=115, Resulting Numbers: [84, 115]
Generated Node #0,3,1: 30:[84, 115] Operation: 25+90=115
Exploring Operation: 84-25=59, Resulting Numbers: [90, 59]
Generated Node #0,3,2: 30:[90, 59] Operation: 84-25=59
Exploring Operation: 90-84=6, Resulting Numbers: [25, 6]
Generated Node #0,3,3: 30:[25, 6] Operation: 90-84=6
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 30:[25, 6], Operations: ['95-11=84', '90-84=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,30 unequal: No Solution
No 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: 30:[84, 65], Operations: ['95-11=84', '90-25=65']
Exploring Operation: 84*65=5460, Resulting Numbers: [5460]
5460,30 unequal: No Solution
Exploring Operation: 84+65=149, Resulting Numbers: [149]
149,30 unequal: No Solution
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,30 unequal: No Solution
No 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: 30:[90, 59], Operations: ['95-11=84', '84-25=59']
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,30 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,30 unequal: No Solution
No 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: 30:[84, 115], Operations: ['95-11=84', '25+90=115']
Exploring Operation: 84+115=199, Resulting Numbers: [199]
199,30 unequal: No Solution
Exploring Operation: 84*115=9660, Resulting Numbers: [9660]
9660,30 unequal: No Solution
Exploring Operation: 115-84=31, Resulting Numbers: [31]
31,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 30:[5, 14], Operations: ['95-90=5', '25-11=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,30 unequal: No Solution
Moving to Node #0,2,3
Current State: 30:[11, 5], Operations: ['95-90=5', '25/5=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,30 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[11, 30], Operations: ['95-90=5', '25+5=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,30 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[11, 30], Operations: ['90-25=65', '95-65=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,30 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[25, 6], Operations: ['95-90=5', '11-5=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,30 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Moving to Node #0,1,3
Current State: 30:[65, 84], Operations: ['90-25=65', '95-11=84']
Exploring Operation: 65+84=149, Resulting Numbers: [149]
149,30 unequal: No Solution
Exploring Operation: 65*84=5460, Resulting Numbers: [5460]
5460,30 unequal: No Solution
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[95, 54], Operations: ['90-25=65', '65-11=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,30 unequal: No Solution
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[65, 106], Operations: ['90-25=65', '95+11=106']
Exploring Operation: 65*106=6890, Resulting Numbers: [6890]
6890,30 unequal: No Solution
Exploring Operation: 65+106=171, Resulting Numbers: [171]
171,30 unequal: No Solution
Exploring Operation: 106-65=41, Resulting Numbers: [41]
41,30 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
14,
31,
10,
3
] | 62 | [
"14*31=434",
"10-3=7",
"434/7=62"
] | Current State: 62:[14, 31, 10, 3], Operations: []
Exploring Operation: 14*31=434, Resulting Numbers: [10, 3, 434]
Generated Node #2: [10, 3, 434] from Operation: 14*31=434
Current State: 62:[10, 3, 434], Operations: ['14*31=434']
Exploring Operation: 10-3=7, Resulting Numbers: [434, 7]
Generated Node #3: [434, 7] from Operation: 10-3=7
Current State: 62:[434, 7], Operations: ['14*31=434', '10-3=7']
Exploring Operation: 434/7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[14, 31, 10, 3], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [31, 3, 4]
Generated Node #0,0: 62:[31, 3, 4] Operation: 14-10=4
Moving to Node #0,0
Current State: 62:[31, 3, 4], Operations: ['14-10=4']
Exploring Operation: 4-3=1, Resulting Numbers: [31, 1]
Generated Node #0,0,0: 62:[31, 1] Operation: 4-3=1
Moving to Node #0,0,0
Current State: 62:[31, 1], Operations: ['14-10=4', '4-3=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,62 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
12,
9,
99
] | 29 | [
"99-20=79",
"12*9=108",
"108-79=29"
] | Current State: 29:[20, 12, 9, 99], Operations: []
Exploring Operation: 99-20=79, Resulting Numbers: [12, 9, 79]
Generated Node #2: [12, 9, 79] from Operation: 99-20=79
Current State: 29:[12, 9, 79], Operations: ['99-20=79']
Exploring Operation: 12*9=108, Resulting Numbers: [79, 108]
Generated Node #3: [79, 108] from Operation: 12*9=108
Current State: 29:[79, 108], Operations: ['99-20=79', '12*9=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[20, 12, 9, 99], Operations: []
Exploring Operation: 20+9=29, Resulting Numbers: [12, 99, 29]
Generated Node #0,0: 29:[12, 99, 29] Operation: 20+9=29
Exploring Operation: 99-20=79, Resulting Numbers: [12, 9, 79]
Generated Node #0,1: 29:[12, 9, 79] Operation: 99-20=79
Exploring Operation: 99/9=11, Resulting Numbers: [20, 12, 11]
Generated Node #0,2: 29:[20, 12, 11] Operation: 99/9=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[20, 12, 11], Operations: ['99/9=11']
Exploring Operation: 20+11=31, Resulting Numbers: [12, 31]
Generated Node #0,2,0: 29:[12, 31] Operation: 20+11=31
Exploring Operation: 20+12=32, Resulting Numbers: [11, 32]
Generated Node #0,2,1: 29:[11, 32] Operation: 20+12=32
Exploring Operation: 12+11=23, Resulting Numbers: [20, 23]
Generated Node #0,2,2: 29:[20, 23] Operation: 12+11=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 29:[20, 23], Operations: ['99/9=11', '12+11=23']
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,29 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 29:[12, 31], Operations: ['99/9=11', '20+11=31']
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,29 unequal: No Solution
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 29:[11, 32], Operations: ['99/9=11', '20+12=32']
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 11*32=352, Resulting Numbers: [352]
352,29 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[12, 99, 29], Operations: ['20+9=29']
Exploring Operation: 99-12=87, Resulting Numbers: [29, 87]
Generated Node #0,0,0: 29:[29, 87] Operation: 99-12=87
Exploring Operation: 99-29=70, Resulting Numbers: [12, 70]
Generated Node #0,0,1: 29:[12, 70] Operation: 99-29=70
Exploring Operation: 12+99=111, Resulting Numbers: [29, 111]
Generated Node #0,0,2: 29:[29, 111] Operation: 12+99=111
Moving to Node #0,0,0
Current State: 29:[29, 87], Operations: ['20+9=29', '99-12=87']
Exploring Operation: 87/29=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 29+87=116, Resulting Numbers: [116]
116,29 unequal: No Solution
Exploring Operation: 87-29=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[12, 70], Operations: ['20+9=29', '99-29=70']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,29 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[29, 111], Operations: ['20+9=29', '12+99=111']
Exploring Operation: 29+111=140, Resulting Numbers: [140]
140,29 unequal: No Solution
Exploring Operation: 29*111=3219, Resulting Numbers: [3219]
3219,29 unequal: No Solution
Exploring Operation: 111-29=82, Resulting Numbers: [82]
82,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[12, 9, 79], Operations: ['99-20=79']
Exploring Operation: 12+9=21, Resulting Numbers: [79, 21]
Generated Node #0,1,0: 29:[79, 21] Operation: 12+9=21
Exploring Operation: 79-9=70, Resulting Numbers: [12, 70]
Generated Node #0,1,1: 29:[12, 70] Operation: 79-9=70
Exploring Operation: 79-12=67, Resulting Numbers: [9, 67]
Generated Node #0,1,2: 29:[9, 67] Operation: 79-12=67
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[79, 21], Operations: ['99-20=79', '12+9=21']
Exploring Operation: 79+21=100, Resulting Numbers: [100]
100,29 unequal: No Solution
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 79*21=1659, Resulting Numbers: [1659]
1659,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[12, 70], Operations: ['99-20=79', '79-9=70']
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,29 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[9, 67], Operations: ['99-20=79', '79-12=67']
Exploring Operation: 9+67=76, Resulting Numbers: [76]
76,29 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 9*67=603, Resulting Numbers: [603]
603,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
34,
49,
19,
20
] | 14 | [
"49-34=15",
"20-19=1",
"15-1=14"
] | Current State: 14:[34, 49, 19, 20], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [19, 20, 15]
Generated Node #2: [19, 20, 15] from Operation: 49-34=15
Current State: 14:[19, 20, 15], Operations: ['49-34=15']
Exploring Operation: 20-19=1, Resulting Numbers: [15, 1]
Generated Node #3: [15, 1] from Operation: 20-19=1
Current State: 14:[15, 1], Operations: ['49-34=15', '20-19=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[34, 49, 19, 20], Operations: []
Exploring Operation: 49-20=29, Resulting Numbers: [34, 19, 29]
Generated Node #0,0: 14:[34, 19, 29] Operation: 49-20=29
Exploring Operation: 34-20=14, Resulting Numbers: [49, 19, 14]
Generated Node #0,1: 14:[49, 19, 14] Operation: 34-20=14
Exploring Operation: 49-34=15, Resulting Numbers: [19, 20, 15]
Generated Node #0,2: 14:[19, 20, 15] Operation: 49-34=15
Moving to Node #0,2
Current State: 14:[19, 20, 15], Operations: ['49-34=15']
Exploring Operation: 20-19=1, Resulting Numbers: [15, 1]
Generated Node #0,2,0: 14:[15, 1] Operation: 20-19=1
Exploring Operation: 20-15=5, Resulting Numbers: [19, 5]
Generated Node #0,2,1: 14:[19, 5] Operation: 20-15=5
Exploring Operation: 19-15=4, Resulting Numbers: [20, 4]
Generated Node #0,2,2: 14:[20, 4] Operation: 19-15=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[15, 1], Operations: ['49-34=15', '20-19=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[34, 49, 19, 20], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [19, 20, 15]
Generated Node #0,2: 14:[19, 20, 15] Operation: 49-34=15
Moving to Node #0,2
Current State: 14:[19, 20, 15], Operations: ['49-34=15']
Exploring Operation: 20-19=1, Resulting Numbers: [15, 1]
Generated Node #0,2,0: 14:[15, 1] Operation: 20-19=1
Moving to Node #0,2,0
Current State: 14:[15, 1], Operations: ['49-34=15', '20-19=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
5,
45,
10,
61
] | 70 | [
"10-5=5",
"45/5=9",
"61+9=70"
] | Current State: 70:[5, 45, 10, 61], Operations: []
Exploring Operation: 10-5=5, Resulting Numbers: [45, 61, 5]
Generated Node #2: [45, 61, 5] from Operation: 10-5=5
Current State: 70:[45, 61, 5], Operations: ['10-5=5']
Exploring Operation: 45/5=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 45/5=9
Current State: 70:[61, 9], Operations: ['10-5=5', '45/5=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[5, 45, 10, 61], Operations: []
Exploring Operation: 10+61=71, Resulting Numbers: [5, 45, 71]
Generated Node #0,0: 70:[5, 45, 71] Operation: 10+61=71
Exploring Operation: 61-45=16, Resulting Numbers: [5, 10, 16]
Generated Node #0,1: 70:[5, 10, 16] Operation: 61-45=16
Exploring Operation: 45/5=9, Resulting Numbers: [10, 61, 9]
Generated Node #0,2: 70:[10, 61, 9] Operation: 45/5=9
Exploring Operation: 45-10=35, Resulting Numbers: [5, 61, 35]
Generated Node #0,3: 70:[5, 61, 35] Operation: 45-10=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[5, 10, 16], Operations: ['61-45=16']
Exploring Operation: 10/5=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 70:[16, 2] Operation: 10/5=2
Exploring Operation: 16-10=6, Resulting Numbers: [5, 6]
Generated Node #0,1,1: 70:[5, 6] Operation: 16-10=6
Exploring Operation: 16-5=11, Resulting Numbers: [10, 11]
Generated Node #0,1,2: 70:[10, 11] Operation: 16-5=11
Exploring Operation: 10-5=5, Resulting Numbers: [16, 5]
Generated Node #0,1,3: 70:[16, 5] Operation: 10-5=5
Moving to Node #0,1,1
Current State: 70:[5, 6], Operations: ['61-45=16', '16-10=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[10, 11], Operations: ['61-45=16', '16-5=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,70 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[16, 5], Operations: ['61-45=16', '10-5=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[16, 2], Operations: ['61-45=16', '10/5=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,70 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 70:[5, 61, 35], Operations: ['45-10=35']
Exploring Operation: 35/5=7, Resulting Numbers: [61, 7]
Generated Node #0,3,0: 70:[61, 7] Operation: 35/5=7
Exploring Operation: 61-35=26, Resulting Numbers: [5, 26]
Generated Node #0,3,1: 70:[5, 26] Operation: 61-35=26
Exploring Operation: 5+61=66, Resulting Numbers: [35, 66]
Generated Node #0,3,2: 70:[35, 66] Operation: 5+61=66
Exploring Operation: 61-5=56, Resulting Numbers: [35, 56]
Generated Node #0,3,3: 70:[35, 56] Operation: 61-5=56
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 70:[35, 66], Operations: ['45-10=35', '5+61=66']
Exploring Operation: 35+66=101, Resulting Numbers: [101]
101,70 unequal: No Solution
Exploring Operation: 35*66=2310, Resulting Numbers: [2310]
2310,70 unequal: No Solution
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,70 unequal: No Solution
No 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: 70:[61, 7], Operations: ['45-10=35', '35/5=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 61*7=427, Resulting Numbers: [427]
427,70 unequal: No Solution
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,70 unequal: No Solution
No 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: 70:[5, 26], Operations: ['45-10=35', '61-35=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,70 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,70 unequal: No Solution
No 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: 70:[35, 56], Operations: ['45-10=35', '61-5=56']
Exploring Operation: 35+56=91, Resulting Numbers: [91]
91,70 unequal: No Solution
Exploring Operation: 56-35=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 35*56=1960, Resulting Numbers: [1960]
1960,70 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: 70:[10, 61, 9], Operations: ['45/5=9']
Exploring Operation: 10-9=1, Resulting Numbers: [61, 1]
Generated Node #0,2,0: 70:[61, 1] Operation: 10-9=1
Exploring Operation: 10+9=19, Resulting Numbers: [61, 19]
Generated Node #0,2,1: 70:[61, 19] Operation: 10+9=19
Exploring Operation: 61+9=70, Resulting Numbers: [10, 70]
Generated Node #0,2,2: 70:[10, 70] Operation: 61+9=70
Exploring Operation: 10+61=71, Resulting Numbers: [9, 71]
Generated Node #0,2,3: 70:[9, 71] Operation: 10+61=71
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 70:[10, 70], Operations: ['45/5=9', '61+9=70']
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 10*70=700, Resulting Numbers: [700]
700,70 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,70 unequal: No Solution
No 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: 70:[9, 71], Operations: ['45/5=9', '10+61=71']
Exploring Operation: 9*71=639, Resulting Numbers: [639]
639,70 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 9+71=80, Resulting Numbers: [80]
80,70 unequal: No Solution
No 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: 70:[61, 1], Operations: ['45/5=9', '10-9=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,70 unequal: No Solution
No 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: 70:[61, 19], Operations: ['45/5=9', '10+9=19']
Exploring Operation: 61*19=1159, Resulting Numbers: [1159]
1159,70 unequal: No Solution
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 61+19=80, Resulting Numbers: [80]
80,70 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: 70:[5, 45, 71], Operations: ['10+61=71']
Exploring Operation: 45-5=40, Resulting Numbers: [71, 40]
Generated Node #0,0,0: 70:[71, 40] Operation: 45-5=40
Exploring Operation: 71-5=66, Resulting Numbers: [45, 66]
Generated Node #0,0,1: 70:[45, 66] Operation: 71-5=66
Exploring Operation: 71-45=26, Resulting Numbers: [5, 26]
Generated Node #0,0,2: 70:[5, 26] Operation: 71-45=26
Exploring Operation: 45/5=9, Resulting Numbers: [71, 9]
Generated Node #0,0,3: 70:[71, 9] Operation: 45/5=9
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 70:[71, 9], Operations: ['10+61=71', '45/5=9']
Exploring Operation: 71*9=639, Resulting Numbers: [639]
639,70 unequal: No Solution
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,70 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,70 unequal: No Solution
No 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: 70:[71, 40], Operations: ['10+61=71', '45-5=40']
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,70 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,70 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,70 unequal: No Solution
No 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: 70:[5, 26], Operations: ['10+61=71', '71-45=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,70 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,70 unequal: No Solution
No 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: 70:[45, 66], Operations: ['10+61=71', '71-5=66']
Exploring Operation: 45*66=2970, Resulting Numbers: [2970]
2970,70 unequal: No Solution
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 45+66=111, Resulting Numbers: [111]
111,70 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 |
[
67,
69,
45,
71
] | 19 | [
"69-67=2",
"45*2=90",
"90-71=19"
] | Current State: 19:[67, 69, 45, 71], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [45, 71, 2]
Generated Node #2: [45, 71, 2] from Operation: 69-67=2
Current State: 19:[45, 71, 2], Operations: ['69-67=2']
Exploring Operation: 45*2=90, Resulting Numbers: [71, 90]
Generated Node #3: [71, 90] from Operation: 45*2=90
Current State: 19:[71, 90], Operations: ['69-67=2', '45*2=90']
Exploring Operation: 90-71=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[67, 69, 45, 71], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [69, 45, 4]
Generated Node #0,0: 19:[69, 45, 4] Operation: 71-67=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[69, 45, 4], Operations: ['71-67=4']
Exploring Operation: 69-45=24, Resulting Numbers: [4, 24]
Generated Node #0,0,0: 19:[4, 24] Operation: 69-45=24
Moving to Node #0,0,0
Current State: 19:[4, 24], Operations: ['71-67=4', '69-45=24']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,19 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 |
[
14,
61,
5,
34
] | 18 | [
"61-14=47",
"34-5=29",
"47-29=18"
] | Current State: 18:[14, 61, 5, 34], Operations: []
Exploring Operation: 61-14=47, Resulting Numbers: [5, 34, 47]
Generated Node #2: [5, 34, 47] from Operation: 61-14=47
Current State: 18:[5, 34, 47], Operations: ['61-14=47']
Exploring Operation: 34-5=29, Resulting Numbers: [47, 29]
Generated Node #3: [47, 29] from Operation: 34-5=29
Current State: 18:[47, 29], Operations: ['61-14=47', '34-5=29']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[14, 61, 5, 34], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [14, 5, 27]
Generated Node #0,0: 18:[14, 5, 27] Operation: 61-34=27
Exploring Operation: 61-5=56, Resulting Numbers: [14, 34, 56]
Generated Node #0,1: 18:[14, 34, 56] Operation: 61-5=56
Exploring Operation: 34-14=20, Resulting Numbers: [61, 5, 20]
Generated Node #0,2: 18:[61, 5, 20] Operation: 34-14=20
Exploring Operation: 61-14=47, Resulting Numbers: [5, 34, 47]
Generated Node #0,3: 18:[5, 34, 47] Operation: 61-14=47
Exploring Operation: 34-5=29, Resulting Numbers: [14, 61, 29]
Generated Node #0,4: 18:[14, 61, 29] Operation: 34-5=29
Moving to Node #0,0
Current State: 18:[14, 5, 27], Operations: ['61-34=27']
Exploring Operation: 27-5=22, Resulting Numbers: [14, 22]
Generated Node #0,0,0: 18:[14, 22] Operation: 27-5=22
Exploring Operation: 14-5=9, Resulting Numbers: [27, 9]
Generated Node #0,0,1: 18:[27, 9] Operation: 14-5=9
Exploring Operation: 5+27=32, Resulting Numbers: [14, 32]
Generated Node #0,0,2: 18:[14, 32] Operation: 5+27=32
Exploring Operation: 14+5=19, Resulting Numbers: [27, 19]
Generated Node #0,0,3: 18:[27, 19] Operation: 14+5=19
Exploring Operation: 27-14=13, Resulting Numbers: [5, 13]
Generated Node #0,0,4: 18:[5, 13] Operation: 27-14=13
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 18:[5, 13], Operations: ['61-34=27', '27-14=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[14, 61, 5, 34], Operations: []
Exploring Operation: 61-34=27, Resulting Numbers: [14, 5, 27]
Generated Node #0,0: 18:[14, 5, 27] Operation: 61-34=27
Moving to Node #0,0
Current State: 18:[14, 5, 27], Operations: ['61-34=27']
Exploring Operation: 27-14=13, Resulting Numbers: [5, 13]
Generated Node #0,0,4: 18:[5, 13] Operation: 27-14=13
Moving to Node #0,0,4
Current State: 18:[5, 13], Operations: ['61-34=27', '27-14=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
80,
84,
24,
24
] | 30 | [
"84-80=4",
"24/4=6",
"24+6=30"
] | Current State: 30:[80, 84, 24, 24], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [24, 24, 4]
Generated Node #2: [24, 24, 4] from Operation: 84-80=4
Current State: 30:[24, 24, 4], Operations: ['84-80=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,30 equal: Goal Reached
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[80, 84, 24, 24], Operations: []
Exploring Operation: 84-24=60, Resulting Numbers: [80, 24, 60]
Generated Node #0,0: 30:[80, 24, 60] Operation: 84-24=60
Exploring Operation: 80-24=56, Resulting Numbers: [84, 24, 56]
Generated Node #0,1: 30:[84, 24, 56] Operation: 80-24=56
Exploring Operation: 84-80=4, Resulting Numbers: [24, 24, 4]
Generated Node #0,2: 30:[24, 24, 4] Operation: 84-80=4
Exploring Operation: 80-24=56, Resulting Numbers: [84, 24, 56]
Generated Node #0,3: 30:[84, 24, 56] Operation: 80-24=56
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[24, 24, 4], Operations: ['84-80=4']
Exploring Operation: 24-24=0, Resulting Numbers: [4, 0]
Generated Node #0,2,0: 30:[4, 0] Operation: 24-24=0
Exploring Operation: 24/4=6, Resulting Numbers: [24, 6]
Generated Node #0,2,1: 30:[24, 6] Operation: 24/4=6
Exploring Operation: 24/24=1, Resulting Numbers: [4, 1]
Generated Node #0,2,2: 30:[4, 1] Operation: 24/24=1
Exploring Operation: 24/4=6, Resulting Numbers: [24, 6]
Generated Node #0,2,3: 30:[24, 6] Operation: 24/4=6
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 30:[4, 1], Operations: ['84-80=4', '24/24=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[4, 0], Operations: ['84-80=4', '24-24=0']
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 30:[24, 6], Operations: ['84-80=4', '24/4=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[80, 84, 24, 24], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [24, 24, 4]
Generated Node #0,2: 30:[24, 24, 4] Operation: 84-80=4
Moving to Node #0,2
Current State: 30:[24, 24, 4], Operations: ['84-80=4']
Exploring Operation: 24/4=6, Resulting Numbers: [24, 6]
Generated Node #0,2,1: 30:[24, 6] Operation: 24/4=6
Moving to Node #0,2,1
Current State: 30:[24, 6], Operations: ['84-80=4', '24/4=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
14,
21,
74,
60
] | 49 | [
"14+21=35",
"74-60=14",
"35+14=49"
] | Current State: 49:[14, 21, 74, 60], Operations: []
Exploring Operation: 14+21=35, Resulting Numbers: [74, 60, 35]
Generated Node #2: [74, 60, 35] from Operation: 14+21=35
Current State: 49:[74, 60, 35], Operations: ['14+21=35']
Exploring Operation: 74-60=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 74-60=14
Current State: 49:[35, 14], Operations: ['14+21=35', '74-60=14']
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[14, 21, 74, 60], Operations: []
Exploring Operation: 74-21=53, Resulting Numbers: [14, 60, 53]
Generated Node #0,0: 49:[14, 60, 53] Operation: 74-21=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[14, 60, 53], Operations: ['74-21=53']
Exploring Operation: 60-14=46, Resulting Numbers: [53, 46]
Generated Node #0,0,0: 49:[53, 46] Operation: 60-14=46
Moving to Node #0,0,0
Current State: 49:[53, 46], Operations: ['74-21=53', '60-14=46']
Exploring Operation: 53-46=7, Resulting Numbers: [7]
7,49 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 |
[
15,
29,
79,
15
] | 50 | [
"15+29=44",
"79+15=94",
"94-44=50"
] | Current State: 50:[15, 29, 79, 15], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [79, 44]
Generated Node #2: [79, 44] from Operation: 15+29=44
Current State: 50:[79, 44], Operations: ['15+29=44']
Exploring Operation: 79+15=94, Resulting Numbers: [44, 94]
Generated Node #3: [44, 94] from Operation: 79+15=94
Current State: 50:[44, 94], Operations: ['15+29=44', '79+15=94']
Exploring Operation: 94-44=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[15, 29, 79, 15], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [29, 15, 64]
Generated Node #0,0: 50:[29, 15, 64] Operation: 79-15=64
Exploring Operation: 79-29=50, Resulting Numbers: [15, 15, 50]
Generated Node #0,1: 50:[15, 15, 50] Operation: 79-29=50
Exploring Operation: 79-15=64, Resulting Numbers: [15, 29, 64]
Generated Node #0,2: 50:[15, 29, 64] Operation: 79-15=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[15, 15, 50], Operations: ['79-29=50']
Exploring Operation: 15+15=30, Resulting Numbers: [50, 30]
Generated Node #0,1,0: 50:[50, 30] Operation: 15+15=30
Exploring Operation: 15-15=0, Resulting Numbers: [50, 0]
Generated Node #0,1,1: 50:[50, 0] Operation: 15-15=0
Exploring Operation: 15/15=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 50:[50, 1] Operation: 15/15=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 50:[50, 1], Operations: ['79-29=50', '15/15=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[15, 29, 79, 15], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [15, 15, 50]
Generated Node #0,1: 50:[15, 15, 50] Operation: 79-29=50
Moving to Node #0,1
Current State: 50:[15, 15, 50], Operations: ['79-29=50']
Exploring Operation: 15/15=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 50:[50, 1] Operation: 15/15=1
Moving to Node #0,1,2
Current State: 50:[50, 1], Operations: ['79-29=50', '15/15=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
5,
13,
20,
67
] | 79 | [
"13-5=8",
"20+67=87",
"87-8=79"
] | Current State: 79:[5, 13, 20, 67], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [20, 67, 8]
Generated Node #2: [20, 67, 8] from Operation: 13-5=8
Current State: 79:[20, 67, 8], Operations: ['13-5=8']
Exploring Operation: 20+67=87, Resulting Numbers: [8, 87]
Generated Node #3: [8, 87] from Operation: 20+67=87
Current State: 79:[8, 87], Operations: ['13-5=8', '20+67=87']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[5, 13, 20, 67], Operations: []
Exploring Operation: 5+20=25, Resulting Numbers: [13, 67, 25]
Generated Node #0,0: 79:[13, 67, 25] Operation: 5+20=25
Exploring Operation: 5*20=100, Resulting Numbers: [13, 67, 100]
Generated Node #0,1: 79:[13, 67, 100] Operation: 5*20=100
Exploring Operation: 5+13=18, Resulting Numbers: [20, 67, 18]
Generated Node #0,2: 79:[20, 67, 18] Operation: 5+13=18
Exploring Operation: 5*13=65, Resulting Numbers: [20, 67, 65]
Generated Node #0,3: 79:[20, 67, 65] Operation: 5*13=65
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[20, 67, 65], Operations: ['5*13=65']
Exploring Operation: 67-20=47, Resulting Numbers: [65, 47]
Generated Node #0,3,0: 79:[65, 47] Operation: 67-20=47
Exploring Operation: 20+65=85, Resulting Numbers: [67, 85]
Generated Node #0,3,1: 79:[67, 85] Operation: 20+65=85
Exploring Operation: 20+67=87, Resulting Numbers: [65, 87]
Generated Node #0,3,2: 79:[65, 87] Operation: 20+67=87
Exploring Operation: 65-20=45, Resulting Numbers: [67, 45]
Generated Node #0,3,3: 79:[67, 45] Operation: 65-20=45
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 79:[67, 85], Operations: ['5*13=65', '20+65=85']
Exploring Operation: 67+85=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 67*85=5695, Resulting Numbers: [5695]
5695,79 unequal: No Solution
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,79 unequal: No Solution
No 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: 79:[65, 87], Operations: ['5*13=65', '20+67=87']
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 65+87=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 65*87=5655, Resulting Numbers: [5655]
5655,79 unequal: No Solution
No 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: 79:[65, 47], Operations: ['5*13=65', '67-20=47']
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,79 unequal: No Solution
Exploring Operation: 65+47=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 65*47=3055, Resulting Numbers: [3055]
3055,79 unequal: No Solution
No 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: 79:[67, 45], Operations: ['5*13=65', '65-20=45']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,79 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,79 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: 79:[13, 67, 100], Operations: ['5*20=100']
Exploring Operation: 13+67=80, Resulting Numbers: [100, 80]
Generated Node #0,1,0: 79:[100, 80] Operation: 13+67=80
Exploring Operation: 67-13=54, Resulting Numbers: [100, 54]
Generated Node #0,1,1: 79:[100, 54] Operation: 67-13=54
Exploring Operation: 100-13=87, Resulting Numbers: [67, 87]
Generated Node #0,1,2: 79:[67, 87] Operation: 100-13=87
Exploring Operation: 13+100=113, Resulting Numbers: [67, 113]
Generated Node #0,1,3: 79:[67, 113] Operation: 13+100=113
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[67, 87], Operations: ['5*20=100', '100-13=87']
Exploring Operation: 67*87=5829, Resulting Numbers: [5829]
5829,79 unequal: No Solution
Exploring Operation: 87-67=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 67+87=154, Resulting Numbers: [154]
154,79 unequal: No Solution
No 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: 79:[100, 80], Operations: ['5*20=100', '13+67=80']
Exploring Operation: 100*80=8000, Resulting Numbers: [8000]
8000,79 unequal: No Solution
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 100+80=180, Resulting Numbers: [180]
180,79 unequal: No Solution
No 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: 79:[100, 54], Operations: ['5*20=100', '67-13=54']
Exploring Operation: 100+54=154, Resulting Numbers: [154]
154,79 unequal: No Solution
Exploring Operation: 100-54=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 100*54=5400, Resulting Numbers: [5400]
5400,79 unequal: No Solution
No 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: 79:[67, 113], Operations: ['5*20=100', '13+100=113']
Exploring Operation: 113-67=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 67*113=7571, Resulting Numbers: [7571]
7571,79 unequal: No Solution
Exploring Operation: 67+113=180, Resulting Numbers: [180]
180,79 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: 79:[13, 67, 25], Operations: ['5+20=25']
Exploring Operation: 13+25=38, Resulting Numbers: [67, 38]
Generated Node #0,0,0: 79:[67, 38] Operation: 13+25=38
Exploring Operation: 67-13=54, Resulting Numbers: [25, 54]
Generated Node #0,0,1: 79:[25, 54] Operation: 67-13=54
Exploring Operation: 13+67=80, Resulting Numbers: [25, 80]
Generated Node #0,0,2: 79:[25, 80] Operation: 13+67=80
Exploring Operation: 25-13=12, Resulting Numbers: [67, 12]
Generated Node #0,0,3: 79:[67, 12] Operation: 25-13=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[67, 38], Operations: ['5+20=25', '13+25=38']
Exploring Operation: 67*38=2546, Resulting Numbers: [2546]
2546,79 unequal: No Solution
Exploring Operation: 67+38=105, Resulting Numbers: [105]
105,79 unequal: No Solution
Exploring Operation: 67-38=29, Resulting Numbers: [29]
29,79 unequal: No Solution
No 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: 79:[25, 80], Operations: ['5+20=25', '13+67=80']
Exploring Operation: 25+80=105, Resulting Numbers: [105]
105,79 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 25*80=2000, Resulting Numbers: [2000]
2000,79 unequal: No Solution
No 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: 79:[25, 54], Operations: ['5+20=25', '67-13=54']
Exploring Operation: 25*54=1350, Resulting Numbers: [1350]
1350,79 unequal: No Solution
Exploring Operation: 25+54=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[5, 13, 20, 67], Operations: []
Exploring Operation: 5+20=25, Resulting Numbers: [13, 67, 25]
Generated Node #0,0: 79:[13, 67, 25] Operation: 5+20=25
Moving to Node #0,0
Current State: 79:[13, 67, 25], Operations: ['5+20=25']
Exploring Operation: 67-13=54, Resulting Numbers: [25, 54]
Generated Node #0,0,1: 79:[25, 54] Operation: 67-13=54
Moving to Node #0,0,1
Current State: 79:[25, 54], Operations: ['5+20=25', '67-13=54']
Exploring Operation: 25+54=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.954861 | hs_4 | mult_heuristic |
[
4,
1,
44,
32
] | 88 | [
"1+32=33",
"4*33=132",
"132-44=88"
] | Current State: 88:[4, 1, 44, 32], Operations: []
Exploring Operation: 1+32=33, Resulting Numbers: [4, 44, 33]
Generated Node #2: [4, 44, 33] from Operation: 1+32=33
Current State: 88:[4, 44, 33], Operations: ['1+32=33']
Exploring Operation: 4*33=132, Resulting Numbers: [44, 132]
Generated Node #3: [44, 132] from Operation: 4*33=132
Current State: 88:[44, 132], Operations: ['1+32=33', '4*33=132']
Exploring Operation: 132-44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[4, 1, 44, 32], Operations: []
Exploring Operation: 44-32=12, Resulting Numbers: [4, 1, 12]
Generated Node #0,0: 88:[4, 1, 12] Operation: 44-32=12
Exploring Operation: 32/4=8, Resulting Numbers: [1, 44, 8]
Generated Node #0,1: 88:[1, 44, 8] Operation: 32/4=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[1, 44, 8], Operations: ['32/4=8']
Exploring Operation: 44/1=44, Resulting Numbers: [8, 44]
Generated Node #0,1,0: 88:[8, 44] Operation: 44/1=44
Exploring Operation: 1*44=44, Resulting Numbers: [8, 44]
Generated Node #0,1,1: 88:[8, 44] Operation: 1*44=44
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[8, 44], Operations: ['32/4=8', '44/1=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,88 unequal: No Solution
No 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: 88:[8, 44], Operations: ['32/4=8', '1*44=44']
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,88 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: 88:[4, 1, 12], Operations: ['44-32=12']
Exploring Operation: 4*1=4, Resulting Numbers: [12, 4]
Generated Node #0,0,0: 88:[12, 4] Operation: 4*1=4
Exploring Operation: 12-1=11, Resulting Numbers: [4, 11]
Generated Node #0,0,1: 88:[4, 11] Operation: 12-1=11
Moving to Node #0,0,1
Current State: 88:[4, 11], Operations: ['44-32=12', '12-1=11']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[12, 4], Operations: ['44-32=12', '4*1=4']
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,88 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,
4,
89,
16
] | 20 | [
"89-80=9",
"4*9=36",
"36-16=20"
] | Current State: 20:[80, 4, 89, 16], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [4, 16, 9]
Generated Node #2: [4, 16, 9] from Operation: 89-80=9
Current State: 20:[4, 16, 9], Operations: ['89-80=9']
Exploring Operation: 4*9=36, Resulting Numbers: [16, 36]
Generated Node #3: [16, 36] from Operation: 4*9=36
Current State: 20:[16, 36], Operations: ['89-80=9', '4*9=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[80, 4, 89, 16], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [4, 16, 9]
Generated Node #0,0: 20:[4, 16, 9] Operation: 89-80=9
Exploring Operation: 80/16=5, Resulting Numbers: [4, 89, 5]
Generated Node #0,1: 20:[4, 89, 5] Operation: 80/16=5
Moving to Node #0,0
Current State: 20:[4, 16, 9], Operations: ['89-80=9']
Exploring Operation: 16/4=4, Resulting Numbers: [9, 4]
Generated Node #0,0,0: 20:[9, 4] Operation: 16/4=4
Exploring Operation: 4+16=20, Resulting Numbers: [9, 20]
Generated Node #0,0,1: 20:[9, 20] Operation: 4+16=20
Moving to Node #0,1
Current State: 20:[4, 89, 5], Operations: ['80/16=5']
Exploring Operation: 89-4=85, Resulting Numbers: [5, 85]
Generated Node #0,1,0: 20:[5, 85] Operation: 89-4=85
Exploring Operation: 89-5=84, Resulting Numbers: [4, 84]
Generated Node #0,1,1: 20:[4, 84] Operation: 89-5=84
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[4, 84], Operations: ['80/16=5', '89-5=84']
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,20 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[5, 85], Operations: ['80/16=5', '89-4=85']
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,20 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: 20:[9, 4], Operations: ['89-80=9', '16/4=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[9, 20], Operations: ['89-80=9', '4+16=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,20 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
41,
26,
63,
59
] | 19 | [
"41-26=15",
"63-59=4",
"15+4=19"
] | Current State: 19:[41, 26, 63, 59], Operations: []
Exploring Operation: 41-26=15, Resulting Numbers: [63, 59, 15]
Generated Node #2: [63, 59, 15] from Operation: 41-26=15
Current State: 19:[63, 59, 15], Operations: ['41-26=15']
Exploring Operation: 63-59=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 63-59=4
Current State: 19:[15, 4], Operations: ['41-26=15', '63-59=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[41, 26, 63, 59], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [26, 59, 22]
Generated Node #0,0: 19:[26, 59, 22] Operation: 63-41=22
Exploring Operation: 59-41=18, Resulting Numbers: [26, 63, 18]
Generated Node #0,1: 19:[26, 63, 18] Operation: 59-41=18
Exploring Operation: 63-59=4, Resulting Numbers: [41, 26, 4]
Generated Node #0,2: 19:[41, 26, 4] Operation: 63-59=4
Moving to Node #0,2
Current State: 19:[41, 26, 4], Operations: ['63-59=4']
Exploring Operation: 41-4=37, Resulting Numbers: [26, 37]
Generated Node #0,2,0: 19:[26, 37] Operation: 41-4=37
Exploring Operation: 26-4=22, Resulting Numbers: [41, 22]
Generated Node #0,2,1: 19:[41, 22] Operation: 26-4=22
Exploring Operation: 41-26=15, Resulting Numbers: [4, 15]
Generated Node #0,2,2: 19:[4, 15] Operation: 41-26=15
Moving to Node #0,0
Current State: 19:[26, 59, 22], Operations: ['63-41=22']
Exploring Operation: 59-26=33, Resulting Numbers: [22, 33]
Generated Node #0,0,0: 19:[22, 33] Operation: 59-26=33
Exploring Operation: 59-22=37, Resulting Numbers: [26, 37]
Generated Node #0,0,1: 19:[26, 37] Operation: 59-22=37
Exploring Operation: 26-22=4, Resulting Numbers: [59, 4]
Generated Node #0,0,2: 19:[59, 4] Operation: 26-22=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[22, 33], Operations: ['63-41=22', '59-26=33']
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,19 unequal: No Solution
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,19 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 #0,0,1
Current State: 19:[26, 37], Operations: ['63-41=22', '59-22=37']
Exploring Operation: 26*37=962, Resulting Numbers: [962]
962,19 unequal: No Solution
Exploring Operation: 26+37=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,19 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 #0,0,2
Current State: 19:[59, 4], Operations: ['63-41=22', '26-22=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,19 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: 19:[26, 63, 18], Operations: ['59-41=18']
Exploring Operation: 63-18=45, Resulting Numbers: [26, 45]
Generated Node #0,1,0: 19:[26, 45] Operation: 63-18=45
Exploring Operation: 63-26=37, Resulting Numbers: [18, 37]
Generated Node #0,1,1: 19:[18, 37] Operation: 63-26=37
Exploring Operation: 26-18=8, Resulting Numbers: [63, 8]
Generated Node #0,1,2: 19:[63, 8] Operation: 26-18=8
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[18, 37], Operations: ['59-41=18', '63-26=37']
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,19 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[41, 26, 63, 59], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [26, 63, 18]
Generated Node #0,1: 19:[26, 63, 18] Operation: 59-41=18
Moving to Node #0,1
Current State: 19:[26, 63, 18], Operations: ['59-41=18']
Exploring Operation: 63-26=37, Resulting Numbers: [18, 37]
Generated Node #0,1,1: 19:[18, 37] Operation: 63-26=37
Moving to Node #0,1,1
Current State: 19:[18, 37], Operations: ['59-41=18', '63-26=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
28,
72,
87,
78
] | 91 | [
"28+72=100",
"87-78=9",
"100-9=91"
] | Current State: 91:[28, 72, 87, 78], Operations: []
Exploring Operation: 28+72=100, Resulting Numbers: [87, 78, 100]
Generated Node #2: [87, 78, 100] from Operation: 28+72=100
Current State: 91:[87, 78, 100], Operations: ['28+72=100']
Exploring Operation: 87-78=9, Resulting Numbers: [100, 9]
Generated Node #3: [100, 9] from Operation: 87-78=9
Current State: 91:[100, 9], Operations: ['28+72=100', '87-78=9']
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[28, 72, 87, 78], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [28, 78, 15]
Generated Node #0,0: 91:[28, 78, 15] Operation: 87-72=15
Exploring Operation: 78-72=6, Resulting Numbers: [28, 87, 6]
Generated Node #0,1: 91:[28, 87, 6] Operation: 78-72=6
Exploring Operation: 28+72=100, Resulting Numbers: [87, 78, 100]
Generated Node #0,2: 91:[87, 78, 100] Operation: 28+72=100
Moving to Node #0,1
Current State: 91:[28, 87, 6], Operations: ['78-72=6']
Exploring Operation: 28-6=22, Resulting Numbers: [87, 22]
Generated Node #0,1,0: 91:[87, 22] Operation: 28-6=22
Exploring Operation: 87+6=93, Resulting Numbers: [28, 93]
Generated Node #0,1,1: 91:[28, 93] Operation: 87+6=93
Exploring Operation: 28+87=115, Resulting Numbers: [6, 115]
Generated Node #0,1,2: 91:[6, 115] Operation: 28+87=115
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[87, 22], Operations: ['78-72=6', '28-6=22']
Exploring Operation: 87*22=1914, Resulting Numbers: [1914]
1914,91 unequal: No Solution
Exploring Operation: 87+22=109, Resulting Numbers: [109]
109,91 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,91 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 #0,1,1
Current State: 91:[28, 93], Operations: ['78-72=6', '87+6=93']
Exploring Operation: 28*93=2604, Resulting Numbers: [2604]
2604,91 unequal: No Solution
Exploring Operation: 28+93=121, Resulting Numbers: [121]
121,91 unequal: No Solution
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,91 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 #0,1,2
Current State: 91:[6, 115], Operations: ['78-72=6', '28+87=115']
Exploring Operation: 6+115=121, Resulting Numbers: [121]
121,91 unequal: No Solution
Exploring Operation: 115-6=109, Resulting Numbers: [109]
109,91 unequal: No Solution
Exploring Operation: 6*115=690, Resulting Numbers: [690]
690,91 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: 91:[87, 78, 100], Operations: ['28+72=100']
Exploring Operation: 100-87=13, Resulting Numbers: [78, 13]
Generated Node #0,2,0: 91:[78, 13] Operation: 100-87=13
Exploring Operation: 100-78=22, Resulting Numbers: [87, 22]
Generated Node #0,2,1: 91:[87, 22] Operation: 100-78=22
Exploring Operation: 87-78=9, Resulting Numbers: [100, 9]
Generated Node #0,2,2: 91:[100, 9] Operation: 87-78=9
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[100, 9], Operations: ['28+72=100', '87-78=9']
Exploring Operation: 100+9=109, Resulting Numbers: [109]
109,91 unequal: No Solution
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[28, 72, 87, 78], Operations: []
Exploring Operation: 28+72=100, Resulting Numbers: [87, 78, 100]
Generated Node #0,2: 91:[87, 78, 100] Operation: 28+72=100
Moving to Node #0,2
Current State: 91:[87, 78, 100], Operations: ['28+72=100']
Exploring Operation: 87-78=9, Resulting Numbers: [100, 9]
Generated Node #0,2,2: 91:[100, 9] Operation: 87-78=9
Moving to Node #0,2,2
Current State: 91:[100, 9], Operations: ['28+72=100', '87-78=9']
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
63,
9,
5,
2
] | 47 | [
"63-9=54",
"5+2=7",
"54-7=47"
] | Current State: 47:[63, 9, 5, 2], Operations: []
Exploring Operation: 63-9=54, Resulting Numbers: [5, 2, 54]
Generated Node #2: [5, 2, 54] from Operation: 63-9=54
Current State: 47:[5, 2, 54], Operations: ['63-9=54']
Exploring Operation: 5+2=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 5+2=7
Current State: 47:[54, 7], Operations: ['63-9=54', '5+2=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[63, 9, 5, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [63, 9, 10]
Generated Node #0,0: 47:[63, 9, 10] Operation: 5*2=10
Exploring Operation: 63-9=54, Resulting Numbers: [5, 2, 54]
Generated Node #0,1: 47:[5, 2, 54] Operation: 63-9=54
Exploring Operation: 9*5=45, Resulting Numbers: [63, 2, 45]
Generated Node #0,2: 47:[63, 2, 45] Operation: 9*5=45
Exploring Operation: 9*2=18, Resulting Numbers: [63, 5, 18]
Generated Node #0,3: 47:[63, 5, 18] Operation: 9*2=18
Moving to Node #0,2
Current State: 47:[63, 2, 45], Operations: ['9*5=45']
Exploring Operation: 63+2=65, Resulting Numbers: [45, 65]
Generated Node #0,2,0: 47:[45, 65] Operation: 63+2=65
Exploring Operation: 45-2=43, Resulting Numbers: [63, 43]
Generated Node #0,2,1: 47:[63, 43] Operation: 45-2=43
Exploring Operation: 2+45=47, Resulting Numbers: [63, 47]
Generated Node #0,2,2: 47:[63, 47] Operation: 2+45=47
Exploring Operation: 63-2=61, Resulting Numbers: [45, 61]
Generated Node #0,2,3: 47:[45, 61] Operation: 63-2=61
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[63, 47], Operations: ['9*5=45', '2+45=47']
Exploring Operation: 63+47=110, Resulting Numbers: [110]
110,47 unequal: No Solution
Exploring Operation: 63*47=2961, Resulting Numbers: [2961]
2961,47 unequal: No Solution
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 47:[45, 61], Operations: ['9*5=45', '63-2=61']
Exploring Operation: 45*61=2745, Resulting Numbers: [2745]
2745,47 unequal: No Solution
Exploring Operation: 45+61=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[45, 65], Operations: ['9*5=45', '63+2=65']
Exploring Operation: 45*65=2925, Resulting Numbers: [2925]
2925,47 unequal: No Solution
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 45+65=110, Resulting Numbers: [110]
110,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[63, 43], Operations: ['9*5=45', '45-2=43']
Exploring Operation: 63+43=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 63*43=2709, Resulting Numbers: [2709]
2709,47 unequal: No Solution
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,47 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: 47:[63, 5, 18], Operations: ['9*2=18']
Exploring Operation: 63+5=68, Resulting Numbers: [18, 68]
Generated Node #0,3,0: 47:[18, 68] Operation: 63+5=68
Exploring Operation: 5+18=23, Resulting Numbers: [63, 23]
Generated Node #0,3,1: 47:[63, 23] Operation: 5+18=23
Exploring Operation: 63-5=58, Resulting Numbers: [18, 58]
Generated Node #0,3,2: 47:[18, 58] Operation: 63-5=58
Exploring Operation: 63-18=45, Resulting Numbers: [5, 45]
Generated Node #0,3,3: 47:[5, 45] Operation: 63-18=45
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 47:[63, 23], Operations: ['9*2=18', '5+18=23']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 63+23=86, Resulting Numbers: [86]
86,47 unequal: No Solution
Exploring Operation: 63*23=1449, Resulting Numbers: [1449]
1449,47 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 #0,3,2
Current State: 47:[18, 58], Operations: ['9*2=18', '63-5=58']
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,47 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 18*58=1044, Resulting Numbers: [1044]
1044,47 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 #0,3,3
Current State: 47:[5, 45], Operations: ['9*2=18', '63-18=45']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,47 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,47 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 #0,3,0
Current State: 47:[18, 68], Operations: ['9*2=18', '63+5=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,47 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,47 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:[63, 9, 10], Operations: ['5*2=10']
Exploring Operation: 63-10=53, Resulting Numbers: [9, 53]
Generated Node #0,0,0: 47:[9, 53] Operation: 63-10=53
Exploring Operation: 9*10=90, Resulting Numbers: [63, 90]
Generated Node #0,0,1: 47:[63, 90] Operation: 9*10=90
Exploring Operation: 63-9=54, Resulting Numbers: [10, 54]
Generated Node #0,0,2: 47:[10, 54] Operation: 63-9=54
Exploring Operation: 9+10=19, Resulting Numbers: [63, 19]
Generated Node #0,0,3: 47:[63, 19] Operation: 9+10=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[9, 53], Operations: ['5*2=10', '63-10=53']
Exploring Operation: 9+53=62, Resulting Numbers: [62]
62,47 unequal: No Solution
Exploring Operation: 9*53=477, Resulting Numbers: [477]
477,47 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,47 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 #0,0,2
Current State: 47:[10, 54], Operations: ['5*2=10', '63-9=54']
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,47 unequal: No Solution
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,47 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 #0,0,3
Current State: 47:[63, 19], Operations: ['5*2=10', '9+10=19']
Exploring Operation: 63-19=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 63+19=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Exploring Operation: 63*19=1197, Resulting Numbers: [1197]
1197,47 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 #0,0,1
Current State: 47:[63, 90], Operations: ['5*2=10', '9*10=90']
Exploring Operation: 90-63=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 63*90=5670, Resulting Numbers: [5670]
5670,47 unequal: No Solution
Exploring Operation: 63+90=153, Resulting Numbers: [153]
153,47 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:[5, 2, 54], Operations: ['63-9=54']
Exploring Operation: 5*2=10, Resulting Numbers: [54, 10]
Generated Node #0,1,0: 47:[54, 10] Operation: 5*2=10
Exploring Operation: 54-2=52, Resulting Numbers: [5, 52]
Generated Node #0,1,1: 47:[5, 52] Operation: 54-2=52
Exploring Operation: 5+2=7, Resulting Numbers: [54, 7]
Generated Node #0,1,2: 47:[54, 7] Operation: 5+2=7
Exploring Operation: 54-5=49, Resulting Numbers: [2, 49]
Generated Node #0,1,3: 47:[2, 49] Operation: 54-5=49
Moving to Node #0,1,0
Current State: 47:[54, 10], Operations: ['63-9=54', '5*2=10']
Exploring Operation: 54+10=64, Resulting Numbers: [64]
64,47 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 54*10=540, Resulting Numbers: [540]
540,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[54, 7], Operations: ['63-9=54', '5+2=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[63, 9, 5, 2], Operations: []
Exploring Operation: 63-9=54, Resulting Numbers: [5, 2, 54]
Generated Node #0,1: 47:[5, 2, 54] Operation: 63-9=54
Moving to Node #0,1
Current State: 47:[5, 2, 54], Operations: ['63-9=54']
Exploring Operation: 5+2=7, Resulting Numbers: [54, 7]
Generated Node #0,1,2: 47:[54, 7] Operation: 5+2=7
Moving to Node #0,1,2
Current State: 47:[54, 7], Operations: ['63-9=54', '5+2=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 0.943576 | hs_4 | sum_heuristic |
[
88,
50,
4,
6
] | 94 | [
"6-4=2",
"88/2=44",
"50+44=94"
] | Current State: 94:[88, 50, 4, 6], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [88, 50, 2]
Generated Node #2: [88, 50, 2] from Operation: 6-4=2
Current State: 94:[88, 50, 2], Operations: ['6-4=2']
Exploring Operation: 88/2=44, Resulting Numbers: [50, 44]
Generated Node #3: [50, 44] from Operation: 88/2=44
Current State: 94:[50, 44], Operations: ['6-4=2', '88/2=44']
Exploring Operation: 50+44=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[88, 50, 4, 6], Operations: []
Exploring Operation: 88+4=92, Resulting Numbers: [50, 6, 92]
Generated Node #0,0: 94:[50, 6, 92] Operation: 88+4=92
Exploring Operation: 6-4=2, Resulting Numbers: [88, 50, 2]
Generated Node #0,1: 94:[88, 50, 2] Operation: 6-4=2
Exploring Operation: 50-6=44, Resulting Numbers: [88, 4, 44]
Generated Node #0,2: 94:[88, 4, 44] Operation: 50-6=44
Exploring Operation: 88+6=94, Resulting Numbers: [50, 4, 94]
Generated Node #0,3: 94:[50, 4, 94] Operation: 88+6=94
Exploring Operation: 50-4=46, Resulting Numbers: [88, 6, 46]
Generated Node #0,4: 94:[88, 6, 46] Operation: 50-4=46
Moving to Node #0,3
Current State: 94:[50, 4, 94], Operations: ['88+6=94']
Exploring Operation: 94-4=90, Resulting Numbers: [50, 90]
Generated Node #0,3,0: 94:[50, 90] Operation: 94-4=90
Exploring Operation: 4+94=98, Resulting Numbers: [50, 98]
Generated Node #0,3,1: 94:[50, 98] Operation: 4+94=98
Exploring Operation: 50+4=54, Resulting Numbers: [94, 54]
Generated Node #0,3,2: 94:[94, 54] Operation: 50+4=54
Exploring Operation: 50-4=46, Resulting Numbers: [94, 46]
Generated Node #0,3,3: 94:[94, 46] Operation: 50-4=46
Exploring Operation: 94-50=44, Resulting Numbers: [4, 44]
Generated Node #0,3,4: 94:[4, 44] Operation: 94-50=44
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 94:[94, 46], Operations: ['88+6=94', '50-4=46']
Exploring Operation: 94*46=4324, Resulting Numbers: [4324]
4324,94 unequal: No Solution
Exploring Operation: 94+46=140, Resulting Numbers: [140]
140,94 unequal: No Solution
Exploring Operation: 94-46=48, Resulting Numbers: [48]
48,94 unequal: No Solution
No 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: 94:[4, 44], Operations: ['88+6=94', '94-50=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 4*44=176, Resulting Numbers: [176]
176,94 unequal: No Solution
No 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: 94:[50, 90], Operations: ['88+6=94', '94-4=90']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 50+90=140, Resulting Numbers: [140]
140,94 unequal: No Solution
Exploring Operation: 50*90=4500, Resulting Numbers: [4500]
4500,94 unequal: No Solution
No 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: 94:[50, 98], Operations: ['88+6=94', '4+94=98']
Exploring Operation: 50+98=148, Resulting Numbers: [148]
148,94 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,94 unequal: No Solution
Exploring Operation: 50*98=4900, Resulting Numbers: [4900]
4900,94 unequal: No Solution
No 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: 94:[94, 54], Operations: ['88+6=94', '50+4=54']
Exploring Operation: 94*54=5076, Resulting Numbers: [5076]
5076,94 unequal: No Solution
Exploring Operation: 94-54=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 94+54=148, Resulting Numbers: [148]
148,94 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: 94:[88, 50, 2], Operations: ['6-4=2']
Exploring Operation: 88+2=90, Resulting Numbers: [50, 90]
Generated Node #0,1,0: 94:[50, 90] Operation: 88+2=90
Exploring Operation: 88/2=44, Resulting Numbers: [50, 44]
Generated Node #0,1,1: 94:[50, 44] Operation: 88/2=44
Exploring Operation: 88-50=38, Resulting Numbers: [2, 38]
Generated Node #0,1,2: 94:[2, 38] Operation: 88-50=38
Exploring Operation: 88-2=86, Resulting Numbers: [50, 86]
Generated Node #0,1,3: 94:[50, 86] Operation: 88-2=86
Exploring Operation: 50-2=48, Resulting Numbers: [88, 48]
Generated Node #0,1,4: 94:[88, 48] Operation: 50-2=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[50, 44], Operations: ['6-4=2', '88/2=44']
Exploring Operation: 50*44=2200, Resulting Numbers: [2200]
2200,94 unequal: No Solution
Exploring Operation: 50+44=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[88, 50, 4, 6], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [88, 50, 2]
Generated Node #0,1: 94:[88, 50, 2] Operation: 6-4=2
Moving to Node #0,1
Current State: 94:[88, 50, 2], Operations: ['6-4=2']
Exploring Operation: 88/2=44, Resulting Numbers: [50, 44]
Generated Node #0,1,1: 94:[50, 44] Operation: 88/2=44
Moving to Node #0,1,1
Current State: 94:[50, 44], Operations: ['6-4=2', '88/2=44']
Exploring Operation: 50+44=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
41,
9,
66,
17
] | 46 | [
"41+66=107",
"9*17=153",
"153-107=46"
] | Current State: 46:[41, 9, 66, 17], Operations: []
Exploring Operation: 41+66=107, Resulting Numbers: [9, 17, 107]
Generated Node #2: [9, 17, 107] from Operation: 41+66=107
Current State: 46:[9, 17, 107], Operations: ['41+66=107']
Exploring Operation: 9*17=153, Resulting Numbers: [107, 153]
Generated Node #3: [107, 153] from Operation: 9*17=153
Current State: 46:[107, 153], Operations: ['41+66=107', '9*17=153']
Exploring Operation: 153-107=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[41, 9, 66, 17], Operations: []
Exploring Operation: 66-9=57, Resulting Numbers: [41, 17, 57]
Generated Node #0,0: 46:[41, 17, 57] Operation: 66-9=57
Exploring Operation: 66-41=25, Resulting Numbers: [9, 17, 25]
Generated Node #0,1: 46:[9, 17, 25] Operation: 66-41=25
Exploring Operation: 9+17=26, Resulting Numbers: [41, 66, 26]
Generated Node #0,2: 46:[41, 66, 26] Operation: 9+17=26
Exploring Operation: 41-17=24, Resulting Numbers: [9, 66, 24]
Generated Node #0,3: 46:[9, 66, 24] Operation: 41-17=24
Exploring Operation: 66-17=49, Resulting Numbers: [41, 9, 49]
Generated Node #0,4: 46:[41, 9, 49] Operation: 66-17=49
Moving to Node #0,1
Current State: 46:[9, 17, 25], Operations: ['66-41=25']
Exploring Operation: 25-9=16, Resulting Numbers: [17, 16]
Generated Node #0,1,0: 46:[17, 16] Operation: 25-9=16
Exploring Operation: 17-9=8, Resulting Numbers: [25, 8]
Generated Node #0,1,1: 46:[25, 8] Operation: 17-9=8
Exploring Operation: 9+17=26, Resulting Numbers: [25, 26]
Generated Node #0,1,2: 46:[25, 26] Operation: 9+17=26
Exploring Operation: 17+25=42, Resulting Numbers: [9, 42]
Generated Node #0,1,3: 46:[9, 42] Operation: 17+25=42
Exploring Operation: 25-17=8, Resulting Numbers: [9, 8]
Generated Node #0,1,4: 46:[9, 8] Operation: 25-17=8
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[25, 26], Operations: ['66-41=25', '9+17=26']
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,46 unequal: No Solution
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[25, 8], Operations: ['66-41=25', '17-9=8']
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,46 unequal: No Solution
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[9, 42], Operations: ['66-41=25', '17+25=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,46 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[17, 16], Operations: ['66-41=25', '25-9=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,46 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 46:[9, 8], Operations: ['66-41=25', '25-17=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,46 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: 46:[41, 9, 49], Operations: ['66-17=49']
Exploring Operation: 41+9=50, Resulting Numbers: [49, 50]
Generated Node #0,4,0: 46:[49, 50] Operation: 41+9=50
Exploring Operation: 49-9=40, Resulting Numbers: [41, 40]
Generated Node #0,4,1: 46:[41, 40] Operation: 49-9=40
Exploring Operation: 41-9=32, Resulting Numbers: [49, 32]
Generated Node #0,4,2: 46:[49, 32] Operation: 41-9=32
Exploring Operation: 49-41=8, Resulting Numbers: [9, 8]
Generated Node #0,4,3: 46:[9, 8] Operation: 49-41=8
Exploring Operation: 9+49=58, Resulting Numbers: [41, 58]
Generated Node #0,4,4: 46:[41, 58] Operation: 9+49=58
Moving to Node #0,0
Current State: 46:[41, 17, 57], Operations: ['66-9=57']
Exploring Operation: 41+17=58, Resulting Numbers: [57, 58]
Generated Node #0,0,0: 46:[57, 58] Operation: 41+17=58
Exploring Operation: 17+57=74, Resulting Numbers: [41, 74]
Generated Node #0,0,1: 46:[41, 74] Operation: 17+57=74
Exploring Operation: 57-41=16, Resulting Numbers: [17, 16]
Generated Node #0,0,2: 46:[17, 16] Operation: 57-41=16
Exploring Operation: 41-17=24, Resulting Numbers: [57, 24]
Generated Node #0,0,3: 46:[57, 24] Operation: 41-17=24
Exploring Operation: 57-17=40, Resulting Numbers: [41, 40]
Generated Node #0,0,4: 46:[41, 40] Operation: 57-17=40
Moving to Node #0,2
Current State: 46:[41, 66, 26], Operations: ['9+17=26']
Exploring Operation: 66-41=25, Resulting Numbers: [26, 25]
Generated Node #0,2,0: 46:[26, 25] Operation: 66-41=25
Exploring Operation: 66+26=92, Resulting Numbers: [41, 92]
Generated Node #0,2,1: 46:[41, 92] Operation: 66+26=92
Exploring Operation: 41-26=15, Resulting Numbers: [66, 15]
Generated Node #0,2,2: 46:[66, 15] Operation: 41-26=15
Exploring Operation: 41+26=67, Resulting Numbers: [66, 67]
Generated Node #0,2,3: 46:[66, 67] Operation: 41+26=67
Exploring Operation: 66-26=40, Resulting Numbers: [41, 40]
Generated Node #0,2,4: 46:[41, 40] Operation: 66-26=40
Moving to Node #0,3
Current State: 46:[9, 66, 24], Operations: ['41-17=24']
Exploring Operation: 66-9=57, Resulting Numbers: [24, 57]
Generated Node #0,3,0: 46:[24, 57] Operation: 66-9=57
Exploring Operation: 9+66=75, Resulting Numbers: [24, 75]
Generated Node #0,3,1: 46:[24, 75] Operation: 9+66=75
Exploring Operation: 24-9=15, Resulting Numbers: [66, 15]
Generated Node #0,3,2: 46:[66, 15] Operation: 24-9=15
Exploring Operation: 66-24=42, Resulting Numbers: [9, 42]
Generated Node #0,3,3: 46:[9, 42] Operation: 66-24=42
Exploring Operation: 9+24=33, Resulting Numbers: [66, 33]
Generated Node #0,3,4: 46:[66, 33] Operation: 9+24=33
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[9, 42], Operations: ['41-17=24', '66-24=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,46 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 46:[24, 57], Operations: ['41-17=24', '66-9=57']
Exploring Operation: 24+57=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 24*57=1368, Resulting Numbers: [1368]
1368,46 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[66, 15], Operations: ['41-17=24', '24-9=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,46 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 46:[24, 75], Operations: ['41-17=24', '9+66=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 24+75=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Exploring Operation: 24*75=1800, Resulting Numbers: [1800]
1800,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 46:[66, 33], Operations: ['41-17=24', '9+24=33']
Exploring Operation: 66/33=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 66-33=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 66+33=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Exploring Operation: 66*33=2178, Resulting Numbers: [2178]
2178,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 46:[26, 25], Operations: ['9+17=26', '66-41=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,46 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Moving to Node #0,4,0
Current State: 46:[49, 50], Operations: ['66-17=49', '41+9=50']
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Exploring Operation: 49*50=2450, Resulting Numbers: [2450]
2450,46 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[41, 40], Operations: ['66-9=57', '57-17=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,46 unequal: No Solution
Moving to Node #0,2,4
Current State: 46:[41, 40], Operations: ['9+17=26', '66-26=40']
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,46 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Moving to Node #0,4,1
Current State: 46:[41, 40], Operations: ['66-17=49', '49-9=40']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[57, 24], Operations: ['66-9=57', '41-17=24']
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,46 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Moving to Node #0,4,2
Current State: 46:[49, 32], Operations: ['66-17=49', '41-9=32']
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,46 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Moving to Node #0,4,3
Current State: 46:[9, 8], Operations: ['66-17=49', '49-41=8']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[17, 16], Operations: ['66-9=57', '57-41=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,46 unequal: No Solution
Moving to Node #0,4,4
Current State: 46:[41, 58], Operations: ['66-17=49', '9+49=58']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,46 unequal: No Solution
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,46 unequal: No Solution
Exploring Operation: 41*58=2378, Resulting Numbers: [2378]
2378,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[57, 58], Operations: ['66-9=57', '41+17=58']
Exploring Operation: 57*58=3306, Resulting Numbers: [3306]
3306,46 unequal: No Solution
Exploring Operation: 58-57=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 57+58=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[66, 15], Operations: ['9+17=26', '41-26=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,46 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[41, 74], Operations: ['66-9=57', '17+57=74']
Exploring Operation: 41*74=3034, Resulting Numbers: [3034]
3034,46 unequal: No Solution
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 41+74=115, Resulting Numbers: [115]
115,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[66, 67], Operations: ['9+17=26', '41+26=67']
Exploring Operation: 66*67=4422, Resulting Numbers: [4422]
4422,46 unequal: No Solution
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 66+67=133, Resulting Numbers: [133]
133,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[41, 92], Operations: ['9+17=26', '66+26=92']
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 41+92=133, Resulting Numbers: [133]
133,46 unequal: No Solution
Exploring Operation: 41*92=3772, Resulting Numbers: [3772]
3772,46 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
7,
26,
87,
76
] | 22 | [
"7+26=33",
"87-76=11",
"33-11=22"
] | Current State: 22:[7, 26, 87, 76], Operations: []
Exploring Operation: 7+26=33, Resulting Numbers: [87, 76, 33]
Generated Node #2: [87, 76, 33] from Operation: 7+26=33
Current State: 22:[87, 76, 33], Operations: ['7+26=33']
Exploring Operation: 87-76=11, Resulting Numbers: [33, 11]
Generated Node #3: [33, 11] from Operation: 87-76=11
Current State: 22:[33, 11], Operations: ['7+26=33', '87-76=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[7, 26, 87, 76], Operations: []
Exploring Operation: 87-26=61, Resulting Numbers: [7, 76, 61]
Generated Node #0,0: 22:[7, 76, 61] Operation: 87-26=61
Exploring Operation: 87-76=11, Resulting Numbers: [7, 26, 11]
Generated Node #0,1: 22:[7, 26, 11] Operation: 87-76=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[7, 26, 11], Operations: ['87-76=11']
Exploring Operation: 26-7=19, Resulting Numbers: [11, 19]
Generated Node #0,1,0: 22:[11, 19] Operation: 26-7=19
Exploring Operation: 11-7=4, Resulting Numbers: [26, 4]
Generated Node #0,1,1: 22:[26, 4] Operation: 11-7=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[11, 19], Operations: ['87-76=11', '26-7=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,22 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[26, 4], Operations: ['87-76=11', '11-7=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[7, 26, 87, 76], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [7, 26, 11]
Generated Node #0,1: 22:[7, 26, 11] Operation: 87-76=11
Moving to Node #0,1
Current State: 22:[7, 26, 11], Operations: ['87-76=11']
Exploring Operation: 11-7=4, Resulting Numbers: [26, 4]
Generated Node #0,1,1: 22:[26, 4] Operation: 11-7=4
Moving to Node #0,1,1
Current State: 22:[26, 4], Operations: ['87-76=11', '11-7=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
66,
59,
92,
26
] | 90 | [
"66-59=7",
"26*7=182",
"182-92=90"
] | Current State: 90:[66, 59, 92, 26], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [92, 26, 7]
Generated Node #2: [92, 26, 7] from Operation: 66-59=7
Current State: 90:[92, 26, 7], Operations: ['66-59=7']
Exploring Operation: 26*7=182, Resulting Numbers: [92, 182]
Generated Node #3: [92, 182] from Operation: 26*7=182
Current State: 90:[92, 182], Operations: ['66-59=7', '26*7=182']
Exploring Operation: 182-92=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[66, 59, 92, 26], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [92, 26, 7]
Generated Node #0,0: 90:[92, 26, 7] Operation: 66-59=7
Exploring Operation: 66+26=92, Resulting Numbers: [59, 92, 92]
Generated Node #0,1: 90:[59, 92, 92] Operation: 66+26=92
Exploring Operation: 66-26=40, Resulting Numbers: [59, 92, 40]
Generated Node #0,2: 90:[59, 92, 40] Operation: 66-26=40
Exploring Operation: 59-26=33, Resulting Numbers: [66, 92, 33]
Generated Node #0,3: 90:[66, 92, 33] Operation: 59-26=33
Exploring Operation: 92-66=26, Resulting Numbers: [59, 26, 26]
Generated Node #0,4: 90:[59, 26, 26] Operation: 92-66=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[92, 26, 7], Operations: ['66-59=7']
Exploring Operation: 92-26=66, Resulting Numbers: [7, 66]
Generated Node #0,0,0: 90:[7, 66] Operation: 92-26=66
Exploring Operation: 26-7=19, Resulting Numbers: [92, 19]
Generated Node #0,0,1: 90:[92, 19] Operation: 26-7=19
Exploring Operation: 92+7=99, Resulting Numbers: [26, 99]
Generated Node #0,0,2: 90:[26, 99] Operation: 92+7=99
Exploring Operation: 92-7=85, Resulting Numbers: [26, 85]
Generated Node #0,0,3: 90:[26, 85] Operation: 92-7=85
Exploring Operation: 26+7=33, Resulting Numbers: [92, 33]
Generated Node #0,0,4: 90:[92, 33] Operation: 26+7=33
Moving to Node #0,0,1
Current State: 90:[92, 19], Operations: ['66-59=7', '26-7=19']
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[92, 33], Operations: ['66-59=7', '26+7=33']
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 92*33=3036, Resulting Numbers: [3036]
3036,90 unequal: No Solution
Exploring Operation: 92+33=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[26, 85], Operations: ['66-59=7', '92-7=85']
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,90 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[26, 99], Operations: ['66-59=7', '92+7=99']
Exploring Operation: 99-26=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 26*99=2574, Resulting Numbers: [2574]
2574,90 unequal: No Solution
Exploring Operation: 26+99=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[7, 66], Operations: ['66-59=7', '92-26=66']
Exploring Operation: 7*66=462, Resulting Numbers: [462]
462,90 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 7+66=73, Resulting Numbers: [73]
73,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[59, 92, 92], Operations: ['66+26=92']
Exploring Operation: 92-92=0, Resulting Numbers: [59, 0]
Generated Node #0,1,0: 90:[59, 0] Operation: 92-92=0
Exploring Operation: 59+92=151, Resulting Numbers: [92, 151]
Generated Node #0,1,1: 90:[92, 151] Operation: 59+92=151
Exploring Operation: 92-59=33, Resulting Numbers: [92, 33]
Generated Node #0,1,2: 90:[92, 33] Operation: 92-59=33
Exploring Operation: 92-59=33, Resulting Numbers: [92, 33]
Generated Node #0,1,3: 90:[92, 33] Operation: 92-59=33
Exploring Operation: 92/92=1, Resulting Numbers: [59, 1]
Generated Node #0,1,4: 90:[59, 1] Operation: 92/92=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 90:[92, 33], Operations: ['66+26=92', '92-59=33']
Exploring Operation: 92+33=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Exploring Operation: 92*33=3036, Resulting Numbers: [3036]
3036,90 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No 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: 90:[92, 33], Operations: ['66+26=92', '92-59=33']
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 92+33=125, Resulting Numbers: [125]
125,90 unequal: No Solution
Exploring Operation: 92*33=3036, Resulting Numbers: [3036]
3036,90 unequal: No Solution
No 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: 90:[59, 1], Operations: ['66+26=92', '92/92=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,90 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No 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: 90:[59, 0], Operations: ['66+26=92', '92-92=0']
Exploring Operation: 59*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 59-0=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No 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: 90:[92, 151], Operations: ['66+26=92', '59+92=151']
Exploring Operation: 92+151=243, Resulting Numbers: [243]
243,90 unequal: No Solution
Exploring Operation: 151-92=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 92*151=13892, Resulting Numbers: [13892]
13892,90 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: 90:[59, 92, 40], Operations: ['66-26=40']
Exploring Operation: 59+40=99, Resulting Numbers: [92, 99]
Generated Node #0,2,0: 90:[92, 99] Operation: 59+40=99
Exploring Operation: 59-40=19, Resulting Numbers: [92, 19]
Generated Node #0,2,1: 90:[92, 19] Operation: 59-40=19
Exploring Operation: 92-59=33, Resulting Numbers: [40, 33]
Generated Node #0,2,2: 90:[40, 33] Operation: 92-59=33
Exploring Operation: 92-40=52, Resulting Numbers: [59, 52]
Generated Node #0,2,3: 90:[59, 52] Operation: 92-40=52
Exploring Operation: 92+40=132, Resulting Numbers: [59, 132]
Generated Node #0,2,4: 90:[59, 132] Operation: 92+40=132
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[92, 19], Operations: ['66-26=40', '59-40=19']
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 92*19=1748, Resulting Numbers: [1748]
1748,90 unequal: No Solution
Exploring Operation: 92+19=111, Resulting Numbers: [111]
111,90 unequal: No Solution
No 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: 90:[40, 33], Operations: ['66-26=40', '92-59=33']
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,90 unequal: No Solution
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,90 unequal: No Solution
No 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: 90:[92, 99], Operations: ['66-26=40', '59+40=99']
Exploring Operation: 92+99=191, Resulting Numbers: [191]
191,90 unequal: No Solution
Exploring Operation: 92*99=9108, Resulting Numbers: [9108]
9108,90 unequal: No Solution
Exploring Operation: 99-92=7, Resulting Numbers: [7]
7,90 unequal: No Solution
No 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: 90:[59, 52], Operations: ['66-26=40', '92-40=52']
Exploring Operation: 59*52=3068, Resulting Numbers: [3068]
3068,90 unequal: No Solution
Exploring Operation: 59+52=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,90 unequal: No Solution
No 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: 90:[59, 132], Operations: ['66-26=40', '92+40=132']
Exploring Operation: 59*132=7788, Resulting Numbers: [7788]
7788,90 unequal: No Solution
Exploring Operation: 132-59=73, Resulting Numbers: [73]
73,90 unequal: No Solution
Exploring Operation: 59+132=191, Resulting Numbers: [191]
191,90 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: 90:[59, 26, 26], Operations: ['92-66=26']
Exploring Operation: 59+26=85, Resulting Numbers: [26, 85]
Generated Node #0,4,0: 90:[26, 85] Operation: 59+26=85
Exploring Operation: 26/26=1, Resulting Numbers: [59, 1]
Generated Node #0,4,1: 90:[59, 1] Operation: 26/26=1
Exploring Operation: 59+26=85, Resulting Numbers: [26, 85]
Generated Node #0,4,2: 90:[26, 85] Operation: 59+26=85
Exploring Operation: 59-26=33, Resulting Numbers: [26, 33]
Generated Node #0,4,3: 90:[26, 33] Operation: 59-26=33
Exploring Operation: 59-26=33, Resulting Numbers: [26, 33]
Generated Node #0,4,4: 90:[26, 33] Operation: 59-26=33
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 90:[26, 33], Operations: ['92-66=26', '59-26=33']
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,90 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,90 unequal: No Solution
No 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: 90:[26, 33], Operations: ['92-66=26', '59-26=33']
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,90 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,90 unequal: No Solution
No 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: 90:[26, 85], Operations: ['92-66=26', '59+26=85']
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,90 unequal: No Solution
No 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: 90:[26, 85], Operations: ['92-66=26', '59+26=85']
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,90 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,90 unequal: No Solution
No 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: 90:[59, 1], Operations: ['92-66=26', '26/26=1']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,90 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: 90:[66, 92, 33], Operations: ['59-26=33']
Exploring Operation: 66/33=2, Resulting Numbers: [92, 2]
Generated Node #0,3,0: 90:[92, 2] Operation: 66/33=2
Exploring Operation: 92-33=59, Resulting Numbers: [66, 59]
Generated Node #0,3,1: 90:[66, 59] Operation: 92-33=59
Exploring Operation: 92-66=26, Resulting Numbers: [33, 26]
Generated Node #0,3,2: 90:[33, 26] Operation: 92-66=26
Exploring Operation: 66-33=33, Resulting Numbers: [92, 33]
Generated Node #0,3,3: 90:[92, 33] Operation: 66-33=33
Exploring Operation: 66+33=99, Resulting Numbers: [92, 99]
Generated Node #0,3,4: 90:[92, 99] Operation: 66+33=99
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 90:[92, 2], Operations: ['59-26=33', '66/33=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,90 unequal: No Solution
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[66, 59, 92, 26], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [66, 92, 33]
Generated Node #0,3: 90:[66, 92, 33] Operation: 59-26=33
Moving to Node #0,3
Current State: 90:[66, 92, 33], Operations: ['59-26=33']
Exploring Operation: 66/33=2, Resulting Numbers: [92, 2]
Generated Node #0,3,0: 90:[92, 2] Operation: 66/33=2
Moving to Node #0,3,0
Current State: 90:[92, 2], Operations: ['59-26=33', '66/33=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.914931 | hs_5 | mult_heuristic |
[
11,
73,
82,
39
] | 62 | [
"82+39=121",
"121/11=11",
"73-11=62"
] | Current State: 62:[11, 73, 82, 39], Operations: []
Exploring Operation: 82+39=121, Resulting Numbers: [11, 73, 121]
Generated Node #2: [11, 73, 121] from Operation: 82+39=121
Current State: 62:[11, 73, 121], Operations: ['82+39=121']
Exploring Operation: 121/11=11, Resulting Numbers: [73, 11]
Generated Node #3: [73, 11] from Operation: 121/11=11
Current State: 62:[73, 11], Operations: ['82+39=121', '121/11=11']
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[11, 73, 82, 39], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [11, 39, 9]
Generated Node #0,0: 62:[11, 39, 9] Operation: 82-73=9
Exploring Operation: 73-11=62, Resulting Numbers: [82, 39, 62]
Generated Node #0,1: 62:[82, 39, 62] Operation: 73-11=62
Moving to Node #0,0
Current State: 62:[11, 39, 9], Operations: ['82-73=9']
Exploring Operation: 11-9=2, Resulting Numbers: [39, 2]
Generated Node #0,0,0: 62:[39, 2] Operation: 11-9=2
Exploring Operation: 39-11=28, Resulting Numbers: [9, 28]
Generated Node #0,0,1: 62:[9, 28] Operation: 39-11=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[39, 2], Operations: ['82-73=9', '11-9=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,62 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,62 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 #0,0,1
Current State: 62:[9, 28], Operations: ['82-73=9', '39-11=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,62 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: 62:[82, 39, 62], Operations: ['73-11=62']
Exploring Operation: 82-62=20, Resulting Numbers: [39, 20]
Generated Node #0,1,0: 62:[39, 20] Operation: 82-62=20
Exploring Operation: 82-39=43, Resulting Numbers: [62, 43]
Generated Node #0,1,1: 62:[62, 43] Operation: 82-39=43
Moving to Node #0,1,1
Current State: 62:[62, 43], Operations: ['73-11=62', '82-39=43']
Exploring Operation: 62+43=105, Resulting Numbers: [105]
105,62 unequal: No Solution
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[39, 20], Operations: ['73-11=62', '82-62=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,62 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,62 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
54,
3,
63,
27
] | 42 | [
"54/3=18",
"63*18=1134",
"1134/27=42"
] | Current State: 42:[54, 3, 63, 27], Operations: []
Exploring Operation: 54/3=18, Resulting Numbers: [63, 27, 18]
Generated Node #2: [63, 27, 18] from Operation: 54/3=18
Current State: 42:[63, 27, 18], Operations: ['54/3=18']
Exploring Operation: 63*18=1134, Resulting Numbers: [27, 1134]
Generated Node #3: [27, 1134] from Operation: 63*18=1134
Current State: 42:[27, 1134], Operations: ['54/3=18', '63*18=1134']
Exploring Operation: 1134/27=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[54, 3, 63, 27], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [3, 63, 27]
Generated Node #0,0: 42:[3, 63, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [3, 63, 2]
Generated Node #0,1: 42:[3, 63, 2] Operation: 54/27=2
Exploring Operation: 63-54=9, Resulting Numbers: [3, 27, 9]
Generated Node #0,2: 42:[3, 27, 9] Operation: 63-54=9
Exploring Operation: 63-27=36, Resulting Numbers: [54, 3, 36]
Generated Node #0,3: 42:[54, 3, 36] Operation: 63-27=36
Exploring Operation: 63/3=21, Resulting Numbers: [54, 27, 21]
Generated Node #0,4: 42:[54, 27, 21] Operation: 63/3=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[3, 27, 9], Operations: ['63-54=9']
Exploring Operation: 27/3=9, Resulting Numbers: [9, 9]
Generated Node #0,2,0: 42:[9, 9] Operation: 27/3=9
Exploring Operation: 27-3=24, Resulting Numbers: [9, 24]
Generated Node #0,2,1: 42:[9, 24] Operation: 27-3=24
Exploring Operation: 27/9=3, Resulting Numbers: [3, 3]
Generated Node #0,2,2: 42:[3, 3] Operation: 27/9=3
Exploring Operation: 9-3=6, Resulting Numbers: [27, 6]
Generated Node #0,2,3: 42:[27, 6] Operation: 9-3=6
Exploring Operation: 27-9=18, Resulting Numbers: [3, 18]
Generated Node #0,2,4: 42:[3, 18] Operation: 27-9=18
Moving to Node #0,2,2
Current State: 42:[3, 3], Operations: ['63-54=9', '27/9=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Moving to Node #0,2,4
Current State: 42:[3, 18], Operations: ['63-54=9', '27-9=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,42 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[9, 9], Operations: ['63-54=9', '27/3=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[9, 24], Operations: ['63-54=9', '27-3=24']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,42 unequal: No Solution
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,42 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[27, 6], Operations: ['63-54=9', '9-3=6']
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,42 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[54, 3, 36], Operations: ['63-27=36']
Exploring Operation: 54-36=18, Resulting Numbers: [3, 18]
Generated Node #0,3,0: 42:[3, 18] Operation: 54-36=18
Exploring Operation: 54-3=51, Resulting Numbers: [36, 51]
Generated Node #0,3,1: 42:[36, 51] Operation: 54-3=51
Exploring Operation: 54/3=18, Resulting Numbers: [36, 18]
Generated Node #0,3,2: 42:[36, 18] Operation: 54/3=18
Exploring Operation: 36/3=12, Resulting Numbers: [54, 12]
Generated Node #0,3,3: 42:[54, 12] Operation: 36/3=12
Exploring Operation: 3+36=39, Resulting Numbers: [54, 39]
Generated Node #0,3,4: 42:[54, 39] Operation: 3+36=39
Moving to Node #0,3,0
Current State: 42:[3, 18], Operations: ['63-27=36', '54-36=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,42 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[36, 18], Operations: ['63-27=36', '54/3=18']
Exploring Operation: 36*18=648, Resulting Numbers: [648]
648,42 unequal: No Solution
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[54, 12], Operations: ['63-27=36', '36/3=12']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[54, 3, 63, 27], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [54, 3, 36]
Generated Node #0,3: 42:[54, 3, 36] Operation: 63-27=36
Moving to Node #0,3
Current State: 42:[54, 3, 36], Operations: ['63-27=36']
Exploring Operation: 36/3=12, Resulting Numbers: [54, 12]
Generated Node #0,3,3: 42:[54, 12] Operation: 36/3=12
Moving to Node #0,3,3
Current State: 42:[54, 12], Operations: ['63-27=36', '36/3=12']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | sum_heuristic |
[
78,
27,
32,
39
] | 86 | [
"78*27=2106",
"2106/39=54",
"32+54=86"
] | Current State: 86:[78, 27, 32, 39], Operations: []
Exploring Operation: 78*27=2106, Resulting Numbers: [32, 39, 2106]
Generated Node #2: [32, 39, 2106] from Operation: 78*27=2106
Current State: 86:[32, 39, 2106], Operations: ['78*27=2106']
Exploring Operation: 2106/39=54, Resulting Numbers: [32, 54]
Generated Node #3: [32, 54] from Operation: 2106/39=54
Current State: 86:[32, 54], Operations: ['78*27=2106', '2106/39=54']
Exploring Operation: 32+54=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[78, 27, 32, 39], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [78, 39, 5]
Generated Node #0,0: 86:[78, 39, 5] Operation: 32-27=5
Moving to Node #0,0
Current State: 86:[78, 39, 5], Operations: ['32-27=5']
Exploring Operation: 78/39=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 86:[5, 2] Operation: 78/39=2
Moving to Node #0,0,0
Current State: 86:[5, 2], Operations: ['32-27=5', '78/39=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,86 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
20,
20,
75,
89
] | 89 | [
"20-20=0",
"75*0=0",
"89+0=89"
] | Current State: 89:[20, 20, 75, 89], Operations: []
Exploring Operation: 20-20=0, Resulting Numbers: [75, 89, 0]
Generated Node #2: [75, 89, 0] from Operation: 20-20=0
Current State: 89:[75, 89, 0], Operations: ['20-20=0']
Exploring Operation: 75*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 75*0=0
Current State: 89:[89, 0], Operations: ['20-20=0', '75*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[20, 20, 75, 89], Operations: []
Exploring Operation: 20+75=95, Resulting Numbers: [20, 89, 95]
Generated Node #0,0: 89:[20, 89, 95] Operation: 20+75=95
Exploring Operation: 20+75=95, Resulting Numbers: [20, 89, 95]
Generated Node #0,1: 89:[20, 89, 95] Operation: 20+75=95
Exploring Operation: 20/20=1, Resulting Numbers: [75, 89, 1]
Generated Node #0,2: 89:[75, 89, 1] Operation: 20/20=1
Exploring Operation: 20+20=40, Resulting Numbers: [75, 89, 40]
Generated Node #0,3: 89:[75, 89, 40] Operation: 20+20=40
Moving to Node #0,3
Current State: 89:[75, 89, 40], Operations: ['20+20=40']
Exploring Operation: 89+40=129, Resulting Numbers: [75, 129]
Generated Node #0,3,0: 89:[75, 129] Operation: 89+40=129
Exploring Operation: 75-40=35, Resulting Numbers: [89, 35]
Generated Node #0,3,1: 89:[89, 35] Operation: 75-40=35
Exploring Operation: 75+40=115, Resulting Numbers: [89, 115]
Generated Node #0,3,2: 89:[89, 115] Operation: 75+40=115
Exploring Operation: 89-40=49, Resulting Numbers: [75, 49]
Generated Node #0,3,3: 89:[75, 49] Operation: 89-40=49
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[89, 115], Operations: ['20+20=40', '75+40=115']
Exploring Operation: 89+115=204, Resulting Numbers: [204]
204,89 unequal: No Solution
Exploring Operation: 115-89=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 89*115=10235, Resulting Numbers: [10235]
10235,89 unequal: No Solution
No 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: 89:[75, 129], Operations: ['20+20=40', '89+40=129']
Exploring Operation: 75*129=9675, Resulting Numbers: [9675]
9675,89 unequal: No Solution
Exploring Operation: 129-75=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 75+129=204, Resulting Numbers: [204]
204,89 unequal: No Solution
No 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: 89:[89, 35], Operations: ['20+20=40', '75-40=35']
Exploring Operation: 89+35=124, Resulting Numbers: [124]
124,89 unequal: No Solution
Exploring Operation: 89-35=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 89*35=3115, Resulting Numbers: [3115]
3115,89 unequal: No Solution
No 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: 89:[75, 49], Operations: ['20+20=40', '89-40=49']
Exploring Operation: 75-49=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 75*49=3675, Resulting Numbers: [3675]
3675,89 unequal: No Solution
Exploring Operation: 75+49=124, Resulting Numbers: [124]
124,89 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: 89:[20, 89, 95], Operations: ['20+75=95']
Exploring Operation: 20+95=115, Resulting Numbers: [89, 115]
Generated Node #0,1,0: 89:[89, 115] Operation: 20+95=115
Exploring Operation: 89-20=69, Resulting Numbers: [95, 69]
Generated Node #0,1,1: 89:[95, 69] Operation: 89-20=69
Exploring Operation: 20+89=109, Resulting Numbers: [95, 109]
Generated Node #0,1,2: 89:[95, 109] Operation: 20+89=109
Exploring Operation: 95-20=75, Resulting Numbers: [89, 75]
Generated Node #0,1,3: 89:[89, 75] Operation: 95-20=75
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 89:[89, 75], Operations: ['20+75=95', '95-20=75']
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,89 unequal: No Solution
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,89 unequal: No Solution
No 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: 89:[89, 115], Operations: ['20+75=95', '20+95=115']
Exploring Operation: 89+115=204, Resulting Numbers: [204]
204,89 unequal: No Solution
Exploring Operation: 89*115=10235, Resulting Numbers: [10235]
10235,89 unequal: No Solution
Exploring Operation: 115-89=26, Resulting Numbers: [26]
26,89 unequal: No Solution
No 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: 89:[95, 69], Operations: ['20+75=95', '89-20=69']
Exploring Operation: 95+69=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 95*69=6555, Resulting Numbers: [6555]
6555,89 unequal: No Solution
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,89 unequal: No Solution
No 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: 89:[95, 109], Operations: ['20+75=95', '20+89=109']
Exploring Operation: 95+109=204, Resulting Numbers: [204]
204,89 unequal: No Solution
Exploring Operation: 95*109=10355, Resulting Numbers: [10355]
10355,89 unequal: No Solution
Exploring Operation: 109-95=14, Resulting Numbers: [14]
14,89 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: 89:[20, 89, 95], Operations: ['20+75=95']
Exploring Operation: 20+89=109, Resulting Numbers: [95, 109]
Generated Node #0,0,0: 89:[95, 109] Operation: 20+89=109
Exploring Operation: 95-20=75, Resulting Numbers: [89, 75]
Generated Node #0,0,1: 89:[89, 75] Operation: 95-20=75
Exploring Operation: 89-20=69, Resulting Numbers: [95, 69]
Generated Node #0,0,2: 89:[95, 69] Operation: 89-20=69
Exploring Operation: 20+95=115, Resulting Numbers: [89, 115]
Generated Node #0,0,3: 89:[89, 115] Operation: 20+95=115
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[89, 75], Operations: ['20+75=95', '95-20=75']
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,89 unequal: No Solution
No 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: 89:[95, 109], Operations: ['20+75=95', '20+89=109']
Exploring Operation: 95+109=204, Resulting Numbers: [204]
204,89 unequal: No Solution
Exploring Operation: 109-95=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 95*109=10355, Resulting Numbers: [10355]
10355,89 unequal: No Solution
No 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: 89:[95, 69], Operations: ['20+75=95', '89-20=69']
Exploring Operation: 95+69=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 95*69=6555, Resulting Numbers: [6555]
6555,89 unequal: No Solution
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,89 unequal: No Solution
No 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: 89:[89, 115], Operations: ['20+75=95', '20+95=115']
Exploring Operation: 89+115=204, Resulting Numbers: [204]
204,89 unequal: No Solution
Exploring Operation: 115-89=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 89*115=10235, Resulting Numbers: [10235]
10235,89 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: 89:[75, 89, 1], Operations: ['20/20=1']
Exploring Operation: 89*1=89, Resulting Numbers: [75, 89]
Generated Node #0,2,0: 89:[75, 89] Operation: 89*1=89
Exploring Operation: 75+1=76, Resulting Numbers: [89, 76]
Generated Node #0,2,1: 89:[89, 76] Operation: 75+1=76
Exploring Operation: 75*1=75, Resulting Numbers: [89, 75]
Generated Node #0,2,2: 89:[89, 75] Operation: 75*1=75
Exploring Operation: 75/1=75, Resulting Numbers: [89, 75]
Generated Node #0,2,3: 89:[89, 75] Operation: 75/1=75
Moving to Node #0,2,1
Current State: 89:[89, 76], Operations: ['20/20=1', '75+1=76']
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 89+76=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 89*76=6764, Resulting Numbers: [6764]
6764,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[89, 75], Operations: ['20/20=1', '75*1=75']
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,89 unequal: No Solution
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[75, 89], Operations: ['20/20=1', '89*1=89']
Exploring Operation: 75+89=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 75*89=6675, Resulting Numbers: [6675]
6675,89 unequal: No Solution
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[89, 75], Operations: ['20/20=1', '75/1=75']
Exploring Operation: 89*75=6675, Resulting Numbers: [6675]
6675,89 unequal: No Solution
Exploring Operation: 89+75=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 89-75=14, Resulting Numbers: [14]
14,89 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
37,
36,
9,
47
] | 62 | [
"47-36=11",
"9*11=99",
"99-37=62"
] | Current State: 62:[37, 36, 9, 47], Operations: []
Exploring Operation: 47-36=11, Resulting Numbers: [37, 9, 11]
Generated Node #2: [37, 9, 11] from Operation: 47-36=11
Current State: 62:[37, 9, 11], Operations: ['47-36=11']
Exploring Operation: 9*11=99, Resulting Numbers: [37, 99]
Generated Node #3: [37, 99] from Operation: 9*11=99
Current State: 62:[37, 99], Operations: ['47-36=11', '9*11=99']
Exploring Operation: 99-37=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[37, 36, 9, 47], Operations: []
Exploring Operation: 9+47=56, Resulting Numbers: [37, 36, 56]
Generated Node #0,0: 62:[37, 36, 56] Operation: 9+47=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[37, 36, 56], Operations: ['9+47=56']
Exploring Operation: 37-36=1, Resulting Numbers: [56, 1]
Generated Node #0,0,0: 62:[56, 1] Operation: 37-36=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[56, 1], Operations: ['9+47=56', '37-36=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,62 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_1 | sum_heuristic |
[
99,
3,
21,
37
] | 51 | [
"37-21=16",
"3*16=48",
"99-48=51"
] | Current State: 51:[99, 3, 21, 37], Operations: []
Exploring Operation: 37-21=16, Resulting Numbers: [99, 3, 16]
Generated Node #2: [99, 3, 16] from Operation: 37-21=16
Current State: 51:[99, 3, 16], Operations: ['37-21=16']
Exploring Operation: 3*16=48, Resulting Numbers: [99, 48]
Generated Node #3: [99, 48] from Operation: 3*16=48
Current State: 51:[99, 48], Operations: ['37-21=16', '3*16=48']
Exploring Operation: 99-48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[99, 3, 21, 37], Operations: []
Exploring Operation: 99-21=78, Resulting Numbers: [3, 37, 78]
Generated Node #0,0: 51:[3, 37, 78] Operation: 99-21=78
Exploring Operation: 99-37=62, Resulting Numbers: [3, 21, 62]
Generated Node #0,1: 51:[3, 21, 62] Operation: 99-37=62
Exploring Operation: 99/3=33, Resulting Numbers: [21, 37, 33]
Generated Node #0,2: 51:[21, 37, 33] Operation: 99/3=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[3, 21, 62], Operations: ['99-37=62']
Exploring Operation: 62-3=59, Resulting Numbers: [21, 59]
Generated Node #0,1,0: 51:[21, 59] Operation: 62-3=59
Exploring Operation: 21-3=18, Resulting Numbers: [62, 18]
Generated Node #0,1,1: 51:[62, 18] Operation: 21-3=18
Exploring Operation: 62-21=41, Resulting Numbers: [3, 41]
Generated Node #0,1,2: 51:[3, 41] Operation: 62-21=41
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[3, 41], Operations: ['99-37=62', '62-21=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,51 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[21, 59], Operations: ['99-37=62', '62-3=59']
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 21+59=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 21*59=1239, Resulting Numbers: [1239]
1239,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[62, 18], Operations: ['99-37=62', '21-3=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 62*18=1116, Resulting Numbers: [1116]
1116,51 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[21, 37, 33], Operations: ['99/3=33']
Exploring Operation: 37-33=4, Resulting Numbers: [21, 4]
Generated Node #0,2,0: 51:[21, 4] Operation: 37-33=4
Exploring Operation: 21+33=54, Resulting Numbers: [37, 54]
Generated Node #0,2,1: 51:[37, 54] Operation: 21+33=54
Exploring Operation: 37-21=16, Resulting Numbers: [33, 16]
Generated Node #0,2,2: 51:[33, 16] Operation: 37-21=16
Moving to Node #0,2,0
Current State: 51:[21, 4], Operations: ['99/3=33', '37-33=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,51 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[37, 54], Operations: ['99/3=33', '21+33=54']
Exploring Operation: 37*54=1998, Resulting Numbers: [1998]
1998,51 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[33, 16], Operations: ['99/3=33', '37-21=16']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,51 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[3, 37, 78], Operations: ['99-21=78']
Exploring Operation: 78/3=26, Resulting Numbers: [37, 26]
Generated Node #0,0,0: 51:[37, 26] Operation: 78/3=26
Exploring Operation: 78-37=41, Resulting Numbers: [3, 41]
Generated Node #0,0,1: 51:[3, 41] Operation: 78-37=41
Exploring Operation: 3+37=40, Resulting Numbers: [78, 40]
Generated Node #0,0,2: 51:[78, 40] Operation: 3+37=40
Moving to Node #0,0,1
Current State: 51:[3, 41], Operations: ['99-21=78', '78-37=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,51 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[37, 26], Operations: ['99-21=78', '78/3=26']
Exploring Operation: 37*26=962, Resulting Numbers: [962]
962,51 unequal: No Solution
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 37+26=63, Resulting Numbers: [63]
63,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[78, 40], Operations: ['99-21=78', '3+37=40']
Exploring Operation: 78*40=3120, Resulting Numbers: [3120]
3120,51 unequal: No Solution
Exploring Operation: 78+40=118, Resulting Numbers: [118]
118,51 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,51 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 |
[
42,
35,
90,
87
] | 70 | [
"87-42=45",
"35*90=3150",
"3150/45=70"
] | Current State: 70:[42, 35, 90, 87], Operations: []
Exploring Operation: 87-42=45, Resulting Numbers: [35, 90, 45]
Generated Node #2: [35, 90, 45] from Operation: 87-42=45
Current State: 70:[35, 90, 45], Operations: ['87-42=45']
Exploring Operation: 35*90=3150, Resulting Numbers: [45, 3150]
Generated Node #3: [45, 3150] from Operation: 35*90=3150
Current State: 70:[45, 3150], Operations: ['87-42=45', '35*90=3150']
Exploring Operation: 3150/45=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[42, 35, 90, 87], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [42, 35, 3]
Generated Node #0,0: 70:[42, 35, 3] Operation: 90-87=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[42, 35, 3], Operations: ['90-87=3']
Exploring Operation: 42/3=14, Resulting Numbers: [35, 14]
Generated Node #0,0,0: 70:[35, 14] Operation: 42/3=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[35, 14], Operations: ['90-87=3', '42/3=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,70 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 |
[
95,
16,
15,
65
] | 32 | [
"95-65=30",
"16*30=480",
"480/15=32"
] | Current State: 32:[95, 16, 15, 65], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [16, 15, 30]
Generated Node #2: [16, 15, 30] from Operation: 95-65=30
Current State: 32:[16, 15, 30], Operations: ['95-65=30']
Exploring Operation: 16*30=480, Resulting Numbers: [15, 480]
Generated Node #3: [15, 480] from Operation: 16*30=480
Current State: 32:[15, 480], Operations: ['95-65=30', '16*30=480']
Exploring Operation: 480/15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[95, 16, 15, 65], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [16, 15, 30]
Generated Node #0,0: 32:[16, 15, 30] Operation: 95-65=30
Moving to Node #0,0
Current State: 32:[16, 15, 30], Operations: ['95-65=30']
Exploring Operation: 30/15=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 32:[16, 2] Operation: 30/15=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[16, 2], Operations: ['95-65=30', '30/15=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[95, 16, 15, 65], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [16, 15, 30]
Generated Node #0,0: 32:[16, 15, 30] Operation: 95-65=30
Moving to Node #0,0
Current State: 32:[16, 15, 30], Operations: ['95-65=30']
Exploring Operation: 30/15=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 32:[16, 2] Operation: 30/15=2
Moving to Node #0,0,0
Current State: 32:[16, 2], Operations: ['95-65=30', '30/15=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
84,
71,
74,
96
] | 68 | [
"74-71=3",
"84/3=28",
"96-28=68"
] | Current State: 68:[84, 71, 74, 96], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [84, 96, 3]
Generated Node #2: [84, 96, 3] from Operation: 74-71=3
Current State: 68:[84, 96, 3], Operations: ['74-71=3']
Exploring Operation: 84/3=28, Resulting Numbers: [96, 28]
Generated Node #3: [96, 28] from Operation: 84/3=28
Current State: 68:[96, 28], Operations: ['74-71=3', '84/3=28']
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[84, 71, 74, 96], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [71, 74, 12]
Generated Node #0,0: 68:[71, 74, 12] Operation: 96-84=12
Exploring Operation: 96-74=22, Resulting Numbers: [84, 71, 22]
Generated Node #0,1: 68:[84, 71, 22] Operation: 96-74=22
Moving to Node #0,0
Current State: 68:[71, 74, 12], Operations: ['96-84=12']
Exploring Operation: 74-12=62, Resulting Numbers: [71, 62]
Generated Node #0,0,0: 68:[71, 62] Operation: 74-12=62
Exploring Operation: 74-71=3, Resulting Numbers: [12, 3]
Generated Node #0,0,1: 68:[12, 3] Operation: 74-71=3
Moving to Node #0,1
Current State: 68:[84, 71, 22], Operations: ['96-74=22']
Exploring Operation: 84-22=62, Resulting Numbers: [71, 62]
Generated Node #0,1,0: 68:[71, 62] Operation: 84-22=62
Exploring Operation: 84-71=13, Resulting Numbers: [22, 13]
Generated Node #0,1,1: 68:[22, 13] Operation: 84-71=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[71, 62], Operations: ['96-74=22', '84-22=62']
Exploring Operation: 71+62=133, Resulting Numbers: [133]
133,68 unequal: No Solution
Exploring Operation: 71-62=9, Resulting Numbers: [9]
9,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[22, 13], Operations: ['96-74=22', '84-71=13']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,68 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 68:[12, 3], Operations: ['96-84=12', '74-71=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[71, 62], Operations: ['96-84=12', '74-12=62']
Exploring Operation: 71+62=133, Resulting Numbers: [133]
133,68 unequal: No Solution
Exploring Operation: 71-62=9, Resulting Numbers: [9]
9,68 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
96,
19,
11
] | 93 | [
"2*11=22",
"96+19=115",
"115-22=93"
] | Current State: 93:[2, 96, 19, 11], Operations: []
Exploring Operation: 2*11=22, Resulting Numbers: [96, 19, 22]
Generated Node #2: [96, 19, 22] from Operation: 2*11=22
Current State: 93:[96, 19, 22], Operations: ['2*11=22']
Exploring Operation: 96+19=115, Resulting Numbers: [22, 115]
Generated Node #3: [22, 115] from Operation: 96+19=115
Current State: 93:[22, 115], Operations: ['2*11=22', '96+19=115']
Exploring Operation: 115-22=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[2, 96, 19, 11], Operations: []
Exploring Operation: 19+11=30, Resulting Numbers: [2, 96, 30]
Generated Node #0,0: 93:[2, 96, 30] Operation: 19+11=30
Exploring Operation: 19-11=8, Resulting Numbers: [2, 96, 8]
Generated Node #0,1: 93:[2, 96, 8] Operation: 19-11=8
Moving to Node #0,0
Current State: 93:[2, 96, 30], Operations: ['19+11=30']
Exploring Operation: 96-2=94, Resulting Numbers: [30, 94]
Generated Node #0,0,0: 93:[30, 94] Operation: 96-2=94
Exploring Operation: 2+30=32, Resulting Numbers: [96, 32]
Generated Node #0,0,1: 93:[96, 32] Operation: 2+30=32
Moving to Node #0,1
Current State: 93:[2, 96, 8], Operations: ['19-11=8']
Exploring Operation: 8/2=4, Resulting Numbers: [96, 4]
Generated Node #0,1,0: 93:[96, 4] Operation: 8/2=4
Exploring Operation: 96-2=94, Resulting Numbers: [8, 94]
Generated Node #0,1,1: 93:[8, 94] Operation: 96-2=94
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[96, 4], Operations: ['19-11=8', '8/2=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,93 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,93 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 #0,1,1
Current State: 93:[8, 94], Operations: ['19-11=8', '96-2=94']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 8+94=102, Resulting Numbers: [102]
102,93 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: 93:[30, 94], Operations: ['19+11=30', '96-2=94']
Exploring Operation: 30+94=124, Resulting Numbers: [124]
124,93 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[96, 32], Operations: ['19+11=30', '2+30=32']
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,93 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
70,
9,
83,
55
] | 59 | [
"70+9=79",
"83+55=138",
"138-79=59"
] | Current State: 59:[70, 9, 83, 55], Operations: []
Exploring Operation: 70+9=79, Resulting Numbers: [83, 55, 79]
Generated Node #2: [83, 55, 79] from Operation: 70+9=79
Current State: 59:[83, 55, 79], Operations: ['70+9=79']
Exploring Operation: 83+55=138, Resulting Numbers: [79, 138]
Generated Node #3: [79, 138] from Operation: 83+55=138
Current State: 59:[79, 138], Operations: ['70+9=79', '83+55=138']
Exploring Operation: 138-79=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[70, 9, 83, 55], Operations: []
Exploring Operation: 70-9=61, Resulting Numbers: [83, 55, 61]
Generated Node #0,0: 59:[83, 55, 61] Operation: 70-9=61
Exploring Operation: 83-9=74, Resulting Numbers: [70, 55, 74]
Generated Node #0,1: 59:[70, 55, 74] Operation: 83-9=74
Moving to Node #0,0
Current State: 59:[83, 55, 61], Operations: ['70-9=61']
Exploring Operation: 83-55=28, Resulting Numbers: [61, 28]
Generated Node #0,0,0: 59:[61, 28] Operation: 83-55=28
Exploring Operation: 83-61=22, Resulting Numbers: [55, 22]
Generated Node #0,0,1: 59:[55, 22] Operation: 83-61=22
Moving to Node #0,1
Current State: 59:[70, 55, 74], Operations: ['83-9=74']
Exploring Operation: 70-55=15, Resulting Numbers: [74, 15]
Generated Node #0,1,0: 59:[74, 15] Operation: 70-55=15
Exploring Operation: 74-55=19, Resulting Numbers: [70, 19]
Generated Node #0,1,1: 59:[70, 19] Operation: 74-55=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[70, 19], Operations: ['83-9=74', '74-55=19']
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,59 unequal: No Solution
Exploring Operation: 70+19=89, Resulting Numbers: [89]
89,59 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 #0,1,0
Current State: 59:[74, 15], Operations: ['83-9=74', '70-55=15']
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[70, 9, 83, 55], Operations: []
Exploring Operation: 83-9=74, Resulting Numbers: [70, 55, 74]
Generated Node #0,1: 59:[70, 55, 74] Operation: 83-9=74
Moving to Node #0,1
Current State: 59:[70, 55, 74], Operations: ['83-9=74']
Exploring Operation: 70-55=15, Resulting Numbers: [74, 15]
Generated Node #0,1,0: 59:[74, 15] Operation: 70-55=15
Moving to Node #0,1,0
Current State: 59:[74, 15], Operations: ['83-9=74', '70-55=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
61,
47,
14,
96
] | 96 | [
"61-47=14",
"14+96=110",
"110-14=96"
] | Current State: 96:[61, 47, 14, 96], Operations: []
Exploring Operation: 61-47=14, Resulting Numbers: [14, 96, 14]
Generated Node #2: [14, 96, 14] from Operation: 61-47=14
Current State: 96:[14, 96, 14], Operations: ['61-47=14']
Exploring Operation: 14+96=110, Resulting Numbers: [110]
110,96 equal: Goal Reached
Exploring Operation: 110-14=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[61, 47, 14, 96], Operations: []
Exploring Operation: 61-47=14, Resulting Numbers: [14, 96, 14]
Generated Node #0,0: 96:[14, 96, 14] Operation: 61-47=14
Exploring Operation: 96-61=35, Resulting Numbers: [47, 14, 35]
Generated Node #0,1: 96:[47, 14, 35] Operation: 96-61=35
Exploring Operation: 61-14=47, Resulting Numbers: [47, 96, 47]
Generated Node #0,2: 96:[47, 96, 47] Operation: 61-14=47
Exploring Operation: 61+47=108, Resulting Numbers: [14, 96, 108]
Generated Node #0,3: 96:[14, 96, 108] Operation: 61+47=108
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[47, 96, 47], Operations: ['61-14=47']
Exploring Operation: 47-47=0, Resulting Numbers: [96, 0]
Generated Node #0,2,0: 96:[96, 0] Operation: 47-47=0
Exploring Operation: 47/47=1, Resulting Numbers: [96, 1]
Generated Node #0,2,1: 96:[96, 1] Operation: 47/47=1
Exploring Operation: 47+47=94, Resulting Numbers: [96, 94]
Generated Node #0,2,2: 96:[96, 94] Operation: 47+47=94
Exploring Operation: 96-47=49, Resulting Numbers: [47, 49]
Generated Node #0,2,3: 96:[47, 49] Operation: 96-47=49
Moving to Node #0,2,1
Current State: 96:[96, 1], Operations: ['61-14=47', '47/47=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[61, 47, 14, 96], Operations: []
Exploring Operation: 61-14=47, Resulting Numbers: [47, 96, 47]
Generated Node #0,2: 96:[47, 96, 47] Operation: 61-14=47
Moving to Node #0,2
Current State: 96:[47, 96, 47], Operations: ['61-14=47']
Exploring Operation: 47/47=1, Resulting Numbers: [96, 1]
Generated Node #0,2,1: 96:[96, 1] Operation: 47/47=1
Moving to Node #0,2,1
Current State: 96:[96, 1], Operations: ['61-14=47', '47/47=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
32,
35,
61,
63
] | 19 | [
"63-61=2",
"32/2=16",
"35-16=19"
] | Current State: 19:[32, 35, 61, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [32, 35, 2]
Generated Node #2: [32, 35, 2] from Operation: 63-61=2
Current State: 19:[32, 35, 2], Operations: ['63-61=2']
Exploring Operation: 32/2=16, Resulting Numbers: [35, 16]
Generated Node #3: [35, 16] from Operation: 32/2=16
Current State: 19:[35, 16], Operations: ['63-61=2', '32/2=16']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[32, 35, 61, 63], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [35, 63, 29]
Generated Node #0,0: 19:[35, 63, 29] Operation: 61-32=29
Exploring Operation: 61-35=26, Resulting Numbers: [32, 63, 26]
Generated Node #0,1: 19:[32, 63, 26] Operation: 61-35=26
Exploring Operation: 63-61=2, Resulting Numbers: [32, 35, 2]
Generated Node #0,2: 19:[32, 35, 2] Operation: 63-61=2
Exploring Operation: 63-35=28, Resulting Numbers: [32, 61, 28]
Generated Node #0,3: 19:[32, 61, 28] Operation: 63-35=28
Moving to Node #0,2
Current State: 19:[32, 35, 2], Operations: ['63-61=2']
Exploring Operation: 35-2=33, Resulting Numbers: [32, 33]
Generated Node #0,2,0: 19:[32, 33] Operation: 35-2=33
Exploring Operation: 32+2=34, Resulting Numbers: [35, 34]
Generated Node #0,2,1: 19:[35, 34] Operation: 32+2=34
Exploring Operation: 32/2=16, Resulting Numbers: [35, 16]
Generated Node #0,2,2: 19:[35, 16] Operation: 32/2=16
Exploring Operation: 32-2=30, Resulting Numbers: [35, 30]
Generated Node #0,2,3: 19:[35, 30] Operation: 32-2=30
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 19:[35, 16], Operations: ['63-61=2', '32/2=16']
Exploring Operation: 35*16=560, Resulting Numbers: [560]
560,19 unequal: No Solution
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[32, 35, 61, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [32, 35, 2]
Generated Node #0,2: 19:[32, 35, 2] Operation: 63-61=2
Moving to Node #0,2
Current State: 19:[32, 35, 2], Operations: ['63-61=2']
Exploring Operation: 32/2=16, Resulting Numbers: [35, 16]
Generated Node #0,2,2: 19:[35, 16] Operation: 32/2=16
Moving to Node #0,2,2
Current State: 19:[35, 16], Operations: ['63-61=2', '32/2=16']
Exploring Operation: 35-16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
1,
29,
54,
72
] | 46 | [
"29-1=28",
"72-54=18",
"28+18=46"
] | Current State: 46:[1, 29, 54, 72], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [54, 72, 28]
Generated Node #2: [54, 72, 28] from Operation: 29-1=28
Current State: 46:[54, 72, 28], Operations: ['29-1=28']
Exploring Operation: 72-54=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 72-54=18
Current State: 46:[28, 18], Operations: ['29-1=28', '72-54=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[1, 29, 54, 72], Operations: []
Exploring Operation: 72-29=43, Resulting Numbers: [1, 54, 43]
Generated Node #0,0: 46:[1, 54, 43] Operation: 72-29=43
Moving to Node #0,0
Current State: 46:[1, 54, 43], Operations: ['72-29=43']
Exploring Operation: 54-1=53, Resulting Numbers: [43, 53]
Generated Node #0,0,0: 46:[43, 53] Operation: 54-1=53
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[43, 53], Operations: ['72-29=43', '54-1=53']
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,46 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 |
[
83,
91,
16,
71
] | 87 | [
"83+91=174",
"16+71=87",
"174-87=87"
] | Current State: 87:[83, 91, 16, 71], Operations: []
Exploring Operation: 83+91=174, Resulting Numbers: [16, 71, 174]
Generated Node #2: [16, 71, 174] from Operation: 83+91=174
Current State: 87:[16, 71, 174], Operations: ['83+91=174']
Exploring Operation: 16+71=87, Resulting Numbers: [174, 87]
Generated Node #3: [174, 87] from Operation: 16+71=87
Current State: 87:[174, 87], Operations: ['83+91=174', '16+71=87']
Exploring Operation: 174-87=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[83, 91, 16, 71], Operations: []
Exploring Operation: 16+71=87, Resulting Numbers: [83, 91, 87]
Generated Node #0,0: 87:[83, 91, 87] Operation: 16+71=87
Moving to Node #0,0
Current State: 87:[83, 91, 87], Operations: ['16+71=87']
Exploring Operation: 91-83=8, Resulting Numbers: [87, 8]
Generated Node #0,0,0: 87:[87, 8] Operation: 91-83=8
Moving to Node #0,0,0
Current State: 87:[87, 8], Operations: ['16+71=87', '91-83=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,87 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
43,
50,
85,
79
] | 71 | [
"43+50=93",
"85+79=164",
"164-93=71"
] | Current State: 71:[43, 50, 85, 79], Operations: []
Exploring Operation: 43+50=93, Resulting Numbers: [85, 79, 93]
Generated Node #2: [85, 79, 93] from Operation: 43+50=93
Current State: 71:[85, 79, 93], Operations: ['43+50=93']
Exploring Operation: 85+79=164, Resulting Numbers: [93, 164]
Generated Node #3: [93, 164] from Operation: 85+79=164
Current State: 71:[93, 164], Operations: ['43+50=93', '85+79=164']
Exploring Operation: 164-93=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[43, 50, 85, 79], Operations: []
Exploring Operation: 43+50=93, Resulting Numbers: [85, 79, 93]
Generated Node #0,0: 71:[85, 79, 93] Operation: 43+50=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[85, 79, 93], Operations: ['43+50=93']
Exploring Operation: 93-85=8, Resulting Numbers: [79, 8]
Generated Node #0,0,0: 71:[79, 8] Operation: 93-85=8
Moving to Node #0,0,0
Current State: 71:[79, 8], Operations: ['43+50=93', '93-85=8']
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[43, 50, 85, 79], Operations: []
Exploring Operation: 43+50=93, Resulting Numbers: [85, 79, 93]
Generated Node #0,0: 71:[85, 79, 93] Operation: 43+50=93
Moving to Node #0,0
Current State: 71:[85, 79, 93], Operations: ['43+50=93']
Exploring Operation: 93-85=8, Resulting Numbers: [79, 8]
Generated Node #0,0,0: 71:[79, 8] Operation: 93-85=8
Moving to Node #0,0,0
Current State: 71:[79, 8], Operations: ['43+50=93', '93-85=8']
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
38,
3,
3,
7
] | 50 | [
"7-3=4",
"3*4=12",
"38+12=50"
] | Current State: 50:[38, 3, 3, 7], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [38, 4]
Generated Node #2: [38, 4] from Operation: 7-3=4
Current State: 50:[38, 4], Operations: ['7-3=4']
Exploring Operation: 3*4=12, Resulting Numbers: [38, 12]
Generated Node #3: [38, 12] from Operation: 3*4=12
Current State: 50:[38, 12], Operations: ['7-3=4', '3*4=12']
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[38, 3, 3, 7], Operations: []
Exploring Operation: 38+3=41, Resulting Numbers: [3, 7, 41]
Generated Node #0,0: 50:[3, 7, 41] Operation: 38+3=41
Exploring Operation: 38+7=45, Resulting Numbers: [3, 3, 45]
Generated Node #0,1: 50:[3, 3, 45] Operation: 38+7=45
Exploring Operation: 38-7=31, Resulting Numbers: [3, 3, 31]
Generated Node #0,2: 50:[3, 3, 31] Operation: 38-7=31
Exploring Operation: 38+3=41, Resulting Numbers: [3, 7, 41]
Generated Node #0,3: 50:[3, 7, 41] Operation: 38+3=41
Exploring Operation: 38-3=35, Resulting Numbers: [3, 7, 35]
Generated Node #0,4: 50:[3, 7, 35] Operation: 38-3=35
Moving to Node #0,1
Current State: 50:[3, 3, 45], Operations: ['38+7=45']
Exploring Operation: 3*3=9, Resulting Numbers: [45, 9]
Generated Node #0,1,0: 50:[45, 9] Operation: 3*3=9
Exploring Operation: 3/3=1, Resulting Numbers: [45, 1]
Generated Node #0,1,1: 50:[45, 1] Operation: 3/3=1
Exploring Operation: 3+45=48, Resulting Numbers: [3, 48]
Generated Node #0,1,2: 50:[3, 48] Operation: 3+45=48
Exploring Operation: 3+3=6, Resulting Numbers: [45, 6]
Generated Node #0,1,3: 50:[45, 6] Operation: 3+3=6
Exploring Operation: 3+45=48, Resulting Numbers: [3, 48]
Generated Node #0,1,4: 50:[3, 48] Operation: 3+45=48
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[3, 48], Operations: ['38+7=45', '3+45=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 50:[3, 48], Operations: ['38+7=45', '3+45=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,50 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[45, 9], Operations: ['38+7=45', '3*3=9']
Exploring Operation: 45*9=405, Resulting Numbers: [405]
405,50 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,50 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,50 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:[45, 1], Operations: ['38+7=45', '3/3=1']
Exploring Operation: 45+1=46, Resulting Numbers: [46]
46,50 unequal: No Solution
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 50:[45, 6], Operations: ['38+7=45', '3+3=6']
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,50 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,50 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:[3, 3, 31], Operations: ['38-7=31']
Exploring Operation: 3+3=6, Resulting Numbers: [31, 6]
Generated Node #0,2,0: 50:[31, 6] Operation: 3+3=6
Exploring Operation: 31-3=28, Resulting Numbers: [3, 28]
Generated Node #0,2,1: 50:[3, 28] Operation: 31-3=28
Exploring Operation: 3/3=1, Resulting Numbers: [31, 1]
Generated Node #0,2,2: 50:[31, 1] Operation: 3/3=1
Exploring Operation: 31-3=28, Resulting Numbers: [3, 28]
Generated Node #0,2,3: 50:[3, 28] Operation: 31-3=28
Exploring Operation: 3*3=9, Resulting Numbers: [31, 9]
Generated Node #0,2,4: 50:[31, 9] Operation: 3*3=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[3, 28], Operations: ['38-7=31', '31-3=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 50:[3, 28], Operations: ['38-7=31', '31-3=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,50 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[31, 6], Operations: ['38-7=31', '3+3=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[31, 1], Operations: ['38-7=31', '3/3=1']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,50 unequal: No Solution
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 50:[31, 9], Operations: ['38-7=31', '3*3=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 31+9=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 31*9=279, Resulting Numbers: [279]
279,50 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: 50:[3, 7, 41], Operations: ['38+3=41']
Exploring Operation: 3+7=10, Resulting Numbers: [41, 10]
Generated Node #0,0,0: 50:[41, 10] Operation: 3+7=10
Exploring Operation: 3+41=44, Resulting Numbers: [7, 44]
Generated Node #0,0,1: 50:[7, 44] Operation: 3+41=44
Exploring Operation: 41-7=34, Resulting Numbers: [3, 34]
Generated Node #0,0,2: 50:[3, 34] Operation: 41-7=34
Exploring Operation: 7+41=48, Resulting Numbers: [3, 48]
Generated Node #0,0,3: 50:[3, 48] Operation: 7+41=48
Exploring Operation: 7-3=4, Resulting Numbers: [41, 4]
Generated Node #0,0,4: 50:[41, 4] Operation: 7-3=4
Moving to Node #0,3
Current State: 50:[3, 7, 41], Operations: ['38+3=41']
Exploring Operation: 3+41=44, Resulting Numbers: [7, 44]
Generated Node #0,3,0: 50:[7, 44] Operation: 3+41=44
Exploring Operation: 7+41=48, Resulting Numbers: [3, 48]
Generated Node #0,3,1: 50:[3, 48] Operation: 7+41=48
Exploring Operation: 41-7=34, Resulting Numbers: [3, 34]
Generated Node #0,3,2: 50:[3, 34] Operation: 41-7=34
Exploring Operation: 7-3=4, Resulting Numbers: [41, 4]
Generated Node #0,3,3: 50:[41, 4] Operation: 7-3=4
Exploring Operation: 3+7=10, Resulting Numbers: [41, 10]
Generated Node #0,3,4: 50:[41, 10] Operation: 3+7=10
Moving to Node #0,4
Current State: 50:[3, 7, 35], Operations: ['38-3=35']
Exploring Operation: 35-7=28, Resulting Numbers: [3, 28]
Generated Node #0,4,0: 50:[3, 28] Operation: 35-7=28
Exploring Operation: 3+7=10, Resulting Numbers: [35, 10]
Generated Node #0,4,1: 50:[35, 10] Operation: 3+7=10
Exploring Operation: 35-3=32, Resulting Numbers: [7, 32]
Generated Node #0,4,2: 50:[7, 32] Operation: 35-3=32
Exploring Operation: 7+35=42, Resulting Numbers: [3, 42]
Generated Node #0,4,3: 50:[3, 42] Operation: 7+35=42
Exploring Operation: 35/7=5, Resulting Numbers: [3, 5]
Generated Node #0,4,4: 50:[3, 5] Operation: 35/7=5
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 50:[3, 5], Operations: ['38-3=35', '35/7=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,50 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,50 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,50 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 #0,4,0
Current State: 50:[3, 28], Operations: ['38-3=35', '35-7=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,50 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 #0,4,2
Current State: 50:[7, 32], Operations: ['38-3=35', '35-3=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,50 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 #0,4,3
Current State: 50:[3, 42], Operations: ['38-3=35', '7+35=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,50 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,50 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 #0,4,1
Current State: 50:[35, 10], Operations: ['38-3=35', '3+7=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,50 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 50:[3, 48], Operations: ['38+3=41', '7+41=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,50 unequal: No Solution
Moving to Node #0,3,1
Current State: 50:[3, 48], Operations: ['38+3=41', '7+41=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[7, 44], Operations: ['38+3=41', '3+41=44']
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[7, 44], Operations: ['38+3=41', '3+41=44']
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,50 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[41, 10], Operations: ['38+3=41', '3+7=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 41*10=410, Resulting Numbers: [410]
410,50 unequal: No Solution
Moving to Node #0,3,4
Current State: 50:[41, 10], Operations: ['38+3=41', '3+7=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 41*10=410, Resulting Numbers: [410]
410,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[3, 34], Operations: ['38+3=41', '41-7=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,50 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[41, 4], Operations: ['38+3=41', '7-3=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,50 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Moving to Node #0,0,4
Current State: 50:[41, 4], Operations: ['38+3=41', '7-3=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,50 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,50 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[3, 34], Operations: ['38+3=41', '41-7=34']
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,50 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,50 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
85,
49,
24,
97
] | 51 | [
"97-85=12",
"24/12=2",
"49+2=51"
] | Current State: 51:[85, 49, 24, 97], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [49, 24, 12]
Generated Node #2: [49, 24, 12] from Operation: 97-85=12
Current State: 51:[49, 24, 12], Operations: ['97-85=12']
Exploring Operation: 24/12=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 24/12=2
Current State: 51:[49, 2], Operations: ['97-85=12', '24/12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[85, 49, 24, 97], Operations: []
Exploring Operation: 97-24=73, Resulting Numbers: [85, 49, 73]
Generated Node #0,0: 51:[85, 49, 73] Operation: 97-24=73
Exploring Operation: 97-85=12, Resulting Numbers: [49, 24, 12]
Generated Node #0,1: 51:[49, 24, 12] Operation: 97-85=12
Exploring Operation: 85-24=61, Resulting Numbers: [49, 97, 61]
Generated Node #0,2: 51:[49, 97, 61] Operation: 85-24=61
Exploring Operation: 85-49=36, Resulting Numbers: [24, 97, 36]
Generated Node #0,3: 51:[24, 97, 36] Operation: 85-49=36
Exploring Operation: 97-49=48, Resulting Numbers: [85, 24, 48]
Generated Node #0,4: 51:[85, 24, 48] Operation: 97-49=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[49, 24, 12], Operations: ['97-85=12']
Exploring Operation: 49+12=61, Resulting Numbers: [24, 61]
Generated Node #0,1,0: 51:[24, 61] Operation: 49+12=61
Exploring Operation: 49-24=25, Resulting Numbers: [12, 25]
Generated Node #0,1,1: 51:[12, 25] Operation: 49-24=25
Exploring Operation: 24-12=12, Resulting Numbers: [49, 12]
Generated Node #0,1,2: 51:[49, 12] Operation: 24-12=12
Exploring Operation: 24/12=2, Resulting Numbers: [49, 2]
Generated Node #0,1,3: 51:[49, 2] Operation: 24/12=2
Exploring Operation: 24+12=36, Resulting Numbers: [49, 36]
Generated Node #0,1,4: 51:[49, 36] Operation: 24+12=36
Moving to Node #0,1,3
Current State: 51:[49, 2], Operations: ['97-85=12', '24/12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[85, 49, 24, 97], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [49, 24, 12]
Generated Node #0,1: 51:[49, 24, 12] Operation: 97-85=12
Moving to Node #0,1
Current State: 51:[49, 24, 12], Operations: ['97-85=12']
Exploring Operation: 24/12=2, Resulting Numbers: [49, 2]
Generated Node #0,1,3: 51:[49, 2] Operation: 24/12=2
Moving to Node #0,1,3
Current State: 51:[49, 2], Operations: ['97-85=12', '24/12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
59,
8,
89,
7
] | 31 | [
"59-8=51",
"89-7=82",
"82-51=31"
] | Current State: 31:[59, 8, 89, 7], Operations: []
Exploring Operation: 59-8=51, Resulting Numbers: [89, 7, 51]
Generated Node #2: [89, 7, 51] from Operation: 59-8=51
Current State: 31:[89, 7, 51], Operations: ['59-8=51']
Exploring Operation: 89-7=82, Resulting Numbers: [51, 82]
Generated Node #3: [51, 82] from Operation: 89-7=82
Current State: 31:[51, 82], Operations: ['59-8=51', '89-7=82']
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[59, 8, 89, 7], Operations: []
Exploring Operation: 89-59=30, Resulting Numbers: [8, 7, 30]
Generated Node #0,0: 31:[8, 7, 30] Operation: 89-59=30
Exploring Operation: 59-8=51, Resulting Numbers: [89, 7, 51]
Generated Node #0,1: 31:[89, 7, 51] Operation: 59-8=51
Exploring Operation: 59-7=52, Resulting Numbers: [8, 89, 52]
Generated Node #0,2: 31:[8, 89, 52] Operation: 59-7=52
Exploring Operation: 89-8=81, Resulting Numbers: [59, 7, 81]
Generated Node #0,3: 31:[59, 7, 81] Operation: 89-8=81
Moving to Node #0,0
Current State: 31:[8, 7, 30], Operations: ['89-59=30']
Exploring Operation: 8*7=56, Resulting Numbers: [30, 56]
Generated Node #0,0,0: 31:[30, 56] Operation: 8*7=56
Exploring Operation: 7+30=37, Resulting Numbers: [8, 37]
Generated Node #0,0,1: 31:[8, 37] Operation: 7+30=37
Exploring Operation: 8-7=1, Resulting Numbers: [30, 1]
Generated Node #0,0,2: 31:[30, 1] Operation: 8-7=1
Exploring Operation: 8+7=15, Resulting Numbers: [30, 15]
Generated Node #0,0,3: 31:[30, 15] Operation: 8+7=15
Moving to Node #0,2
Current State: 31:[8, 89, 52], Operations: ['59-7=52']
Exploring Operation: 8+89=97, Resulting Numbers: [52, 97]
Generated Node #0,2,0: 31:[52, 97] Operation: 8+89=97
Exploring Operation: 89-8=81, Resulting Numbers: [52, 81]
Generated Node #0,2,1: 31:[52, 81] Operation: 89-8=81
Exploring Operation: 89-52=37, Resulting Numbers: [8, 37]
Generated Node #0,2,2: 31:[8, 37] Operation: 89-52=37
Exploring Operation: 52-8=44, Resulting Numbers: [89, 44]
Generated Node #0,2,3: 31:[89, 44] Operation: 52-8=44
Moving to Node #0,1
Current State: 31:[89, 7, 51], Operations: ['59-8=51']
Exploring Operation: 89-7=82, Resulting Numbers: [51, 82]
Generated Node #0,1,0: 31:[51, 82] Operation: 89-7=82
Exploring Operation: 51-7=44, Resulting Numbers: [89, 44]
Generated Node #0,1,1: 31:[89, 44] Operation: 51-7=44
Exploring Operation: 89-51=38, Resulting Numbers: [7, 38]
Generated Node #0,1,2: 31:[7, 38] Operation: 89-51=38
Exploring Operation: 89+7=96, Resulting Numbers: [51, 96]
Generated Node #0,1,3: 31:[51, 96] Operation: 89+7=96
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[7, 38], Operations: ['59-8=51', '89-51=38']
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,31 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[59, 8, 89, 7], Operations: []
Exploring Operation: 59-8=51, Resulting Numbers: [89, 7, 51]
Generated Node #0,1: 31:[89, 7, 51] Operation: 59-8=51
Moving to Node #0,1
Current State: 31:[89, 7, 51], Operations: ['59-8=51']
Exploring Operation: 89-51=38, Resulting Numbers: [7, 38]
Generated Node #0,1,2: 31:[7, 38] Operation: 89-51=38
Moving to Node #0,1,2
Current State: 31:[7, 38], Operations: ['59-8=51', '89-51=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
44,
4,
14,
69
] | 85 | [
"44/4=11",
"14*11=154",
"154-69=85"
] | Current State: 85:[44, 4, 14, 69], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [14, 69, 11]
Generated Node #2: [14, 69, 11] from Operation: 44/4=11
Current State: 85:[14, 69, 11], Operations: ['44/4=11']
Exploring Operation: 14*11=154, Resulting Numbers: [69, 154]
Generated Node #3: [69, 154] from Operation: 14*11=154
Current State: 85:[69, 154], Operations: ['44/4=11', '14*11=154']
Exploring Operation: 154-69=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[44, 4, 14, 69], Operations: []
Exploring Operation: 14+69=83, Resulting Numbers: [44, 4, 83]
Generated Node #0,0: 85:[44, 4, 83] Operation: 14+69=83
Exploring Operation: 69-44=25, Resulting Numbers: [4, 14, 25]
Generated Node #0,1: 85:[4, 14, 25] Operation: 69-44=25
Exploring Operation: 44/4=11, Resulting Numbers: [14, 69, 11]
Generated Node #0,2: 85:[14, 69, 11] Operation: 44/4=11
Exploring Operation: 44-14=30, Resulting Numbers: [4, 69, 30]
Generated Node #0,3: 85:[4, 69, 30] Operation: 44-14=30
Moving to Node #0,1
Current State: 85:[4, 14, 25], Operations: ['69-44=25']
Exploring Operation: 14-4=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 85:[25, 10] Operation: 14-4=10
Exploring Operation: 25-4=21, Resulting Numbers: [14, 21]
Generated Node #0,1,1: 85:[14, 21] Operation: 25-4=21
Exploring Operation: 25-14=11, Resulting Numbers: [4, 11]
Generated Node #0,1,2: 85:[4, 11] Operation: 25-14=11
Exploring Operation: 4+14=18, Resulting Numbers: [25, 18]
Generated Node #0,1,3: 85:[25, 18] Operation: 4+14=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[14, 21], Operations: ['69-44=25', '25-4=21']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,85 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:[4, 11], Operations: ['69-44=25', '25-14=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,85 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,85 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 #0,1,3
Current State: 85:[25, 18], Operations: ['69-44=25', '4+14=18']
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,85 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,85 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:[25, 10], Operations: ['69-44=25', '14-4=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,85 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,85 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:[14, 69, 11], Operations: ['44/4=11']
Exploring Operation: 14+69=83, Resulting Numbers: [11, 83]
Generated Node #0,2,0: 85:[11, 83] Operation: 14+69=83
Exploring Operation: 14+11=25, Resulting Numbers: [69, 25]
Generated Node #0,2,1: 85:[69, 25] Operation: 14+11=25
Exploring Operation: 14-11=3, Resulting Numbers: [69, 3]
Generated Node #0,2,2: 85:[69, 3] Operation: 14-11=3
Exploring Operation: 69+11=80, Resulting Numbers: [14, 80]
Generated Node #0,2,3: 85:[14, 80] Operation: 69+11=80
Moving to Node #0,3
Current State: 85:[4, 69, 30], Operations: ['44-14=30']
Exploring Operation: 30-4=26, Resulting Numbers: [69, 26]
Generated Node #0,3,0: 85:[69, 26] Operation: 30-4=26
Exploring Operation: 69+30=99, Resulting Numbers: [4, 99]
Generated Node #0,3,1: 85:[4, 99] Operation: 69+30=99
Exploring Operation: 4+69=73, Resulting Numbers: [30, 73]
Generated Node #0,3,2: 85:[30, 73] Operation: 4+69=73
Exploring Operation: 69-30=39, Resulting Numbers: [4, 39]
Generated Node #0,3,3: 85:[4, 39] Operation: 69-30=39
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 85:[4, 99], Operations: ['44-14=30', '69+30=99']
Exploring Operation: 4*99=396, Resulting Numbers: [396]
396,85 unequal: No Solution
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 4+99=103, Resulting Numbers: [103]
103,85 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 #0,3,3
Current State: 85:[4, 39], Operations: ['44-14=30', '69-30=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,85 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,85 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 #0,3,0
Current State: 85:[69, 26], Operations: ['44-14=30', '30-4=26']
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,85 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,85 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,85 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 #0,3,2
Current State: 85:[30, 73], Operations: ['44-14=30', '4+69=73']
Exploring Operation: 30*73=2190, Resulting Numbers: [2190]
2190,85 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,85 unequal: No Solution
Exploring Operation: 30+73=103, Resulting Numbers: [103]
103,85 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: 85:[44, 4, 83], Operations: ['14+69=83']
Exploring Operation: 83-44=39, Resulting Numbers: [4, 39]
Generated Node #0,0,0: 85:[4, 39] Operation: 83-44=39
Exploring Operation: 44-4=40, Resulting Numbers: [83, 40]
Generated Node #0,0,1: 85:[83, 40] Operation: 44-4=40
Exploring Operation: 4+83=87, Resulting Numbers: [44, 87]
Generated Node #0,0,2: 85:[44, 87] Operation: 4+83=87
Exploring Operation: 44/4=11, Resulting Numbers: [83, 11]
Generated Node #0,0,3: 85:[83, 11] Operation: 44/4=11
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 85:[83, 11], Operations: ['14+69=83', '44/4=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,85 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,85 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 #0,0,0
Current State: 85:[4, 39], Operations: ['14+69=83', '83-44=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,85 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,85 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,85 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:[83, 40], Operations: ['14+69=83', '44-4=40']
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,85 unequal: No Solution
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,85 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,85 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:[44, 87], Operations: ['14+69=83', '4+83=87']
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,85 unequal: No Solution
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,85 unequal: No Solution
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 85:[11, 83], Operations: ['44/4=11', '14+69=83']
Exploring Operation: 11*83=913, Resulting Numbers: [913]
913,85 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Exploring Operation: 11+83=94, Resulting Numbers: [94]
94,85 unequal: No Solution
Moving to Node #0,2,3
Current State: 85:[14, 80], Operations: ['44/4=11', '69+11=80']
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,85 unequal: No Solution
Exploring Operation: 14*80=1120, Resulting Numbers: [1120]
1120,85 unequal: No Solution
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[69, 3], Operations: ['44/4=11', '14-11=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,85 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[69, 25], Operations: ['44/4=11', '14+11=25']
Exploring Operation: 69+25=94, Resulting Numbers: [94]
94,85 unequal: No Solution
Exploring Operation: 69*25=1725, Resulting Numbers: [1725]
1725,85 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,85 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
18,
27,
57,
45
] | 12 | [
"57-27=30",
"18*30=540",
"540/45=12"
] | Current State: 12:[18, 27, 57, 45], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [18, 45, 30]
Generated Node #2: [18, 45, 30] from Operation: 57-27=30
Current State: 12:[18, 45, 30], Operations: ['57-27=30']
Exploring Operation: 18*30=540, Resulting Numbers: [45, 540]
Generated Node #3: [45, 540] from Operation: 18*30=540
Current State: 12:[45, 540], Operations: ['57-27=30', '18*30=540']
Exploring Operation: 540/45=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[18, 27, 57, 45], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [18, 45, 30]
Generated Node #0,0: 12:[18, 45, 30] Operation: 57-27=30
Exploring Operation: 57-45=12, Resulting Numbers: [18, 27, 12]
Generated Node #0,1: 12:[18, 27, 12] Operation: 57-45=12
Exploring Operation: 57-18=39, Resulting Numbers: [27, 45, 39]
Generated Node #0,2: 12:[27, 45, 39] Operation: 57-18=39
Exploring Operation: 45-27=18, Resulting Numbers: [18, 57, 18]
Generated Node #0,3: 12:[18, 57, 18] Operation: 45-27=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[18, 27, 12], Operations: ['57-45=12']
Exploring Operation: 27-12=15, Resulting Numbers: [18, 15]
Generated Node #0,1,0: 12:[18, 15] Operation: 27-12=15
Exploring Operation: 27-18=9, Resulting Numbers: [12, 9]
Generated Node #0,1,1: 12:[12, 9] Operation: 27-18=9
Exploring Operation: 18+27=45, Resulting Numbers: [12, 45]
Generated Node #0,1,2: 12:[12, 45] Operation: 18+27=45
Exploring Operation: 18-12=6, Resulting Numbers: [27, 6]
Generated Node #0,1,3: 12:[27, 6] Operation: 18-12=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[12, 9], Operations: ['57-45=12', '27-18=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[18, 15], Operations: ['57-45=12', '27-12=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,12 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 12:[27, 6], Operations: ['57-45=12', '18-12=6']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,12 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 12:[12, 45], Operations: ['57-45=12', '18+27=45']
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,12 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[18, 45, 30], Operations: ['57-27=30']
Exploring Operation: 30-18=12, Resulting Numbers: [45, 12]
Generated Node #0,0,0: 12:[45, 12] Operation: 30-18=12
Exploring Operation: 45-18=27, Resulting Numbers: [30, 27]
Generated Node #0,0,1: 12:[30, 27] Operation: 45-18=27
Exploring Operation: 18+45=63, Resulting Numbers: [30, 63]
Generated Node #0,0,2: 12:[30, 63] Operation: 18+45=63
Exploring Operation: 45-30=15, Resulting Numbers: [18, 15]
Generated Node #0,0,3: 12:[18, 15] Operation: 45-30=15
Moving to Node #0,0,3
Current State: 12:[18, 15], Operations: ['57-27=30', '45-30=15']
Exploring Operation: 18+15=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 18*15=270, Resulting Numbers: [270]
270,12 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[30, 27], Operations: ['57-27=30', '45-18=27']
Exploring Operation: 30*27=810, Resulting Numbers: [810]
810,12 unequal: No Solution
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[45, 12], Operations: ['57-27=30', '30-18=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,12 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[30, 63], Operations: ['57-27=30', '18+45=63']
Exploring Operation: 30*63=1890, Resulting Numbers: [1890]
1890,12 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 30+63=93, Resulting Numbers: [93]
93,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[18, 57, 18], Operations: ['45-27=18']
Exploring Operation: 57-18=39, Resulting Numbers: [18, 39]
Generated Node #0,3,0: 12:[18, 39] Operation: 57-18=39
Exploring Operation: 18-18=0, Resulting Numbers: [57, 0]
Generated Node #0,3,1: 12:[57, 0] Operation: 18-18=0
Exploring Operation: 18/18=1, Resulting Numbers: [57, 1]
Generated Node #0,3,2: 12:[57, 1] Operation: 18/18=1
Exploring Operation: 57-18=39, Resulting Numbers: [18, 39]
Generated Node #0,3,3: 12:[18, 39] Operation: 57-18=39
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 12:[18, 39], Operations: ['45-27=18', '57-18=39']
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 12:[18, 39], Operations: ['45-27=18', '57-18=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,12 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 12:[57, 1], Operations: ['45-27=18', '18/18=1']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,12 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 12:[57, 0], Operations: ['45-27=18', '18-18=0']
Exploring Operation: 57+0=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 57-0=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 57*0=0, Resulting Numbers: [0]
0,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[27, 45, 39], Operations: ['57-18=39']
Exploring Operation: 27+45=72, Resulting Numbers: [39, 72]
Generated Node #0,2,0: 12:[39, 72] Operation: 27+45=72
Exploring Operation: 45-27=18, Resulting Numbers: [39, 18]
Generated Node #0,2,1: 12:[39, 18] Operation: 45-27=18
Exploring Operation: 39-27=12, Resulting Numbers: [45, 12]
Generated Node #0,2,2: 12:[45, 12] Operation: 39-27=12
Exploring Operation: 45-39=6, Resulting Numbers: [27, 6]
Generated Node #0,2,3: 12:[27, 6] Operation: 45-39=6
Moving to Node #0,2,3
Current State: 12:[27, 6], Operations: ['57-18=39', '45-39=6']
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,12 unequal: No Solution
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[45, 12], Operations: ['57-18=39', '39-27=12']
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,12 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[39, 18], Operations: ['57-18=39', '45-27=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,12 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[39, 72], Operations: ['57-18=39', '27+45=72']
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 39+72=111, Resulting Numbers: [111]
111,12 unequal: No Solution
Exploring Operation: 39*72=2808, Resulting Numbers: [2808]
2808,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
86,
56,
35,
62
] | 15 | [
"86-62=24",
"35*24=840",
"840/56=15"
] | Current State: 15:[86, 56, 35, 62], Operations: []
Exploring Operation: 86-62=24, Resulting Numbers: [56, 35, 24]
Generated Node #2: [56, 35, 24] from Operation: 86-62=24
Current State: 15:[56, 35, 24], Operations: ['86-62=24']
Exploring Operation: 35*24=840, Resulting Numbers: [56, 840]
Generated Node #3: [56, 840] from Operation: 35*24=840
Current State: 15:[56, 840], Operations: ['86-62=24', '35*24=840']
Exploring Operation: 840/56=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[86, 56, 35, 62], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [86, 35, 6]
Generated Node #0,0: 15:[86, 35, 6] Operation: 62-56=6
Exploring Operation: 86-62=24, Resulting Numbers: [56, 35, 24]
Generated Node #0,1: 15:[56, 35, 24] Operation: 86-62=24
Exploring Operation: 86-56=30, Resulting Numbers: [35, 62, 30]
Generated Node #0,2: 15:[35, 62, 30] Operation: 86-56=30
Exploring Operation: 86-35=51, Resulting Numbers: [56, 62, 51]
Generated Node #0,3: 15:[56, 62, 51] Operation: 86-35=51
Moving to Node #0,1
Current State: 15:[56, 35, 24], Operations: ['86-62=24']
Exploring Operation: 35-24=11, Resulting Numbers: [56, 11]
Generated Node #0,1,0: 15:[56, 11] Operation: 35-24=11
Exploring Operation: 56-35=21, Resulting Numbers: [24, 21]
Generated Node #0,1,1: 15:[24, 21] Operation: 56-35=21
Exploring Operation: 56+35=91, Resulting Numbers: [24, 91]
Generated Node #0,1,2: 15:[24, 91] Operation: 56+35=91
Exploring Operation: 56-24=32, Resulting Numbers: [35, 32]
Generated Node #0,1,3: 15:[35, 32] Operation: 56-24=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[24, 21], Operations: ['86-62=24', '56-35=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,15 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[35, 32], Operations: ['86-62=24', '56-24=32']
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,15 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[56, 11], Operations: ['86-62=24', '35-24=11']
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[24, 91], Operations: ['86-62=24', '56+35=91']
Exploring Operation: 24+91=115, Resulting Numbers: [115]
115,15 unequal: No Solution
Exploring Operation: 91-24=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 24*91=2184, Resulting Numbers: [2184]
2184,15 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: 15:[35, 62, 30], Operations: ['86-56=30']
Exploring Operation: 62-35=27, Resulting Numbers: [30, 27]
Generated Node #0,2,0: 15:[30, 27] Operation: 62-35=27
Exploring Operation: 35+62=97, Resulting Numbers: [30, 97]
Generated Node #0,2,1: 15:[30, 97] Operation: 35+62=97
Exploring Operation: 62-30=32, Resulting Numbers: [35, 32]
Generated Node #0,2,2: 15:[35, 32] Operation: 62-30=32
Exploring Operation: 35-30=5, Resulting Numbers: [62, 5]
Generated Node #0,2,3: 15:[62, 5] Operation: 35-30=5
Moving to Node #0,0
Current State: 15:[86, 35, 6], Operations: ['62-56=6']
Exploring Operation: 86+6=92, Resulting Numbers: [35, 92]
Generated Node #0,0,0: 15:[35, 92] Operation: 86+6=92
Exploring Operation: 86-6=80, Resulting Numbers: [35, 80]
Generated Node #0,0,1: 15:[35, 80] Operation: 86-6=80
Exploring Operation: 86-35=51, Resulting Numbers: [6, 51]
Generated Node #0,0,2: 15:[6, 51] Operation: 86-35=51
Exploring Operation: 35-6=29, Resulting Numbers: [86, 29]
Generated Node #0,0,3: 15:[86, 29] Operation: 35-6=29
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[6, 51], Operations: ['62-56=6', '86-35=51']
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,15 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[35, 80], Operations: ['62-56=6', '86-6=80']
Exploring Operation: 35*80=2800, Resulting Numbers: [2800]
2800,15 unequal: No Solution
Exploring Operation: 35+80=115, Resulting Numbers: [115]
115,15 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[86, 29], Operations: ['62-56=6', '35-6=29']
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,15 unequal: No Solution
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[35, 92], Operations: ['62-56=6', '86+6=92']
Exploring Operation: 35*92=3220, Resulting Numbers: [3220]
3220,15 unequal: No Solution
Exploring Operation: 35+92=127, Resulting Numbers: [127]
127,15 unequal: No Solution
Exploring Operation: 92-35=57, Resulting Numbers: [57]
57,15 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: 15:[56, 62, 51], Operations: ['86-35=51']
Exploring Operation: 62-56=6, Resulting Numbers: [51, 6]
Generated Node #0,3,0: 15:[51, 6] Operation: 62-56=6
Exploring Operation: 56+62=118, Resulting Numbers: [51, 118]
Generated Node #0,3,1: 15:[51, 118] Operation: 56+62=118
Exploring Operation: 62-51=11, Resulting Numbers: [56, 11]
Generated Node #0,3,2: 15:[56, 11] Operation: 62-51=11
Exploring Operation: 56-51=5, Resulting Numbers: [62, 5]
Generated Node #0,3,3: 15:[62, 5] Operation: 56-51=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[51, 6], Operations: ['86-35=51', '62-56=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[56, 11], Operations: ['86-35=51', '62-51=11']
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[62, 5], Operations: ['86-35=51', '56-51=5']
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 62*5=310, Resulting Numbers: [310]
310,15 unequal: No Solution
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[51, 118], Operations: ['86-35=51', '56+62=118']
Exploring Operation: 51*118=6018, Resulting Numbers: [6018]
6018,15 unequal: No Solution
Exploring Operation: 118-51=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 51+118=169, Resulting Numbers: [169]
169,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 15:[30, 27], Operations: ['86-56=30', '62-35=27']
Exploring Operation: 30+27=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 30*27=810, Resulting Numbers: [810]
810,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[35, 32], Operations: ['86-56=30', '62-30=32']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,15 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[62, 5], Operations: ['86-56=30', '35-30=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 62-5=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 62*5=310, Resulting Numbers: [310]
310,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[30, 97], Operations: ['86-56=30', '35+62=97']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,15 unequal: No Solution
Exploring Operation: 30*97=2910, Resulting Numbers: [2910]
2910,15 unequal: No Solution
Exploring Operation: 30+97=127, Resulting Numbers: [127]
127,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
23,
21,
84,
59
] | 17 | [
"23-21=2",
"84/2=42",
"59-42=17"
] | Current State: 17:[23, 21, 84, 59], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [84, 59, 2]
Generated Node #2: [84, 59, 2] from Operation: 23-21=2
Current State: 17:[84, 59, 2], Operations: ['23-21=2']
Exploring Operation: 84/2=42, Resulting Numbers: [59, 42]
Generated Node #3: [59, 42] from Operation: 84/2=42
Current State: 17:[59, 42], Operations: ['23-21=2', '84/2=42']
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[23, 21, 84, 59], Operations: []
Exploring Operation: 84-23=61, Resulting Numbers: [21, 59, 61]
Generated Node #0,0: 17:[21, 59, 61] Operation: 84-23=61
Exploring Operation: 59-23=36, Resulting Numbers: [21, 84, 36]
Generated Node #0,1: 17:[21, 84, 36] Operation: 59-23=36
Exploring Operation: 84-21=63, Resulting Numbers: [23, 59, 63]
Generated Node #0,2: 17:[23, 59, 63] Operation: 84-21=63
Exploring Operation: 84/21=4, Resulting Numbers: [23, 59, 4]
Generated Node #0,3: 17:[23, 59, 4] Operation: 84/21=4
Exploring Operation: 84-59=25, Resulting Numbers: [23, 21, 25]
Generated Node #0,4: 17:[23, 21, 25] Operation: 84-59=25
Moving to Node #0,4
Current State: 17:[23, 21, 25], Operations: ['84-59=25']
Exploring Operation: 23+25=48, Resulting Numbers: [21, 48]
Generated Node #0,4,0: 17:[21, 48] Operation: 23+25=48
Exploring Operation: 25-23=2, Resulting Numbers: [21, 2]
Generated Node #0,4,1: 17:[21, 2] Operation: 25-23=2
Exploring Operation: 23+21=44, Resulting Numbers: [25, 44]
Generated Node #0,4,2: 17:[25, 44] Operation: 23+21=44
Exploring Operation: 25-21=4, Resulting Numbers: [23, 4]
Generated Node #0,4,3: 17:[23, 4] Operation: 25-21=4
Exploring Operation: 23-21=2, Resulting Numbers: [25, 2]
Generated Node #0,4,4: 17:[25, 2] Operation: 23-21=2
Moving to Node #0,3
Current State: 17:[23, 59, 4], Operations: ['84/21=4']
Exploring Operation: 59-23=36, Resulting Numbers: [4, 36]
Generated Node #0,3,0: 17:[4, 36] Operation: 59-23=36
Exploring Operation: 23+4=27, Resulting Numbers: [59, 27]
Generated Node #0,3,1: 17:[59, 27] Operation: 23+4=27
Exploring Operation: 59-4=55, Resulting Numbers: [23, 55]
Generated Node #0,3,2: 17:[23, 55] Operation: 59-4=55
Exploring Operation: 59+4=63, Resulting Numbers: [23, 63]
Generated Node #0,3,3: 17:[23, 63] Operation: 59+4=63
Exploring Operation: 23-4=19, Resulting Numbers: [59, 19]
Generated Node #0,3,4: 17:[59, 19] Operation: 23-4=19
Moving to Node #0,0
Current State: 17:[21, 59, 61], Operations: ['84-23=61']
Exploring Operation: 61-21=40, Resulting Numbers: [59, 40]
Generated Node #0,0,0: 17:[59, 40] Operation: 61-21=40
Exploring Operation: 59-21=38, Resulting Numbers: [61, 38]
Generated Node #0,0,1: 17:[61, 38] Operation: 59-21=38
Exploring Operation: 21+61=82, Resulting Numbers: [59, 82]
Generated Node #0,0,2: 17:[59, 82] Operation: 21+61=82
Exploring Operation: 21+59=80, Resulting Numbers: [61, 80]
Generated Node #0,0,3: 17:[61, 80] Operation: 21+59=80
Exploring Operation: 61-59=2, Resulting Numbers: [21, 2]
Generated Node #0,0,4: 17:[21, 2] Operation: 61-59=2
Moving to Node #0,1
Current State: 17:[21, 84, 36], Operations: ['59-23=36']
Exploring Operation: 36-21=15, Resulting Numbers: [84, 15]
Generated Node #0,1,0: 17:[84, 15] Operation: 36-21=15
Exploring Operation: 84/21=4, Resulting Numbers: [36, 4]
Generated Node #0,1,1: 17:[36, 4] Operation: 84/21=4
Exploring Operation: 84-36=48, Resulting Numbers: [21, 48]
Generated Node #0,1,2: 17:[21, 48] Operation: 84-36=48
Exploring Operation: 84-21=63, Resulting Numbers: [36, 63]
Generated Node #0,1,3: 17:[36, 63] Operation: 84-21=63
Exploring Operation: 21+84=105, Resulting Numbers: [36, 105]
Generated Node #0,1,4: 17:[36, 105] Operation: 21+84=105
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[36, 4], Operations: ['59-23=36', '84/21=4']
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,17 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[21, 48], Operations: ['59-23=36', '84-36=48']
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,17 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[36, 63], Operations: ['59-23=36', '84-21=63']
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Exploring Operation: 36*63=2268, Resulting Numbers: [2268]
2268,17 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[84, 15], Operations: ['59-23=36', '36-21=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,17 unequal: No Solution
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,17 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 17:[36, 105], Operations: ['59-23=36', '21+84=105']
Exploring Operation: 36*105=3780, Resulting Numbers: [3780]
3780,17 unequal: No Solution
Exploring Operation: 36+105=141, Resulting Numbers: [141]
141,17 unequal: No Solution
Exploring Operation: 105-36=69, Resulting Numbers: [69]
69,17 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: 17:[23, 59, 63], Operations: ['84-21=63']
Exploring Operation: 59-23=36, Resulting Numbers: [63, 36]
Generated Node #0,2,0: 17:[63, 36] Operation: 59-23=36
Exploring Operation: 23+63=86, Resulting Numbers: [59, 86]
Generated Node #0,2,1: 17:[59, 86] Operation: 23+63=86
Exploring Operation: 23+59=82, Resulting Numbers: [63, 82]
Generated Node #0,2,2: 17:[63, 82] Operation: 23+59=82
Exploring Operation: 63-23=40, Resulting Numbers: [59, 40]
Generated Node #0,2,3: 17:[59, 40] Operation: 63-23=40
Exploring Operation: 63-59=4, Resulting Numbers: [23, 4]
Generated Node #0,2,4: 17:[23, 4] Operation: 63-59=4
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 17:[23, 4], Operations: ['84-21=63', '63-59=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[63, 36], Operations: ['84-21=63', '59-23=36']
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 63*36=2268, Resulting Numbers: [2268]
2268,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[59, 40], Operations: ['84-21=63', '63-23=40']
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,17 unequal: No Solution
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 17:[59, 86], Operations: ['84-21=63', '23+63=86']
Exploring Operation: 59+86=145, Resulting Numbers: [145]
145,17 unequal: No Solution
Exploring Operation: 59*86=5074, Resulting Numbers: [5074]
5074,17 unequal: No Solution
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[63, 82], Operations: ['84-21=63', '23+59=82']
Exploring Operation: 63*82=5166, Resulting Numbers: [5166]
5166,17 unequal: No Solution
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 63+82=145, Resulting Numbers: [145]
145,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 17:[21, 2], Operations: ['84-59=25', '25-23=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[23, 4], Operations: ['84-59=25', '25-21=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,17 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Moving to Node #0,0,4
Current State: 17:[21, 2], Operations: ['84-23=61', '61-59=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,17 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Moving to Node #0,4,4
Current State: 17:[25, 2], Operations: ['84-59=25', '23-21=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,17 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[4, 36], Operations: ['84/21=4', '59-23=36']
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,17 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[25, 44], Operations: ['84-59=25', '23+21=44']
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 25+44=69, Resulting Numbers: [69]
69,17 unequal: No Solution
Exploring Operation: 25*44=1100, Resulting Numbers: [1100]
1100,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[21, 48], Operations: ['84-59=25', '23+25=48']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,17 unequal: No Solution
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,17 unequal: No Solution
Moving to Node #0,3,2
Current State: 17:[23, 55], Operations: ['84/21=4', '59-4=55']
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 23*55=1265, Resulting Numbers: [1265]
1265,17 unequal: No Solution
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Moving to Node #0,3,4
Current State: 17:[59, 19], Operations: ['84/21=4', '23-4=19']
Exploring Operation: 59+19=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 59*19=1121, Resulting Numbers: [1121]
1121,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[23, 63], Operations: ['84/21=4', '59+4=63']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,17 unequal: No Solution
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,17 unequal: No Solution
Moving to Node #0,3,1
Current State: 17:[59, 27], Operations: ['84/21=4', '23+4=27']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 59+27=86, Resulting Numbers: [86]
86,17 unequal: No Solution
Exploring Operation: 59*27=1593, Resulting Numbers: [1593]
1593,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[61, 38], Operations: ['84-23=61', '59-21=38']
Exploring Operation: 61*38=2318, Resulting Numbers: [2318]
2318,17 unequal: No Solution
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[59, 40], Operations: ['84-23=61', '61-21=40']
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 59*40=2360, Resulting Numbers: [2360]
2360,17 unequal: No Solution
Exploring Operation: 59+40=99, Resulting Numbers: [99]
99,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[59, 82], Operations: ['84-23=61', '21+61=82']
Exploring Operation: 59*82=4838, Resulting Numbers: [4838]
4838,17 unequal: No Solution
Exploring Operation: 59+82=141, Resulting Numbers: [141]
141,17 unequal: No Solution
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[61, 80], Operations: ['84-23=61', '21+59=80']
Exploring Operation: 61*80=4880, Resulting Numbers: [4880]
4880,17 unequal: No Solution
Exploring Operation: 61+80=141, Resulting Numbers: [141]
141,17 unequal: No Solution
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,17 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
44,
19,
28,
76
] | 39 | [
"44*19=836",
"836/76=11",
"28+11=39"
] | Current State: 39:[44, 19, 28, 76], Operations: []
Exploring Operation: 44*19=836, Resulting Numbers: [28, 76, 836]
Generated Node #2: [28, 76, 836] from Operation: 44*19=836
Current State: 39:[28, 76, 836], Operations: ['44*19=836']
Exploring Operation: 836/76=11, Resulting Numbers: [28, 11]
Generated Node #3: [28, 11] from Operation: 836/76=11
Current State: 39:[28, 11], Operations: ['44*19=836', '836/76=11']
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[44, 19, 28, 76], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [44, 28, 4]
Generated Node #0,0: 39:[44, 28, 4] Operation: 76/19=4
Exploring Operation: 76-28=48, Resulting Numbers: [44, 19, 48]
Generated Node #0,1: 39:[44, 19, 48] Operation: 76-28=48
Exploring Operation: 76-44=32, Resulting Numbers: [19, 28, 32]
Generated Node #0,2: 39:[19, 28, 32] Operation: 76-44=32
Moving to Node #0,0
Current State: 39:[44, 28, 4], Operations: ['76/19=4']
Exploring Operation: 44-4=40, Resulting Numbers: [28, 40]
Generated Node #0,0,0: 39:[28, 40] Operation: 44-4=40
Exploring Operation: 44-28=16, Resulting Numbers: [4, 16]
Generated Node #0,0,1: 39:[4, 16] Operation: 44-28=16
Exploring Operation: 28/4=7, Resulting Numbers: [44, 7]
Generated Node #0,0,2: 39:[44, 7] Operation: 28/4=7
Moving to Node #0,1
Current State: 39:[44, 19, 48], Operations: ['76-28=48']
Exploring Operation: 48-19=29, Resulting Numbers: [44, 29]
Generated Node #0,1,0: 39:[44, 29] Operation: 48-19=29
Exploring Operation: 48-44=4, Resulting Numbers: [19, 4]
Generated Node #0,1,1: 39:[19, 4] Operation: 48-44=4
Exploring Operation: 44-19=25, Resulting Numbers: [48, 25]
Generated Node #0,1,2: 39:[48, 25] Operation: 44-19=25
Moving to Node #0,2
Current State: 39:[19, 28, 32], Operations: ['76-44=32']
Exploring Operation: 28-19=9, Resulting Numbers: [32, 9]
Generated Node #0,2,0: 39:[32, 9] Operation: 28-19=9
Exploring Operation: 32-28=4, Resulting Numbers: [19, 4]
Generated Node #0,2,1: 39:[19, 4] Operation: 32-28=4
Exploring Operation: 32-19=13, Resulting Numbers: [28, 13]
Generated Node #0,2,2: 39:[28, 13] Operation: 32-19=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[19, 4], Operations: ['76-44=32', '32-28=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[32, 9], Operations: ['76-44=32', '28-19=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,39 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[28, 13], Operations: ['76-44=32', '32-19=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,39 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 39:[4, 16], Operations: ['76/19=4', '44-28=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[19, 4], Operations: ['76-28=48', '48-44=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[44, 7], Operations: ['76/19=4', '28/4=7']
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,39 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[28, 40], Operations: ['76/19=4', '44-4=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,39 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,39 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[44, 29], Operations: ['76-28=48', '48-19=29']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 44+29=73, Resulting Numbers: [73]
73,39 unequal: No Solution
Exploring Operation: 44*29=1276, Resulting Numbers: [1276]
1276,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[48, 25], Operations: ['76-28=48', '44-19=25']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,39 unequal: No Solution
Exploring Operation: 48*25=1200, Resulting Numbers: [1200]
1200,39 unequal: No Solution
Exploring Operation: 48+25=73, Resulting Numbers: [73]
73,39 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
17,
53,
43
] | 98 | [
"53-17=36",
"43-36=7",
"14*7=98"
] | Current State: 98:[14, 17, 53, 43], Operations: []
Exploring Operation: 53-17=36, Resulting Numbers: [14, 43, 36]
Generated Node #2: [14, 43, 36] from Operation: 53-17=36
Current State: 98:[14, 43, 36], Operations: ['53-17=36']
Exploring Operation: 43-36=7, Resulting Numbers: [14, 7]
Generated Node #3: [14, 7] from Operation: 43-36=7
Current State: 98:[14, 7], Operations: ['53-17=36', '43-36=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[14, 17, 53, 43], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [14, 17, 10]
Generated Node #0,0: 98:[14, 17, 10] Operation: 53-43=10
Exploring Operation: 14+43=57, Resulting Numbers: [17, 53, 57]
Generated Node #0,1: 98:[17, 53, 57] Operation: 14+43=57
Exploring Operation: 17+43=60, Resulting Numbers: [14, 53, 60]
Generated Node #0,2: 98:[14, 53, 60] Operation: 17+43=60
Exploring Operation: 53+43=96, Resulting Numbers: [14, 17, 96]
Generated Node #0,3: 98:[14, 17, 96] Operation: 53+43=96
Exploring Operation: 17-14=3, Resulting Numbers: [53, 43, 3]
Generated Node #0,4: 98:[53, 43, 3] Operation: 17-14=3
Moving to Node #0,3
Current State: 98:[14, 17, 96], Operations: ['53+43=96']
Exploring Operation: 14+17=31, Resulting Numbers: [96, 31]
Generated Node #0,3,0: 98:[96, 31] Operation: 14+17=31
Exploring Operation: 17+96=113, Resulting Numbers: [14, 113]
Generated Node #0,3,1: 98:[14, 113] Operation: 17+96=113
Exploring Operation: 96-14=82, Resulting Numbers: [17, 82]
Generated Node #0,3,2: 98:[17, 82] Operation: 96-14=82
Exploring Operation: 14+96=110, Resulting Numbers: [17, 110]
Generated Node #0,3,3: 98:[17, 110] Operation: 14+96=110
Exploring Operation: 17-14=3, Resulting Numbers: [96, 3]
Generated Node #0,3,4: 98:[96, 3] Operation: 17-14=3
Moving to Node #0,0
Current State: 98:[14, 17, 10], Operations: ['53-43=10']
Exploring Operation: 14-10=4, Resulting Numbers: [17, 4]
Generated Node #0,0,0: 98:[17, 4] Operation: 14-10=4
Exploring Operation: 14+10=24, Resulting Numbers: [17, 24]
Generated Node #0,0,1: 98:[17, 24] Operation: 14+10=24
Exploring Operation: 17+10=27, Resulting Numbers: [14, 27]
Generated Node #0,0,2: 98:[14, 27] Operation: 17+10=27
Exploring Operation: 17-14=3, Resulting Numbers: [10, 3]
Generated Node #0,0,3: 98:[10, 3] Operation: 17-14=3
Exploring Operation: 17-10=7, Resulting Numbers: [14, 7]
Generated Node #0,0,4: 98:[14, 7] Operation: 17-10=7
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 98:[14, 7], Operations: ['53-43=10', '17-10=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,98 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[14, 17, 53, 43], Operations: []
Exploring Operation: 53-43=10, Resulting Numbers: [14, 17, 10]
Generated Node #0,0: 98:[14, 17, 10] Operation: 53-43=10
Moving to Node #0,0
Current State: 98:[14, 17, 10], Operations: ['53-43=10']
Exploring Operation: 17-10=7, Resulting Numbers: [14, 7]
Generated Node #0,0,4: 98:[14, 7] Operation: 17-10=7
Moving to Node #0,0,4
Current State: 98:[14, 7], Operations: ['53-43=10', '17-10=7']
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
96,
86,
15,
51
] | 26 | [
"96-86=10",
"51-15=36",
"36-10=26"
] | Current State: 26:[96, 86, 15, 51], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [15, 51, 10]
Generated Node #2: [15, 51, 10] from Operation: 96-86=10
Current State: 26:[15, 51, 10], Operations: ['96-86=10']
Exploring Operation: 51-15=36, Resulting Numbers: [10, 36]
Generated Node #3: [10, 36] from Operation: 51-15=36
Current State: 26:[10, 36], Operations: ['96-86=10', '51-15=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[96, 86, 15, 51], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [15, 51, 10]
Generated Node #0,0: 26:[15, 51, 10] Operation: 96-86=10
Exploring Operation: 86-51=35, Resulting Numbers: [96, 15, 35]
Generated Node #0,1: 26:[96, 15, 35] Operation: 86-51=35
Exploring Operation: 96-51=45, Resulting Numbers: [86, 15, 45]
Generated Node #0,2: 26:[86, 15, 45] Operation: 96-51=45
Moving to Node #0,0
Current State: 26:[15, 51, 10], Operations: ['96-86=10']
Exploring Operation: 51-15=36, Resulting Numbers: [10, 36]
Generated Node #0,0,0: 26:[10, 36] Operation: 51-15=36
Exploring Operation: 15+10=25, Resulting Numbers: [51, 25]
Generated Node #0,0,1: 26:[51, 25] Operation: 15+10=25
Exploring Operation: 51-10=41, Resulting Numbers: [15, 41]
Generated Node #0,0,2: 26:[15, 41] Operation: 51-10=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[10, 36], Operations: ['96-86=10', '51-15=36']
Exploring Operation: 10*36=360, Resulting Numbers: [360]
360,26 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[96, 86, 15, 51], Operations: []
Exploring Operation: 96-86=10, Resulting Numbers: [15, 51, 10]
Generated Node #0,0: 26:[15, 51, 10] Operation: 96-86=10
Moving to Node #0,0
Current State: 26:[15, 51, 10], Operations: ['96-86=10']
Exploring Operation: 51-15=36, Resulting Numbers: [10, 36]
Generated Node #0,0,0: 26:[10, 36] Operation: 51-15=36
Moving to Node #0,0,0
Current State: 26:[10, 36], Operations: ['96-86=10', '51-15=36']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
70,
63,
17,
5
] | 84 | [
"70-63=7",
"17-5=12",
"7*12=84"
] | Current State: 84:[70, 63, 17, 5], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [17, 5, 7]
Generated Node #2: [17, 5, 7] from Operation: 70-63=7
Current State: 84:[17, 5, 7], Operations: ['70-63=7']
Exploring Operation: 17-5=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 17-5=12
Current State: 84:[7, 12], Operations: ['70-63=7', '17-5=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[70, 63, 17, 5], Operations: []
Exploring Operation: 63+17=80, Resulting Numbers: [70, 5, 80]
Generated Node #0,0: 84:[70, 5, 80] Operation: 63+17=80
Exploring Operation: 70+17=87, Resulting Numbers: [63, 5, 87]
Generated Node #0,1: 84:[63, 5, 87] Operation: 70+17=87
Exploring Operation: 63-17=46, Resulting Numbers: [70, 5, 46]
Generated Node #0,2: 84:[70, 5, 46] Operation: 63-17=46
Exploring Operation: 70/5=14, Resulting Numbers: [63, 17, 14]
Generated Node #0,3: 84:[63, 17, 14] Operation: 70/5=14
Exploring Operation: 70-63=7, Resulting Numbers: [17, 5, 7]
Generated Node #0,4: 84:[17, 5, 7] Operation: 70-63=7
Moving to Node #0,4
Current State: 84:[17, 5, 7], Operations: ['70-63=7']
Exploring Operation: 5+7=12, Resulting Numbers: [17, 12]
Generated Node #0,4,0: 84:[17, 12] Operation: 5+7=12
Exploring Operation: 17+5=22, Resulting Numbers: [7, 22]
Generated Node #0,4,1: 84:[7, 22] Operation: 17+5=22
Exploring Operation: 17-5=12, Resulting Numbers: [7, 12]
Generated Node #0,4,2: 84:[7, 12] Operation: 17-5=12
Exploring Operation: 17*5=85, Resulting Numbers: [7, 85]
Generated Node #0,4,3: 84:[7, 85] Operation: 17*5=85
Exploring Operation: 17-7=10, Resulting Numbers: [5, 10]
Generated Node #0,4,4: 84:[5, 10] Operation: 17-7=10
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 84:[7, 12], Operations: ['70-63=7', '17-5=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[70, 63, 17, 5], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [17, 5, 7]
Generated Node #0,4: 84:[17, 5, 7] Operation: 70-63=7
Moving to Node #0,4
Current State: 84:[17, 5, 7], Operations: ['70-63=7']
Exploring Operation: 17-5=12, Resulting Numbers: [7, 12]
Generated Node #0,4,2: 84:[7, 12] Operation: 17-5=12
Moving to Node #0,4,2
Current State: 84:[7, 12], Operations: ['70-63=7', '17-5=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
63,
22,
2,
6
] | 29 | [
"63-22=41",
"2*6=12",
"41-12=29"
] | Current State: 29:[63, 22, 2, 6], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [2, 6, 41]
Generated Node #2: [2, 6, 41] from Operation: 63-22=41
Current State: 29:[2, 6, 41], Operations: ['63-22=41']
Exploring Operation: 2*6=12, Resulting Numbers: [41, 12]
Generated Node #3: [41, 12] from Operation: 2*6=12
Current State: 29:[41, 12], Operations: ['63-22=41', '2*6=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[63, 22, 2, 6], Operations: []
Exploring Operation: 63-2=61, Resulting Numbers: [22, 6, 61]
Generated Node #0,0: 29:[22, 6, 61] Operation: 63-2=61
Exploring Operation: 2*6=12, Resulting Numbers: [63, 22, 12]
Generated Node #0,1: 29:[63, 22, 12] Operation: 2*6=12
Exploring Operation: 63-22=41, Resulting Numbers: [2, 6, 41]
Generated Node #0,2: 29:[2, 6, 41] Operation: 63-22=41
Moving to Node #0,1
Current State: 29:[63, 22, 12], Operations: ['2*6=12']
Exploring Operation: 63-12=51, Resulting Numbers: [22, 51]
Generated Node #0,1,0: 29:[22, 51] Operation: 63-12=51
Exploring Operation: 63-22=41, Resulting Numbers: [12, 41]
Generated Node #0,1,1: 29:[12, 41] Operation: 63-22=41
Exploring Operation: 22+12=34, Resulting Numbers: [63, 34]
Generated Node #0,1,2: 29:[63, 34] Operation: 22+12=34
Moving to Node #0,0
Current State: 29:[22, 6, 61], Operations: ['63-2=61']
Exploring Operation: 61-22=39, Resulting Numbers: [6, 39]
Generated Node #0,0,0: 29:[6, 39] Operation: 61-22=39
Exploring Operation: 61-6=55, Resulting Numbers: [22, 55]
Generated Node #0,0,1: 29:[22, 55] Operation: 61-6=55
Exploring Operation: 22+6=28, Resulting Numbers: [61, 28]
Generated Node #0,0,2: 29:[61, 28] Operation: 22+6=28
Moving to Node #0,2
Current State: 29:[2, 6, 41], Operations: ['63-22=41']
Exploring Operation: 2*6=12, Resulting Numbers: [41, 12]
Generated Node #0,2,0: 29:[41, 12] Operation: 2*6=12
Exploring Operation: 2+6=8, Resulting Numbers: [41, 8]
Generated Node #0,2,1: 29:[41, 8] Operation: 2+6=8
Exploring Operation: 41-2=39, Resulting Numbers: [6, 39]
Generated Node #0,2,2: 29:[6, 39] Operation: 41-2=39
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[41, 12], Operations: ['63-22=41', '2*6=12']
Exploring Operation: 41*12=492, Resulting Numbers: [492]
492,29 unequal: No Solution
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[63, 22, 2, 6], Operations: []
Exploring Operation: 63-22=41, Resulting Numbers: [2, 6, 41]
Generated Node #0,2: 29:[2, 6, 41] Operation: 63-22=41
Moving to Node #0,2
Current State: 29:[2, 6, 41], Operations: ['63-22=41']
Exploring Operation: 2*6=12, Resulting Numbers: [41, 12]
Generated Node #0,2,0: 29:[41, 12] Operation: 2*6=12
Moving to Node #0,2,0
Current State: 29:[41, 12], Operations: ['63-22=41', '2*6=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
49,
22,
68,
59
] | 18 | [
"49-22=27",
"68-59=9",
"27-9=18"
] | Current State: 18:[49, 22, 68, 59], Operations: []
Exploring Operation: 49-22=27, Resulting Numbers: [68, 59, 27]
Generated Node #2: [68, 59, 27] from Operation: 49-22=27
Current State: 18:[68, 59, 27], Operations: ['49-22=27']
Exploring Operation: 68-59=9, Resulting Numbers: [27, 9]
Generated Node #3: [27, 9] from Operation: 68-59=9
Current State: 18:[27, 9], Operations: ['49-22=27', '68-59=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[49, 22, 68, 59], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [22, 59, 19]
Generated Node #0,0: 18:[22, 59, 19] Operation: 68-49=19
Exploring Operation: 59-49=10, Resulting Numbers: [22, 68, 10]
Generated Node #0,1: 18:[22, 68, 10] Operation: 59-49=10
Exploring Operation: 68-59=9, Resulting Numbers: [49, 22, 9]
Generated Node #0,2: 18:[49, 22, 9] Operation: 68-59=9
Moving to Node #0,2
Current State: 18:[49, 22, 9], Operations: ['68-59=9']
Exploring Operation: 49-9=40, Resulting Numbers: [22, 40]
Generated Node #0,2,0: 18:[22, 40] Operation: 49-9=40
Exploring Operation: 49-22=27, Resulting Numbers: [9, 27]
Generated Node #0,2,1: 18:[9, 27] Operation: 49-22=27
Exploring Operation: 22-9=13, Resulting Numbers: [49, 13]
Generated Node #0,2,2: 18:[49, 13] Operation: 22-9=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[9, 27], Operations: ['68-59=9', '49-22=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[49, 22, 68, 59], Operations: []
Exploring Operation: 68-59=9, Resulting Numbers: [49, 22, 9]
Generated Node #0,2: 18:[49, 22, 9] Operation: 68-59=9
Moving to Node #0,2
Current State: 18:[49, 22, 9], Operations: ['68-59=9']
Exploring Operation: 49-22=27, Resulting Numbers: [9, 27]
Generated Node #0,2,1: 18:[9, 27] Operation: 49-22=27
Moving to Node #0,2,1
Current State: 18:[9, 27], Operations: ['68-59=9', '49-22=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
63,
47,
52,
86
] | 76 | [
"63+47=110",
"86-52=34",
"110-34=76"
] | Current State: 76:[63, 47, 52, 86], Operations: []
Exploring Operation: 63+47=110, Resulting Numbers: [52, 86, 110]
Generated Node #2: [52, 86, 110] from Operation: 63+47=110
Current State: 76:[52, 86, 110], Operations: ['63+47=110']
Exploring Operation: 86-52=34, Resulting Numbers: [110, 34]
Generated Node #3: [110, 34] from Operation: 86-52=34
Current State: 76:[110, 34], Operations: ['63+47=110', '86-52=34']
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[63, 47, 52, 86], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [47, 86, 11]
Generated Node #0,0: 76:[47, 86, 11] Operation: 63-52=11
Exploring Operation: 52-47=5, Resulting Numbers: [63, 86, 5]
Generated Node #0,1: 76:[63, 86, 5] Operation: 52-47=5
Moving to Node #0,1
Current State: 76:[63, 86, 5], Operations: ['52-47=5']
Exploring Operation: 86-63=23, Resulting Numbers: [5, 23]
Generated Node #0,1,0: 76:[5, 23] Operation: 86-63=23
Exploring Operation: 63+5=68, Resulting Numbers: [86, 68]
Generated Node #0,1,1: 76:[86, 68] Operation: 63+5=68
Moving to Node #0,0
Current State: 76:[47, 86, 11], Operations: ['63-52=11']
Exploring Operation: 86-11=75, Resulting Numbers: [47, 75]
Generated Node #0,0,0: 76:[47, 75] Operation: 86-11=75
Exploring Operation: 86-47=39, Resulting Numbers: [11, 39]
Generated Node #0,0,1: 76:[11, 39] Operation: 86-47=39
Moving to Node #0,1,0
Current State: 76:[5, 23], Operations: ['52-47=5', '86-63=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[11, 39], Operations: ['63-52=11', '86-47=39']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[47, 75], Operations: ['63-52=11', '86-11=75']
Exploring Operation: 47+75=122, Resulting Numbers: [122]
122,76 unequal: No Solution
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[86, 68], Operations: ['52-47=5', '63+5=68']
Exploring Operation: 86+68=154, Resulting Numbers: [154]
154,76 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,76 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
65,
5,
54,
10
] | 51 | [
"65/5=13",
"54+10=64",
"64-13=51"
] | Current State: 51:[65, 5, 54, 10], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [54, 10, 13]
Generated Node #2: [54, 10, 13] from Operation: 65/5=13
Current State: 51:[54, 10, 13], Operations: ['65/5=13']
Exploring Operation: 54+10=64, Resulting Numbers: [13, 64]
Generated Node #3: [13, 64] from Operation: 54+10=64
Current State: 51:[13, 64], Operations: ['65/5=13', '54+10=64']
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[65, 5, 54, 10], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [54, 10, 13]
Generated Node #0,0: 51:[54, 10, 13] Operation: 65/5=13
Exploring Operation: 65-10=55, Resulting Numbers: [5, 54, 55]
Generated Node #0,1: 51:[5, 54, 55] Operation: 65-10=55
Exploring Operation: 65-54=11, Resulting Numbers: [5, 10, 11]
Generated Node #0,2: 51:[5, 10, 11] Operation: 65-54=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[5, 54, 55], Operations: ['65-10=55']
Exploring Operation: 54-5=49, Resulting Numbers: [55, 49]
Generated Node #0,1,0: 51:[55, 49] Operation: 54-5=49
Exploring Operation: 55-54=1, Resulting Numbers: [5, 1]
Generated Node #0,1,1: 51:[5, 1] Operation: 55-54=1
Exploring Operation: 55-5=50, Resulting Numbers: [54, 50]
Generated Node #0,1,2: 51:[54, 50] Operation: 55-5=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[5, 1], Operations: ['65-10=55', '55-54=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 51:[54, 50], Operations: ['65-10=55', '55-5=50']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,51 unequal: No Solution
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[55, 49], Operations: ['65-10=55', '54-5=49']
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,51 unequal: No Solution
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[54, 10, 13], Operations: ['65/5=13']
Exploring Operation: 13-10=3, Resulting Numbers: [54, 3]
Generated Node #0,0,0: 51:[54, 3] Operation: 13-10=3
Exploring Operation: 10+13=23, Resulting Numbers: [54, 23]
Generated Node #0,0,1: 51:[54, 23] Operation: 10+13=23
Exploring Operation: 54-10=44, Resulting Numbers: [13, 44]
Generated Node #0,0,2: 51:[13, 44] Operation: 54-10=44
Moving to Node #0,0,0
Current State: 51:[54, 3], Operations: ['65/5=13', '13-10=3']
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[65, 5, 54, 10], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [54, 10, 13]
Generated Node #0,0: 51:[54, 10, 13] Operation: 65/5=13
Moving to Node #0,0
Current State: 51:[54, 10, 13], Operations: ['65/5=13']
Exploring Operation: 13-10=3, Resulting Numbers: [54, 3]
Generated Node #0,0,0: 51:[54, 3] Operation: 13-10=3
Moving to Node #0,0,0
Current State: 51:[54, 3], Operations: ['65/5=13', '13-10=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
16,
19,
54,
90
] | 24 | [
"19-16=3",
"90/3=30",
"54-30=24"
] | Current State: 24:[16, 19, 54, 90], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [54, 90, 3]
Generated Node #2: [54, 90, 3] from Operation: 19-16=3
Current State: 24:[54, 90, 3], Operations: ['19-16=3']
Exploring Operation: 90/3=30, Resulting Numbers: [54, 30]
Generated Node #3: [54, 30] from Operation: 90/3=30
Current State: 24:[54, 30], Operations: ['19-16=3', '90/3=30']
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[16, 19, 54, 90], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [16, 19, 36]
Generated Node #0,0: 24:[16, 19, 36] Operation: 90-54=36
Moving to Node #0,0
Current State: 24:[16, 19, 36], Operations: ['90-54=36']
Exploring Operation: 36-16=20, Resulting Numbers: [19, 20]
Generated Node #0,0,0: 24:[19, 20] Operation: 36-16=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[19, 20], Operations: ['90-54=36', '36-16=20']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
99,
84,
99
] | 87 | [
"2+84=86",
"99/99=1",
"86+1=87"
] | Current State: 87:[2, 99, 84, 99], Operations: []
Exploring Operation: 2+84=86, Resulting Numbers: [99, 99, 86]
Generated Node #2: [99, 99, 86] from Operation: 2+84=86
Current State: 87:[99, 99, 86], Operations: ['2+84=86']
Exploring Operation: 99/99=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 99/99=1
Current State: 87:[86, 1], Operations: ['2+84=86', '99/99=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[2, 99, 84, 99], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [2, 84, 1]
Generated Node #0,0: 87:[2, 84, 1] Operation: 99/99=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[2, 84, 1], Operations: ['99/99=1']
Exploring Operation: 2+84=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 87:[1, 86] Operation: 2+84=86
Moving to Node #0,0,0
Current State: 87:[1, 86], Operations: ['99/99=1', '2+84=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[2, 99, 84, 99], Operations: []
Exploring Operation: 99/99=1, Resulting Numbers: [2, 84, 1]
Generated Node #0,0: 87:[2, 84, 1] Operation: 99/99=1
Moving to Node #0,0
Current State: 87:[2, 84, 1], Operations: ['99/99=1']
Exploring Operation: 2+84=86, Resulting Numbers: [1, 86]
Generated Node #0,0,0: 87:[1, 86] Operation: 2+84=86
Moving to Node #0,0,0
Current State: 87:[1, 86], Operations: ['99/99=1', '2+84=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
62,
66,
81,
18
] | 67 | [
"66-62=4",
"81-18=63",
"4+63=67"
] | Current State: 67:[62, 66, 81, 18], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [81, 18, 4]
Generated Node #2: [81, 18, 4] from Operation: 66-62=4
Current State: 67:[81, 18, 4], Operations: ['66-62=4']
Exploring Operation: 81-18=63, Resulting Numbers: [4, 63]
Generated Node #3: [4, 63] from Operation: 81-18=63
Current State: 67:[4, 63], Operations: ['66-62=4', '81-18=63']
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[62, 66, 81, 18], Operations: []
Exploring Operation: 81-18=63, Resulting Numbers: [62, 66, 63]
Generated Node #0,0: 67:[62, 66, 63] Operation: 81-18=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[62, 66, 63], Operations: ['81-18=63']
Exploring Operation: 62+63=125, Resulting Numbers: [66, 125]
Generated Node #0,0,0: 67:[66, 125] Operation: 62+63=125
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[66, 125], Operations: ['81-18=63', '62+63=125']
Exploring Operation: 125-66=59, Resulting Numbers: [59]
59,67 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
60,
15,
61,
57
] | 66 | [
"60-57=3",
"15/3=5",
"61+5=66"
] | Current State: 66:[60, 15, 61, 57], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [15, 61, 3]
Generated Node #2: [15, 61, 3] from Operation: 60-57=3
Current State: 66:[15, 61, 3], Operations: ['60-57=3']
Exploring Operation: 15/3=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 15/3=5
Current State: 66:[61, 5], Operations: ['60-57=3', '15/3=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[60, 15, 61, 57], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [15, 61, 3]
Generated Node #0,0: 66:[15, 61, 3] Operation: 60-57=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[15, 61, 3], Operations: ['60-57=3']
Exploring Operation: 15-3=12, Resulting Numbers: [61, 12]
Generated Node #0,0,0: 66:[61, 12] Operation: 15-3=12
Moving to Node #0,0,0
Current State: 66:[61, 12], Operations: ['60-57=3', '15-3=12']
Exploring Operation: 61+12=73, Resulting Numbers: [73]
73,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
18,
7,
91,
17
] | 98 | [
"18-17=1",
"7+91=98",
"1*98=98"
] | Current State: 98:[18, 7, 91, 17], Operations: []
Exploring Operation: 18-17=1, Resulting Numbers: [7, 91, 1]
Generated Node #2: [7, 91, 1] from Operation: 18-17=1
Current State: 98:[7, 91, 1], Operations: ['18-17=1']
Exploring Operation: 7+91=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 7+91=98
Current State: 98:[1, 98], Operations: ['18-17=1', '7+91=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[18, 7, 91, 17], Operations: []
Exploring Operation: 7+91=98, Resulting Numbers: [18, 17, 98]
Generated Node #0,0: 98:[18, 17, 98] Operation: 7+91=98
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[18, 17, 98], Operations: ['7+91=98']
Exploring Operation: 18-17=1, Resulting Numbers: [98, 1]
Generated Node #0,0,0: 98:[98, 1] Operation: 18-17=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[98, 1], Operations: ['7+91=98', '18-17=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[18, 7, 91, 17], Operations: []
Exploring Operation: 7+91=98, Resulting Numbers: [18, 17, 98]
Generated Node #0,0: 98:[18, 17, 98] Operation: 7+91=98
Moving to Node #0,0
Current State: 98:[18, 17, 98], Operations: ['7+91=98']
Exploring Operation: 18-17=1, Resulting Numbers: [98, 1]
Generated Node #0,0,0: 98:[98, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 98:[98, 1], Operations: ['7+91=98', '18-17=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
17,
75,
16,
4
] | 80 | [
"17+75=92",
"16-4=12",
"92-12=80"
] | Current State: 80:[17, 75, 16, 4], Operations: []
Exploring Operation: 17+75=92, Resulting Numbers: [16, 4, 92]
Generated Node #2: [16, 4, 92] from Operation: 17+75=92
Current State: 80:[16, 4, 92], Operations: ['17+75=92']
Exploring Operation: 16-4=12, Resulting Numbers: [92, 12]
Generated Node #3: [92, 12] from Operation: 16-4=12
Current State: 80:[92, 12], Operations: ['17+75=92', '16-4=12']
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[17, 75, 16, 4], Operations: []
Exploring Operation: 16+4=20, Resulting Numbers: [17, 75, 20]
Generated Node #0,0: 80:[17, 75, 20] Operation: 16+4=20
Exploring Operation: 17-16=1, Resulting Numbers: [75, 4, 1]
Generated Node #0,1: 80:[75, 4, 1] Operation: 17-16=1
Exploring Operation: 17+4=21, Resulting Numbers: [75, 16, 21]
Generated Node #0,2: 80:[75, 16, 21] Operation: 17+4=21
Exploring Operation: 75+4=79, Resulting Numbers: [17, 16, 79]
Generated Node #0,3: 80:[17, 16, 79] Operation: 75+4=79
Moving to Node #0,3
Current State: 80:[17, 16, 79], Operations: ['75+4=79']
Exploring Operation: 17+79=96, Resulting Numbers: [16, 96]
Generated Node #0,3,0: 80:[16, 96] Operation: 17+79=96
Exploring Operation: 17-16=1, Resulting Numbers: [79, 1]
Generated Node #0,3,1: 80:[79, 1] Operation: 17-16=1
Exploring Operation: 17+16=33, Resulting Numbers: [79, 33]
Generated Node #0,3,2: 80:[79, 33] Operation: 17+16=33
Exploring Operation: 16+79=95, Resulting Numbers: [17, 95]
Generated Node #0,3,3: 80:[17, 95] Operation: 16+79=95
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 80:[79, 1], Operations: ['75+4=79', '17-16=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,80 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,80 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,80 unequal: No Solution
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[17, 75, 16, 4], Operations: []
Exploring Operation: 75+4=79, Resulting Numbers: [17, 16, 79]
Generated Node #0,3: 80:[17, 16, 79] Operation: 75+4=79
Moving to Node #0,3
Current State: 80:[17, 16, 79], Operations: ['75+4=79']
Exploring Operation: 17-16=1, Resulting Numbers: [79, 1]
Generated Node #0,3,1: 80:[79, 1] Operation: 17-16=1
Moving to Node #0,3,1
Current State: 80:[79, 1], Operations: ['75+4=79', '17-16=1']
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
20,
2,
28,
44
] | 72 | [
"28-20=8",
"44-8=36",
"2*36=72"
] | Current State: 72:[20, 2, 28, 44], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [2, 44, 8]
Generated Node #2: [2, 44, 8] from Operation: 28-20=8
Current State: 72:[2, 44, 8], Operations: ['28-20=8']
Exploring Operation: 44-8=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 44-8=36
Current State: 72:[2, 36], Operations: ['28-20=8', '44-8=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[20, 2, 28, 44], Operations: []
Exploring Operation: 28+44=72, Resulting Numbers: [20, 2, 72]
Generated Node #0,0: 72:[20, 2, 72] Operation: 28+44=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[20, 2, 72], Operations: ['28+44=72']
Exploring Operation: 20-2=18, Resulting Numbers: [72, 18]
Generated Node #0,0,0: 72:[72, 18] Operation: 20-2=18
Moving to Node #0,0,0
Current State: 72:[72, 18], Operations: ['28+44=72', '20-2=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
50,
41,
40,
1
] | 48 | [
"50-41=9",
"40-1=39",
"9+39=48"
] | Current State: 48:[50, 41, 40, 1], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [40, 1, 9]
Generated Node #2: [40, 1, 9] from Operation: 50-41=9
Current State: 48:[40, 1, 9], Operations: ['50-41=9']
Exploring Operation: 40-1=39, Resulting Numbers: [9, 39]
Generated Node #3: [9, 39] from Operation: 40-1=39
Current State: 48:[9, 39], Operations: ['50-41=9', '40-1=39']
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[50, 41, 40, 1], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [40, 1, 9]
Generated Node #0,0: 48:[40, 1, 9] Operation: 50-41=9
Exploring Operation: 41-40=1, Resulting Numbers: [50, 1, 1]
Generated Node #0,1: 48:[50, 1, 1] Operation: 41-40=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[50, 1, 1], Operations: ['41-40=1']
Exploring Operation: 50-1=49, Resulting Numbers: [1, 49]
Generated Node #0,1,0: 48:[1, 49] Operation: 50-1=49
Exploring Operation: 50-1=49, Resulting Numbers: [1, 49]
Generated Node #0,1,1: 48:[1, 49] Operation: 50-1=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[1, 49], Operations: ['41-40=1', '50-1=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[50, 41, 40, 1], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [50, 1, 1]
Generated Node #0,1: 48:[50, 1, 1] Operation: 41-40=1
Moving to Node #0,1
Current State: 48:[50, 1, 1], Operations: ['41-40=1']
Exploring Operation: 50-1=49, Resulting Numbers: [1, 49]
Generated Node #0,1,0: 48:[1, 49] Operation: 50-1=49
Moving to Node #0,1,0
Current State: 48:[1, 49], Operations: ['41-40=1', '50-1=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
12,
58,
73,
1
] | 64 | [
"73-1=72",
"72/12=6",
"58+6=64"
] | Current State: 64:[12, 58, 73, 1], Operations: []
Exploring Operation: 73-1=72, Resulting Numbers: [12, 58, 72]
Generated Node #2: [12, 58, 72] from Operation: 73-1=72
Current State: 64:[12, 58, 72], Operations: ['73-1=72']
Exploring Operation: 72/12=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 72/12=6
Current State: 64:[58, 6], Operations: ['73-1=72', '72/12=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[12, 58, 73, 1], Operations: []
Exploring Operation: 12+1=13, Resulting Numbers: [58, 73, 13]
Generated Node #0,0: 64:[58, 73, 13] Operation: 12+1=13
Exploring Operation: 73-58=15, Resulting Numbers: [12, 1, 15]
Generated Node #0,1: 64:[12, 1, 15] Operation: 73-58=15
Exploring Operation: 12+58=70, Resulting Numbers: [73, 1, 70]
Generated Node #0,2: 64:[73, 1, 70] Operation: 12+58=70
Exploring Operation: 73-12=61, Resulting Numbers: [58, 1, 61]
Generated Node #0,3: 64:[58, 1, 61] Operation: 73-12=61
Moving to Node #0,1
Current State: 64:[12, 1, 15], Operations: ['73-58=15']
Exploring Operation: 1+15=16, Resulting Numbers: [12, 16]
Generated Node #0,1,0: 64:[12, 16] Operation: 1+15=16
Exploring Operation: 12+1=13, Resulting Numbers: [15, 13]
Generated Node #0,1,1: 64:[15, 13] Operation: 12+1=13
Exploring Operation: 15-12=3, Resulting Numbers: [1, 3]
Generated Node #0,1,2: 64:[1, 3] Operation: 15-12=3
Exploring Operation: 12-1=11, Resulting Numbers: [15, 11]
Generated Node #0,1,3: 64:[15, 11] Operation: 12-1=11
Moving to Node #0,3
Current State: 64:[58, 1, 61], Operations: ['73-12=61']
Exploring Operation: 61-58=3, Resulting Numbers: [1, 3]
Generated Node #0,3,0: 64:[1, 3] Operation: 61-58=3
Exploring Operation: 58+1=59, Resulting Numbers: [61, 59]
Generated Node #0,3,1: 64:[61, 59] Operation: 58+1=59
Exploring Operation: 1+61=62, Resulting Numbers: [58, 62]
Generated Node #0,3,2: 64:[58, 62] Operation: 1+61=62
Exploring Operation: 58*1=58, Resulting Numbers: [61, 58]
Generated Node #0,3,3: 64:[61, 58] Operation: 58*1=58
Moving to Node #0,2
Current State: 64:[73, 1, 70], Operations: ['12+58=70']
Exploring Operation: 73-1=72, Resulting Numbers: [70, 72]
Generated Node #0,2,0: 64:[70, 72] Operation: 73-1=72
Exploring Operation: 70-1=69, Resulting Numbers: [73, 69]
Generated Node #0,2,1: 64:[73, 69] Operation: 70-1=69
Exploring Operation: 73-70=3, Resulting Numbers: [1, 3]
Generated Node #0,2,2: 64:[1, 3] Operation: 73-70=3
Exploring Operation: 73*1=73, Resulting Numbers: [70, 73]
Generated Node #0,2,3: 64:[70, 73] Operation: 73*1=73
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[1, 3], Operations: ['12+58=70', '73-70=3']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[70, 72], Operations: ['12+58=70', '73-1=72']
Exploring Operation: 70*72=5040, Resulting Numbers: [5040]
5040,64 unequal: No Solution
Exploring Operation: 72-70=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 70+72=142, Resulting Numbers: [142]
142,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[73, 69], Operations: ['12+58=70', '70-1=69']
Exploring Operation: 73+69=142, Resulting Numbers: [142]
142,64 unequal: No Solution
Exploring Operation: 73-69=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 73*69=5037, Resulting Numbers: [5037]
5037,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[70, 73], Operations: ['12+58=70', '73*1=73']
Exploring Operation: 70*73=5110, Resulting Numbers: [5110]
5110,64 unequal: No Solution
Exploring Operation: 73-70=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 70+73=143, Resulting Numbers: [143]
143,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 64:[58, 73, 13], Operations: ['12+1=13']
Exploring Operation: 73-58=15, Resulting Numbers: [13, 15]
Generated Node #0,0,0: 64:[13, 15] Operation: 73-58=15
Exploring Operation: 73-13=60, Resulting Numbers: [58, 60]
Generated Node #0,0,1: 64:[58, 60] Operation: 73-13=60
Exploring Operation: 58-13=45, Resulting Numbers: [73, 45]
Generated Node #0,0,2: 64:[73, 45] Operation: 58-13=45
Exploring Operation: 58+13=71, Resulting Numbers: [73, 71]
Generated Node #0,0,3: 64:[73, 71] Operation: 58+13=71
Moving to Node #0,1,2
Current State: 64:[1, 3], Operations: ['73-58=15', '15-12=3']
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Moving to Node #0,3,0
Current State: 64:[1, 3], Operations: ['73-12=61', '61-58=3']
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[15, 13], Operations: ['73-58=15', '12+1=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[12, 16], Operations: ['73-58=15', '1+15=16']
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,64 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[15, 11], Operations: ['73-58=15', '12-1=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[13, 15], Operations: ['12+1=13', '73-58=15']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,64 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Moving to Node #0,3,2
Current State: 64:[58, 62], Operations: ['73-12=61', '1+61=62']
Exploring Operation: 58*62=3596, Resulting Numbers: [3596]
3596,64 unequal: No Solution
Exploring Operation: 62-58=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 58+62=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Moving to Node #0,3,1
Current State: 64:[61, 59], Operations: ['73-12=61', '58+1=59']
Exploring Operation: 61*59=3599, Resulting Numbers: [3599]
3599,64 unequal: No Solution
Exploring Operation: 61+59=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 61-59=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Moving to Node #0,3,3
Current State: 64:[61, 58], Operations: ['73-12=61', '58*1=58']
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,64 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[58, 60], Operations: ['12+1=13', '73-13=60']
Exploring Operation: 58+60=118, Resulting Numbers: [118]
118,64 unequal: No Solution
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 58*60=3480, Resulting Numbers: [3480]
3480,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[73, 71], Operations: ['12+1=13', '58+13=71']
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,64 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[73, 45], Operations: ['12+1=13', '58-13=45']
Exploring Operation: 73+45=118, Resulting Numbers: [118]
118,64 unequal: No Solution
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 73*45=3285, Resulting Numbers: [3285]
3285,64 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
19,
28,
24,
3
] | 88 | [
"19+3=22",
"28-24=4",
"22*4=88"
] | Current State: 88:[19, 28, 24, 3], Operations: []
Exploring Operation: 19+3=22, Resulting Numbers: [28, 24, 22]
Generated Node #2: [28, 24, 22] from Operation: 19+3=22
Current State: 88:[28, 24, 22], Operations: ['19+3=22']
Exploring Operation: 28-24=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 28-24=4
Current State: 88:[22, 4], Operations: ['19+3=22', '28-24=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[19, 28, 24, 3], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [19, 3, 4]
Generated Node #0,0: 88:[19, 3, 4] Operation: 28-24=4
Exploring Operation: 19+28=47, Resulting Numbers: [24, 3, 47]
Generated Node #0,1: 88:[24, 3, 47] Operation: 19+28=47
Exploring Operation: 28-19=9, Resulting Numbers: [24, 3, 9]
Generated Node #0,2: 88:[24, 3, 9] Operation: 28-19=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[19, 3, 4], Operations: ['28-24=4']
Exploring Operation: 19+4=23, Resulting Numbers: [3, 23]
Generated Node #0,0,0: 88:[3, 23] Operation: 19+4=23
Exploring Operation: 3+4=7, Resulting Numbers: [19, 7]
Generated Node #0,0,1: 88:[19, 7] Operation: 3+4=7
Exploring Operation: 19+3=22, Resulting Numbers: [4, 22]
Generated Node #0,0,2: 88:[4, 22] Operation: 19+3=22
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[4, 22], Operations: ['28-24=4', '19+3=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[19, 28, 24, 3], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [19, 3, 4]
Generated Node #0,0: 88:[19, 3, 4] Operation: 28-24=4
Moving to Node #0,0
Current State: 88:[19, 3, 4], Operations: ['28-24=4']
Exploring Operation: 19+3=22, Resulting Numbers: [4, 22]
Generated Node #0,0,2: 88:[4, 22] Operation: 19+3=22
Moving to Node #0,0,2
Current State: 88:[4, 22], Operations: ['28-24=4', '19+3=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
99,
95,
2,
87
] | 83 | [
"95-87=8",
"2*8=16",
"99-16=83"
] | Current State: 83:[99, 95, 2, 87], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [99, 2, 8]
Generated Node #2: [99, 2, 8] from Operation: 95-87=8
Current State: 83:[99, 2, 8], Operations: ['95-87=8']
Exploring Operation: 2*8=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 2*8=16
Current State: 83:[99, 16], Operations: ['95-87=8', '2*8=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[99, 95, 2, 87], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [95, 87, 97]
Generated Node #0,0: 83:[95, 87, 97] Operation: 99-2=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[95, 87, 97], Operations: ['99-2=97']
Exploring Operation: 97-95=2, Resulting Numbers: [87, 2]
Generated Node #0,0,0: 83:[87, 2] Operation: 97-95=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[87, 2], Operations: ['99-2=97', '97-95=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
86,
63,
74,
47
] | 50 | [
"86-63=23",
"74-47=27",
"23+27=50"
] | Current State: 50:[86, 63, 74, 47], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [74, 47, 23]
Generated Node #2: [74, 47, 23] from Operation: 86-63=23
Current State: 50:[74, 47, 23], Operations: ['86-63=23']
Exploring Operation: 74-47=27, Resulting Numbers: [23, 27]
Generated Node #3: [23, 27] from Operation: 74-47=27
Current State: 50:[23, 27], Operations: ['86-63=23', '74-47=27']
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[86, 63, 74, 47], Operations: []
Exploring Operation: 86-74=12, Resulting Numbers: [63, 47, 12]
Generated Node #0,0: 50:[63, 47, 12] Operation: 86-74=12
Exploring Operation: 86-63=23, Resulting Numbers: [74, 47, 23]
Generated Node #0,1: 50:[74, 47, 23] Operation: 86-63=23
Moving to Node #0,0
Current State: 50:[63, 47, 12], Operations: ['86-74=12']
Exploring Operation: 63-47=16, Resulting Numbers: [12, 16]
Generated Node #0,0,0: 50:[12, 16] Operation: 63-47=16
Exploring Operation: 63-12=51, Resulting Numbers: [47, 51]
Generated Node #0,0,1: 50:[47, 51] Operation: 63-12=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[47, 51], Operations: ['86-74=12', '63-12=51']
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[12, 16], Operations: ['86-74=12', '63-47=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,50 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: 50:[74, 47, 23], Operations: ['86-63=23']
Exploring Operation: 74-47=27, Resulting Numbers: [23, 27]
Generated Node #0,1,0: 50:[23, 27] Operation: 74-47=27
Exploring Operation: 74-23=51, Resulting Numbers: [47, 51]
Generated Node #0,1,1: 50:[47, 51] Operation: 74-23=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[23, 27], Operations: ['86-63=23', '74-47=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[86, 63, 74, 47], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [74, 47, 23]
Generated Node #0,1: 50:[74, 47, 23] Operation: 86-63=23
Moving to Node #0,1
Current State: 50:[74, 47, 23], Operations: ['86-63=23']
Exploring Operation: 74-47=27, Resulting Numbers: [23, 27]
Generated Node #0,1,0: 50:[23, 27] Operation: 74-47=27
Moving to Node #0,1,0
Current State: 50:[23, 27], Operations: ['86-63=23', '74-47=27']
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
75,
8,
56,
16
] | 21 | [
"75-56=19",
"16/8=2",
"19+2=21"
] | Current State: 21:[75, 8, 56, 16], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [8, 16, 19]
Generated Node #2: [8, 16, 19] from Operation: 75-56=19
Current State: 21:[8, 16, 19], Operations: ['75-56=19']
Exploring Operation: 16/8=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 16/8=2
Current State: 21:[19, 2], Operations: ['75-56=19', '16/8=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[75, 8, 56, 16], Operations: []
Exploring Operation: 75-56=19, Resulting Numbers: [8, 16, 19]
Generated Node #0,0: 21:[8, 16, 19] Operation: 75-56=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[8, 16, 19], Operations: ['75-56=19']
Exploring Operation: 19-16=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 21:[8, 3] Operation: 19-16=3
Moving to Node #0,0,0
Current State: 21:[8, 3], Operations: ['75-56=19', '19-16=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,21 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 |
[
34,
23,
30,
33
] | 40 | [
"34-30=4",
"33-23=10",
"4*10=40"
] | Current State: 40:[34, 23, 30, 33], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [23, 33, 4]
Generated Node #2: [23, 33, 4] from Operation: 34-30=4
Current State: 40:[23, 33, 4], Operations: ['34-30=4']
Exploring Operation: 33-23=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 33-23=10
Current State: 40:[4, 10], Operations: ['34-30=4', '33-23=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[34, 23, 30, 33], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [23, 33, 4]
Generated Node #0,0: 40:[23, 33, 4] Operation: 34-30=4
Moving to Node #0,0
Current State: 40:[23, 33, 4], Operations: ['34-30=4']
Exploring Operation: 33-23=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 40:[4, 10] Operation: 33-23=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[4, 10], Operations: ['34-30=4', '33-23=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[34, 23, 30, 33], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [23, 33, 4]
Generated Node #0,0: 40:[23, 33, 4] Operation: 34-30=4
Moving to Node #0,0
Current State: 40:[23, 33, 4], Operations: ['34-30=4']
Exploring Operation: 33-23=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 40:[4, 10] Operation: 33-23=10
Moving to Node #0,0,0
Current State: 40:[4, 10], Operations: ['34-30=4', '33-23=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
33,
22,
20,
77
] | 37 | [
"20*77=1540",
"1540/22=70",
"70-33=37"
] | Current State: 37:[33, 22, 20, 77], Operations: []
Exploring Operation: 20*77=1540, Resulting Numbers: [33, 22, 1540]
Generated Node #2: [33, 22, 1540] from Operation: 20*77=1540
Current State: 37:[33, 22, 1540], Operations: ['20*77=1540']
Exploring Operation: 1540/22=70, Resulting Numbers: [33, 70]
Generated Node #3: [33, 70] from Operation: 1540/22=70
Current State: 37:[33, 70], Operations: ['20*77=1540', '1540/22=70']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[33, 22, 20, 77], Operations: []
Exploring Operation: 77-20=57, Resulting Numbers: [33, 22, 57]
Generated Node #0,0: 37:[33, 22, 57] Operation: 77-20=57
Exploring Operation: 22+20=42, Resulting Numbers: [33, 77, 42]
Generated Node #0,1: 37:[33, 77, 42] Operation: 22+20=42
Exploring Operation: 33+20=53, Resulting Numbers: [22, 77, 53]
Generated Node #0,2: 37:[22, 77, 53] Operation: 33+20=53
Exploring Operation: 77-22=55, Resulting Numbers: [33, 20, 55]
Generated Node #0,3: 37:[33, 20, 55] Operation: 77-22=55
Exploring Operation: 77-33=44, Resulting Numbers: [22, 20, 44]
Generated Node #0,4: 37:[22, 20, 44] Operation: 77-33=44
Moving to Node #0,0
Current State: 37:[33, 22, 57], Operations: ['77-20=57']
Exploring Operation: 33-22=11, Resulting Numbers: [57, 11]
Generated Node #0,0,0: 37:[57, 11] Operation: 33-22=11
Exploring Operation: 57-22=35, Resulting Numbers: [33, 35]
Generated Node #0,0,1: 37:[33, 35] Operation: 57-22=35
Exploring Operation: 57-33=24, Resulting Numbers: [22, 24]
Generated Node #0,0,2: 37:[22, 24] Operation: 57-33=24
Exploring Operation: 33+22=55, Resulting Numbers: [57, 55]
Generated Node #0,0,3: 37:[57, 55] Operation: 33+22=55
Exploring Operation: 22+57=79, Resulting Numbers: [33, 79]
Generated Node #0,0,4: 37:[33, 79] Operation: 22+57=79
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 37:[33, 35], Operations: ['77-20=57', '57-22=35']
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,37 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 37:[22, 24], Operations: ['77-20=57', '57-33=24']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,37 unequal: No Solution
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 37:[57, 55], Operations: ['77-20=57', '33+22=55']
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,37 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[57, 11], Operations: ['77-20=57', '33-22=11']
Exploring Operation: 57*11=627, Resulting Numbers: [627]
627,37 unequal: No Solution
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 57-11=46, Resulting Numbers: [46]
46,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 37:[33, 79], Operations: ['77-20=57', '22+57=79']
Exploring Operation: 33+79=112, Resulting Numbers: [112]
112,37 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 33*79=2607, Resulting Numbers: [2607]
2607,37 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: 37:[22, 20, 44], Operations: ['77-33=44']
Exploring Operation: 44-22=22, Resulting Numbers: [20, 22]
Generated Node #0,4,0: 37:[20, 22] Operation: 44-22=22
Exploring Operation: 22+20=42, Resulting Numbers: [44, 42]
Generated Node #0,4,1: 37:[44, 42] Operation: 22+20=42
Exploring Operation: 22-20=2, Resulting Numbers: [44, 2]
Generated Node #0,4,2: 37:[44, 2] Operation: 22-20=2
Exploring Operation: 20+44=64, Resulting Numbers: [22, 64]
Generated Node #0,4,3: 37:[22, 64] Operation: 20+44=64
Exploring Operation: 44-20=24, Resulting Numbers: [22, 24]
Generated Node #0,4,4: 37:[22, 24] Operation: 44-20=24
Moving to Node #0,3
Current State: 37:[33, 20, 55], Operations: ['77-22=55']
Exploring Operation: 55-20=35, Resulting Numbers: [33, 35]
Generated Node #0,3,0: 37:[33, 35] Operation: 55-20=35
Exploring Operation: 33+20=53, Resulting Numbers: [55, 53]
Generated Node #0,3,1: 37:[55, 53] Operation: 33+20=53
Exploring Operation: 55-33=22, Resulting Numbers: [20, 22]
Generated Node #0,3,2: 37:[20, 22] Operation: 55-33=22
Exploring Operation: 33-20=13, Resulting Numbers: [55, 13]
Generated Node #0,3,3: 37:[55, 13] Operation: 33-20=13
Exploring Operation: 20+55=75, Resulting Numbers: [33, 75]
Generated Node #0,3,4: 37:[33, 75] Operation: 20+55=75
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[33, 35], Operations: ['77-22=55', '55-20=35']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,37 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 37:[20, 22], Operations: ['77-22=55', '55-33=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,37 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 37:[55, 53], Operations: ['77-22=55', '33+20=53']
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,37 unequal: No Solution
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[55, 13], Operations: ['77-22=55', '33-20=13']
Exploring Operation: 55+13=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 55*13=715, Resulting Numbers: [715]
715,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 37:[33, 75], Operations: ['77-22=55', '20+55=75']
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,37 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,37 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: 37:[33, 77, 42], Operations: ['22+20=42']
Exploring Operation: 33+77=110, Resulting Numbers: [42, 110]
Generated Node #0,1,0: 37:[42, 110] Operation: 33+77=110
Exploring Operation: 33+42=75, Resulting Numbers: [77, 75]
Generated Node #0,1,1: 37:[77, 75] Operation: 33+42=75
Exploring Operation: 77-42=35, Resulting Numbers: [33, 35]
Generated Node #0,1,2: 37:[33, 35] Operation: 77-42=35
Exploring Operation: 77-33=44, Resulting Numbers: [42, 44]
Generated Node #0,1,3: 37:[42, 44] Operation: 77-33=44
Exploring Operation: 42-33=9, Resulting Numbers: [77, 9]
Generated Node #0,1,4: 37:[77, 9] Operation: 42-33=9
Moving to Node #0,2
Current State: 37:[22, 77, 53], Operations: ['33+20=53']
Exploring Operation: 77-22=55, Resulting Numbers: [53, 55]
Generated Node #0,2,0: 37:[53, 55] Operation: 77-22=55
Exploring Operation: 77-53=24, Resulting Numbers: [22, 24]
Generated Node #0,2,1: 37:[22, 24] Operation: 77-53=24
Exploring Operation: 22+77=99, Resulting Numbers: [53, 99]
Generated Node #0,2,2: 37:[53, 99] Operation: 22+77=99
Exploring Operation: 22+53=75, Resulting Numbers: [77, 75]
Generated Node #0,2,3: 37:[77, 75] Operation: 22+53=75
Exploring Operation: 53-22=31, Resulting Numbers: [77, 31]
Generated Node #0,2,4: 37:[77, 31] Operation: 53-22=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 37:[22, 24], Operations: ['33+20=53', '77-53=24']
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,37 unequal: No Solution
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[53, 55], Operations: ['33+20=53', '77-22=55']
Exploring Operation: 53+55=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 53*55=2915, Resulting Numbers: [2915]
2915,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 37:[77, 31], Operations: ['33+20=53', '53-22=31']
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,37 unequal: No Solution
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[53, 99], Operations: ['33+20=53', '22+77=99']
Exploring Operation: 99-53=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 53+99=152, Resulting Numbers: [152]
152,37 unequal: No Solution
Exploring Operation: 53*99=5247, Resulting Numbers: [5247]
5247,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 37:[77, 75], Operations: ['33+20=53', '22+53=75']
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 77*75=5775, Resulting Numbers: [5775]
5775,37 unequal: No Solution
Exploring Operation: 77+75=152, Resulting Numbers: [152]
152,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 37:[33, 35], Operations: ['22+20=42', '77-42=35']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,37 unequal: No Solution
Moving to Node #0,4,1
Current State: 37:[44, 42], Operations: ['77-33=44', '22+20=42']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 44*42=1848, Resulting Numbers: [1848]
1848,37 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[42, 44], Operations: ['22+20=42', '77-33=44']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,37 unequal: No Solution
Moving to Node #0,4,4
Current State: 37:[22, 24], Operations: ['77-33=44', '44-20=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 22*24=528, Resulting Numbers: [528]
528,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[20, 22], Operations: ['77-33=44', '44-22=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[22, 64], Operations: ['77-33=44', '20+44=64']
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 22*64=1408, Resulting Numbers: [1408]
1408,37 unequal: No Solution
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Moving to Node #0,4,2
Current State: 37:[44, 2], Operations: ['77-33=44', '22-20=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Moving to Node #0,1,4
Current State: 37:[77, 9], Operations: ['22+20=42', '42-33=9']
Exploring Operation: 77*9=693, Resulting Numbers: [693]
693,37 unequal: No Solution
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,37 unequal: No Solution
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[77, 75], Operations: ['22+20=42', '33+42=75']
Exploring Operation: 77*75=5775, Resulting Numbers: [5775]
5775,37 unequal: No Solution
Exploring Operation: 77-75=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 77+75=152, Resulting Numbers: [152]
152,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[42, 110], Operations: ['22+20=42', '33+77=110']
Exploring Operation: 42+110=152, Resulting Numbers: [152]
152,37 unequal: No Solution
Exploring Operation: 42*110=4620, Resulting Numbers: [4620]
4620,37 unequal: No Solution
Exploring Operation: 110-42=68, Resulting Numbers: [68]
68,37 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
79,
41,
14,
57
] | 49 | [
"79+41=120",
"14+57=71",
"120-71=49"
] | Current State: 49:[79, 41, 14, 57], Operations: []
Exploring Operation: 79+41=120, Resulting Numbers: [14, 57, 120]
Generated Node #2: [14, 57, 120] from Operation: 79+41=120
Current State: 49:[14, 57, 120], Operations: ['79+41=120']
Exploring Operation: 14+57=71, Resulting Numbers: [120, 71]
Generated Node #3: [120, 71] from Operation: 14+57=71
Current State: 49:[120, 71], Operations: ['79+41=120', '14+57=71']
Exploring Operation: 120-71=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[79, 41, 14, 57], Operations: []
Exploring Operation: 79-41=38, Resulting Numbers: [14, 57, 38]
Generated Node #0,0: 49:[14, 57, 38] Operation: 79-41=38
Exploring Operation: 79-57=22, Resulting Numbers: [41, 14, 22]
Generated Node #0,1: 49:[41, 14, 22] Operation: 79-57=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[14, 57, 38], Operations: ['79-41=38']
Exploring Operation: 57-14=43, Resulting Numbers: [38, 43]
Generated Node #0,0,0: 49:[38, 43] Operation: 57-14=43
Exploring Operation: 14+38=52, Resulting Numbers: [57, 52]
Generated Node #0,0,1: 49:[57, 52] Operation: 14+38=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[57, 52], Operations: ['79-41=38', '14+38=52']
Exploring Operation: 57-52=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 57+52=109, Resulting Numbers: [109]
109,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[38, 43], Operations: ['79-41=38', '57-14=43']
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,49 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,49 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 #0,1
Current State: 49:[41, 14, 22], Operations: ['79-57=22']
Exploring Operation: 41-22=19, Resulting Numbers: [14, 19]
Generated Node #0,1,0: 49:[14, 19] Operation: 41-22=19
Exploring Operation: 22-14=8, Resulting Numbers: [41, 8]
Generated Node #0,1,1: 49:[41, 8] Operation: 22-14=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[41, 8], Operations: ['79-57=22', '22-14=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[79, 41, 14, 57], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [41, 14, 22]
Generated Node #0,1: 49:[41, 14, 22] Operation: 79-57=22
Moving to Node #0,1
Current State: 49:[41, 14, 22], Operations: ['79-57=22']
Exploring Operation: 22-14=8, Resulting Numbers: [41, 8]
Generated Node #0,1,1: 49:[41, 8] Operation: 22-14=8
Moving to Node #0,1,1
Current State: 49:[41, 8], Operations: ['79-57=22', '22-14=8']
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
15,
45,
35,
68
] | 87 | [
"45*68=3060",
"3060-15=3045",
"3045/35=87"
] | Current State: 87:[15, 45, 35, 68], Operations: []
Exploring Operation: 45*68=3060, Resulting Numbers: [15, 35, 3060]
Generated Node #2: [15, 35, 3060] from Operation: 45*68=3060
Current State: 87:[15, 35, 3060], Operations: ['45*68=3060']
Exploring Operation: 3060-15=3045, Resulting Numbers: [35, 3045]
Generated Node #3: [35, 3045] from Operation: 3060-15=3045
Current State: 87:[35, 3045], Operations: ['45*68=3060', '3060-15=3045']
Exploring Operation: 3045/35=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[15, 45, 35, 68], Operations: []
Exploring Operation: 68-45=23, Resulting Numbers: [15, 35, 23]
Generated Node #0,0: 87:[15, 35, 23] Operation: 68-45=23
Moving to Node #0,0
Current State: 87:[15, 35, 23], Operations: ['68-45=23']
Exploring Operation: 23-15=8, Resulting Numbers: [35, 8]
Generated Node #0,0,0: 87:[35, 8] Operation: 23-15=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[35, 8], Operations: ['68-45=23', '23-15=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,87 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 |
[
42,
7,
70,
88
] | 22 | [
"70-42=28",
"7*88=616",
"616/28=22"
] | Current State: 22:[42, 7, 70, 88], Operations: []
Exploring Operation: 70-42=28, Resulting Numbers: [7, 88, 28]
Generated Node #2: [7, 88, 28] from Operation: 70-42=28
Current State: 22:[7, 88, 28], Operations: ['70-42=28']
Exploring Operation: 7*88=616, Resulting Numbers: [28, 616]
Generated Node #3: [28, 616] from Operation: 7*88=616
Current State: 22:[28, 616], Operations: ['70-42=28', '7*88=616']
Exploring Operation: 616/28=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[42, 7, 70, 88], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [42, 7, 18]
Generated Node #0,0: 22:[42, 7, 18] Operation: 88-70=18
Exploring Operation: 70-42=28, Resulting Numbers: [7, 88, 28]
Generated Node #0,1: 22:[7, 88, 28] Operation: 70-42=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[42, 7, 18], Operations: ['88-70=18']
Exploring Operation: 42-18=24, Resulting Numbers: [7, 24]
Generated Node #0,0,0: 22:[7, 24] Operation: 42-18=24
Exploring Operation: 42/7=6, Resulting Numbers: [18, 6]
Generated Node #0,0,1: 22:[18, 6] Operation: 42/7=6
Moving to Node #0,0,0
Current State: 22:[7, 24], Operations: ['88-70=18', '42-18=24']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[18, 6], Operations: ['88-70=18', '42/7=6']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,22 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 #0,1
Current State: 22:[7, 88, 28], Operations: ['70-42=28']
Exploring Operation: 88-7=81, Resulting Numbers: [28, 81]
Generated Node #0,1,0: 22:[28, 81] Operation: 88-7=81
Exploring Operation: 88-28=60, Resulting Numbers: [7, 60]
Generated Node #0,1,1: 22:[7, 60] Operation: 88-28=60
Moving to Node #0,1,1
Current State: 22:[7, 60], Operations: ['70-42=28', '88-28=60']
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,22 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[28, 81], Operations: ['70-42=28', '88-7=81']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 28+81=109, Resulting Numbers: [109]
109,22 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 |
[
54,
49,
95,
8
] | 36 | [
"49+95=144",
"144/8=18",
"54-18=36"
] | Current State: 36:[54, 49, 95, 8], Operations: []
Exploring Operation: 49+95=144, Resulting Numbers: [54, 8, 144]
Generated Node #2: [54, 8, 144] from Operation: 49+95=144
Current State: 36:[54, 8, 144], Operations: ['49+95=144']
Exploring Operation: 144/8=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 144/8=18
Current State: 36:[54, 18], Operations: ['49+95=144', '144/8=18']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[54, 49, 95, 8], Operations: []
Exploring Operation: 95-49=46, Resulting Numbers: [54, 8, 46]
Generated Node #0,0: 36:[54, 8, 46] Operation: 95-49=46
Exploring Operation: 54-8=46, Resulting Numbers: [49, 95, 46]
Generated Node #0,1: 36:[49, 95, 46] Operation: 54-8=46
Exploring Operation: 95-54=41, Resulting Numbers: [49, 8, 41]
Generated Node #0,2: 36:[49, 8, 41] Operation: 95-54=41
Exploring Operation: 49-8=41, Resulting Numbers: [54, 95, 41]
Generated Node #0,3: 36:[54, 95, 41] Operation: 49-8=41
Exploring Operation: 54-49=5, Resulting Numbers: [95, 8, 5]
Generated Node #0,4: 36:[95, 8, 5] Operation: 54-49=5
Moving to Node #0,2
Current State: 36:[49, 8, 41], Operations: ['95-54=41']
Exploring Operation: 49-41=8, Resulting Numbers: [8, 8]
Generated Node #0,2,0: 36:[8, 8] Operation: 49-41=8
Exploring Operation: 49+8=57, Resulting Numbers: [41, 57]
Generated Node #0,2,1: 36:[41, 57] Operation: 49+8=57
Exploring Operation: 41-8=33, Resulting Numbers: [49, 33]
Generated Node #0,2,2: 36:[49, 33] Operation: 41-8=33
Exploring Operation: 8+41=49, Resulting Numbers: [49, 49]
Generated Node #0,2,3: 36:[49, 49] Operation: 8+41=49
Exploring Operation: 49-8=41, Resulting Numbers: [41, 41]
Generated Node #0,2,4: 36:[41, 41] Operation: 49-8=41
Moving to Node #0,0
Current State: 36:[54, 8, 46], Operations: ['95-49=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54, 54]
Generated Node #0,0,0: 36:[54, 54] Operation: 8+46=54
Exploring Operation: 54+8=62, Resulting Numbers: [46, 62]
Generated Node #0,0,1: 36:[46, 62] Operation: 54+8=62
Exploring Operation: 54-46=8, Resulting Numbers: [8, 8]
Generated Node #0,0,2: 36:[8, 8] Operation: 54-46=8
Exploring Operation: 46-8=38, Resulting Numbers: [54, 38]
Generated Node #0,0,3: 36:[54, 38] Operation: 46-8=38
Exploring Operation: 54-8=46, Resulting Numbers: [46, 46]
Generated Node #0,0,4: 36:[46, 46] Operation: 54-8=46
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 36:[8, 8], Operations: ['95-49=46', '54-46=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,36 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 36:[54, 38], Operations: ['95-49=46', '46-8=38']
Exploring Operation: 54+38=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 54*38=2052, Resulting Numbers: [2052]
2052,36 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,36 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 #0,0,4
Current State: 36:[46, 46], Operations: ['95-49=46', '54-8=46']
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[54, 54], Operations: ['95-49=46', '8+46=54']
Exploring Operation: 54+54=108, Resulting Numbers: [108]
108,36 unequal: No Solution
Exploring Operation: 54-54=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 54/54=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 54*54=2916, Resulting Numbers: [2916]
2916,36 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:[46, 62], Operations: ['95-49=46', '54+8=62']
Exploring Operation: 46+62=108, Resulting Numbers: [108]
108,36 unequal: No Solution
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 46*62=2852, Resulting Numbers: [2852]
2852,36 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: 36:[95, 8, 5], Operations: ['54-49=5']
Exploring Operation: 8-5=3, Resulting Numbers: [95, 3]
Generated Node #0,4,0: 36:[95, 3] Operation: 8-5=3
Exploring Operation: 95-8=87, Resulting Numbers: [5, 87]
Generated Node #0,4,1: 36:[5, 87] Operation: 95-8=87
Exploring Operation: 8+5=13, Resulting Numbers: [95, 13]
Generated Node #0,4,2: 36:[95, 13] Operation: 8+5=13
Exploring Operation: 95/5=19, Resulting Numbers: [8, 19]
Generated Node #0,4,3: 36:[8, 19] Operation: 95/5=19
Exploring Operation: 95-5=90, Resulting Numbers: [8, 90]
Generated Node #0,4,4: 36:[8, 90] Operation: 95-5=90
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 36:[8, 19], Operations: ['54-49=5', '95/5=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 36:[5, 87], Operations: ['54-49=5', '95-8=87']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 5*87=435, Resulting Numbers: [435]
435,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 36:[8, 90], Operations: ['54-49=5', '95-5=90']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 8*90=720, Resulting Numbers: [720]
720,36 unequal: No Solution
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 36:[95, 3], Operations: ['54-49=5', '8-5=3']
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,36 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 36:[95, 13], Operations: ['54-49=5', '8+5=13']
Exploring Operation: 95*13=1235, Resulting Numbers: [1235]
1235,36 unequal: No Solution
Exploring Operation: 95+13=108, Resulting Numbers: [108]
108,36 unequal: No Solution
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,36 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:[49, 95, 46], Operations: ['54-8=46']
Exploring Operation: 49-46=3, Resulting Numbers: [95, 3]
Generated Node #0,1,0: 36:[95, 3] Operation: 49-46=3
Exploring Operation: 49+95=144, Resulting Numbers: [46, 144]
Generated Node #0,1,1: 36:[46, 144] Operation: 49+95=144
Exploring Operation: 95-46=49, Resulting Numbers: [49, 49]
Generated Node #0,1,2: 36:[49, 49] Operation: 95-46=49
Exploring Operation: 49+46=95, Resulting Numbers: [95, 95]
Generated Node #0,1,3: 36:[95, 95] Operation: 49+46=95
Exploring Operation: 95-49=46, Resulting Numbers: [46, 46]
Generated Node #0,1,4: 36:[46, 46] Operation: 95-49=46
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 36:[46, 46], Operations: ['54-8=46', '95-49=46']
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,36 unequal: No Solution
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[49, 49], Operations: ['54-8=46', '95-46=49']
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,36 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[95, 3], Operations: ['54-8=46', '49-46=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,36 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[46, 144], Operations: ['54-8=46', '49+95=144']
Exploring Operation: 46*144=6624, Resulting Numbers: [6624]
6624,36 unequal: No Solution
Exploring Operation: 46+144=190, Resulting Numbers: [190]
190,36 unequal: No Solution
Exploring Operation: 144-46=98, Resulting Numbers: [98]
98,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[95, 95], Operations: ['54-8=46', '49+46=95']
Exploring Operation: 95/95=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 95*95=9025, Resulting Numbers: [9025]
9025,36 unequal: No Solution
Exploring Operation: 95-95=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 95+95=190, Resulting Numbers: [190]
190,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 36:[54, 95, 41], Operations: ['49-8=41']
Exploring Operation: 54-41=13, Resulting Numbers: [95, 13]
Generated Node #0,3,0: 36:[95, 13] Operation: 54-41=13
Exploring Operation: 54+95=149, Resulting Numbers: [41, 149]
Generated Node #0,3,1: 36:[41, 149] Operation: 54+95=149
Exploring Operation: 54+41=95, Resulting Numbers: [95, 95]
Generated Node #0,3,2: 36:[95, 95] Operation: 54+41=95
Exploring Operation: 95-41=54, Resulting Numbers: [54, 54]
Generated Node #0,3,3: 36:[54, 54] Operation: 95-41=54
Exploring Operation: 95-54=41, Resulting Numbers: [41, 41]
Generated Node #0,3,4: 36:[41, 41] Operation: 95-54=41
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 36:[41, 41], Operations: ['49-8=41', '95-54=41']
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[54, 54], Operations: ['49-8=41', '95-41=54']
Exploring Operation: 54-54=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 54*54=2916, Resulting Numbers: [2916]
2916,36 unequal: No Solution
Exploring Operation: 54+54=108, Resulting Numbers: [108]
108,36 unequal: No Solution
Exploring Operation: 54/54=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 36:[95, 13], Operations: ['49-8=41', '54-41=13']
Exploring Operation: 95*13=1235, Resulting Numbers: [1235]
1235,36 unequal: No Solution
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 95+13=108, Resulting Numbers: [108]
108,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 36:[41, 149], Operations: ['49-8=41', '54+95=149']
Exploring Operation: 149-41=108, Resulting Numbers: [108]
108,36 unequal: No Solution
Exploring Operation: 41+149=190, Resulting Numbers: [190]
190,36 unequal: No Solution
Exploring Operation: 41*149=6109, Resulting Numbers: [6109]
6109,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 36:[95, 95], Operations: ['49-8=41', '54+41=95']
Exploring Operation: 95-95=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 95+95=190, Resulting Numbers: [190]
190,36 unequal: No Solution
Exploring Operation: 95*95=9025, Resulting Numbers: [9025]
9025,36 unequal: No Solution
Exploring Operation: 95/95=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 36:[8, 8], Operations: ['95-54=41', '49-41=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,36 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Moving to Node #0,2,4
Current State: 36:[41, 41], Operations: ['95-54=41', '49-8=41']
Exploring Operation: 41*41=1681, Resulting Numbers: [1681]
1681,36 unequal: No Solution
Exploring Operation: 41+41=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 41/41=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 41-41=0, Resulting Numbers: [0]
0,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[49, 33], Operations: ['95-54=41', '41-8=33']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,36 unequal: No Solution
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[41, 57], Operations: ['95-54=41', '49+8=57']
Exploring Operation: 41*57=2337, Resulting Numbers: [2337]
2337,36 unequal: No Solution
Exploring Operation: 41+57=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[49, 49], Operations: ['95-54=41', '8+41=49']
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,36 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,36 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,36 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
45,
45,
29,
55
] | 84 | [
"45-45=0",
"29+55=84",
"0+84=84"
] | Current State: 84:[45, 45, 29, 55], Operations: []
Exploring Operation: 45-45=0, Resulting Numbers: [29, 55, 0]
Generated Node #2: [29, 55, 0] from Operation: 45-45=0
Current State: 84:[29, 55, 0], Operations: ['45-45=0']
Exploring Operation: 29+55=84, Resulting Numbers: [0, 84]
Generated Node #3: [0, 84] from Operation: 29+55=84
Current State: 84:[0, 84], Operations: ['45-45=0', '29+55=84']
Exploring Operation: 0+84=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[45, 45, 29, 55], Operations: []
Exploring Operation: 29+55=84, Resulting Numbers: [45, 45, 84]
Generated Node #0,0: 84:[45, 45, 84] Operation: 29+55=84
Exploring Operation: 55-45=10, Resulting Numbers: [45, 29, 10]
Generated Node #0,1: 84:[45, 29, 10] Operation: 55-45=10
Exploring Operation: 55-45=10, Resulting Numbers: [45, 29, 10]
Generated Node #0,2: 84:[45, 29, 10] Operation: 55-45=10
Exploring Operation: 55-29=26, Resulting Numbers: [45, 45, 26]
Generated Node #0,3: 84:[45, 45, 26] Operation: 55-29=26
Moving to Node #0,0
Current State: 84:[45, 45, 84], Operations: ['29+55=84']
Exploring Operation: 45-45=0, Resulting Numbers: [84, 0]
Generated Node #0,0,0: 84:[84, 0] Operation: 45-45=0
Exploring Operation: 45/45=1, Resulting Numbers: [84, 1]
Generated Node #0,0,1: 84:[84, 1] Operation: 45/45=1
Exploring Operation: 84-45=39, Resulting Numbers: [45, 39]
Generated Node #0,0,2: 84:[45, 39] Operation: 84-45=39
Exploring Operation: 45+45=90, Resulting Numbers: [84, 90]
Generated Node #0,0,3: 84:[84, 90] Operation: 45+45=90
Moving to Node #0,2
Current State: 84:[45, 29, 10], Operations: ['55-45=10']
Exploring Operation: 29-10=19, Resulting Numbers: [45, 19]
Generated Node #0,2,0: 84:[45, 19] Operation: 29-10=19
Exploring Operation: 29+10=39, Resulting Numbers: [45, 39]
Generated Node #0,2,1: 84:[45, 39] Operation: 29+10=39
Exploring Operation: 45-29=16, Resulting Numbers: [10, 16]
Generated Node #0,2,2: 84:[10, 16] Operation: 45-29=16
Exploring Operation: 45-10=35, Resulting Numbers: [29, 35]
Generated Node #0,2,3: 84:[29, 35] Operation: 45-10=35
Moving to Node #0,1
Current State: 84:[45, 29, 10], Operations: ['55-45=10']
Exploring Operation: 45-10=35, Resulting Numbers: [29, 35]
Generated Node #0,1,0: 84:[29, 35] Operation: 45-10=35
Exploring Operation: 29+10=39, Resulting Numbers: [45, 39]
Generated Node #0,1,1: 84:[45, 39] Operation: 29+10=39
Exploring Operation: 29-10=19, Resulting Numbers: [45, 19]
Generated Node #0,1,2: 84:[45, 19] Operation: 29-10=19
Exploring Operation: 45-29=16, Resulting Numbers: [10, 16]
Generated Node #0,1,3: 84:[10, 16] Operation: 45-29=16
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[10, 16], Operations: ['55-45=10', '45-29=16']
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,84 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 #0,1,2
Current State: 84:[45, 19], Operations: ['55-45=10', '29-10=19']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,84 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 #0,1,1
Current State: 84:[45, 39], Operations: ['55-45=10', '29+10=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[45, 45, 29, 55], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [45, 29, 10]
Generated Node #0,1: 84:[45, 29, 10] Operation: 55-45=10
Moving to Node #0,1
Current State: 84:[45, 29, 10], Operations: ['55-45=10']
Exploring Operation: 29+10=39, Resulting Numbers: [45, 39]
Generated Node #0,1,1: 84:[45, 39] Operation: 29+10=39
Moving to Node #0,1,1
Current State: 84:[45, 39], Operations: ['55-45=10', '29+10=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_4 | mult_heuristic |
[
39,
64,
80,
10
] | 13 | [
"39+64=103",
"80+10=90",
"103-90=13"
] | Current State: 13:[39, 64, 80, 10], Operations: []
Exploring Operation: 39+64=103, Resulting Numbers: [80, 10, 103]
Generated Node #2: [80, 10, 103] from Operation: 39+64=103
Current State: 13:[80, 10, 103], Operations: ['39+64=103']
Exploring Operation: 80+10=90, Resulting Numbers: [103, 90]
Generated Node #3: [103, 90] from Operation: 80+10=90
Current State: 13:[103, 90], Operations: ['39+64=103', '80+10=90']
Exploring Operation: 103-90=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[39, 64, 80, 10], Operations: []
Exploring Operation: 64-39=25, Resulting Numbers: [80, 10, 25]
Generated Node #0,0: 13:[80, 10, 25] Operation: 64-39=25
Exploring Operation: 80-39=41, Resulting Numbers: [64, 10, 41]
Generated Node #0,1: 13:[64, 10, 41] Operation: 80-39=41
Exploring Operation: 80-64=16, Resulting Numbers: [39, 10, 16]
Generated Node #0,2: 13:[39, 10, 16] Operation: 80-64=16
Moving to Node #0,2
Current State: 13:[39, 10, 16], Operations: ['80-64=16']
Exploring Operation: 16-10=6, Resulting Numbers: [39, 6]
Generated Node #0,2,0: 13:[39, 6] Operation: 16-10=6
Exploring Operation: 39-10=29, Resulting Numbers: [16, 29]
Generated Node #0,2,1: 13:[16, 29] Operation: 39-10=29
Exploring Operation: 39-16=23, Resulting Numbers: [10, 23]
Generated Node #0,2,2: 13:[10, 23] Operation: 39-16=23
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[10, 23], Operations: ['80-64=16', '39-16=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[39, 64, 80, 10], Operations: []
Exploring Operation: 80-64=16, Resulting Numbers: [39, 10, 16]
Generated Node #0,2: 13:[39, 10, 16] Operation: 80-64=16
Moving to Node #0,2
Current State: 13:[39, 10, 16], Operations: ['80-64=16']
Exploring Operation: 39-16=23, Resulting Numbers: [10, 23]
Generated Node #0,2,2: 13:[10, 23] Operation: 39-16=23
Moving to Node #0,2,2
Current State: 13:[10, 23], Operations: ['80-64=16', '39-16=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
2,
52,
38,
29
] | 63 | [
"2+52=54",
"38-29=9",
"54+9=63"
] | Current State: 63:[2, 52, 38, 29], Operations: []
Exploring Operation: 2+52=54, Resulting Numbers: [38, 29, 54]
Generated Node #2: [38, 29, 54] from Operation: 2+52=54
Current State: 63:[38, 29, 54], Operations: ['2+52=54']
Exploring Operation: 38-29=9, Resulting Numbers: [54, 9]
Generated Node #3: [54, 9] from Operation: 38-29=9
Current State: 63:[54, 9], Operations: ['2+52=54', '38-29=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[2, 52, 38, 29], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [2, 52, 9]
Generated Node #0,0: 63:[2, 52, 9] Operation: 38-29=9
Exploring Operation: 52-38=14, Resulting Numbers: [2, 29, 14]
Generated Node #0,1: 63:[2, 29, 14] Operation: 52-38=14
Moving to Node #0,0
Current State: 63:[2, 52, 9], Operations: ['38-29=9']
Exploring Operation: 52/2=26, Resulting Numbers: [9, 26]
Generated Node #0,0,0: 63:[9, 26] Operation: 52/2=26
Exploring Operation: 52+9=61, Resulting Numbers: [2, 61]
Generated Node #0,0,1: 63:[2, 61] Operation: 52+9=61
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[2, 61], Operations: ['38-29=9', '52+9=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,63 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[2, 52, 38, 29], Operations: []
Exploring Operation: 38-29=9, Resulting Numbers: [2, 52, 9]
Generated Node #0,0: 63:[2, 52, 9] Operation: 38-29=9
Moving to Node #0,0
Current State: 63:[2, 52, 9], Operations: ['38-29=9']
Exploring Operation: 52+9=61, Resulting Numbers: [2, 61]
Generated Node #0,0,1: 63:[2, 61] Operation: 52+9=61
Moving to Node #0,0,1
Current State: 63:[2, 61], Operations: ['38-29=9', '52+9=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
3,
17,
34,
90
] | 47 | [
"90/3=30",
"34-17=17",
"30+17=47"
] | Current State: 47:[3, 17, 34, 90], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [17, 34, 30]
Generated Node #2: [17, 34, 30] from Operation: 90/3=30
Current State: 47:[17, 34, 30], Operations: ['90/3=30']
Exploring Operation: 34-17=17, Resulting Numbers: [30, 17]
Generated Node #3: [30, 17] from Operation: 34-17=17
Current State: 47:[30, 17], Operations: ['90/3=30', '34-17=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[3, 17, 34, 90], Operations: []
Exploring Operation: 3+17=20, Resulting Numbers: [34, 90, 20]
Generated Node #0,0: 47:[34, 90, 20] Operation: 3+17=20
Exploring Operation: 90/3=30, Resulting Numbers: [17, 34, 30]
Generated Node #0,1: 47:[17, 34, 30] Operation: 90/3=30
Exploring Operation: 3*17=51, Resulting Numbers: [34, 90, 51]
Generated Node #0,2: 47:[34, 90, 51] Operation: 3*17=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[17, 34, 30], Operations: ['90/3=30']
Exploring Operation: 17+34=51, Resulting Numbers: [30, 51]
Generated Node #0,1,0: 47:[30, 51] Operation: 17+34=51
Exploring Operation: 34-17=17, Resulting Numbers: [30, 17]
Generated Node #0,1,1: 47:[30, 17] Operation: 34-17=17
Exploring Operation: 17+30=47, Resulting Numbers: [34, 47]
Generated Node #0,1,2: 47:[34, 47] Operation: 17+30=47
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[34, 47], Operations: ['90/3=30', '17+30=47']
Exploring Operation: 34+47=81, Resulting Numbers: [81]
81,47 unequal: No Solution
Exploring Operation: 34*47=1598, Resulting Numbers: [1598]
1598,47 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,47 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 #0,1,0
Current State: 47:[30, 51], Operations: ['90/3=30', '17+34=51']
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,47 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,47 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:[30, 17], Operations: ['90/3=30', '34-17=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[3, 17, 34, 90], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [17, 34, 30]
Generated Node #0,1: 47:[17, 34, 30] Operation: 90/3=30
Moving to Node #0,1
Current State: 47:[17, 34, 30], Operations: ['90/3=30']
Exploring Operation: 34-17=17, Resulting Numbers: [30, 17]
Generated Node #0,1,1: 47:[30, 17] Operation: 34-17=17
Moving to Node #0,1,1
Current State: 47:[30, 17], Operations: ['90/3=30', '34-17=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
23,
70,
46,
58
] | 35 | [
"70-23=47",
"58-46=12",
"47-12=35"
] | Current State: 35:[23, 70, 46, 58], Operations: []
Exploring Operation: 70-23=47, Resulting Numbers: [46, 58, 47]
Generated Node #2: [46, 58, 47] from Operation: 70-23=47
Current State: 35:[46, 58, 47], Operations: ['70-23=47']
Exploring Operation: 58-46=12, Resulting Numbers: [47, 12]
Generated Node #3: [47, 12] from Operation: 58-46=12
Current State: 35:[47, 12], Operations: ['70-23=47', '58-46=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[23, 70, 46, 58], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [23, 58, 24]
Generated Node #0,0: 35:[23, 58, 24] Operation: 70-46=24
Exploring Operation: 58-46=12, Resulting Numbers: [23, 70, 12]
Generated Node #0,1: 35:[23, 70, 12] Operation: 58-46=12
Exploring Operation: 70-23=47, Resulting Numbers: [46, 58, 47]
Generated Node #0,2: 35:[46, 58, 47] Operation: 70-23=47
Exploring Operation: 70-58=12, Resulting Numbers: [23, 46, 12]
Generated Node #0,3: 35:[23, 46, 12] Operation: 70-58=12
Exploring Operation: 58-23=35, Resulting Numbers: [70, 46, 35]
Generated Node #0,4: 35:[70, 46, 35] Operation: 58-23=35
Moving to Node #0,3
Current State: 35:[23, 46, 12], Operations: ['70-58=12']
Exploring Operation: 23-12=11, Resulting Numbers: [46, 11]
Generated Node #0,3,0: 35:[46, 11] Operation: 23-12=11
Exploring Operation: 46/23=2, Resulting Numbers: [12, 2]
Generated Node #0,3,1: 35:[12, 2] Operation: 46/23=2
Exploring Operation: 23+12=35, Resulting Numbers: [46, 35]
Generated Node #0,3,2: 35:[46, 35] Operation: 23+12=35
Exploring Operation: 46-12=34, Resulting Numbers: [23, 34]
Generated Node #0,3,3: 35:[23, 34] Operation: 46-12=34
Exploring Operation: 46-23=23, Resulting Numbers: [12, 23]
Generated Node #0,3,4: 35:[12, 23] Operation: 46-23=23
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[12, 2], Operations: ['70-58=12', '46/23=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,35 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[46, 35], Operations: ['70-58=12', '23+12=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,35 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[23, 34], Operations: ['70-58=12', '46-12=34']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 23*34=782, Resulting Numbers: [782]
782,35 unequal: No Solution
Exploring Operation: 23+34=57, Resulting Numbers: [57]
57,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 35:[46, 11], Operations: ['70-58=12', '23-12=11']
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 46*11=506, Resulting Numbers: [506]
506,35 unequal: No Solution
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[23, 70, 46, 58], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [23, 46, 12]
Generated Node #0,3: 35:[23, 46, 12] Operation: 70-58=12
Moving to Node #0,3
Current State: 35:[23, 46, 12], Operations: ['70-58=12']
Exploring Operation: 23-12=11, Resulting Numbers: [46, 11]
Generated Node #0,3,0: 35:[46, 11] Operation: 23-12=11
Moving to Node #0,3,0
Current State: 35:[46, 11], Operations: ['70-58=12', '23-12=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
41,
12,
61,
77
] | 85 | [
"41+12=53",
"61+77=138",
"138-53=85"
] | Current State: 85:[41, 12, 61, 77], Operations: []
Exploring Operation: 41+12=53, Resulting Numbers: [61, 77, 53]
Generated Node #2: [61, 77, 53] from Operation: 41+12=53
Current State: 85:[61, 77, 53], Operations: ['41+12=53']
Exploring Operation: 61+77=138, Resulting Numbers: [53, 138]
Generated Node #3: [53, 138] from Operation: 61+77=138
Current State: 85:[53, 138], Operations: ['41+12=53', '61+77=138']
Exploring Operation: 138-53=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[41, 12, 61, 77], Operations: []
Exploring Operation: 41-12=29, Resulting Numbers: [61, 77, 29]
Generated Node #0,0: 85:[61, 77, 29] Operation: 41-12=29
Exploring Operation: 77-61=16, Resulting Numbers: [41, 12, 16]
Generated Node #0,1: 85:[41, 12, 16] Operation: 77-61=16
Exploring Operation: 41+61=102, Resulting Numbers: [12, 77, 102]
Generated Node #0,2: 85:[12, 77, 102] Operation: 41+61=102
Exploring Operation: 61-41=20, Resulting Numbers: [12, 77, 20]
Generated Node #0,3: 85:[12, 77, 20] Operation: 61-41=20
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[12, 77, 20], Operations: ['61-41=20']
Exploring Operation: 20-12=8, Resulting Numbers: [77, 8]
Generated Node #0,3,0: 85:[77, 8] Operation: 20-12=8
Exploring Operation: 77-12=65, Resulting Numbers: [20, 65]
Generated Node #0,3,1: 85:[20, 65] Operation: 77-12=65
Exploring Operation: 12+77=89, Resulting Numbers: [20, 89]
Generated Node #0,3,2: 85:[20, 89] Operation: 12+77=89
Exploring Operation: 77+20=97, Resulting Numbers: [12, 97]
Generated Node #0,3,3: 85:[12, 97] Operation: 77+20=97
Moving to Node #0,3,2
Current State: 85:[20, 89], Operations: ['61-41=20', '12+77=89']
Exploring Operation: 20+89=109, Resulting Numbers: [109]
109,85 unequal: No Solution
Exploring Operation: 20*89=1780, Resulting Numbers: [1780]
1780,85 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,85 unequal: No Solution
Moving to Node #0,3,0
Current State: 85:[77, 8], Operations: ['61-41=20', '20-12=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[41, 12, 61, 77], Operations: []
Exploring Operation: 61-41=20, Resulting Numbers: [12, 77, 20]
Generated Node #0,3: 85:[12, 77, 20] Operation: 61-41=20
Moving to Node #0,3
Current State: 85:[12, 77, 20], Operations: ['61-41=20']
Exploring Operation: 20-12=8, Resulting Numbers: [77, 8]
Generated Node #0,3,0: 85:[77, 8] Operation: 20-12=8
Moving to Node #0,3,0
Current State: 85:[77, 8], Operations: ['61-41=20', '20-12=8']
Exploring Operation: 77+8=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
31,
91,
83,
33
] | 87 | [
"33-31=2",
"91+83=174",
"174/2=87"
] | Current State: 87:[31, 91, 83, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [91, 83, 2]
Generated Node #2: [91, 83, 2] from Operation: 33-31=2
Current State: 87:[91, 83, 2], Operations: ['33-31=2']
Exploring Operation: 91+83=174, Resulting Numbers: [2, 174]
Generated Node #3: [2, 174] from Operation: 91+83=174
Current State: 87:[2, 174], Operations: ['33-31=2', '91+83=174']
Exploring Operation: 174/2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[31, 91, 83, 33], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [91, 83, 2]
Generated Node #0,0: 87:[91, 83, 2] Operation: 33-31=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[91, 83, 2], Operations: ['33-31=2']
Exploring Operation: 91-83=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 87:[2, 8] Operation: 91-83=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[2, 8], Operations: ['33-31=2', '91-83=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,87 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 |
[
5,
22,
60,
80
] | 88 | [
"80-60=20",
"20/5=4",
"22*4=88"
] | Current State: 88:[5, 22, 60, 80], Operations: []
Exploring Operation: 80-60=20, Resulting Numbers: [5, 22, 20]
Generated Node #2: [5, 22, 20] from Operation: 80-60=20
Current State: 88:[5, 22, 20], Operations: ['80-60=20']
Exploring Operation: 20/5=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 20/5=4
Current State: 88:[22, 4], Operations: ['80-60=20', '20/5=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[5, 22, 60, 80], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [22, 80, 12]
Generated Node #0,0: 88:[22, 80, 12] Operation: 60/5=12
Exploring Operation: 60-22=38, Resulting Numbers: [5, 80, 38]
Generated Node #0,1: 88:[5, 80, 38] Operation: 60-22=38
Exploring Operation: 80-60=20, Resulting Numbers: [5, 22, 20]
Generated Node #0,2: 88:[5, 22, 20] Operation: 80-60=20
Exploring Operation: 60-5=55, Resulting Numbers: [22, 80, 55]
Generated Node #0,3: 88:[22, 80, 55] Operation: 60-5=55
Exploring Operation: 22+60=82, Resulting Numbers: [5, 80, 82]
Generated Node #0,4: 88:[5, 80, 82] Operation: 22+60=82
Moving to Node #0,2
Current State: 88:[5, 22, 20], Operations: ['80-60=20']
Exploring Operation: 22+20=42, Resulting Numbers: [5, 42]
Generated Node #0,2,0: 88:[5, 42] Operation: 22+20=42
Exploring Operation: 20-5=15, Resulting Numbers: [22, 15]
Generated Node #0,2,1: 88:[22, 15] Operation: 20-5=15
Exploring Operation: 20/5=4, Resulting Numbers: [22, 4]
Generated Node #0,2,2: 88:[22, 4] Operation: 20/5=4
Exploring Operation: 5+20=25, Resulting Numbers: [22, 25]
Generated Node #0,2,3: 88:[22, 25] Operation: 5+20=25
Exploring Operation: 22-20=2, Resulting Numbers: [5, 2]
Generated Node #0,2,4: 88:[5, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[22, 4], Operations: ['80-60=20', '20/5=4']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[5, 22, 60, 80], Operations: []
Exploring Operation: 80-60=20, Resulting Numbers: [5, 22, 20]
Generated Node #0,2: 88:[5, 22, 20] Operation: 80-60=20
Moving to Node #0,2
Current State: 88:[5, 22, 20], Operations: ['80-60=20']
Exploring Operation: 20/5=4, Resulting Numbers: [22, 4]
Generated Node #0,2,2: 88:[22, 4] Operation: 20/5=4
Moving to Node #0,2,2
Current State: 88:[22, 4], Operations: ['80-60=20', '20/5=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
41,
73,
26,
41
] | 46 | [
"41/41=1",
"73-26=47",
"47-1=46"
] | Current State: 46:[41, 73, 26, 41], Operations: []
Exploring Operation: 41/41=1, Resulting Numbers: [73, 26, 1]
Generated Node #2: [73, 26, 1] from Operation: 41/41=1
Current State: 46:[73, 26, 1], Operations: ['41/41=1']
Exploring Operation: 73-26=47, Resulting Numbers: [1, 47]
Generated Node #3: [1, 47] from Operation: 73-26=47
Current State: 46:[1, 47], Operations: ['41/41=1', '73-26=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[41, 73, 26, 41], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [41, 41, 47]
Generated Node #0,0: 46:[41, 41, 47] Operation: 73-26=47
Moving to Node #0,0
Current State: 46:[41, 41, 47], Operations: ['73-26=47']
Exploring Operation: 41/41=1, Resulting Numbers: [47, 1]
Generated Node #0,0,0: 46:[47, 1] Operation: 41/41=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[47, 1], Operations: ['73-26=47', '41/41=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[41, 73, 26, 41], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [41, 41, 47]
Generated Node #0,0: 46:[41, 41, 47] Operation: 73-26=47
Moving to Node #0,0
Current State: 46:[41, 41, 47], Operations: ['73-26=47']
Exploring Operation: 41/41=1, Resulting Numbers: [47, 1]
Generated Node #0,0,0: 46:[47, 1] Operation: 41/41=1
Moving to Node #0,0,0
Current State: 46:[47, 1], Operations: ['73-26=47', '41/41=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
57,
46,
48,
84
] | 72 | [
"57*48=2736",
"84-46=38",
"2736/38=72"
] | Current State: 72:[57, 46, 48, 84], Operations: []
Exploring Operation: 57*48=2736, Resulting Numbers: [46, 84, 2736]
Generated Node #2: [46, 84, 2736] from Operation: 57*48=2736
Current State: 72:[46, 84, 2736], Operations: ['57*48=2736']
Exploring Operation: 84-46=38, Resulting Numbers: [2736, 38]
Generated Node #3: [2736, 38] from Operation: 84-46=38
Current State: 72:[2736, 38], Operations: ['57*48=2736', '84-46=38']
Exploring Operation: 2736/38=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[57, 46, 48, 84], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [46, 48, 27]
Generated Node #0,0: 72:[46, 48, 27] Operation: 84-57=27
Exploring Operation: 57-46=11, Resulting Numbers: [48, 84, 11]
Generated Node #0,1: 72:[48, 84, 11] Operation: 57-46=11
Exploring Operation: 84-48=36, Resulting Numbers: [57, 46, 36]
Generated Node #0,2: 72:[57, 46, 36] Operation: 84-48=36
Exploring Operation: 57-48=9, Resulting Numbers: [46, 84, 9]
Generated Node #0,3: 72:[46, 84, 9] Operation: 57-48=9
Moving to Node #0,3
Current State: 72:[46, 84, 9], Operations: ['57-48=9']
Exploring Operation: 84-46=38, Resulting Numbers: [9, 38]
Generated Node #0,3,0: 72:[9, 38] Operation: 84-46=38
Exploring Operation: 84-9=75, Resulting Numbers: [46, 75]
Generated Node #0,3,1: 72:[46, 75] Operation: 84-9=75
Exploring Operation: 46+9=55, Resulting Numbers: [84, 55]
Generated Node #0,3,2: 72:[84, 55] Operation: 46+9=55
Exploring Operation: 46-9=37, Resulting Numbers: [84, 37]
Generated Node #0,3,3: 72:[84, 37] Operation: 46-9=37
Moving to Node #0,1
Current State: 72:[48, 84, 11], Operations: ['57-46=11']
Exploring Operation: 84-11=73, Resulting Numbers: [48, 73]
Generated Node #0,1,0: 72:[48, 73] Operation: 84-11=73
Exploring Operation: 84-48=36, Resulting Numbers: [11, 36]
Generated Node #0,1,1: 72:[11, 36] Operation: 84-48=36
Exploring Operation: 48+11=59, Resulting Numbers: [84, 59]
Generated Node #0,1,2: 72:[84, 59] Operation: 48+11=59
Exploring Operation: 48-11=37, Resulting Numbers: [84, 37]
Generated Node #0,1,3: 72:[84, 37] Operation: 48-11=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[11, 36], Operations: ['57-46=11', '84-48=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,72 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[48, 73], Operations: ['57-46=11', '84-11=73']
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,72 unequal: No Solution
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 72:[84, 37], Operations: ['57-46=11', '48-11=37']
Exploring Operation: 84*37=3108, Resulting Numbers: [3108]
3108,72 unequal: No Solution
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 84+37=121, Resulting Numbers: [121]
121,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[84, 59], Operations: ['57-46=11', '48+11=59']
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 84*59=4956, Resulting Numbers: [4956]
4956,72 unequal: No Solution
Exploring Operation: 84+59=143, Resulting Numbers: [143]
143,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 72:[46, 48, 27], Operations: ['84-57=27']
Exploring Operation: 48+27=75, Resulting Numbers: [46, 75]
Generated Node #0,0,0: 72:[46, 75] Operation: 48+27=75
Exploring Operation: 48-46=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 72:[27, 2] Operation: 48-46=2
Exploring Operation: 46+27=73, Resulting Numbers: [48, 73]
Generated Node #0,0,2: 72:[48, 73] Operation: 46+27=73
Exploring Operation: 46-27=19, Resulting Numbers: [48, 19]
Generated Node #0,0,3: 72:[48, 19] Operation: 46-27=19
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[27, 2], Operations: ['84-57=27', '48-46=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[46, 75], Operations: ['84-57=27', '48+27=75']
Exploring Operation: 46*75=3450, Resulting Numbers: [3450]
3450,72 unequal: No Solution
Exploring Operation: 46+75=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[48, 73], Operations: ['84-57=27', '46+27=73']
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,72 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 72:[48, 19], Operations: ['84-57=27', '46-27=19']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,72 unequal: No Solution
Exploring Operation: 48*19=912, Resulting Numbers: [912]
912,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 72:[57, 46, 36], Operations: ['84-48=36']
Exploring Operation: 46-36=10, Resulting Numbers: [57, 10]
Generated Node #0,2,0: 72:[57, 10] Operation: 46-36=10
Exploring Operation: 57-46=11, Resulting Numbers: [36, 11]
Generated Node #0,2,1: 72:[36, 11] Operation: 57-46=11
Exploring Operation: 46+36=82, Resulting Numbers: [57, 82]
Generated Node #0,2,2: 72:[57, 82] Operation: 46+36=82
Exploring Operation: 57-36=21, Resulting Numbers: [46, 21]
Generated Node #0,2,3: 72:[46, 21] Operation: 57-36=21
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[36, 11], Operations: ['84-48=36', '57-46=11']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,72 unequal: No Solution
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[46, 21], Operations: ['84-48=36', '57-36=21']
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 46+21=67, Resulting Numbers: [67]
67,72 unequal: No Solution
Exploring Operation: 46*21=966, Resulting Numbers: [966]
966,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[57, 10], Operations: ['84-48=36', '46-36=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,72 unequal: No Solution
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[57, 82], Operations: ['84-48=36', '46+36=82']
Exploring Operation: 57*82=4674, Resulting Numbers: [4674]
4674,72 unequal: No Solution
Exploring Operation: 57+82=139, Resulting Numbers: [139]
139,72 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 72:[9, 38], Operations: ['57-48=9', '84-46=38']
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,72 unequal: No Solution
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[84, 37], Operations: ['57-48=9', '46-9=37']
Exploring Operation: 84+37=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 84*37=3108, Resulting Numbers: [3108]
3108,72 unequal: No Solution
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[46, 75], Operations: ['57-48=9', '84-9=75']
Exploring Operation: 46+75=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 75-46=29, Resulting Numbers: [29]
29,72 unequal: No Solution
Exploring Operation: 46*75=3450, Resulting Numbers: [3450]
3450,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[84, 55], Operations: ['57-48=9', '46+9=55']
Exploring Operation: 84*55=4620, Resulting Numbers: [4620]
4620,72 unequal: No Solution
Exploring Operation: 84+55=139, Resulting Numbers: [139]
139,72 unequal: No Solution
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,72 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
90,
82,
22,
31
] | 28 | [
"82*31=2542",
"2542-22=2520",
"2520/90=28"
] | Current State: 28:[90, 82, 22, 31], Operations: []
Exploring Operation: 82*31=2542, Resulting Numbers: [90, 22, 2542]
Generated Node #2: [90, 22, 2542] from Operation: 82*31=2542
Current State: 28:[90, 22, 2542], Operations: ['82*31=2542']
Exploring Operation: 2542-22=2520, Resulting Numbers: [90, 2520]
Generated Node #3: [90, 2520] from Operation: 2542-22=2520
Current State: 28:[90, 2520], Operations: ['82*31=2542', '2542-22=2520']
Exploring Operation: 2520/90=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[90, 82, 22, 31], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [82, 22, 59]
Generated Node #0,0: 28:[82, 22, 59] Operation: 90-31=59
Exploring Operation: 90-22=68, Resulting Numbers: [82, 31, 68]
Generated Node #0,1: 28:[82, 31, 68] Operation: 90-22=68
Exploring Operation: 82-31=51, Resulting Numbers: [90, 22, 51]
Generated Node #0,2: 28:[90, 22, 51] Operation: 82-31=51
Exploring Operation: 82-22=60, Resulting Numbers: [90, 31, 60]
Generated Node #0,3: 28:[90, 31, 60] Operation: 82-22=60
Exploring Operation: 90-82=8, Resulting Numbers: [22, 31, 8]
Generated Node #0,4: 28:[22, 31, 8] Operation: 90-82=8
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[22, 31, 8], Operations: ['90-82=8']
Exploring Operation: 22-8=14, Resulting Numbers: [31, 14]
Generated Node #0,4,0: 28:[31, 14] Operation: 22-8=14
Exploring Operation: 31-22=9, Resulting Numbers: [8, 9]
Generated Node #0,4,1: 28:[8, 9] Operation: 31-22=9
Exploring Operation: 31-8=23, Resulting Numbers: [22, 23]
Generated Node #0,4,2: 28:[22, 23] Operation: 31-8=23
Exploring Operation: 22+8=30, Resulting Numbers: [31, 30]
Generated Node #0,4,3: 28:[31, 30] Operation: 22+8=30
Exploring Operation: 31+8=39, Resulting Numbers: [22, 39]
Generated Node #0,4,4: 28:[22, 39] Operation: 31+8=39
Moving to Node #0,4,0
Current State: 28:[31, 14], Operations: ['90-82=8', '22-8=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,28 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Moving to Node #0,4,1
Current State: 28:[8, 9], Operations: ['90-82=8', '31-22=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,28 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Moving to Node #0,4,3
Current State: 28:[31, 30], Operations: ['90-82=8', '22+8=30']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,28 unequal: No Solution
Moving to Node #0,4,2
Current State: 28:[22, 23], Operations: ['90-82=8', '31-8=23']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,28 unequal: No Solution
Moving to Node #0,4,4
Current State: 28:[22, 39], Operations: ['90-82=8', '31+8=39']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 22+39=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 22*39=858, Resulting Numbers: [858]
858,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[82, 22, 59], Operations: ['90-31=59']
Exploring Operation: 59-22=37, Resulting Numbers: [82, 37]
Generated Node #0,0,0: 28:[82, 37] Operation: 59-22=37
Exploring Operation: 22+59=81, Resulting Numbers: [82, 81]
Generated Node #0,0,1: 28:[82, 81] Operation: 22+59=81
Exploring Operation: 82+22=104, Resulting Numbers: [59, 104]
Generated Node #0,0,2: 28:[59, 104] Operation: 82+22=104
Exploring Operation: 82-59=23, Resulting Numbers: [22, 23]
Generated Node #0,0,3: 28:[22, 23] Operation: 82-59=23
Exploring Operation: 82-22=60, Resulting Numbers: [59, 60]
Generated Node #0,0,4: 28:[59, 60] Operation: 82-22=60
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 28:[22, 23], Operations: ['90-31=59', '82-59=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,28 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[82, 37], Operations: ['90-31=59', '59-22=37']
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 28:[59, 60], Operations: ['90-31=59', '82-22=60']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 59*60=3540, Resulting Numbers: [3540]
3540,28 unequal: No Solution
Exploring Operation: 59+60=119, Resulting Numbers: [119]
119,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 28:[82, 81], Operations: ['90-31=59', '22+59=81']
Exploring Operation: 82+81=163, Resulting Numbers: [163]
163,28 unequal: No Solution
Exploring Operation: 82*81=6642, Resulting Numbers: [6642]
6642,28 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[59, 104], Operations: ['90-31=59', '82+22=104']
Exploring Operation: 59+104=163, Resulting Numbers: [163]
163,28 unequal: No Solution
Exploring Operation: 59*104=6136, Resulting Numbers: [6136]
6136,28 unequal: No Solution
Exploring Operation: 104-59=45, Resulting Numbers: [45]
45,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[90, 22, 51], Operations: ['82-31=51']
Exploring Operation: 90-51=39, Resulting Numbers: [22, 39]
Generated Node #0,2,0: 28:[22, 39] Operation: 90-51=39
Exploring Operation: 22+51=73, Resulting Numbers: [90, 73]
Generated Node #0,2,1: 28:[90, 73] Operation: 22+51=73
Exploring Operation: 51-22=29, Resulting Numbers: [90, 29]
Generated Node #0,2,2: 28:[90, 29] Operation: 51-22=29
Exploring Operation: 90+22=112, Resulting Numbers: [51, 112]
Generated Node #0,2,3: 28:[51, 112] Operation: 90+22=112
Exploring Operation: 90-22=68, Resulting Numbers: [51, 68]
Generated Node #0,2,4: 28:[51, 68] Operation: 90-22=68
Moving to Node #0,2,0
Current State: 28:[22, 39], Operations: ['82-31=51', '90-51=39']
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 22+39=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 22*39=858, Resulting Numbers: [858]
858,28 unequal: No Solution
Moving to Node #0,2,4
Current State: 28:[51, 68], Operations: ['82-31=51', '90-22=68']
Exploring Operation: 51*68=3468, Resulting Numbers: [3468]
3468,28 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 51+68=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Moving to Node #0,2,2
Current State: 28:[90, 29], Operations: ['82-31=51', '51-22=29']
Exploring Operation: 90+29=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 90*29=2610, Resulting Numbers: [2610]
2610,28 unequal: No Solution
Moving to Node #0,2,1
Current State: 28:[90, 73], Operations: ['82-31=51', '22+51=73']
Exploring Operation: 90-73=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 90*73=6570, Resulting Numbers: [6570]
6570,28 unequal: No Solution
Exploring Operation: 90+73=163, Resulting Numbers: [163]
163,28 unequal: No Solution
Moving to Node #0,2,3
Current State: 28:[51, 112], Operations: ['82-31=51', '90+22=112']
Exploring Operation: 51+112=163, Resulting Numbers: [163]
163,28 unequal: No Solution
Exploring Operation: 51*112=5712, Resulting Numbers: [5712]
5712,28 unequal: No Solution
Exploring Operation: 112-51=61, Resulting Numbers: [61]
61,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[82, 31, 68], Operations: ['90-22=68']
Exploring Operation: 68-31=37, Resulting Numbers: [82, 37]
Generated Node #0,1,0: 28:[82, 37] Operation: 68-31=37
Exploring Operation: 82-68=14, Resulting Numbers: [31, 14]
Generated Node #0,1,1: 28:[31, 14] Operation: 82-68=14
Exploring Operation: 82-31=51, Resulting Numbers: [68, 51]
Generated Node #0,1,2: 28:[68, 51] Operation: 82-31=51
Exploring Operation: 82+68=150, Resulting Numbers: [31, 150]
Generated Node #0,1,3: 28:[31, 150] Operation: 82+68=150
Exploring Operation: 82+31=113, Resulting Numbers: [68, 113]
Generated Node #0,1,4: 28:[68, 113] Operation: 82+31=113
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[31, 14], Operations: ['90-22=68', '82-68=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,28 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 28:[82, 37], Operations: ['90-22=68', '68-31=37']
Exploring Operation: 82+37=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 82*37=3034, Resulting Numbers: [3034]
3034,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[68, 51], Operations: ['90-22=68', '82-31=51']
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,28 unequal: No Solution
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,28 unequal: No Solution
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 28:[31, 150], Operations: ['90-22=68', '82+68=150']
Exploring Operation: 150-31=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Exploring Operation: 31*150=4650, Resulting Numbers: [4650]
4650,28 unequal: No Solution
Exploring Operation: 31+150=181, Resulting Numbers: [181]
181,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 28:[68, 113], Operations: ['90-22=68', '82+31=113']
Exploring Operation: 113-68=45, Resulting Numbers: [45]
45,28 unequal: No Solution
Exploring Operation: 68+113=181, Resulting Numbers: [181]
181,28 unequal: No Solution
Exploring Operation: 68*113=7684, Resulting Numbers: [7684]
7684,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[90, 31, 60], Operations: ['82-22=60']
Exploring Operation: 60-31=29, Resulting Numbers: [90, 29]
Generated Node #0,3,0: 28:[90, 29] Operation: 60-31=29
Exploring Operation: 90-31=59, Resulting Numbers: [60, 59]
Generated Node #0,3,1: 28:[60, 59] Operation: 90-31=59
Exploring Operation: 90+60=150, Resulting Numbers: [31, 150]
Generated Node #0,3,2: 28:[31, 150] Operation: 90+60=150
Exploring Operation: 90-60=30, Resulting Numbers: [31, 30]
Generated Node #0,3,3: 28:[31, 30] Operation: 90-60=30
Exploring Operation: 90+31=121, Resulting Numbers: [60, 121]
Generated Node #0,3,4: 28:[60, 121] Operation: 90+31=121
Moving to Node #0,3,3
Current State: 28:[31, 30], Operations: ['82-22=60', '90-60=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,28 unequal: No Solution
Moving to Node #0,3,1
Current State: 28:[60, 59], Operations: ['82-22=60', '90-31=59']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 60*59=3540, Resulting Numbers: [3540]
3540,28 unequal: No Solution
Exploring Operation: 60+59=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Moving to Node #0,3,0
Current State: 28:[90, 29], Operations: ['82-22=60', '60-31=29']
Exploring Operation: 90*29=2610, Resulting Numbers: [2610]
2610,28 unequal: No Solution
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 90+29=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[31, 150], Operations: ['82-22=60', '90+60=150']
Exploring Operation: 31*150=4650, Resulting Numbers: [4650]
4650,28 unequal: No Solution
Exploring Operation: 150-31=119, Resulting Numbers: [119]
119,28 unequal: No Solution
Exploring Operation: 31+150=181, Resulting Numbers: [181]
181,28 unequal: No Solution
Moving to Node #0,3,4
Current State: 28:[60, 121], Operations: ['82-22=60', '90+31=121']
Exploring Operation: 60*121=7260, Resulting Numbers: [7260]
7260,28 unequal: No Solution
Exploring Operation: 121-60=61, Resulting Numbers: [61]
61,28 unequal: No Solution
Exploring Operation: 60+121=181, Resulting Numbers: [181]
181,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
3,
57,
39,
24
] | 84 | [
"3*39=117",
"57-24=33",
"117-33=84"
] | Current State: 84:[3, 57, 39, 24], Operations: []
Exploring Operation: 3*39=117, Resulting Numbers: [57, 24, 117]
Generated Node #2: [57, 24, 117] from Operation: 3*39=117
Current State: 84:[57, 24, 117], Operations: ['3*39=117']
Exploring Operation: 57-24=33, Resulting Numbers: [117, 33]
Generated Node #3: [117, 33] from Operation: 57-24=33
Current State: 84:[117, 33], Operations: ['3*39=117', '57-24=33']
Exploring Operation: 117-33=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[3, 57, 39, 24], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [39, 24, 19]
Generated Node #0,0: 84:[39, 24, 19] Operation: 57/3=19
Exploring Operation: 57+24=81, Resulting Numbers: [3, 39, 81]
Generated Node #0,1: 84:[3, 39, 81] Operation: 57+24=81
Exploring Operation: 57-24=33, Resulting Numbers: [3, 39, 33]
Generated Node #0,2: 84:[3, 39, 33] Operation: 57-24=33
Exploring Operation: 57-39=18, Resulting Numbers: [3, 24, 18]
Generated Node #0,3: 84:[3, 24, 18] Operation: 57-39=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[3, 39, 81], Operations: ['57+24=81']
Exploring Operation: 3+39=42, Resulting Numbers: [81, 42]
Generated Node #0,1,0: 84:[81, 42] Operation: 3+39=42
Exploring Operation: 39/3=13, Resulting Numbers: [81, 13]
Generated Node #0,1,1: 84:[81, 13] Operation: 39/3=13
Exploring Operation: 3+81=84, Resulting Numbers: [39, 84]
Generated Node #0,1,2: 84:[39, 84] Operation: 3+81=84
Exploring Operation: 81-39=42, Resulting Numbers: [3, 42]
Generated Node #0,1,3: 84:[3, 42] Operation: 81-39=42
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 84:[3, 42], Operations: ['57+24=81', '81-39=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,84 unequal: No Solution
No 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: 84:[81, 42], Operations: ['57+24=81', '3+39=42']
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 81+42=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 81*42=3402, Resulting Numbers: [3402]
3402,84 unequal: No Solution
No 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: 84:[39, 84], Operations: ['57+24=81', '3+81=84']
Exploring Operation: 39*84=3276, Resulting Numbers: [3276]
3276,84 unequal: No Solution
Exploring Operation: 39+84=123, Resulting Numbers: [123]
123,84 unequal: No Solution
Exploring Operation: 84-39=45, Resulting Numbers: [45]
45,84 unequal: No Solution
No 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: 84:[81, 13], Operations: ['57+24=81', '39/3=13']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 81*13=1053, Resulting Numbers: [1053]
1053,84 unequal: No Solution
Exploring Operation: 81+13=94, Resulting Numbers: [94]
94,84 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: 84:[3, 24, 18], Operations: ['57-39=18']
Exploring Operation: 3+18=21, Resulting Numbers: [24, 21]
Generated Node #0,3,0: 84:[24, 21] Operation: 3+18=21
Exploring Operation: 24-3=21, Resulting Numbers: [18, 21]
Generated Node #0,3,1: 84:[18, 21] Operation: 24-3=21
Exploring Operation: 24+18=42, Resulting Numbers: [3, 42]
Generated Node #0,3,2: 84:[3, 42] Operation: 24+18=42
Exploring Operation: 24-18=6, Resulting Numbers: [3, 6]
Generated Node #0,3,3: 84:[3, 6] Operation: 24-18=6
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 84:[3, 42], Operations: ['57-39=18', '24+18=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,84 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,84 unequal: No Solution
No 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: 84:[3, 6], Operations: ['57-39=18', '24-18=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,84 unequal: No Solution
No 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: 84:[24, 21], Operations: ['57-39=18', '3+18=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,84 unequal: No Solution
No 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: 84:[18, 21], Operations: ['57-39=18', '24-3=21']
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,84 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,84 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: 84:[39, 24, 19], Operations: ['57/3=19']
Exploring Operation: 39-24=15, Resulting Numbers: [19, 15]
Generated Node #0,0,0: 84:[19, 15] Operation: 39-24=15
Exploring Operation: 24+19=43, Resulting Numbers: [39, 43]
Generated Node #0,0,1: 84:[39, 43] Operation: 24+19=43
Exploring Operation: 24-19=5, Resulting Numbers: [39, 5]
Generated Node #0,0,2: 84:[39, 5] Operation: 24-19=5
Exploring Operation: 39-19=20, Resulting Numbers: [24, 20]
Generated Node #0,0,3: 84:[24, 20] Operation: 39-19=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[19, 15], Operations: ['57/3=19', '39-24=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,84 unequal: No Solution
No 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: 84:[39, 43], Operations: ['57/3=19', '24+19=43']
Exploring Operation: 39*43=1677, Resulting Numbers: [1677]
1677,84 unequal: No Solution
Exploring Operation: 39+43=82, Resulting Numbers: [82]
82,84 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,84 unequal: No Solution
No 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: 84:[39, 5], Operations: ['57/3=19', '24-19=5']
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,84 unequal: No Solution
No 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: 84:[24, 20], Operations: ['57/3=19', '39-19=20']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,84 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: 84:[3, 39, 33], Operations: ['57-24=33']
Exploring Operation: 33-3=30, Resulting Numbers: [39, 30]
Generated Node #0,2,0: 84:[39, 30] Operation: 33-3=30
Exploring Operation: 3+39=42, Resulting Numbers: [33, 42]
Generated Node #0,2,1: 84:[33, 42] Operation: 3+39=42
Exploring Operation: 33/3=11, Resulting Numbers: [39, 11]
Generated Node #0,2,2: 84:[39, 11] Operation: 33/3=11
Exploring Operation: 39-33=6, Resulting Numbers: [3, 6]
Generated Node #0,2,3: 84:[3, 6] Operation: 39-33=6
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[3, 6], Operations: ['57-24=33', '39-33=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
No 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: 84:[39, 11], Operations: ['57-24=33', '33/3=11']
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,84 unequal: No Solution
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No 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: 84:[39, 30], Operations: ['57-24=33', '33-3=30']
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,84 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,84 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,84 unequal: No Solution
No 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: 84:[33, 42], Operations: ['57-24=33', '3+39=42']
Exploring Operation: 33*42=1386, Resulting Numbers: [1386]
1386,84 unequal: No Solution
Exploring Operation: 33+42=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,84 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 |
[
82,
45,
3,
50
] | 80 | [
"82+45=127",
"50-3=47",
"127-47=80"
] | Current State: 80:[82, 45, 3, 50], Operations: []
Exploring Operation: 82+45=127, Resulting Numbers: [3, 50, 127]
Generated Node #2: [3, 50, 127] from Operation: 82+45=127
Current State: 80:[3, 50, 127], Operations: ['82+45=127']
Exploring Operation: 50-3=47, Resulting Numbers: [127, 47]
Generated Node #3: [127, 47] from Operation: 50-3=47
Current State: 80:[127, 47], Operations: ['82+45=127', '50-3=47']
Exploring Operation: 127-47=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[82, 45, 3, 50], Operations: []
Exploring Operation: 45/3=15, Resulting Numbers: [82, 50, 15]
Generated Node #0,0: 80:[82, 50, 15] Operation: 45/3=15
Exploring Operation: 50-45=5, Resulting Numbers: [82, 3, 5]
Generated Node #0,1: 80:[82, 3, 5] Operation: 50-45=5
Exploring Operation: 82-45=37, Resulting Numbers: [3, 50, 37]
Generated Node #0,2: 80:[3, 50, 37] Operation: 82-45=37
Exploring Operation: 82-50=32, Resulting Numbers: [45, 3, 32]
Generated Node #0,3: 80:[45, 3, 32] Operation: 82-50=32
Exploring Operation: 45-3=42, Resulting Numbers: [82, 50, 42]
Generated Node #0,4: 80:[82, 50, 42] Operation: 45-3=42
Moving to Node #0,1
Current State: 80:[82, 3, 5], Operations: ['50-45=5']
Exploring Operation: 82-3=79, Resulting Numbers: [5, 79]
Generated Node #0,1,0: 80:[5, 79] Operation: 82-3=79
Exploring Operation: 5-3=2, Resulting Numbers: [82, 2]
Generated Node #0,1,1: 80:[82, 2] Operation: 5-3=2
Exploring Operation: 82-5=77, Resulting Numbers: [3, 77]
Generated Node #0,1,2: 80:[3, 77] Operation: 82-5=77
Exploring Operation: 3*5=15, Resulting Numbers: [82, 15]
Generated Node #0,1,3: 80:[82, 15] Operation: 3*5=15
Exploring Operation: 3+5=8, Resulting Numbers: [82, 8]
Generated Node #0,1,4: 80:[82, 8] Operation: 3+5=8
Moving to Node #0,0
Current State: 80:[82, 50, 15], Operations: ['45/3=15']
Exploring Operation: 50-15=35, Resulting Numbers: [82, 35]
Generated Node #0,0,0: 80:[82, 35] Operation: 50-15=35
Exploring Operation: 50+15=65, Resulting Numbers: [82, 65]
Generated Node #0,0,1: 80:[82, 65] Operation: 50+15=65
Exploring Operation: 82+15=97, Resulting Numbers: [50, 97]
Generated Node #0,0,2: 80:[50, 97] Operation: 82+15=97
Exploring Operation: 82-50=32, Resulting Numbers: [15, 32]
Generated Node #0,0,3: 80:[15, 32] Operation: 82-50=32
Exploring Operation: 82-15=67, Resulting Numbers: [50, 67]
Generated Node #0,0,4: 80:[50, 67] Operation: 82-15=67
Moving to Node #0,2
Current State: 80:[3, 50, 37], Operations: ['82-45=37']
Exploring Operation: 50-3=47, Resulting Numbers: [37, 47]
Generated Node #0,2,0: 80:[37, 47] Operation: 50-3=47
Exploring Operation: 3+50=53, Resulting Numbers: [37, 53]
Generated Node #0,2,1: 80:[37, 53] Operation: 3+50=53
Exploring Operation: 3+37=40, Resulting Numbers: [50, 40]
Generated Node #0,2,2: 80:[50, 40] Operation: 3+37=40
Exploring Operation: 50+37=87, Resulting Numbers: [3, 87]
Generated Node #0,2,3: 80:[3, 87] Operation: 50+37=87
Exploring Operation: 50-37=13, Resulting Numbers: [3, 13]
Generated Node #0,2,4: 80:[3, 13] Operation: 50-37=13
Moving to Node #0,3
Current State: 80:[45, 3, 32], Operations: ['82-50=32']
Exploring Operation: 45-3=42, Resulting Numbers: [32, 42]
Generated Node #0,3,0: 80:[32, 42] Operation: 45-3=42
Exploring Operation: 45+32=77, Resulting Numbers: [3, 77]
Generated Node #0,3,1: 80:[3, 77] Operation: 45+32=77
Exploring Operation: 3+32=35, Resulting Numbers: [45, 35]
Generated Node #0,3,2: 80:[45, 35] Operation: 3+32=35
Exploring Operation: 45/3=15, Resulting Numbers: [32, 15]
Generated Node #0,3,3: 80:[32, 15] Operation: 45/3=15
Exploring Operation: 45-32=13, Resulting Numbers: [3, 13]
Generated Node #0,3,4: 80:[3, 13] Operation: 45-32=13
Moving to Node #0,4
Current State: 80:[82, 50, 42], Operations: ['45-3=42']
Exploring Operation: 50+42=92, Resulting Numbers: [82, 92]
Generated Node #0,4,0: 80:[82, 92] Operation: 50+42=92
Exploring Operation: 82+50=132, Resulting Numbers: [42, 132]
Generated Node #0,4,1: 80:[42, 132] Operation: 82+50=132
Exploring Operation: 82-42=40, Resulting Numbers: [50, 40]
Generated Node #0,4,2: 80:[50, 40] Operation: 82-42=40
Exploring Operation: 50-42=8, Resulting Numbers: [82, 8]
Generated Node #0,4,3: 80:[82, 8] Operation: 50-42=8
Exploring Operation: 82-50=32, Resulting Numbers: [42, 32]
Generated Node #0,4,4: 80:[42, 32] Operation: 82-50=32
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 80:[82, 8], Operations: ['45-3=42', '50-42=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 82*8=656, Resulting Numbers: [656]
656,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 80:[50, 40], Operations: ['45-3=42', '82-42=40']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 50*40=2000, Resulting Numbers: [2000]
2000,80 unequal: No Solution
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 80:[42, 32], Operations: ['45-3=42', '82-50=32']
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,80 unequal: No Solution
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 80:[82, 92], Operations: ['45-3=42', '50+42=92']
Exploring Operation: 82+92=174, Resulting Numbers: [174]
174,80 unequal: No Solution
Exploring Operation: 82*92=7544, Resulting Numbers: [7544]
7544,80 unequal: No Solution
Exploring Operation: 92-82=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 80:[42, 132], Operations: ['45-3=42', '82+50=132']
Exploring Operation: 42+132=174, Resulting Numbers: [174]
174,80 unequal: No Solution
Exploring Operation: 132-42=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 42*132=5544, Resulting Numbers: [5544]
5544,80 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: 80:[5, 79], Operations: ['50-45=5', '82-3=79']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,80 unequal: No Solution
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,80 unequal: No Solution
Moving to Node #0,1,4
Current State: 80:[82, 8], Operations: ['50-45=5', '3+5=8']
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 82*8=656, Resulting Numbers: [656]
656,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[82, 2], Operations: ['50-45=5', '5-3=2']
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,80 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,80 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[82, 45, 3, 50], Operations: []
Exploring Operation: 50-45=5, Resulting Numbers: [82, 3, 5]
Generated Node #0,1: 80:[82, 3, 5] Operation: 50-45=5
Moving to Node #0,1
Current State: 80:[82, 3, 5], Operations: ['50-45=5']
Exploring Operation: 5-3=2, Resulting Numbers: [82, 2]
Generated Node #0,1,1: 80:[82, 2] Operation: 5-3=2
Moving to Node #0,1,1
Current State: 80:[82, 2], Operations: ['50-45=5', '5-3=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.948785 | hs_5 | mult_heuristic |
[
73,
12,
49,
53
] | 70 | [
"53-49=4",
"12/4=3",
"73-3=70"
] | Current State: 70:[73, 12, 49, 53], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [73, 12, 4]
Generated Node #2: [73, 12, 4] from Operation: 53-49=4
Current State: 70:[73, 12, 4], Operations: ['53-49=4']
Exploring Operation: 12/4=3, Resulting Numbers: [73, 3]
Generated Node #3: [73, 3] from Operation: 12/4=3
Current State: 70:[73, 3], Operations: ['53-49=4', '12/4=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[73, 12, 49, 53], Operations: []
Exploring Operation: 49-12=37, Resulting Numbers: [73, 53, 37]
Generated Node #0,0: 70:[73, 53, 37] Operation: 49-12=37
Exploring Operation: 73-53=20, Resulting Numbers: [12, 49, 20]
Generated Node #0,1: 70:[12, 49, 20] Operation: 73-53=20
Exploring Operation: 53-49=4, Resulting Numbers: [73, 12, 4]
Generated Node #0,2: 70:[73, 12, 4] Operation: 53-49=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[73, 12, 4], Operations: ['53-49=4']
Exploring Operation: 73-4=69, Resulting Numbers: [12, 69]
Generated Node #0,2,0: 70:[12, 69] Operation: 73-4=69
Exploring Operation: 12-4=8, Resulting Numbers: [73, 8]
Generated Node #0,2,1: 70:[73, 8] Operation: 12-4=8
Exploring Operation: 12/4=3, Resulting Numbers: [73, 3]
Generated Node #0,2,2: 70:[73, 3] Operation: 12/4=3
Moving to Node #0,2,0
Current State: 70:[12, 69], Operations: ['53-49=4', '73-4=69']
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,70 unequal: No Solution
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,70 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[73, 8], Operations: ['53-49=4', '12-4=8']
Exploring Operation: 73*8=584, Resulting Numbers: [584]
584,70 unequal: No Solution
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,70 unequal: No Solution
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[73, 3], Operations: ['53-49=4', '12/4=3']
Exploring Operation: 73+3=76, Resulting Numbers: [76]
76,70 unequal: No Solution
Exploring Operation: 73*3=219, Resulting Numbers: [219]
219,70 unequal: No Solution
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[73, 12, 49, 53], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [73, 12, 4]
Generated Node #0,2: 70:[73, 12, 4] Operation: 53-49=4
Moving to Node #0,2
Current State: 70:[73, 12, 4], Operations: ['53-49=4']
Exploring Operation: 12/4=3, Resulting Numbers: [73, 3]
Generated Node #0,2,2: 70:[73, 3] Operation: 12/4=3
Moving to Node #0,2,2
Current State: 70:[73, 3], Operations: ['53-49=4', '12/4=3']
Exploring Operation: 73-3=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
31,
17,
4,
7
] | 85 | [
"31+4=35",
"17*35=595",
"595/7=85"
] | Current State: 85:[31, 17, 4, 7], Operations: []
Exploring Operation: 31+4=35, Resulting Numbers: [17, 7, 35]
Generated Node #2: [17, 7, 35] from Operation: 31+4=35
Current State: 85:[17, 7, 35], Operations: ['31+4=35']
Exploring Operation: 17*35=595, Resulting Numbers: [7, 595]
Generated Node #3: [7, 595] from Operation: 17*35=595
Current State: 85:[7, 595], Operations: ['31+4=35', '17*35=595']
Exploring Operation: 595/7=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[31, 17, 4, 7], Operations: []
Exploring Operation: 31-7=24, Resulting Numbers: [17, 4, 24]
Generated Node #0,0: 85:[17, 4, 24] Operation: 31-7=24
Exploring Operation: 31-17=14, Resulting Numbers: [4, 7, 14]
Generated Node #0,1: 85:[4, 7, 14] Operation: 31-17=14
Exploring Operation: 31-4=27, Resulting Numbers: [17, 7, 27]
Generated Node #0,2: 85:[17, 7, 27] Operation: 31-4=27
Moving to Node #0,1
Current State: 85:[4, 7, 14], Operations: ['31-17=14']
Exploring Operation: 14/7=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 85:[4, 2] Operation: 14/7=2
Exploring Operation: 14-7=7, Resulting Numbers: [4, 7]
Generated Node #0,1,1: 85:[4, 7] Operation: 14-7=7
Exploring Operation: 4+14=18, Resulting Numbers: [7, 18]
Generated Node #0,1,2: 85:[7, 18] Operation: 4+14=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 85:[4, 7], Operations: ['31-17=14', '14-7=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,85 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,85 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:[7, 18], Operations: ['31-17=14', '4+14=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,85 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,85 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:[4, 2], Operations: ['31-17=14', '14/7=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,85 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: 85:[17, 4, 24], Operations: ['31-7=24']
Exploring Operation: 24-4=20, Resulting Numbers: [17, 20]
Generated Node #0,0,0: 85:[17, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [17, 6]
Generated Node #0,0,1: 85:[17, 6] Operation: 24/4=6
Exploring Operation: 24-17=7, Resulting Numbers: [4, 7]
Generated Node #0,0,2: 85:[4, 7] Operation: 24-17=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 85:[17, 6], Operations: ['31-7=24', '24/4=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,85 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,85 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 #0,0,0
Current State: 85:[17, 20], Operations: ['31-7=24', '24-4=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,85 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,85 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:[4, 7], Operations: ['31-7=24', '24-17=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,85 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,85 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:[17, 7, 27], Operations: ['31-4=27']
Exploring Operation: 17-7=10, Resulting Numbers: [27, 10]
Generated Node #0,2,0: 85:[27, 10] Operation: 17-7=10
Exploring Operation: 27-7=20, Resulting Numbers: [17, 20]
Generated Node #0,2,1: 85:[17, 20] Operation: 27-7=20
Exploring Operation: 27-17=10, Resulting Numbers: [7, 10]
Generated Node #0,2,2: 85:[7, 10] Operation: 27-17=10
Moving to Node #0,2,1
Current State: 85:[17, 20], Operations: ['31-4=27', '27-7=20']
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,85 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[7, 10], Operations: ['31-4=27', '27-17=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,85 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Moving to Node #0,2,0
Current State: 85:[27, 10], Operations: ['31-4=27', '17-7=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,85 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,85 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
25,
3,
40,
5
] | 14 | [
"25-3=22",
"40/5=8",
"22-8=14"
] | Current State: 14:[25, 3, 40, 5], Operations: []
Exploring Operation: 25-3=22, Resulting Numbers: [40, 5, 22]
Generated Node #2: [40, 5, 22] from Operation: 25-3=22
Current State: 14:[40, 5, 22], Operations: ['25-3=22']
Exploring Operation: 40/5=8, Resulting Numbers: [22, 8]
Generated Node #3: [22, 8] from Operation: 40/5=8
Current State: 14:[22, 8], Operations: ['25-3=22', '40/5=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[25, 3, 40, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [25, 3, 8]
Generated Node #0,0: 14:[25, 3, 8] Operation: 40/5=8
Exploring Operation: 40-25=15, Resulting Numbers: [3, 5, 15]
Generated Node #0,1: 14:[3, 5, 15] Operation: 40-25=15
Exploring Operation: 25/5=5, Resulting Numbers: [3, 40, 5]
Generated Node #0,2: 14:[3, 40, 5] Operation: 25/5=5
Moving to Node #0,1
Current State: 14:[3, 5, 15], Operations: ['40-25=15']
Exploring Operation: 5-3=2, Resulting Numbers: [15, 2]
Generated Node #0,1,0: 14:[15, 2] Operation: 5-3=2
Exploring Operation: 3*5=15, Resulting Numbers: [15, 15]
Generated Node #0,1,1: 14:[15, 15] Operation: 3*5=15
Exploring Operation: 3+5=8, Resulting Numbers: [15, 8]
Generated Node #0,1,2: 14:[15, 8] Operation: 3+5=8
Moving to Node #0,0
Current State: 14:[25, 3, 8], Operations: ['40/5=8']
Exploring Operation: 8-3=5, Resulting Numbers: [25, 5]
Generated Node #0,0,0: 14:[25, 5] Operation: 8-3=5
Exploring Operation: 25-3=22, Resulting Numbers: [8, 22]
Generated Node #0,0,1: 14:[8, 22] Operation: 25-3=22
Exploring Operation: 25-8=17, Resulting Numbers: [3, 17]
Generated Node #0,0,2: 14:[3, 17] Operation: 25-8=17
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[3, 17], Operations: ['40/5=8', '25-8=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[25, 3, 40, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [25, 3, 8]
Generated Node #0,0: 14:[25, 3, 8] Operation: 40/5=8
Moving to Node #0,0
Current State: 14:[25, 3, 8], Operations: ['40/5=8']
Exploring Operation: 25-8=17, Resulting Numbers: [3, 17]
Generated Node #0,0,2: 14:[3, 17] Operation: 25-8=17
Moving to Node #0,0,2
Current State: 14:[3, 17], Operations: ['40/5=8', '25-8=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
7,
79,
44,
89
] | 41 | [
"7+79=86",
"89-44=45",
"86-45=41"
] | Current State: 41:[7, 79, 44, 89], Operations: []
Exploring Operation: 7+79=86, Resulting Numbers: [44, 89, 86]
Generated Node #2: [44, 89, 86] from Operation: 7+79=86
Current State: 41:[44, 89, 86], Operations: ['7+79=86']
Exploring Operation: 89-44=45, Resulting Numbers: [86, 45]
Generated Node #3: [86, 45] from Operation: 89-44=45
Current State: 41:[86, 45], Operations: ['7+79=86', '89-44=45']
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[7, 79, 44, 89], Operations: []
Exploring Operation: 79-7=72, Resulting Numbers: [44, 89, 72]
Generated Node #0,0: 41:[44, 89, 72] Operation: 79-7=72
Exploring Operation: 89-7=82, Resulting Numbers: [79, 44, 82]
Generated Node #0,1: 41:[79, 44, 82] Operation: 89-7=82
Exploring Operation: 89-79=10, Resulting Numbers: [7, 44, 10]
Generated Node #0,2: 41:[7, 44, 10] Operation: 89-79=10
Exploring Operation: 89-44=45, Resulting Numbers: [7, 79, 45]
Generated Node #0,3: 41:[7, 79, 45] Operation: 89-44=45
Moving to Node #0,2
Current State: 41:[7, 44, 10], Operations: ['89-79=10']
Exploring Operation: 44-7=37, Resulting Numbers: [10, 37]
Generated Node #0,2,0: 41:[10, 37] Operation: 44-7=37
Exploring Operation: 7+10=17, Resulting Numbers: [44, 17]
Generated Node #0,2,1: 41:[44, 17] Operation: 7+10=17
Exploring Operation: 7+44=51, Resulting Numbers: [10, 51]
Generated Node #0,2,2: 41:[10, 51] Operation: 7+44=51
Exploring Operation: 7*10=70, Resulting Numbers: [44, 70]
Generated Node #0,2,3: 41:[44, 70] Operation: 7*10=70
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[44, 17], Operations: ['89-79=10', '7+10=17']
Exploring Operation: 44+17=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 44*17=748, Resulting Numbers: [748]
748,41 unequal: No Solution
No 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: 41:[44, 70], Operations: ['89-79=10', '7*10=70']
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,41 unequal: No Solution
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,41 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,41 unequal: No Solution
No 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: 41:[10, 37], Operations: ['89-79=10', '44-7=37']
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,41 unequal: No Solution
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,41 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,41 unequal: No Solution
No 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: 41:[10, 51], Operations: ['89-79=10', '7+44=51']
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Exploring Operation: 10*51=510, Resulting Numbers: [510]
510,41 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[7, 79, 44, 89], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [7, 44, 10]
Generated Node #0,2: 41:[7, 44, 10] Operation: 89-79=10
Moving to Node #0,2
Current State: 41:[7, 44, 10], Operations: ['89-79=10']
Exploring Operation: 7+44=51, Resulting Numbers: [10, 51]
Generated Node #0,2,2: 41:[10, 51] Operation: 7+44=51
Moving to Node #0,2,2
Current State: 41:[10, 51], Operations: ['89-79=10', '7+44=51']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | mult_heuristic |
[
89,
16,
87,
74
] | 87 | [
"89-16=73",
"74-73=1",
"87*1=87"
] | Current State: 87:[89, 16, 87, 74], Operations: []
Exploring Operation: 89-16=73, Resulting Numbers: [87, 74, 73]
Generated Node #2: [87, 74, 73] from Operation: 89-16=73
Current State: 87:[87, 74, 73], Operations: ['89-16=73']
Exploring Operation: 74-73=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 74-73=1
Current State: 87:[87, 1], Operations: ['89-16=73', '74-73=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[89, 16, 87, 74], Operations: []
Exploring Operation: 16+74=90, Resulting Numbers: [89, 87, 90]
Generated Node #0,0: 87:[89, 87, 90] Operation: 16+74=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[89, 87, 90], Operations: ['16+74=90']
Exploring Operation: 90-89=1, Resulting Numbers: [87, 1]
Generated Node #0,0,0: 87:[87, 1] Operation: 90-89=1
Moving to Node #0,0,0
Current State: 87:[87, 1], Operations: ['16+74=90', '90-89=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[89, 16, 87, 74], Operations: []
Exploring Operation: 16+74=90, Resulting Numbers: [89, 87, 90]
Generated Node #0,0: 87:[89, 87, 90] Operation: 16+74=90
Moving to Node #0,0
Current State: 87:[89, 87, 90], Operations: ['16+74=90']
Exploring Operation: 90-89=1, Resulting Numbers: [87, 1]
Generated Node #0,0,0: 87:[87, 1] Operation: 90-89=1
Moving to Node #0,0,0
Current State: 87:[87, 1], Operations: ['16+74=90', '90-89=1']
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
36,
1,
33,
72
] | 75 | [
"36*1=36",
"72-33=39",
"36+39=75"
] | Current State: 75:[36, 1, 33, 72], Operations: []
Exploring Operation: 36*1=36, Resulting Numbers: [33, 72, 36]
Generated Node #2: [33, 72, 36] from Operation: 36*1=36
Current State: 75:[33, 72, 36], Operations: ['36*1=36']
Exploring Operation: 72-33=39, Resulting Numbers: [36, 39]
Generated Node #3: [36, 39] from Operation: 72-33=39
Current State: 75:[36, 39], Operations: ['36*1=36', '72-33=39']
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[36, 1, 33, 72], Operations: []
Exploring Operation: 36+33=69, Resulting Numbers: [1, 72, 69]
Generated Node #0,0: 75:[1, 72, 69] Operation: 36+33=69
Exploring Operation: 72/36=2, Resulting Numbers: [1, 33, 2]
Generated Node #0,1: 75:[1, 33, 2] Operation: 72/36=2
Exploring Operation: 36-33=3, Resulting Numbers: [1, 72, 3]
Generated Node #0,2: 75:[1, 72, 3] Operation: 36-33=3
Moving to Node #0,2
Current State: 75:[1, 72, 3], Operations: ['36-33=3']
Exploring Operation: 1*72=72, Resulting Numbers: [3, 72]
Generated Node #0,2,0: 75:[3, 72] Operation: 1*72=72
Exploring Operation: 72+3=75, Resulting Numbers: [1, 75]
Generated Node #0,2,1: 75:[1, 75] Operation: 72+3=75
Exploring Operation: 1+72=73, Resulting Numbers: [3, 73]
Generated Node #0,2,2: 75:[3, 73] Operation: 1+72=73
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 75:[1, 75], Operations: ['36-33=3', '72+3=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[36, 1, 33, 72], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [1, 72, 3]
Generated Node #0,2: 75:[1, 72, 3] Operation: 36-33=3
Moving to Node #0,2
Current State: 75:[1, 72, 3], Operations: ['36-33=3']
Exploring Operation: 72+3=75, Resulting Numbers: [1, 75]
Generated Node #0,2,1: 75:[1, 75] Operation: 72+3=75
Moving to Node #0,2,1
Current State: 75:[1, 75], Operations: ['36-33=3', '72+3=75']
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
37,
7,
60,
42
] | 91 | [
"37+60=97",
"42/7=6",
"97-6=91"
] | Current State: 91:[37, 7, 60, 42], Operations: []
Exploring Operation: 37+60=97, Resulting Numbers: [7, 42, 97]
Generated Node #2: [7, 42, 97] from Operation: 37+60=97
Current State: 91:[7, 42, 97], Operations: ['37+60=97']
Exploring Operation: 42/7=6, Resulting Numbers: [97, 6]
Generated Node #3: [97, 6] from Operation: 42/7=6
Current State: 91:[97, 6], Operations: ['37+60=97', '42/7=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[37, 7, 60, 42], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [37, 7, 18]
Generated Node #0,0: 91:[37, 7, 18] Operation: 60-42=18
Exploring Operation: 37+60=97, Resulting Numbers: [7, 42, 97]
Generated Node #0,1: 91:[7, 42, 97] Operation: 37+60=97
Exploring Operation: 60+42=102, Resulting Numbers: [37, 7, 102]
Generated Node #0,2: 91:[37, 7, 102] Operation: 60+42=102
Exploring Operation: 42-37=5, Resulting Numbers: [7, 60, 5]
Generated Node #0,3: 91:[7, 60, 5] Operation: 42-37=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[37, 7, 18], Operations: ['60-42=18']
Exploring Operation: 37-18=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 91:[7, 19] Operation: 37-18=19
Exploring Operation: 37+7=44, Resulting Numbers: [18, 44]
Generated Node #0,0,1: 91:[18, 44] Operation: 37+7=44
Exploring Operation: 18-7=11, Resulting Numbers: [37, 11]
Generated Node #0,0,2: 91:[37, 11] Operation: 18-7=11
Exploring Operation: 37-7=30, Resulting Numbers: [18, 30]
Generated Node #0,0,3: 91:[18, 30] Operation: 37-7=30
Moving to Node #0,0,0
Current State: 91:[7, 19], Operations: ['60-42=18', '37-18=19']
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,91 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[18, 30], Operations: ['60-42=18', '37-7=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,91 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[37, 11], Operations: ['60-42=18', '18-7=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,91 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[18, 44], Operations: ['60-42=18', '37+7=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,91 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,91 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 #0,3
Current State: 91:[7, 60, 5], Operations: ['42-37=5']
Exploring Operation: 7+60=67, Resulting Numbers: [5, 67]
Generated Node #0,3,0: 91:[5, 67] Operation: 7+60=67
Exploring Operation: 60/5=12, Resulting Numbers: [7, 12]
Generated Node #0,3,1: 91:[7, 12] Operation: 60/5=12
Exploring Operation: 7+5=12, Resulting Numbers: [60, 12]
Generated Node #0,3,2: 91:[60, 12] Operation: 7+5=12
Exploring Operation: 60+5=65, Resulting Numbers: [7, 65]
Generated Node #0,3,3: 91:[7, 65] Operation: 60+5=65
Moving to Node #0,3,1
Current State: 91:[7, 12], Operations: ['42-37=5', '60/5=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[7, 65], Operations: ['42-37=5', '60+5=65']
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,91 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,91 unequal: No Solution
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[5, 67], Operations: ['42-37=5', '7+60=67']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 5*67=335, Resulting Numbers: [335]
335,91 unequal: No Solution
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[60, 12], Operations: ['42-37=5', '7+5=12']
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,91 unequal: No Solution
Exploring Operation: 60*12=720, Resulting Numbers: [720]
720,91 unequal: No Solution
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,91 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,91 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:[7, 42, 97], Operations: ['37+60=97']
Exploring Operation: 97-7=90, Resulting Numbers: [42, 90]
Generated Node #0,1,0: 91:[42, 90] Operation: 97-7=90
Exploring Operation: 97-42=55, Resulting Numbers: [7, 55]
Generated Node #0,1,1: 91:[7, 55] Operation: 97-42=55
Exploring Operation: 42-7=35, Resulting Numbers: [97, 35]
Generated Node #0,1,2: 91:[97, 35] Operation: 42-7=35
Exploring Operation: 42/7=6, Resulting Numbers: [97, 6]
Generated Node #0,1,3: 91:[97, 6] Operation: 42/7=6
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 91:[97, 6], Operations: ['37+60=97', '42/7=6']
Exploring Operation: 97*6=582, Resulting Numbers: [582]
582,91 unequal: No Solution
Exploring Operation: 97+6=103, Resulting Numbers: [103]
103,91 unequal: No Solution
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[37, 7, 60, 42], Operations: []
Exploring Operation: 37+60=97, Resulting Numbers: [7, 42, 97]
Generated Node #0,1: 91:[7, 42, 97] Operation: 37+60=97
Moving to Node #0,1
Current State: 91:[7, 42, 97], Operations: ['37+60=97']
Exploring Operation: 42/7=6, Resulting Numbers: [97, 6]
Generated Node #0,1,3: 91:[97, 6] Operation: 42/7=6
Moving to Node #0,1,3
Current State: 91:[97, 6], Operations: ['37+60=97', '42/7=6']
Exploring Operation: 97-6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.958333 | hs_4 | sum_heuristic |
[
76,
82,
51,
81
] | 25 | [
"76-51=25",
"82-81=1",
"25*1=25"
] | Current State: 25:[76, 82, 51, 81], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [82, 81, 25]
Generated Node #2: [82, 81, 25] from Operation: 76-51=25
Current State: 25:[82, 81, 25], Operations: ['76-51=25']
Exploring Operation: 82-81=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 82-81=1
Current State: 25:[25, 1], Operations: ['76-51=25', '82-81=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[76, 82, 51, 81], Operations: []
Exploring Operation: 82-81=1, Resulting Numbers: [76, 51, 1]
Generated Node #0,0: 25:[76, 51, 1] Operation: 82-81=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[76, 51, 1], Operations: ['82-81=1']
Exploring Operation: 76-51=25, Resulting Numbers: [1, 25]
Generated Node #0,0,0: 25:[1, 25] Operation: 76-51=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[1, 25], Operations: ['82-81=1', '76-51=25']
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[76, 82, 51, 81], Operations: []
Exploring Operation: 82-81=1, Resulting Numbers: [76, 51, 1]
Generated Node #0,0: 25:[76, 51, 1] Operation: 82-81=1
Moving to Node #0,0
Current State: 25:[76, 51, 1], Operations: ['82-81=1']
Exploring Operation: 76-51=25, Resulting Numbers: [1, 25]
Generated Node #0,0,0: 25:[1, 25] Operation: 76-51=25
Moving to Node #0,0,0
Current State: 25:[1, 25], Operations: ['82-81=1', '76-51=25']
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
54,
81,
29,
30
] | 27 | [
"81-54=27",
"30-29=1",
"27*1=27"
] | Current State: 27:[54, 81, 29, 30], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [29, 30, 27]
Generated Node #2: [29, 30, 27] from Operation: 81-54=27
Current State: 27:[29, 30, 27], Operations: ['81-54=27']
Exploring Operation: 30-29=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 30-29=1
Current State: 27:[27, 1], Operations: ['81-54=27', '30-29=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[54, 81, 29, 30], Operations: []
Exploring Operation: 81-30=51, Resulting Numbers: [54, 29, 51]
Generated Node #0,0: 27:[54, 29, 51] Operation: 81-30=51
Exploring Operation: 81-54=27, Resulting Numbers: [29, 30, 27]
Generated Node #0,1: 27:[29, 30, 27] Operation: 81-54=27
Exploring Operation: 81-29=52, Resulting Numbers: [54, 30, 52]
Generated Node #0,2: 27:[54, 30, 52] Operation: 81-29=52
Exploring Operation: 54-29=25, Resulting Numbers: [81, 30, 25]
Generated Node #0,3: 27:[81, 30, 25] Operation: 54-29=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[29, 30, 27], Operations: ['81-54=27']
Exploring Operation: 30-29=1, Resulting Numbers: [27, 1]
Generated Node #0,1,0: 27:[27, 1] Operation: 30-29=1
Exploring Operation: 30-27=3, Resulting Numbers: [29, 3]
Generated Node #0,1,1: 27:[29, 3] Operation: 30-27=3
Exploring Operation: 29-27=2, Resulting Numbers: [30, 2]
Generated Node #0,1,2: 27:[30, 2] Operation: 29-27=2
Exploring Operation: 29+30=59, Resulting Numbers: [27, 59]
Generated Node #0,1,3: 27:[27, 59] Operation: 29+30=59
Moving to Node #0,1,0
Current State: 27:[27, 1], Operations: ['81-54=27', '30-29=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[54, 81, 29, 30], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [29, 30, 27]
Generated Node #0,1: 27:[29, 30, 27] Operation: 81-54=27
Moving to Node #0,1
Current State: 27:[29, 30, 27], Operations: ['81-54=27']
Exploring Operation: 30-29=1, Resulting Numbers: [27, 1]
Generated Node #0,1,0: 27:[27, 1] Operation: 30-29=1
Moving to Node #0,1,0
Current State: 27:[27, 1], Operations: ['81-54=27', '30-29=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
95,
28,
80,
8
] | 51 | [
"95+28=123",
"80-8=72",
"123-72=51"
] | Current State: 51:[95, 28, 80, 8], Operations: []
Exploring Operation: 95+28=123, Resulting Numbers: [80, 8, 123]
Generated Node #2: [80, 8, 123] from Operation: 95+28=123
Current State: 51:[80, 8, 123], Operations: ['95+28=123']
Exploring Operation: 80-8=72, Resulting Numbers: [123, 72]
Generated Node #3: [123, 72] from Operation: 80-8=72
Current State: 51:[123, 72], Operations: ['95+28=123', '80-8=72']
Exploring Operation: 123-72=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[95, 28, 80, 8], Operations: []
Exploring Operation: 95-80=15, Resulting Numbers: [28, 8, 15]
Generated Node #0,0: 51:[28, 8, 15] Operation: 95-80=15
Exploring Operation: 95-28=67, Resulting Numbers: [80, 8, 67]
Generated Node #0,1: 51:[80, 8, 67] Operation: 95-28=67
Moving to Node #0,0
Current State: 51:[28, 8, 15], Operations: ['95-80=15']
Exploring Operation: 28-8=20, Resulting Numbers: [15, 20]
Generated Node #0,0,0: 51:[15, 20] Operation: 28-8=20
Exploring Operation: 28-15=13, Resulting Numbers: [8, 13]
Generated Node #0,0,1: 51:[8, 13] Operation: 28-15=13
Moving to Node #0,1
Current State: 51:[80, 8, 67], Operations: ['95-28=67']
Exploring Operation: 80/8=10, Resulting Numbers: [67, 10]
Generated Node #0,1,0: 51:[67, 10] Operation: 80/8=10
Exploring Operation: 80-67=13, Resulting Numbers: [8, 13]
Generated Node #0,1,1: 51:[8, 13] Operation: 80-67=13
Moving to Node #0,0,0
Current State: 51:[15, 20], Operations: ['95-80=15', '28-8=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,51 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[8, 13], Operations: ['95-28=67', '80-67=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[8, 13], Operations: ['95-80=15', '28-15=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,51 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[67, 10], Operations: ['95-28=67', '80/8=10']
Exploring Operation: 67-10=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,51 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
28,
84,
84
] | 73 | [
"46+28=74",
"84/84=1",
"74-1=73"
] | Current State: 73:[46, 28, 84, 84], Operations: []
Exploring Operation: 46+28=74, Resulting Numbers: [84, 84, 74]
Generated Node #2: [84, 84, 74] from Operation: 46+28=74
Current State: 73:[84, 84, 74], Operations: ['46+28=74']
Exploring Operation: 84/84=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 84/84=1
Current State: 73:[74, 1], Operations: ['46+28=74', '84/84=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[46, 28, 84, 84], Operations: []
Exploring Operation: 46+28=74, Resulting Numbers: [84, 84, 74]
Generated Node #0,0: 73:[84, 84, 74] Operation: 46+28=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[84, 84, 74], Operations: ['46+28=74']
Exploring Operation: 84/84=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 73:[74, 1] Operation: 84/84=1
Moving to Node #0,0,0
Current State: 73:[74, 1], Operations: ['46+28=74', '84/84=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[46, 28, 84, 84], Operations: []
Exploring Operation: 46+28=74, Resulting Numbers: [84, 84, 74]
Generated Node #0,0: 73:[84, 84, 74] Operation: 46+28=74
Moving to Node #0,0
Current State: 73:[84, 84, 74], Operations: ['46+28=74']
Exploring Operation: 84/84=1, Resulting Numbers: [74, 1]
Generated Node #0,0,0: 73:[74, 1] Operation: 84/84=1
Moving to Node #0,0,0
Current State: 73:[74, 1], Operations: ['46+28=74', '84/84=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
56,
28,
21,
56
] | 21 | [
"56-56=0",
"28*0=0",
"21+0=21"
] | Current State: 21:[56, 28, 21, 56], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [28, 21, 0]
Generated Node #2: [28, 21, 0] from Operation: 56-56=0
Current State: 21:[28, 21, 0], Operations: ['56-56=0']
Exploring Operation: 28*0=0, Resulting Numbers: [21, 0]
Generated Node #3: [21, 0] from Operation: 28*0=0
Current State: 21:[21, 0], Operations: ['56-56=0', '28*0=0']
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[56, 28, 21, 56], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [28, 21, 0]
Generated Node #0,0: 21:[28, 21, 0] Operation: 56-56=0
Exploring Operation: 56/28=2, Resulting Numbers: [21, 56, 2]
Generated Node #0,1: 21:[21, 56, 2] Operation: 56/28=2
Exploring Operation: 56/56=1, Resulting Numbers: [28, 21, 1]
Generated Node #0,2: 21:[28, 21, 1] Operation: 56/56=1
Exploring Operation: 56-28=28, Resulting Numbers: [21, 56, 28]
Generated Node #0,3: 21:[21, 56, 28] Operation: 56-28=28
Exploring Operation: 56/28=2, Resulting Numbers: [56, 21, 2]
Generated Node #0,4: 21:[56, 21, 2] Operation: 56/28=2
Moving to Node #0,2
Current State: 21:[28, 21, 1], Operations: ['56/56=1']
Exploring Operation: 28-21=7, Resulting Numbers: [1, 7]
Generated Node #0,2,0: 21:[1, 7] Operation: 28-21=7
Exploring Operation: 28*1=28, Resulting Numbers: [21, 28]
Generated Node #0,2,1: 21:[21, 28] Operation: 28*1=28
Exploring Operation: 28-1=27, Resulting Numbers: [21, 27]
Generated Node #0,2,2: 21:[21, 27] Operation: 28-1=27
Exploring Operation: 28/1=28, Resulting Numbers: [21, 28]
Generated Node #0,2,3: 21:[21, 28] Operation: 28/1=28
Exploring Operation: 21*1=21, Resulting Numbers: [28, 21]
Generated Node #0,2,4: 21:[28, 21] Operation: 21*1=21
Moving to Node #0,0
Current State: 21:[28, 21, 0], Operations: ['56-56=0']
Exploring Operation: 28-21=7, Resulting Numbers: [0, 7]
Generated Node #0,0,0: 21:[0, 7] Operation: 28-21=7
Exploring Operation: 28-0=28, Resulting Numbers: [21, 28]
Generated Node #0,0,1: 21:[21, 28] Operation: 28-0=28
Exploring Operation: 28+0=28, Resulting Numbers: [21, 28]
Generated Node #0,0,2: 21:[21, 28] Operation: 28+0=28
Exploring Operation: 28*0=0, Resulting Numbers: [21, 0]
Generated Node #0,0,3: 21:[21, 0] Operation: 28*0=0
Exploring Operation: 21+0=21, Resulting Numbers: [28, 21]
Generated Node #0,0,4: 21:[28, 21] Operation: 21+0=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[0, 7], Operations: ['56-56=0', '28-21=7']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 0+7=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 0*7=0, Resulting Numbers: [0]
0,21 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 #0,0,3
Current State: 21:[21, 0], Operations: ['56-56=0', '28*0=0']
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[56, 28, 21, 56], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [28, 21, 0]
Generated Node #0,0: 21:[28, 21, 0] Operation: 56-56=0
Moving to Node #0,0
Current State: 21:[28, 21, 0], Operations: ['56-56=0']
Exploring Operation: 28*0=0, Resulting Numbers: [21, 0]
Generated Node #0,0,3: 21:[21, 0] Operation: 28*0=0
Moving to Node #0,0,3
Current State: 21:[21, 0], Operations: ['56-56=0', '28*0=0']
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
40,
8,
6,
22
] | 44 | [
"22-8=14",
"6*14=84",
"84-40=44"
] | Current State: 44:[40, 8, 6, 22], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [40, 6, 14]
Generated Node #2: [40, 6, 14] from Operation: 22-8=14
Current State: 44:[40, 6, 14], Operations: ['22-8=14']
Exploring Operation: 6*14=84, Resulting Numbers: [40, 84]
Generated Node #3: [40, 84] from Operation: 6*14=84
Current State: 44:[40, 84], Operations: ['22-8=14', '6*14=84']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[40, 8, 6, 22], Operations: []
Exploring Operation: 40+8=48, Resulting Numbers: [6, 22, 48]
Generated Node #0,0: 44:[6, 22, 48] Operation: 40+8=48
Exploring Operation: 8+6=14, Resulting Numbers: [40, 22, 14]
Generated Node #0,1: 44:[40, 22, 14] Operation: 8+6=14
Exploring Operation: 40/8=5, Resulting Numbers: [6, 22, 5]
Generated Node #0,2: 44:[6, 22, 5] Operation: 40/8=5
Exploring Operation: 8-6=2, Resulting Numbers: [40, 22, 2]
Generated Node #0,3: 44:[40, 22, 2] Operation: 8-6=2
Exploring Operation: 40+6=46, Resulting Numbers: [8, 22, 46]
Generated Node #0,4: 44:[8, 22, 46] Operation: 40+6=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[6, 22, 5], Operations: ['40/8=5']
Exploring Operation: 6+5=11, Resulting Numbers: [22, 11]
Generated Node #0,2,0: 44:[22, 11] Operation: 6+5=11
Exploring Operation: 6+22=28, Resulting Numbers: [5, 28]
Generated Node #0,2,1: 44:[5, 28] Operation: 6+22=28
Exploring Operation: 22-6=16, Resulting Numbers: [5, 16]
Generated Node #0,2,2: 44:[5, 16] Operation: 22-6=16
Exploring Operation: 22+5=27, Resulting Numbers: [6, 27]
Generated Node #0,2,3: 44:[6, 27] Operation: 22+5=27
Exploring Operation: 6-5=1, Resulting Numbers: [22, 1]
Generated Node #0,2,4: 44:[22, 1] Operation: 6-5=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 44:[22, 11], Operations: ['40/8=5', '6+5=11']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,44 unequal: No Solution
No 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: 44:[22, 1], Operations: ['40/8=5', '6-5=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,44 unequal: No Solution
No 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: 44:[5, 16], Operations: ['40/8=5', '22-6=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,44 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,44 unequal: No Solution
No 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: 44:[5, 28], Operations: ['40/8=5', '6+22=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,44 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,44 unequal: No Solution
No 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: 44:[6, 27], Operations: ['40/8=5', '22+5=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,44 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,44 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: 44:[40, 22, 2], Operations: ['8-6=2']
Exploring Operation: 22/2=11, Resulting Numbers: [40, 11]
Generated Node #0,3,0: 44:[40, 11] Operation: 22/2=11
Exploring Operation: 40+2=42, Resulting Numbers: [22, 42]
Generated Node #0,3,1: 44:[22, 42] Operation: 40+2=42
Exploring Operation: 40/2=20, Resulting Numbers: [22, 20]
Generated Node #0,3,2: 44:[22, 20] Operation: 40/2=20
Exploring Operation: 40-22=18, Resulting Numbers: [2, 18]
Generated Node #0,3,3: 44:[2, 18] Operation: 40-22=18
Exploring Operation: 22*2=44, Resulting Numbers: [40, 44]
Generated Node #0,3,4: 44:[40, 44] Operation: 22*2=44
Moving to Node #0,3,1
Current State: 44:[22, 42], Operations: ['8-6=2', '40+2=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[22, 20], Operations: ['8-6=2', '40/2=20']
Exploring Operation: 22*20=440, Resulting Numbers: [440]
440,44 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[40, 11], Operations: ['8-6=2', '22/2=11']
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 40*11=440, Resulting Numbers: [440]
440,44 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[2, 18], Operations: ['8-6=2', '40-22=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Moving to Node #0,3,4
Current State: 44:[40, 44], Operations: ['8-6=2', '22*2=44']
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,44 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 44:[8, 22, 46], Operations: ['40+6=46']
Exploring Operation: 46-8=38, Resulting Numbers: [22, 38]
Generated Node #0,4,0: 44:[22, 38] Operation: 46-8=38
Exploring Operation: 8+46=54, Resulting Numbers: [22, 54]
Generated Node #0,4,1: 44:[22, 54] Operation: 8+46=54
Exploring Operation: 46-22=24, Resulting Numbers: [8, 24]
Generated Node #0,4,2: 44:[8, 24] Operation: 46-22=24
Exploring Operation: 22-8=14, Resulting Numbers: [46, 14]
Generated Node #0,4,3: 44:[46, 14] Operation: 22-8=14
Exploring Operation: 8+22=30, Resulting Numbers: [46, 30]
Generated Node #0,4,4: 44:[46, 30] Operation: 8+22=30
Moving to Node #0,4,2
Current State: 44:[8, 24], Operations: ['40+6=46', '46-22=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,44 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Moving to Node #0,4,3
Current State: 44:[46, 14], Operations: ['40+6=46', '22-8=14']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 46*14=644, Resulting Numbers: [644]
644,44 unequal: No Solution
Moving to Node #0,4,0
Current State: 44:[22, 38], Operations: ['40+6=46', '46-8=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 22+38=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 22*38=836, Resulting Numbers: [836]
836,44 unequal: No Solution
Moving to Node #0,4,1
Current State: 44:[22, 54], Operations: ['40+6=46', '8+46=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 22*54=1188, Resulting Numbers: [1188]
1188,44 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Moving to Node #0,4,4
Current State: 44:[46, 30], Operations: ['40+6=46', '8+22=30']
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,44 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[6, 22, 48], Operations: ['40+8=48']
Exploring Operation: 48-22=26, Resulting Numbers: [6, 26]
Generated Node #0,0,0: 44:[6, 26] Operation: 48-22=26
Exploring Operation: 48/6=8, Resulting Numbers: [22, 8]
Generated Node #0,0,1: 44:[22, 8] Operation: 48/6=8
Exploring Operation: 22-6=16, Resulting Numbers: [48, 16]
Generated Node #0,0,2: 44:[48, 16] Operation: 22-6=16
Exploring Operation: 48-6=42, Resulting Numbers: [22, 42]
Generated Node #0,0,3: 44:[22, 42] Operation: 48-6=42
Exploring Operation: 6+22=28, Resulting Numbers: [48, 28]
Generated Node #0,0,4: 44:[48, 28] Operation: 6+22=28
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 44:[22, 42], Operations: ['40+8=48', '48-6=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,44 unequal: No Solution
No 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: 44:[22, 8], Operations: ['40+8=48', '48/6=8']
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,44 unequal: No Solution
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,44 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,44 unequal: No Solution
No 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: 44:[6, 26], Operations: ['40+8=48', '48-22=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,44 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,44 unequal: No Solution
No 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: 44:[48, 16], Operations: ['40+8=48', '22-6=16']
Exploring Operation: 48*16=768, Resulting Numbers: [768]
768,44 unequal: No Solution
Exploring Operation: 48+16=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,44 unequal: No Solution
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,44 unequal: No Solution
No 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: 44:[48, 28], Operations: ['40+8=48', '6+22=28']
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 48*28=1344, Resulting Numbers: [1344]
1344,44 unequal: No Solution
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,44 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: 44:[40, 22, 14], Operations: ['8+6=14']
Exploring Operation: 40-14=26, Resulting Numbers: [22, 26]
Generated Node #0,1,0: 44:[22, 26] Operation: 40-14=26
Exploring Operation: 40-22=18, Resulting Numbers: [14, 18]
Generated Node #0,1,1: 44:[14, 18] Operation: 40-22=18
Exploring Operation: 22-14=8, Resulting Numbers: [40, 8]
Generated Node #0,1,2: 44:[40, 8] Operation: 22-14=8
Exploring Operation: 40+14=54, Resulting Numbers: [22, 54]
Generated Node #0,1,3: 44:[22, 54] Operation: 40+14=54
Exploring Operation: 22+14=36, Resulting Numbers: [40, 36]
Generated Node #0,1,4: 44:[40, 36] Operation: 22+14=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[22, 26], Operations: ['8+6=14', '40-14=26']
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,44 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No 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: 44:[14, 18], Operations: ['8+6=14', '40-22=18']
Exploring Operation: 14*18=252, Resulting Numbers: [252]
252,44 unequal: No Solution
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No 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: 44:[40, 8], Operations: ['8+6=14', '22-14=8']
Exploring Operation: 40*8=320, Resulting Numbers: [320]
320,44 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,44 unequal: No Solution
No 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: 44:[22, 54], Operations: ['8+6=14', '40+14=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,44 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 22*54=1188, Resulting Numbers: [1188]
1188,44 unequal: No Solution
No 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: 44:[40, 36], Operations: ['8+6=14', '22+14=36']
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,44 unequal: No Solution
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
86,
17,
5,
77
] | 62 | [
"86-77=9",
"5*9=45",
"17+45=62"
] | Current State: 62:[86, 17, 5, 77], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [17, 5, 9]
Generated Node #2: [17, 5, 9] from Operation: 86-77=9
Current State: 62:[17, 5, 9], Operations: ['86-77=9']
Exploring Operation: 5*9=45, Resulting Numbers: [17, 45]
Generated Node #3: [17, 45] from Operation: 5*9=45
Current State: 62:[17, 45], Operations: ['86-77=9', '5*9=45']
Exploring Operation: 17+45=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[86, 17, 5, 77], Operations: []
Exploring Operation: 77-17=60, Resulting Numbers: [86, 5, 60]
Generated Node #0,0: 62:[86, 5, 60] Operation: 77-17=60
Exploring Operation: 86-17=69, Resulting Numbers: [5, 77, 69]
Generated Node #0,1: 62:[5, 77, 69] Operation: 86-17=69
Exploring Operation: 86-77=9, Resulting Numbers: [17, 5, 9]
Generated Node #0,2: 62:[17, 5, 9] Operation: 86-77=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[17, 5, 9], Operations: ['86-77=9']
Exploring Operation: 17+9=26, Resulting Numbers: [5, 26]
Generated Node #0,2,0: 62:[5, 26] Operation: 17+9=26
Exploring Operation: 17+5=22, Resulting Numbers: [9, 22]
Generated Node #0,2,1: 62:[9, 22] Operation: 17+5=22
Exploring Operation: 17-9=8, Resulting Numbers: [5, 8]
Generated Node #0,2,2: 62:[5, 8] Operation: 17-9=8
Moving to Node #0,2,0
Current State: 62:[5, 26], Operations: ['86-77=9', '17+9=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,62 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[5, 8], Operations: ['86-77=9', '17-9=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[9, 22], Operations: ['86-77=9', '17+5=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,62 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,62 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 #0,1
Current State: 62:[5, 77, 69], Operations: ['86-17=69']
Exploring Operation: 77-69=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 62:[5, 8] Operation: 77-69=8
Exploring Operation: 69-5=64, Resulting Numbers: [77, 64]
Generated Node #0,1,1: 62:[77, 64] Operation: 69-5=64
Exploring Operation: 77-5=72, Resulting Numbers: [69, 72]
Generated Node #0,1,2: 62:[69, 72] Operation: 77-5=72
Moving to Node #0,1,0
Current State: 62:[5, 8], Operations: ['86-17=69', '77-69=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,62 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[77, 64], Operations: ['86-17=69', '69-5=64']
Exploring Operation: 77*64=4928, Resulting Numbers: [4928]
4928,62 unequal: No Solution
Exploring Operation: 77+64=141, Resulting Numbers: [141]
141,62 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[69, 72], Operations: ['86-17=69', '77-5=72']
Exploring Operation: 69+72=141, Resulting Numbers: [141]
141,62 unequal: No Solution
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 69*72=4968, Resulting Numbers: [4968]
4968,62 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 #0,0
Current State: 62:[86, 5, 60], Operations: ['77-17=60']
Exploring Operation: 5+60=65, Resulting Numbers: [86, 65]
Generated Node #0,0,0: 62:[86, 65] Operation: 5+60=65
Exploring Operation: 86-60=26, Resulting Numbers: [5, 26]
Generated Node #0,0,1: 62:[5, 26] Operation: 86-60=26
Exploring Operation: 86-5=81, Resulting Numbers: [60, 81]
Generated Node #0,0,2: 62:[60, 81] Operation: 86-5=81
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 62:[5, 26], Operations: ['77-17=60', '86-60=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,62 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,62 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:[60, 81], Operations: ['77-17=60', '86-5=81']
Exploring Operation: 60*81=4860, Resulting Numbers: [4860]
4860,62 unequal: No Solution
Exploring Operation: 60+81=141, Resulting Numbers: [141]
141,62 unequal: No Solution
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,62 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:[86, 65], Operations: ['77-17=60', '5+60=65']
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 86*65=5590, Resulting Numbers: [5590]
5590,62 unequal: No Solution
Exploring Operation: 86+65=151, Resulting Numbers: [151]
151,62 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_3 | sum_heuristic |
[
4,
18,
66,
66
] | 54 | [
"66-18=48",
"48/4=12",
"66-12=54"
] | Current State: 54:[4, 18, 66, 66], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [4, 48]
Generated Node #2: [4, 48] from Operation: 66-18=48
Current State: 54:[4, 48], Operations: ['66-18=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,54 equal: Goal Reached
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[4, 18, 66, 66], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [4, 18, 1]
Generated Node #0,0: 54:[4, 18, 1] Operation: 66/66=1
Exploring Operation: 66-66=0, Resulting Numbers: [4, 18, 0]
Generated Node #0,1: 54:[4, 18, 0] Operation: 66-66=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[4, 18, 1], Operations: ['66/66=1']
Exploring Operation: 4-1=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 54:[18, 3] Operation: 4-1=3
Exploring Operation: 4+1=5, Resulting Numbers: [18, 5]
Generated Node #0,0,1: 54:[18, 5] Operation: 4+1=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[18, 3], Operations: ['66/66=1', '4-1=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[4, 18, 66, 66], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [4, 18, 1]
Generated Node #0,0: 54:[4, 18, 1] Operation: 66/66=1
Moving to Node #0,0
Current State: 54:[4, 18, 1], Operations: ['66/66=1']
Exploring Operation: 4-1=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 54:[18, 3] Operation: 4-1=3
Moving to Node #0,0,0
Current State: 54:[18, 3], Operations: ['66/66=1', '4-1=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
55,
79,
40,
87
] | 11 | [
"87-79=8",
"55*8=440",
"440/40=11"
] | Current State: 11:[55, 79, 40, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [55, 40, 8]
Generated Node #2: [55, 40, 8] from Operation: 87-79=8
Current State: 11:[55, 40, 8], Operations: ['87-79=8']
Exploring Operation: 55*8=440, Resulting Numbers: [40, 440]
Generated Node #3: [40, 440] from Operation: 55*8=440
Current State: 11:[40, 440], Operations: ['87-79=8', '55*8=440']
Exploring Operation: 440/40=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[55, 79, 40, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [55, 40, 8]
Generated Node #0,0: 11:[55, 40, 8] Operation: 87-79=8
Exploring Operation: 79-55=24, Resulting Numbers: [40, 87, 24]
Generated Node #0,1: 11:[40, 87, 24] Operation: 79-55=24
Exploring Operation: 55-40=15, Resulting Numbers: [79, 87, 15]
Generated Node #0,2: 11:[79, 87, 15] Operation: 55-40=15
Exploring Operation: 87-55=32, Resulting Numbers: [79, 40, 32]
Generated Node #0,3: 11:[79, 40, 32] Operation: 87-55=32
Exploring Operation: 79-40=39, Resulting Numbers: [55, 87, 39]
Generated Node #0,4: 11:[55, 87, 39] Operation: 79-40=39
Moving to Node #0,0
Current State: 11:[55, 40, 8], Operations: ['87-79=8']
Exploring Operation: 40-8=32, Resulting Numbers: [55, 32]
Generated Node #0,0,0: 11:[55, 32] Operation: 40-8=32
Exploring Operation: 55+8=63, Resulting Numbers: [40, 63]
Generated Node #0,0,1: 11:[40, 63] Operation: 55+8=63
Exploring Operation: 40/8=5, Resulting Numbers: [55, 5]
Generated Node #0,0,2: 11:[55, 5] Operation: 40/8=5
Exploring Operation: 55-8=47, Resulting Numbers: [40, 47]
Generated Node #0,0,3: 11:[40, 47] Operation: 55-8=47
Exploring Operation: 55-40=15, Resulting Numbers: [8, 15]
Generated Node #0,0,4: 11:[8, 15] Operation: 55-40=15
Moving to Node #0,3
Current State: 11:[79, 40, 32], Operations: ['87-55=32']
Exploring Operation: 79-32=47, Resulting Numbers: [40, 47]
Generated Node #0,3,0: 11:[40, 47] Operation: 79-32=47
Exploring Operation: 79+40=119, Resulting Numbers: [32, 119]
Generated Node #0,3,1: 11:[32, 119] Operation: 79+40=119
Exploring Operation: 79-40=39, Resulting Numbers: [32, 39]
Generated Node #0,3,2: 11:[32, 39] Operation: 79-40=39
Exploring Operation: 79+32=111, Resulting Numbers: [40, 111]
Generated Node #0,3,3: 11:[40, 111] Operation: 79+32=111
Exploring Operation: 40-32=8, Resulting Numbers: [79, 8]
Generated Node #0,3,4: 11:[79, 8] Operation: 40-32=8
Moving to Node #0,1
Current State: 11:[40, 87, 24], Operations: ['79-55=24']
Exploring Operation: 40-24=16, Resulting Numbers: [87, 16]
Generated Node #0,1,0: 11:[87, 16] Operation: 40-24=16
Exploring Operation: 87-24=63, Resulting Numbers: [40, 63]
Generated Node #0,1,1: 11:[40, 63] Operation: 87-24=63
Exploring Operation: 40+87=127, Resulting Numbers: [24, 127]
Generated Node #0,1,2: 11:[24, 127] Operation: 40+87=127
Exploring Operation: 40+24=64, Resulting Numbers: [87, 64]
Generated Node #0,1,3: 11:[87, 64] Operation: 40+24=64
Exploring Operation: 87-40=47, Resulting Numbers: [24, 47]
Generated Node #0,1,4: 11:[24, 47] Operation: 87-40=47
Moving to Node #0,2
Current State: 11:[79, 87, 15], Operations: ['55-40=15']
Exploring Operation: 79+87=166, Resulting Numbers: [15, 166]
Generated Node #0,2,0: 11:[15, 166] Operation: 79+87=166
Exploring Operation: 87-15=72, Resulting Numbers: [79, 72]
Generated Node #0,2,1: 11:[79, 72] Operation: 87-15=72
Exploring Operation: 79-15=64, Resulting Numbers: [87, 64]
Generated Node #0,2,2: 11:[87, 64] Operation: 79-15=64
Exploring Operation: 87-79=8, Resulting Numbers: [15, 8]
Generated Node #0,2,3: 11:[15, 8] Operation: 87-79=8
Exploring Operation: 79+15=94, Resulting Numbers: [87, 94]
Generated Node #0,2,4: 11:[87, 94] Operation: 79+15=94
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 11:[15, 8], Operations: ['55-40=15', '87-79=8']
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 11:[79, 72], Operations: ['55-40=15', '87-15=72']
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 79+72=151, Resulting Numbers: [151]
151,11 unequal: No Solution
Exploring Operation: 79*72=5688, Resulting Numbers: [5688]
5688,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 11:[87, 64], Operations: ['55-40=15', '79-15=64']
Exploring Operation: 87+64=151, Resulting Numbers: [151]
151,11 unequal: No Solution
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 87*64=5568, Resulting Numbers: [5568]
5568,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[15, 166], Operations: ['55-40=15', '79+87=166']
Exploring Operation: 166-15=151, Resulting Numbers: [151]
151,11 unequal: No Solution
Exploring Operation: 15+166=181, Resulting Numbers: [181]
181,11 unequal: No Solution
Exploring Operation: 15*166=2490, Resulting Numbers: [2490]
2490,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 11:[87, 94], Operations: ['55-40=15', '79+15=94']
Exploring Operation: 87*94=8178, Resulting Numbers: [8178]
8178,11 unequal: No Solution
Exploring Operation: 94-87=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 87+94=181, Resulting Numbers: [181]
181,11 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: 11:[55, 87, 39], Operations: ['79-40=39']
Exploring Operation: 55-39=16, Resulting Numbers: [87, 16]
Generated Node #0,4,0: 11:[87, 16] Operation: 55-39=16
Exploring Operation: 55+87=142, Resulting Numbers: [39, 142]
Generated Node #0,4,1: 11:[39, 142] Operation: 55+87=142
Exploring Operation: 87-55=32, Resulting Numbers: [39, 32]
Generated Node #0,4,2: 11:[39, 32] Operation: 87-55=32
Exploring Operation: 87-39=48, Resulting Numbers: [55, 48]
Generated Node #0,4,3: 11:[55, 48] Operation: 87-39=48
Exploring Operation: 55+39=94, Resulting Numbers: [87, 94]
Generated Node #0,4,4: 11:[87, 94] Operation: 55+39=94
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 11:[39, 32], Operations: ['79-40=39', '87-55=32']
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 11:[87, 16], Operations: ['79-40=39', '55-39=16']
Exploring Operation: 87*16=1392, Resulting Numbers: [1392]
1392,11 unequal: No Solution
Exploring Operation: 87+16=103, Resulting Numbers: [103]
103,11 unequal: No Solution
Exploring Operation: 87-16=71, Resulting Numbers: [71]
71,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 11:[55, 48], Operations: ['79-40=39', '87-39=48']
Exploring Operation: 55-48=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 55+48=103, Resulting Numbers: [103]
103,11 unequal: No Solution
Exploring Operation: 55*48=2640, Resulting Numbers: [2640]
2640,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[39, 142], Operations: ['79-40=39', '55+87=142']
Exploring Operation: 142-39=103, Resulting Numbers: [103]
103,11 unequal: No Solution
Exploring Operation: 39*142=5538, Resulting Numbers: [5538]
5538,11 unequal: No Solution
Exploring Operation: 39+142=181, Resulting Numbers: [181]
181,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 11:[87, 94], Operations: ['79-40=39', '55+39=94']
Exploring Operation: 87*94=8178, Resulting Numbers: [8178]
8178,11 unequal: No Solution
Exploring Operation: 87+94=181, Resulting Numbers: [181]
181,11 unequal: No Solution
Exploring Operation: 94-87=7, Resulting Numbers: [7]
7,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 11:[8, 15], Operations: ['87-79=8', '55-40=15']
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[32, 39], Operations: ['87-55=32', '79-40=39']
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 32*39=1248, Resulting Numbers: [1248]
1248,11 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[24, 47], Operations: ['79-55=24', '87-40=47']
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,11 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[55, 5], Operations: ['87-79=8', '40/8=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,11 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[55, 79, 40, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [55, 40, 8]
Generated Node #0,0: 11:[55, 40, 8] Operation: 87-79=8
Moving to Node #0,0
Current State: 11:[55, 40, 8], Operations: ['87-79=8']
Exploring Operation: 40/8=5, Resulting Numbers: [55, 5]
Generated Node #0,0,2: 11:[55, 5] Operation: 40/8=5
Moving to Node #0,0,2
Current State: 11:[55, 5], Operations: ['87-79=8', '40/8=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.934028 | hs_5 | sum_heuristic |
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