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 |
|---|---|---|---|---|---|---|---|---|
[
15,
78,
81,
65
] | 77
|
[
"15+78=93",
"81-65=16",
"93-16=77"
] |
Current State: 77:[15, 78, 81, 65], Operations: []
Exploring Operation: 15+78=93, Resulting Numbers: [81, 65, 93]
Generated Node #2: [81, 65, 93] from Operation: 15+78=93
Current State: 77:[81, 65, 93], Operations: ['15+78=93']
Exploring Operation: 81-65=16, Resulting Numbers: [93, 16]
Generated Node #3: [93, 16] from Operation: 81-65=16
Current State: 77:[93, 16], Operations: ['15+78=93', '81-65=16']
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[15, 78, 81, 65], Operations: []
Exploring Operation: 15+65=80, Resulting Numbers: [78, 81, 80]
Generated Node #0,0: 77:[78, 81, 80] Operation: 15+65=80
Moving to Node #0,0
Current State: 77:[78, 81, 80], Operations: ['15+65=80']
Exploring Operation: 81-78=3, Resulting Numbers: [80, 3]
Generated Node #0,0,0: 77:[80, 3] Operation: 81-78=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[80, 3], Operations: ['15+65=80', '81-78=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[15, 78, 81, 65], Operations: []
Exploring Operation: 15+65=80, Resulting Numbers: [78, 81, 80]
Generated Node #0,0: 77:[78, 81, 80] Operation: 15+65=80
Moving to Node #0,0
Current State: 77:[78, 81, 80], Operations: ['15+65=80']
Exploring Operation: 81-78=3, Resulting Numbers: [80, 3]
Generated Node #0,0,0: 77:[80, 3] Operation: 81-78=3
Moving to Node #0,0,0
Current State: 77:[80, 3], Operations: ['15+65=80', '81-78=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
91,
4,
11,
59
] | 96
|
[
"59-4=55",
"55/11=5",
"91+5=96"
] |
Current State: 96:[91, 4, 11, 59], Operations: []
Exploring Operation: 59-4=55, Resulting Numbers: [91, 11, 55]
Generated Node #2: [91, 11, 55] from Operation: 59-4=55
Current State: 96:[91, 11, 55], Operations: ['59-4=55']
Exploring Operation: 55/11=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 55/11=5
Current State: 96:[91, 5], Operations: ['59-4=55', '55/11=5']
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[91, 4, 11, 59], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [91, 4, 48]
Generated Node #0,0: 96:[91, 4, 48] Operation: 59-11=48
Exploring Operation: 91-59=32, Resulting Numbers: [4, 11, 32]
Generated Node #0,1: 96:[4, 11, 32] Operation: 91-59=32
Exploring Operation: 59-4=55, Resulting Numbers: [91, 11, 55]
Generated Node #0,2: 96:[91, 11, 55] Operation: 59-4=55
Exploring Operation: 91+4=95, Resulting Numbers: [11, 59, 95]
Generated Node #0,3: 96:[11, 59, 95] Operation: 91+4=95
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[4, 11, 32], Operations: ['91-59=32']
Exploring Operation: 32/4=8, Resulting Numbers: [11, 8]
Generated Node #0,1,0: 96:[11, 8] Operation: 32/4=8
Exploring Operation: 11-4=7, Resulting Numbers: [32, 7]
Generated Node #0,1,1: 96:[32, 7] Operation: 11-4=7
Exploring Operation: 32-11=21, Resulting Numbers: [4, 21]
Generated Node #0,1,2: 96:[4, 21] Operation: 32-11=21
Exploring Operation: 4+11=15, Resulting Numbers: [32, 15]
Generated Node #0,1,3: 96:[32, 15] Operation: 4+11=15
Moving to Node #0,1,0
Current State: 96:[11, 8], Operations: ['91-59=32', '32/4=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,96 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,96 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[32, 15], Operations: ['91-59=32', '4+11=15']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,96 unequal: No Solution
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,96 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[32, 7], Operations: ['91-59=32', '11-4=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[4, 21], Operations: ['91-59=32', '32-11=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,96 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[91, 4, 48], Operations: ['59-11=48']
Exploring Operation: 48/4=12, Resulting Numbers: [91, 12]
Generated Node #0,0,0: 96:[91, 12] Operation: 48/4=12
Exploring Operation: 91-48=43, Resulting Numbers: [4, 43]
Generated Node #0,0,1: 96:[4, 43] Operation: 91-48=43
Exploring Operation: 91+4=95, Resulting Numbers: [48, 95]
Generated Node #0,0,2: 96:[48, 95] Operation: 91+4=95
Exploring Operation: 91-4=87, Resulting Numbers: [48, 87]
Generated Node #0,0,3: 96:[48, 87] Operation: 91-4=87
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 96:[48, 95], Operations: ['59-11=48', '91+4=95']
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 48*95=4560, Resulting Numbers: [4560]
4560,96 unequal: No Solution
Exploring Operation: 48+95=143, Resulting Numbers: [143]
143,96 unequal: No Solution
No 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: 96:[91, 12], Operations: ['59-11=48', '48/4=12']
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,96 unequal: No Solution
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,96 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,96 unequal: No Solution
No 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: 96:[4, 43], Operations: ['59-11=48', '91-48=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,96 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,96 unequal: No Solution
No 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: 96:[48, 87], Operations: ['59-11=48', '91-4=87']
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,96 unequal: No Solution
Exploring Operation: 48+87=135, Resulting Numbers: [135]
135,96 unequal: No Solution
Exploring Operation: 48*87=4176, Resulting Numbers: [4176]
4176,96 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: 96:[91, 11, 55], Operations: ['59-4=55']
Exploring Operation: 55-11=44, Resulting Numbers: [91, 44]
Generated Node #0,2,0: 96:[91, 44] Operation: 55-11=44
Exploring Operation: 91+11=102, Resulting Numbers: [55, 102]
Generated Node #0,2,1: 96:[55, 102] Operation: 91+11=102
Exploring Operation: 91-55=36, Resulting Numbers: [11, 36]
Generated Node #0,2,2: 96:[11, 36] Operation: 91-55=36
Exploring Operation: 55/11=5, Resulting Numbers: [91, 5]
Generated Node #0,2,3: 96:[91, 5] Operation: 55/11=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[11, 36], Operations: ['59-4=55', '91-55=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,96 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,96 unequal: No Solution
No 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: 96:[91, 5], Operations: ['59-4=55', '55/11=5']
Exploring Operation: 91*5=455, Resulting Numbers: [455]
455,96 unequal: No Solution
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[91, 4, 11, 59], Operations: []
Exploring Operation: 59-4=55, Resulting Numbers: [91, 11, 55]
Generated Node #0,2: 96:[91, 11, 55] Operation: 59-4=55
Moving to Node #0,2
Current State: 96:[91, 11, 55], Operations: ['59-4=55']
Exploring Operation: 55/11=5, Resulting Numbers: [91, 5]
Generated Node #0,2,3: 96:[91, 5] Operation: 55/11=5
Moving to Node #0,2,3
Current State: 96:[91, 5], Operations: ['59-4=55', '55/11=5']
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.957465
|
hs_4
|
mult_heuristic
|
[
55,
60,
24,
11
] | 11
|
[
"55*24=1320",
"1320/60=22",
"22-11=11"
] |
Current State: 11:[55, 60, 24, 11], Operations: []
Exploring Operation: 55*24=1320, Resulting Numbers: [60, 11, 1320]
Generated Node #2: [60, 11, 1320] from Operation: 55*24=1320
Current State: 11:[60, 11, 1320], Operations: ['55*24=1320']
Exploring Operation: 1320/60=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 1320/60=22
Current State: 11:[11, 22], Operations: ['55*24=1320', '1320/60=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[55, 60, 24, 11], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [24, 11, 5]
Generated Node #0,0: 11:[24, 11, 5] Operation: 60-55=5
Exploring Operation: 60-24=36, Resulting Numbers: [55, 11, 36]
Generated Node #0,1: 11:[55, 11, 36] Operation: 60-24=36
Exploring Operation: 55/11=5, Resulting Numbers: [60, 24, 5]
Generated Node #0,2: 11:[60, 24, 5] Operation: 55/11=5
Exploring Operation: 55-24=31, Resulting Numbers: [60, 11, 31]
Generated Node #0,3: 11:[60, 11, 31] Operation: 55-24=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[24, 11, 5], Operations: ['60-55=5']
Exploring Operation: 24-5=19, Resulting Numbers: [11, 19]
Generated Node #0,0,0: 11:[11, 19] Operation: 24-5=19
Exploring Operation: 24+5=29, Resulting Numbers: [11, 29]
Generated Node #0,0,1: 11:[11, 29] Operation: 24+5=29
Exploring Operation: 24-11=13, Resulting Numbers: [5, 13]
Generated Node #0,0,2: 11:[5, 13] Operation: 24-11=13
Exploring Operation: 11+5=16, Resulting Numbers: [24, 16]
Generated Node #0,0,3: 11:[24, 16] Operation: 11+5=16
Moving to Node #0,0,0
Current State: 11:[11, 19], Operations: ['60-55=5', '24-5=19']
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,11 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[5, 13], Operations: ['60-55=5', '24-11=13']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,11 unequal: No Solution
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[24, 16], Operations: ['60-55=5', '11+5=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[11, 29], Operations: ['60-55=5', '24+5=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,11 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,11 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
Current State: 11:[60, 24, 5], Operations: ['55/11=5']
Exploring Operation: 60-24=36, Resulting Numbers: [5, 36]
Generated Node #0,2,0: 11:[5, 36] Operation: 60-24=36
Exploring Operation: 60/5=12, Resulting Numbers: [24, 12]
Generated Node #0,2,1: 11:[24, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [24, 55]
Generated Node #0,2,2: 11:[24, 55] Operation: 60-5=55
Exploring Operation: 24-5=19, Resulting Numbers: [60, 19]
Generated Node #0,2,3: 11:[60, 19] Operation: 24-5=19
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 11:[24, 12], Operations: ['55/11=5', '60/5=12']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Exploring Operation: 24*12=288, Resulting Numbers: [288]
288,11 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 11:[5, 36], Operations: ['55/11=5', '60-24=36']
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,11 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 11:[24, 55], Operations: ['55/11=5', '60-5=55']
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 11:[60, 19], Operations: ['55/11=5', '24-5=19']
Exploring Operation: 60*19=1140, Resulting Numbers: [1140]
1140,11 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[55, 11, 36], Operations: ['60-24=36']
Exploring Operation: 55-36=19, Resulting Numbers: [11, 19]
Generated Node #0,1,0: 11:[11, 19] Operation: 55-36=19
Exploring Operation: 55-11=44, Resulting Numbers: [36, 44]
Generated Node #0,1,1: 11:[36, 44] Operation: 55-11=44
Exploring Operation: 36-11=25, Resulting Numbers: [55, 25]
Generated Node #0,1,2: 11:[55, 25] Operation: 36-11=25
Exploring Operation: 55/11=5, Resulting Numbers: [36, 5]
Generated Node #0,1,3: 11:[36, 5] Operation: 55/11=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[11, 19], Operations: ['60-24=36', '55-36=19']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 11*19=209, Resulting Numbers: [209]
209,11 unequal: No Solution
Exploring Operation: 11+19=30, Resulting Numbers: [30]
30,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 11:[36, 5], Operations: ['60-24=36', '55/11=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,11 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,11 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[36, 44], Operations: ['60-24=36', '55-11=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,11 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[55, 25], Operations: ['60-24=36', '36-11=25']
Exploring Operation: 55+25=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 55*25=1375, Resulting Numbers: [1375]
1375,11 unequal: No Solution
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[60, 11, 31], Operations: ['55-24=31']
Exploring Operation: 60+11=71, Resulting Numbers: [31, 71]
Generated Node #0,3,0: 11:[31, 71] Operation: 60+11=71
Exploring Operation: 31-11=20, Resulting Numbers: [60, 20]
Generated Node #0,3,1: 11:[60, 20] Operation: 31-11=20
Exploring Operation: 60-31=29, Resulting Numbers: [11, 29]
Generated Node #0,3,2: 11:[11, 29] Operation: 60-31=29
Exploring Operation: 60-11=49, Resulting Numbers: [31, 49]
Generated Node #0,3,3: 11:[31, 49] Operation: 60-11=49
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 11:[11, 29], Operations: ['55-24=31', '60-31=29']
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 11:[60, 20], Operations: ['55-24=31', '31-11=20']
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 60*20=1200, Resulting Numbers: [1200]
1200,11 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 11:[31, 49], Operations: ['55-24=31', '60-11=49']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 31*49=1519, Resulting Numbers: [1519]
1519,11 unequal: No Solution
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 11:[31, 71], Operations: ['55-24=31', '60+11=71']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 31*71=2201, Resulting Numbers: [2201]
2201,11 unequal: No Solution
Exploring Operation: 31+71=102, Resulting Numbers: [102]
102,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
49,
2,
4,
27
] | 95
|
[
"27-4=23",
"2*23=46",
"49+46=95"
] |
Current State: 95:[49, 2, 4, 27], Operations: []
Exploring Operation: 27-4=23, Resulting Numbers: [49, 2, 23]
Generated Node #2: [49, 2, 23] from Operation: 27-4=23
Current State: 95:[49, 2, 23], Operations: ['27-4=23']
Exploring Operation: 2*23=46, Resulting Numbers: [49, 46]
Generated Node #3: [49, 46] from Operation: 2*23=46
Current State: 95:[49, 46], Operations: ['27-4=23', '2*23=46']
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[49, 2, 4, 27], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [2, 4, 22]
Generated Node #0,0: 95:[2, 4, 22] Operation: 49-27=22
Exploring Operation: 49+27=76, Resulting Numbers: [2, 4, 76]
Generated Node #0,1: 95:[2, 4, 76] Operation: 49+27=76
Exploring Operation: 49*2=98, Resulting Numbers: [4, 27, 98]
Generated Node #0,2: 95:[4, 27, 98] Operation: 49*2=98
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[2, 4, 22], Operations: ['49-27=22']
Exploring Operation: 22-2=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 95:[4, 20] Operation: 22-2=20
Exploring Operation: 2+4=6, Resulting Numbers: [22, 6]
Generated Node #0,0,1: 95:[22, 6] Operation: 2+4=6
Exploring Operation: 22-4=18, Resulting Numbers: [2, 18]
Generated Node #0,0,2: 95:[2, 18] Operation: 22-4=18
Moving to Node #0,0,0
Current State: 95:[4, 20], Operations: ['49-27=22', '22-2=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[22, 6], Operations: ['49-27=22', '2+4=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,95 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[2, 18], Operations: ['49-27=22', '22-4=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[4, 27, 98], Operations: ['49*2=98']
Exploring Operation: 4+27=31, Resulting Numbers: [98, 31]
Generated Node #0,2,0: 95:[98, 31] Operation: 4+27=31
Exploring Operation: 27-4=23, Resulting Numbers: [98, 23]
Generated Node #0,2,1: 95:[98, 23] Operation: 27-4=23
Exploring Operation: 98-4=94, Resulting Numbers: [27, 94]
Generated Node #0,2,2: 95:[27, 94] Operation: 98-4=94
Moving to Node #0,2,1
Current State: 95:[98, 23], Operations: ['49*2=98', '27-4=23']
Exploring Operation: 98+23=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Exploring Operation: 98*23=2254, Resulting Numbers: [2254]
2254,95 unequal: No Solution
Exploring Operation: 98-23=75, Resulting Numbers: [75]
75,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[27, 94], Operations: ['49*2=98', '98-4=94']
Exploring Operation: 27*94=2538, Resulting Numbers: [2538]
2538,95 unequal: No Solution
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,95 unequal: No Solution
Exploring Operation: 27+94=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[98, 31], Operations: ['49*2=98', '4+27=31']
Exploring Operation: 98*31=3038, Resulting Numbers: [3038]
3038,95 unequal: No Solution
Exploring Operation: 98+31=129, Resulting Numbers: [129]
129,95 unequal: No Solution
Exploring Operation: 98-31=67, Resulting Numbers: [67]
67,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[2, 4, 76], Operations: ['49+27=76']
Exploring Operation: 4+76=80, Resulting Numbers: [2, 80]
Generated Node #0,1,0: 95:[2, 80] Operation: 4+76=80
Exploring Operation: 2+76=78, Resulting Numbers: [4, 78]
Generated Node #0,1,1: 95:[4, 78] Operation: 2+76=78
Exploring Operation: 76/4=19, Resulting Numbers: [2, 19]
Generated Node #0,1,2: 95:[2, 19] Operation: 76/4=19
Moving to Node #0,1,2
Current State: 95:[2, 19], Operations: ['49+27=76', '76/4=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[2, 80], Operations: ['49+27=76', '4+76=80']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,95 unequal: No Solution
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,95 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[4, 78], Operations: ['49+27=76', '2+76=78']
Exploring Operation: 4*78=312, Resulting Numbers: [312]
312,95 unequal: No Solution
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 4+78=82, Resulting Numbers: [82]
82,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
76,
22,
61,
70
] | 24
|
[
"22*70=1540",
"1540-76=1464",
"1464/61=24"
] |
Current State: 24:[76, 22, 61, 70], Operations: []
Exploring Operation: 22*70=1540, Resulting Numbers: [76, 61, 1540]
Generated Node #2: [76, 61, 1540] from Operation: 22*70=1540
Current State: 24:[76, 61, 1540], Operations: ['22*70=1540']
Exploring Operation: 1540-76=1464, Resulting Numbers: [61, 1464]
Generated Node #3: [61, 1464] from Operation: 1540-76=1464
Current State: 24:[61, 1464], Operations: ['22*70=1540', '1540-76=1464']
Exploring Operation: 1464/61=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[76, 22, 61, 70], Operations: []
Exploring Operation: 61-22=39, Resulting Numbers: [76, 70, 39]
Generated Node #0,0: 24:[76, 70, 39] Operation: 61-22=39
Exploring Operation: 76-70=6, Resulting Numbers: [22, 61, 6]
Generated Node #0,1: 24:[22, 61, 6] Operation: 76-70=6
Exploring Operation: 70-61=9, Resulting Numbers: [76, 22, 9]
Generated Node #0,2: 24:[76, 22, 9] Operation: 70-61=9
Exploring Operation: 76-22=54, Resulting Numbers: [61, 70, 54]
Generated Node #0,3: 24:[61, 70, 54] Operation: 76-22=54
Exploring Operation: 76-61=15, Resulting Numbers: [22, 70, 15]
Generated Node #0,4: 24:[22, 70, 15] Operation: 76-61=15
Moving to Node #0,1
Current State: 24:[22, 61, 6], Operations: ['76-70=6']
Exploring Operation: 22-6=16, Resulting Numbers: [61, 16]
Generated Node #0,1,0: 24:[61, 16] Operation: 22-6=16
Exploring Operation: 61-22=39, Resulting Numbers: [6, 39]
Generated Node #0,1,1: 24:[6, 39] Operation: 61-22=39
Exploring Operation: 61+6=67, Resulting Numbers: [22, 67]
Generated Node #0,1,2: 24:[22, 67] Operation: 61+6=67
Exploring Operation: 22+6=28, Resulting Numbers: [61, 28]
Generated Node #0,1,3: 24:[61, 28] Operation: 22+6=28
Exploring Operation: 61-6=55, Resulting Numbers: [22, 55]
Generated Node #0,1,4: 24:[22, 55] Operation: 61-6=55
Moving to Node #0,4
Current State: 24:[22, 70, 15], Operations: ['76-61=15']
Exploring Operation: 22-15=7, Resulting Numbers: [70, 7]
Generated Node #0,4,0: 24:[70, 7] Operation: 22-15=7
Exploring Operation: 22+15=37, Resulting Numbers: [70, 37]
Generated Node #0,4,1: 24:[70, 37] Operation: 22+15=37
Exploring Operation: 70-15=55, Resulting Numbers: [22, 55]
Generated Node #0,4,2: 24:[22, 55] Operation: 70-15=55
Exploring Operation: 70+15=85, Resulting Numbers: [22, 85]
Generated Node #0,4,3: 24:[22, 85] Operation: 70+15=85
Exploring Operation: 70-22=48, Resulting Numbers: [15, 48]
Generated Node #0,4,4: 24:[15, 48] Operation: 70-22=48
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 24:[15, 48], Operations: ['76-61=15', '70-22=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,24 unequal: No Solution
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 24:[22, 55], Operations: ['76-61=15', '70-15=55']
Exploring Operation: 22*55=1210, Resulting Numbers: [1210]
1210,24 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 24:[70, 7], Operations: ['76-61=15', '22-15=7']
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,24 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,24 unequal: No Solution
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 24:[70, 37], Operations: ['76-61=15', '22+15=37']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,24 unequal: No Solution
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 24:[22, 85], Operations: ['76-61=15', '70+15=85']
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,24 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,24 unequal: No Solution
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,24 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: 24:[76, 22, 9], Operations: ['70-61=9']
Exploring Operation: 22-9=13, Resulting Numbers: [76, 13]
Generated Node #0,2,0: 24:[76, 13] Operation: 22-9=13
Exploring Operation: 76-9=67, Resulting Numbers: [22, 67]
Generated Node #0,2,1: 24:[22, 67] Operation: 76-9=67
Exploring Operation: 22+9=31, Resulting Numbers: [76, 31]
Generated Node #0,2,2: 24:[76, 31] Operation: 22+9=31
Exploring Operation: 76-22=54, Resulting Numbers: [9, 54]
Generated Node #0,2,3: 24:[9, 54] Operation: 76-22=54
Exploring Operation: 76+9=85, Resulting Numbers: [22, 85]
Generated Node #0,2,4: 24:[22, 85] Operation: 76+9=85
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[9, 54], Operations: ['70-61=9', '76-22=54']
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,24 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 9*54=486, Resulting Numbers: [486]
486,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[22, 67], Operations: ['70-61=9', '76-9=67']
Exploring Operation: 22*67=1474, Resulting Numbers: [1474]
1474,24 unequal: No Solution
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[76, 13], Operations: ['70-61=9', '22-9=13']
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,24 unequal: No Solution
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,24 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[76, 31], Operations: ['70-61=9', '22+9=31']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,24 unequal: No Solution
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[22, 85], Operations: ['70-61=9', '76+9=85']
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,24 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,24 unequal: No Solution
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,24 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: 24:[76, 70, 39], Operations: ['61-22=39']
Exploring Operation: 70-39=31, Resulting Numbers: [76, 31]
Generated Node #0,0,0: 24:[76, 31] Operation: 70-39=31
Exploring Operation: 76-70=6, Resulting Numbers: [39, 6]
Generated Node #0,0,1: 24:[39, 6] Operation: 76-70=6
Exploring Operation: 76-39=37, Resulting Numbers: [70, 37]
Generated Node #0,0,2: 24:[70, 37] Operation: 76-39=37
Exploring Operation: 76+39=115, Resulting Numbers: [70, 115]
Generated Node #0,0,3: 24:[70, 115] Operation: 76+39=115
Exploring Operation: 76+70=146, Resulting Numbers: [39, 146]
Generated Node #0,0,4: 24:[39, 146] Operation: 76+70=146
Moving to Node #0,3
Current State: 24:[61, 70, 54], Operations: ['76-22=54']
Exploring Operation: 61+54=115, Resulting Numbers: [70, 115]
Generated Node #0,3,0: 24:[70, 115] Operation: 61+54=115
Exploring Operation: 70-61=9, Resulting Numbers: [54, 9]
Generated Node #0,3,1: 24:[54, 9] Operation: 70-61=9
Exploring Operation: 61-54=7, Resulting Numbers: [70, 7]
Generated Node #0,3,2: 24:[70, 7] Operation: 61-54=7
Exploring Operation: 70-54=16, Resulting Numbers: [61, 16]
Generated Node #0,3,3: 24:[61, 16] Operation: 70-54=16
Exploring Operation: 61+70=131, Resulting Numbers: [54, 131]
Generated Node #0,3,4: 24:[54, 131] Operation: 61+70=131
Moving to Node #0,1,1
Current State: 24:[6, 39], Operations: ['76-70=6', '61-22=39']
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,24 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[39, 6], Operations: ['61-22=39', '76-70=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[54, 9], Operations: ['76-22=54', '70-61=9']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 54*9=486, Resulting Numbers: [486]
486,24 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,24 unequal: No Solution
Moving to Node #0,1,4
Current State: 24:[22, 55], Operations: ['76-70=6', '61-6=55']
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 22*55=1210, Resulting Numbers: [1210]
1210,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[61, 16], Operations: ['76-70=6', '22-6=16']
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,24 unequal: No Solution
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[61, 16], Operations: ['76-22=54', '70-54=16']
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,24 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[61, 28], Operations: ['76-70=6', '22+6=28']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,24 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[22, 67], Operations: ['76-70=6', '61+6=67']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,24 unequal: No Solution
Exploring Operation: 22*67=1474, Resulting Numbers: [1474]
1474,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[70, 7], Operations: ['76-22=54', '61-54=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,24 unequal: No Solution
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,24 unequal: No Solution
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[76, 31], Operations: ['61-22=39', '70-39=31']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,24 unequal: No Solution
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[70, 37], Operations: ['61-22=39', '76-39=37']
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,24 unequal: No Solution
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,24 unequal: No Solution
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Moving to Node #0,3,4
Current State: 24:[54, 131], Operations: ['76-22=54', '61+70=131']
Exploring Operation: 131-54=77, Resulting Numbers: [77]
77,24 unequal: No Solution
Exploring Operation: 54*131=7074, Resulting Numbers: [7074]
7074,24 unequal: No Solution
Exploring Operation: 54+131=185, Resulting Numbers: [185]
185,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[70, 115], Operations: ['76-22=54', '61+54=115']
Exploring Operation: 115-70=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 70+115=185, Resulting Numbers: [185]
185,24 unequal: No Solution
Exploring Operation: 70*115=8050, Resulting Numbers: [8050]
8050,24 unequal: No Solution
Moving to Node #0,0,4
Current State: 24:[39, 146], Operations: ['61-22=39', '76+70=146']
Exploring Operation: 39+146=185, Resulting Numbers: [185]
185,24 unequal: No Solution
Exploring Operation: 39*146=5694, Resulting Numbers: [5694]
5694,24 unequal: No Solution
Exploring Operation: 146-39=107, Resulting Numbers: [107]
107,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[70, 115], Operations: ['61-22=39', '76+39=115']
Exploring Operation: 70+115=185, Resulting Numbers: [185]
185,24 unequal: No Solution
Exploring Operation: 70*115=8050, Resulting Numbers: [8050]
8050,24 unequal: No Solution
Exploring Operation: 115-70=45, Resulting Numbers: [45]
45,24 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
67,
25,
98,
14
] | 49
|
[
"67-25=42",
"98/14=7",
"42+7=49"
] |
Current State: 49:[67, 25, 98, 14], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [98, 14, 42]
Generated Node #2: [98, 14, 42] from Operation: 67-25=42
Current State: 49:[98, 14, 42], Operations: ['67-25=42']
Exploring Operation: 98/14=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 98/14=7
Current State: 49:[42, 7], Operations: ['67-25=42', '98/14=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[67, 25, 98, 14], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [25, 14, 31]
Generated Node #0,0: 49:[25, 14, 31] Operation: 98-67=31
Exploring Operation: 98/14=7, Resulting Numbers: [67, 25, 7]
Generated Node #0,1: 49:[67, 25, 7] Operation: 98/14=7
Moving to Node #0,1
Current State: 49:[67, 25, 7], Operations: ['98/14=7']
Exploring Operation: 67-7=60, Resulting Numbers: [25, 60]
Generated Node #0,1,0: 49:[25, 60] Operation: 67-7=60
Exploring Operation: 67-25=42, Resulting Numbers: [7, 42]
Generated Node #0,1,1: 49:[7, 42] Operation: 67-25=42
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[7, 42], Operations: ['98/14=7', '67-25=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[67, 25, 98, 14], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [67, 25, 7]
Generated Node #0,1: 49:[67, 25, 7] Operation: 98/14=7
Moving to Node #0,1
Current State: 49:[67, 25, 7], Operations: ['98/14=7']
Exploring Operation: 67-25=42, Resulting Numbers: [7, 42]
Generated Node #0,1,1: 49:[7, 42] Operation: 67-25=42
Moving to Node #0,1,1
Current State: 49:[7, 42], Operations: ['98/14=7', '67-25=42']
Exploring Operation: 7+42=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
44,
9,
6,
4
] | 75
|
[
"44*6=264",
"264/4=66",
"9+66=75"
] |
Current State: 75:[44, 9, 6, 4], Operations: []
Exploring Operation: 44*6=264, Resulting Numbers: [9, 4, 264]
Generated Node #2: [9, 4, 264] from Operation: 44*6=264
Current State: 75:[9, 4, 264], Operations: ['44*6=264']
Exploring Operation: 264/4=66, Resulting Numbers: [9, 66]
Generated Node #3: [9, 66] from Operation: 264/4=66
Current State: 75:[9, 66], Operations: ['44*6=264', '264/4=66']
Exploring Operation: 9+66=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[44, 9, 6, 4], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [9, 6, 11]
Generated Node #0,0: 75:[9, 6, 11] Operation: 44/4=11
Exploring Operation: 44-6=38, Resulting Numbers: [9, 4, 38]
Generated Node #0,1: 75:[9, 4, 38] Operation: 44-6=38
Exploring Operation: 44-9=35, Resulting Numbers: [6, 4, 35]
Generated Node #0,2: 75:[6, 4, 35] Operation: 44-9=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[9, 6, 11], Operations: ['44/4=11']
Exploring Operation: 9+6=15, Resulting Numbers: [11, 15]
Generated Node #0,0,0: 75:[11, 15] Operation: 9+6=15
Exploring Operation: 9-6=3, Resulting Numbers: [11, 3]
Generated Node #0,0,1: 75:[11, 3] Operation: 9-6=3
Exploring Operation: 11-9=2, Resulting Numbers: [6, 2]
Generated Node #0,0,2: 75:[6, 2] Operation: 11-9=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[6, 2], Operations: ['44/4=11', '11-9=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[11, 15], Operations: ['44/4=11', '9+6=15']
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,75 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[11, 3], Operations: ['44/4=11', '9-6=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[6, 4, 35], Operations: ['44-9=35']
Exploring Operation: 35-6=29, Resulting Numbers: [4, 29]
Generated Node #0,2,0: 75:[4, 29] Operation: 35-6=29
Exploring Operation: 35-4=31, Resulting Numbers: [6, 31]
Generated Node #0,2,1: 75:[6, 31] Operation: 35-4=31
Exploring Operation: 6*4=24, Resulting Numbers: [35, 24]
Generated Node #0,2,2: 75:[35, 24] Operation: 6*4=24
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[4, 29], Operations: ['44-9=35', '35-6=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,75 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[6, 31], Operations: ['44-9=35', '35-4=31']
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,75 unequal: No Solution
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[35, 24], Operations: ['44-9=35', '6*4=24']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,75 unequal: No Solution
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,75 unequal: No Solution
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[9, 4, 38], Operations: ['44-6=38']
Exploring Operation: 38-4=34, Resulting Numbers: [9, 34]
Generated Node #0,1,0: 75:[9, 34] Operation: 38-4=34
Exploring Operation: 9-4=5, Resulting Numbers: [38, 5]
Generated Node #0,1,1: 75:[38, 5] Operation: 9-4=5
Exploring Operation: 38-9=29, Resulting Numbers: [4, 29]
Generated Node #0,1,2: 75:[4, 29] Operation: 38-9=29
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[4, 29], Operations: ['44-6=38', '38-9=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,75 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[9, 34], Operations: ['44-6=38', '38-4=34']
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 9*34=306, Resulting Numbers: [306]
306,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[38, 5], Operations: ['44-6=38', '9-4=5']
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,75 unequal: No Solution
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
32,
40,
68,
6
] | 50
|
[
"40+68=108",
"108/6=18",
"32+18=50"
] |
Current State: 50:[32, 40, 68, 6], Operations: []
Exploring Operation: 40+68=108, Resulting Numbers: [32, 6, 108]
Generated Node #2: [32, 6, 108] from Operation: 40+68=108
Current State: 50:[32, 6, 108], Operations: ['40+68=108']
Exploring Operation: 108/6=18, Resulting Numbers: [32, 18]
Generated Node #3: [32, 18] from Operation: 108/6=18
Current State: 50:[32, 18], Operations: ['40+68=108', '108/6=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[32, 40, 68, 6], Operations: []
Exploring Operation: 68-40=28, Resulting Numbers: [32, 6, 28]
Generated Node #0,0: 50:[32, 6, 28] Operation: 68-40=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[32, 6, 28], Operations: ['68-40=28']
Exploring Operation: 32-28=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 50:[6, 4] Operation: 32-28=4
Moving to Node #0,0,0
Current State: 50:[6, 4], Operations: ['68-40=28', '32-28=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
25,
2,
38,
72
] | 66
|
[
"72-25=47",
"38/2=19",
"47+19=66"
] |
Current State: 66:[25, 2, 38, 72], Operations: []
Exploring Operation: 72-25=47, Resulting Numbers: [2, 38, 47]
Generated Node #2: [2, 38, 47] from Operation: 72-25=47
Current State: 66:[2, 38, 47], Operations: ['72-25=47']
Exploring Operation: 38/2=19, Resulting Numbers: [47, 19]
Generated Node #3: [47, 19] from Operation: 38/2=19
Current State: 66:[47, 19], Operations: ['72-25=47', '38/2=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[25, 2, 38, 72], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [2, 72, 13]
Generated Node #0,0: 66:[2, 72, 13] Operation: 38-25=13
Exploring Operation: 72-38=34, Resulting Numbers: [25, 2, 34]
Generated Node #0,1: 66:[25, 2, 34] Operation: 72-38=34
Exploring Operation: 25+38=63, Resulting Numbers: [2, 72, 63]
Generated Node #0,2: 66:[2, 72, 63] Operation: 25+38=63
Moving to Node #0,1
Current State: 66:[25, 2, 34], Operations: ['72-38=34']
Exploring Operation: 34-25=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 66:[2, 9] Operation: 34-25=9
Exploring Operation: 34-2=32, Resulting Numbers: [25, 32]
Generated Node #0,1,1: 66:[25, 32] Operation: 34-2=32
Exploring Operation: 25-2=23, Resulting Numbers: [34, 23]
Generated Node #0,1,2: 66:[34, 23] Operation: 25-2=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[2, 9], Operations: ['72-38=34', '34-25=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[34, 23], Operations: ['72-38=34', '25-2=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,66 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[25, 32], Operations: ['72-38=34', '34-2=32']
Exploring Operation: 32-25=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 25*32=800, Resulting Numbers: [800]
800,66 unequal: No Solution
Exploring Operation: 25+32=57, Resulting Numbers: [57]
57,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 66:[2, 72, 13], Operations: ['38-25=13']
Exploring Operation: 72/2=36, Resulting Numbers: [13, 36]
Generated Node #0,0,0: 66:[13, 36] Operation: 72/2=36
Exploring Operation: 13-2=11, Resulting Numbers: [72, 11]
Generated Node #0,0,1: 66:[72, 11] Operation: 13-2=11
Exploring Operation: 72-2=70, Resulting Numbers: [13, 70]
Generated Node #0,0,2: 66:[13, 70] Operation: 72-2=70
Moving to Node #0,2
Current State: 66:[2, 72, 63], Operations: ['25+38=63']
Exploring Operation: 72-63=9, Resulting Numbers: [2, 9]
Generated Node #0,2,0: 66:[2, 9] Operation: 72-63=9
Exploring Operation: 72-2=70, Resulting Numbers: [63, 70]
Generated Node #0,2,1: 66:[63, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [63, 36]
Generated Node #0,2,2: 66:[63, 36] Operation: 72/2=36
Moving to Node #0,2,0
Current State: 66:[2, 9], Operations: ['25+38=63', '72-63=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[13, 36], Operations: ['38-25=13', '72/2=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,66 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[13, 70], Operations: ['38-25=13', '72-2=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,66 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[63, 36], Operations: ['25+38=63', '72/2=36']
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 63+36=99, Resulting Numbers: [99]
99,66 unequal: No Solution
Exploring Operation: 63*36=2268, Resulting Numbers: [2268]
2268,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[72, 11], Operations: ['38-25=13', '13-2=11']
Exploring Operation: 72+11=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 72*11=792, Resulting Numbers: [792]
792,66 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[63, 70], Operations: ['25+38=63', '72-2=70']
Exploring Operation: 63+70=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 63*70=4410, Resulting Numbers: [4410]
4410,66 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
52,
11,
46,
18
] | 100
|
[
"52+46=98",
"11*18=198",
"198-98=100"
] |
Current State: 100:[52, 11, 46, 18], Operations: []
Exploring Operation: 52+46=98, Resulting Numbers: [11, 18, 98]
Generated Node #2: [11, 18, 98] from Operation: 52+46=98
Current State: 100:[11, 18, 98], Operations: ['52+46=98']
Exploring Operation: 11*18=198, Resulting Numbers: [98, 198]
Generated Node #3: [98, 198] from Operation: 11*18=198
Current State: 100:[98, 198], Operations: ['52+46=98', '11*18=198']
Exploring Operation: 198-98=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[52, 11, 46, 18], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [11, 18, 6]
Generated Node #0,0: 100:[11, 18, 6] Operation: 52-46=6
Moving to Node #0,0
Current State: 100:[11, 18, 6], Operations: ['52-46=6']
Exploring Operation: 11-6=5, Resulting Numbers: [18, 5]
Generated Node #0,0,0: 100:[18, 5] Operation: 11-6=5
Moving to Node #0,0,0
Current State: 100:[18, 5], Operations: ['52-46=6', '11-6=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,100 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
4,
82,
90,
83
] | 93
|
[
"4+82=86",
"90-83=7",
"86+7=93"
] |
Current State: 93:[4, 82, 90, 83], Operations: []
Exploring Operation: 4+82=86, Resulting Numbers: [90, 83, 86]
Generated Node #2: [90, 83, 86] from Operation: 4+82=86
Current State: 93:[90, 83, 86], Operations: ['4+82=86']
Exploring Operation: 90-83=7, Resulting Numbers: [86, 7]
Generated Node #3: [86, 7] from Operation: 90-83=7
Current State: 93:[86, 7], Operations: ['4+82=86', '90-83=7']
Exploring Operation: 86+7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4
|
Current State: 93:[4, 82, 90, 83], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [4, 90, 1]
Generated Node #0,0: 93:[4, 90, 1] Operation: 83-82=1
Moving to Node #0,0
Current State: 93:[4, 90, 1], Operations: ['83-82=1']
Exploring Operation: 4+90=94, Resulting Numbers: [1, 94]
Generated Node #0,0,0: 93:[1, 94] Operation: 4+90=94
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[1, 94], Operations: ['83-82=1', '4+90=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[4, 82, 90, 83], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [4, 90, 1]
Generated Node #0,0: 93:[4, 90, 1] Operation: 83-82=1
Moving to Node #0,0
Current State: 93:[4, 90, 1], Operations: ['83-82=1']
Exploring Operation: 4+90=94, Resulting Numbers: [1, 94]
Generated Node #0,0,0: 93:[1, 94] Operation: 4+90=94
Moving to Node #0,0,0
Current State: 93:[1, 94], Operations: ['83-82=1', '4+90=94']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
5,
85,
40,
13
] | 64
|
[
"40/5=8",
"85-13=72",
"72-8=64"
] |
Current State: 64:[5, 85, 40, 13], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [85, 13, 8]
Generated Node #2: [85, 13, 8] from Operation: 40/5=8
Current State: 64:[85, 13, 8], Operations: ['40/5=8']
Exploring Operation: 85-13=72, Resulting Numbers: [8, 72]
Generated Node #3: [8, 72] from Operation: 85-13=72
Current State: 64:[8, 72], Operations: ['40/5=8', '85-13=72']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[5, 85, 40, 13], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [5, 13, 45]
Generated Node #0,0: 64:[5, 13, 45] Operation: 85-40=45
Exploring Operation: 40/5=8, Resulting Numbers: [85, 13, 8]
Generated Node #0,1: 64:[85, 13, 8] Operation: 40/5=8
Exploring Operation: 85-13=72, Resulting Numbers: [5, 40, 72]
Generated Node #0,2: 64:[5, 40, 72] Operation: 85-13=72
Exploring Operation: 85/5=17, Resulting Numbers: [40, 13, 17]
Generated Node #0,3: 64:[40, 13, 17] Operation: 85/5=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[40, 13, 17], Operations: ['85/5=17']
Exploring Operation: 40-13=27, Resulting Numbers: [17, 27]
Generated Node #0,3,0: 64:[17, 27] Operation: 40-13=27
Exploring Operation: 17-13=4, Resulting Numbers: [40, 4]
Generated Node #0,3,1: 64:[40, 4] Operation: 17-13=4
Exploring Operation: 40-17=23, Resulting Numbers: [13, 23]
Generated Node #0,3,2: 64:[13, 23] Operation: 40-17=23
Exploring Operation: 40+17=57, Resulting Numbers: [13, 57]
Generated Node #0,3,3: 64:[13, 57] Operation: 40+17=57
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 64:[17, 27], Operations: ['85/5=17', '40-13=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,64 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No 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: 64:[40, 4], Operations: ['85/5=17', '17-13=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,64 unequal: No Solution
No 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: 64:[13, 23], Operations: ['85/5=17', '40-17=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,64 unequal: No Solution
No 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: 64:[13, 57], Operations: ['85/5=17', '40+17=57']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 13+57=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 13*57=741, Resulting Numbers: [741]
741,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[5, 13, 45], Operations: ['85-40=45']
Exploring Operation: 45-13=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 64:[5, 32] Operation: 45-13=32
Exploring Operation: 13+45=58, Resulting Numbers: [5, 58]
Generated Node #0,0,1: 64:[5, 58] Operation: 13+45=58
Exploring Operation: 45/5=9, Resulting Numbers: [13, 9]
Generated Node #0,0,2: 64:[13, 9] Operation: 45/5=9
Exploring Operation: 45-5=40, Resulting Numbers: [13, 40]
Generated Node #0,0,3: 64:[13, 40] Operation: 45-5=40
Moving to Node #0,0,0
Current State: 64:[5, 32], Operations: ['85-40=45', '45-13=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,64 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[13, 9], Operations: ['85-40=45', '45/5=9']
Exploring Operation: 13*9=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 13+9=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[5, 58], Operations: ['85-40=45', '13+45=58']
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,64 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[13, 40], Operations: ['85-40=45', '45-5=40']
Exploring Operation: 13+40=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 40-13=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Exploring Operation: 13*40=520, Resulting Numbers: [520]
520,64 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
Current State: 64:[5, 40, 72], Operations: ['85-13=72']
Exploring Operation: 40-5=35, Resulting Numbers: [72, 35]
Generated Node #0,2,0: 64:[72, 35] Operation: 40-5=35
Exploring Operation: 40/5=8, Resulting Numbers: [72, 8]
Generated Node #0,2,1: 64:[72, 8] Operation: 40/5=8
Exploring Operation: 72-40=32, Resulting Numbers: [5, 32]
Generated Node #0,2,2: 64:[5, 32] Operation: 72-40=32
Exploring Operation: 72-5=67, Resulting Numbers: [40, 67]
Generated Node #0,2,3: 64:[40, 67] Operation: 72-5=67
Moving to Node #0,2,2
Current State: 64:[5, 32], Operations: ['85-13=72', '72-40=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,64 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[72, 8], Operations: ['85-13=72', '40/5=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[5, 85, 40, 13], Operations: []
Exploring Operation: 85-13=72, Resulting Numbers: [5, 40, 72]
Generated Node #0,2: 64:[5, 40, 72] Operation: 85-13=72
Moving to Node #0,2
Current State: 64:[5, 40, 72], Operations: ['85-13=72']
Exploring Operation: 40/5=8, Resulting Numbers: [72, 8]
Generated Node #0,2,1: 64:[72, 8] Operation: 40/5=8
Moving to Node #0,2,1
Current State: 64:[72, 8], Operations: ['85-13=72', '40/5=8']
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465
|
hs_4
|
mult_heuristic
|
[
34,
78,
13,
24
] | 75
|
[
"34+78=112",
"13+24=37",
"112-37=75"
] |
Current State: 75:[34, 78, 13, 24], Operations: []
Exploring Operation: 34+78=112, Resulting Numbers: [13, 24, 112]
Generated Node #2: [13, 24, 112] from Operation: 34+78=112
Current State: 75:[13, 24, 112], Operations: ['34+78=112']
Exploring Operation: 13+24=37, Resulting Numbers: [112, 37]
Generated Node #3: [112, 37] from Operation: 13+24=37
Current State: 75:[112, 37], Operations: ['34+78=112', '13+24=37']
Exploring Operation: 112-37=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[34, 78, 13, 24], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [78, 13, 10]
Generated Node #0,0: 75:[78, 13, 10] Operation: 34-24=10
Exploring Operation: 78/13=6, Resulting Numbers: [34, 24, 6]
Generated Node #0,1: 75:[34, 24, 6] Operation: 78/13=6
Exploring Operation: 34-13=21, Resulting Numbers: [78, 24, 21]
Generated Node #0,2: 75:[78, 24, 21] Operation: 34-13=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[78, 24, 21], Operations: ['34-13=21']
Exploring Operation: 78-21=57, Resulting Numbers: [24, 57]
Generated Node #0,2,0: 75:[24, 57] Operation: 78-21=57
Exploring Operation: 24-21=3, Resulting Numbers: [78, 3]
Generated Node #0,2,1: 75:[78, 3] Operation: 24-21=3
Exploring Operation: 24+21=45, Resulting Numbers: [78, 45]
Generated Node #0,2,2: 75:[78, 45] Operation: 24+21=45
Moving to Node #0,2,1
Current State: 75:[78, 3], Operations: ['34-13=21', '24-21=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[34, 78, 13, 24], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [78, 24, 21]
Generated Node #0,2: 75:[78, 24, 21] Operation: 34-13=21
Moving to Node #0,2
Current State: 75:[78, 24, 21], Operations: ['34-13=21']
Exploring Operation: 24-21=3, Resulting Numbers: [78, 3]
Generated Node #0,2,1: 75:[78, 3] Operation: 24-21=3
Moving to Node #0,2,1
Current State: 75:[78, 3], Operations: ['34-13=21', '24-21=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
mult_heuristic
|
[
46,
8,
84,
15
] | 10
|
[
"46+84=130",
"8*15=120",
"130-120=10"
] |
Current State: 10:[46, 8, 84, 15], Operations: []
Exploring Operation: 46+84=130, Resulting Numbers: [8, 15, 130]
Generated Node #2: [8, 15, 130] from Operation: 46+84=130
Current State: 10:[8, 15, 130], Operations: ['46+84=130']
Exploring Operation: 8*15=120, Resulting Numbers: [130, 120]
Generated Node #3: [130, 120] from Operation: 8*15=120
Current State: 10:[130, 120], Operations: ['46+84=130', '8*15=120']
Exploring Operation: 130-120=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[46, 8, 84, 15], Operations: []
Exploring Operation: 84-46=38, Resulting Numbers: [8, 15, 38]
Generated Node #0,0: 10:[8, 15, 38] Operation: 84-46=38
Moving to Node #0,0
Current State: 10:[8, 15, 38], Operations: ['84-46=38']
Exploring Operation: 38-15=23, Resulting Numbers: [8, 23]
Generated Node #0,0,0: 10:[8, 23] Operation: 38-15=23
Moving to Node #0,0,0
Current State: 10:[8, 23], Operations: ['84-46=38', '38-15=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,10 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
12,
60,
96,
51
] | 75
|
[
"12+60=72",
"96+51=147",
"147-72=75"
] |
Current State: 75:[12, 60, 96, 51], Operations: []
Exploring Operation: 12+60=72, Resulting Numbers: [96, 51, 72]
Generated Node #2: [96, 51, 72] from Operation: 12+60=72
Current State: 75:[96, 51, 72], Operations: ['12+60=72']
Exploring Operation: 96+51=147, Resulting Numbers: [72, 147]
Generated Node #3: [72, 147] from Operation: 96+51=147
Current State: 75:[72, 147], Operations: ['12+60=72', '96+51=147']
Exploring Operation: 147-72=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[12, 60, 96, 51], Operations: []
Exploring Operation: 96-51=45, Resulting Numbers: [12, 60, 45]
Generated Node #0,0: 75:[12, 60, 45] Operation: 96-51=45
Exploring Operation: 60-51=9, Resulting Numbers: [12, 96, 9]
Generated Node #0,1: 75:[12, 96, 9] Operation: 60-51=9
Exploring Operation: 96-60=36, Resulting Numbers: [12, 51, 36]
Generated Node #0,2: 75:[12, 51, 36] Operation: 96-60=36
Moving to Node #0,1
Current State: 75:[12, 96, 9], Operations: ['60-51=9']
Exploring Operation: 96-9=87, Resulting Numbers: [12, 87]
Generated Node #0,1,0: 75:[12, 87] Operation: 96-9=87
Exploring Operation: 96/12=8, Resulting Numbers: [9, 8]
Generated Node #0,1,1: 75:[9, 8] Operation: 96/12=8
Exploring Operation: 96-12=84, Resulting Numbers: [9, 84]
Generated Node #0,1,2: 75:[9, 84] Operation: 96-12=84
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 75:[9, 8], Operations: ['60-51=9', '96/12=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,75 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,75 unequal: No Solution
No 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: 75:[9, 84], Operations: ['60-51=9', '96-12=84']
Exploring Operation: 9+84=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 9*84=756, Resulting Numbers: [756]
756,75 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[12, 60, 96, 51], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [12, 96, 9]
Generated Node #0,1: 75:[12, 96, 9] Operation: 60-51=9
Moving to Node #0,1
Current State: 75:[12, 96, 9], Operations: ['60-51=9']
Exploring Operation: 96-12=84, Resulting Numbers: [9, 84]
Generated Node #0,1,2: 75:[9, 84] Operation: 96-12=84
Moving to Node #0,1,2
Current State: 75:[9, 84], Operations: ['60-51=9', '96-12=84']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_3
|
sum_heuristic
|
[
9,
84,
26,
90
] | 48
|
[
"90/9=10",
"84-26=58",
"58-10=48"
] |
Current State: 48:[9, 84, 26, 90], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [84, 26, 10]
Generated Node #2: [84, 26, 10] from Operation: 90/9=10
Current State: 48:[84, 26, 10], Operations: ['90/9=10']
Exploring Operation: 84-26=58, Resulting Numbers: [10, 58]
Generated Node #3: [10, 58] from Operation: 84-26=58
Current State: 48:[10, 58], Operations: ['90/9=10', '84-26=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[9, 84, 26, 90], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [9, 90, 58]
Generated Node #0,0: 48:[9, 90, 58] Operation: 84-26=58
Exploring Operation: 90/9=10, Resulting Numbers: [84, 26, 10]
Generated Node #0,1: 48:[84, 26, 10] Operation: 90/9=10
Exploring Operation: 90-84=6, Resulting Numbers: [9, 26, 6]
Generated Node #0,2: 48:[9, 26, 6] Operation: 90-84=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[9, 26, 6], Operations: ['90-84=6']
Exploring Operation: 9-6=3, Resulting Numbers: [26, 3]
Generated Node #0,2,0: 48:[26, 3] Operation: 9-6=3
Exploring Operation: 26-9=17, Resulting Numbers: [6, 17]
Generated Node #0,2,1: 48:[6, 17] Operation: 26-9=17
Exploring Operation: 9+6=15, Resulting Numbers: [26, 15]
Generated Node #0,2,2: 48:[26, 15] Operation: 9+6=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[6, 17], Operations: ['90-84=6', '26-9=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,48 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,48 unequal: No Solution
No 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: 48:[26, 3], Operations: ['90-84=6', '9-6=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,48 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,48 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,48 unequal: No Solution
No 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: 48:[26, 15], Operations: ['90-84=6', '9+6=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,48 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: 48:[84, 26, 10], Operations: ['90/9=10']
Exploring Operation: 84-26=58, Resulting Numbers: [10, 58]
Generated Node #0,1,0: 48:[10, 58] Operation: 84-26=58
Exploring Operation: 26-10=16, Resulting Numbers: [84, 16]
Generated Node #0,1,1: 48:[84, 16] Operation: 26-10=16
Exploring Operation: 84-10=74, Resulting Numbers: [26, 74]
Generated Node #0,1,2: 48:[26, 74] Operation: 84-10=74
Moving to Node #0,1,0
Current State: 48:[10, 58], Operations: ['90/9=10', '84-26=58']
Exploring Operation: 10+58=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[9, 84, 26, 90], Operations: []
Exploring Operation: 90/9=10, Resulting Numbers: [84, 26, 10]
Generated Node #0,1: 48:[84, 26, 10] Operation: 90/9=10
Moving to Node #0,1
Current State: 48:[84, 26, 10], Operations: ['90/9=10']
Exploring Operation: 84-26=58, Resulting Numbers: [10, 58]
Generated Node #0,1,0: 48:[10, 58] Operation: 84-26=58
Moving to Node #0,1,0
Current State: 48:[10, 58], Operations: ['90/9=10', '84-26=58']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167
|
hs_3
|
sum_heuristic
|
[
71,
64,
6,
47
] | 82
|
[
"71+64=135",
"6+47=53",
"135-53=82"
] |
Current State: 82:[71, 64, 6, 47], Operations: []
Exploring Operation: 71+64=135, Resulting Numbers: [6, 47, 135]
Generated Node #2: [6, 47, 135] from Operation: 71+64=135
Current State: 82:[6, 47, 135], Operations: ['71+64=135']
Exploring Operation: 6+47=53, Resulting Numbers: [135, 53]
Generated Node #3: [135, 53] from Operation: 6+47=53
Current State: 82:[135, 53], Operations: ['71+64=135', '6+47=53']
Exploring Operation: 135-53=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[71, 64, 6, 47], Operations: []
Exploring Operation: 71-64=7, Resulting Numbers: [6, 47, 7]
Generated Node #0,0: 82:[6, 47, 7] Operation: 71-64=7
Moving to Node #0,0
Current State: 82:[6, 47, 7], Operations: ['71-64=7']
Exploring Operation: 47-6=41, Resulting Numbers: [7, 41]
Generated Node #0,0,0: 82:[7, 41] Operation: 47-6=41
Moving to Node #0,0,0
Current State: 82:[7, 41], Operations: ['71-64=7', '47-6=41']
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,82 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
48,
36,
4,
17
] | 88
|
[
"48-17=31",
"4*31=124",
"124-36=88"
] |
Current State: 88:[48, 36, 4, 17], Operations: []
Exploring Operation: 48-17=31, Resulting Numbers: [36, 4, 31]
Generated Node #2: [36, 4, 31] from Operation: 48-17=31
Current State: 88:[36, 4, 31], Operations: ['48-17=31']
Exploring Operation: 4*31=124, Resulting Numbers: [36, 124]
Generated Node #3: [36, 124] from Operation: 4*31=124
Current State: 88:[36, 124], Operations: ['48-17=31', '4*31=124']
Exploring Operation: 124-36=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4
|
Current State: 88:[48, 36, 4, 17], Operations: []
Exploring Operation: 36-17=19, Resulting Numbers: [48, 4, 19]
Generated Node #0,0: 88:[48, 4, 19] Operation: 36-17=19
Exploring Operation: 48+36=84, Resulting Numbers: [4, 17, 84]
Generated Node #0,1: 88:[4, 17, 84] Operation: 48+36=84
Exploring Operation: 48-4=44, Resulting Numbers: [36, 17, 44]
Generated Node #0,2: 88:[36, 17, 44] Operation: 48-4=44
Exploring Operation: 36/4=9, Resulting Numbers: [48, 17, 9]
Generated Node #0,3: 88:[48, 17, 9] Operation: 36/4=9
Exploring Operation: 48-36=12, Resulting Numbers: [4, 17, 12]
Generated Node #0,4: 88:[4, 17, 12] Operation: 48-36=12
Moving to Node #0,4
Current State: 88:[4, 17, 12], Operations: ['48-36=12']
Exploring Operation: 17-12=5, Resulting Numbers: [4, 5]
Generated Node #0,4,0: 88:[4, 5] Operation: 17-12=5
Exploring Operation: 12/4=3, Resulting Numbers: [17, 3]
Generated Node #0,4,1: 88:[17, 3] Operation: 12/4=3
Exploring Operation: 4+17=21, Resulting Numbers: [12, 21]
Generated Node #0,4,2: 88:[12, 21] Operation: 4+17=21
Exploring Operation: 17-4=13, Resulting Numbers: [12, 13]
Generated Node #0,4,3: 88:[12, 13] Operation: 17-4=13
Exploring Operation: 12-4=8, Resulting Numbers: [17, 8]
Generated Node #0,4,4: 88:[17, 8] Operation: 12-4=8
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 88:[4, 5], Operations: ['48-36=12', '17-12=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 88:[12, 21], Operations: ['48-36=12', '4+17=21']
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,88 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 88:[12, 13], Operations: ['48-36=12', '17-4=13']
Exploring Operation: 12*13=156, Resulting Numbers: [156]
156,88 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,88 unequal: No Solution
Exploring Operation: 12+13=25, Resulting Numbers: [25]
25,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 88:[17, 8], Operations: ['48-36=12', '12-4=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 88:[17, 3], Operations: ['48-36=12', '12/4=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,88 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: 88:[48, 4, 19], Operations: ['36-17=19']
Exploring Operation: 48-19=29, Resulting Numbers: [4, 29]
Generated Node #0,0,0: 88:[4, 29] Operation: 48-19=29
Exploring Operation: 48-4=44, Resulting Numbers: [19, 44]
Generated Node #0,0,1: 88:[19, 44] Operation: 48-4=44
Exploring Operation: 48/4=12, Resulting Numbers: [19, 12]
Generated Node #0,0,2: 88:[19, 12] Operation: 48/4=12
Exploring Operation: 19-4=15, Resulting Numbers: [48, 15]
Generated Node #0,0,3: 88:[48, 15] Operation: 19-4=15
Exploring Operation: 4+19=23, Resulting Numbers: [48, 23]
Generated Node #0,0,4: 88:[48, 23] Operation: 4+19=23
Moving to Node #0,1
Current State: 88:[4, 17, 84], Operations: ['48+36=84']
Exploring Operation: 84-4=80, Resulting Numbers: [17, 80]
Generated Node #0,1,0: 88:[17, 80] Operation: 84-4=80
Exploring Operation: 4+17=21, Resulting Numbers: [84, 21]
Generated Node #0,1,1: 88:[84, 21] Operation: 4+17=21
Exploring Operation: 17-4=13, Resulting Numbers: [84, 13]
Generated Node #0,1,2: 88:[84, 13] Operation: 17-4=13
Exploring Operation: 4+84=88, Resulting Numbers: [17, 88]
Generated Node #0,1,3: 88:[17, 88] Operation: 4+84=88
Exploring Operation: 84/4=21, Resulting Numbers: [17, 21]
Generated Node #0,1,4: 88:[17, 21] Operation: 84/4=21
Moving to Node #0,3
Current State: 88:[48, 17, 9], Operations: ['36/4=9']
Exploring Operation: 48-9=39, Resulting Numbers: [17, 39]
Generated Node #0,3,0: 88:[17, 39] Operation: 48-9=39
Exploring Operation: 17-9=8, Resulting Numbers: [48, 8]
Generated Node #0,3,1: 88:[48, 8] Operation: 17-9=8
Exploring Operation: 48-17=31, Resulting Numbers: [9, 31]
Generated Node #0,3,2: 88:[9, 31] Operation: 48-17=31
Exploring Operation: 48+9=57, Resulting Numbers: [17, 57]
Generated Node #0,3,3: 88:[17, 57] Operation: 48+9=57
Exploring Operation: 17+9=26, Resulting Numbers: [48, 26]
Generated Node #0,3,4: 88:[48, 26] Operation: 17+9=26
Moving to Node #0,2
Current State: 88:[36, 17, 44], Operations: ['48-4=44']
Exploring Operation: 44-17=27, Resulting Numbers: [36, 27]
Generated Node #0,2,0: 88:[36, 27] Operation: 44-17=27
Exploring Operation: 36+44=80, Resulting Numbers: [17, 80]
Generated Node #0,2,1: 88:[17, 80] Operation: 36+44=80
Exploring Operation: 36+17=53, Resulting Numbers: [44, 53]
Generated Node #0,2,2: 88:[44, 53] Operation: 36+17=53
Exploring Operation: 36-17=19, Resulting Numbers: [44, 19]
Generated Node #0,2,3: 88:[44, 19] Operation: 36-17=19
Exploring Operation: 44-36=8, Resulting Numbers: [17, 8]
Generated Node #0,2,4: 88:[17, 8] Operation: 44-36=8
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[44, 19], Operations: ['48-4=44', '36-17=19']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,88 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 88:[17, 8], Operations: ['48-4=44', '44-36=8']
Exploring Operation: 17*8=136, Resulting Numbers: [136]
136,88 unequal: No Solution
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[44, 53], Operations: ['48-4=44', '36+17=53']
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 44+53=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 44*53=2332, Resulting Numbers: [2332]
2332,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[36, 27], Operations: ['48-4=44', '44-17=27']
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,88 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,88 unequal: No Solution
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[17, 80], Operations: ['48-4=44', '36+44=80']
Exploring Operation: 17*80=1360, Resulting Numbers: [1360]
1360,88 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,88 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: 88:[19, 44], Operations: ['36-17=19', '48-4=44']
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,88 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[19, 12], Operations: ['36-17=19', '48/4=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 19*12=228, Resulting Numbers: [228]
228,88 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[48, 8], Operations: ['36/4=9', '17-9=8']
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,88 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Moving to Node #0,0,4
Current State: 88:[48, 23], Operations: ['36-17=19', '4+19=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,88 unequal: No Solution
Moving to Node #0,1,3
Current State: 88:[17, 88], Operations: ['48+36=84', '4+84=88']
Exploring Operation: 17+88=105, Resulting Numbers: [105]
105,88 unequal: No Solution
Exploring Operation: 88-17=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 17*88=1496, Resulting Numbers: [1496]
1496,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[84, 21], Operations: ['48+36=84', '4+17=21']
Exploring Operation: 84*21=1764, Resulting Numbers: [1764]
1764,88 unequal: No Solution
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 84+21=105, Resulting Numbers: [105]
105,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[84, 13], Operations: ['48+36=84', '17-4=13']
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,88 unequal: No Solution
Moving to Node #0,1,4
Current State: 88:[17, 21], Operations: ['48+36=84', '84/4=21']
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,88 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Moving to Node #0,0,0
Current State: 88:[4, 29], Operations: ['36-17=19', '48-19=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Moving to Node #0,3,4
Current State: 88:[48, 26], Operations: ['36/4=9', '17+9=26']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,88 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[48, 15], Operations: ['36-17=19', '19-4=15']
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Exploring Operation: 48*15=720, Resulting Numbers: [720]
720,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[17, 39], Operations: ['36/4=9', '48-9=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 17*39=663, Resulting Numbers: [663]
663,88 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[9, 31], Operations: ['36/4=9', '48-17=31']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[17, 80], Operations: ['48+36=84', '84-4=80']
Exploring Operation: 17*80=1360, Resulting Numbers: [1360]
1360,88 unequal: No Solution
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[17, 57], Operations: ['36/4=9', '48+9=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,88 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 17*57=969, Resulting Numbers: [969]
969,88 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
4,
51,
65,
77
] | 95
|
[
"51-4=47",
"65+77=142",
"142-47=95"
] |
Current State: 95:[4, 51, 65, 77], Operations: []
Exploring Operation: 51-4=47, Resulting Numbers: [65, 77, 47]
Generated Node #2: [65, 77, 47] from Operation: 51-4=47
Current State: 95:[65, 77, 47], Operations: ['51-4=47']
Exploring Operation: 65+77=142, Resulting Numbers: [47, 142]
Generated Node #3: [47, 142] from Operation: 65+77=142
Current State: 95:[47, 142], Operations: ['51-4=47', '65+77=142']
Exploring Operation: 142-47=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[4, 51, 65, 77], Operations: []
Exploring Operation: 77-65=12, Resulting Numbers: [4, 51, 12]
Generated Node #0,0: 95:[4, 51, 12] Operation: 77-65=12
Exploring Operation: 77-51=26, Resulting Numbers: [4, 65, 26]
Generated Node #0,1: 95:[4, 65, 26] Operation: 77-51=26
Exploring Operation: 65-51=14, Resulting Numbers: [4, 77, 14]
Generated Node #0,2: 95:[4, 77, 14] Operation: 65-51=14
Exploring Operation: 51+65=116, Resulting Numbers: [4, 77, 116]
Generated Node #0,3: 95:[4, 77, 116] Operation: 51+65=116
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[4, 77, 14], Operations: ['65-51=14']
Exploring Operation: 77+14=91, Resulting Numbers: [4, 91]
Generated Node #0,2,0: 95:[4, 91] Operation: 77+14=91
Exploring Operation: 14-4=10, Resulting Numbers: [77, 10]
Generated Node #0,2,1: 95:[77, 10] Operation: 14-4=10
Exploring Operation: 4+14=18, Resulting Numbers: [77, 18]
Generated Node #0,2,2: 95:[77, 18] Operation: 4+14=18
Exploring Operation: 4+77=81, Resulting Numbers: [14, 81]
Generated Node #0,2,3: 95:[14, 81] Operation: 4+77=81
Moving to Node #0,2,0
Current State: 95:[4, 91], Operations: ['65-51=14', '77+14=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[4, 51, 65, 77], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [4, 77, 14]
Generated Node #0,2: 95:[4, 77, 14] Operation: 65-51=14
Moving to Node #0,2
Current State: 95:[4, 77, 14], Operations: ['65-51=14']
Exploring Operation: 77+14=91, Resulting Numbers: [4, 91]
Generated Node #0,2,0: 95:[4, 91] Operation: 77+14=91
Moving to Node #0,2,0
Current State: 95:[4, 91], Operations: ['65-51=14', '77+14=91']
Exploring Operation: 4+91=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_4
|
sum_heuristic
|
[
3,
64,
32,
32
] | 13
|
[
"64/32=2",
"32/2=16",
"16-3=13"
] |
Current State: 13:[3, 64, 32, 32], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [3, 2]
Generated Node #2: [3, 2] from Operation: 64/32=2
Current State: 13:[3, 2], Operations: ['64/32=2']
Exploring Operation: 32/2=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 32/2=16
Current State: 13:[3, 16], Operations: ['64/32=2', '32/2=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[3, 64, 32, 32], Operations: []
Exploring Operation: 64-32=32, Resulting Numbers: [3, 32, 32]
Generated Node #0,0: 13:[3, 32, 32] Operation: 64-32=32
Exploring Operation: 64-32=32, Resulting Numbers: [3, 32, 32]
Generated Node #0,1: 13:[3, 32, 32] Operation: 64-32=32
Exploring Operation: 64/32=2, Resulting Numbers: [3, 32, 2]
Generated Node #0,2: 13:[3, 32, 2] Operation: 64/32=2
Exploring Operation: 64/32=2, Resulting Numbers: [3, 32, 2]
Generated Node #0,3: 13:[3, 32, 2] Operation: 64/32=2
Moving to Node #0,2
Current State: 13:[3, 32, 2], Operations: ['64/32=2']
Exploring Operation: 32/2=16, Resulting Numbers: [3, 16]
Generated Node #0,2,0: 13:[3, 16] Operation: 32/2=16
Exploring Operation: 32-3=29, Resulting Numbers: [2, 29]
Generated Node #0,2,1: 13:[2, 29] Operation: 32-3=29
Exploring Operation: 3+2=5, Resulting Numbers: [32, 5]
Generated Node #0,2,2: 13:[32, 5] Operation: 3+2=5
Exploring Operation: 3*2=6, Resulting Numbers: [32, 6]
Generated Node #0,2,3: 13:[32, 6] Operation: 3*2=6
Moving to Node #0,3
Current State: 13:[3, 32, 2], Operations: ['64/32=2']
Exploring Operation: 3*2=6, Resulting Numbers: [32, 6]
Generated Node #0,3,0: 13:[32, 6] Operation: 3*2=6
Exploring Operation: 32/2=16, Resulting Numbers: [3, 16]
Generated Node #0,3,1: 13:[3, 16] Operation: 32/2=16
Exploring Operation: 3+2=5, Resulting Numbers: [32, 5]
Generated Node #0,3,2: 13:[32, 5] Operation: 3+2=5
Exploring Operation: 32-3=29, Resulting Numbers: [2, 29]
Generated Node #0,3,3: 13:[2, 29] Operation: 32-3=29
Moving to Node #0,1
Current State: 13:[3, 32, 32], Operations: ['64-32=32']
Exploring Operation: 32/32=1, Resulting Numbers: [3, 1]
Generated Node #0,1,0: 13:[3, 1] Operation: 32/32=1
Exploring Operation: 32-3=29, Resulting Numbers: [32, 29]
Generated Node #0,1,1: 13:[32, 29] Operation: 32-3=29
Exploring Operation: 32-3=29, Resulting Numbers: [32, 29]
Generated Node #0,1,2: 13:[32, 29] Operation: 32-3=29
Exploring Operation: 32-32=0, Resulting Numbers: [3, 0]
Generated Node #0,1,3: 13:[3, 0] Operation: 32-32=0
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[3, 1], Operations: ['64-32=32', '32/32=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 13:[3, 0], Operations: ['64-32=32', '32-32=0']
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 13:[32, 29], Operations: ['64-32=32', '32-3=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,13 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,13 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[32, 29], Operations: ['64-32=32', '32-3=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,13 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,13 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,13 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: 13:[3, 32, 32], Operations: ['64-32=32']
Exploring Operation: 32-3=29, Resulting Numbers: [32, 29]
Generated Node #0,0,0: 13:[32, 29] Operation: 32-3=29
Exploring Operation: 32-3=29, Resulting Numbers: [32, 29]
Generated Node #0,0,1: 13:[32, 29] Operation: 32-3=29
Exploring Operation: 32-32=0, Resulting Numbers: [3, 0]
Generated Node #0,0,2: 13:[3, 0] Operation: 32-32=0
Exploring Operation: 32/32=1, Resulting Numbers: [3, 1]
Generated Node #0,0,3: 13:[3, 1] Operation: 32/32=1
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 13:[3, 1], Operations: ['64-32=32', '32/32=1']
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[3, 0], Operations: ['64-32=32', '32-32=0']
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,13 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[32, 29], Operations: ['64-32=32', '32-3=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,13 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[32, 29], Operations: ['64-32=32', '32-3=29']
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,13 unequal: No Solution
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,13 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,13 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: 13:[3, 16], Operations: ['64/32=2', '32/2=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[3, 64, 32, 32], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [3, 32, 2]
Generated Node #0,2: 13:[3, 32, 2] Operation: 64/32=2
Moving to Node #0,2
Current State: 13:[3, 32, 2], Operations: ['64/32=2']
Exploring Operation: 32/2=16, Resulting Numbers: [3, 16]
Generated Node #0,2,0: 13:[3, 16] Operation: 32/2=16
Moving to Node #0,2,0
Current State: 13:[3, 16], Operations: ['64/32=2', '32/2=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.955729
|
hs_4
|
sum_heuristic
|
[
45,
86,
98,
44
] | 12
|
[
"45-44=1",
"98-86=12",
"1*12=12"
] |
Current State: 12:[45, 86, 98, 44], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [86, 98, 1]
Generated Node #2: [86, 98, 1] from Operation: 45-44=1
Current State: 12:[86, 98, 1], Operations: ['45-44=1']
Exploring Operation: 98-86=12, Resulting Numbers: [1, 12]
Generated Node #3: [1, 12] from Operation: 98-86=12
Current State: 12:[1, 12], Operations: ['45-44=1', '98-86=12']
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[45, 86, 98, 44], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [45, 44, 12]
Generated Node #0,0: 12:[45, 44, 12] Operation: 98-86=12
Moving to Node #0,0
Current State: 12:[45, 44, 12], Operations: ['98-86=12']
Exploring Operation: 45-44=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 12:[12, 1] Operation: 45-44=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[12, 1], Operations: ['98-86=12', '45-44=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[45, 86, 98, 44], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [45, 44, 12]
Generated Node #0,0: 12:[45, 44, 12] Operation: 98-86=12
Moving to Node #0,0
Current State: 12:[45, 44, 12], Operations: ['98-86=12']
Exploring Operation: 45-44=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 12:[12, 1] Operation: 45-44=1
Moving to Node #0,0,0
Current State: 12:[12, 1], Operations: ['98-86=12', '45-44=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
22,
3,
13,
65
] | 81
|
[
"65/13=5",
"22+5=27",
"3*27=81"
] |
Current State: 81:[22, 3, 13, 65], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [22, 3, 5]
Generated Node #2: [22, 3, 5] from Operation: 65/13=5
Current State: 81:[22, 3, 5], Operations: ['65/13=5']
Exploring Operation: 22+5=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 22+5=27
Current State: 81:[3, 27], Operations: ['65/13=5', '22+5=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[22, 3, 13, 65], Operations: []
Exploring Operation: 22+65=87, Resulting Numbers: [3, 13, 87]
Generated Node #0,0: 81:[3, 13, 87] Operation: 22+65=87
Exploring Operation: 65/13=5, Resulting Numbers: [22, 3, 5]
Generated Node #0,1: 81:[22, 3, 5] Operation: 65/13=5
Exploring Operation: 13+65=78, Resulting Numbers: [22, 3, 78]
Generated Node #0,2: 81:[22, 3, 78] Operation: 13+65=78
Moving to Node #0,1
Current State: 81:[22, 3, 5], Operations: ['65/13=5']
Exploring Operation: 22+3=25, Resulting Numbers: [5, 25]
Generated Node #0,1,0: 81:[5, 25] Operation: 22+3=25
Exploring Operation: 3+5=8, Resulting Numbers: [22, 8]
Generated Node #0,1,1: 81:[22, 8] Operation: 3+5=8
Exploring Operation: 22+5=27, Resulting Numbers: [3, 27]
Generated Node #0,1,2: 81:[3, 27] Operation: 22+5=27
Moving to Node #0,2
Current State: 81:[22, 3, 78], Operations: ['13+65=78']
Exploring Operation: 3+78=81, Resulting Numbers: [22, 81]
Generated Node #0,2,0: 81:[22, 81] Operation: 3+78=81
Exploring Operation: 22+3=25, Resulting Numbers: [78, 25]
Generated Node #0,2,1: 81:[78, 25] Operation: 22+3=25
Exploring Operation: 78/3=26, Resulting Numbers: [22, 26]
Generated Node #0,2,2: 81:[22, 26] Operation: 78/3=26
Moving to Node #0,0
Current State: 81:[3, 13, 87], Operations: ['22+65=87']
Exploring Operation: 87-3=84, Resulting Numbers: [13, 84]
Generated Node #0,0,0: 81:[13, 84] Operation: 87-3=84
Exploring Operation: 13-3=10, Resulting Numbers: [87, 10]
Generated Node #0,0,1: 81:[87, 10] Operation: 13-3=10
Exploring Operation: 87/3=29, Resulting Numbers: [13, 29]
Generated Node #0,0,2: 81:[13, 29] Operation: 87/3=29
Moving to Node #0,1,2
Current State: 81:[3, 27], Operations: ['65/13=5', '22+5=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[22, 3, 13, 65], Operations: []
Exploring Operation: 65/13=5, Resulting Numbers: [22, 3, 5]
Generated Node #0,1: 81:[22, 3, 5] Operation: 65/13=5
Moving to Node #0,1
Current State: 81:[22, 3, 5], Operations: ['65/13=5']
Exploring Operation: 22+5=27, Resulting Numbers: [3, 27]
Generated Node #0,1,2: 81:[3, 27] Operation: 22+5=27
Moving to Node #0,1,2
Current State: 81:[3, 27], Operations: ['65/13=5', '22+5=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.985243
|
hs_3
|
sum_heuristic
|
[
24,
26,
69,
80
] | 61
|
[
"24+26=50",
"80-69=11",
"50+11=61"
] |
Current State: 61:[24, 26, 69, 80], Operations: []
Exploring Operation: 24+26=50, Resulting Numbers: [69, 80, 50]
Generated Node #2: [69, 80, 50] from Operation: 24+26=50
Current State: 61:[69, 80, 50], Operations: ['24+26=50']
Exploring Operation: 80-69=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 80-69=11
Current State: 61:[50, 11], Operations: ['24+26=50', '80-69=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[24, 26, 69, 80], Operations: []
Exploring Operation: 69-24=45, Resulting Numbers: [26, 80, 45]
Generated Node #0,0: 61:[26, 80, 45] Operation: 69-24=45
Exploring Operation: 80-24=56, Resulting Numbers: [26, 69, 56]
Generated Node #0,1: 61:[26, 69, 56] Operation: 80-24=56
Exploring Operation: 24+26=50, Resulting Numbers: [69, 80, 50]
Generated Node #0,2: 61:[69, 80, 50] Operation: 24+26=50
Exploring Operation: 80-26=54, Resulting Numbers: [24, 69, 54]
Generated Node #0,3: 61:[24, 69, 54] Operation: 80-26=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[69, 80, 50], Operations: ['24+26=50']
Exploring Operation: 80-50=30, Resulting Numbers: [69, 30]
Generated Node #0,2,0: 61:[69, 30] Operation: 80-50=30
Exploring Operation: 80-69=11, Resulting Numbers: [50, 11]
Generated Node #0,2,1: 61:[50, 11] Operation: 80-69=11
Exploring Operation: 69-50=19, Resulting Numbers: [80, 19]
Generated Node #0,2,2: 61:[80, 19] Operation: 69-50=19
Exploring Operation: 69+50=119, Resulting Numbers: [80, 119]
Generated Node #0,2,3: 61:[80, 119] Operation: 69+50=119
Moving to Node #0,2,0
Current State: 61:[69, 30], Operations: ['24+26=50', '80-50=30']
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,61 unequal: No Solution
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 69*30=2070, Resulting Numbers: [2070]
2070,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[80, 19], Operations: ['24+26=50', '69-50=19']
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,61 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[24, 26, 69, 80], Operations: []
Exploring Operation: 24+26=50, Resulting Numbers: [69, 80, 50]
Generated Node #0,2: 61:[69, 80, 50] Operation: 24+26=50
Moving to Node #0,2
Current State: 61:[69, 80, 50], Operations: ['24+26=50']
Exploring Operation: 69-50=19, Resulting Numbers: [80, 19]
Generated Node #0,2,2: 61:[80, 19] Operation: 69-50=19
Moving to Node #0,2,2
Current State: 61:[80, 19], Operations: ['24+26=50', '69-50=19']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
sum_heuristic
|
[
49,
44,
53,
50
] | 61
|
[
"53-49=4",
"44/4=11",
"50+11=61"
] |
Current State: 61:[49, 44, 53, 50], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [44, 50, 4]
Generated Node #2: [44, 50, 4] from Operation: 53-49=4
Current State: 61:[44, 50, 4], Operations: ['53-49=4']
Exploring Operation: 44/4=11, Resulting Numbers: [50, 11]
Generated Node #3: [50, 11] from Operation: 44/4=11
Current State: 61:[50, 11], Operations: ['53-49=4', '44/4=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4
|
Current State: 61:[49, 44, 53, 50], Operations: []
Exploring Operation: 49+44=93, Resulting Numbers: [53, 50, 93]
Generated Node #0,0: 61:[53, 50, 93] Operation: 49+44=93
Exploring Operation: 49+50=99, Resulting Numbers: [44, 53, 99]
Generated Node #0,1: 61:[44, 53, 99] Operation: 49+50=99
Exploring Operation: 44+50=94, Resulting Numbers: [49, 53, 94]
Generated Node #0,2: 61:[49, 53, 94] Operation: 44+50=94
Exploring Operation: 44+53=97, Resulting Numbers: [49, 50, 97]
Generated Node #0,3: 61:[49, 50, 97] Operation: 44+53=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[53, 50, 93], Operations: ['49+44=93']
Exploring Operation: 93-50=43, Resulting Numbers: [53, 43]
Generated Node #0,0,0: 61:[53, 43] Operation: 93-50=43
Exploring Operation: 53+50=103, Resulting Numbers: [93, 103]
Generated Node #0,0,1: 61:[93, 103] Operation: 53+50=103
Exploring Operation: 93-53=40, Resulting Numbers: [50, 40]
Generated Node #0,0,2: 61:[50, 40] Operation: 93-53=40
Exploring Operation: 53-50=3, Resulting Numbers: [93, 3]
Generated Node #0,0,3: 61:[93, 3] Operation: 53-50=3
Moving to Node #0,0,0
Current State: 61:[53, 43], Operations: ['49+44=93', '93-50=43']
Exploring Operation: 53+43=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 53*43=2279, Resulting Numbers: [2279]
2279,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[50, 40], Operations: ['49+44=93', '93-53=40']
Exploring Operation: 50*40=2000, Resulting Numbers: [2000]
2000,61 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[93, 103], Operations: ['49+44=93', '53+50=103']
Exploring Operation: 103-93=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 93*103=9579, Resulting Numbers: [9579]
9579,61 unequal: No Solution
Exploring Operation: 93+103=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[93, 3], Operations: ['49+44=93', '53-50=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,61 unequal: No Solution
Exploring Operation: 93*3=279, Resulting Numbers: [279]
279,61 unequal: No Solution
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[49, 53, 94], Operations: ['44+50=94']
Exploring Operation: 94-53=41, Resulting Numbers: [49, 41]
Generated Node #0,2,0: 61:[49, 41] Operation: 94-53=41
Exploring Operation: 94-49=45, Resulting Numbers: [53, 45]
Generated Node #0,2,1: 61:[53, 45] Operation: 94-49=45
Exploring Operation: 53-49=4, Resulting Numbers: [94, 4]
Generated Node #0,2,2: 61:[94, 4] Operation: 53-49=4
Exploring Operation: 49+53=102, Resulting Numbers: [94, 102]
Generated Node #0,2,3: 61:[94, 102] Operation: 49+53=102
Moving to Node #0,2,1
Current State: 61:[53, 45], Operations: ['44+50=94', '94-49=45']
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 53*45=2385, Resulting Numbers: [2385]
2385,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[49, 41], Operations: ['44+50=94', '94-53=41']
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 49*41=2009, Resulting Numbers: [2009]
2009,61 unequal: No Solution
Exploring Operation: 49+41=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[94, 102], Operations: ['44+50=94', '49+53=102']
Exploring Operation: 94+102=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Exploring Operation: 94*102=9588, Resulting Numbers: [9588]
9588,61 unequal: No Solution
Exploring Operation: 102-94=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[94, 4], Operations: ['44+50=94', '53-49=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[49, 50, 97], Operations: ['44+53=97']
Exploring Operation: 97-50=47, Resulting Numbers: [49, 47]
Generated Node #0,3,0: 61:[49, 47] Operation: 97-50=47
Exploring Operation: 97-49=48, Resulting Numbers: [50, 48]
Generated Node #0,3,1: 61:[50, 48] Operation: 97-49=48
Exploring Operation: 49+50=99, Resulting Numbers: [97, 99]
Generated Node #0,3,2: 61:[97, 99] Operation: 49+50=99
Exploring Operation: 50-49=1, Resulting Numbers: [97, 1]
Generated Node #0,3,3: 61:[97, 1] Operation: 50-49=1
Moving to Node #0,3,1
Current State: 61:[50, 48], Operations: ['44+53=97', '97-49=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[49, 47], Operations: ['44+53=97', '97-50=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,61 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[97, 99], Operations: ['44+53=97', '49+50=99']
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 97*99=9603, Resulting Numbers: [9603]
9603,61 unequal: No Solution
Exploring Operation: 97+99=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[97, 1], Operations: ['44+53=97', '50-49=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,61 unequal: No Solution
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,61 unequal: No Solution
Exploring Operation: 97+1=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[44, 53, 99], Operations: ['49+50=99']
Exploring Operation: 99-53=46, Resulting Numbers: [44, 46]
Generated Node #0,1,0: 61:[44, 46] Operation: 99-53=46
Exploring Operation: 53-44=9, Resulting Numbers: [99, 9]
Generated Node #0,1,1: 61:[99, 9] Operation: 53-44=9
Exploring Operation: 44+53=97, Resulting Numbers: [99, 97]
Generated Node #0,1,2: 61:[99, 97] Operation: 44+53=97
Exploring Operation: 99-44=55, Resulting Numbers: [53, 55]
Generated Node #0,1,3: 61:[53, 55] Operation: 99-44=55
Moving to Node #0,1,3
Current State: 61:[53, 55], Operations: ['49+50=99', '99-44=55']
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 53*55=2915, Resulting Numbers: [2915]
2915,61 unequal: No Solution
Exploring Operation: 53+55=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[44, 46], Operations: ['49+50=99', '99-53=46']
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[99, 97], Operations: ['49+50=99', '44+53=97']
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,61 unequal: No Solution
Exploring Operation: 99*97=9603, Resulting Numbers: [9603]
9603,61 unequal: No Solution
Exploring Operation: 99+97=196, Resulting Numbers: [196]
196,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[99, 9], Operations: ['49+50=99', '53-44=9']
Exploring Operation: 99*9=891, Resulting Numbers: [891]
891,61 unequal: No Solution
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 99+9=108, Resulting Numbers: [108]
108,61 unequal: No Solution
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
66,
20,
22,
10
] | 27
|
[
"66/22=3",
"20+10=30",
"30-3=27"
] |
Current State: 27:[66, 20, 22, 10], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [20, 10, 3]
Generated Node #2: [20, 10, 3] from Operation: 66/22=3
Current State: 27:[20, 10, 3], Operations: ['66/22=3']
Exploring Operation: 20+10=30, Resulting Numbers: [3, 30]
Generated Node #3: [3, 30] from Operation: 20+10=30
Current State: 27:[3, 30], Operations: ['66/22=3', '20+10=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
Current State: 27:[66, 20, 22, 10], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [20, 22, 56]
Generated Node #0,0: 27:[20, 22, 56] Operation: 66-10=56
Exploring Operation: 66/22=3, Resulting Numbers: [20, 10, 3]
Generated Node #0,1: 27:[20, 10, 3] Operation: 66/22=3
Exploring Operation: 66-22=44, Resulting Numbers: [20, 10, 44]
Generated Node #0,2: 27:[20, 10, 44] Operation: 66-22=44
Exploring Operation: 66-20=46, Resulting Numbers: [22, 10, 46]
Generated Node #0,3: 27:[22, 10, 46] Operation: 66-20=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[20, 10, 3], Operations: ['66/22=3']
Exploring Operation: 20-10=10, Resulting Numbers: [3, 10]
Generated Node #0,1,0: 27:[3, 10] Operation: 20-10=10
Exploring Operation: 20/10=2, Resulting Numbers: [3, 2]
Generated Node #0,1,1: 27:[3, 2] Operation: 20/10=2
Exploring Operation: 20+3=23, Resulting Numbers: [10, 23]
Generated Node #0,1,2: 27:[10, 23] Operation: 20+3=23
Exploring Operation: 20+10=30, Resulting Numbers: [3, 30]
Generated Node #0,1,3: 27:[3, 30] Operation: 20+10=30
Moving to Node #0,1,0
Current State: 27:[3, 10], Operations: ['66/22=3', '20-10=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[3, 2], Operations: ['66/22=3', '20/10=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[3, 30], Operations: ['66/22=3', '20+10=30']
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,27 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[66, 20, 22, 10], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [20, 10, 3]
Generated Node #0,1: 27:[20, 10, 3] Operation: 66/22=3
Moving to Node #0,1
Current State: 27:[20, 10, 3], Operations: ['66/22=3']
Exploring Operation: 20+10=30, Resulting Numbers: [3, 30]
Generated Node #0,1,3: 27:[3, 30] Operation: 20+10=30
Moving to Node #0,1,3
Current State: 27:[3, 30], Operations: ['66/22=3', '20+10=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771
|
hs_4
|
mult_heuristic
|
[
91,
89,
88,
99
] | 56
|
[
"91-88=3",
"99/3=33",
"89-33=56"
] |
Current State: 56:[91, 89, 88, 99], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [89, 99, 3]
Generated Node #2: [89, 99, 3] from Operation: 91-88=3
Current State: 56:[89, 99, 3], Operations: ['91-88=3']
Exploring Operation: 99/3=33, Resulting Numbers: [89, 33]
Generated Node #3: [89, 33] from Operation: 99/3=33
Current State: 56:[89, 33], Operations: ['91-88=3', '99/3=33']
Exploring Operation: 89-33=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[91, 89, 88, 99], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [91, 88, 10]
Generated Node #0,0: 56:[91, 88, 10] Operation: 99-89=10
Exploring Operation: 91-89=2, Resulting Numbers: [88, 99, 2]
Generated Node #0,1: 56:[88, 99, 2] Operation: 91-89=2
Exploring Operation: 99-88=11, Resulting Numbers: [91, 89, 11]
Generated Node #0,2: 56:[91, 89, 11] Operation: 99-88=11
Exploring Operation: 99-91=8, Resulting Numbers: [89, 88, 8]
Generated Node #0,3: 56:[89, 88, 8] Operation: 99-91=8
Moving to Node #0,3
Current State: 56:[89, 88, 8], Operations: ['99-91=8']
Exploring Operation: 89-8=81, Resulting Numbers: [88, 81]
Generated Node #0,3,0: 56:[88, 81] Operation: 89-8=81
Exploring Operation: 88/8=11, Resulting Numbers: [89, 11]
Generated Node #0,3,1: 56:[89, 11] Operation: 88/8=11
Exploring Operation: 89-88=1, Resulting Numbers: [8, 1]
Generated Node #0,3,2: 56:[8, 1] Operation: 89-88=1
Exploring Operation: 88-8=80, Resulting Numbers: [89, 80]
Generated Node #0,3,3: 56:[89, 80] Operation: 88-8=80
Moving to Node #0,0
Current State: 56:[91, 88, 10], Operations: ['99-89=10']
Exploring Operation: 91-88=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 56:[10, 3] Operation: 91-88=3
Exploring Operation: 91+10=101, Resulting Numbers: [88, 101]
Generated Node #0,0,1: 56:[88, 101] Operation: 91+10=101
Exploring Operation: 88-10=78, Resulting Numbers: [91, 78]
Generated Node #0,0,2: 56:[91, 78] Operation: 88-10=78
Exploring Operation: 91-10=81, Resulting Numbers: [88, 81]
Generated Node #0,0,3: 56:[88, 81] Operation: 91-10=81
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[10, 3], Operations: ['99-89=10', '91-88=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,56 unequal: No Solution
No 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: 56:[91, 78], Operations: ['99-89=10', '88-10=78']
Exploring Operation: 91*78=7098, Resulting Numbers: [7098]
7098,56 unequal: No Solution
Exploring Operation: 91+78=169, Resulting Numbers: [169]
169,56 unequal: No Solution
Exploring Operation: 91-78=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No 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: 56:[88, 81], Operations: ['99-89=10', '91-10=81']
Exploring Operation: 88*81=7128, Resulting Numbers: [7128]
7128,56 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 88+81=169, Resulting Numbers: [169]
169,56 unequal: No Solution
No 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: 56:[88, 101], Operations: ['99-89=10', '91+10=101']
Exploring Operation: 88+101=189, Resulting Numbers: [189]
189,56 unequal: No Solution
Exploring Operation: 101-88=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 88*101=8888, Resulting Numbers: [8888]
8888,56 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: 56:[91, 89, 11], Operations: ['99-88=11']
Exploring Operation: 91-11=80, Resulting Numbers: [89, 80]
Generated Node #0,2,0: 56:[89, 80] Operation: 91-11=80
Exploring Operation: 89-11=78, Resulting Numbers: [91, 78]
Generated Node #0,2,1: 56:[91, 78] Operation: 89-11=78
Exploring Operation: 91+11=102, Resulting Numbers: [89, 102]
Generated Node #0,2,2: 56:[89, 102] Operation: 91+11=102
Exploring Operation: 91-89=2, Resulting Numbers: [11, 2]
Generated Node #0,2,3: 56:[11, 2] Operation: 91-89=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 56:[11, 2], Operations: ['99-88=11', '91-89=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,56 unequal: No Solution
No 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: 56:[89, 80], Operations: ['99-88=11', '91-11=80']
Exploring Operation: 89+80=169, Resulting Numbers: [169]
169,56 unequal: No Solution
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 89*80=7120, Resulting Numbers: [7120]
7120,56 unequal: No Solution
No 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: 56:[91, 78], Operations: ['99-88=11', '89-11=78']
Exploring Operation: 91+78=169, Resulting Numbers: [169]
169,56 unequal: No Solution
Exploring Operation: 91*78=7098, Resulting Numbers: [7098]
7098,56 unequal: No Solution
Exploring Operation: 91-78=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No 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: 56:[89, 102], Operations: ['99-88=11', '91+11=102']
Exploring Operation: 102-89=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 89+102=191, Resulting Numbers: [191]
191,56 unequal: No Solution
Exploring Operation: 89*102=9078, Resulting Numbers: [9078]
9078,56 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: 56:[88, 99, 2], Operations: ['91-89=2']
Exploring Operation: 88/2=44, Resulting Numbers: [99, 44]
Generated Node #0,1,0: 56:[99, 44] Operation: 88/2=44
Exploring Operation: 99-88=11, Resulting Numbers: [2, 11]
Generated Node #0,1,1: 56:[2, 11] Operation: 99-88=11
Exploring Operation: 99-2=97, Resulting Numbers: [88, 97]
Generated Node #0,1,2: 56:[88, 97] Operation: 99-2=97
Exploring Operation: 88-2=86, Resulting Numbers: [99, 86]
Generated Node #0,1,3: 56:[99, 86] Operation: 88-2=86
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[2, 11], Operations: ['91-89=2', '99-88=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,56 unequal: No Solution
No 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: 56:[99, 44], Operations: ['91-89=2', '88/2=44']
Exploring Operation: 99*44=4356, Resulting Numbers: [4356]
4356,56 unequal: No Solution
Exploring Operation: 99+44=143, Resulting Numbers: [143]
143,56 unequal: No Solution
Exploring Operation: 99-44=55, Resulting Numbers: [55]
55,56 unequal: No Solution
No 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: 56:[88, 97], Operations: ['91-89=2', '99-2=97']
Exploring Operation: 97-88=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 88*97=8536, Resulting Numbers: [8536]
8536,56 unequal: No Solution
Exploring Operation: 88+97=185, Resulting Numbers: [185]
185,56 unequal: No Solution
No 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: 56:[99, 86], Operations: ['91-89=2', '88-2=86']
Exploring Operation: 99*86=8514, Resulting Numbers: [8514]
8514,56 unequal: No Solution
Exploring Operation: 99+86=185, Resulting Numbers: [185]
185,56 unequal: No Solution
Exploring Operation: 99-86=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 56:[8, 1], Operations: ['99-91=8', '89-88=1']
Exploring Operation: 8*1=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Moving to Node #0,3,1
Current State: 56:[89, 11], Operations: ['99-91=8', '88/8=11']
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,56 unequal: No Solution
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,56 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[89, 80], Operations: ['99-91=8', '88-8=80']
Exploring Operation: 89-80=9, Resulting Numbers: [9]
9,56 unequal: No Solution
Exploring Operation: 89*80=7120, Resulting Numbers: [7120]
7120,56 unequal: No Solution
Exploring Operation: 89+80=169, Resulting Numbers: [169]
169,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[88, 81], Operations: ['99-91=8', '89-8=81']
Exploring Operation: 88*81=7128, Resulting Numbers: [7128]
7128,56 unequal: No Solution
Exploring Operation: 88-81=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 88+81=169, Resulting Numbers: [169]
169,56 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
51,
26,
39,
53
] | 19
|
[
"51*26=1326",
"1326/39=34",
"53-34=19"
] |
Current State: 19:[51, 26, 39, 53], Operations: []
Exploring Operation: 51*26=1326, Resulting Numbers: [39, 53, 1326]
Generated Node #2: [39, 53, 1326] from Operation: 51*26=1326
Current State: 19:[39, 53, 1326], Operations: ['51*26=1326']
Exploring Operation: 1326/39=34, Resulting Numbers: [53, 34]
Generated Node #3: [53, 34] from Operation: 1326/39=34
Current State: 19:[53, 34], Operations: ['51*26=1326', '1326/39=34']
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[51, 26, 39, 53], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [26, 53, 12]
Generated Node #0,0: 19:[26, 53, 12] Operation: 51-39=12
Exploring Operation: 51-26=25, Resulting Numbers: [39, 53, 25]
Generated Node #0,1: 19:[39, 53, 25] Operation: 51-26=25
Exploring Operation: 53-39=14, Resulting Numbers: [51, 26, 14]
Generated Node #0,2: 19:[51, 26, 14] Operation: 53-39=14
Exploring Operation: 53-51=2, Resulting Numbers: [26, 39, 2]
Generated Node #0,3: 19:[26, 39, 2] Operation: 53-51=2
Moving to Node #0,2
Current State: 19:[51, 26, 14], Operations: ['53-39=14']
Exploring Operation: 26-14=12, Resulting Numbers: [51, 12]
Generated Node #0,2,0: 19:[51, 12] Operation: 26-14=12
Exploring Operation: 51-26=25, Resulting Numbers: [14, 25]
Generated Node #0,2,1: 19:[14, 25] Operation: 51-26=25
Exploring Operation: 51-14=37, Resulting Numbers: [26, 37]
Generated Node #0,2,2: 19:[26, 37] Operation: 51-14=37
Exploring Operation: 51+14=65, Resulting Numbers: [26, 65]
Generated Node #0,2,3: 19:[26, 65] Operation: 51+14=65
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[14, 25], Operations: ['53-39=14', '51-26=25']
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,19 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,19 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 #0,2,2
Current State: 19:[26, 37], Operations: ['53-39=14', '51-14=37']
Exploring Operation: 37-26=11, Resulting Numbers: [11]
11,19 unequal: No Solution
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
No 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: 19:[51, 12], Operations: ['53-39=14', '26-14=12']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,19 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 #0,2,3
Current State: 19:[26, 65], Operations: ['53-39=14', '51+14=65']
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 26*65=1690, Resulting Numbers: [1690]
1690,19 unequal: No Solution
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,19 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: 19:[26, 39, 2], Operations: ['53-51=2']
Exploring Operation: 26/2=13, Resulting Numbers: [39, 13]
Generated Node #0,3,0: 19:[39, 13] Operation: 26/2=13
Exploring Operation: 39-2=37, Resulting Numbers: [26, 37]
Generated Node #0,3,1: 19:[26, 37] Operation: 39-2=37
Exploring Operation: 39-26=13, Resulting Numbers: [2, 13]
Generated Node #0,3,2: 19:[2, 13] Operation: 39-26=13
Exploring Operation: 26-2=24, Resulting Numbers: [39, 24]
Generated Node #0,3,3: 19:[39, 24] Operation: 26-2=24
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 19:[2, 13], Operations: ['53-51=2', '39-26=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,19 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 #0,3,1
Current State: 19:[26, 37], Operations: ['53-51=2', '39-2=37']
Exploring Operation: 26+37=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 26*37=962, Resulting Numbers: [962]
962,19 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 #0,3,3
Current State: 19:[39, 24], Operations: ['53-51=2', '26-2=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,19 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,19 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 #0,3,0
Current State: 19:[39, 13], Operations: ['53-51=2', '26/2=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,19 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,19 unequal: No Solution
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 19:[26, 53, 12], Operations: ['51-39=12']
Exploring Operation: 53-26=27, Resulting Numbers: [12, 27]
Generated Node #0,0,0: 19:[12, 27] Operation: 53-26=27
Exploring Operation: 26+12=38, Resulting Numbers: [53, 38]
Generated Node #0,0,1: 19:[53, 38] Operation: 26+12=38
Exploring Operation: 26-12=14, Resulting Numbers: [53, 14]
Generated Node #0,0,2: 19:[53, 14] Operation: 26-12=14
Exploring Operation: 53-12=41, Resulting Numbers: [26, 41]
Generated Node #0,0,3: 19:[26, 41] Operation: 53-12=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[12, 27], Operations: ['51-39=12', '53-26=27']
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,19 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,19 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 #0,0,3
Current State: 19:[26, 41], Operations: ['51-39=12', '53-12=41']
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,19 unequal: No Solution
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,19 unequal: No Solution
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,19 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:[53, 14], Operations: ['51-39=12', '26-12=14']
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,19 unequal: No Solution
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 53*14=742, Resulting Numbers: [742]
742,19 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:[53, 38], Operations: ['51-39=12', '26+12=38']
Exploring Operation: 53+38=91, Resulting Numbers: [91]
91,19 unequal: No Solution
Exploring Operation: 53*38=2014, Resulting Numbers: [2014]
2014,19 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,19 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:[39, 53, 25], Operations: ['51-26=25']
Exploring Operation: 53-39=14, Resulting Numbers: [25, 14]
Generated Node #0,1,0: 19:[25, 14] Operation: 53-39=14
Exploring Operation: 53-25=28, Resulting Numbers: [39, 28]
Generated Node #0,1,1: 19:[39, 28] Operation: 53-25=28
Exploring Operation: 39+53=92, Resulting Numbers: [25, 92]
Generated Node #0,1,2: 19:[25, 92] Operation: 39+53=92
Exploring Operation: 39-25=14, Resulting Numbers: [53, 14]
Generated Node #0,1,3: 19:[53, 14] Operation: 39-25=14
Moving to Node #0,1,0
Current State: 19:[25, 14], Operations: ['51-26=25', '53-39=14']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[39, 28], Operations: ['51-26=25', '53-25=28']
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,19 unequal: No Solution
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,19 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Moving to Node #0,1,3
Current State: 19:[53, 14], Operations: ['51-26=25', '39-25=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 53*14=742, Resulting Numbers: [742]
742,19 unequal: No Solution
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[25, 92], Operations: ['51-26=25', '39+53=92']
Exploring Operation: 25*92=2300, Resulting Numbers: [2300]
2300,19 unequal: No Solution
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,19 unequal: No Solution
Exploring Operation: 25+92=117, Resulting Numbers: [117]
117,19 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
9,
68,
80,
5
] | 51
|
[
"80-68=12",
"5*12=60",
"60-9=51"
] |
Current State: 51:[9, 68, 80, 5], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [9, 5, 12]
Generated Node #2: [9, 5, 12] from Operation: 80-68=12
Current State: 51:[9, 5, 12], Operations: ['80-68=12']
Exploring Operation: 5*12=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 5*12=60
Current State: 51:[9, 60], Operations: ['80-68=12', '5*12=60']
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
Current State: 51:[9, 68, 80, 5], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [9, 5, 12]
Generated Node #0,0: 51:[9, 5, 12] Operation: 80-68=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[9, 5, 12], Operations: ['80-68=12']
Exploring Operation: 12-9=3, Resulting Numbers: [5, 3]
Generated Node #0,0,0: 51:[5, 3] Operation: 12-9=3
Moving to Node #0,0,0
Current State: 51:[5, 3], Operations: ['80-68=12', '12-9=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,51 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
|
[
11,
77,
27,
81
] | 63
|
[
"77-11=66",
"81/27=3",
"66-3=63"
] |
Current State: 63:[11, 77, 27, 81], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [27, 81, 66]
Generated Node #2: [27, 81, 66] from Operation: 77-11=66
Current State: 63:[27, 81, 66], Operations: ['77-11=66']
Exploring Operation: 81/27=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 81/27=3
Current State: 63:[66, 3], Operations: ['77-11=66', '81/27=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[11, 77, 27, 81], Operations: []
Exploring Operation: 81-27=54, Resulting Numbers: [11, 77, 54]
Generated Node #0,0: 63:[11, 77, 54] Operation: 81-27=54
Exploring Operation: 81/27=3, Resulting Numbers: [11, 77, 3]
Generated Node #0,1: 63:[11, 77, 3] Operation: 81/27=3
Exploring Operation: 77/11=7, Resulting Numbers: [27, 81, 7]
Generated Node #0,2: 63:[27, 81, 7] Operation: 77/11=7
Exploring Operation: 81-77=4, Resulting Numbers: [11, 27, 4]
Generated Node #0,3: 63:[11, 27, 4] Operation: 81-77=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[11, 27, 4], Operations: ['81-77=4']
Exploring Operation: 11+4=15, Resulting Numbers: [27, 15]
Generated Node #0,3,0: 63:[27, 15] Operation: 11+4=15
Exploring Operation: 11-4=7, Resulting Numbers: [27, 7]
Generated Node #0,3,1: 63:[27, 7] Operation: 11-4=7
Exploring Operation: 27-4=23, Resulting Numbers: [11, 23]
Generated Node #0,3,2: 63:[11, 23] Operation: 27-4=23
Exploring Operation: 27-11=16, Resulting Numbers: [4, 16]
Generated Node #0,3,3: 63:[4, 16] Operation: 27-11=16
Moving to Node #0,3,2
Current State: 63:[11, 23], Operations: ['81-77=4', '27-4=23']
Exploring Operation: 11*23=253, Resulting Numbers: [253]
253,63 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Moving to Node #0,3,3
Current State: 63:[4, 16], Operations: ['81-77=4', '27-11=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Moving to Node #0,3,1
Current State: 63:[27, 7], Operations: ['81-77=4', '11-4=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,63 unequal: No Solution
Moving to Node #0,3,0
Current State: 63:[27, 15], Operations: ['81-77=4', '11+4=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,63 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[11, 77, 3], Operations: ['81/27=3']
Exploring Operation: 77-3=74, Resulting Numbers: [11, 74]
Generated Node #0,1,0: 63:[11, 74] Operation: 77-3=74
Exploring Operation: 77-11=66, Resulting Numbers: [3, 66]
Generated Node #0,1,1: 63:[3, 66] Operation: 77-11=66
Exploring Operation: 11-3=8, Resulting Numbers: [77, 8]
Generated Node #0,1,2: 63:[77, 8] Operation: 11-3=8
Exploring Operation: 77/11=7, Resulting Numbers: [3, 7]
Generated Node #0,1,3: 63:[3, 7] Operation: 77/11=7
Moving to Node #0,1,3
Current State: 63:[3, 7], Operations: ['81/27=3', '77/11=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,63 unequal: No Solution
Moving to Node #0,1,1
Current State: 63:[3, 66], Operations: ['81/27=3', '77-11=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 3*66=198, Resulting Numbers: [198]
198,63 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[11, 77, 27, 81], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [11, 77, 3]
Generated Node #0,1: 63:[11, 77, 3] Operation: 81/27=3
Moving to Node #0,1
Current State: 63:[11, 77, 3], Operations: ['81/27=3']
Exploring Operation: 77-11=66, Resulting Numbers: [3, 66]
Generated Node #0,1,1: 63:[3, 66] Operation: 77-11=66
Moving to Node #0,1,1
Current State: 63:[3, 66], Operations: ['81/27=3', '77-11=66']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_4
|
mult_heuristic
|
[
34,
81,
3,
97
] | 53
|
[
"81-34=47",
"3+97=100",
"100-47=53"
] |
Current State: 53:[34, 81, 3, 97], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [3, 97, 47]
Generated Node #2: [3, 97, 47] from Operation: 81-34=47
Current State: 53:[3, 97, 47], Operations: ['81-34=47']
Exploring Operation: 3+97=100, Resulting Numbers: [47, 100]
Generated Node #3: [47, 100] from Operation: 3+97=100
Current State: 53:[47, 100], Operations: ['81-34=47', '3+97=100']
Exploring Operation: 100-47=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[34, 81, 3, 97], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [34, 97, 27]
Generated Node #0,0: 53:[34, 97, 27] Operation: 81/3=27
Exploring Operation: 81-3=78, Resulting Numbers: [34, 97, 78]
Generated Node #0,1: 53:[34, 97, 78] Operation: 81-3=78
Exploring Operation: 97-34=63, Resulting Numbers: [81, 3, 63]
Generated Node #0,2: 53:[81, 3, 63] Operation: 97-34=63
Exploring Operation: 97-3=94, Resulting Numbers: [34, 81, 94]
Generated Node #0,3: 53:[34, 81, 94] Operation: 97-3=94
Exploring Operation: 34+3=37, Resulting Numbers: [81, 97, 37]
Generated Node #0,4: 53:[81, 97, 37] Operation: 34+3=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[34, 97, 78], Operations: ['81-3=78']
Exploring Operation: 34+97=131, Resulting Numbers: [78, 131]
Generated Node #0,1,0: 53:[78, 131] Operation: 34+97=131
Exploring Operation: 78-34=44, Resulting Numbers: [97, 44]
Generated Node #0,1,1: 53:[97, 44] Operation: 78-34=44
Exploring Operation: 34+78=112, Resulting Numbers: [97, 112]
Generated Node #0,1,2: 53:[97, 112] Operation: 34+78=112
Exploring Operation: 97-34=63, Resulting Numbers: [78, 63]
Generated Node #0,1,3: 53:[78, 63] Operation: 97-34=63
Exploring Operation: 97-78=19, Resulting Numbers: [34, 19]
Generated Node #0,1,4: 53:[34, 19] Operation: 97-78=19
Moving to Node #0,1,3
Current State: 53:[78, 63], Operations: ['81-3=78', '97-34=63']
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 78*63=4914, Resulting Numbers: [4914]
4914,53 unequal: No Solution
Exploring Operation: 78+63=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Moving to Node #0,1,4
Current State: 53:[34, 19], Operations: ['81-3=78', '97-78=19']
Exploring Operation: 34*19=646, Resulting Numbers: [646]
646,53 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[34, 81, 3, 97], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [34, 97, 78]
Generated Node #0,1: 53:[34, 97, 78] Operation: 81-3=78
Moving to Node #0,1
Current State: 53:[34, 97, 78], Operations: ['81-3=78']
Exploring Operation: 97-78=19, Resulting Numbers: [34, 19]
Generated Node #0,1,4: 53:[34, 19] Operation: 97-78=19
Moving to Node #0,1,4
Current State: 53:[34, 19], Operations: ['81-3=78', '97-78=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639
|
hs_5
|
sum_heuristic
|
[
87,
15,
66,
6
] | 91
|
[
"87+15=102",
"66/6=11",
"102-11=91"
] |
Current State: 91:[87, 15, 66, 6], Operations: []
Exploring Operation: 87+15=102, Resulting Numbers: [66, 6, 102]
Generated Node #2: [66, 6, 102] from Operation: 87+15=102
Current State: 91:[66, 6, 102], Operations: ['87+15=102']
Exploring Operation: 66/6=11, Resulting Numbers: [102, 11]
Generated Node #3: [102, 11] from Operation: 66/6=11
Current State: 91:[102, 11], Operations: ['87+15=102', '66/6=11']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
Current State: 91:[87, 15, 66, 6], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [15, 6, 21]
Generated Node #0,0: 91:[15, 6, 21] Operation: 87-66=21
Exploring Operation: 66/6=11, Resulting Numbers: [87, 15, 11]
Generated Node #0,1: 91:[87, 15, 11] Operation: 66/6=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[87, 15, 11], Operations: ['66/6=11']
Exploring Operation: 15-11=4, Resulting Numbers: [87, 4]
Generated Node #0,1,0: 91:[87, 4] Operation: 15-11=4
Exploring Operation: 87+11=98, Resulting Numbers: [15, 98]
Generated Node #0,1,1: 91:[15, 98] Operation: 87+11=98
Moving to Node #0,1,0
Current State: 91:[87, 4], Operations: ['66/6=11', '15-11=4']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,91 unequal: No Solution
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[87, 15, 66, 6], Operations: []
Exploring Operation: 66/6=11, Resulting Numbers: [87, 15, 11]
Generated Node #0,1: 91:[87, 15, 11] Operation: 66/6=11
Moving to Node #0,1
Current State: 91:[87, 15, 11], Operations: ['66/6=11']
Exploring Operation: 15-11=4, Resulting Numbers: [87, 4]
Generated Node #0,1,0: 91:[87, 4] Operation: 15-11=4
Moving to Node #0,1,0
Current State: 91:[87, 4], Operations: ['66/6=11', '15-11=4']
Exploring Operation: 87+4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
sum_heuristic
|
[
40,
58,
37,
2
] | 52
|
[
"40-37=3",
"2*3=6",
"58-6=52"
] |
Current State: 52:[40, 58, 37, 2], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [58, 2, 3]
Generated Node #2: [58, 2, 3] from Operation: 40-37=3
Current State: 52:[58, 2, 3], Operations: ['40-37=3']
Exploring Operation: 2*3=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 2*3=6
Current State: 52:[58, 6], Operations: ['40-37=3', '2*3=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[40, 58, 37, 2], Operations: []
Exploring Operation: 58-40=18, Resulting Numbers: [37, 2, 18]
Generated Node #0,0: 52:[37, 2, 18] Operation: 58-40=18
Exploring Operation: 40-37=3, Resulting Numbers: [58, 2, 3]
Generated Node #0,1: 52:[58, 2, 3] Operation: 40-37=3
Exploring Operation: 58-37=21, Resulting Numbers: [40, 2, 21]
Generated Node #0,2: 52:[40, 2, 21] Operation: 58-37=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[58, 2, 3], Operations: ['40-37=3']
Exploring Operation: 58/2=29, Resulting Numbers: [3, 29]
Generated Node #0,1,0: 52:[3, 29] Operation: 58/2=29
Exploring Operation: 58-3=55, Resulting Numbers: [2, 55]
Generated Node #0,1,1: 52:[2, 55] Operation: 58-3=55
Exploring Operation: 58-2=56, Resulting Numbers: [3, 56]
Generated Node #0,1,2: 52:[3, 56] Operation: 58-2=56
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[2, 55], Operations: ['40-37=3', '58-3=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[3, 29], Operations: ['40-37=3', '58/2=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,52 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,52 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 52:[3, 56], Operations: ['40-37=3', '58-2=56']
Exploring Operation: 3*56=168, Resulting Numbers: [168]
168,52 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[37, 2, 18], Operations: ['58-40=18']
Exploring Operation: 37-18=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 52:[2, 19] Operation: 37-18=19
Exploring Operation: 37+18=55, Resulting Numbers: [2, 55]
Generated Node #0,0,1: 52:[2, 55] Operation: 37+18=55
Exploring Operation: 37-2=35, Resulting Numbers: [18, 35]
Generated Node #0,0,2: 52:[18, 35] Operation: 37-2=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[2, 55], Operations: ['58-40=18', '37+18=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,52 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[2, 19], Operations: ['58-40=18', '37-18=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[18, 35], Operations: ['58-40=18', '37-2=35']
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[40, 2, 21], Operations: ['58-37=21']
Exploring Operation: 40-21=19, Resulting Numbers: [2, 19]
Generated Node #0,2,0: 52:[2, 19] Operation: 40-21=19
Exploring Operation: 40+21=61, Resulting Numbers: [2, 61]
Generated Node #0,2,1: 52:[2, 61] Operation: 40+21=61
Exploring Operation: 40/2=20, Resulting Numbers: [21, 20]
Generated Node #0,2,2: 52:[21, 20] Operation: 40/2=20
Moving to Node #0,2,0
Current State: 52:[2, 19], Operations: ['58-37=21', '40-21=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,52 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[2, 61], Operations: ['58-37=21', '40+21=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[21, 20], Operations: ['58-37=21', '40/2=20']
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,52 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,52 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,
16,
20,
18
] | 100
|
[
"20-18=2",
"42*2=84",
"16+84=100"
] |
Current State: 100:[42, 16, 20, 18], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [42, 16, 2]
Generated Node #2: [42, 16, 2] from Operation: 20-18=2
Current State: 100:[42, 16, 2], Operations: ['20-18=2']
Exploring Operation: 42*2=84, Resulting Numbers: [16, 84]
Generated Node #3: [16, 84] from Operation: 42*2=84
Current State: 100:[16, 84], Operations: ['20-18=2', '42*2=84']
Exploring Operation: 16+84=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[42, 16, 20, 18], Operations: []
Exploring Operation: 42-16=26, Resulting Numbers: [20, 18, 26]
Generated Node #0,0: 100:[20, 18, 26] Operation: 42-16=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[20, 18, 26], Operations: ['42-16=26']
Exploring Operation: 20-18=2, Resulting Numbers: [26, 2]
Generated Node #0,0,0: 100:[26, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 100:[26, 2], Operations: ['42-16=26', '20-18=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
79,
11,
4,
12
] | 83
|
[
"79+4=83",
"12-11=1",
"83*1=83"
] |
Current State: 83:[79, 11, 4, 12], Operations: []
Exploring Operation: 79+4=83, Resulting Numbers: [11, 12, 83]
Generated Node #2: [11, 12, 83] from Operation: 79+4=83
Current State: 83:[11, 12, 83], Operations: ['79+4=83']
Exploring Operation: 12-11=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 12-11=1
Current State: 83:[83, 1], Operations: ['79+4=83', '12-11=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[79, 11, 4, 12], Operations: []
Exploring Operation: 11*4=44, Resulting Numbers: [79, 12, 44]
Generated Node #0,0: 83:[79, 12, 44] Operation: 11*4=44
Exploring Operation: 4*12=48, Resulting Numbers: [79, 11, 48]
Generated Node #0,1: 83:[79, 11, 48] Operation: 4*12=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[79, 11, 48], Operations: ['4*12=48']
Exploring Operation: 11+48=59, Resulting Numbers: [79, 59]
Generated Node #0,1,0: 83:[79, 59] Operation: 11+48=59
Exploring Operation: 79+11=90, Resulting Numbers: [48, 90]
Generated Node #0,1,1: 83:[48, 90] Operation: 79+11=90
Moving to Node #0,1,0
Current State: 83:[79, 59], Operations: ['4*12=48', '11+48=59']
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 79+59=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[48, 90], Operations: ['4*12=48', '79+11=90']
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 48+90=138, Resulting Numbers: [138]
138,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[79, 12, 44], Operations: ['11*4=44']
Exploring Operation: 79+12=91, Resulting Numbers: [44, 91]
Generated Node #0,0,0: 83:[44, 91] Operation: 79+12=91
Exploring Operation: 12+44=56, Resulting Numbers: [79, 56]
Generated Node #0,0,1: 83:[79, 56] Operation: 12+44=56
Moving to Node #0,0,1
Current State: 83:[79, 56], Operations: ['11*4=44', '12+44=56']
Exploring Operation: 79+56=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[44, 91], Operations: ['11*4=44', '79+12=91']
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
31,
7,
74,
80
] | 73
|
[
"80-74=6",
"7*6=42",
"31+42=73"
] |
Current State: 73:[31, 7, 74, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [31, 7, 6]
Generated Node #2: [31, 7, 6] from Operation: 80-74=6
Current State: 73:[31, 7, 6], Operations: ['80-74=6']
Exploring Operation: 7*6=42, Resulting Numbers: [31, 42]
Generated Node #3: [31, 42] from Operation: 7*6=42
Current State: 73:[31, 42], Operations: ['80-74=6', '7*6=42']
Exploring Operation: 31+42=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[31, 7, 74, 80], Operations: []
Exploring Operation: 31+7=38, Resulting Numbers: [74, 80, 38]
Generated Node #0,0: 73:[74, 80, 38] Operation: 31+7=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[74, 80, 38], Operations: ['31+7=38']
Exploring Operation: 80-38=42, Resulting Numbers: [74, 42]
Generated Node #0,0,0: 73:[74, 42] Operation: 80-38=42
Moving to Node #0,0,0
Current State: 73:[74, 42], Operations: ['31+7=38', '80-38=42']
Exploring Operation: 74-42=32, Resulting Numbers: [32]
32,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
18,
1,
5,
2
] | 79
|
[
"18-2=16",
"5*16=80",
"80-1=79"
] |
Current State: 79:[18, 1, 5, 2], Operations: []
Exploring Operation: 18-2=16, Resulting Numbers: [1, 5, 16]
Generated Node #2: [1, 5, 16] from Operation: 18-2=16
Current State: 79:[1, 5, 16], Operations: ['18-2=16']
Exploring Operation: 5*16=80, Resulting Numbers: [1, 80]
Generated Node #3: [1, 80] from Operation: 5*16=80
Current State: 79:[1, 80], Operations: ['18-2=16', '5*16=80']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[18, 1, 5, 2], Operations: []
Exploring Operation: 18*5=90, Resulting Numbers: [1, 2, 90]
Generated Node #0,0: 79:[1, 2, 90] Operation: 18*5=90
Exploring Operation: 5*2=10, Resulting Numbers: [18, 1, 10]
Generated Node #0,1: 79:[18, 1, 10] Operation: 5*2=10
Exploring Operation: 18+5=23, Resulting Numbers: [1, 2, 23]
Generated Node #0,2: 79:[1, 2, 23] Operation: 18+5=23
Exploring Operation: 18*2=36, Resulting Numbers: [1, 5, 36]
Generated Node #0,3: 79:[1, 5, 36] Operation: 18*2=36
Exploring Operation: 18+1=19, Resulting Numbers: [5, 2, 19]
Generated Node #0,4: 79:[5, 2, 19] Operation: 18+1=19
Moving to Node #0,0
Current State: 79:[1, 2, 90], Operations: ['18*5=90']
Exploring Operation: 1*2=2, Resulting Numbers: [90, 2]
Generated Node #0,0,0: 79:[90, 2] Operation: 1*2=2
Exploring Operation: 90-2=88, Resulting Numbers: [1, 88]
Generated Node #0,0,1: 79:[1, 88] Operation: 90-2=88
Exploring Operation: 1+2=3, Resulting Numbers: [90, 3]
Generated Node #0,0,2: 79:[90, 3] Operation: 1+2=3
Exploring Operation: 90-1=89, Resulting Numbers: [2, 89]
Generated Node #0,0,3: 79:[2, 89] Operation: 90-1=89
Exploring Operation: 2/1=2, Resulting Numbers: [90, 2]
Generated Node #0,0,4: 79:[90, 2] Operation: 2/1=2
Moving to Node #0,3
Current State: 79:[1, 5, 36], Operations: ['18*2=36']
Exploring Operation: 1+36=37, Resulting Numbers: [5, 37]
Generated Node #0,3,0: 79:[5, 37] Operation: 1+36=37
Exploring Operation: 5+36=41, Resulting Numbers: [1, 41]
Generated Node #0,3,1: 79:[1, 41] Operation: 5+36=41
Exploring Operation: 5/1=5, Resulting Numbers: [36, 5]
Generated Node #0,3,2: 79:[36, 5] Operation: 5/1=5
Exploring Operation: 1+5=6, Resulting Numbers: [36, 6]
Generated Node #0,3,3: 79:[36, 6] Operation: 1+5=6
Exploring Operation: 1*5=5, Resulting Numbers: [36, 5]
Generated Node #0,3,4: 79:[36, 5] Operation: 1*5=5
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[5, 37], Operations: ['18*2=36', '1+36=37']
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,79 unequal: No Solution
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[1, 41], Operations: ['18*2=36', '5+36=41']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[36, 6], Operations: ['18*2=36', '1+5=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,79 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,79 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[36, 5], Operations: ['18*2=36', '5/1=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 79:[36, 5], Operations: ['18*2=36', '1*5=5']
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,79 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 79:[18, 1, 10], Operations: ['5*2=10']
Exploring Operation: 18+1=19, Resulting Numbers: [10, 19]
Generated Node #0,1,0: 79:[10, 19] Operation: 18+1=19
Exploring Operation: 18*1=18, Resulting Numbers: [10, 18]
Generated Node #0,1,1: 79:[10, 18] Operation: 18*1=18
Exploring Operation: 1+10=11, Resulting Numbers: [18, 11]
Generated Node #0,1,2: 79:[18, 11] Operation: 1+10=11
Exploring Operation: 18/1=18, Resulting Numbers: [10, 18]
Generated Node #0,1,3: 79:[10, 18] Operation: 18/1=18
Exploring Operation: 18+10=28, Resulting Numbers: [1, 28]
Generated Node #0,1,4: 79:[1, 28] Operation: 18+10=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[10, 19], Operations: ['5*2=10', '18+1=19']
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,79 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:[18, 11], Operations: ['5*2=10', '1+10=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,79 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,79 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 79:[1, 28], Operations: ['5*2=10', '18+10=28']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[10, 18], Operations: ['5*2=10', '18*1=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[10, 18], Operations: ['5*2=10', '18/1=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,79 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: 79:[1, 2, 23], Operations: ['18+5=23']
Exploring Operation: 1*2=2, Resulting Numbers: [23, 2]
Generated Node #0,2,0: 79:[23, 2] Operation: 1*2=2
Exploring Operation: 1+23=24, Resulting Numbers: [2, 24]
Generated Node #0,2,1: 79:[2, 24] Operation: 1+23=24
Exploring Operation: 2*23=46, Resulting Numbers: [1, 46]
Generated Node #0,2,2: 79:[1, 46] Operation: 2*23=46
Exploring Operation: 1+2=3, Resulting Numbers: [23, 3]
Generated Node #0,2,3: 79:[23, 3] Operation: 1+2=3
Exploring Operation: 2+23=25, Resulting Numbers: [1, 25]
Generated Node #0,2,4: 79:[1, 25] Operation: 2+23=25
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[1, 46], Operations: ['18+5=23', '2*23=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[2, 24], Operations: ['18+5=23', '1+23=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[23, 3], Operations: ['18+5=23', '1+2=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[1, 25], Operations: ['18+5=23', '2+23=25']
Exploring Operation: 1+25=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[23, 2], Operations: ['18+5=23', '1*2=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,79 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,79 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 79:[5, 2, 19], Operations: ['18+1=19']
Exploring Operation: 5+2=7, Resulting Numbers: [19, 7]
Generated Node #0,4,0: 79:[19, 7] Operation: 5+2=7
Exploring Operation: 2*19=38, Resulting Numbers: [5, 38]
Generated Node #0,4,1: 79:[5, 38] Operation: 2*19=38
Exploring Operation: 5+19=24, Resulting Numbers: [2, 24]
Generated Node #0,4,2: 79:[2, 24] Operation: 5+19=24
Exploring Operation: 5*2=10, Resulting Numbers: [19, 10]
Generated Node #0,4,3: 79:[19, 10] Operation: 5*2=10
Exploring Operation: 5*19=95, Resulting Numbers: [2, 95]
Generated Node #0,4,4: 79:[2, 95] Operation: 5*19=95
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[2, 95], Operations: ['18+1=19', '5*19=95']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,79 unequal: No Solution
Exploring Operation: 2*95=190, Resulting Numbers: [190]
190,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[5, 38], Operations: ['18+1=19', '2*19=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,79 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,79 unequal: No Solution
Exploring Operation: 5*38=190, Resulting Numbers: [190]
190,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[19, 10], Operations: ['18+1=19', '5*2=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[19, 7], Operations: ['18+1=19', '5+2=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[2, 24], Operations: ['18+1=19', '5+19=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,79 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,79 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: 79:[1, 88], Operations: ['18*5=90', '90-2=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,79 unequal: No Solution
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,79 unequal: No Solution
Exploring Operation: 1*88=88, Resulting Numbers: [88]
88,79 unequal: No Solution
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[2, 89], Operations: ['18*5=90', '90-1=89']
Exploring Operation: 2*89=178, Resulting Numbers: [178]
178,79 unequal: No Solution
Exploring Operation: 2+89=91, Resulting Numbers: [91]
91,79 unequal: No Solution
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[90, 3], Operations: ['18*5=90', '1+2=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,79 unequal: No Solution
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,79 unequal: No Solution
Exploring Operation: 90+3=93, Resulting Numbers: [93]
93,79 unequal: No Solution
Exploring Operation: 90*3=270, Resulting Numbers: [270]
270,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[90, 2], Operations: ['18*5=90', '1*2=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,79 unequal: No Solution
Exploring Operation: 90*2=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[90, 2], Operations: ['18*5=90', '2/1=2']
Exploring Operation: 90*2=180, Resulting Numbers: [180]
180,79 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,79 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,79 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,79 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
17,
68,
2,
48
] | 74
|
[
"17+68=85",
"85-48=37",
"2*37=74"
] |
Current State: 74:[17, 68, 2, 48], Operations: []
Exploring Operation: 17+68=85, Resulting Numbers: [2, 48, 85]
Generated Node #2: [2, 48, 85] from Operation: 17+68=85
Current State: 74:[2, 48, 85], Operations: ['17+68=85']
Exploring Operation: 85-48=37, Resulting Numbers: [2, 37]
Generated Node #3: [2, 37] from Operation: 85-48=37
Current State: 74:[2, 37], Operations: ['17+68=85', '85-48=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[17, 68, 2, 48], Operations: []
Exploring Operation: 17*2=34, Resulting Numbers: [68, 48, 34]
Generated Node #0,0: 74:[68, 48, 34] Operation: 17*2=34
Exploring Operation: 17+48=65, Resulting Numbers: [68, 2, 65]
Generated Node #0,1: 74:[68, 2, 65] Operation: 17+48=65
Exploring Operation: 68/17=4, Resulting Numbers: [2, 48, 4]
Generated Node #0,2: 74:[2, 48, 4] Operation: 68/17=4
Exploring Operation: 48-17=31, Resulting Numbers: [68, 2, 31]
Generated Node #0,3: 74:[68, 2, 31] Operation: 48-17=31
Exploring Operation: 17+68=85, Resulting Numbers: [2, 48, 85]
Generated Node #0,4: 74:[2, 48, 85] Operation: 17+68=85
Moving to Node #0,3
Current State: 74:[68, 2, 31], Operations: ['48-17=31']
Exploring Operation: 68-2=66, Resulting Numbers: [31, 66]
Generated Node #0,3,0: 74:[31, 66] Operation: 68-2=66
Exploring Operation: 2+31=33, Resulting Numbers: [68, 33]
Generated Node #0,3,1: 74:[68, 33] Operation: 2+31=33
Exploring Operation: 68-31=37, Resulting Numbers: [2, 37]
Generated Node #0,3,2: 74:[2, 37] Operation: 68-31=37
Exploring Operation: 68+2=70, Resulting Numbers: [31, 70]
Generated Node #0,3,3: 74:[31, 70] Operation: 68+2=70
Exploring Operation: 68/2=34, Resulting Numbers: [31, 34]
Generated Node #0,3,4: 74:[31, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[2, 37], Operations: ['48-17=31', '68-31=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[17, 68, 2, 48], Operations: []
Exploring Operation: 48-17=31, Resulting Numbers: [68, 2, 31]
Generated Node #0,3: 74:[68, 2, 31] Operation: 48-17=31
Moving to Node #0,3
Current State: 74:[68, 2, 31], Operations: ['48-17=31']
Exploring Operation: 68-31=37, Resulting Numbers: [2, 37]
Generated Node #0,3,2: 74:[2, 37] Operation: 68-31=37
Moving to Node #0,3,2
Current State: 74:[2, 37], Operations: ['48-17=31', '68-31=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
1,
69,
31,
6
] | 86
|
[
"6-1=5",
"31*5=155",
"155-69=86"
] |
Current State: 86:[1, 69, 31, 6], Operations: []
Exploring Operation: 6-1=5, Resulting Numbers: [69, 31, 5]
Generated Node #2: [69, 31, 5] from Operation: 6-1=5
Current State: 86:[69, 31, 5], Operations: ['6-1=5']
Exploring Operation: 31*5=155, Resulting Numbers: [69, 155]
Generated Node #3: [69, 155] from Operation: 31*5=155
Current State: 86:[69, 155], Operations: ['6-1=5', '31*5=155']
Exploring Operation: 155-69=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[1, 69, 31, 6], Operations: []
Exploring Operation: 69+6=75, Resulting Numbers: [1, 31, 75]
Generated Node #0,0: 86:[1, 31, 75] Operation: 69+6=75
Exploring Operation: 69+31=100, Resulting Numbers: [1, 6, 100]
Generated Node #0,1: 86:[1, 6, 100] Operation: 69+31=100
Exploring Operation: 69-31=38, Resulting Numbers: [1, 6, 38]
Generated Node #0,2: 86:[1, 6, 38] Operation: 69-31=38
Moving to Node #0,2
Current State: 86:[1, 6, 38], Operations: ['69-31=38']
Exploring Operation: 6+38=44, Resulting Numbers: [1, 44]
Generated Node #0,2,0: 86:[1, 44] Operation: 6+38=44
Exploring Operation: 1+38=39, Resulting Numbers: [6, 39]
Generated Node #0,2,1: 86:[6, 39] Operation: 1+38=39
Exploring Operation: 6-1=5, Resulting Numbers: [38, 5]
Generated Node #0,2,2: 86:[38, 5] Operation: 6-1=5
Moving to Node #0,1
Current State: 86:[1, 6, 100], Operations: ['69+31=100']
Exploring Operation: 100-6=94, Resulting Numbers: [1, 94]
Generated Node #0,1,0: 86:[1, 94] Operation: 100-6=94
Exploring Operation: 6-1=5, Resulting Numbers: [100, 5]
Generated Node #0,1,1: 86:[100, 5] Operation: 6-1=5
Exploring Operation: 100-1=99, Resulting Numbers: [6, 99]
Generated Node #0,1,2: 86:[6, 99] Operation: 100-1=99
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[1, 94], Operations: ['69+31=100', '100-6=94']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,86 unequal: No Solution
Exploring Operation: 1*94=94, Resulting Numbers: [94]
94,86 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[100, 5], Operations: ['69+31=100', '6-1=5']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,86 unequal: No Solution
Exploring Operation: 100+5=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[6, 99], Operations: ['69+31=100', '100-1=99']
Exploring Operation: 6+99=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 6*99=594, Resulting Numbers: [594]
594,86 unequal: No Solution
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,86 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: 86:[1, 31, 75], Operations: ['69+6=75']
Exploring Operation: 31+75=106, Resulting Numbers: [1, 106]
Generated Node #0,0,0: 86:[1, 106] Operation: 31+75=106
Exploring Operation: 1+31=32, Resulting Numbers: [75, 32]
Generated Node #0,0,1: 86:[75, 32] Operation: 1+31=32
Exploring Operation: 75-31=44, Resulting Numbers: [1, 44]
Generated Node #0,0,2: 86:[1, 44] Operation: 75-31=44
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[1, 44], Operations: ['69+6=75', '75-31=44']
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[1, 106], Operations: ['69+6=75', '31+75=106']
Exploring Operation: 106-1=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 1*106=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 106/1=106, Resulting Numbers: [106]
106,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[75, 32], Operations: ['69+6=75', '1+31=32']
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,86 unequal: No Solution
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,86 unequal: No Solution
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,86 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: 86:[1, 44], Operations: ['69-31=38', '6+38=44']
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 1*44=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[6, 39], Operations: ['69-31=38', '1+38=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,86 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[38, 5], Operations: ['69-31=38', '6-1=5']
Exploring Operation: 38*5=190, Resulting Numbers: [190]
190,86 unequal: No Solution
Exploring Operation: 38+5=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,86 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
6,
80,
2,
42
] | 82
|
[
"80-42=38",
"2*38=76",
"6+76=82"
] |
Current State: 82:[6, 80, 2, 42], Operations: []
Exploring Operation: 80-42=38, Resulting Numbers: [6, 2, 38]
Generated Node #2: [6, 2, 38] from Operation: 80-42=38
Current State: 82:[6, 2, 38], Operations: ['80-42=38']
Exploring Operation: 2*38=76, Resulting Numbers: [6, 76]
Generated Node #3: [6, 76] from Operation: 2*38=76
Current State: 82:[6, 76], Operations: ['80-42=38', '2*38=76']
Exploring Operation: 6+76=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[6, 80, 2, 42], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [80, 42, 3]
Generated Node #0,0: 82:[80, 42, 3] Operation: 6/2=3
Exploring Operation: 6+80=86, Resulting Numbers: [2, 42, 86]
Generated Node #0,1: 82:[2, 42, 86] Operation: 6+80=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[80, 42, 3], Operations: ['6/2=3']
Exploring Operation: 80+3=83, Resulting Numbers: [42, 83]
Generated Node #0,0,0: 82:[42, 83] Operation: 80+3=83
Exploring Operation: 80-42=38, Resulting Numbers: [3, 38]
Generated Node #0,0,1: 82:[3, 38] Operation: 80-42=38
Moving to Node #0,0,0
Current State: 82:[42, 83], Operations: ['6/2=3', '80+3=83']
Exploring Operation: 42+83=125, Resulting Numbers: [125]
125,82 unequal: No Solution
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[3, 38], Operations: ['6/2=3', '80-42=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[2, 42, 86], Operations: ['6+80=86']
Exploring Operation: 86/2=43, Resulting Numbers: [42, 43]
Generated Node #0,1,0: 82:[42, 43] Operation: 86/2=43
Exploring Operation: 86-2=84, Resulting Numbers: [42, 84]
Generated Node #0,1,1: 82:[42, 84] Operation: 86-2=84
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[42, 43], Operations: ['6+80=86', '86/2=43']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[42, 84], Operations: ['6+80=86', '86-2=84']
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
9,
66,
33,
55
] | 33
|
[
"66+55=121",
"9*121=1089",
"1089/33=33"
] |
Current State: 33:[9, 66, 33, 55], Operations: []
Exploring Operation: 66+55=121, Resulting Numbers: [9, 33, 121]
Generated Node #2: [9, 33, 121] from Operation: 66+55=121
Current State: 33:[9, 33, 121], Operations: ['66+55=121']
Exploring Operation: 9*121=1089, Resulting Numbers: [33, 1089]
Generated Node #3: [33, 1089] from Operation: 9*121=1089
Current State: 33:[33, 1089], Operations: ['66+55=121', '9*121=1089']
Exploring Operation: 1089/33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4
|
Current State: 33:[9, 66, 33, 55], Operations: []
Exploring Operation: 66-55=11, Resulting Numbers: [9, 33, 11]
Generated Node #0,0: 33:[9, 33, 11] Operation: 66-55=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[9, 33, 11], Operations: ['66-55=11']
Exploring Operation: 11-9=2, Resulting Numbers: [33, 2]
Generated Node #0,0,0: 33:[33, 2] Operation: 11-9=2
Moving to Node #0,0,0
Current State: 33:[33, 2], Operations: ['66-55=11', '11-9=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,33 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
|
[
7,
49,
59,
79
] | 82
|
[
"7+49=56",
"59+79=138",
"138-56=82"
] |
Current State: 82:[7, 49, 59, 79], Operations: []
Exploring Operation: 7+49=56, Resulting Numbers: [59, 79, 56]
Generated Node #2: [59, 79, 56] from Operation: 7+49=56
Current State: 82:[59, 79, 56], Operations: ['7+49=56']
Exploring Operation: 59+79=138, Resulting Numbers: [56, 138]
Generated Node #3: [56, 138] from Operation: 59+79=138
Current State: 82:[56, 138], Operations: ['7+49=56', '59+79=138']
Exploring Operation: 138-56=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[7, 49, 59, 79], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [49, 79, 52]
Generated Node #0,0: 82:[49, 79, 52] Operation: 59-7=52
Exploring Operation: 49/7=7, Resulting Numbers: [59, 79, 7]
Generated Node #0,1: 82:[59, 79, 7] Operation: 49/7=7
Exploring Operation: 7+59=66, Resulting Numbers: [49, 79, 66]
Generated Node #0,2: 82:[49, 79, 66] Operation: 7+59=66
Exploring Operation: 59-49=10, Resulting Numbers: [7, 79, 10]
Generated Node #0,3: 82:[7, 79, 10] Operation: 59-49=10
Exploring Operation: 49-7=42, Resulting Numbers: [59, 79, 42]
Generated Node #0,4: 82:[59, 79, 42] Operation: 49-7=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[7, 79, 10], Operations: ['59-49=10']
Exploring Operation: 79-7=72, Resulting Numbers: [10, 72]
Generated Node #0,3,0: 82:[10, 72] Operation: 79-7=72
Exploring Operation: 10-7=3, Resulting Numbers: [79, 3]
Generated Node #0,3,1: 82:[79, 3] Operation: 10-7=3
Exploring Operation: 7*10=70, Resulting Numbers: [79, 70]
Generated Node #0,3,2: 82:[79, 70] Operation: 7*10=70
Exploring Operation: 7+79=86, Resulting Numbers: [10, 86]
Generated Node #0,3,3: 82:[10, 86] Operation: 7+79=86
Exploring Operation: 79+10=89, Resulting Numbers: [7, 89]
Generated Node #0,3,4: 82:[7, 89] Operation: 79+10=89
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 82:[79, 3], Operations: ['59-49=10', '10-7=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[7, 49, 59, 79], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [7, 79, 10]
Generated Node #0,3: 82:[7, 79, 10] Operation: 59-49=10
Moving to Node #0,3
Current State: 82:[7, 79, 10], Operations: ['59-49=10']
Exploring Operation: 10-7=3, Resulting Numbers: [79, 3]
Generated Node #0,3,1: 82:[79, 3] Operation: 10-7=3
Moving to Node #0,3,1
Current State: 82:[79, 3], Operations: ['59-49=10', '10-7=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
mult_heuristic
|
[
34,
49,
87,
27
] | 99
|
[
"49-34=15",
"87+27=114",
"114-15=99"
] |
Current State: 99:[34, 49, 87, 27], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [87, 27, 15]
Generated Node #2: [87, 27, 15] from Operation: 49-34=15
Current State: 99:[87, 27, 15], Operations: ['49-34=15']
Exploring Operation: 87+27=114, Resulting Numbers: [15, 114]
Generated Node #3: [15, 114] from Operation: 87+27=114
Current State: 99:[15, 114], Operations: ['49-34=15', '87+27=114']
Exploring Operation: 114-15=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
Current State: 99:[34, 49, 87, 27], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [87, 27, 15]
Generated Node #0,0: 99:[87, 27, 15] Operation: 49-34=15
Exploring Operation: 87-49=38, Resulting Numbers: [34, 27, 38]
Generated Node #0,1: 99:[34, 27, 38] Operation: 87-49=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[34, 27, 38], Operations: ['87-49=38']
Exploring Operation: 34-27=7, Resulting Numbers: [38, 7]
Generated Node #0,1,0: 99:[38, 7] Operation: 34-27=7
Exploring Operation: 38-27=11, Resulting Numbers: [34, 11]
Generated Node #0,1,1: 99:[34, 11] Operation: 38-27=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[34, 11], Operations: ['87-49=38', '38-27=11']
Exploring Operation: 34+11=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[38, 7], Operations: ['87-49=38', '34-27=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[87, 27, 15], Operations: ['49-34=15']
Exploring Operation: 27-15=12, Resulting Numbers: [87, 12]
Generated Node #0,0,0: 99:[87, 12] Operation: 27-15=12
Exploring Operation: 87+15=102, Resulting Numbers: [27, 102]
Generated Node #0,0,1: 99:[27, 102] Operation: 87+15=102
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 99:[27, 102], Operations: ['49-34=15', '87+15=102']
Exploring Operation: 102-27=75, Resulting Numbers: [75]
75,99 unequal: No Solution
Exploring Operation: 27+102=129, Resulting Numbers: [129]
129,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[87, 12], Operations: ['49-34=15', '27-15=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[34, 49, 87, 27], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [87, 27, 15]
Generated Node #0,0: 99:[87, 27, 15] Operation: 49-34=15
Moving to Node #0,0
Current State: 99:[87, 27, 15], Operations: ['49-34=15']
Exploring Operation: 27-15=12, Resulting Numbers: [87, 12]
Generated Node #0,0,0: 99:[87, 12] Operation: 27-15=12
Moving to Node #0,0,0
Current State: 99:[87, 12], Operations: ['49-34=15', '27-15=12']
Exploring Operation: 87+12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243
|
hs_2
|
sum_heuristic
|
[
45,
60,
72,
73
] | 23
|
[
"60*72=4320",
"4320/45=96",
"96-73=23"
] |
Current State: 23:[45, 60, 72, 73], Operations: []
Exploring Operation: 60*72=4320, Resulting Numbers: [45, 73, 4320]
Generated Node #2: [45, 73, 4320] from Operation: 60*72=4320
Current State: 23:[45, 73, 4320], Operations: ['60*72=4320']
Exploring Operation: 4320/45=96, Resulting Numbers: [73, 96]
Generated Node #3: [73, 96] from Operation: 4320/45=96
Current State: 23:[73, 96], Operations: ['60*72=4320', '4320/45=96']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4
|
Current State: 23:[45, 60, 72, 73], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [45, 72, 13]
Generated Node #0,0: 23:[45, 72, 13] Operation: 73-60=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[45, 72, 13], Operations: ['73-60=13']
Exploring Operation: 72-45=27, Resulting Numbers: [13, 27]
Generated Node #0,0,0: 23:[13, 27] Operation: 72-45=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[13, 27], Operations: ['73-60=13', '72-45=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
10,
97,
33,
22
] | 52
|
[
"10+97=107",
"33+22=55",
"107-55=52"
] |
Current State: 52:[10, 97, 33, 22], Operations: []
Exploring Operation: 10+97=107, Resulting Numbers: [33, 22, 107]
Generated Node #2: [33, 22, 107] from Operation: 10+97=107
Current State: 52:[33, 22, 107], Operations: ['10+97=107']
Exploring Operation: 33+22=55, Resulting Numbers: [107, 55]
Generated Node #3: [107, 55] from Operation: 33+22=55
Current State: 52:[107, 55], Operations: ['10+97=107', '33+22=55']
Exploring Operation: 107-55=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[10, 97, 33, 22], Operations: []
Exploring Operation: 97-10=87, Resulting Numbers: [33, 22, 87]
Generated Node #0,0: 52:[33, 22, 87] Operation: 97-10=87
Exploring Operation: 97-33=64, Resulting Numbers: [10, 22, 64]
Generated Node #0,1: 52:[10, 22, 64] Operation: 97-33=64
Exploring Operation: 97-22=75, Resulting Numbers: [10, 33, 75]
Generated Node #0,2: 52:[10, 33, 75] Operation: 97-22=75
Exploring Operation: 33-22=11, Resulting Numbers: [10, 97, 11]
Generated Node #0,3: 52:[10, 97, 11] Operation: 33-22=11
Moving to Node #0,1
Current State: 52:[10, 22, 64], Operations: ['97-33=64']
Exploring Operation: 22-10=12, Resulting Numbers: [64, 12]
Generated Node #0,1,0: 52:[64, 12] Operation: 22-10=12
Exploring Operation: 64-22=42, Resulting Numbers: [10, 42]
Generated Node #0,1,1: 52:[10, 42] Operation: 64-22=42
Exploring Operation: 64-10=54, Resulting Numbers: [22, 54]
Generated Node #0,1,2: 52:[22, 54] Operation: 64-10=54
Exploring Operation: 10+22=32, Resulting Numbers: [64, 32]
Generated Node #0,1,3: 52:[64, 32] Operation: 10+22=32
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[22, 54], Operations: ['97-33=64', '64-10=54']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,52 unequal: No Solution
Exploring Operation: 22*54=1188, Resulting Numbers: [1188]
1188,52 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[64, 12], Operations: ['97-33=64', '22-10=12']
Exploring Operation: 64*12=768, Resulting Numbers: [768]
768,52 unequal: No Solution
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[10, 97, 33, 22], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [10, 22, 64]
Generated Node #0,1: 52:[10, 22, 64] Operation: 97-33=64
Moving to Node #0,1
Current State: 52:[10, 22, 64], Operations: ['97-33=64']
Exploring Operation: 22-10=12, Resulting Numbers: [64, 12]
Generated Node #0,1,0: 52:[64, 12] Operation: 22-10=12
Moving to Node #0,1,0
Current State: 52:[64, 12], Operations: ['97-33=64', '22-10=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
mult_heuristic
|
[
43,
18,
8,
12
] | 35
|
[
"43+18=61",
"8*12=96",
"96-61=35"
] |
Current State: 35:[43, 18, 8, 12], Operations: []
Exploring Operation: 43+18=61, Resulting Numbers: [8, 12, 61]
Generated Node #2: [8, 12, 61] from Operation: 43+18=61
Current State: 35:[8, 12, 61], Operations: ['43+18=61']
Exploring Operation: 8*12=96, Resulting Numbers: [61, 96]
Generated Node #3: [61, 96] from Operation: 8*12=96
Current State: 35:[61, 96], Operations: ['43+18=61', '8*12=96']
Exploring Operation: 96-61=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[43, 18, 8, 12], Operations: []
Exploring Operation: 18-12=6, Resulting Numbers: [43, 8, 6]
Generated Node #0,0: 35:[43, 8, 6] Operation: 18-12=6
Exploring Operation: 43-12=31, Resulting Numbers: [18, 8, 31]
Generated Node #0,1: 35:[18, 8, 31] Operation: 43-12=31
Exploring Operation: 43-8=35, Resulting Numbers: [18, 12, 35]
Generated Node #0,2: 35:[18, 12, 35] Operation: 43-8=35
Exploring Operation: 43-18=25, Resulting Numbers: [8, 12, 25]
Generated Node #0,3: 35:[8, 12, 25] Operation: 43-18=25
Exploring Operation: 18+12=30, Resulting Numbers: [43, 8, 30]
Generated Node #0,4: 35:[43, 8, 30] Operation: 18+12=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[43, 8, 6], Operations: ['18-12=6']
Exploring Operation: 43-8=35, Resulting Numbers: [6, 35]
Generated Node #0,0,0: 35:[6, 35] Operation: 43-8=35
Exploring Operation: 43-6=37, Resulting Numbers: [8, 37]
Generated Node #0,0,1: 35:[8, 37] Operation: 43-6=37
Exploring Operation: 43+6=49, Resulting Numbers: [8, 49]
Generated Node #0,0,2: 35:[8, 49] Operation: 43+6=49
Exploring Operation: 8-6=2, Resulting Numbers: [43, 2]
Generated Node #0,0,3: 35:[43, 2] Operation: 8-6=2
Exploring Operation: 8+6=14, Resulting Numbers: [43, 14]
Generated Node #0,0,4: 35:[43, 14] Operation: 8+6=14
Moving to Node #0,0,0
Current State: 35:[6, 35], Operations: ['18-12=6', '43-8=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,35 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[8, 37], Operations: ['18-12=6', '43-6=37']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[43, 2], Operations: ['18-12=6', '8-6=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,35 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[8, 49], Operations: ['18-12=6', '43+6=49']
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,35 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[43, 14], Operations: ['18-12=6', '8+6=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,35 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,35 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 #0,4
Current State: 35:[43, 8, 30], Operations: ['18+12=30']
Exploring Operation: 43-30=13, Resulting Numbers: [8, 13]
Generated Node #0,4,0: 35:[8, 13] Operation: 43-30=13
Exploring Operation: 30-8=22, Resulting Numbers: [43, 22]
Generated Node #0,4,1: 35:[43, 22] Operation: 30-8=22
Exploring Operation: 8+30=38, Resulting Numbers: [43, 38]
Generated Node #0,4,2: 35:[43, 38] Operation: 8+30=38
Exploring Operation: 43+8=51, Resulting Numbers: [30, 51]
Generated Node #0,4,3: 35:[30, 51] Operation: 43+8=51
Exploring Operation: 43-8=35, Resulting Numbers: [30, 35]
Generated Node #0,4,4: 35:[30, 35] Operation: 43-8=35
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 35:[30, 35], Operations: ['18+12=30', '43-8=35']
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,35 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 35:[8, 13], Operations: ['18+12=30', '43-30=13']
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,35 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 35:[43, 38], Operations: ['18+12=30', '8+30=38']
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,35 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 35:[43, 22], Operations: ['18+12=30', '30-8=22']
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,35 unequal: No Solution
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,35 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 35:[30, 51], Operations: ['18+12=30', '43+8=51']
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,35 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[18, 8, 31], Operations: ['43-12=31']
Exploring Operation: 31-18=13, Resulting Numbers: [8, 13]
Generated Node #0,1,0: 35:[8, 13] Operation: 31-18=13
Exploring Operation: 18-8=10, Resulting Numbers: [31, 10]
Generated Node #0,1,1: 35:[31, 10] Operation: 18-8=10
Exploring Operation: 8+31=39, Resulting Numbers: [18, 39]
Generated Node #0,1,2: 35:[18, 39] Operation: 8+31=39
Exploring Operation: 18+31=49, Resulting Numbers: [8, 49]
Generated Node #0,1,3: 35:[8, 49] Operation: 18+31=49
Exploring Operation: 18+8=26, Resulting Numbers: [31, 26]
Generated Node #0,1,4: 35:[31, 26] Operation: 18+8=26
Moving to Node #0,1,0
Current State: 35:[8, 13], Operations: ['43-12=31', '31-18=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[31, 10], Operations: ['43-12=31', '18-8=10']
Exploring Operation: 31+10=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 31*10=310, Resulting Numbers: [310]
310,35 unequal: No Solution
Moving to Node #0,1,4
Current State: 35:[31, 26], Operations: ['43-12=31', '18+8=26']
Exploring Operation: 31*26=806, Resulting Numbers: [806]
806,35 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[18, 39], Operations: ['43-12=31', '8+31=39']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[8, 49], Operations: ['43-12=31', '18+31=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,35 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 #0,2
Current State: 35:[18, 12, 35], Operations: ['43-8=35']
Exploring Operation: 18+12=30, Resulting Numbers: [35, 30]
Generated Node #0,2,0: 35:[35, 30] Operation: 18+12=30
Exploring Operation: 18+35=53, Resulting Numbers: [12, 53]
Generated Node #0,2,1: 35:[12, 53] Operation: 18+35=53
Exploring Operation: 18-12=6, Resulting Numbers: [35, 6]
Generated Node #0,2,2: 35:[35, 6] Operation: 18-12=6
Exploring Operation: 12+35=47, Resulting Numbers: [18, 47]
Generated Node #0,2,3: 35:[18, 47] Operation: 12+35=47
Exploring Operation: 35-18=17, Resulting Numbers: [12, 17]
Generated Node #0,2,4: 35:[12, 17] Operation: 35-18=17
Moving to Node #0,2,2
Current State: 35:[35, 6], Operations: ['43-8=35', '18-12=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,35 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[35, 30], Operations: ['43-8=35', '18+12=30']
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,35 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,35 unequal: No Solution
Moving to Node #0,2,4
Current State: 35:[12, 17], Operations: ['43-8=35', '35-18=17']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[12, 53], Operations: ['43-8=35', '18+35=53']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 12*53=636, Resulting Numbers: [636]
636,35 unequal: No Solution
Exploring Operation: 12+53=65, Resulting Numbers: [65]
65,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[18, 47], Operations: ['43-8=35', '12+35=47']
Exploring Operation: 18*47=846, Resulting Numbers: [846]
846,35 unequal: No Solution
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,35 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
Current State: 35:[8, 12, 25], Operations: ['43-18=25']
Exploring Operation: 25-12=13, Resulting Numbers: [8, 13]
Generated Node #0,3,0: 35:[8, 13] Operation: 25-12=13
Exploring Operation: 12-8=4, Resulting Numbers: [25, 4]
Generated Node #0,3,1: 35:[25, 4] Operation: 12-8=4
Exploring Operation: 12+25=37, Resulting Numbers: [8, 37]
Generated Node #0,3,2: 35:[8, 37] Operation: 12+25=37
Exploring Operation: 8+25=33, Resulting Numbers: [12, 33]
Generated Node #0,3,3: 35:[12, 33] Operation: 8+25=33
Exploring Operation: 25-8=17, Resulting Numbers: [12, 17]
Generated Node #0,3,4: 35:[12, 17] Operation: 25-8=17
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[8, 37], Operations: ['43-18=25', '12+25=37']
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[8, 13], Operations: ['43-18=25', '25-12=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,35 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[12, 33], Operations: ['43-18=25', '8+25=33']
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,35 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[25, 4], Operations: ['43-18=25', '12-8=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,35 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 35:[12, 17], Operations: ['43-18=25', '25-8=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,35 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
35,
48,
4,
62
] | 45
|
[
"48-35=13",
"62-4=58",
"58-13=45"
] |
Current State: 45:[35, 48, 4, 62], Operations: []
Exploring Operation: 48-35=13, Resulting Numbers: [4, 62, 13]
Generated Node #2: [4, 62, 13] from Operation: 48-35=13
Current State: 45:[4, 62, 13], Operations: ['48-35=13']
Exploring Operation: 62-4=58, Resulting Numbers: [13, 58]
Generated Node #3: [13, 58] from Operation: 62-4=58
Current State: 45:[13, 58], Operations: ['48-35=13', '62-4=58']
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[35, 48, 4, 62], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [35, 4, 14]
Generated Node #0,0: 45:[35, 4, 14] Operation: 62-48=14
Moving to Node #0,0
Current State: 45:[35, 4, 14], Operations: ['62-48=14']
Exploring Operation: 35+14=49, Resulting Numbers: [4, 49]
Generated Node #0,0,0: 45:[4, 49] Operation: 35+14=49
Moving to Node #0,0,0
Current State: 45:[4, 49], Operations: ['62-48=14', '35+14=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[35, 48, 4, 62], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [35, 4, 14]
Generated Node #0,0: 45:[35, 4, 14] Operation: 62-48=14
Moving to Node #0,0
Current State: 45:[35, 4, 14], Operations: ['62-48=14']
Exploring Operation: 35+14=49, Resulting Numbers: [4, 49]
Generated Node #0,0,0: 45:[4, 49] Operation: 35+14=49
Moving to Node #0,0,0
Current State: 45:[4, 49], Operations: ['62-48=14', '35+14=49']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.993924
|
hs_1
|
mult_heuristic
|
[
28,
8,
6,
82
] | 65
|
[
"6*82=492",
"28+492=520",
"520/8=65"
] |
Current State: 65:[28, 8, 6, 82], Operations: []
Exploring Operation: 6*82=492, Resulting Numbers: [28, 8, 492]
Generated Node #2: [28, 8, 492] from Operation: 6*82=492
Current State: 65:[28, 8, 492], Operations: ['6*82=492']
Exploring Operation: 28+492=520, Resulting Numbers: [8, 520]
Generated Node #3: [8, 520] from Operation: 28+492=520
Current State: 65:[8, 520], Operations: ['6*82=492', '28+492=520']
Exploring Operation: 520/8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[28, 8, 6, 82], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [6, 82, 20]
Generated Node #0,0: 65:[6, 82, 20] Operation: 28-8=20
Exploring Operation: 28-6=22, Resulting Numbers: [8, 82, 22]
Generated Node #0,1: 65:[8, 82, 22] Operation: 28-6=22
Exploring Operation: 82-28=54, Resulting Numbers: [8, 6, 54]
Generated Node #0,2: 65:[8, 6, 54] Operation: 82-28=54
Exploring Operation: 82-8=74, Resulting Numbers: [28, 6, 74]
Generated Node #0,3: 65:[28, 6, 74] Operation: 82-8=74
Moving to Node #0,2
Current State: 65:[8, 6, 54], Operations: ['82-28=54']
Exploring Operation: 8+6=14, Resulting Numbers: [54, 14]
Generated Node #0,2,0: 65:[54, 14] Operation: 8+6=14
Exploring Operation: 8+54=62, Resulting Numbers: [6, 62]
Generated Node #0,2,1: 65:[6, 62] Operation: 8+54=62
Exploring Operation: 54/6=9, Resulting Numbers: [8, 9]
Generated Node #0,2,2: 65:[8, 9] Operation: 54/6=9
Exploring Operation: 6+54=60, Resulting Numbers: [8, 60]
Generated Node #0,2,3: 65:[8, 60] Operation: 6+54=60
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[6, 62], Operations: ['82-28=54', '8+54=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,65 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[8, 9], Operations: ['82-28=54', '54/6=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 65:[8, 60], Operations: ['82-28=54', '6+54=60']
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,65 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[54, 14], Operations: ['82-28=54', '8+6=14']
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Exploring Operation: 54*14=756, Resulting Numbers: [756]
756,65 unequal: No Solution
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,65 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: 65:[28, 6, 74], Operations: ['82-8=74']
Exploring Operation: 74-6=68, Resulting Numbers: [28, 68]
Generated Node #0,3,0: 65:[28, 68] Operation: 74-6=68
Exploring Operation: 74-28=46, Resulting Numbers: [6, 46]
Generated Node #0,3,1: 65:[6, 46] Operation: 74-28=46
Exploring Operation: 28+6=34, Resulting Numbers: [74, 34]
Generated Node #0,3,2: 65:[74, 34] Operation: 28+6=34
Exploring Operation: 28-6=22, Resulting Numbers: [74, 22]
Generated Node #0,3,3: 65:[74, 22] Operation: 28-6=22
Moving to Node #0,0
Current State: 65:[6, 82, 20], Operations: ['28-8=20']
Exploring Operation: 6+82=88, Resulting Numbers: [20, 88]
Generated Node #0,0,0: 65:[20, 88] Operation: 6+82=88
Exploring Operation: 82-20=62, Resulting Numbers: [6, 62]
Generated Node #0,0,1: 65:[6, 62] Operation: 82-20=62
Exploring Operation: 82-6=76, Resulting Numbers: [20, 76]
Generated Node #0,0,2: 65:[20, 76] Operation: 82-6=76
Exploring Operation: 20-6=14, Resulting Numbers: [82, 14]
Generated Node #0,0,3: 65:[82, 14] Operation: 20-6=14
Moving to Node #0,1
Current State: 65:[8, 82, 22], Operations: ['28-6=22']
Exploring Operation: 82-8=74, Resulting Numbers: [22, 74]
Generated Node #0,1,0: 65:[22, 74] Operation: 82-8=74
Exploring Operation: 8+82=90, Resulting Numbers: [22, 90]
Generated Node #0,1,1: 65:[22, 90] Operation: 8+82=90
Exploring Operation: 22-8=14, Resulting Numbers: [82, 14]
Generated Node #0,1,2: 65:[82, 14] Operation: 22-8=14
Exploring Operation: 82-22=60, Resulting Numbers: [8, 60]
Generated Node #0,1,3: 65:[8, 60] Operation: 82-22=60
Moving to Node #0,0,1
Current State: 65:[6, 62], Operations: ['28-8=20', '82-20=62']
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,65 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[8, 60], Operations: ['28-6=22', '82-22=60']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,65 unequal: No Solution
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[20, 76], Operations: ['28-8=20', '82-6=76']
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,65 unequal: No Solution
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[82, 14], Operations: ['28-8=20', '20-6=14']
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,65 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[22, 74], Operations: ['28-6=22', '82-8=74']
Exploring Operation: 22*74=1628, Resulting Numbers: [1628]
1628,65 unequal: No Solution
Exploring Operation: 22+74=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[74, 22], Operations: ['82-8=74', '28-6=22']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 74+22=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 74*22=1628, Resulting Numbers: [1628]
1628,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[82, 14], Operations: ['28-6=22', '22-8=14']
Exploring Operation: 82*14=1148, Resulting Numbers: [1148]
1148,65 unequal: No Solution
Exploring Operation: 82+14=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[28, 68], Operations: ['82-8=74', '74-6=68']
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 28*68=1904, Resulting Numbers: [1904]
1904,65 unequal: No Solution
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[6, 46], Operations: ['82-8=74', '74-28=46']
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Exploring Operation: 6*46=276, Resulting Numbers: [276]
276,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[74, 34], Operations: ['82-8=74', '28+6=34']
Exploring Operation: 74*34=2516, Resulting Numbers: [2516]
2516,65 unequal: No Solution
Exploring Operation: 74-34=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Exploring Operation: 74+34=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[20, 88], Operations: ['28-8=20', '6+82=88']
Exploring Operation: 20*88=1760, Resulting Numbers: [1760]
1760,65 unequal: No Solution
Exploring Operation: 88-20=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Exploring Operation: 20+88=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[22, 90], Operations: ['28-6=22', '8+82=90']
Exploring Operation: 22*90=1980, Resulting Numbers: [1980]
1980,65 unequal: No Solution
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,65 unequal: No Solution
Exploring Operation: 22+90=112, Resulting Numbers: [112]
112,65 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
25,
18,
30,
22
] | 95
|
[
"25+18=43",
"30+22=52",
"43+52=95"
] |
Current State: 95:[25, 18, 30, 22], Operations: []
Exploring Operation: 25+18=43, Resulting Numbers: [30, 22, 43]
Generated Node #2: [30, 22, 43] from Operation: 25+18=43
Current State: 95:[30, 22, 43], Operations: ['25+18=43']
Exploring Operation: 30+22=52, Resulting Numbers: [43, 52]
Generated Node #3: [43, 52] from Operation: 30+22=52
Current State: 95:[43, 52], Operations: ['25+18=43', '30+22=52']
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[25, 18, 30, 22], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [25, 18, 8]
Generated Node #0,0: 95:[25, 18, 8] Operation: 30-22=8
Exploring Operation: 25-18=7, Resulting Numbers: [30, 22, 7]
Generated Node #0,1: 95:[30, 22, 7] Operation: 25-18=7
Exploring Operation: 25-22=3, Resulting Numbers: [18, 30, 3]
Generated Node #0,2: 95:[18, 30, 3] Operation: 25-22=3
Exploring Operation: 30-25=5, Resulting Numbers: [18, 22, 5]
Generated Node #0,3: 95:[18, 22, 5] Operation: 30-25=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[18, 22, 5], Operations: ['30-25=5']
Exploring Operation: 18+5=23, Resulting Numbers: [22, 23]
Generated Node #0,3,0: 95:[22, 23] Operation: 18+5=23
Exploring Operation: 22-5=17, Resulting Numbers: [18, 17]
Generated Node #0,3,1: 95:[18, 17] Operation: 22-5=17
Exploring Operation: 22-18=4, Resulting Numbers: [5, 4]
Generated Node #0,3,2: 95:[5, 4] Operation: 22-18=4
Exploring Operation: 18*5=90, Resulting Numbers: [22, 90]
Generated Node #0,3,3: 95:[22, 90] Operation: 18*5=90
Moving to Node #0,3,2
Current State: 95:[5, 4], Operations: ['30-25=5', '22-18=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[18, 17], Operations: ['30-25=5', '22-5=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,95 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[22, 23], Operations: ['30-25=5', '18+5=23']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,95 unequal: No Solution
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[22, 90], Operations: ['30-25=5', '18*5=90']
Exploring Operation: 22*90=1980, Resulting Numbers: [1980]
1980,95 unequal: No Solution
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,95 unequal: No Solution
Exploring Operation: 22+90=112, Resulting Numbers: [112]
112,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[25, 18, 8], Operations: ['30-22=8']
Exploring Operation: 25-8=17, Resulting Numbers: [18, 17]
Generated Node #0,0,0: 95:[18, 17] Operation: 25-8=17
Exploring Operation: 18+8=26, Resulting Numbers: [25, 26]
Generated Node #0,0,1: 95:[25, 26] Operation: 18+8=26
Exploring Operation: 25-18=7, Resulting Numbers: [8, 7]
Generated Node #0,0,2: 95:[8, 7] Operation: 25-18=7
Exploring Operation: 18-8=10, Resulting Numbers: [25, 10]
Generated Node #0,0,3: 95:[25, 10] Operation: 18-8=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[18, 17], Operations: ['30-22=8', '25-8=17']
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,95 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,95 unequal: No Solution
No 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: 95:[8, 7], Operations: ['30-22=8', '25-18=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,95 unequal: No Solution
No 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: 95:[25, 10], Operations: ['30-22=8', '18-8=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,95 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,95 unequal: No Solution
No 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: 95:[25, 26], Operations: ['30-22=8', '18+8=26']
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,95 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,95 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: 95:[18, 30, 3], Operations: ['25-22=3']
Exploring Operation: 30*3=90, Resulting Numbers: [18, 90]
Generated Node #0,2,0: 95:[18, 90] Operation: 30*3=90
Exploring Operation: 30/3=10, Resulting Numbers: [18, 10]
Generated Node #0,2,1: 95:[18, 10] Operation: 30/3=10
Exploring Operation: 30-3=27, Resulting Numbers: [18, 27]
Generated Node #0,2,2: 95:[18, 27] Operation: 30-3=27
Exploring Operation: 30-18=12, Resulting Numbers: [3, 12]
Generated Node #0,2,3: 95:[3, 12] Operation: 30-18=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[18, 90], Operations: ['25-22=3', '30*3=90']
Exploring Operation: 90/18=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 90-18=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 18+90=108, Resulting Numbers: [108]
108,95 unequal: No Solution
Exploring Operation: 18*90=1620, Resulting Numbers: [1620]
1620,95 unequal: No Solution
No 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: 95:[18, 10], Operations: ['25-22=3', '30/3=10']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,95 unequal: No Solution
No 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: 95:[18, 27], Operations: ['25-22=3', '30-3=27']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,95 unequal: No Solution
No 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: 95:[3, 12], Operations: ['25-22=3', '30-18=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,95 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,95 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: 95:[30, 22, 7], Operations: ['25-18=7']
Exploring Operation: 30-7=23, Resulting Numbers: [22, 23]
Generated Node #0,1,0: 95:[22, 23] Operation: 30-7=23
Exploring Operation: 22-7=15, Resulting Numbers: [30, 15]
Generated Node #0,1,1: 95:[30, 15] Operation: 22-7=15
Exploring Operation: 30+7=37, Resulting Numbers: [22, 37]
Generated Node #0,1,2: 95:[22, 37] Operation: 30+7=37
Exploring Operation: 30-22=8, Resulting Numbers: [7, 8]
Generated Node #0,1,3: 95:[7, 8] Operation: 30-22=8
Moving to Node #0,1,3
Current State: 95:[7, 8], Operations: ['25-18=7', '30-22=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[22, 23], Operations: ['25-18=7', '30-7=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,95 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[30, 15], Operations: ['25-18=7', '22-7=15']
Exploring Operation: 30*15=450, Resulting Numbers: [450]
450,95 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[22, 37], Operations: ['25-18=7', '30+7=37']
Exploring Operation: 22*37=814, Resulting Numbers: [814]
814,95 unequal: No Solution
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,95 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
12,
54,
30,
4
] | 92
|
[
"12+54=66",
"30-4=26",
"66+26=92"
] |
Current State: 92:[12, 54, 30, 4], Operations: []
Exploring Operation: 12+54=66, Resulting Numbers: [30, 4, 66]
Generated Node #2: [30, 4, 66] from Operation: 12+54=66
Current State: 92:[30, 4, 66], Operations: ['12+54=66']
Exploring Operation: 30-4=26, Resulting Numbers: [66, 26]
Generated Node #3: [66, 26] from Operation: 30-4=26
Current State: 92:[66, 26], Operations: ['12+54=66', '30-4=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[12, 54, 30, 4], Operations: []
Exploring Operation: 54-30=24, Resulting Numbers: [12, 4, 24]
Generated Node #0,0: 92:[12, 4, 24] Operation: 54-30=24
Exploring Operation: 54-12=42, Resulting Numbers: [30, 4, 42]
Generated Node #0,1: 92:[30, 4, 42] Operation: 54-12=42
Moving to Node #0,0
Current State: 92:[12, 4, 24], Operations: ['54-30=24']
Exploring Operation: 12/4=3, Resulting Numbers: [24, 3]
Generated Node #0,0,0: 92:[24, 3] Operation: 12/4=3
Exploring Operation: 24/12=2, Resulting Numbers: [4, 2]
Generated Node #0,0,1: 92:[4, 2] Operation: 24/12=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[4, 2], Operations: ['54-30=24', '24/12=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[24, 3], Operations: ['54-30=24', '12/4=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,92 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,92 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: 92:[30, 4, 42], Operations: ['54-12=42']
Exploring Operation: 4+42=46, Resulting Numbers: [30, 46]
Generated Node #0,1,0: 92:[30, 46] Operation: 4+42=46
Exploring Operation: 30-4=26, Resulting Numbers: [42, 26]
Generated Node #0,1,1: 92:[42, 26] Operation: 30-4=26
Moving to Node #0,1,0
Current State: 92:[30, 46], Operations: ['54-12=42', '4+42=46']
Exploring Operation: 30+46=76, Resulting Numbers: [76]
76,92 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[42, 26], Operations: ['54-12=42', '30-4=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,92 unequal: No Solution
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,92 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
67,
25,
17,
4
] | 63
|
[
"67-25=42",
"17+4=21",
"42+21=63"
] |
Current State: 63:[67, 25, 17, 4], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [17, 4, 42]
Generated Node #2: [17, 4, 42] from Operation: 67-25=42
Current State: 63:[17, 4, 42], Operations: ['67-25=42']
Exploring Operation: 17+4=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 17+4=21
Current State: 63:[42, 21], Operations: ['67-25=42', '17+4=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[67, 25, 17, 4], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [67, 4, 8]
Generated Node #0,0: 63:[67, 4, 8] Operation: 25-17=8
Exploring Operation: 67-4=63, Resulting Numbers: [25, 17, 63]
Generated Node #0,1: 63:[25, 17, 63] Operation: 67-4=63
Moving to Node #0,0
Current State: 63:[67, 4, 8], Operations: ['25-17=8']
Exploring Operation: 67-4=63, Resulting Numbers: [8, 63]
Generated Node #0,0,0: 63:[8, 63] Operation: 67-4=63
Exploring Operation: 67-8=59, Resulting Numbers: [4, 59]
Generated Node #0,0,1: 63:[4, 59] Operation: 67-8=59
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[8, 63], Operations: ['25-17=8', '67-4=63']
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,63 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[4, 59], Operations: ['25-17=8', '67-8=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,63 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[67, 25, 17, 4], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [67, 4, 8]
Generated Node #0,0: 63:[67, 4, 8] Operation: 25-17=8
Moving to Node #0,0
Current State: 63:[67, 4, 8], Operations: ['25-17=8']
Exploring Operation: 67-8=59, Resulting Numbers: [4, 59]
Generated Node #0,0,1: 63:[4, 59] Operation: 67-8=59
Moving to Node #0,0,1
Current State: 63:[4, 59], Operations: ['25-17=8', '67-8=59']
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
sum_heuristic
|
[
7,
79,
79,
96
] | 89
|
[
"7+79=86",
"79+96=175",
"175-86=89"
] |
Current State: 89:[7, 79, 79, 96], Operations: []
Exploring Operation: 7+79=86, Resulting Numbers: [96, 86]
Generated Node #2: [96, 86] from Operation: 7+79=86
Current State: 89:[96, 86], Operations: ['7+79=86']
Exploring Operation: 79+96=175, Resulting Numbers: [86, 175]
Generated Node #3: [86, 175] from Operation: 79+96=175
Current State: 89:[86, 175], Operations: ['7+79=86', '79+96=175']
Exploring Operation: 175-86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[7, 79, 79, 96], Operations: []
Exploring Operation: 7+79=86, Resulting Numbers: [79, 96, 86]
Generated Node #0,0: 89:[79, 96, 86] Operation: 7+79=86
Exploring Operation: 79-7=72, Resulting Numbers: [79, 96, 72]
Generated Node #0,1: 89:[79, 96, 72] Operation: 79-7=72
Exploring Operation: 79-7=72, Resulting Numbers: [79, 96, 72]
Generated Node #0,2: 89:[79, 96, 72] Operation: 79-7=72
Exploring Operation: 96-7=89, Resulting Numbers: [79, 79, 89]
Generated Node #0,3: 89:[79, 79, 89] Operation: 96-7=89
Exploring Operation: 7+79=86, Resulting Numbers: [79, 96, 86]
Generated Node #0,4: 89:[79, 96, 86] Operation: 7+79=86
Moving to Node #0,0
Current State: 89:[79, 96, 86], Operations: ['7+79=86']
Exploring Operation: 96-79=17, Resulting Numbers: [86, 17]
Generated Node #0,0,0: 89:[86, 17] Operation: 96-79=17
Exploring Operation: 79+96=175, Resulting Numbers: [86, 175]
Generated Node #0,0,1: 89:[86, 175] Operation: 79+96=175
Exploring Operation: 79+86=165, Resulting Numbers: [96, 165]
Generated Node #0,0,2: 89:[96, 165] Operation: 79+86=165
Exploring Operation: 96-86=10, Resulting Numbers: [79, 10]
Generated Node #0,0,3: 89:[79, 10] Operation: 96-86=10
Exploring Operation: 86-79=7, Resulting Numbers: [96, 7]
Generated Node #0,0,4: 89:[96, 7] Operation: 86-79=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[86, 17], Operations: ['7+79=86', '96-79=17']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 86+17=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 86*17=1462, Resulting Numbers: [1462]
1462,89 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:[96, 165], Operations: ['7+79=86', '79+86=165']
Exploring Operation: 96*165=15840, Resulting Numbers: [15840]
15840,89 unequal: No Solution
Exploring Operation: 96+165=261, Resulting Numbers: [261]
261,89 unequal: No Solution
Exploring Operation: 165-96=69, Resulting Numbers: [69]
69,89 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 #0,0,1
Current State: 89:[86, 175], Operations: ['7+79=86', '79+96=175']
Exploring Operation: 175-86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[7, 79, 79, 96], Operations: []
Exploring Operation: 7+79=86, Resulting Numbers: [79, 96, 86]
Generated Node #0,0: 89:[79, 96, 86] Operation: 7+79=86
Moving to Node #0,0
Current State: 89:[79, 96, 86], Operations: ['7+79=86']
Exploring Operation: 79+96=175, Resulting Numbers: [86, 175]
Generated Node #0,0,1: 89:[86, 175] Operation: 79+96=175
Moving to Node #0,0,1
Current State: 89:[86, 175], Operations: ['7+79=86', '79+96=175']
Exploring Operation: 175-86=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771
|
hs_5
|
sum_heuristic
|
[
63,
42,
63,
83
] | 30
|
[
"83-63=20",
"63*20=1260",
"1260/42=30"
] |
Current State: 30:[63, 42, 63, 83], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [42, 20]
Generated Node #2: [42, 20] from Operation: 83-63=20
Current State: 30:[42, 20], Operations: ['83-63=20']
Exploring Operation: 63*20=1260, Resulting Numbers: [42, 1260]
Generated Node #3: [42, 1260] from Operation: 63*20=1260
Current State: 30:[42, 1260], Operations: ['83-63=20', '63*20=1260']
Exploring Operation: 1260/42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[63, 42, 63, 83], Operations: []
Exploring Operation: 63/63=1, Resulting Numbers: [42, 83, 1]
Generated Node #0,0: 30:[42, 83, 1] Operation: 63/63=1
Exploring Operation: 83-63=20, Resulting Numbers: [63, 42, 20]
Generated Node #0,1: 30:[63, 42, 20] Operation: 83-63=20
Exploring Operation: 83-63=20, Resulting Numbers: [42, 63, 20]
Generated Node #0,2: 30:[42, 63, 20] Operation: 83-63=20
Moving to Node #0,1
Current State: 30:[63, 42, 20], Operations: ['83-63=20']
Exploring Operation: 42-20=22, Resulting Numbers: [63, 22]
Generated Node #0,1,0: 30:[63, 22] Operation: 42-20=22
Exploring Operation: 63-20=43, Resulting Numbers: [42, 43]
Generated Node #0,1,1: 30:[42, 43] Operation: 63-20=43
Exploring Operation: 63-42=21, Resulting Numbers: [20, 21]
Generated Node #0,1,2: 30:[20, 21] Operation: 63-42=21
Moving to Node #0,2
Current State: 30:[42, 63, 20], Operations: ['83-63=20']
Exploring Operation: 63-42=21, Resulting Numbers: [20, 21]
Generated Node #0,2,0: 30:[20, 21] Operation: 63-42=21
Exploring Operation: 42-20=22, Resulting Numbers: [63, 22]
Generated Node #0,2,1: 30:[63, 22] Operation: 42-20=22
Exploring Operation: 63-20=43, Resulting Numbers: [42, 43]
Generated Node #0,2,2: 30:[42, 43] Operation: 63-20=43
Moving to Node #0,0
Current State: 30:[42, 83, 1], Operations: ['63/63=1']
Exploring Operation: 83-42=41, Resulting Numbers: [1, 41]
Generated Node #0,0,0: 30:[1, 41] Operation: 83-42=41
Exploring Operation: 83-1=82, Resulting Numbers: [42, 82]
Generated Node #0,0,1: 30:[42, 82] Operation: 83-1=82
Exploring Operation: 42-1=41, Resulting Numbers: [83, 41]
Generated Node #0,0,2: 30:[83, 41] Operation: 42-1=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[1, 41], Operations: ['63/63=1', '83-42=41']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,30 unequal: No Solution
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,30 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:[42, 82], Operations: ['63/63=1', '83-1=82']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,30 unequal: No Solution
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,30 unequal: No Solution
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,30 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:[83, 41], Operations: ['63/63=1', '42-1=41']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 83*41=3403, Resulting Numbers: [3403]
3403,30 unequal: No Solution
Exploring Operation: 83+41=124, Resulting Numbers: [124]
124,30 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: 30:[20, 21], Operations: ['83-63=20', '63-42=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,30 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[20, 21], Operations: ['83-63=20', '63-42=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[42, 43], Operations: ['83-63=20', '63-20=43']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[42, 43], Operations: ['83-63=20', '63-20=43']
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,30 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[63, 22], Operations: ['83-63=20', '42-20=22']
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,30 unequal: No Solution
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[63, 22], Operations: ['83-63=20', '42-20=22']
Exploring Operation: 63*22=1386, Resulting Numbers: [1386]
1386,30 unequal: No Solution
Exploring Operation: 63-22=41, Resulting Numbers: [41]
41,30 unequal: No Solution
Exploring Operation: 63+22=85, Resulting Numbers: [85]
85,30 unequal: No Solution
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
36,
18,
29,
32
] | 15
|
[
"36-18=18",
"32-29=3",
"18-3=15"
] |
Current State: 15:[36, 18, 29, 32], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [29, 32, 18]
Generated Node #2: [29, 32, 18] from Operation: 36-18=18
Current State: 15:[29, 32, 18], Operations: ['36-18=18']
Exploring Operation: 32-29=3, Resulting Numbers: [18, 3]
Generated Node #3: [18, 3] from Operation: 32-29=3
Current State: 15:[18, 3], Operations: ['36-18=18', '32-29=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[36, 18, 29, 32], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [29, 32, 2]
Generated Node #0,0: 15:[29, 32, 2] Operation: 36/18=2
Exploring Operation: 36-29=7, Resulting Numbers: [18, 32, 7]
Generated Node #0,1: 15:[18, 32, 7] Operation: 36-29=7
Exploring Operation: 32-29=3, Resulting Numbers: [36, 18, 3]
Generated Node #0,2: 15:[36, 18, 3] Operation: 32-29=3
Exploring Operation: 36-32=4, Resulting Numbers: [18, 29, 4]
Generated Node #0,3: 15:[18, 29, 4] Operation: 36-32=4
Exploring Operation: 36-18=18, Resulting Numbers: [29, 32, 18]
Generated Node #0,4: 15:[29, 32, 18] Operation: 36-18=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[18, 29, 4], Operations: ['36-32=4']
Exploring Operation: 18+4=22, Resulting Numbers: [29, 22]
Generated Node #0,3,0: 15:[29, 22] Operation: 18+4=22
Exploring Operation: 18-4=14, Resulting Numbers: [29, 14]
Generated Node #0,3,1: 15:[29, 14] Operation: 18-4=14
Exploring Operation: 29-18=11, Resulting Numbers: [4, 11]
Generated Node #0,3,2: 15:[4, 11] Operation: 29-18=11
Exploring Operation: 29-4=25, Resulting Numbers: [18, 25]
Generated Node #0,3,3: 15:[18, 25] Operation: 29-4=25
Exploring Operation: 29+4=33, Resulting Numbers: [18, 33]
Generated Node #0,3,4: 15:[18, 33] Operation: 29+4=33
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 15:[4, 11], Operations: ['36-32=4', '29-18=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[36, 18, 29, 32], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [18, 29, 4]
Generated Node #0,3: 15:[18, 29, 4] Operation: 36-32=4
Moving to Node #0,3
Current State: 15:[18, 29, 4], Operations: ['36-32=4']
Exploring Operation: 29-18=11, Resulting Numbers: [4, 11]
Generated Node #0,3,2: 15:[4, 11] Operation: 29-18=11
Moving to Node #0,3,2
Current State: 15:[4, 11], Operations: ['36-32=4', '29-18=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243
|
hs_5
|
mult_heuristic
|
[
63,
40,
47,
80
] | 10
|
[
"63-40=23",
"80-47=33",
"33-23=10"
] |
Current State: 10:[63, 40, 47, 80], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [47, 80, 23]
Generated Node #2: [47, 80, 23] from Operation: 63-40=23
Current State: 10:[47, 80, 23], Operations: ['63-40=23']
Exploring Operation: 80-47=33, Resulting Numbers: [23, 33]
Generated Node #3: [23, 33] from Operation: 80-47=33
Current State: 10:[23, 33], Operations: ['63-40=23', '80-47=33']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[63, 40, 47, 80], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [40, 47, 17]
Generated Node #0,0: 10:[40, 47, 17] Operation: 80-63=17
Exploring Operation: 80/40=2, Resulting Numbers: [63, 47, 2]
Generated Node #0,1: 10:[63, 47, 2] Operation: 80/40=2
Moving to Node #0,0
Current State: 10:[40, 47, 17], Operations: ['80-63=17']
Exploring Operation: 47-40=7, Resulting Numbers: [17, 7]
Generated Node #0,0,0: 10:[17, 7] Operation: 47-40=7
Exploring Operation: 40-17=23, Resulting Numbers: [47, 23]
Generated Node #0,0,1: 10:[47, 23] Operation: 40-17=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[17, 7], Operations: ['80-63=17', '47-40=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[63, 40, 47, 80], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [40, 47, 17]
Generated Node #0,0: 10:[40, 47, 17] Operation: 80-63=17
Moving to Node #0,0
Current State: 10:[40, 47, 17], Operations: ['80-63=17']
Exploring Operation: 47-40=7, Resulting Numbers: [17, 7]
Generated Node #0,0,0: 10:[17, 7] Operation: 47-40=7
Moving to Node #0,0,0
Current State: 10:[17, 7], Operations: ['80-63=17', '47-40=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
sum_heuristic
|
[
21,
5,
73,
89
] | 10
|
[
"21+5=26",
"89-73=16",
"26-16=10"
] |
Current State: 10:[21, 5, 73, 89], Operations: []
Exploring Operation: 21+5=26, Resulting Numbers: [73, 89, 26]
Generated Node #2: [73, 89, 26] from Operation: 21+5=26
Current State: 10:[73, 89, 26], Operations: ['21+5=26']
Exploring Operation: 89-73=16, Resulting Numbers: [26, 16]
Generated Node #3: [26, 16] from Operation: 89-73=16
Current State: 10:[26, 16], Operations: ['21+5=26', '89-73=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[21, 5, 73, 89], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [21, 5, 16]
Generated Node #0,0: 10:[21, 5, 16] Operation: 89-73=16
Exploring Operation: 73-21=52, Resulting Numbers: [5, 89, 52]
Generated Node #0,1: 10:[5, 89, 52] Operation: 73-21=52
Exploring Operation: 89-21=68, Resulting Numbers: [5, 73, 68]
Generated Node #0,2: 10:[5, 73, 68] Operation: 89-21=68
Exploring Operation: 73-5=68, Resulting Numbers: [21, 89, 68]
Generated Node #0,3: 10:[21, 89, 68] Operation: 73-5=68
Exploring Operation: 21-5=16, Resulting Numbers: [73, 89, 16]
Generated Node #0,4: 10:[73, 89, 16] Operation: 21-5=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[21, 5, 16], Operations: ['89-73=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 10:[5, 5] Operation: 21-16=5
Exploring Operation: 16-5=11, Resulting Numbers: [21, 11]
Generated Node #0,0,1: 10:[21, 11] Operation: 16-5=11
Exploring Operation: 5+16=21, Resulting Numbers: [21, 21]
Generated Node #0,0,2: 10:[21, 21] Operation: 5+16=21
Exploring Operation: 21-5=16, Resulting Numbers: [16, 16]
Generated Node #0,0,3: 10:[16, 16] Operation: 21-5=16
Exploring Operation: 21+5=26, Resulting Numbers: [16, 26]
Generated Node #0,0,4: 10:[16, 26] Operation: 21+5=26
Moving to Node #0,0,0
Current State: 10:[5, 5], Operations: ['89-73=16', '21-16=5']
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[21, 5, 73, 89], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [21, 5, 16]
Generated Node #0,0: 10:[21, 5, 16] Operation: 89-73=16
Moving to Node #0,0
Current State: 10:[21, 5, 16], Operations: ['89-73=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 10:[5, 5] Operation: 21-16=5
Moving to Node #0,0,0
Current State: 10:[5, 5], Operations: ['89-73=16', '21-16=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
sum_heuristic
|
[
24,
96,
22,
64
] | 46
|
[
"96/24=4",
"64-22=42",
"4+42=46"
] |
Current State: 46:[24, 96, 22, 64], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [22, 64, 4]
Generated Node #2: [22, 64, 4] from Operation: 96/24=4
Current State: 46:[22, 64, 4], Operations: ['96/24=4']
Exploring Operation: 64-22=42, Resulting Numbers: [4, 42]
Generated Node #3: [4, 42] from Operation: 64-22=42
Current State: 46:[4, 42], Operations: ['96/24=4', '64-22=42']
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[24, 96, 22, 64], Operations: []
Exploring Operation: 96-22=74, Resulting Numbers: [24, 64, 74]
Generated Node #0,0: 46:[24, 64, 74] Operation: 96-22=74
Exploring Operation: 96/24=4, Resulting Numbers: [22, 64, 4]
Generated Node #0,1: 46:[22, 64, 4] Operation: 96/24=4
Exploring Operation: 96-24=72, Resulting Numbers: [22, 64, 72]
Generated Node #0,2: 46:[22, 64, 72] Operation: 96-24=72
Exploring Operation: 96-64=32, Resulting Numbers: [24, 22, 32]
Generated Node #0,3: 46:[24, 22, 32] Operation: 96-64=32
Moving to Node #0,3
Current State: 46:[24, 22, 32], Operations: ['96-64=32']
Exploring Operation: 24-22=2, Resulting Numbers: [32, 2]
Generated Node #0,3,0: 46:[32, 2] Operation: 24-22=2
Exploring Operation: 32-24=8, Resulting Numbers: [22, 8]
Generated Node #0,3,1: 46:[22, 8] Operation: 32-24=8
Exploring Operation: 22+32=54, Resulting Numbers: [24, 54]
Generated Node #0,3,2: 46:[24, 54] Operation: 22+32=54
Exploring Operation: 24+22=46, Resulting Numbers: [32, 46]
Generated Node #0,3,3: 46:[32, 46] Operation: 24+22=46
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 46:[22, 8], Operations: ['96-64=32', '32-24=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,46 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:[32, 2], Operations: ['96-64=32', '24-22=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,46 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,46 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,46 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:[24, 54], Operations: ['96-64=32', '22+32=54']
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,46 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[32, 46], Operations: ['96-64=32', '24+22=46']
Exploring Operation: 32*46=1472, Resulting Numbers: [1472]
1472,46 unequal: No Solution
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 32+46=78, Resulting Numbers: [78]
78,46 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: 46:[22, 64, 4], Operations: ['96/24=4']
Exploring Operation: 64/4=16, Resulting Numbers: [22, 16]
Generated Node #0,1,0: 46:[22, 16] Operation: 64/4=16
Exploring Operation: 22+4=26, Resulting Numbers: [64, 26]
Generated Node #0,1,1: 46:[64, 26] Operation: 22+4=26
Exploring Operation: 64-22=42, Resulting Numbers: [4, 42]
Generated Node #0,1,2: 46:[4, 42] Operation: 64-22=42
Exploring Operation: 64-4=60, Resulting Numbers: [22, 60]
Generated Node #0,1,3: 46:[22, 60] Operation: 64-4=60
Moving to Node #0,2
Current State: 46:[22, 64, 72], Operations: ['96-24=72']
Exploring Operation: 72-64=8, Resulting Numbers: [22, 8]
Generated Node #0,2,0: 46:[22, 8] Operation: 72-64=8
Exploring Operation: 22+64=86, Resulting Numbers: [72, 86]
Generated Node #0,2,1: 46:[72, 86] Operation: 22+64=86
Exploring Operation: 72-22=50, Resulting Numbers: [64, 50]
Generated Node #0,2,2: 46:[64, 50] Operation: 72-22=50
Exploring Operation: 64-22=42, Resulting Numbers: [72, 42]
Generated Node #0,2,3: 46:[72, 42] Operation: 64-22=42
Moving to Node #0,0
Current State: 46:[24, 64, 74], Operations: ['96-22=74']
Exploring Operation: 64-24=40, Resulting Numbers: [74, 40]
Generated Node #0,0,0: 46:[74, 40] Operation: 64-24=40
Exploring Operation: 74-24=50, Resulting Numbers: [64, 50]
Generated Node #0,0,1: 46:[64, 50] Operation: 74-24=50
Exploring Operation: 24+64=88, Resulting Numbers: [74, 88]
Generated Node #0,0,2: 46:[74, 88] Operation: 24+64=88
Exploring Operation: 74-64=10, Resulting Numbers: [24, 10]
Generated Node #0,0,3: 46:[24, 10] Operation: 74-64=10
Moving to Node #0,1,2
Current State: 46:[4, 42], Operations: ['96/24=4', '64-22=42']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,46 unequal: No Solution
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[24, 96, 22, 64], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [22, 64, 4]
Generated Node #0,1: 46:[22, 64, 4] Operation: 96/24=4
Moving to Node #0,1
Current State: 46:[22, 64, 4], Operations: ['96/24=4']
Exploring Operation: 64-22=42, Resulting Numbers: [4, 42]
Generated Node #0,1,2: 46:[4, 42] Operation: 64-22=42
Moving to Node #0,1,2
Current State: 46:[4, 42], Operations: ['96/24=4', '64-22=42']
Exploring Operation: 4+42=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.966146
|
hs_4
|
sum_heuristic
|
[
17,
69,
88,
17
] | 53
|
[
"69-17=52",
"88+17=105",
"105-52=53"
] |
Current State: 53:[17, 69, 88, 17], Operations: []
Exploring Operation: 69-17=52, Resulting Numbers: [88, 52]
Generated Node #2: [88, 52] from Operation: 69-17=52
Current State: 53:[88, 52], Operations: ['69-17=52']
Exploring Operation: 88+17=105, Resulting Numbers: [52, 105]
Generated Node #3: [52, 105] from Operation: 88+17=105
Current State: 53:[52, 105], Operations: ['69-17=52', '88+17=105']
Exploring Operation: 105-52=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[17, 69, 88, 17], Operations: []
Exploring Operation: 88-17=71, Resulting Numbers: [69, 17, 71]
Generated Node #0,0: 53:[69, 17, 71] Operation: 88-17=71
Exploring Operation: 17+17=34, Resulting Numbers: [69, 88, 34]
Generated Node #0,1: 53:[69, 88, 34] Operation: 17+17=34
Exploring Operation: 69-17=52, Resulting Numbers: [88, 17, 52]
Generated Node #0,2: 53:[88, 17, 52] Operation: 69-17=52
Exploring Operation: 88-17=71, Resulting Numbers: [17, 69, 71]
Generated Node #0,3: 53:[17, 69, 71] Operation: 88-17=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[69, 17, 71], Operations: ['88-17=71']
Exploring Operation: 69-17=52, Resulting Numbers: [71, 52]
Generated Node #0,0,0: 53:[71, 52] Operation: 69-17=52
Exploring Operation: 69+17=86, Resulting Numbers: [71, 86]
Generated Node #0,0,1: 53:[71, 86] Operation: 69+17=86
Exploring Operation: 17+71=88, Resulting Numbers: [69, 88]
Generated Node #0,0,2: 53:[69, 88] Operation: 17+71=88
Exploring Operation: 71-17=54, Resulting Numbers: [69, 54]
Generated Node #0,0,3: 53:[69, 54] Operation: 71-17=54
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 53:[69, 54], Operations: ['88-17=71', '71-17=54']
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,53 unequal: No Solution
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[71, 52], Operations: ['88-17=71', '69-17=52']
Exploring Operation: 71+52=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 71*52=3692, Resulting Numbers: [3692]
3692,53 unequal: No Solution
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[71, 86], Operations: ['88-17=71', '69+17=86']
Exploring Operation: 86-71=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 71*86=6106, Resulting Numbers: [6106]
6106,53 unequal: No Solution
Exploring Operation: 71+86=157, Resulting Numbers: [157]
157,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[69, 88], Operations: ['88-17=71', '17+71=88']
Exploring Operation: 69*88=6072, Resulting Numbers: [6072]
6072,53 unequal: No Solution
Exploring Operation: 69+88=157, Resulting Numbers: [157]
157,53 unequal: No Solution
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[69, 88, 34], Operations: ['17+17=34']
Exploring Operation: 88-69=19, Resulting Numbers: [34, 19]
Generated Node #0,1,0: 53:[34, 19] Operation: 88-69=19
Exploring Operation: 69-34=35, Resulting Numbers: [88, 35]
Generated Node #0,1,1: 53:[88, 35] Operation: 69-34=35
Exploring Operation: 69+34=103, Resulting Numbers: [88, 103]
Generated Node #0,1,2: 53:[88, 103] Operation: 69+34=103
Exploring Operation: 88-34=54, Resulting Numbers: [69, 54]
Generated Node #0,1,3: 53:[69, 54] Operation: 88-34=54
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 53:[69, 54], Operations: ['17+17=34', '88-34=54']
Exploring Operation: 69+54=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 69*54=3726, Resulting Numbers: [3726]
3726,53 unequal: No Solution
Exploring Operation: 69-54=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[34, 19], Operations: ['17+17=34', '88-69=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[17, 69, 88, 17], Operations: []
Exploring Operation: 17+17=34, Resulting Numbers: [69, 88, 34]
Generated Node #0,1: 53:[69, 88, 34] Operation: 17+17=34
Moving to Node #0,1
Current State: 53:[69, 88, 34], Operations: ['17+17=34']
Exploring Operation: 88-69=19, Resulting Numbers: [34, 19]
Generated Node #0,1,0: 53:[34, 19] Operation: 88-69=19
Moving to Node #0,1,0
Current State: 53:[34, 19], Operations: ['17+17=34', '88-69=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222
|
hs_4
|
sum_heuristic
|
[
62,
31,
81,
80
] | 30
|
[
"62-31=31",
"81-80=1",
"31-1=30"
] |
Current State: 30:[62, 31, 81, 80], Operations: []
Exploring Operation: 62-31=31, Resulting Numbers: [81, 80, 31]
Generated Node #2: [81, 80, 31] from Operation: 62-31=31
Current State: 30:[81, 80, 31], Operations: ['62-31=31']
Exploring Operation: 81-80=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 81-80=1
Current State: 30:[31, 1], Operations: ['62-31=31', '81-80=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[62, 31, 81, 80], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [62, 31, 1]
Generated Node #0,0: 30:[62, 31, 1] Operation: 81-80=1
Exploring Operation: 81-62=19, Resulting Numbers: [31, 80, 19]
Generated Node #0,1: 30:[31, 80, 19] Operation: 81-62=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[62, 31, 1], Operations: ['81-80=1']
Exploring Operation: 62-31=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 30:[1, 31] Operation: 62-31=31
Exploring Operation: 62/31=2, Resulting Numbers: [1, 2]
Generated Node #0,0,1: 30:[1, 2] Operation: 62/31=2
Moving to Node #0,0,1
Current State: 30:[1, 2], Operations: ['81-80=1', '62/31=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[1, 31], Operations: ['81-80=1', '62-31=31']
Exploring Operation: 1*31=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[62, 31, 81, 80], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [62, 31, 1]
Generated Node #0,0: 30:[62, 31, 1] Operation: 81-80=1
Moving to Node #0,0
Current State: 30:[62, 31, 1], Operations: ['81-80=1']
Exploring Operation: 62-31=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 30:[1, 31] Operation: 62-31=31
Moving to Node #0,0,0
Current State: 30:[1, 31], Operations: ['81-80=1', '62-31=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
sum_heuristic
|
[
45,
2,
79,
77
] | 45
|
[
"45+2=47",
"79-77=2",
"47-2=45"
] |
Current State: 45:[45, 2, 79, 77], Operations: []
Exploring Operation: 45+2=47, Resulting Numbers: [79, 77, 47]
Generated Node #2: [79, 77, 47] from Operation: 45+2=47
Current State: 45:[79, 77, 47], Operations: ['45+2=47']
Exploring Operation: 79-77=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 79-77=2
Current State: 45:[47, 2], Operations: ['45+2=47', '79-77=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[45, 2, 79, 77], Operations: []
Exploring Operation: 79-45=34, Resulting Numbers: [2, 77, 34]
Generated Node #0,0: 45:[2, 77, 34] Operation: 79-45=34
Exploring Operation: 77-45=32, Resulting Numbers: [2, 79, 32]
Generated Node #0,1: 45:[2, 79, 32] Operation: 77-45=32
Exploring Operation: 79-77=2, Resulting Numbers: [45, 2, 2]
Generated Node #0,2: 45:[45, 2, 2] Operation: 79-77=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[45, 2, 2], Operations: ['79-77=2']
Exploring Operation: 2+2=4, Resulting Numbers: [45, 4]
Generated Node #0,2,0: 45:[45, 4] Operation: 2+2=4
Exploring Operation: 2/2=1, Resulting Numbers: [45, 1]
Generated Node #0,2,1: 45:[45, 1] Operation: 2/2=1
Exploring Operation: 2*2=4, Resulting Numbers: [45, 4]
Generated Node #0,2,2: 45:[45, 4] Operation: 2*2=4
Moving to Node #0,2,0
Current State: 45:[45, 4], Operations: ['79-77=2', '2+2=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,45 unequal: No Solution
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,45 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[45, 4], Operations: ['79-77=2', '2*2=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,45 unequal: No Solution
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[45, 1], Operations: ['79-77=2', '2/2=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[45, 2, 79, 77], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [45, 2, 2]
Generated Node #0,2: 45:[45, 2, 2] Operation: 79-77=2
Moving to Node #0,2
Current State: 45:[45, 2, 2], Operations: ['79-77=2']
Exploring Operation: 2/2=1, Resulting Numbers: [45, 1]
Generated Node #0,2,1: 45:[45, 1] Operation: 2/2=1
Moving to Node #0,2,1
Current State: 45:[45, 1], Operations: ['79-77=2', '2/2=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_3
|
mult_heuristic
|
[
26,
60,
66,
17
] | 76
|
[
"66-60=6",
"17*6=102",
"102-26=76"
] |
Current State: 76:[26, 60, 66, 17], Operations: []
Exploring Operation: 66-60=6, Resulting Numbers: [26, 17, 6]
Generated Node #2: [26, 17, 6] from Operation: 66-60=6
Current State: 76:[26, 17, 6], Operations: ['66-60=6']
Exploring Operation: 17*6=102, Resulting Numbers: [26, 102]
Generated Node #3: [26, 102] from Operation: 17*6=102
Current State: 76:[26, 102], Operations: ['66-60=6', '17*6=102']
Exploring Operation: 102-26=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[26, 60, 66, 17], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [66, 17, 34]
Generated Node #0,0: 76:[66, 17, 34] Operation: 60-26=34
Exploring Operation: 60+17=77, Resulting Numbers: [26, 66, 77]
Generated Node #0,1: 76:[26, 66, 77] Operation: 60+17=77
Exploring Operation: 66-26=40, Resulting Numbers: [60, 17, 40]
Generated Node #0,2: 76:[60, 17, 40] Operation: 66-26=40
Exploring Operation: 66-60=6, Resulting Numbers: [26, 17, 6]
Generated Node #0,3: 76:[26, 17, 6] Operation: 66-60=6
Exploring Operation: 26+60=86, Resulting Numbers: [66, 17, 86]
Generated Node #0,4: 76:[66, 17, 86] Operation: 26+60=86
Moving to Node #0,3
Current State: 76:[26, 17, 6], Operations: ['66-60=6']
Exploring Operation: 17+6=23, Resulting Numbers: [26, 23]
Generated Node #0,3,0: 76:[26, 23] Operation: 17+6=23
Exploring Operation: 26+6=32, Resulting Numbers: [17, 32]
Generated Node #0,3,1: 76:[17, 32] Operation: 26+6=32
Exploring Operation: 26-6=20, Resulting Numbers: [17, 20]
Generated Node #0,3,2: 76:[17, 20] Operation: 26-6=20
Exploring Operation: 26-17=9, Resulting Numbers: [6, 9]
Generated Node #0,3,3: 76:[6, 9] Operation: 26-17=9
Exploring Operation: 26+17=43, Resulting Numbers: [6, 43]
Generated Node #0,3,4: 76:[6, 43] Operation: 26+17=43
Moving to Node #0,0
Current State: 76:[66, 17, 34], Operations: ['60-26=34']
Exploring Operation: 66-17=49, Resulting Numbers: [34, 49]
Generated Node #0,0,0: 76:[34, 49] Operation: 66-17=49
Exploring Operation: 66-34=32, Resulting Numbers: [17, 32]
Generated Node #0,0,1: 76:[17, 32] Operation: 66-34=32
Exploring Operation: 66+17=83, Resulting Numbers: [34, 83]
Generated Node #0,0,2: 76:[34, 83] Operation: 66+17=83
Exploring Operation: 34/17=2, Resulting Numbers: [66, 2]
Generated Node #0,0,3: 76:[66, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [66, 17]
Generated Node #0,0,4: 76:[66, 17] Operation: 34-17=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[17, 32], Operations: ['60-26=34', '66-34=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[66, 2], Operations: ['60-26=34', '34/17=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,76 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[34, 83], Operations: ['60-26=34', '66+17=83']
Exploring Operation: 34*83=2822, Resulting Numbers: [2822]
2822,76 unequal: No Solution
Exploring Operation: 34+83=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 76:[66, 17], Operations: ['60-26=34', '34-17=17']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 66*17=1122, Resulting Numbers: [1122]
1122,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[34, 49], Operations: ['60-26=34', '66-17=49']
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,76 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,76 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: 76:[26, 66, 77], Operations: ['60+17=77']
Exploring Operation: 26+77=103, Resulting Numbers: [66, 103]
Generated Node #0,1,0: 76:[66, 103] Operation: 26+77=103
Exploring Operation: 66-26=40, Resulting Numbers: [77, 40]
Generated Node #0,1,1: 76:[77, 40] Operation: 66-26=40
Exploring Operation: 77-66=11, Resulting Numbers: [26, 11]
Generated Node #0,1,2: 76:[26, 11] Operation: 77-66=11
Exploring Operation: 77-26=51, Resulting Numbers: [66, 51]
Generated Node #0,1,3: 76:[66, 51] Operation: 77-26=51
Exploring Operation: 26+66=92, Resulting Numbers: [77, 92]
Generated Node #0,1,4: 76:[77, 92] Operation: 26+66=92
Moving to Node #0,2
Current State: 76:[60, 17, 40], Operations: ['66-26=40']
Exploring Operation: 60+40=100, Resulting Numbers: [17, 100]
Generated Node #0,2,0: 76:[17, 100] Operation: 60+40=100
Exploring Operation: 60+17=77, Resulting Numbers: [40, 77]
Generated Node #0,2,1: 76:[40, 77] Operation: 60+17=77
Exploring Operation: 60-40=20, Resulting Numbers: [17, 20]
Generated Node #0,2,2: 76:[17, 20] Operation: 60-40=20
Exploring Operation: 60-17=43, Resulting Numbers: [40, 43]
Generated Node #0,2,3: 76:[40, 43] Operation: 60-17=43
Exploring Operation: 40-17=23, Resulting Numbers: [60, 23]
Generated Node #0,2,4: 76:[60, 23] Operation: 40-17=23
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[40, 77], Operations: ['66-26=40', '60+17=77']
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,76 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[17, 20], Operations: ['66-26=40', '60-40=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[40, 43], Operations: ['66-26=40', '60-17=43']
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 40+43=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 40*43=1720, Resulting Numbers: [1720]
1720,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 76:[60, 23], Operations: ['66-26=40', '40-17=23']
Exploring Operation: 60-23=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 60*23=1380, Resulting Numbers: [1380]
1380,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 76:[17, 100], Operations: ['66-26=40', '60+40=100']
Exploring Operation: 17*100=1700, Resulting Numbers: [1700]
1700,76 unequal: No Solution
Exploring Operation: 17+100=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 100-17=83, Resulting Numbers: [83]
83,76 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: 76:[66, 17, 86], Operations: ['26+60=86']
Exploring Operation: 66+17=83, Resulting Numbers: [86, 83]
Generated Node #0,4,0: 76:[86, 83] Operation: 66+17=83
Exploring Operation: 86-66=20, Resulting Numbers: [17, 20]
Generated Node #0,4,1: 76:[17, 20] Operation: 86-66=20
Exploring Operation: 17+86=103, Resulting Numbers: [66, 103]
Generated Node #0,4,2: 76:[66, 103] Operation: 17+86=103
Exploring Operation: 66-17=49, Resulting Numbers: [86, 49]
Generated Node #0,4,3: 76:[86, 49] Operation: 66-17=49
Exploring Operation: 86-17=69, Resulting Numbers: [66, 69]
Generated Node #0,4,4: 76:[66, 69] Operation: 86-17=69
Moving to Node #0,3,2
Current State: 76:[17, 20], Operations: ['66-60=6', '26-6=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,76 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[77, 40], Operations: ['60+17=77', '66-26=40']
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,76 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Moving to Node #0,4,1
Current State: 76:[17, 20], Operations: ['26+60=86', '86-66=20']
Exploring Operation: 17*20=340, Resulting Numbers: [340]
340,76 unequal: No Solution
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Moving to Node #0,3,4
Current State: 76:[6, 43], Operations: ['66-60=6', '26+17=43']
Exploring Operation: 6*43=258, Resulting Numbers: [258]
258,76 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[6, 9], Operations: ['66-60=6', '26-17=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[17, 32], Operations: ['66-60=6', '26+6=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[26, 23], Operations: ['66-60=6', '17+6=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,76 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[26, 11], Operations: ['60+17=77', '77-66=11']
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,76 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Moving to Node #0,4,4
Current State: 76:[66, 69], Operations: ['26+60=86', '86-17=69']
Exploring Operation: 66+69=135, Resulting Numbers: [135]
135,76 unequal: No Solution
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 66*69=4554, Resulting Numbers: [4554]
4554,76 unequal: No Solution
Moving to Node #0,1,4
Current State: 76:[77, 92], Operations: ['60+17=77', '26+66=92']
Exploring Operation: 92-77=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 77+92=169, Resulting Numbers: [169]
169,76 unequal: No Solution
Exploring Operation: 77*92=7084, Resulting Numbers: [7084]
7084,76 unequal: No Solution
Moving to Node #0,4,0
Current State: 76:[86, 83], Operations: ['26+60=86', '66+17=83']
Exploring Operation: 86-83=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 86*83=7138, Resulting Numbers: [7138]
7138,76 unequal: No Solution
Exploring Operation: 86+83=169, Resulting Numbers: [169]
169,76 unequal: No Solution
Moving to Node #0,4,3
Current State: 76:[86, 49], Operations: ['26+60=86', '66-17=49']
Exploring Operation: 86*49=4214, Resulting Numbers: [4214]
4214,76 unequal: No Solution
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 86+49=135, Resulting Numbers: [135]
135,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[66, 51], Operations: ['60+17=77', '77-26=51']
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,76 unequal: No Solution
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Moving to Node #0,4,2
Current State: 76:[66, 103], Operations: ['26+60=86', '17+86=103']
Exploring Operation: 103-66=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 66*103=6798, Resulting Numbers: [6798]
6798,76 unequal: No Solution
Exploring Operation: 66+103=169, Resulting Numbers: [169]
169,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[66, 103], Operations: ['60+17=77', '26+77=103']
Exploring Operation: 66*103=6798, Resulting Numbers: [6798]
6798,76 unequal: No Solution
Exploring Operation: 66+103=169, Resulting Numbers: [169]
169,76 unequal: No Solution
Exploring Operation: 103-66=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
84,
56,
35,
8
] | 32
|
[
"84+56=140",
"140/35=4",
"8*4=32"
] |
Current State: 32:[84, 56, 35, 8], Operations: []
Exploring Operation: 84+56=140, Resulting Numbers: [35, 8, 140]
Generated Node #2: [35, 8, 140] from Operation: 84+56=140
Current State: 32:[35, 8, 140], Operations: ['84+56=140']
Exploring Operation: 140/35=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 140/35=4
Current State: 32:[8, 4], Operations: ['84+56=140', '140/35=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
Current State: 32:[84, 56, 35, 8], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [35, 8, 28]
Generated Node #0,0: 32:[35, 8, 28] Operation: 84-56=28
Exploring Operation: 56/8=7, Resulting Numbers: [84, 35, 7]
Generated Node #0,1: 32:[84, 35, 7] Operation: 56/8=7
Exploring Operation: 84-35=49, Resulting Numbers: [56, 8, 49]
Generated Node #0,2: 32:[56, 8, 49] Operation: 84-35=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[35, 8, 28], Operations: ['84-56=28']
Exploring Operation: 8+28=36, Resulting Numbers: [35, 36]
Generated Node #0,0,0: 32:[35, 36] Operation: 8+28=36
Exploring Operation: 35-28=7, Resulting Numbers: [8, 7]
Generated Node #0,0,1: 32:[8, 7] Operation: 35-28=7
Exploring Operation: 28-8=20, Resulting Numbers: [35, 20]
Generated Node #0,0,2: 32:[35, 20] Operation: 28-8=20
Moving to Node #0,0,1
Current State: 32:[8, 7], Operations: ['84-56=28', '35-28=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[35, 36], Operations: ['84-56=28', '8+28=36']
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,32 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[35, 20], Operations: ['84-56=28', '28-8=20']
Exploring Operation: 35+20=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Exploring Operation: 35*20=700, Resulting Numbers: [700]
700,32 unequal: No Solution
Exploring Operation: 35-20=15, Resulting Numbers: [15]
15,32 unequal: No Solution
No 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: 32:[56, 8, 49], Operations: ['84-35=49']
Exploring Operation: 56/8=7, Resulting Numbers: [49, 7]
Generated Node #0,2,0: 32:[49, 7] Operation: 56/8=7
Exploring Operation: 56-8=48, Resulting Numbers: [49, 48]
Generated Node #0,2,1: 32:[49, 48] Operation: 56-8=48
Exploring Operation: 56-49=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 32:[8, 7] Operation: 56-49=7
Moving to Node #0,2,2
Current State: 32:[8, 7], Operations: ['84-35=49', '56-49=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[49, 7], Operations: ['84-35=49', '56/8=7']
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[49, 48], Operations: ['84-35=49', '56-8=48']
Exploring Operation: 49*48=2352, Resulting Numbers: [2352]
2352,32 unequal: No Solution
Exploring Operation: 49-48=1, Resulting Numbers: [1]
1,32 unequal: No Solution
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,32 unequal: No Solution
No 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: 32:[84, 35, 7], Operations: ['56/8=7']
Exploring Operation: 84-7=77, Resulting Numbers: [35, 77]
Generated Node #0,1,0: 32:[35, 77] Operation: 84-7=77
Exploring Operation: 84-35=49, Resulting Numbers: [7, 49]
Generated Node #0,1,1: 32:[7, 49] Operation: 84-35=49
Exploring Operation: 84/7=12, Resulting Numbers: [35, 12]
Generated Node #0,1,2: 32:[35, 12] Operation: 84/7=12
Moving to Node #0,1,2
Current State: 32:[35, 12], Operations: ['56/8=7', '84/7=12']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,32 unequal: No Solution
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[7, 49], Operations: ['56/8=7', '84-35=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[35, 77], Operations: ['56/8=7', '84-7=77']
Exploring Operation: 35+77=112, Resulting Numbers: [112]
112,32 unequal: No Solution
Exploring Operation: 35*77=2695, Resulting Numbers: [2695]
2695,32 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,32 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
|
[
64,
14,
96,
71
] | 50
|
[
"14*96=1344",
"1344/64=21",
"71-21=50"
] |
Current State: 50:[64, 14, 96, 71], Operations: []
Exploring Operation: 14*96=1344, Resulting Numbers: [64, 71, 1344]
Generated Node #2: [64, 71, 1344] from Operation: 14*96=1344
Current State: 50:[64, 71, 1344], Operations: ['14*96=1344']
Exploring Operation: 1344/64=21, Resulting Numbers: [71, 21]
Generated Node #3: [71, 21] from Operation: 1344/64=21
Current State: 50:[71, 21], Operations: ['14*96=1344', '1344/64=21']
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[64, 14, 96, 71], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [64, 14, 25]
Generated Node #0,0: 50:[64, 14, 25] Operation: 96-71=25
Exploring Operation: 96-64=32, Resulting Numbers: [14, 71, 32]
Generated Node #0,1: 50:[14, 71, 32] Operation: 96-64=32
Moving to Node #0,0
Current State: 50:[64, 14, 25], Operations: ['96-71=25']
Exploring Operation: 64-14=50, Resulting Numbers: [25, 50]
Generated Node #0,0,0: 50:[25, 50] Operation: 64-14=50
Exploring Operation: 64-25=39, Resulting Numbers: [14, 39]
Generated Node #0,0,1: 50:[14, 39] Operation: 64-25=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[25, 50], Operations: ['96-71=25', '64-14=50']
Exploring Operation: 50/25=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 50-25=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[14, 39], Operations: ['96-71=25', '64-25=39']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 14+39=53, Resulting Numbers: [53]
53,50 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:[14, 71, 32], Operations: ['96-64=32']
Exploring Operation: 71-32=39, Resulting Numbers: [14, 39]
Generated Node #0,1,0: 50:[14, 39] Operation: 71-32=39
Exploring Operation: 71-14=57, Resulting Numbers: [32, 57]
Generated Node #0,1,1: 50:[32, 57] Operation: 71-14=57
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[32, 57], Operations: ['96-64=32', '71-14=57']
Exploring Operation: 32+57=89, Resulting Numbers: [89]
89,50 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,50 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:[14, 39], Operations: ['96-64=32', '71-32=39']
Exploring Operation: 14+39=53, Resulting Numbers: [53]
53,50 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
78,
20,
4,
28
] | 82
|
[
"78-20=58",
"28-4=24",
"58+24=82"
] |
Current State: 82:[78, 20, 4, 28], Operations: []
Exploring Operation: 78-20=58, Resulting Numbers: [4, 28, 58]
Generated Node #2: [4, 28, 58] from Operation: 78-20=58
Current State: 82:[4, 28, 58], Operations: ['78-20=58']
Exploring Operation: 28-4=24, Resulting Numbers: [58, 24]
Generated Node #3: [58, 24] from Operation: 28-4=24
Current State: 82:[58, 24], Operations: ['78-20=58', '28-4=24']
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[78, 20, 4, 28], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [78, 4, 8]
Generated Node #0,0: 82:[78, 4, 8] Operation: 28-20=8
Exploring Operation: 20/4=5, Resulting Numbers: [78, 28, 5]
Generated Node #0,1: 82:[78, 28, 5] Operation: 20/4=5
Exploring Operation: 20+28=48, Resulting Numbers: [78, 4, 48]
Generated Node #0,2: 82:[78, 4, 48] Operation: 20+28=48
Exploring Operation: 20*4=80, Resulting Numbers: [78, 28, 80]
Generated Node #0,3: 82:[78, 28, 80] Operation: 20*4=80
Moving to Node #0,0
Current State: 82:[78, 4, 8], Operations: ['28-20=8']
Exploring Operation: 8-4=4, Resulting Numbers: [78, 4]
Generated Node #0,0,0: 82:[78, 4] Operation: 8-4=4
Exploring Operation: 78+8=86, Resulting Numbers: [4, 86]
Generated Node #0,0,1: 82:[4, 86] Operation: 78+8=86
Exploring Operation: 8/4=2, Resulting Numbers: [78, 2]
Generated Node #0,0,2: 82:[78, 2] Operation: 8/4=2
Exploring Operation: 78+4=82, Resulting Numbers: [8, 82]
Generated Node #0,0,3: 82:[8, 82] Operation: 78+4=82
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[78, 2], Operations: ['28-20=8', '8/4=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,82 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,82 unequal: No Solution
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[78, 4], Operations: ['28-20=8', '8-4=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 78*4=312, Resulting Numbers: [312]
312,82 unequal: No Solution
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[78, 20, 4, 28], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [78, 4, 8]
Generated Node #0,0: 82:[78, 4, 8] Operation: 28-20=8
Moving to Node #0,0
Current State: 82:[78, 4, 8], Operations: ['28-20=8']
Exploring Operation: 8-4=4, Resulting Numbers: [78, 4]
Generated Node #0,0,0: 82:[78, 4] Operation: 8-4=4
Moving to Node #0,0,0
Current State: 82:[78, 4], Operations: ['28-20=8', '8-4=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507
|
hs_4
|
mult_heuristic
|
[
26,
71,
4,
22
] | 43
|
[
"71-26=45",
"4*22=88",
"88-45=43"
] |
Current State: 43:[26, 71, 4, 22], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [4, 22, 45]
Generated Node #2: [4, 22, 45] from Operation: 71-26=45
Current State: 43:[4, 22, 45], Operations: ['71-26=45']
Exploring Operation: 4*22=88, Resulting Numbers: [45, 88]
Generated Node #3: [45, 88] from Operation: 4*22=88
Current State: 43:[45, 88], Operations: ['71-26=45', '4*22=88']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[26, 71, 4, 22], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [4, 22, 45]
Generated Node #0,0: 43:[4, 22, 45] Operation: 71-26=45
Exploring Operation: 4+22=26, Resulting Numbers: [26, 71, 26]
Generated Node #0,1: 43:[26, 71, 26] Operation: 4+22=26
Exploring Operation: 71-22=49, Resulting Numbers: [26, 4, 49]
Generated Node #0,2: 43:[26, 4, 49] Operation: 71-22=49
Exploring Operation: 71-4=67, Resulting Numbers: [26, 22, 67]
Generated Node #0,3: 43:[26, 22, 67] Operation: 71-4=67
Exploring Operation: 26+4=30, Resulting Numbers: [71, 22, 30]
Generated Node #0,4: 43:[71, 22, 30] Operation: 26+4=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[4, 22, 45], Operations: ['71-26=45']
Exploring Operation: 45-4=41, Resulting Numbers: [22, 41]
Generated Node #0,0,0: 43:[22, 41] Operation: 45-4=41
Exploring Operation: 4+45=49, Resulting Numbers: [22, 49]
Generated Node #0,0,1: 43:[22, 49] Operation: 4+45=49
Exploring Operation: 4+22=26, Resulting Numbers: [45, 26]
Generated Node #0,0,2: 43:[45, 26] Operation: 4+22=26
Exploring Operation: 4*22=88, Resulting Numbers: [45, 88]
Generated Node #0,0,3: 43:[45, 88] Operation: 4*22=88
Exploring Operation: 22-4=18, Resulting Numbers: [45, 18]
Generated Node #0,0,4: 43:[45, 18] Operation: 22-4=18
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 43:[45, 26], Operations: ['71-26=45', '4+22=26']
Exploring Operation: 45+26=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 45*26=1170, Resulting Numbers: [1170]
1170,43 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,43 unequal: No Solution
No 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: 43:[22, 41], Operations: ['71-26=45', '45-4=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,43 unequal: No Solution
Exploring Operation: 22*41=902, Resulting Numbers: [902]
902,43 unequal: No Solution
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,43 unequal: No Solution
No 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: 43:[22, 49], Operations: ['71-26=45', '4+45=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 22+49=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 22*49=1078, Resulting Numbers: [1078]
1078,43 unequal: No Solution
No 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: 43:[45, 18], Operations: ['71-26=45', '22-4=18']
Exploring Operation: 45+18=63, Resulting Numbers: [63]
63,43 unequal: No Solution
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 45*18=810, Resulting Numbers: [810]
810,43 unequal: No Solution
No 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: 43:[45, 88], Operations: ['71-26=45', '4*22=88']
Exploring Operation: 45*88=3960, Resulting Numbers: [3960]
3960,43 unequal: No Solution
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[26, 71, 4, 22], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [4, 22, 45]
Generated Node #0,0: 43:[4, 22, 45] Operation: 71-26=45
Moving to Node #0,0
Current State: 43:[4, 22, 45], Operations: ['71-26=45']
Exploring Operation: 4*22=88, Resulting Numbers: [45, 88]
Generated Node #0,0,3: 43:[45, 88] Operation: 4*22=88
Moving to Node #0,0,3
Current State: 43:[45, 88], Operations: ['71-26=45', '4*22=88']
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694
|
hs_5
|
mult_heuristic
|
[
70,
70,
8,
48
] | 48
|
[
"70-70=0",
"8*0=0",
"48+0=48"
] |
Current State: 48:[70, 70, 8, 48], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [8, 48, 0]
Generated Node #2: [8, 48, 0] from Operation: 70-70=0
Current State: 48:[8, 48, 0], Operations: ['70-70=0']
Exploring Operation: 8*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 8*0=0
Current State: 48:[48, 0], Operations: ['70-70=0', '8*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[70, 70, 8, 48], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [70, 8, 22]
Generated Node #0,0: 48:[70, 8, 22] Operation: 70-48=22
Exploring Operation: 70-70=0, Resulting Numbers: [8, 48, 0]
Generated Node #0,1: 48:[8, 48, 0] Operation: 70-70=0
Exploring Operation: 70/70=1, Resulting Numbers: [8, 48, 1]
Generated Node #0,2: 48:[8, 48, 1] Operation: 70/70=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[8, 48, 1], Operations: ['70/70=1']
Exploring Operation: 48*1=48, Resulting Numbers: [8, 48]
Generated Node #0,2,0: 48:[8, 48] Operation: 48*1=48
Exploring Operation: 8*1=8, Resulting Numbers: [48, 8]
Generated Node #0,2,1: 48:[48, 8] Operation: 8*1=8
Exploring Operation: 8/1=8, Resulting Numbers: [48, 8]
Generated Node #0,2,2: 48:[48, 8] Operation: 8/1=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[8, 48], Operations: ['70/70=1', '48*1=48']
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
No 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: 48:[48, 8], Operations: ['70/70=1', '8*1=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
No 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: 48:[48, 8], Operations: ['70/70=1', '8/1=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,48 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: 48:[8, 48, 0], Operations: ['70-70=0']
Exploring Operation: 8+0=8, Resulting Numbers: [48, 8]
Generated Node #0,1,0: 48:[48, 8] Operation: 8+0=8
Exploring Operation: 8-0=8, Resulting Numbers: [48, 8]
Generated Node #0,1,1: 48:[48, 8] Operation: 8-0=8
Exploring Operation: 48+0=48, Resulting Numbers: [8, 48]
Generated Node #0,1,2: 48:[8, 48] Operation: 48+0=48
Moving to Node #0,1,0
Current State: 48:[48, 8], Operations: ['70-70=0', '8+0=8']
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[48, 8], Operations: ['70-70=0', '8-0=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[8, 48], Operations: ['70-70=0', '48+0=48']
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[70, 8, 22], Operations: ['70-48=22']
Exploring Operation: 70-8=62, Resulting Numbers: [22, 62]
Generated Node #0,0,0: 48:[22, 62] Operation: 70-8=62
Exploring Operation: 70-22=48, Resulting Numbers: [8, 48]
Generated Node #0,0,1: 48:[8, 48] Operation: 70-22=48
Exploring Operation: 22-8=14, Resulting Numbers: [70, 14]
Generated Node #0,0,2: 48:[70, 14] Operation: 22-8=14
Moving to Node #0,0,1
Current State: 48:[8, 48], Operations: ['70-48=22', '70-22=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[22, 62], Operations: ['70-48=22', '70-8=62']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Exploring Operation: 22*62=1364, Resulting Numbers: [1364]
1364,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[70, 14], Operations: ['70-48=22', '22-8=14']
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 70+14=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
98,
58,
10,
27
] | 77
|
[
"98-58=40",
"10+27=37",
"40+37=77"
] |
Current State: 77:[98, 58, 10, 27], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [10, 27, 40]
Generated Node #2: [10, 27, 40] from Operation: 98-58=40
Current State: 77:[10, 27, 40], Operations: ['98-58=40']
Exploring Operation: 10+27=37, Resulting Numbers: [40, 37]
Generated Node #3: [40, 37] from Operation: 10+27=37
Current State: 77:[40, 37], Operations: ['98-58=40', '10+27=37']
Exploring Operation: 40+37=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[98, 58, 10, 27], Operations: []
Exploring Operation: 98-27=71, Resulting Numbers: [58, 10, 71]
Generated Node #0,0: 77:[58, 10, 71] Operation: 98-27=71
Exploring Operation: 58+27=85, Resulting Numbers: [98, 10, 85]
Generated Node #0,1: 77:[98, 10, 85] Operation: 58+27=85
Moving to Node #0,0
Current State: 77:[58, 10, 71], Operations: ['98-27=71']
Exploring Operation: 71-58=13, Resulting Numbers: [10, 13]
Generated Node #0,0,0: 77:[10, 13] Operation: 71-58=13
Exploring Operation: 58+10=68, Resulting Numbers: [71, 68]
Generated Node #0,0,1: 77:[71, 68] Operation: 58+10=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[10, 13], Operations: ['98-27=71', '71-58=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[71, 68], Operations: ['98-27=71', '58+10=68']
Exploring Operation: 71+68=139, Resulting Numbers: [139]
139,77 unequal: No Solution
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,77 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: 77:[98, 10, 85], Operations: ['58+27=85']
Exploring Operation: 98-85=13, Resulting Numbers: [10, 13]
Generated Node #0,1,0: 77:[10, 13] Operation: 98-85=13
Exploring Operation: 98-10=88, Resulting Numbers: [85, 88]
Generated Node #0,1,1: 77:[85, 88] Operation: 98-10=88
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[10, 13], Operations: ['58+27=85', '98-85=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,77 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[85, 88], Operations: ['58+27=85', '98-10=88']
Exploring Operation: 88-85=3, Resulting Numbers: [3]
3,77 unequal: No Solution
Exploring Operation: 85+88=173, Resulting Numbers: [173]
173,77 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
|
[
9,
11,
50,
10
] | 94
|
[
"9*11=99",
"50/10=5",
"99-5=94"
] |
Current State: 94:[9, 11, 50, 10], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [50, 10, 99]
Generated Node #2: [50, 10, 99] from Operation: 9*11=99
Current State: 94:[50, 10, 99], Operations: ['9*11=99']
Exploring Operation: 50/10=5, Resulting Numbers: [99, 5]
Generated Node #3: [99, 5] from Operation: 50/10=5
Current State: 94:[99, 5], Operations: ['9*11=99', '50/10=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4
|
Current State: 94:[9, 11, 50, 10], Operations: []
Exploring Operation: 10-9=1, Resulting Numbers: [11, 50, 1]
Generated Node #0,0: 94:[11, 50, 1] Operation: 10-9=1
Exploring Operation: 11-9=2, Resulting Numbers: [50, 10, 2]
Generated Node #0,1: 94:[50, 10, 2] Operation: 11-9=2
Exploring Operation: 11-10=1, Resulting Numbers: [9, 50, 1]
Generated Node #0,2: 94:[9, 50, 1] Operation: 11-10=1
Exploring Operation: 9*11=99, Resulting Numbers: [50, 10, 99]
Generated Node #0,3: 94:[50, 10, 99] Operation: 9*11=99
Moving to Node #0,1
Current State: 94:[50, 10, 2], Operations: ['11-9=2']
Exploring Operation: 50-2=48, Resulting Numbers: [10, 48]
Generated Node #0,1,0: 94:[10, 48] Operation: 50-2=48
Exploring Operation: 50-10=40, Resulting Numbers: [2, 40]
Generated Node #0,1,1: 94:[2, 40] Operation: 50-10=40
Exploring Operation: 50/10=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 94:[2, 5] Operation: 50/10=5
Exploring Operation: 10/2=5, Resulting Numbers: [50, 5]
Generated Node #0,1,3: 94:[50, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[2, 5], Operations: ['11-9=2', '50/10=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,94 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 #0,1,3
Current State: 94:[50, 5], Operations: ['11-9=2', '10/2=5']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 50*5=250, Resulting Numbers: [250]
250,94 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,94 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 #0,1,1
Current State: 94:[2, 40], Operations: ['11-9=2', '50-10=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,94 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 #0,1,0
Current State: 94:[10, 48], Operations: ['11-9=2', '50-2=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,94 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,94 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: 94:[9, 50, 1], Operations: ['11-10=1']
Exploring Operation: 9*1=9, Resulting Numbers: [50, 9]
Generated Node #0,2,0: 94:[50, 9] Operation: 9*1=9
Exploring Operation: 50-1=49, Resulting Numbers: [9, 49]
Generated Node #0,2,1: 94:[9, 49] Operation: 50-1=49
Exploring Operation: 50-9=41, Resulting Numbers: [1, 41]
Generated Node #0,2,2: 94:[1, 41] Operation: 50-9=41
Exploring Operation: 9-1=8, Resulting Numbers: [50, 8]
Generated Node #0,2,3: 94:[50, 8] Operation: 9-1=8
Moving to Node #0,0
Current State: 94:[11, 50, 1], Operations: ['10-9=1']
Exploring Operation: 50-11=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 94:[1, 39] Operation: 50-11=39
Exploring Operation: 50-1=49, Resulting Numbers: [11, 49]
Generated Node #0,0,1: 94:[11, 49] Operation: 50-1=49
Exploring Operation: 11*1=11, Resulting Numbers: [50, 11]
Generated Node #0,0,2: 94:[50, 11] Operation: 11*1=11
Exploring Operation: 11-1=10, Resulting Numbers: [50, 10]
Generated Node #0,0,3: 94:[50, 10] Operation: 11-1=10
Moving to Node #0,3
Current State: 94:[50, 10, 99], Operations: ['9*11=99']
Exploring Operation: 99-50=49, Resulting Numbers: [10, 49]
Generated Node #0,3,0: 94:[10, 49] Operation: 99-50=49
Exploring Operation: 99-10=89, Resulting Numbers: [50, 89]
Generated Node #0,3,1: 94:[50, 89] Operation: 99-10=89
Exploring Operation: 50-10=40, Resulting Numbers: [99, 40]
Generated Node #0,3,2: 94:[99, 40] Operation: 50-10=40
Exploring Operation: 50/10=5, Resulting Numbers: [99, 5]
Generated Node #0,3,3: 94:[99, 5] Operation: 50/10=5
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 94:[50, 89], Operations: ['9*11=99', '99-10=89']
Exploring Operation: 50*89=4450, Resulting Numbers: [4450]
4450,94 unequal: No Solution
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,94 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,94 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 #0,3,3
Current State: 94:[99, 5], Operations: ['9*11=99', '50/10=5']
Exploring Operation: 99+5=104, Resulting Numbers: [104]
104,94 unequal: No Solution
Exploring Operation: 99*5=495, Resulting Numbers: [495]
495,94 unequal: No Solution
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[9, 11, 50, 10], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [50, 10, 99]
Generated Node #0,3: 94:[50, 10, 99] Operation: 9*11=99
Moving to Node #0,3
Current State: 94:[50, 10, 99], Operations: ['9*11=99']
Exploring Operation: 50/10=5, Resulting Numbers: [99, 5]
Generated Node #0,3,3: 94:[99, 5] Operation: 50/10=5
Moving to Node #0,3,3
Current State: 94:[99, 5], Operations: ['9*11=99', '50/10=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806
|
hs_4
|
sum_heuristic
|
[
18,
7,
7,
3
] | 65
|
[
"7-3=4",
"18*4=72",
"72-7=65"
] |
Current State: 65:[18, 7, 7, 3], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [18, 4]
Generated Node #2: [18, 4] from Operation: 7-3=4
Current State: 65:[18, 4], Operations: ['7-3=4']
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,65 equal: Goal Reached
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[18, 7, 7, 3], Operations: []
Exploring Operation: 7+7=14, Resulting Numbers: [18, 3, 14]
Generated Node #0,0: 65:[18, 3, 14] Operation: 7+7=14
Exploring Operation: 18/3=6, Resulting Numbers: [7, 7, 6]
Generated Node #0,1: 65:[7, 7, 6] Operation: 18/3=6
Exploring Operation: 18-7=11, Resulting Numbers: [7, 3, 11]
Generated Node #0,2: 65:[7, 3, 11] Operation: 18-7=11
Exploring Operation: 18-7=11, Resulting Numbers: [7, 3, 11]
Generated Node #0,3: 65:[7, 3, 11] Operation: 18-7=11
Exploring Operation: 18-3=15, Resulting Numbers: [7, 7, 15]
Generated Node #0,4: 65:[7, 7, 15] Operation: 18-3=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[7, 7, 6], Operations: ['18/3=6']
Exploring Operation: 7+7=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 65:[6, 14] Operation: 7+7=14
Exploring Operation: 7/7=1, Resulting Numbers: [6, 1]
Generated Node #0,1,1: 65:[6, 1] Operation: 7/7=1
Exploring Operation: 7-7=0, Resulting Numbers: [6, 0]
Generated Node #0,1,2: 65:[6, 0] Operation: 7-7=0
Exploring Operation: 7+6=13, Resulting Numbers: [7, 13]
Generated Node #0,1,3: 65:[7, 13] Operation: 7+6=13
Exploring Operation: 7+6=13, Resulting Numbers: [7, 13]
Generated Node #0,1,4: 65:[7, 13] Operation: 7+6=13
Moving to Node #0,1,0
Current State: 65:[6, 14], Operations: ['18/3=6', '7+7=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Moving to Node #0,1,4
Current State: 65:[7, 13], Operations: ['18/3=6', '7+6=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,65 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Moving to Node #0,1,3
Current State: 65:[7, 13], Operations: ['18/3=6', '7+6=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,65 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[6, 1], Operations: ['18/3=6', '7/7=1']
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[6, 0], Operations: ['18/3=6', '7-7=0']
Exploring Operation: 6+0=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 6-0=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 6*0=0, Resulting Numbers: [0]
0,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[7, 3, 11], Operations: ['18-7=11']
Exploring Operation: 11-7=4, Resulting Numbers: [3, 4]
Generated Node #0,2,0: 65:[3, 4] Operation: 11-7=4
Exploring Operation: 7+3=10, Resulting Numbers: [11, 10]
Generated Node #0,2,1: 65:[11, 10] Operation: 7+3=10
Exploring Operation: 11-3=8, Resulting Numbers: [7, 8]
Generated Node #0,2,2: 65:[7, 8] Operation: 11-3=8
Exploring Operation: 3+11=14, Resulting Numbers: [7, 14]
Generated Node #0,2,3: 65:[7, 14] Operation: 3+11=14
Exploring Operation: 7-3=4, Resulting Numbers: [11, 4]
Generated Node #0,2,4: 65:[11, 4] Operation: 7-3=4
Moving to Node #0,2,0
Current State: 65:[3, 4], Operations: ['18-7=11', '11-7=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[11, 4], Operations: ['18-7=11', '7-3=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[7, 14], Operations: ['18-7=11', '3+11=14']
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,65 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Moving to Node #0,2,1
Current State: 65:[11, 10], Operations: ['18-7=11', '7+3=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[7, 8], Operations: ['18-7=11', '11-3=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[7, 3, 11], Operations: ['18-7=11']
Exploring Operation: 7-3=4, Resulting Numbers: [11, 4]
Generated Node #0,3,0: 65:[11, 4] Operation: 7-3=4
Exploring Operation: 11-3=8, Resulting Numbers: [7, 8]
Generated Node #0,3,1: 65:[7, 8] Operation: 11-3=8
Exploring Operation: 11-7=4, Resulting Numbers: [3, 4]
Generated Node #0,3,2: 65:[3, 4] Operation: 11-7=4
Exploring Operation: 3+11=14, Resulting Numbers: [7, 14]
Generated Node #0,3,3: 65:[7, 14] Operation: 3+11=14
Exploring Operation: 7+3=10, Resulting Numbers: [11, 10]
Generated Node #0,3,4: 65:[11, 10] Operation: 7+3=10
Moving to Node #0,3,0
Current State: 65:[11, 4], Operations: ['18-7=11', '7-3=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,65 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Moving to Node #0,3,3
Current State: 65:[7, 14], Operations: ['18-7=11', '3+11=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,65 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Moving to Node #0,3,2
Current State: 65:[3, 4], Operations: ['18-7=11', '11-7=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[7, 8], Operations: ['18-7=11', '11-3=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Moving to Node #0,3,4
Current State: 65:[11, 10], Operations: ['18-7=11', '7+3=10']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,65 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 65:[7, 7, 15], Operations: ['18-3=15']
Exploring Operation: 7+7=14, Resulting Numbers: [15, 14]
Generated Node #0,4,0: 65:[15, 14] Operation: 7+7=14
Exploring Operation: 15-7=8, Resulting Numbers: [7, 8]
Generated Node #0,4,1: 65:[7, 8] Operation: 15-7=8
Exploring Operation: 15-7=8, Resulting Numbers: [7, 8]
Generated Node #0,4,2: 65:[7, 8] Operation: 15-7=8
Exploring Operation: 7-7=0, Resulting Numbers: [15, 0]
Generated Node #0,4,3: 65:[15, 0] Operation: 7-7=0
Exploring Operation: 7/7=1, Resulting Numbers: [15, 1]
Generated Node #0,4,4: 65:[15, 1] Operation: 7/7=1
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 65:[15, 14], Operations: ['18-3=15', '7+7=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 65:[7, 8], Operations: ['18-3=15', '15-7=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 65:[7, 8], Operations: ['18-3=15', '15-7=8']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 65:[15, 1], Operations: ['18-3=15', '7/7=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 65:[15, 0], Operations: ['18-3=15', '7-7=0']
Exploring Operation: 15*0=0, Resulting Numbers: [0]
0,65 unequal: No Solution
Exploring Operation: 15+0=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 15-0=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[18, 3, 14], Operations: ['7+7=14']
Exploring Operation: 14-3=11, Resulting Numbers: [18, 11]
Generated Node #0,0,0: 65:[18, 11] Operation: 14-3=11
Exploring Operation: 18-14=4, Resulting Numbers: [3, 4]
Generated Node #0,0,1: 65:[3, 4] Operation: 18-14=4
Exploring Operation: 18+3=21, Resulting Numbers: [14, 21]
Generated Node #0,0,2: 65:[14, 21] Operation: 18+3=21
Exploring Operation: 18-3=15, Resulting Numbers: [14, 15]
Generated Node #0,0,3: 65:[14, 15] Operation: 18-3=15
Exploring Operation: 18/3=6, Resulting Numbers: [14, 6]
Generated Node #0,0,4: 65:[14, 6] Operation: 18/3=6
Moving to Node #0,0,4
Current State: 65:[14, 6], Operations: ['7+7=14', '18/3=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,65 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Moving to Node #0,0,3
Current State: 65:[14, 15], Operations: ['7+7=14', '18-3=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[3, 4], Operations: ['7+7=14', '18-14=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[18, 11], Operations: ['7+7=14', '14-3=11']
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,65 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[14, 21], Operations: ['7+7=14', '18+3=21']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,65 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
35,
19,
33,
83
] | 62
|
[
"35+19=54",
"33+83=116",
"116-54=62"
] |
Current State: 62:[35, 19, 33, 83], Operations: []
Exploring Operation: 35+19=54, Resulting Numbers: [33, 83, 54]
Generated Node #2: [33, 83, 54] from Operation: 35+19=54
Current State: 62:[33, 83, 54], Operations: ['35+19=54']
Exploring Operation: 33+83=116, Resulting Numbers: [54, 116]
Generated Node #3: [54, 116] from Operation: 33+83=116
Current State: 62:[54, 116], Operations: ['35+19=54', '33+83=116']
Exploring Operation: 116-54=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[35, 19, 33, 83], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [35, 33, 64]
Generated Node #0,0: 62:[35, 33, 64] Operation: 83-19=64
Exploring Operation: 83-33=50, Resulting Numbers: [35, 19, 50]
Generated Node #0,1: 62:[35, 19, 50] Operation: 83-33=50
Exploring Operation: 83-35=48, Resulting Numbers: [19, 33, 48]
Generated Node #0,2: 62:[19, 33, 48] Operation: 83-35=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[35, 33, 64], Operations: ['83-19=64']
Exploring Operation: 35-33=2, Resulting Numbers: [64, 2]
Generated Node #0,0,0: 62:[64, 2] Operation: 35-33=2
Exploring Operation: 64-33=31, Resulting Numbers: [35, 31]
Generated Node #0,0,1: 62:[35, 31] Operation: 64-33=31
Exploring Operation: 64-35=29, Resulting Numbers: [33, 29]
Generated Node #0,0,2: 62:[33, 29] Operation: 64-35=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[64, 2], Operations: ['83-19=64', '35-33=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[35, 19, 33, 83], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [35, 33, 64]
Generated Node #0,0: 62:[35, 33, 64] Operation: 83-19=64
Moving to Node #0,0
Current State: 62:[35, 33, 64], Operations: ['83-19=64']
Exploring Operation: 35-33=2, Resulting Numbers: [64, 2]
Generated Node #0,0,0: 62:[64, 2] Operation: 35-33=2
Moving to Node #0,0,0
Current State: 62:[64, 2], Operations: ['83-19=64', '35-33=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_3
|
mult_heuristic
|
[
37,
60,
43,
39
] | 59
|
[
"60-37=23",
"43+39=82",
"82-23=59"
] |
Current State: 59:[37, 60, 43, 39], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [43, 39, 23]
Generated Node #2: [43, 39, 23] from Operation: 60-37=23
Current State: 59:[43, 39, 23], Operations: ['60-37=23']
Exploring Operation: 43+39=82, Resulting Numbers: [23, 82]
Generated Node #3: [23, 82] from Operation: 43+39=82
Current State: 59:[23, 82], Operations: ['60-37=23', '43+39=82']
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[37, 60, 43, 39], Operations: []
Exploring Operation: 37+39=76, Resulting Numbers: [60, 43, 76]
Generated Node #0,0: 59:[60, 43, 76] Operation: 37+39=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[60, 43, 76], Operations: ['37+39=76']
Exploring Operation: 76-43=33, Resulting Numbers: [60, 33]
Generated Node #0,0,0: 59:[60, 33] Operation: 76-43=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[60, 33], Operations: ['37+39=76', '76-43=33']
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
31,
61,
57,
53
] | 71
|
[
"61-57=4",
"31*4=124",
"124-53=71"
] |
Current State: 71:[31, 61, 57, 53], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [31, 53, 4]
Generated Node #2: [31, 53, 4] from Operation: 61-57=4
Current State: 71:[31, 53, 4], Operations: ['61-57=4']
Exploring Operation: 31*4=124, Resulting Numbers: [53, 124]
Generated Node #3: [53, 124] from Operation: 31*4=124
Current State: 71:[53, 124], Operations: ['61-57=4', '31*4=124']
Exploring Operation: 124-53=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4
|
Current State: 71:[31, 61, 57, 53], Operations: []
Exploring Operation: 31+57=88, Resulting Numbers: [61, 53, 88]
Generated Node #0,0: 71:[61, 53, 88] Operation: 31+57=88
Exploring Operation: 61-31=30, Resulting Numbers: [57, 53, 30]
Generated Node #0,1: 71:[57, 53, 30] Operation: 61-31=30
Exploring Operation: 31+53=84, Resulting Numbers: [61, 57, 84]
Generated Node #0,2: 71:[61, 57, 84] Operation: 31+53=84
Exploring Operation: 31+61=92, Resulting Numbers: [57, 53, 92]
Generated Node #0,3: 71:[57, 53, 92] Operation: 31+61=92
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[61, 57, 84], Operations: ['31+53=84']
Exploring Operation: 84-61=23, Resulting Numbers: [57, 23]
Generated Node #0,2,0: 71:[57, 23] Operation: 84-61=23
Exploring Operation: 61-57=4, Resulting Numbers: [84, 4]
Generated Node #0,2,1: 71:[84, 4] Operation: 61-57=4
Exploring Operation: 84-57=27, Resulting Numbers: [61, 27]
Generated Node #0,2,2: 71:[61, 27] Operation: 84-57=27
Exploring Operation: 61+57=118, Resulting Numbers: [84, 118]
Generated Node #0,2,3: 71:[84, 118] Operation: 61+57=118
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[61, 27], Operations: ['31+53=84', '84-57=27']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 61*27=1647, Resulting Numbers: [1647]
1647,71 unequal: No Solution
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 71:[84, 118], Operations: ['31+53=84', '61+57=118']
Exploring Operation: 84+118=202, Resulting Numbers: [202]
202,71 unequal: No Solution
Exploring Operation: 118-84=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 84*118=9912, Resulting Numbers: [9912]
9912,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[57, 23], Operations: ['31+53=84', '84-61=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,71 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[84, 4], Operations: ['31+53=84', '61-57=4']
Exploring Operation: 84+4=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 84*4=336, Resulting Numbers: [336]
336,71 unequal: No Solution
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,71 unequal: No Solution
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[61, 53, 88], Operations: ['31+57=88']
Exploring Operation: 88-53=35, Resulting Numbers: [61, 35]
Generated Node #0,0,0: 71:[61, 35] Operation: 88-53=35
Exploring Operation: 61-53=8, Resulting Numbers: [88, 8]
Generated Node #0,0,1: 71:[88, 8] Operation: 61-53=8
Exploring Operation: 88-61=27, Resulting Numbers: [53, 27]
Generated Node #0,0,2: 71:[53, 27] Operation: 88-61=27
Exploring Operation: 61+53=114, Resulting Numbers: [88, 114]
Generated Node #0,0,3: 71:[88, 114] Operation: 61+53=114
Moving to Node #0,0,0
Current State: 71:[61, 35], Operations: ['31+57=88', '88-53=35']
Exploring Operation: 61*35=2135, Resulting Numbers: [2135]
2135,71 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,71 unequal: No Solution
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[88, 114], Operations: ['31+57=88', '61+53=114']
Exploring Operation: 88+114=202, Resulting Numbers: [202]
202,71 unequal: No Solution
Exploring Operation: 88*114=10032, Resulting Numbers: [10032]
10032,71 unequal: No Solution
Exploring Operation: 114-88=26, Resulting Numbers: [26]
26,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[53, 27], Operations: ['31+57=88', '88-61=27']
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,71 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,71 unequal: No Solution
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[88, 8], Operations: ['31+57=88', '61-53=8']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 88*8=704, Resulting Numbers: [704]
704,71 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,71 unequal: No Solution
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[57, 53, 92], Operations: ['31+61=92']
Exploring Operation: 92-57=35, Resulting Numbers: [53, 35]
Generated Node #0,3,0: 71:[53, 35] Operation: 92-57=35
Exploring Operation: 92-53=39, Resulting Numbers: [57, 39]
Generated Node #0,3,1: 71:[57, 39] Operation: 92-53=39
Exploring Operation: 57+53=110, Resulting Numbers: [92, 110]
Generated Node #0,3,2: 71:[92, 110] Operation: 57+53=110
Exploring Operation: 57-53=4, Resulting Numbers: [92, 4]
Generated Node #0,3,3: 71:[92, 4] Operation: 57-53=4
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 71:[57, 39], Operations: ['31+61=92', '92-53=39']
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,71 unequal: No Solution
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 71:[53, 35], Operations: ['31+61=92', '92-57=35']
Exploring Operation: 53+35=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 53*35=1855, Resulting Numbers: [1855]
1855,71 unequal: No Solution
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 71:[92, 110], Operations: ['31+61=92', '57+53=110']
Exploring Operation: 110-92=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 92+110=202, Resulting Numbers: [202]
202,71 unequal: No Solution
Exploring Operation: 92*110=10120, Resulting Numbers: [10120]
10120,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 71:[92, 4], Operations: ['31+61=92', '57-53=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,71 unequal: No Solution
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,71 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[57, 53, 30], Operations: ['61-31=30']
Exploring Operation: 53-30=23, Resulting Numbers: [57, 23]
Generated Node #0,1,0: 71:[57, 23] Operation: 53-30=23
Exploring Operation: 57-30=27, Resulting Numbers: [53, 27]
Generated Node #0,1,1: 71:[53, 27] Operation: 57-30=27
Exploring Operation: 57+30=87, Resulting Numbers: [53, 87]
Generated Node #0,1,2: 71:[53, 87] Operation: 57+30=87
Exploring Operation: 53+30=83, Resulting Numbers: [57, 83]
Generated Node #0,1,3: 71:[57, 83] Operation: 53+30=83
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 71:[57, 83], Operations: ['61-31=30', '53+30=83']
Exploring Operation: 83-57=26, Resulting Numbers: [26]
26,71 unequal: No Solution
Exploring Operation: 57*83=4731, Resulting Numbers: [4731]
4731,71 unequal: No Solution
Exploring Operation: 57+83=140, Resulting Numbers: [140]
140,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[53, 87], Operations: ['61-31=30', '57+30=87']
Exploring Operation: 53*87=4611, Resulting Numbers: [4611]
4611,71 unequal: No Solution
Exploring Operation: 53+87=140, Resulting Numbers: [140]
140,71 unequal: No Solution
Exploring Operation: 87-53=34, Resulting Numbers: [34]
34,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[57, 23], Operations: ['61-31=30', '53-30=23']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,71 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,71 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[53, 27], Operations: ['61-31=30', '57-30=27']
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,71 unequal: No Solution
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,71 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
10,
74,
91,
96
] | 79
|
[
"10+74=84",
"96-91=5",
"84-5=79"
] |
Current State: 79:[10, 74, 91, 96], Operations: []
Exploring Operation: 10+74=84, Resulting Numbers: [91, 96, 84]
Generated Node #2: [91, 96, 84] from Operation: 10+74=84
Current State: 79:[91, 96, 84], Operations: ['10+74=84']
Exploring Operation: 96-91=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 96-91=5
Current State: 79:[84, 5], Operations: ['10+74=84', '96-91=5']
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[10, 74, 91, 96], Operations: []
Exploring Operation: 96-10=86, Resulting Numbers: [74, 91, 86]
Generated Node #0,0: 79:[74, 91, 86] Operation: 96-10=86
Exploring Operation: 74-10=64, Resulting Numbers: [91, 96, 64]
Generated Node #0,1: 79:[91, 96, 64] Operation: 74-10=64
Exploring Operation: 10+91=101, Resulting Numbers: [74, 96, 101]
Generated Node #0,2: 79:[74, 96, 101] Operation: 10+91=101
Exploring Operation: 91-10=81, Resulting Numbers: [74, 96, 81]
Generated Node #0,3: 79:[74, 96, 81] Operation: 91-10=81
Exploring Operation: 10+74=84, Resulting Numbers: [91, 96, 84]
Generated Node #0,4: 79:[91, 96, 84] Operation: 10+74=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[74, 91, 86], Operations: ['96-10=86']
Exploring Operation: 91-74=17, Resulting Numbers: [86, 17]
Generated Node #0,0,0: 79:[86, 17] Operation: 91-74=17
Exploring Operation: 74+86=160, Resulting Numbers: [91, 160]
Generated Node #0,0,1: 79:[91, 160] Operation: 74+86=160
Exploring Operation: 91-86=5, Resulting Numbers: [74, 5]
Generated Node #0,0,2: 79:[74, 5] Operation: 91-86=5
Exploring Operation: 74+91=165, Resulting Numbers: [86, 165]
Generated Node #0,0,3: 79:[86, 165] Operation: 74+91=165
Exploring Operation: 86-74=12, Resulting Numbers: [91, 12]
Generated Node #0,0,4: 79:[91, 12] Operation: 86-74=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[86, 17], Operations: ['96-10=86', '91-74=17']
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 86+17=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 86*17=1462, Resulting Numbers: [1462]
1462,79 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:[74, 5], Operations: ['96-10=86', '91-86=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[10, 74, 91, 96], Operations: []
Exploring Operation: 96-10=86, Resulting Numbers: [74, 91, 86]
Generated Node #0,0: 79:[74, 91, 86] Operation: 96-10=86
Moving to Node #0,0
Current State: 79:[74, 91, 86], Operations: ['96-10=86']
Exploring Operation: 91-86=5, Resulting Numbers: [74, 5]
Generated Node #0,0,2: 79:[74, 5] Operation: 91-86=5
Moving to Node #0,0,2
Current State: 79:[74, 5], Operations: ['96-10=86', '91-86=5']
Exploring Operation: 74+5=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375
|
hs_5
|
sum_heuristic
|
[
91,
24,
87,
94
] | 11
|
[
"94-87=7",
"91/7=13",
"24-13=11"
] |
Current State: 11:[91, 24, 87, 94], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [91, 24, 7]
Generated Node #2: [91, 24, 7] from Operation: 94-87=7
Current State: 11:[91, 24, 7], Operations: ['94-87=7']
Exploring Operation: 91/7=13, Resulting Numbers: [24, 13]
Generated Node #3: [24, 13] from Operation: 91/7=13
Current State: 11:[24, 13], Operations: ['94-87=7', '91/7=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[91, 24, 87, 94], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [24, 87, 3]
Generated Node #0,0: 11:[24, 87, 3] Operation: 94-91=3
Exploring Operation: 94-87=7, Resulting Numbers: [91, 24, 7]
Generated Node #0,1: 11:[91, 24, 7] Operation: 94-87=7
Exploring Operation: 91-87=4, Resulting Numbers: [24, 94, 4]
Generated Node #0,2: 11:[24, 94, 4] Operation: 91-87=4
Exploring Operation: 91-24=67, Resulting Numbers: [87, 94, 67]
Generated Node #0,3: 11:[87, 94, 67] Operation: 91-24=67
Exploring Operation: 87-24=63, Resulting Numbers: [91, 94, 63]
Generated Node #0,4: 11:[91, 94, 63] Operation: 87-24=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[24, 87, 3], Operations: ['94-91=3']
Exploring Operation: 87/3=29, Resulting Numbers: [24, 29]
Generated Node #0,0,0: 11:[24, 29] Operation: 87/3=29
Exploring Operation: 87-3=84, Resulting Numbers: [24, 84]
Generated Node #0,0,1: 11:[24, 84] Operation: 87-3=84
Exploring Operation: 24/3=8, Resulting Numbers: [87, 8]
Generated Node #0,0,2: 11:[87, 8] Operation: 24/3=8
Exploring Operation: 24-3=21, Resulting Numbers: [87, 21]
Generated Node #0,0,3: 11:[87, 21] Operation: 24-3=21
Exploring Operation: 87-24=63, Resulting Numbers: [3, 63]
Generated Node #0,0,4: 11:[3, 63] Operation: 87-24=63
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[24, 29], Operations: ['94-91=3', '87/3=29']
Exploring Operation: 24+29=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 29-24=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 24*29=696, Resulting Numbers: [696]
696,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 11:[3, 63], Operations: ['94-91=3', '87-24=63']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,11 unequal: No Solution
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 11:[87, 8], Operations: ['94-91=3', '24/3=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,11 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,11 unequal: No Solution
Exploring Operation: 87*8=696, Resulting Numbers: [696]
696,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[24, 84], Operations: ['94-91=3', '87-3=84']
Exploring Operation: 24+84=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 24*84=2016, Resulting Numbers: [2016]
2016,11 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 11:[87, 21], Operations: ['94-91=3', '24-3=21']
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 87+21=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 87*21=1827, Resulting Numbers: [1827]
1827,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[91, 24, 7], Operations: ['94-87=7']
Exploring Operation: 24-7=17, Resulting Numbers: [91, 17]
Generated Node #0,1,0: 11:[91, 17] Operation: 24-7=17
Exploring Operation: 91-7=84, Resulting Numbers: [24, 84]
Generated Node #0,1,1: 11:[24, 84] Operation: 91-7=84
Exploring Operation: 91+7=98, Resulting Numbers: [24, 98]
Generated Node #0,1,2: 11:[24, 98] Operation: 91+7=98
Exploring Operation: 91-24=67, Resulting Numbers: [7, 67]
Generated Node #0,1,3: 11:[7, 67] Operation: 91-24=67
Exploring Operation: 91/7=13, Resulting Numbers: [24, 13]
Generated Node #0,1,4: 11:[24, 13] Operation: 91/7=13
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 11:[24, 13], Operations: ['94-87=7', '91/7=13']
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,11 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[91, 24, 87, 94], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [91, 24, 7]
Generated Node #0,1: 11:[91, 24, 7] Operation: 94-87=7
Moving to Node #0,1
Current State: 11:[91, 24, 7], Operations: ['94-87=7']
Exploring Operation: 91/7=13, Resulting Numbers: [24, 13]
Generated Node #0,1,4: 11:[24, 13] Operation: 91/7=13
Moving to Node #0,1,4
Current State: 11:[24, 13], Operations: ['94-87=7', '91/7=13']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882
|
hs_5
|
mult_heuristic
|
[
46,
26,
25,
23
] | 74
|
[
"46+26=72",
"25-23=2",
"72+2=74"
] |
Current State: 74:[46, 26, 25, 23], Operations: []
Exploring Operation: 46+26=72, Resulting Numbers: [25, 23, 72]
Generated Node #2: [25, 23, 72] from Operation: 46+26=72
Current State: 74:[25, 23, 72], Operations: ['46+26=72']
Exploring Operation: 25-23=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 25-23=2
Current State: 74:[72, 2], Operations: ['46+26=72', '25-23=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4
|
Current State: 74:[46, 26, 25, 23], Operations: []
Exploring Operation: 46+26=72, Resulting Numbers: [25, 23, 72]
Generated Node #0,0: 74:[25, 23, 72] Operation: 46+26=72
Exploring Operation: 46/23=2, Resulting Numbers: [26, 25, 2]
Generated Node #0,1: 74:[26, 25, 2] Operation: 46/23=2
Exploring Operation: 25-23=2, Resulting Numbers: [46, 26, 2]
Generated Node #0,2: 74:[46, 26, 2] Operation: 25-23=2
Exploring Operation: 26-23=3, Resulting Numbers: [46, 25, 3]
Generated Node #0,3: 74:[46, 25, 3] Operation: 26-23=3
Exploring Operation: 26-25=1, Resulting Numbers: [46, 23, 1]
Generated Node #0,4: 74:[46, 23, 1] Operation: 26-25=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[46, 26, 2], Operations: ['25-23=2']
Exploring Operation: 26/2=13, Resulting Numbers: [46, 13]
Generated Node #0,2,0: 74:[46, 13] Operation: 26/2=13
Exploring Operation: 46+26=72, Resulting Numbers: [2, 72]
Generated Node #0,2,1: 74:[2, 72] Operation: 46+26=72
Exploring Operation: 26+2=28, Resulting Numbers: [46, 28]
Generated Node #0,2,2: 74:[46, 28] Operation: 26+2=28
Exploring Operation: 46-2=44, Resulting Numbers: [26, 44]
Generated Node #0,2,3: 74:[26, 44] Operation: 46-2=44
Exploring Operation: 46-26=20, Resulting Numbers: [2, 20]
Generated Node #0,2,4: 74:[2, 20] Operation: 46-26=20
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 74:[2, 72], Operations: ['25-23=2', '46+26=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,74 unequal: No Solution
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,74 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,74 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[46, 26, 25, 23], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [46, 26, 2]
Generated Node #0,2: 74:[46, 26, 2] Operation: 25-23=2
Moving to Node #0,2
Current State: 74:[46, 26, 2], Operations: ['25-23=2']
Exploring Operation: 46+26=72, Resulting Numbers: [2, 72]
Generated Node #0,2,1: 74:[2, 72] Operation: 46+26=72
Moving to Node #0,2,1
Current State: 74:[2, 72], Operations: ['25-23=2', '46+26=72']
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375
|
hs_5
|
mult_heuristic
|
[
32,
28,
40,
18
] | 48
|
[
"32*18=576",
"40-28=12",
"576/12=48"
] |
Current State: 48:[32, 28, 40, 18], Operations: []
Exploring Operation: 32*18=576, Resulting Numbers: [28, 40, 576]
Generated Node #2: [28, 40, 576] from Operation: 32*18=576
Current State: 48:[28, 40, 576], Operations: ['32*18=576']
Exploring Operation: 40-28=12, Resulting Numbers: [576, 12]
Generated Node #3: [576, 12] from Operation: 40-28=12
Current State: 48:[576, 12], Operations: ['32*18=576', '40-28=12']
Exploring Operation: 576/12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[32, 28, 40, 18], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [40, 18, 4]
Generated Node #0,0: 48:[40, 18, 4] Operation: 32-28=4
Exploring Operation: 40-32=8, Resulting Numbers: [28, 18, 8]
Generated Node #0,1: 48:[28, 18, 8] Operation: 40-32=8
Exploring Operation: 40-28=12, Resulting Numbers: [32, 18, 12]
Generated Node #0,2: 48:[32, 18, 12] Operation: 40-28=12
Exploring Operation: 32+18=50, Resulting Numbers: [28, 40, 50]
Generated Node #0,3: 48:[28, 40, 50] Operation: 32+18=50
Exploring Operation: 32-18=14, Resulting Numbers: [28, 40, 14]
Generated Node #0,4: 48:[28, 40, 14] Operation: 32-18=14
Moving to Node #0,1
Current State: 48:[28, 18, 8], Operations: ['40-32=8']
Exploring Operation: 28-18=10, Resulting Numbers: [8, 10]
Generated Node #0,1,0: 48:[8, 10] Operation: 28-18=10
Exploring Operation: 28+18=46, Resulting Numbers: [8, 46]
Generated Node #0,1,1: 48:[8, 46] Operation: 28+18=46
Exploring Operation: 18-8=10, Resulting Numbers: [28, 10]
Generated Node #0,1,2: 48:[28, 10] Operation: 18-8=10
Exploring Operation: 18+8=26, Resulting Numbers: [28, 26]
Generated Node #0,1,3: 48:[28, 26] Operation: 18+8=26
Exploring Operation: 28-8=20, Resulting Numbers: [18, 20]
Generated Node #0,1,4: 48:[18, 20] Operation: 28-8=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[8, 10], Operations: ['40-32=8', '28-18=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,48 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[8, 46], Operations: ['40-32=8', '28+18=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[28, 10], Operations: ['40-32=8', '18-8=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,48 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 48:[28, 26], Operations: ['40-32=8', '18+8=26']
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,48 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 48:[18, 20], Operations: ['40-32=8', '28-8=20']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,48 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 48:[32, 18, 12], Operations: ['40-28=12']
Exploring Operation: 32-18=14, Resulting Numbers: [12, 14]
Generated Node #0,2,0: 48:[12, 14] Operation: 32-18=14
Exploring Operation: 32+12=44, Resulting Numbers: [18, 44]
Generated Node #0,2,1: 48:[18, 44] Operation: 32+12=44
Exploring Operation: 32+18=50, Resulting Numbers: [12, 50]
Generated Node #0,2,2: 48:[12, 50] Operation: 32+18=50
Exploring Operation: 18-12=6, Resulting Numbers: [32, 6]
Generated Node #0,2,3: 48:[32, 6] Operation: 18-12=6
Exploring Operation: 32-12=20, Resulting Numbers: [18, 20]
Generated Node #0,2,4: 48:[18, 20] Operation: 32-12=20
Moving to Node #0,0
Current State: 48:[40, 18, 4], Operations: ['32-28=4']
Exploring Operation: 40+4=44, Resulting Numbers: [18, 44]
Generated Node #0,0,0: 48:[18, 44] Operation: 40+4=44
Exploring Operation: 18+4=22, Resulting Numbers: [40, 22]
Generated Node #0,0,1: 48:[40, 22] Operation: 18+4=22
Exploring Operation: 40+18=58, Resulting Numbers: [4, 58]
Generated Node #0,0,2: 48:[4, 58] Operation: 40+18=58
Exploring Operation: 40/4=10, Resulting Numbers: [18, 10]
Generated Node #0,0,3: 48:[18, 10] Operation: 40/4=10
Exploring Operation: 40-18=22, Resulting Numbers: [4, 22]
Generated Node #0,0,4: 48:[4, 22] Operation: 40-18=22
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[4, 22], Operations: ['32-28=4', '40-18=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,48 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[18, 10], Operations: ['32-28=4', '40/4=10']
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,48 unequal: No Solution
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,48 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[18, 44], Operations: ['32-28=4', '40+4=44']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[40, 22], Operations: ['32-28=4', '18+4=22']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,48 unequal: No Solution
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[4, 58], Operations: ['32-28=4', '40+18=58']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,48 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,48 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: 48:[28, 40, 50], Operations: ['32+18=50']
Exploring Operation: 28+50=78, Resulting Numbers: [40, 78]
Generated Node #0,3,0: 48:[40, 78] Operation: 28+50=78
Exploring Operation: 40-28=12, Resulting Numbers: [50, 12]
Generated Node #0,3,1: 48:[50, 12] Operation: 40-28=12
Exploring Operation: 50-28=22, Resulting Numbers: [40, 22]
Generated Node #0,3,2: 48:[40, 22] Operation: 50-28=22
Exploring Operation: 50-40=10, Resulting Numbers: [28, 10]
Generated Node #0,3,3: 48:[28, 10] Operation: 50-40=10
Exploring Operation: 28+40=68, Resulting Numbers: [50, 68]
Generated Node #0,3,4: 48:[50, 68] Operation: 28+40=68
Moving to Node #0,4
Current State: 48:[28, 40, 14], Operations: ['32-18=14']
Exploring Operation: 40-28=12, Resulting Numbers: [14, 12]
Generated Node #0,4,0: 48:[14, 12] Operation: 40-28=12
Exploring Operation: 28-14=14, Resulting Numbers: [40, 14]
Generated Node #0,4,1: 48:[40, 14] Operation: 28-14=14
Exploring Operation: 40+14=54, Resulting Numbers: [28, 54]
Generated Node #0,4,2: 48:[28, 54] Operation: 40+14=54
Exploring Operation: 28/14=2, Resulting Numbers: [40, 2]
Generated Node #0,4,3: 48:[40, 2] Operation: 28/14=2
Exploring Operation: 40-14=26, Resulting Numbers: [28, 26]
Generated Node #0,4,4: 48:[28, 26] Operation: 40-14=26
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 48:[14, 12], Operations: ['32-18=14', '40-28=12']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 48:[28, 26], Operations: ['32-18=14', '40-14=26']
Exploring Operation: 28*26=728, Resulting Numbers: [728]
728,48 unequal: No Solution
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 28-26=2, Resulting Numbers: [2]
2,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 48:[40, 2], Operations: ['32-18=14', '28/14=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,48 unequal: No Solution
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 48:[40, 14], Operations: ['32-18=14', '28-14=14']
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,48 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 48:[28, 54], Operations: ['32-18=14', '40+14=54']
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,48 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,48 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: 48:[12, 14], Operations: ['40-28=12', '32-18=14']
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[50, 12], Operations: ['32+18=50', '40-28=12']
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,48 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[12, 50], Operations: ['40-28=12', '32+18=50']
Exploring Operation: 12*50=600, Resulting Numbers: [600]
600,48 unequal: No Solution
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[28, 10], Operations: ['32+18=50', '50-40=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[18, 44], Operations: ['40-28=12', '32+12=44']
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,48 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Moving to Node #0,2,4
Current State: 48:[18, 20], Operations: ['40-28=12', '32-12=20']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[32, 6], Operations: ['40-28=12', '18-12=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,48 unequal: No Solution
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[40, 22], Operations: ['32+18=50', '50-28=22']
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,48 unequal: No Solution
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[50, 68], Operations: ['32+18=50', '28+40=68']
Exploring Operation: 50+68=118, Resulting Numbers: [118]
118,48 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 50*68=3400, Resulting Numbers: [3400]
3400,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[40, 78], Operations: ['32+18=50', '28+50=78']
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,48 unequal: No Solution
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,48 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,48 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
17,
6,
68,
83
] | 87
|
[
"17*6=102",
"83-68=15",
"102-15=87"
] |
Current State: 87:[17, 6, 68, 83], Operations: []
Exploring Operation: 17*6=102, Resulting Numbers: [68, 83, 102]
Generated Node #2: [68, 83, 102] from Operation: 17*6=102
Current State: 87:[68, 83, 102], Operations: ['17*6=102']
Exploring Operation: 83-68=15, Resulting Numbers: [102, 15]
Generated Node #3: [102, 15] from Operation: 83-68=15
Current State: 87:[102, 15], Operations: ['17*6=102', '83-68=15']
Exploring Operation: 102-15=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[17, 6, 68, 83], Operations: []
Exploring Operation: 17+68=85, Resulting Numbers: [6, 83, 85]
Generated Node #0,0: 87:[6, 83, 85] Operation: 17+68=85
Exploring Operation: 68/17=4, Resulting Numbers: [6, 83, 4]
Generated Node #0,1: 87:[6, 83, 4] Operation: 68/17=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[6, 83, 4], Operations: ['68/17=4']
Exploring Operation: 6+83=89, Resulting Numbers: [4, 89]
Generated Node #0,1,0: 87:[4, 89] Operation: 6+83=89
Exploring Operation: 83+4=87, Resulting Numbers: [6, 87]
Generated Node #0,1,1: 87:[6, 87] Operation: 83+4=87
Moving to Node #0,1,0
Current State: 87:[4, 89], Operations: ['68/17=4', '6+83=89']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 4+89=93, Resulting Numbers: [93]
93,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[6, 87], Operations: ['68/17=4', '83+4=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,87 unequal: No Solution
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,87 unequal: No Solution
No 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: 87:[6, 83, 85], Operations: ['17+68=85']
Exploring Operation: 6+83=89, Resulting Numbers: [85, 89]
Generated Node #0,0,0: 87:[85, 89] Operation: 6+83=89
Exploring Operation: 85-83=2, Resulting Numbers: [6, 2]
Generated Node #0,0,1: 87:[6, 2] Operation: 85-83=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[85, 89], Operations: ['17+68=85', '6+83=89']
Exploring Operation: 85+89=174, Resulting Numbers: [174]
174,87 unequal: No Solution
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,87 unequal: No Solution
No 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: 87:[6, 2], Operations: ['17+68=85', '85-83=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 6-2=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_2
|
mult_heuristic
|
[
25,
24,
44,
95
] | 100
|
[
"25+24=49",
"95-44=51",
"49+51=100"
] |
Current State: 100:[25, 24, 44, 95], Operations: []
Exploring Operation: 25+24=49, Resulting Numbers: [44, 95, 49]
Generated Node #2: [44, 95, 49] from Operation: 25+24=49
Current State: 100:[44, 95, 49], Operations: ['25+24=49']
Exploring Operation: 95-44=51, Resulting Numbers: [49, 51]
Generated Node #3: [49, 51] from Operation: 95-44=51
Current State: 100:[49, 51], Operations: ['25+24=49', '95-44=51']
Exploring Operation: 49+51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4
|
Current State: 100:[25, 24, 44, 95], Operations: []
Exploring Operation: 95-44=51, Resulting Numbers: [25, 24, 51]
Generated Node #0,0: 100:[25, 24, 51] Operation: 95-44=51
Exploring Operation: 44-24=20, Resulting Numbers: [25, 95, 20]
Generated Node #0,1: 100:[25, 95, 20] Operation: 44-24=20
Moving to Node #0,0
Current State: 100:[25, 24, 51], Operations: ['95-44=51']
Exploring Operation: 25-24=1, Resulting Numbers: [51, 1]
Generated Node #0,0,0: 100:[51, 1] Operation: 25-24=1
Exploring Operation: 25+24=49, Resulting Numbers: [51, 49]
Generated Node #0,0,1: 100:[51, 49] Operation: 25+24=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[51, 1], Operations: ['95-44=51', '25-24=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[51, 49], Operations: ['95-44=51', '25+24=49']
Exploring Operation: 51+49=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[25, 24, 44, 95], Operations: []
Exploring Operation: 95-44=51, Resulting Numbers: [25, 24, 51]
Generated Node #0,0: 100:[25, 24, 51] Operation: 95-44=51
Moving to Node #0,0
Current State: 100:[25, 24, 51], Operations: ['95-44=51']
Exploring Operation: 25+24=49, Resulting Numbers: [51, 49]
Generated Node #0,0,1: 100:[51, 49] Operation: 25+24=49
Moving to Node #0,0,1
Current State: 100:[51, 49], Operations: ['95-44=51', '25+24=49']
Exploring Operation: 51+49=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
mult_heuristic
|
[
38,
94,
5,
41
] | 79
|
[
"41-38=3",
"5*3=15",
"94-15=79"
] |
Current State: 79:[38, 94, 5, 41], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [94, 5, 3]
Generated Node #2: [94, 5, 3] from Operation: 41-38=3
Current State: 79:[94, 5, 3], Operations: ['41-38=3']
Exploring Operation: 5*3=15, Resulting Numbers: [94, 15]
Generated Node #3: [94, 15] from Operation: 5*3=15
Current State: 79:[94, 15], Operations: ['41-38=3', '5*3=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[38, 94, 5, 41], Operations: []
Exploring Operation: 5+41=46, Resulting Numbers: [38, 94, 46]
Generated Node #0,0: 79:[38, 94, 46] Operation: 5+41=46
Exploring Operation: 38+41=79, Resulting Numbers: [94, 5, 79]
Generated Node #0,1: 79:[94, 5, 79] Operation: 38+41=79
Exploring Operation: 94-5=89, Resulting Numbers: [38, 41, 89]
Generated Node #0,2: 79:[38, 41, 89] Operation: 94-5=89
Exploring Operation: 38+5=43, Resulting Numbers: [94, 41, 43]
Generated Node #0,3: 79:[94, 41, 43] Operation: 38+5=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[38, 94, 46], Operations: ['5+41=46']
Exploring Operation: 94-38=56, Resulting Numbers: [46, 56]
Generated Node #0,0,0: 79:[46, 56] Operation: 94-38=56
Exploring Operation: 38+46=84, Resulting Numbers: [94, 84]
Generated Node #0,0,1: 79:[94, 84] Operation: 38+46=84
Exploring Operation: 38+94=132, Resulting Numbers: [46, 132]
Generated Node #0,0,2: 79:[46, 132] Operation: 38+94=132
Exploring Operation: 94-46=48, Resulting Numbers: [38, 48]
Generated Node #0,0,3: 79:[38, 48] Operation: 94-46=48
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[94, 84], Operations: ['5+41=46', '38+46=84']
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 94+84=178, Resulting Numbers: [178]
178,79 unequal: No Solution
Exploring Operation: 94*84=7896, Resulting Numbers: [7896]
7896,79 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 #0,0,0
Current State: 79:[46, 56], Operations: ['5+41=46', '94-38=56']
Exploring Operation: 46+56=102, Resulting Numbers: [102]
102,79 unequal: No Solution
Exploring Operation: 46*56=2576, Resulting Numbers: [2576]
2576,79 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,79 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 #0,0,3
Current State: 79:[38, 48], Operations: ['5+41=46', '94-46=48']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,79 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:[46, 132], Operations: ['5+41=46', '38+94=132']
Exploring Operation: 46*132=6072, Resulting Numbers: [6072]
6072,79 unequal: No Solution
Exploring Operation: 46+132=178, Resulting Numbers: [178]
178,79 unequal: No Solution
Exploring Operation: 132-46=86, Resulting Numbers: [86]
86,79 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:[94, 5, 79], Operations: ['38+41=79']
Exploring Operation: 94-5=89, Resulting Numbers: [79, 89]
Generated Node #0,1,0: 79:[79, 89] Operation: 94-5=89
Exploring Operation: 94+5=99, Resulting Numbers: [79, 99]
Generated Node #0,1,1: 79:[79, 99] Operation: 94+5=99
Exploring Operation: 5+79=84, Resulting Numbers: [94, 84]
Generated Node #0,1,2: 79:[94, 84] Operation: 5+79=84
Exploring Operation: 79-5=74, Resulting Numbers: [94, 74]
Generated Node #0,1,3: 79:[94, 74] Operation: 79-5=74
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[79, 89], Operations: ['38+41=79', '94-5=89']
Exploring Operation: 89-79=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 79*89=7031, Resulting Numbers: [7031]
7031,79 unequal: No Solution
Exploring Operation: 79+89=168, Resulting Numbers: [168]
168,79 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:[79, 99], Operations: ['38+41=79', '94+5=99']
Exploring Operation: 79+99=178, Resulting Numbers: [178]
178,79 unequal: No Solution
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 79*99=7821, Resulting Numbers: [7821]
7821,79 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 #0,1,2
Current State: 79:[94, 84], Operations: ['38+41=79', '5+79=84']
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 94*84=7896, Resulting Numbers: [7896]
7896,79 unequal: No Solution
Exploring Operation: 94+84=178, Resulting Numbers: [178]
178,79 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:[94, 74], Operations: ['38+41=79', '79-5=74']
Exploring Operation: 94-74=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 94*74=6956, Resulting Numbers: [6956]
6956,79 unequal: No Solution
Exploring Operation: 94+74=168, Resulting Numbers: [168]
168,79 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 #0,2
Current State: 79:[38, 41, 89], Operations: ['94-5=89']
Exploring Operation: 89-38=51, Resulting Numbers: [41, 51]
Generated Node #0,2,0: 79:[41, 51] Operation: 89-38=51
Exploring Operation: 38+41=79, Resulting Numbers: [89, 79]
Generated Node #0,2,1: 79:[89, 79] Operation: 38+41=79
Exploring Operation: 41-38=3, Resulting Numbers: [89, 3]
Generated Node #0,2,2: 79:[89, 3] Operation: 41-38=3
Exploring Operation: 89-41=48, Resulting Numbers: [38, 48]
Generated Node #0,2,3: 79:[38, 48] Operation: 89-41=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[89, 79], Operations: ['94-5=89', '38+41=79']
Exploring Operation: 89-79=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 89*79=7031, Resulting Numbers: [7031]
7031,79 unequal: No Solution
Exploring Operation: 89+79=168, Resulting Numbers: [168]
168,79 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 #0,2,0
Current State: 79:[41, 51], Operations: ['94-5=89', '89-38=51']
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,79 unequal: No Solution
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,79 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 #0,2,3
Current State: 79:[38, 48], Operations: ['94-5=89', '89-41=48']
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,79 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,79 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 #0,2,2
Current State: 79:[89, 3], Operations: ['94-5=89', '41-38=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,79 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,79 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 #0,3
Current State: 79:[94, 41, 43], Operations: ['38+5=43']
Exploring Operation: 94-43=51, Resulting Numbers: [41, 51]
Generated Node #0,3,0: 79:[41, 51] Operation: 94-43=51
Exploring Operation: 94+41=135, Resulting Numbers: [43, 135]
Generated Node #0,3,1: 79:[43, 135] Operation: 94+41=135
Exploring Operation: 94-41=53, Resulting Numbers: [43, 53]
Generated Node #0,3,2: 79:[43, 53] Operation: 94-41=53
Exploring Operation: 41+43=84, Resulting Numbers: [94, 84]
Generated Node #0,3,3: 79:[94, 84] Operation: 41+43=84
Moving to Node #0,3,3
Current State: 79:[94, 84], Operations: ['38+5=43', '41+43=84']
Exploring Operation: 94-84=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 94+84=178, Resulting Numbers: [178]
178,79 unequal: No Solution
Exploring Operation: 94*84=7896, Resulting Numbers: [7896]
7896,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[43, 53], Operations: ['38+5=43', '94-41=53']
Exploring Operation: 43+53=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 43*53=2279, Resulting Numbers: [2279]
2279,79 unequal: No Solution
Exploring Operation: 53-43=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[41, 51], Operations: ['38+5=43', '94-43=51']
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,79 unequal: No Solution
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[43, 135], Operations: ['38+5=43', '94+41=135']
Exploring Operation: 135-43=92, Resulting Numbers: [92]
92,79 unequal: No Solution
Exploring Operation: 43+135=178, Resulting Numbers: [178]
178,79 unequal: No Solution
Exploring Operation: 43*135=5805, Resulting Numbers: [5805]
5805,79 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
|
[
84,
31,
73,
15
] | 35
|
[
"84-31=53",
"73+15=88",
"88-53=35"
] |
Current State: 35:[84, 31, 73, 15], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [73, 15, 53]
Generated Node #2: [73, 15, 53] from Operation: 84-31=53
Current State: 35:[73, 15, 53], Operations: ['84-31=53']
Exploring Operation: 73+15=88, Resulting Numbers: [53, 88]
Generated Node #3: [53, 88] from Operation: 73+15=88
Current State: 35:[53, 88], Operations: ['84-31=53', '73+15=88']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[84, 31, 73, 15], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [31, 15, 11]
Generated Node #0,0: 35:[31, 15, 11] Operation: 84-73=11
Exploring Operation: 84-31=53, Resulting Numbers: [73, 15, 53]
Generated Node #0,1: 35:[73, 15, 53] Operation: 84-31=53
Exploring Operation: 73-15=58, Resulting Numbers: [84, 31, 58]
Generated Node #0,2: 35:[84, 31, 58] Operation: 73-15=58
Exploring Operation: 73-31=42, Resulting Numbers: [84, 15, 42]
Generated Node #0,3: 35:[84, 15, 42] Operation: 73-31=42
Exploring Operation: 84-15=69, Resulting Numbers: [31, 73, 69]
Generated Node #0,4: 35:[31, 73, 69] Operation: 84-15=69
Moving to Node #0,0
Current State: 35:[31, 15, 11], Operations: ['84-73=11']
Exploring Operation: 15+11=26, Resulting Numbers: [31, 26]
Generated Node #0,0,0: 35:[31, 26] Operation: 15+11=26
Exploring Operation: 31-15=16, Resulting Numbers: [11, 16]
Generated Node #0,0,1: 35:[11, 16] Operation: 31-15=16
Exploring Operation: 31+11=42, Resulting Numbers: [15, 42]
Generated Node #0,0,2: 35:[15, 42] Operation: 31+11=42
Exploring Operation: 31+15=46, Resulting Numbers: [11, 46]
Generated Node #0,0,3: 35:[11, 46] Operation: 31+15=46
Exploring Operation: 15-11=4, Resulting Numbers: [31, 4]
Generated Node #0,0,4: 35:[31, 4] Operation: 15-11=4
Moving to Node #0,3
Current State: 35:[84, 15, 42], Operations: ['73-31=42']
Exploring Operation: 84-15=69, Resulting Numbers: [42, 69]
Generated Node #0,3,0: 35:[42, 69] Operation: 84-15=69
Exploring Operation: 84/42=2, Resulting Numbers: [15, 2]
Generated Node #0,3,1: 35:[15, 2] Operation: 84/42=2
Exploring Operation: 42-15=27, Resulting Numbers: [84, 27]
Generated Node #0,3,2: 35:[84, 27] Operation: 42-15=27
Exploring Operation: 84+15=99, Resulting Numbers: [42, 99]
Generated Node #0,3,3: 35:[42, 99] Operation: 84+15=99
Exploring Operation: 84-42=42, Resulting Numbers: [15, 42]
Generated Node #0,3,4: 35:[15, 42] Operation: 84-42=42
Moving to Node #0,1
Current State: 35:[73, 15, 53], Operations: ['84-31=53']
Exploring Operation: 73-53=20, Resulting Numbers: [15, 20]
Generated Node #0,1,0: 35:[15, 20] Operation: 73-53=20
Exploring Operation: 15+53=68, Resulting Numbers: [73, 68]
Generated Node #0,1,1: 35:[73, 68] Operation: 15+53=68
Exploring Operation: 73+15=88, Resulting Numbers: [53, 88]
Generated Node #0,1,2: 35:[53, 88] Operation: 73+15=88
Exploring Operation: 53-15=38, Resulting Numbers: [73, 38]
Generated Node #0,1,3: 35:[73, 38] Operation: 53-15=38
Exploring Operation: 73-15=58, Resulting Numbers: [53, 58]
Generated Node #0,1,4: 35:[53, 58] Operation: 73-15=58
Moving to Node #0,2
Current State: 35:[84, 31, 58], Operations: ['73-15=58']
Exploring Operation: 58-31=27, Resulting Numbers: [84, 27]
Generated Node #0,2,0: 35:[84, 27] Operation: 58-31=27
Exploring Operation: 31+58=89, Resulting Numbers: [84, 89]
Generated Node #0,2,1: 35:[84, 89] Operation: 31+58=89
Exploring Operation: 84-31=53, Resulting Numbers: [58, 53]
Generated Node #0,2,2: 35:[58, 53] Operation: 84-31=53
Exploring Operation: 84+31=115, Resulting Numbers: [58, 115]
Generated Node #0,2,3: 35:[58, 115] Operation: 84+31=115
Exploring Operation: 84-58=26, Resulting Numbers: [31, 26]
Generated Node #0,2,4: 35:[31, 26] Operation: 84-58=26
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 35:[31, 26], Operations: ['73-15=58', '84-58=26']
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 31*26=806, Resulting Numbers: [806]
806,35 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,35 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 #0,2,2
Current State: 35:[58, 53], Operations: ['73-15=58', '84-31=53']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,35 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,35 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 #0,2,0
Current State: 35:[84, 27], Operations: ['73-15=58', '58-31=27']
Exploring Operation: 84+27=111, Resulting Numbers: [111]
111,35 unequal: No Solution
Exploring Operation: 84-27=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 84*27=2268, Resulting Numbers: [2268]
2268,35 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 #0,2,1
Current State: 35:[84, 89], Operations: ['73-15=58', '31+58=89']
Exploring Operation: 84+89=173, Resulting Numbers: [173]
173,35 unequal: No Solution
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 84*89=7476, Resulting Numbers: [7476]
7476,35 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 #0,2,3
Current State: 35:[58, 115], Operations: ['73-15=58', '84+31=115']
Exploring Operation: 58*115=6670, Resulting Numbers: [6670]
6670,35 unequal: No Solution
Exploring Operation: 58+115=173, Resulting Numbers: [173]
173,35 unequal: No Solution
Exploring Operation: 115-58=57, Resulting Numbers: [57]
57,35 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: 35:[31, 73, 69], Operations: ['84-15=69']
Exploring Operation: 73-31=42, Resulting Numbers: [69, 42]
Generated Node #0,4,0: 35:[69, 42] Operation: 73-31=42
Exploring Operation: 31+69=100, Resulting Numbers: [73, 100]
Generated Node #0,4,1: 35:[73, 100] Operation: 31+69=100
Exploring Operation: 31+73=104, Resulting Numbers: [69, 104]
Generated Node #0,4,2: 35:[69, 104] Operation: 31+73=104
Exploring Operation: 69-31=38, Resulting Numbers: [73, 38]
Generated Node #0,4,3: 35:[73, 38] Operation: 69-31=38
Exploring Operation: 73-69=4, Resulting Numbers: [31, 4]
Generated Node #0,4,4: 35:[31, 4] Operation: 73-69=4
Moving to Node #0,0,4
Current State: 35:[31, 4], Operations: ['84-73=11', '15-11=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[84, 31, 73, 15], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [31, 15, 11]
Generated Node #0,0: 35:[31, 15, 11] Operation: 84-73=11
Moving to Node #0,0
Current State: 35:[31, 15, 11], Operations: ['84-73=11']
Exploring Operation: 15-11=4, Resulting Numbers: [31, 4]
Generated Node #0,0,4: 35:[31, 4] Operation: 15-11=4
Moving to Node #0,0,4
Current State: 35:[31, 4], Operations: ['84-73=11', '15-11=4']
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.955729
|
hs_5
|
mult_heuristic
|
[
95,
25,
8,
10
] | 45
|
[
"10-8=2",
"25*2=50",
"95-50=45"
] |
Current State: 45:[95, 25, 8, 10], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [95, 25, 2]
Generated Node #2: [95, 25, 2] from Operation: 10-8=2
Current State: 45:[95, 25, 2], Operations: ['10-8=2']
Exploring Operation: 25*2=50, Resulting Numbers: [95, 50]
Generated Node #3: [95, 50] from Operation: 25*2=50
Current State: 45:[95, 50], Operations: ['10-8=2', '25*2=50']
Exploring Operation: 95-50=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[95, 25, 8, 10], Operations: []
Exploring Operation: 25-10=15, Resulting Numbers: [95, 8, 15]
Generated Node #0,0: 45:[95, 8, 15] Operation: 25-10=15
Exploring Operation: 95-25=70, Resulting Numbers: [8, 10, 70]
Generated Node #0,1: 45:[8, 10, 70] Operation: 95-25=70
Exploring Operation: 95-8=87, Resulting Numbers: [25, 10, 87]
Generated Node #0,2: 45:[25, 10, 87] Operation: 95-8=87
Exploring Operation: 25-8=17, Resulting Numbers: [95, 10, 17]
Generated Node #0,3: 45:[95, 10, 17] Operation: 25-8=17
Exploring Operation: 95-10=85, Resulting Numbers: [25, 8, 85]
Generated Node #0,4: 45:[25, 8, 85] Operation: 95-10=85
Moving to Node #0,1
Current State: 45:[8, 10, 70], Operations: ['95-25=70']
Exploring Operation: 8+10=18, Resulting Numbers: [70, 18]
Generated Node #0,1,0: 45:[70, 18] Operation: 8+10=18
Exploring Operation: 70/10=7, Resulting Numbers: [8, 7]
Generated Node #0,1,1: 45:[8, 7] Operation: 70/10=7
Exploring Operation: 10-8=2, Resulting Numbers: [70, 2]
Generated Node #0,1,2: 45:[70, 2] Operation: 10-8=2
Exploring Operation: 70-10=60, Resulting Numbers: [8, 60]
Generated Node #0,1,3: 45:[8, 60] Operation: 70-10=60
Exploring Operation: 70-8=62, Resulting Numbers: [10, 62]
Generated Node #0,1,4: 45:[10, 62] Operation: 70-8=62
Moving to Node #0,4
Current State: 45:[25, 8, 85], Operations: ['95-10=85']
Exploring Operation: 8+85=93, Resulting Numbers: [25, 93]
Generated Node #0,4,0: 45:[25, 93] Operation: 8+85=93
Exploring Operation: 85-8=77, Resulting Numbers: [25, 77]
Generated Node #0,4,1: 45:[25, 77] Operation: 85-8=77
Exploring Operation: 25-8=17, Resulting Numbers: [85, 17]
Generated Node #0,4,2: 45:[85, 17] Operation: 25-8=17
Exploring Operation: 25+8=33, Resulting Numbers: [85, 33]
Generated Node #0,4,3: 45:[85, 33] Operation: 25+8=33
Exploring Operation: 85-25=60, Resulting Numbers: [8, 60]
Generated Node #0,4,4: 45:[8, 60] Operation: 85-25=60
Moving to Node #0,0
Current State: 45:[95, 8, 15], Operations: ['25-10=15']
Exploring Operation: 95-15=80, Resulting Numbers: [8, 80]
Generated Node #0,0,0: 45:[8, 80] Operation: 95-15=80
Exploring Operation: 95-8=87, Resulting Numbers: [15, 87]
Generated Node #0,0,1: 45:[15, 87] Operation: 95-8=87
Exploring Operation: 8+15=23, Resulting Numbers: [95, 23]
Generated Node #0,0,2: 45:[95, 23] Operation: 8+15=23
Exploring Operation: 95+8=103, Resulting Numbers: [15, 103]
Generated Node #0,0,3: 45:[15, 103] Operation: 95+8=103
Exploring Operation: 15-8=7, Resulting Numbers: [95, 7]
Generated Node #0,0,4: 45:[95, 7] Operation: 15-8=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[8, 80], Operations: ['25-10=15', '95-15=80']
Exploring Operation: 8+80=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 8*80=640, Resulting Numbers: [640]
640,45 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,45 unequal: No Solution
No 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: 45:[15, 87], Operations: ['25-10=15', '95-8=87']
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,45 unequal: No Solution
No 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: 45:[95, 7], Operations: ['25-10=15', '15-8=7']
Exploring Operation: 95+7=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 95*7=665, Resulting Numbers: [665]
665,45 unequal: No Solution
No 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: 45:[95, 23], Operations: ['25-10=15', '8+15=23']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 95*23=2185, Resulting Numbers: [2185]
2185,45 unequal: No Solution
Exploring Operation: 95+23=118, Resulting Numbers: [118]
118,45 unequal: No Solution
No 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: 45:[15, 103], Operations: ['25-10=15', '95+8=103']
Exploring Operation: 15*103=1545, Resulting Numbers: [1545]
1545,45 unequal: No Solution
Exploring Operation: 103-15=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 15+103=118, Resulting Numbers: [118]
118,45 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: 45:[25, 10, 87], Operations: ['95-8=87']
Exploring Operation: 10+87=97, Resulting Numbers: [25, 97]
Generated Node #0,2,0: 45:[25, 97] Operation: 10+87=97
Exploring Operation: 25+10=35, Resulting Numbers: [87, 35]
Generated Node #0,2,1: 45:[87, 35] Operation: 25+10=35
Exploring Operation: 25-10=15, Resulting Numbers: [87, 15]
Generated Node #0,2,2: 45:[87, 15] Operation: 25-10=15
Exploring Operation: 87-25=62, Resulting Numbers: [10, 62]
Generated Node #0,2,3: 45:[10, 62] Operation: 87-25=62
Exploring Operation: 87-10=77, Resulting Numbers: [25, 77]
Generated Node #0,2,4: 45:[25, 77] Operation: 87-10=77
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[10, 62], Operations: ['95-8=87', '87-25=62']
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,45 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,45 unequal: No Solution
No 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: 45:[87, 15], Operations: ['95-8=87', '25-10=15']
Exploring Operation: 87+15=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 87*15=1305, Resulting Numbers: [1305]
1305,45 unequal: No Solution
No 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: 45:[25, 77], Operations: ['95-8=87', '87-10=77']
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 25*77=1925, Resulting Numbers: [1925]
1925,45 unequal: No Solution
Exploring Operation: 25+77=102, Resulting Numbers: [102]
102,45 unequal: No Solution
No 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: 45:[87, 35], Operations: ['95-8=87', '25+10=35']
Exploring Operation: 87*35=3045, Resulting Numbers: [3045]
3045,45 unequal: No Solution
Exploring Operation: 87+35=122, Resulting Numbers: [122]
122,45 unequal: No Solution
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,45 unequal: No Solution
No 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: 45:[25, 97], Operations: ['95-8=87', '10+87=97']
Exploring Operation: 25*97=2425, Resulting Numbers: [2425]
2425,45 unequal: No Solution
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 25+97=122, Resulting Numbers: [122]
122,45 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: 45:[95, 10, 17], Operations: ['25-8=17']
Exploring Operation: 10+17=27, Resulting Numbers: [95, 27]
Generated Node #0,3,0: 45:[95, 27] Operation: 10+17=27
Exploring Operation: 17-10=7, Resulting Numbers: [95, 7]
Generated Node #0,3,1: 45:[95, 7] Operation: 17-10=7
Exploring Operation: 95-17=78, Resulting Numbers: [10, 78]
Generated Node #0,3,2: 45:[10, 78] Operation: 95-17=78
Exploring Operation: 95-10=85, Resulting Numbers: [17, 85]
Generated Node #0,3,3: 45:[17, 85] Operation: 95-10=85
Exploring Operation: 95+10=105, Resulting Numbers: [17, 105]
Generated Node #0,3,4: 45:[17, 105] Operation: 95+10=105
Moving to Node #0,1,1
Current State: 45:[8, 7], Operations: ['95-25=70', '70/10=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Moving to Node #0,4,4
Current State: 45:[8, 60], Operations: ['95-10=85', '85-25=60']
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,45 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[8, 60], Operations: ['95-25=70', '70-10=60']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,45 unequal: No Solution
Moving to Node #0,1,4
Current State: 45:[10, 62], Operations: ['95-25=70', '70-8=62']
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,45 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[70, 2], Operations: ['95-25=70', '10-8=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,45 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[70, 18], Operations: ['95-25=70', '8+10=18']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 70*18=1260, Resulting Numbers: [1260]
1260,45 unequal: No Solution
Exploring Operation: 70+18=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[10, 78], Operations: ['25-8=17', '95-17=78']
Exploring Operation: 10+78=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 10*78=780, Resulting Numbers: [780]
780,45 unequal: No Solution
Moving to Node #0,4,1
Current State: 45:[25, 77], Operations: ['95-10=85', '85-8=77']
Exploring Operation: 25+77=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 25*77=1925, Resulting Numbers: [1925]
1925,45 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[17, 85], Operations: ['25-8=17', '95-10=85']
Exploring Operation: 85/17=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 17*85=1445, Resulting Numbers: [1445]
1445,45 unequal: No Solution
Exploring Operation: 85-17=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 17+85=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Moving to Node #0,4,2
Current State: 45:[85, 17], Operations: ['95-10=85', '25-8=17']
Exploring Operation: 85/17=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 85-17=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 85+17=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 85*17=1445, Resulting Numbers: [1445]
1445,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[95, 7], Operations: ['25-8=17', '17-10=7']
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 95*7=665, Resulting Numbers: [665]
665,45 unequal: No Solution
Exploring Operation: 95+7=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Moving to Node #0,4,3
Current State: 45:[85, 33], Operations: ['95-10=85', '25+8=33']
Exploring Operation: 85+33=118, Resulting Numbers: [118]
118,45 unequal: No Solution
Exploring Operation: 85-33=52, Resulting Numbers: [52]
52,45 unequal: No Solution
Exploring Operation: 85*33=2805, Resulting Numbers: [2805]
2805,45 unequal: No Solution
Moving to Node #0,4,0
Current State: 45:[25, 93], Operations: ['95-10=85', '8+85=93']
Exploring Operation: 25*93=2325, Resulting Numbers: [2325]
2325,45 unequal: No Solution
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 25+93=118, Resulting Numbers: [118]
118,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[95, 27], Operations: ['25-8=17', '10+17=27']
Exploring Operation: 95*27=2565, Resulting Numbers: [2565]
2565,45 unequal: No Solution
Exploring Operation: 95+27=122, Resulting Numbers: [122]
122,45 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[17, 105], Operations: ['25-8=17', '95+10=105']
Exploring Operation: 17*105=1785, Resulting Numbers: [1785]
1785,45 unequal: No Solution
Exploring Operation: 17+105=122, Resulting Numbers: [122]
122,45 unequal: No Solution
Exploring Operation: 105-17=88, Resulting Numbers: [88]
88,45 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
53,
18,
51,
72
] | 63
|
[
"53-51=2",
"18/2=9",
"72-9=63"
] |
Current State: 63:[53, 18, 51, 72], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [18, 72, 2]
Generated Node #2: [18, 72, 2] from Operation: 53-51=2
Current State: 63:[18, 72, 2], Operations: ['53-51=2']
Exploring Operation: 18/2=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 18/2=9
Current State: 63:[72, 9], Operations: ['53-51=2', '18/2=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[53, 18, 51, 72], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [18, 72, 2]
Generated Node #0,0: 63:[18, 72, 2] Operation: 53-51=2
Exploring Operation: 72-51=21, Resulting Numbers: [53, 18, 21]
Generated Node #0,1: 63:[53, 18, 21] Operation: 72-51=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[18, 72, 2], Operations: ['53-51=2']
Exploring Operation: 72/18=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 63:[2, 4] Operation: 72/18=4
Exploring Operation: 18/2=9, Resulting Numbers: [72, 9]
Generated Node #0,0,1: 63:[72, 9] Operation: 18/2=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[2, 4], Operations: ['53-51=2', '72/18=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[72, 9], Operations: ['53-51=2', '18/2=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[53, 18, 51, 72], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [18, 72, 2]
Generated Node #0,0: 63:[18, 72, 2] Operation: 53-51=2
Moving to Node #0,0
Current State: 63:[18, 72, 2], Operations: ['53-51=2']
Exploring Operation: 18/2=9, Resulting Numbers: [72, 9]
Generated Node #0,0,1: 63:[72, 9] Operation: 18/2=9
Moving to Node #0,0,1
Current State: 63:[72, 9], Operations: ['53-51=2', '18/2=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451
|
hs_2
|
sum_heuristic
|
[
3,
6,
51,
71
] | 63
|
[
"51-3=48",
"48/6=8",
"71-8=63"
] |
Current State: 63:[3, 6, 51, 71], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [6, 71, 48]
Generated Node #2: [6, 71, 48] from Operation: 51-3=48
Current State: 63:[6, 71, 48], Operations: ['51-3=48']
Exploring Operation: 48/6=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 48/6=8
Current State: 63:[71, 8], Operations: ['51-3=48', '48/6=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[3, 6, 51, 71], Operations: []
Exploring Operation: 6+51=57, Resulting Numbers: [3, 71, 57]
Generated Node #0,0: 63:[3, 71, 57] Operation: 6+51=57
Exploring Operation: 71-51=20, Resulting Numbers: [3, 6, 20]
Generated Node #0,1: 63:[3, 6, 20] Operation: 71-51=20
Exploring Operation: 51/3=17, Resulting Numbers: [6, 71, 17]
Generated Node #0,2: 63:[6, 71, 17] Operation: 51/3=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[3, 6, 20], Operations: ['71-51=20']
Exploring Operation: 3+6=9, Resulting Numbers: [20, 9]
Generated Node #0,1,0: 63:[20, 9] Operation: 3+6=9
Exploring Operation: 6-3=3, Resulting Numbers: [20, 3]
Generated Node #0,1,1: 63:[20, 3] Operation: 6-3=3
Exploring Operation: 6/3=2, Resulting Numbers: [20, 2]
Generated Node #0,1,2: 63:[20, 2] Operation: 6/3=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[20, 9], Operations: ['71-51=20', '3+6=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[20, 3], Operations: ['71-51=20', '6-3=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 63:[20, 2], Operations: ['71-51=20', '6/3=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,63 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[6, 71, 17], Operations: ['51/3=17']
Exploring Operation: 6+17=23, Resulting Numbers: [71, 23]
Generated Node #0,2,0: 63:[71, 23] Operation: 6+17=23
Exploring Operation: 71-6=65, Resulting Numbers: [17, 65]
Generated Node #0,2,1: 63:[17, 65] Operation: 71-6=65
Exploring Operation: 17-6=11, Resulting Numbers: [71, 11]
Generated Node #0,2,2: 63:[71, 11] Operation: 17-6=11
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 63:[17, 65], Operations: ['51/3=17', '71-6=65']
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,63 unequal: No Solution
Exploring Operation: 17*65=1105, Resulting Numbers: [1105]
1105,63 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 63:[71, 23], Operations: ['51/3=17', '6+17=23']
Exploring Operation: 71+23=94, Resulting Numbers: [94]
94,63 unequal: No Solution
Exploring Operation: 71*23=1633, Resulting Numbers: [1633]
1633,63 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 63:[71, 11], Operations: ['51/3=17', '17-6=11']
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,63 unequal: No Solution
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,63 unequal: No Solution
Exploring Operation: 71*11=781, Resulting Numbers: [781]
781,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[3, 71, 57], Operations: ['6+51=57']
Exploring Operation: 71-57=14, Resulting Numbers: [3, 14]
Generated Node #0,0,0: 63:[3, 14] Operation: 71-57=14
Exploring Operation: 57/3=19, Resulting Numbers: [71, 19]
Generated Node #0,0,1: 63:[71, 19] Operation: 57/3=19
Exploring Operation: 71-3=68, Resulting Numbers: [57, 68]
Generated Node #0,0,2: 63:[57, 68] Operation: 71-3=68
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[3, 14], Operations: ['6+51=57', '71-57=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,63 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,63 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[71, 19], Operations: ['6+51=57', '57/3=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,63 unequal: No Solution
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,63 unequal: No Solution
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 63:[57, 68], Operations: ['6+51=57', '71-3=68']
Exploring Operation: 57+68=125, Resulting Numbers: [125]
125,63 unequal: No Solution
Exploring Operation: 57*68=3876, Resulting Numbers: [3876]
3876,63 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
32,
14,
10,
55
] | 19
|
[
"32+14=46",
"10+55=65",
"65-46=19"
] |
Current State: 19:[32, 14, 10, 55], Operations: []
Exploring Operation: 32+14=46, Resulting Numbers: [10, 55, 46]
Generated Node #2: [10, 55, 46] from Operation: 32+14=46
Current State: 19:[10, 55, 46], Operations: ['32+14=46']
Exploring Operation: 10+55=65, Resulting Numbers: [46, 65]
Generated Node #3: [46, 65] from Operation: 10+55=65
Current State: 19:[46, 65], Operations: ['32+14=46', '10+55=65']
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[32, 14, 10, 55], Operations: []
Exploring Operation: 55-32=23, Resulting Numbers: [14, 10, 23]
Generated Node #0,0: 19:[14, 10, 23] Operation: 55-32=23
Exploring Operation: 32-10=22, Resulting Numbers: [14, 55, 22]
Generated Node #0,1: 19:[14, 55, 22] Operation: 32-10=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[14, 10, 23], Operations: ['55-32=23']
Exploring Operation: 23-10=13, Resulting Numbers: [14, 13]
Generated Node #0,0,0: 19:[14, 13] Operation: 23-10=13
Exploring Operation: 14+10=24, Resulting Numbers: [23, 24]
Generated Node #0,0,1: 19:[23, 24] Operation: 14+10=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[23, 24], Operations: ['55-32=23', '14+10=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,19 unequal: No Solution
No 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: 19:[14, 13], Operations: ['55-32=23', '23-10=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,19 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: 19:[14, 55, 22], Operations: ['32-10=22']
Exploring Operation: 55-22=33, Resulting Numbers: [14, 33]
Generated Node #0,1,0: 19:[14, 33] Operation: 55-22=33
Exploring Operation: 55-14=41, Resulting Numbers: [22, 41]
Generated Node #0,1,1: 19:[22, 41] Operation: 55-14=41
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[14, 33], Operations: ['32-10=22', '55-22=33']
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,19 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[32, 14, 10, 55], Operations: []
Exploring Operation: 32-10=22, Resulting Numbers: [14, 55, 22]
Generated Node #0,1: 19:[14, 55, 22] Operation: 32-10=22
Moving to Node #0,1
Current State: 19:[14, 55, 22], Operations: ['32-10=22']
Exploring Operation: 55-22=33, Resulting Numbers: [14, 33]
Generated Node #0,1,0: 19:[14, 33] Operation: 55-22=33
Moving to Node #0,1,0
Current State: 19:[14, 33], Operations: ['32-10=22', '55-22=33']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_2
|
sum_heuristic
|
[
89,
97,
58,
2
] | 64
|
[
"89+97=186",
"186-58=128",
"128/2=64"
] |
Current State: 64:[89, 97, 58, 2], Operations: []
Exploring Operation: 89+97=186, Resulting Numbers: [58, 2, 186]
Generated Node #2: [58, 2, 186] from Operation: 89+97=186
Current State: 64:[58, 2, 186], Operations: ['89+97=186']
Exploring Operation: 186-58=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 186-58=128
Current State: 64:[2, 128], Operations: ['89+97=186', '186-58=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[89, 97, 58, 2], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [58, 2, 8]
Generated Node #0,0: 64:[58, 2, 8] Operation: 97-89=8
Exploring Operation: 97-58=39, Resulting Numbers: [89, 2, 39]
Generated Node #0,1: 64:[89, 2, 39] Operation: 97-58=39
Exploring Operation: 89-58=31, Resulting Numbers: [97, 2, 31]
Generated Node #0,2: 64:[97, 2, 31] Operation: 89-58=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[58, 2, 8], Operations: ['97-89=8']
Exploring Operation: 58+2=60, Resulting Numbers: [8, 60]
Generated Node #0,0,0: 64:[8, 60] Operation: 58+2=60
Exploring Operation: 58/2=29, Resulting Numbers: [8, 29]
Generated Node #0,0,1: 64:[8, 29] Operation: 58/2=29
Exploring Operation: 58+8=66, Resulting Numbers: [2, 66]
Generated Node #0,0,2: 64:[2, 66] Operation: 58+8=66
Moving to Node #0,0,2
Current State: 64:[2, 66], Operations: ['97-89=8', '58+8=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[89, 97, 58, 2], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [58, 2, 8]
Generated Node #0,0: 64:[58, 2, 8] Operation: 97-89=8
Moving to Node #0,0
Current State: 64:[58, 2, 8], Operations: ['97-89=8']
Exploring Operation: 58+8=66, Resulting Numbers: [2, 66]
Generated Node #0,0,2: 64:[2, 66] Operation: 58+8=66
Moving to Node #0,0,2
Current State: 64:[2, 66], Operations: ['97-89=8', '58+8=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
mult_heuristic
|
[
80,
73,
38,
30
] | 83
|
[
"38-30=8",
"80/8=10",
"73+10=83"
] |
Current State: 83:[80, 73, 38, 30], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [80, 73, 8]
Generated Node #2: [80, 73, 8] from Operation: 38-30=8
Current State: 83:[80, 73, 8], Operations: ['38-30=8']
Exploring Operation: 80/8=10, Resulting Numbers: [73, 10]
Generated Node #3: [73, 10] from Operation: 80/8=10
Current State: 83:[73, 10], Operations: ['38-30=8', '80/8=10']
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[80, 73, 38, 30], Operations: []
Exploring Operation: 73+38=111, Resulting Numbers: [80, 30, 111]
Generated Node #0,0: 83:[80, 30, 111] Operation: 73+38=111
Exploring Operation: 80+30=110, Resulting Numbers: [73, 38, 110]
Generated Node #0,1: 83:[73, 38, 110] Operation: 80+30=110
Exploring Operation: 38+30=68, Resulting Numbers: [80, 73, 68]
Generated Node #0,2: 83:[80, 73, 68] Operation: 38+30=68
Exploring Operation: 73+30=103, Resulting Numbers: [80, 38, 103]
Generated Node #0,3: 83:[80, 38, 103] Operation: 73+30=103
Moving to Node #0,2
Current State: 83:[80, 73, 68], Operations: ['38+30=68']
Exploring Operation: 80-68=12, Resulting Numbers: [73, 12]
Generated Node #0,2,0: 83:[73, 12] Operation: 80-68=12
Exploring Operation: 73+68=141, Resulting Numbers: [80, 141]
Generated Node #0,2,1: 83:[80, 141] Operation: 73+68=141
Exploring Operation: 73-68=5, Resulting Numbers: [80, 5]
Generated Node #0,2,2: 83:[80, 5] Operation: 73-68=5
Exploring Operation: 80+68=148, Resulting Numbers: [73, 148]
Generated Node #0,2,3: 83:[73, 148] Operation: 80+68=148
Moving to Node #0,3
Current State: 83:[80, 38, 103], Operations: ['73+30=103']
Exploring Operation: 103-38=65, Resulting Numbers: [80, 65]
Generated Node #0,3,0: 83:[80, 65] Operation: 103-38=65
Exploring Operation: 80-38=42, Resulting Numbers: [103, 42]
Generated Node #0,3,1: 83:[103, 42] Operation: 80-38=42
Exploring Operation: 38+103=141, Resulting Numbers: [80, 141]
Generated Node #0,3,2: 83:[80, 141] Operation: 38+103=141
Exploring Operation: 80+38=118, Resulting Numbers: [103, 118]
Generated Node #0,3,3: 83:[103, 118] Operation: 80+38=118
Moving to Node #0,1
Current State: 83:[73, 38, 110], Operations: ['80+30=110']
Exploring Operation: 73+38=111, Resulting Numbers: [110, 111]
Generated Node #0,1,0: 83:[110, 111] Operation: 73+38=111
Exploring Operation: 38+110=148, Resulting Numbers: [73, 148]
Generated Node #0,1,1: 83:[73, 148] Operation: 38+110=148
Exploring Operation: 73-38=35, Resulting Numbers: [110, 35]
Generated Node #0,1,2: 83:[110, 35] Operation: 73-38=35
Exploring Operation: 110-38=72, Resulting Numbers: [73, 72]
Generated Node #0,1,3: 83:[73, 72] Operation: 110-38=72
Moving to Node #0,0
Current State: 83:[80, 30, 111], Operations: ['73+38=111']
Exploring Operation: 30+111=141, Resulting Numbers: [80, 141]
Generated Node #0,0,0: 83:[80, 141] Operation: 30+111=141
Exploring Operation: 80+30=110, Resulting Numbers: [111, 110]
Generated Node #0,0,1: 83:[111, 110] Operation: 80+30=110
Exploring Operation: 111-30=81, Resulting Numbers: [80, 81]
Generated Node #0,0,2: 83:[80, 81] Operation: 111-30=81
Exploring Operation: 80-30=50, Resulting Numbers: [111, 50]
Generated Node #0,0,3: 83:[111, 50] Operation: 80-30=50
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 83:[80, 81], Operations: ['73+38=111', '111-30=81']
Exploring Operation: 80*81=6480, Resulting Numbers: [6480]
6480,83 unequal: No Solution
Exploring Operation: 80+81=161, Resulting Numbers: [161]
161,83 unequal: No Solution
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[111, 110], Operations: ['73+38=111', '80+30=110']
Exploring Operation: 111*110=12210, Resulting Numbers: [12210]
12210,83 unequal: No Solution
Exploring Operation: 111-110=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 111+110=221, Resulting Numbers: [221]
221,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[80, 141], Operations: ['73+38=111', '30+111=141']
Exploring Operation: 141-80=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 80*141=11280, Resulting Numbers: [11280]
11280,83 unequal: No Solution
Exploring Operation: 80+141=221, Resulting Numbers: [221]
221,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 83:[111, 50], Operations: ['73+38=111', '80-30=50']
Exploring Operation: 111+50=161, Resulting Numbers: [161]
161,83 unequal: No Solution
Exploring Operation: 111-50=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 111*50=5550, Resulting Numbers: [5550]
5550,83 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: 83:[80, 65], Operations: ['73+30=103', '103-38=65']
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 80+65=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Exploring Operation: 80*65=5200, Resulting Numbers: [5200]
5200,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[73, 72], Operations: ['80+30=110', '110-38=72']
Exploring Operation: 73-72=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 73*72=5256, Resulting Numbers: [5256]
5256,83 unequal: No Solution
Exploring Operation: 73+72=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[103, 118], Operations: ['73+30=103', '80+38=118']
Exploring Operation: 103*118=12154, Resulting Numbers: [12154]
12154,83 unequal: No Solution
Exploring Operation: 103+118=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 118-103=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[110, 111], Operations: ['80+30=110', '73+38=111']
Exploring Operation: 111-110=1, Resulting Numbers: [1]
1,83 unequal: No Solution
Exploring Operation: 110*111=12210, Resulting Numbers: [12210]
12210,83 unequal: No Solution
Exploring Operation: 110+111=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[103, 42], Operations: ['73+30=103', '80-38=42']
Exploring Operation: 103-42=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 103+42=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Exploring Operation: 103*42=4326, Resulting Numbers: [4326]
4326,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[80, 141], Operations: ['38+30=68', '73+68=141']
Exploring Operation: 141-80=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 80+141=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 80*141=11280, Resulting Numbers: [11280]
11280,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[80, 141], Operations: ['73+30=103', '38+103=141']
Exploring Operation: 80*141=11280, Resulting Numbers: [11280]
11280,83 unequal: No Solution
Exploring Operation: 141-80=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 80+141=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[110, 35], Operations: ['80+30=110', '73-38=35']
Exploring Operation: 110+35=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Exploring Operation: 110-35=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 110*35=3850, Resulting Numbers: [3850]
3850,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[73, 148], Operations: ['38+30=68', '80+68=148']
Exploring Operation: 73*148=10804, Resulting Numbers: [10804]
10804,83 unequal: No Solution
Exploring Operation: 148-73=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 73+148=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[73, 148], Operations: ['80+30=110', '38+110=148']
Exploring Operation: 73*148=10804, Resulting Numbers: [10804]
10804,83 unequal: No Solution
Exploring Operation: 73+148=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 148-73=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[80, 5], Operations: ['38+30=68', '73-68=5']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 80*5=400, Resulting Numbers: [400]
400,83 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,83 unequal: No Solution
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[73, 12], Operations: ['38+30=68', '80-68=12']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,83 unequal: No Solution
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,83 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
88,
88,
46,
15
] | 46
|
[
"88-88=0",
"15*0=0",
"46+0=46"
] |
Current State: 46:[88, 88, 46, 15], Operations: []
Exploring Operation: 88-88=0, Resulting Numbers: [46, 15, 0]
Generated Node #2: [46, 15, 0] from Operation: 88-88=0
Current State: 46:[46, 15, 0], Operations: ['88-88=0']
Exploring Operation: 15*0=0, Resulting Numbers: [46, 0]
Generated Node #3: [46, 0] from Operation: 15*0=0
Current State: 46:[46, 0], Operations: ['88-88=0', '15*0=0']
Exploring Operation: 46+0=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[88, 88, 46, 15], Operations: []
Exploring Operation: 88/88=1, Resulting Numbers: [46, 15, 1]
Generated Node #0,0: 46:[46, 15, 1] Operation: 88/88=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[46, 15, 1], Operations: ['88/88=1']
Exploring Operation: 15+1=16, Resulting Numbers: [46, 16]
Generated Node #0,0,0: 46:[46, 16] Operation: 15+1=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[46, 16], Operations: ['88/88=1', '15+1=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
64,
27,
62,
96
] | 67
|
[
"64+27=91",
"62+96=158",
"158-91=67"
] |
Current State: 67:[64, 27, 62, 96], Operations: []
Exploring Operation: 64+27=91, Resulting Numbers: [62, 96, 91]
Generated Node #2: [62, 96, 91] from Operation: 64+27=91
Current State: 67:[62, 96, 91], Operations: ['64+27=91']
Exploring Operation: 62+96=158, Resulting Numbers: [91, 158]
Generated Node #3: [91, 158] from Operation: 62+96=158
Current State: 67:[91, 158], Operations: ['64+27=91', '62+96=158']
Exploring Operation: 158-91=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[64, 27, 62, 96], Operations: []
Exploring Operation: 64+27=91, Resulting Numbers: [62, 96, 91]
Generated Node #0,0: 67:[62, 96, 91] Operation: 64+27=91
Exploring Operation: 27+62=89, Resulting Numbers: [64, 96, 89]
Generated Node #0,1: 67:[64, 96, 89] Operation: 27+62=89
Exploring Operation: 96-27=69, Resulting Numbers: [64, 62, 69]
Generated Node #0,2: 67:[64, 62, 69] Operation: 96-27=69
Moving to Node #0,2
Current State: 67:[64, 62, 69], Operations: ['96-27=69']
Exploring Operation: 64-62=2, Resulting Numbers: [69, 2]
Generated Node #0,2,0: 67:[69, 2] Operation: 64-62=2
Exploring Operation: 64+62=126, Resulting Numbers: [69, 126]
Generated Node #0,2,1: 67:[69, 126] Operation: 64+62=126
Exploring Operation: 69-62=7, Resulting Numbers: [64, 7]
Generated Node #0,2,2: 67:[64, 7] Operation: 69-62=7
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[69, 126], Operations: ['96-27=69', '64+62=126']
Exploring Operation: 69+126=195, Resulting Numbers: [195]
195,67 unequal: No Solution
Exploring Operation: 69*126=8694, Resulting Numbers: [8694]
8694,67 unequal: No Solution
Exploring Operation: 126-69=57, Resulting Numbers: [57]
57,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[64, 7], Operations: ['96-27=69', '69-62=7']
Exploring Operation: 64+7=71, Resulting Numbers: [71]
71,67 unequal: No Solution
Exploring Operation: 64*7=448, Resulting Numbers: [448]
448,67 unequal: No Solution
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[69, 2], Operations: ['96-27=69', '64-62=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[64, 27, 62, 96], Operations: []
Exploring Operation: 96-27=69, Resulting Numbers: [64, 62, 69]
Generated Node #0,2: 67:[64, 62, 69] Operation: 96-27=69
Moving to Node #0,2
Current State: 67:[64, 62, 69], Operations: ['96-27=69']
Exploring Operation: 64-62=2, Resulting Numbers: [69, 2]
Generated Node #0,2,0: 67:[69, 2] Operation: 64-62=2
Moving to Node #0,2,0
Current State: 67:[69, 2], Operations: ['96-27=69', '64-62=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_3
|
sum_heuristic
|
[
59,
65,
71,
66
] | 42
|
[
"66-59=7",
"71-65=6",
"7*6=42"
] |
Current State: 42:[59, 65, 71, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [65, 71, 7]
Generated Node #2: [65, 71, 7] from Operation: 66-59=7
Current State: 42:[65, 71, 7], Operations: ['66-59=7']
Exploring Operation: 71-65=6, Resulting Numbers: [7, 6]
Generated Node #3: [7, 6] from Operation: 71-65=6
Current State: 42:[7, 6], Operations: ['66-59=7', '71-65=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
Current State: 42:[59, 65, 71, 66], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [59, 66, 6]
Generated Node #0,0: 42:[59, 66, 6] Operation: 71-65=6
Exploring Operation: 71-66=5, Resulting Numbers: [59, 65, 5]
Generated Node #0,1: 42:[59, 65, 5] Operation: 71-66=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[59, 66, 6], Operations: ['71-65=6']
Exploring Operation: 66-59=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 42:[6, 7] Operation: 66-59=7
Exploring Operation: 66/6=11, Resulting Numbers: [59, 11]
Generated Node #0,0,1: 42:[59, 11] Operation: 66/6=11
Moving to Node #0,0,0
Current State: 42:[6, 7], Operations: ['71-65=6', '66-59=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[59, 65, 71, 66], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [59, 66, 6]
Generated Node #0,0: 42:[59, 66, 6] Operation: 71-65=6
Moving to Node #0,0
Current State: 42:[59, 66, 6], Operations: ['71-65=6']
Exploring Operation: 66-59=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 42:[6, 7] Operation: 66-59=7
Moving to Node #0,0,0
Current State: 42:[6, 7], Operations: ['71-65=6', '66-59=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
44,
80,
96,
18
] | 46
|
[
"44+80=124",
"96-18=78",
"124-78=46"
] |
Current State: 46:[44, 80, 96, 18], Operations: []
Exploring Operation: 44+80=124, Resulting Numbers: [96, 18, 124]
Generated Node #2: [96, 18, 124] from Operation: 44+80=124
Current State: 46:[96, 18, 124], Operations: ['44+80=124']
Exploring Operation: 96-18=78, Resulting Numbers: [124, 78]
Generated Node #3: [124, 78] from Operation: 96-18=78
Current State: 46:[124, 78], Operations: ['44+80=124', '96-18=78']
Exploring Operation: 124-78=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[44, 80, 96, 18], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [44, 18, 16]
Generated Node #0,0: 46:[44, 18, 16] Operation: 96-80=16
Exploring Operation: 80-44=36, Resulting Numbers: [96, 18, 36]
Generated Node #0,1: 46:[96, 18, 36] Operation: 80-44=36
Exploring Operation: 96-44=52, Resulting Numbers: [80, 18, 52]
Generated Node #0,2: 46:[80, 18, 52] Operation: 96-44=52
Exploring Operation: 80-18=62, Resulting Numbers: [44, 96, 62]
Generated Node #0,3: 46:[44, 96, 62] Operation: 80-18=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[44, 18, 16], Operations: ['96-80=16']
Exploring Operation: 44-16=28, Resulting Numbers: [18, 28]
Generated Node #0,0,0: 46:[18, 28] Operation: 44-16=28
Exploring Operation: 18+16=34, Resulting Numbers: [44, 34]
Generated Node #0,0,1: 46:[44, 34] Operation: 18+16=34
Exploring Operation: 18-16=2, Resulting Numbers: [44, 2]
Generated Node #0,0,2: 46:[44, 2] Operation: 18-16=2
Exploring Operation: 44-18=26, Resulting Numbers: [16, 26]
Generated Node #0,0,3: 46:[16, 26] Operation: 44-18=26
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[44, 2], Operations: ['96-80=16', '18-16=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[44, 80, 96, 18], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [44, 18, 16]
Generated Node #0,0: 46:[44, 18, 16] Operation: 96-80=16
Moving to Node #0,0
Current State: 46:[44, 18, 16], Operations: ['96-80=16']
Exploring Operation: 18-16=2, Resulting Numbers: [44, 2]
Generated Node #0,0,2: 46:[44, 2] Operation: 18-16=2
Moving to Node #0,0,2
Current State: 46:[44, 2], Operations: ['96-80=16', '18-16=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_4
|
sum_heuristic
|
[
75,
71,
16,
53
] | 57
|
[
"75-71=4",
"16/4=4",
"53+4=57"
] |
Current State: 57:[75, 71, 16, 53], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [16, 53, 4]
Generated Node #2: [16, 53, 4] from Operation: 75-71=4
Current State: 57:[16, 53, 4], Operations: ['75-71=4']
Exploring Operation: 16/4=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 16/4=4
Current State: 57:[53, 4], Operations: ['75-71=4', '16/4=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[75, 71, 16, 53], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [16, 53, 4]
Generated Node #0,0: 57:[16, 53, 4] Operation: 75-71=4
Exploring Operation: 75-16=59, Resulting Numbers: [71, 53, 59]
Generated Node #0,1: 57:[71, 53, 59] Operation: 75-16=59
Moving to Node #0,0
Current State: 57:[16, 53, 4], Operations: ['75-71=4']
Exploring Operation: 53+4=57, Resulting Numbers: [16, 57]
Generated Node #0,0,0: 57:[16, 57] Operation: 53+4=57
Exploring Operation: 16+4=20, Resulting Numbers: [53, 20]
Generated Node #0,0,1: 57:[53, 20] Operation: 16+4=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 57:[16, 57], Operations: ['75-71=4', '53+4=57']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 57:[53, 20], Operations: ['75-71=4', '16+4=20']
Exploring Operation: 53+20=73, Resulting Numbers: [73]
73,57 unequal: No Solution
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 57:[71, 53, 59], Operations: ['75-16=59']
Exploring Operation: 71-59=12, Resulting Numbers: [53, 12]
Generated Node #0,1,0: 57:[53, 12] Operation: 71-59=12
Exploring Operation: 71-53=18, Resulting Numbers: [59, 18]
Generated Node #0,1,1: 57:[59, 18] Operation: 71-53=18
Moving to Node #0,1,1
Current State: 57:[59, 18], Operations: ['75-16=59', '71-53=18']
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,57 unequal: No Solution
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[53, 12], Operations: ['75-16=59', '71-59=12']
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,57 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
96,
40,
36,
46
] | 45
|
[
"96-46=50",
"36*50=1800",
"1800/40=45"
] |
Current State: 45:[96, 40, 36, 46], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [40, 36, 50]
Generated Node #2: [40, 36, 50] from Operation: 96-46=50
Current State: 45:[40, 36, 50], Operations: ['96-46=50']
Exploring Operation: 36*50=1800, Resulting Numbers: [40, 1800]
Generated Node #3: [40, 1800] from Operation: 36*50=1800
Current State: 45:[40, 1800], Operations: ['96-46=50', '36*50=1800']
Exploring Operation: 1800/40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[96, 40, 36, 46], Operations: []
Exploring Operation: 96-40=56, Resulting Numbers: [36, 46, 56]
Generated Node #0,0: 45:[36, 46, 56] Operation: 96-40=56
Exploring Operation: 40-36=4, Resulting Numbers: [96, 46, 4]
Generated Node #0,1: 45:[96, 46, 4] Operation: 40-36=4
Exploring Operation: 46-36=10, Resulting Numbers: [96, 40, 10]
Generated Node #0,2: 45:[96, 40, 10] Operation: 46-36=10
Exploring Operation: 96-46=50, Resulting Numbers: [40, 36, 50]
Generated Node #0,3: 45:[40, 36, 50] Operation: 96-46=50
Exploring Operation: 96-36=60, Resulting Numbers: [40, 46, 60]
Generated Node #0,4: 45:[40, 46, 60] Operation: 96-36=60
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[40, 36, 50], Operations: ['96-46=50']
Exploring Operation: 50-36=14, Resulting Numbers: [40, 14]
Generated Node #0,3,0: 45:[40, 14] Operation: 50-36=14
Exploring Operation: 50-40=10, Resulting Numbers: [36, 10]
Generated Node #0,3,1: 45:[36, 10] Operation: 50-40=10
Exploring Operation: 40+36=76, Resulting Numbers: [50, 76]
Generated Node #0,3,2: 45:[50, 76] Operation: 40+36=76
Exploring Operation: 40-36=4, Resulting Numbers: [50, 4]
Generated Node #0,3,3: 45:[50, 4] Operation: 40-36=4
Exploring Operation: 36+50=86, Resulting Numbers: [40, 86]
Generated Node #0,3,4: 45:[40, 86] Operation: 36+50=86
Moving to Node #0,3,0
Current State: 45:[40, 14], Operations: ['96-46=50', '50-36=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,45 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[50, 4], Operations: ['96-46=50', '40-36=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 50*4=200, Resulting Numbers: [200]
200,45 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[36, 10], Operations: ['96-46=50', '50-40=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,45 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[50, 76], Operations: ['96-46=50', '40+36=76']
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 50+76=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 50*76=3800, Resulting Numbers: [3800]
3800,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[40, 86], Operations: ['96-46=50', '36+50=86']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,45 unequal: No Solution
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,45 unequal: No Solution
No 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: 45:[36, 46, 56], Operations: ['96-40=56']
Exploring Operation: 56-36=20, Resulting Numbers: [46, 20]
Generated Node #0,0,0: 45:[46, 20] Operation: 56-36=20
Exploring Operation: 36+46=82, Resulting Numbers: [56, 82]
Generated Node #0,0,1: 45:[56, 82] Operation: 36+46=82
Exploring Operation: 56-46=10, Resulting Numbers: [36, 10]
Generated Node #0,0,2: 45:[36, 10] Operation: 56-46=10
Exploring Operation: 46-36=10, Resulting Numbers: [56, 10]
Generated Node #0,0,3: 45:[56, 10] Operation: 46-36=10
Exploring Operation: 36+56=92, Resulting Numbers: [46, 92]
Generated Node #0,0,4: 45:[46, 92] Operation: 36+56=92
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[46, 20], Operations: ['96-40=56', '56-36=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 45:[36, 10], Operations: ['96-40=56', '56-46=10']
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,45 unequal: No Solution
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 45:[56, 10], Operations: ['96-40=56', '46-36=10']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 56*10=560, Resulting Numbers: [560]
560,45 unequal: No Solution
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[56, 82], Operations: ['96-40=56', '36+46=82']
Exploring Operation: 56*82=4592, Resulting Numbers: [4592]
4592,45 unequal: No Solution
Exploring Operation: 56+82=138, Resulting Numbers: [138]
138,45 unequal: No Solution
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 45:[46, 92], Operations: ['96-40=56', '36+56=92']
Exploring Operation: 92/46=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Exploring Operation: 46*92=4232, Resulting Numbers: [4232]
4232,45 unequal: No Solution
Exploring Operation: 92-46=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 46+92=138, Resulting Numbers: [138]
138,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 45:[40, 46, 60], Operations: ['96-36=60']
Exploring Operation: 60-40=20, Resulting Numbers: [46, 20]
Generated Node #0,4,0: 45:[46, 20] Operation: 60-40=20
Exploring Operation: 60-46=14, Resulting Numbers: [40, 14]
Generated Node #0,4,1: 45:[40, 14] Operation: 60-46=14
Exploring Operation: 46-40=6, Resulting Numbers: [60, 6]
Generated Node #0,4,2: 45:[60, 6] Operation: 46-40=6
Exploring Operation: 40+46=86, Resulting Numbers: [60, 86]
Generated Node #0,4,3: 45:[60, 86] Operation: 40+46=86
Exploring Operation: 40+60=100, Resulting Numbers: [46, 100]
Generated Node #0,4,4: 45:[46, 100] Operation: 40+60=100
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 45:[46, 20], Operations: ['96-36=60', '60-40=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,45 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 45:[40, 14], Operations: ['96-36=60', '60-46=14']
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 45:[60, 6], Operations: ['96-36=60', '46-40=6']
Exploring Operation: 60*6=360, Resulting Numbers: [360]
360,45 unequal: No Solution
Exploring Operation: 60+6=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 45:[60, 86], Operations: ['96-36=60', '40+46=86']
Exploring Operation: 60*86=5160, Resulting Numbers: [5160]
5160,45 unequal: No Solution
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,45 unequal: No Solution
Exploring Operation: 60+86=146, Resulting Numbers: [146]
146,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 45:[46, 100], Operations: ['96-36=60', '40+60=100']
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 46+100=146, Resulting Numbers: [146]
146,45 unequal: No Solution
Exploring Operation: 46*100=4600, Resulting Numbers: [4600]
4600,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[96, 46, 4], Operations: ['40-36=4']
Exploring Operation: 96+4=100, Resulting Numbers: [46, 100]
Generated Node #0,1,0: 45:[46, 100] Operation: 96+4=100
Exploring Operation: 96-46=50, Resulting Numbers: [4, 50]
Generated Node #0,1,1: 45:[4, 50] Operation: 96-46=50
Exploring Operation: 96/4=24, Resulting Numbers: [46, 24]
Generated Node #0,1,2: 45:[46, 24] Operation: 96/4=24
Exploring Operation: 46-4=42, Resulting Numbers: [96, 42]
Generated Node #0,1,3: 45:[96, 42] Operation: 46-4=42
Exploring Operation: 96-4=92, Resulting Numbers: [46, 92]
Generated Node #0,1,4: 45:[46, 92] Operation: 96-4=92
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 45:[4, 50], Operations: ['40-36=4', '96-46=50']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,45 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 45:[46, 24], Operations: ['40-36=4', '96/4=24']
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,45 unequal: No Solution
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,45 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 45:[46, 92], Operations: ['40-36=4', '96-4=92']
Exploring Operation: 46+92=138, Resulting Numbers: [138]
138,45 unequal: No Solution
Exploring Operation: 92-46=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 46*92=4232, Resulting Numbers: [4232]
4232,45 unequal: No Solution
Exploring Operation: 92/46=2, Resulting Numbers: [2]
2,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 45:[96, 42], Operations: ['40-36=4', '46-4=42']
Exploring Operation: 96+42=138, Resulting Numbers: [138]
138,45 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 96*42=4032, Resulting Numbers: [4032]
4032,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[46, 100], Operations: ['40-36=4', '96+4=100']
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 46+100=146, Resulting Numbers: [146]
146,45 unequal: No Solution
Exploring Operation: 46*100=4600, Resulting Numbers: [4600]
4600,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[96, 40, 10], Operations: ['46-36=10']
Exploring Operation: 40+10=50, Resulting Numbers: [96, 50]
Generated Node #0,2,0: 45:[96, 50] Operation: 40+10=50
Exploring Operation: 96+10=106, Resulting Numbers: [40, 106]
Generated Node #0,2,1: 45:[40, 106] Operation: 96+10=106
Exploring Operation: 40/10=4, Resulting Numbers: [96, 4]
Generated Node #0,2,2: 45:[96, 4] Operation: 40/10=4
Exploring Operation: 96-40=56, Resulting Numbers: [10, 56]
Generated Node #0,2,3: 45:[10, 56] Operation: 96-40=56
Exploring Operation: 96-10=86, Resulting Numbers: [40, 86]
Generated Node #0,2,4: 45:[40, 86] Operation: 96-10=86
Moving to Node #0,2,3
Current State: 45:[10, 56], Operations: ['46-36=10', '96-40=56']
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,45 unequal: No Solution
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,2,4
Current State: 45:[40, 86], Operations: ['46-36=10', '96-10=86']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,45 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[96, 4], Operations: ['46-36=10', '40/10=4']
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,45 unequal: No Solution
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,45 unequal: No Solution
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[96, 50], Operations: ['46-36=10', '40+10=50']
Exploring Operation: 96+50=146, Resulting Numbers: [146]
146,45 unequal: No Solution
Exploring Operation: 96*50=4800, Resulting Numbers: [4800]
4800,45 unequal: No Solution
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[40, 106], Operations: ['46-36=10', '96+10=106']
Exploring Operation: 40+106=146, Resulting Numbers: [146]
146,45 unequal: No Solution
Exploring Operation: 106-40=66, Resulting Numbers: [66]
66,45 unequal: No Solution
Exploring Operation: 40*106=4240, Resulting Numbers: [4240]
4240,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
57,
62,
20,
50
] | 49
|
[
"57+62=119",
"20+50=70",
"119-70=49"
] |
Current State: 49:[57, 62, 20, 50], Operations: []
Exploring Operation: 57+62=119, Resulting Numbers: [20, 50, 119]
Generated Node #2: [20, 50, 119] from Operation: 57+62=119
Current State: 49:[20, 50, 119], Operations: ['57+62=119']
Exploring Operation: 20+50=70, Resulting Numbers: [119, 70]
Generated Node #3: [119, 70] from Operation: 20+50=70
Current State: 49:[119, 70], Operations: ['57+62=119', '20+50=70']
Exploring Operation: 119-70=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[57, 62, 20, 50], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [20, 50, 5]
Generated Node #0,0: 49:[20, 50, 5] Operation: 62-57=5
Exploring Operation: 62-20=42, Resulting Numbers: [57, 50, 42]
Generated Node #0,1: 49:[57, 50, 42] Operation: 62-20=42
Moving to Node #0,0
Current State: 49:[20, 50, 5], Operations: ['62-57=5']
Exploring Operation: 20-5=15, Resulting Numbers: [50, 15]
Generated Node #0,0,0: 49:[50, 15] Operation: 20-5=15
Exploring Operation: 20/5=4, Resulting Numbers: [50, 4]
Generated Node #0,0,1: 49:[50, 4] Operation: 20/5=4
Moving to Node #0,1
Current State: 49:[57, 50, 42], Operations: ['62-20=42']
Exploring Operation: 57-50=7, Resulting Numbers: [42, 7]
Generated Node #0,1,0: 49:[42, 7] Operation: 57-50=7
Exploring Operation: 57-42=15, Resulting Numbers: [50, 15]
Generated Node #0,1,1: 49:[50, 15] Operation: 57-42=15
Moving to Node #0,0,1
Current State: 49:[50, 4], Operations: ['62-57=5', '20/5=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[42, 7], Operations: ['62-20=42', '57-50=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[57, 62, 20, 50], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [57, 50, 42]
Generated Node #0,1: 49:[57, 50, 42] Operation: 62-20=42
Moving to Node #0,1
Current State: 49:[57, 50, 42], Operations: ['62-20=42']
Exploring Operation: 57-50=7, Resulting Numbers: [42, 7]
Generated Node #0,1,0: 49:[42, 7] Operation: 57-50=7
Moving to Node #0,1,0
Current State: 49:[42, 7], Operations: ['62-20=42', '57-50=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.988715
|
hs_2
|
sum_heuristic
|
[
96,
48,
6,
75
] | 63
|
[
"96+48=144",
"6+75=81",
"144-81=63"
] |
Current State: 63:[96, 48, 6, 75], Operations: []
Exploring Operation: 96+48=144, Resulting Numbers: [6, 75, 144]
Generated Node #2: [6, 75, 144] from Operation: 96+48=144
Current State: 63:[6, 75, 144], Operations: ['96+48=144']
Exploring Operation: 6+75=81, Resulting Numbers: [144, 81]
Generated Node #3: [144, 81] from Operation: 6+75=81
Current State: 63:[144, 81], Operations: ['96+48=144', '6+75=81']
Exploring Operation: 144-81=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[96, 48, 6, 75], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [48, 6, 21]
Generated Node #0,0: 63:[48, 6, 21] Operation: 96-75=21
Exploring Operation: 96/48=2, Resulting Numbers: [6, 75, 2]
Generated Node #0,1: 63:[6, 75, 2] Operation: 96/48=2
Exploring Operation: 96-48=48, Resulting Numbers: [6, 75, 48]
Generated Node #0,2: 63:[6, 75, 48] Operation: 96-48=48
Exploring Operation: 96/6=16, Resulting Numbers: [48, 75, 16]
Generated Node #0,3: 63:[48, 75, 16] Operation: 96/6=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[6, 75, 2], Operations: ['96/48=2']
Exploring Operation: 6/2=3, Resulting Numbers: [75, 3]
Generated Node #0,1,0: 63:[75, 3] Operation: 6/2=3
Exploring Operation: 6+2=8, Resulting Numbers: [75, 8]
Generated Node #0,1,1: 63:[75, 8] Operation: 6+2=8
Exploring Operation: 75-2=73, Resulting Numbers: [6, 73]
Generated Node #0,1,2: 63:[6, 73] Operation: 75-2=73
Exploring Operation: 75-6=69, Resulting Numbers: [2, 69]
Generated Node #0,1,3: 63:[2, 69] Operation: 75-6=69
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 63:[2, 69], Operations: ['96/48=2', '75-6=69']
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,63 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,63 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 63:[6, 73], Operations: ['96/48=2', '75-2=73']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,63 unequal: No Solution
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,63 unequal: No Solution
Exploring Operation: 6*73=438, Resulting Numbers: [438]
438,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[75, 3], Operations: ['96/48=2', '6/2=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Exploring Operation: 75*3=225, Resulting Numbers: [225]
225,63 unequal: No Solution
Exploring Operation: 75+3=78, Resulting Numbers: [78]
78,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[75, 8], Operations: ['96/48=2', '6+2=8']
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,63 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,63 unequal: No Solution
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[48, 6, 21], Operations: ['96-75=21']
Exploring Operation: 48/6=8, Resulting Numbers: [21, 8]
Generated Node #0,0,0: 63:[21, 8] Operation: 48/6=8
Exploring Operation: 48+21=69, Resulting Numbers: [6, 69]
Generated Node #0,0,1: 63:[6, 69] Operation: 48+21=69
Exploring Operation: 48-21=27, Resulting Numbers: [6, 27]
Generated Node #0,0,2: 63:[6, 27] Operation: 48-21=27
Exploring Operation: 48+6=54, Resulting Numbers: [21, 54]
Generated Node #0,0,3: 63:[21, 54] Operation: 48+6=54
Moving to Node #0,0,0
Current State: 63:[21, 8], Operations: ['96-75=21', '48/6=8']
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,63 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,63 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Moving to Node #0,0,2
Current State: 63:[6, 27], Operations: ['96-75=21', '48-21=27']
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,63 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,63 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[6, 69], Operations: ['96-75=21', '48+21=69']
Exploring Operation: 6*69=414, Resulting Numbers: [414]
414,63 unequal: No Solution
Exploring Operation: 6+69=75, Resulting Numbers: [75]
75,63 unequal: No Solution
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[96, 48, 6, 75], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [48, 6, 21]
Generated Node #0,0: 63:[48, 6, 21] Operation: 96-75=21
Moving to Node #0,0
Current State: 63:[48, 6, 21], Operations: ['96-75=21']
Exploring Operation: 48+21=69, Resulting Numbers: [6, 69]
Generated Node #0,0,1: 63:[6, 69] Operation: 48+21=69
Moving to Node #0,0,1
Current State: 63:[6, 69], Operations: ['96-75=21', '48+21=69']
Exploring Operation: 69-6=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014
|
hs_4
|
mult_heuristic
|
[
57,
59,
47,
32
] | 81
|
[
"59-57=2",
"47+32=79",
"2+79=81"
] |
Current State: 81:[57, 59, 47, 32], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [47, 32, 2]
Generated Node #2: [47, 32, 2] from Operation: 59-57=2
Current State: 81:[47, 32, 2], Operations: ['59-57=2']
Exploring Operation: 47+32=79, Resulting Numbers: [2, 79]
Generated Node #3: [2, 79] from Operation: 47+32=79
Current State: 81:[2, 79], Operations: ['59-57=2', '47+32=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[57, 59, 47, 32], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [47, 32, 2]
Generated Node #0,0: 81:[47, 32, 2] Operation: 59-57=2
Exploring Operation: 57-47=10, Resulting Numbers: [59, 32, 10]
Generated Node #0,1: 81:[59, 32, 10] Operation: 57-47=10
Moving to Node #0,0
Current State: 81:[47, 32, 2], Operations: ['59-57=2']
Exploring Operation: 47+32=79, Resulting Numbers: [2, 79]
Generated Node #0,0,0: 81:[2, 79] Operation: 47+32=79
Exploring Operation: 47-32=15, Resulting Numbers: [2, 15]
Generated Node #0,0,1: 81:[2, 15] Operation: 47-32=15
Moving to Node #0,1
Current State: 81:[59, 32, 10], Operations: ['57-47=10']
Exploring Operation: 59+32=91, Resulting Numbers: [10, 91]
Generated Node #0,1,0: 81:[10, 91] Operation: 59+32=91
Exploring Operation: 59-32=27, Resulting Numbers: [10, 27]
Generated Node #0,1,1: 81:[10, 27] Operation: 59-32=27
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[10, 27], Operations: ['57-47=10', '59-32=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[10, 91], Operations: ['57-47=10', '59+32=91']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[57, 59, 47, 32], Operations: []
Exploring Operation: 57-47=10, Resulting Numbers: [59, 32, 10]
Generated Node #0,1: 81:[59, 32, 10] Operation: 57-47=10
Moving to Node #0,1
Current State: 81:[59, 32, 10], Operations: ['57-47=10']
Exploring Operation: 59+32=91, Resulting Numbers: [10, 91]
Generated Node #0,1,0: 81:[10, 91] Operation: 59+32=91
Moving to Node #0,1,0
Current State: 81:[10, 91], Operations: ['57-47=10', '59+32=91']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_2
|
sum_heuristic
|
[
56,
90,
11,
17
] | 92
|
[
"11+17=28",
"56/28=2",
"90+2=92"
] |
Current State: 92:[56, 90, 11, 17], Operations: []
Exploring Operation: 11+17=28, Resulting Numbers: [56, 90, 28]
Generated Node #2: [56, 90, 28] from Operation: 11+17=28
Current State: 92:[56, 90, 28], Operations: ['11+17=28']
Exploring Operation: 56/28=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 56/28=2
Current State: 92:[90, 2], Operations: ['11+17=28', '56/28=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[56, 90, 11, 17], Operations: []
Exploring Operation: 90-56=34, Resulting Numbers: [11, 17, 34]
Generated Node #0,0: 92:[11, 17, 34] Operation: 90-56=34
Exploring Operation: 56-17=39, Resulting Numbers: [90, 11, 39]
Generated Node #0,1: 92:[90, 11, 39] Operation: 56-17=39
Exploring Operation: 17-11=6, Resulting Numbers: [56, 90, 6]
Generated Node #0,2: 92:[56, 90, 6] Operation: 17-11=6
Exploring Operation: 11+17=28, Resulting Numbers: [56, 90, 28]
Generated Node #0,3: 92:[56, 90, 28] Operation: 11+17=28
Exploring Operation: 56-11=45, Resulting Numbers: [90, 17, 45]
Generated Node #0,4: 92:[90, 17, 45] Operation: 56-11=45
Moving to Node #0,4
Current State: 92:[90, 17, 45], Operations: ['56-11=45']
Exploring Operation: 45-17=28, Resulting Numbers: [90, 28]
Generated Node #0,4,0: 92:[90, 28] Operation: 45-17=28
Exploring Operation: 17+45=62, Resulting Numbers: [90, 62]
Generated Node #0,4,1: 92:[90, 62] Operation: 17+45=62
Exploring Operation: 90/45=2, Resulting Numbers: [17, 2]
Generated Node #0,4,2: 92:[17, 2] Operation: 90/45=2
Exploring Operation: 90-45=45, Resulting Numbers: [17, 45]
Generated Node #0,4,3: 92:[17, 45] Operation: 90-45=45
Exploring Operation: 90+17=107, Resulting Numbers: [45, 107]
Generated Node #0,4,4: 92:[45, 107] Operation: 90+17=107
Moving to Node #0,2
Current State: 92:[56, 90, 6], Operations: ['17-11=6']
Exploring Operation: 90+6=96, Resulting Numbers: [56, 96]
Generated Node #0,2,0: 92:[56, 96] Operation: 90+6=96
Exploring Operation: 56+6=62, Resulting Numbers: [90, 62]
Generated Node #0,2,1: 92:[90, 62] Operation: 56+6=62
Exploring Operation: 56-6=50, Resulting Numbers: [90, 50]
Generated Node #0,2,2: 92:[90, 50] Operation: 56-6=50
Exploring Operation: 90-56=34, Resulting Numbers: [6, 34]
Generated Node #0,2,3: 92:[6, 34] Operation: 90-56=34
Exploring Operation: 90-6=84, Resulting Numbers: [56, 84]
Generated Node #0,2,4: 92:[56, 84] Operation: 90-6=84
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[90, 50], Operations: ['17-11=6', '56-6=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 90*50=4500, Resulting Numbers: [4500]
4500,92 unequal: No Solution
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 92:[6, 34], Operations: ['17-11=6', '90-56=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[56, 96], Operations: ['17-11=6', '90+6=96']
Exploring Operation: 96-56=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 56+96=152, Resulting Numbers: [152]
152,92 unequal: No Solution
Exploring Operation: 56*96=5376, Resulting Numbers: [5376]
5376,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 92:[90, 62], Operations: ['17-11=6', '56+6=62']
Exploring Operation: 90*62=5580, Resulting Numbers: [5580]
5580,92 unequal: No Solution
Exploring Operation: 90-62=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 90+62=152, Resulting Numbers: [152]
152,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 92:[56, 84], Operations: ['17-11=6', '90-6=84']
Exploring Operation: 56*84=4704, Resulting Numbers: [4704]
4704,92 unequal: No Solution
Exploring Operation: 56+84=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,92 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: 92:[90, 11, 39], Operations: ['56-17=39']
Exploring Operation: 90+11=101, Resulting Numbers: [39, 101]
Generated Node #0,1,0: 92:[39, 101] Operation: 90+11=101
Exploring Operation: 90-39=51, Resulting Numbers: [11, 51]
Generated Node #0,1,1: 92:[11, 51] Operation: 90-39=51
Exploring Operation: 90-11=79, Resulting Numbers: [39, 79]
Generated Node #0,1,2: 92:[39, 79] Operation: 90-11=79
Exploring Operation: 11+39=50, Resulting Numbers: [90, 50]
Generated Node #0,1,3: 92:[90, 50] Operation: 11+39=50
Exploring Operation: 39-11=28, Resulting Numbers: [90, 28]
Generated Node #0,1,4: 92:[90, 28] Operation: 39-11=28
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[90, 50], Operations: ['56-17=39', '11+39=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Exploring Operation: 90*50=4500, Resulting Numbers: [4500]
4500,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 92:[90, 28], Operations: ['56-17=39', '39-11=28']
Exploring Operation: 90*28=2520, Resulting Numbers: [2520]
2520,92 unequal: No Solution
Exploring Operation: 90+28=118, Resulting Numbers: [118]
118,92 unequal: No Solution
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 92:[11, 51], Operations: ['56-17=39', '90-39=51']
Exploring Operation: 11*51=561, Resulting Numbers: [561]
561,92 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 92:[39, 101], Operations: ['56-17=39', '90+11=101']
Exploring Operation: 39+101=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Exploring Operation: 39*101=3939, Resulting Numbers: [3939]
3939,92 unequal: No Solution
Exploring Operation: 101-39=62, Resulting Numbers: [62]
62,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 92:[39, 79], Operations: ['56-17=39', '90-11=79']
Exploring Operation: 39+79=118, Resulting Numbers: [118]
118,92 unequal: No Solution
Exploring Operation: 39*79=3081, Resulting Numbers: [3081]
3081,92 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,92 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: 92:[56, 90, 28], Operations: ['11+17=28']
Exploring Operation: 90-56=34, Resulting Numbers: [28, 34]
Generated Node #0,3,0: 92:[28, 34] Operation: 90-56=34
Exploring Operation: 56/28=2, Resulting Numbers: [90, 2]
Generated Node #0,3,1: 92:[90, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [90, 28]
Generated Node #0,3,2: 92:[90, 28] Operation: 56-28=28
Exploring Operation: 90-28=62, Resulting Numbers: [56, 62]
Generated Node #0,3,3: 92:[56, 62] Operation: 90-28=62
Exploring Operation: 56+28=84, Resulting Numbers: [90, 84]
Generated Node #0,3,4: 92:[90, 84] Operation: 56+28=84
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 92:[90, 2], Operations: ['11+17=28', '56/28=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[56, 90, 11, 17], Operations: []
Exploring Operation: 11+17=28, Resulting Numbers: [56, 90, 28]
Generated Node #0,3: 92:[56, 90, 28] Operation: 11+17=28
Moving to Node #0,3
Current State: 92:[56, 90, 28], Operations: ['11+17=28']
Exploring Operation: 56/28=2, Resulting Numbers: [90, 2]
Generated Node #0,3,1: 92:[90, 2] Operation: 56/28=2
Moving to Node #0,3,1
Current State: 92:[90, 2], Operations: ['11+17=28', '56/28=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181
|
hs_5
|
sum_heuristic
|
[
92,
63,
65,
94
] | 48
|
[
"65-63=2",
"92/2=46",
"94-46=48"
] |
Current State: 48:[92, 63, 65, 94], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [92, 94, 2]
Generated Node #2: [92, 94, 2] from Operation: 65-63=2
Current State: 48:[92, 94, 2], Operations: ['65-63=2']
Exploring Operation: 92/2=46, Resulting Numbers: [94, 46]
Generated Node #3: [94, 46] from Operation: 92/2=46
Current State: 48:[94, 46], Operations: ['65-63=2', '92/2=46']
Exploring Operation: 94-46=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[92, 63, 65, 94], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [63, 65, 2]
Generated Node #0,0: 48:[63, 65, 2] Operation: 94-92=2
Exploring Operation: 94-65=29, Resulting Numbers: [92, 63, 29]
Generated Node #0,1: 48:[92, 63, 29] Operation: 94-65=29
Exploring Operation: 92-65=27, Resulting Numbers: [63, 94, 27]
Generated Node #0,2: 48:[63, 94, 27] Operation: 92-65=27
Exploring Operation: 92-63=29, Resulting Numbers: [65, 94, 29]
Generated Node #0,3: 48:[65, 94, 29] Operation: 92-63=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[63, 65, 2], Operations: ['94-92=2']
Exploring Operation: 65-63=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 48:[2, 2] Operation: 65-63=2
Exploring Operation: 63+2=65, Resulting Numbers: [65, 65]
Generated Node #0,0,1: 48:[65, 65] Operation: 63+2=65
Exploring Operation: 63-2=61, Resulting Numbers: [65, 61]
Generated Node #0,0,2: 48:[65, 61] Operation: 63-2=61
Exploring Operation: 65-2=63, Resulting Numbers: [63, 63]
Generated Node #0,0,3: 48:[63, 63] Operation: 65-2=63
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[2, 2], Operations: ['94-92=2', '65-63=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No 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: 48:[65, 61], Operations: ['94-92=2', '63-2=61']
Exploring Operation: 65-61=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 65*61=3965, Resulting Numbers: [3965]
3965,48 unequal: No Solution
Exploring Operation: 65+61=126, Resulting Numbers: [126]
126,48 unequal: No Solution
No 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: 48:[63, 63], Operations: ['94-92=2', '65-2=63']
Exploring Operation: 63-63=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 63/63=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 63*63=3969, Resulting Numbers: [3969]
3969,48 unequal: No Solution
Exploring Operation: 63+63=126, Resulting Numbers: [126]
126,48 unequal: No Solution
No 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: 48:[65, 65], Operations: ['94-92=2', '63+2=65']
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,48 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: 48:[92, 63, 29], Operations: ['94-65=29']
Exploring Operation: 92+29=121, Resulting Numbers: [63, 121]
Generated Node #0,1,0: 48:[63, 121] Operation: 92+29=121
Exploring Operation: 92-63=29, Resulting Numbers: [29, 29]
Generated Node #0,1,1: 48:[29, 29] Operation: 92-63=29
Exploring Operation: 63-29=34, Resulting Numbers: [92, 34]
Generated Node #0,1,2: 48:[92, 34] Operation: 63-29=34
Exploring Operation: 92-29=63, Resulting Numbers: [63, 63]
Generated Node #0,1,3: 48:[63, 63] Operation: 92-29=63
Moving to Node #0,1,1
Current State: 48:[29, 29], Operations: ['94-65=29', '92-63=29']
Exploring Operation: 29-29=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 29*29=841, Resulting Numbers: [841]
841,48 unequal: No Solution
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[63, 63], Operations: ['94-65=29', '92-29=63']
Exploring Operation: 63*63=3969, Resulting Numbers: [3969]
3969,48 unequal: No Solution
Exploring Operation: 63-63=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 63+63=126, Resulting Numbers: [126]
126,48 unequal: No Solution
Exploring Operation: 63/63=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[92, 34], Operations: ['94-65=29', '63-29=34']
Exploring Operation: 92-34=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 92+34=126, Resulting Numbers: [126]
126,48 unequal: No Solution
Exploring Operation: 92*34=3128, Resulting Numbers: [3128]
3128,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[63, 121], Operations: ['94-65=29', '92+29=121']
Exploring Operation: 63*121=7623, Resulting Numbers: [7623]
7623,48 unequal: No Solution
Exploring Operation: 121-63=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 63+121=184, Resulting Numbers: [184]
184,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[63, 94, 27], Operations: ['92-65=27']
Exploring Operation: 94-27=67, Resulting Numbers: [63, 67]
Generated Node #0,2,0: 48:[63, 67] Operation: 94-27=67
Exploring Operation: 94-63=31, Resulting Numbers: [27, 31]
Generated Node #0,2,1: 48:[27, 31] Operation: 94-63=31
Exploring Operation: 63-27=36, Resulting Numbers: [94, 36]
Generated Node #0,2,2: 48:[94, 36] Operation: 63-27=36
Exploring Operation: 63+27=90, Resulting Numbers: [94, 90]
Generated Node #0,2,3: 48:[94, 90] Operation: 63+27=90
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 48:[27, 31], Operations: ['92-65=27', '94-63=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,48 unequal: No Solution
No 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: 48:[63, 67], Operations: ['92-65=27', '94-27=67']
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,48 unequal: No Solution
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,48 unequal: No Solution
No 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: 48:[94, 36], Operations: ['92-65=27', '63-27=36']
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,48 unequal: No Solution
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,48 unequal: No Solution
No 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: 48:[94, 90], Operations: ['92-65=27', '63+27=90']
Exploring Operation: 94*90=8460, Resulting Numbers: [8460]
8460,48 unequal: No Solution
Exploring Operation: 94+90=184, Resulting Numbers: [184]
184,48 unequal: No Solution
Exploring Operation: 94-90=4, Resulting Numbers: [4]
4,48 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: 48:[65, 94, 29], Operations: ['92-63=29']
Exploring Operation: 94-65=29, Resulting Numbers: [29, 29]
Generated Node #0,3,0: 48:[29, 29] Operation: 94-65=29
Exploring Operation: 65-29=36, Resulting Numbers: [94, 36]
Generated Node #0,3,1: 48:[94, 36] Operation: 65-29=36
Exploring Operation: 65+29=94, Resulting Numbers: [94, 94]
Generated Node #0,3,2: 48:[94, 94] Operation: 65+29=94
Exploring Operation: 94-29=65, Resulting Numbers: [65, 65]
Generated Node #0,3,3: 48:[65, 65] Operation: 94-29=65
Moving to Node #0,3,0
Current State: 48:[29, 29], Operations: ['92-63=29', '94-65=29']
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 29*29=841, Resulting Numbers: [841]
841,48 unequal: No Solution
Exploring Operation: 29-29=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[65, 65], Operations: ['92-63=29', '94-29=65']
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,48 unequal: No Solution
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[94, 36], Operations: ['92-63=29', '65-29=36']
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[94, 94], Operations: ['92-63=29', '65+29=94']
Exploring Operation: 94-94=0, Resulting Numbers: [0]
0,48 unequal: No Solution
Exploring Operation: 94+94=188, Resulting Numbers: [188]
188,48 unequal: No Solution
Exploring Operation: 94*94=8836, Resulting Numbers: [8836]
8836,48 unequal: No Solution
Exploring Operation: 94/94=1, Resulting Numbers: [1]
1,48 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
|
[
73,
10,
42,
39
] | 21
|
[
"73-10=63",
"42-39=3",
"63/3=21"
] |
Current State: 21:[73, 10, 42, 39], Operations: []
Exploring Operation: 73-10=63, Resulting Numbers: [42, 39, 63]
Generated Node #2: [42, 39, 63] from Operation: 73-10=63
Current State: 21:[42, 39, 63], Operations: ['73-10=63']
Exploring Operation: 42-39=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 42-39=3
Current State: 21:[63, 3], Operations: ['73-10=63', '42-39=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
Current State: 21:[73, 10, 42, 39], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [73, 10, 3]
Generated Node #0,0: 21:[73, 10, 3] Operation: 42-39=3
Exploring Operation: 73-10=63, Resulting Numbers: [42, 39, 63]
Generated Node #0,1: 21:[42, 39, 63] Operation: 73-10=63
Exploring Operation: 73-39=34, Resulting Numbers: [10, 42, 34]
Generated Node #0,2: 21:[10, 42, 34] Operation: 73-39=34
Exploring Operation: 42-10=32, Resulting Numbers: [73, 39, 32]
Generated Node #0,3: 21:[73, 39, 32] Operation: 42-10=32
Exploring Operation: 73-42=31, Resulting Numbers: [10, 39, 31]
Generated Node #0,4: 21:[10, 39, 31] Operation: 73-42=31
Start Sub Search at level 1: Moving to Node #0,4
Current State: 21:[10, 39, 31], Operations: ['73-42=31']
Exploring Operation: 10+39=49, Resulting Numbers: [31, 49]
Generated Node #0,4,0: 21:[31, 49] Operation: 10+39=49
Exploring Operation: 10+31=41, Resulting Numbers: [39, 41]
Generated Node #0,4,1: 21:[39, 41] Operation: 10+31=41
Exploring Operation: 39-10=29, Resulting Numbers: [31, 29]
Generated Node #0,4,2: 21:[31, 29] Operation: 39-10=29
Exploring Operation: 39-31=8, Resulting Numbers: [10, 8]
Generated Node #0,4,3: 21:[10, 8] Operation: 39-31=8
Exploring Operation: 31-10=21, Resulting Numbers: [39, 21]
Generated Node #0,4,4: 21:[39, 21] Operation: 31-10=21
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 21:[10, 8], Operations: ['73-42=31', '39-31=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,21 unequal: No Solution
No 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: 21:[31, 29], Operations: ['73-42=31', '39-10=29']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,21 unequal: No Solution
Exploring Operation: 31*29=899, Resulting Numbers: [899]
899,21 unequal: No Solution
No 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: 21:[39, 21], Operations: ['73-42=31', '31-10=21']
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,21 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,21 unequal: No Solution
No 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: 21:[31, 49], Operations: ['73-42=31', '10+39=49']
Exploring Operation: 31*49=1519, Resulting Numbers: [1519]
1519,21 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,21 unequal: No Solution
No 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: 21:[39, 41], Operations: ['73-42=31', '10+31=41']
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,21 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,21 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: 21:[10, 42, 34], Operations: ['73-39=34']
Exploring Operation: 10+34=44, Resulting Numbers: [42, 44]
Generated Node #0,2,0: 21:[42, 44] Operation: 10+34=44
Exploring Operation: 42-34=8, Resulting Numbers: [10, 8]
Generated Node #0,2,1: 21:[10, 8] Operation: 42-34=8
Exploring Operation: 42-10=32, Resulting Numbers: [34, 32]
Generated Node #0,2,2: 21:[34, 32] Operation: 42-10=32
Exploring Operation: 10+42=52, Resulting Numbers: [34, 52]
Generated Node #0,2,3: 21:[34, 52] Operation: 10+42=52
Exploring Operation: 34-10=24, Resulting Numbers: [42, 24]
Generated Node #0,2,4: 21:[42, 24] Operation: 34-10=24
Moving to Node #0,2,1
Current State: 21:[10, 8], Operations: ['73-39=34', '42-34=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,21 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Moving to Node #0,2,4
Current State: 21:[42, 24], Operations: ['73-39=34', '34-10=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,21 unequal: No Solution
Exploring Operation: 42*24=1008, Resulting Numbers: [1008]
1008,21 unequal: No Solution
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[34, 32], Operations: ['73-39=34', '42-10=32']
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,21 unequal: No Solution
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 34*32=1088, Resulting Numbers: [1088]
1088,21 unequal: No Solution
Moving to Node #0,2,0
Current State: 21:[42, 44], Operations: ['73-39=34', '10+34=44']
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,21 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,21 unequal: No Solution
Moving to Node #0,2,3
Current State: 21:[34, 52], Operations: ['73-39=34', '10+42=52']
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,21 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[73, 10, 3], Operations: ['42-39=3']
Exploring Operation: 10+3=13, Resulting Numbers: [73, 13]
Generated Node #0,0,0: 21:[73, 13] Operation: 10+3=13
Exploring Operation: 10-3=7, Resulting Numbers: [73, 7]
Generated Node #0,0,1: 21:[73, 7] Operation: 10-3=7
Exploring Operation: 73-3=70, Resulting Numbers: [10, 70]
Generated Node #0,0,2: 21:[10, 70] Operation: 73-3=70
Exploring Operation: 73-10=63, Resulting Numbers: [3, 63]
Generated Node #0,0,3: 21:[3, 63] Operation: 73-10=63
Exploring Operation: 73+3=76, Resulting Numbers: [10, 76]
Generated Node #0,0,4: 21:[10, 76] Operation: 73+3=76
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 21:[3, 63], Operations: ['42-39=3', '73-10=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,21 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,21 unequal: No Solution
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,21 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[73, 10, 42, 39], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [73, 10, 3]
Generated Node #0,0: 21:[73, 10, 3] Operation: 42-39=3
Moving to Node #0,0
Current State: 21:[73, 10, 3], Operations: ['42-39=3']
Exploring Operation: 73-10=63, Resulting Numbers: [3, 63]
Generated Node #0,0,3: 21:[3, 63] Operation: 73-10=63
Moving to Node #0,0,3
Current State: 21:[3, 63], Operations: ['42-39=3', '73-10=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.949653
|
hs_5
|
mult_heuristic
|
[
6,
38,
86,
61
] | 57
|
[
"38-6=32",
"86-61=25",
"32+25=57"
] |
Current State: 57:[6, 38, 86, 61], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [86, 61, 32]
Generated Node #2: [86, 61, 32] from Operation: 38-6=32
Current State: 57:[86, 61, 32], Operations: ['38-6=32']
Exploring Operation: 86-61=25, Resulting Numbers: [32, 25]
Generated Node #3: [32, 25] from Operation: 86-61=25
Current State: 57:[32, 25], Operations: ['38-6=32', '86-61=25']
Exploring Operation: 32+25=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4
|
Current State: 57:[6, 38, 86, 61], Operations: []
Exploring Operation: 86-61=25, Resulting Numbers: [6, 38, 25]
Generated Node #0,0: 57:[6, 38, 25] Operation: 86-61=25
Exploring Operation: 86-38=48, Resulting Numbers: [6, 61, 48]
Generated Node #0,1: 57:[6, 61, 48] Operation: 86-38=48
Moving to Node #0,1
Current State: 57:[6, 61, 48], Operations: ['86-38=48']
Exploring Operation: 48/6=8, Resulting Numbers: [61, 8]
Generated Node #0,1,0: 57:[61, 8] Operation: 48/6=8
Exploring Operation: 6+48=54, Resulting Numbers: [61, 54]
Generated Node #0,1,1: 57:[61, 54] Operation: 6+48=54
Moving to Node #0,0
Current State: 57:[6, 38, 25], Operations: ['86-61=25']
Exploring Operation: 38+25=63, Resulting Numbers: [6, 63]
Generated Node #0,0,0: 57:[6, 63] Operation: 38+25=63
Exploring Operation: 38-25=13, Resulting Numbers: [6, 13]
Generated Node #0,0,1: 57:[6, 13] Operation: 38-25=13
Moving to Node #0,1,1
Current State: 57:[61, 54], Operations: ['86-38=48', '6+48=54']
Exploring Operation: 61-54=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 61+54=115, Resulting Numbers: [115]
115,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[6, 63], Operations: ['86-61=25', '38+25=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,57 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[6, 38, 86, 61], Operations: []
Exploring Operation: 86-61=25, Resulting Numbers: [6, 38, 25]
Generated Node #0,0: 57:[6, 38, 25] Operation: 86-61=25
Moving to Node #0,0
Current State: 57:[6, 38, 25], Operations: ['86-61=25']
Exploring Operation: 38+25=63, Resulting Numbers: [6, 63]
Generated Node #0,0,0: 57:[6, 63] Operation: 38+25=63
Moving to Node #0,0,0
Current State: 57:[6, 63], Operations: ['86-61=25', '38+25=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.987847
|
hs_2
|
mult_heuristic
|
[
22,
4,
94,
37
] | 66
|
[
"22+94=116",
"116/4=29",
"37+29=66"
] |
Current State: 66:[22, 4, 94, 37], Operations: []
Exploring Operation: 22+94=116, Resulting Numbers: [4, 37, 116]
Generated Node #2: [4, 37, 116] from Operation: 22+94=116
Current State: 66:[4, 37, 116], Operations: ['22+94=116']
Exploring Operation: 116/4=29, Resulting Numbers: [37, 29]
Generated Node #3: [37, 29] from Operation: 116/4=29
Current State: 66:[37, 29], Operations: ['22+94=116', '116/4=29']
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[22, 4, 94, 37], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [22, 4, 57]
Generated Node #0,0: 66:[22, 4, 57] Operation: 94-37=57
Exploring Operation: 94-22=72, Resulting Numbers: [4, 37, 72]
Generated Node #0,1: 66:[4, 37, 72] Operation: 94-22=72
Exploring Operation: 37-4=33, Resulting Numbers: [22, 94, 33]
Generated Node #0,2: 66:[22, 94, 33] Operation: 37-4=33
Exploring Operation: 94-4=90, Resulting Numbers: [22, 37, 90]
Generated Node #0,3: 66:[22, 37, 90] Operation: 94-4=90
Exploring Operation: 37-22=15, Resulting Numbers: [4, 94, 15]
Generated Node #0,4: 66:[4, 94, 15] Operation: 37-22=15
Moving to Node #0,0
Current State: 66:[22, 4, 57], Operations: ['94-37=57']
Exploring Operation: 4+57=61, Resulting Numbers: [22, 61]
Generated Node #0,0,0: 66:[22, 61] Operation: 4+57=61
Exploring Operation: 57-4=53, Resulting Numbers: [22, 53]
Generated Node #0,0,1: 66:[22, 53] Operation: 57-4=53
Exploring Operation: 22-4=18, Resulting Numbers: [57, 18]
Generated Node #0,0,2: 66:[57, 18] Operation: 22-4=18
Exploring Operation: 22+4=26, Resulting Numbers: [57, 26]
Generated Node #0,0,3: 66:[57, 26] Operation: 22+4=26
Exploring Operation: 57-22=35, Resulting Numbers: [4, 35]
Generated Node #0,0,4: 66:[4, 35] Operation: 57-22=35
Moving to Node #0,1
Current State: 66:[4, 37, 72], Operations: ['94-22=72']
Exploring Operation: 72/4=18, Resulting Numbers: [37, 18]
Generated Node #0,1,0: 66:[37, 18] Operation: 72/4=18
Exploring Operation: 72-4=68, Resulting Numbers: [37, 68]
Generated Node #0,1,1: 66:[37, 68] Operation: 72-4=68
Exploring Operation: 72-37=35, Resulting Numbers: [4, 35]
Generated Node #0,1,2: 66:[4, 35] Operation: 72-37=35
Exploring Operation: 4+37=41, Resulting Numbers: [72, 41]
Generated Node #0,1,3: 66:[72, 41] Operation: 4+37=41
Exploring Operation: 37-4=33, Resulting Numbers: [72, 33]
Generated Node #0,1,4: 66:[72, 33] Operation: 37-4=33
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[4, 35], Operations: ['94-22=72', '72-37=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,66 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[37, 68], Operations: ['94-22=72', '72-4=68']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 66:[72, 33], Operations: ['94-22=72', '37-4=33']
Exploring Operation: 72*33=2376, Resulting Numbers: [2376]
2376,66 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 72+33=105, Resulting Numbers: [105]
105,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[37, 18], Operations: ['94-22=72', '72/4=18']
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,66 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[72, 41], Operations: ['94-22=72', '4+37=41']
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,66 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,66 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: 66:[22, 94, 33], Operations: ['37-4=33']
Exploring Operation: 94-33=61, Resulting Numbers: [22, 61]
Generated Node #0,2,0: 66:[22, 61] Operation: 94-33=61
Exploring Operation: 94-22=72, Resulting Numbers: [33, 72]
Generated Node #0,2,1: 66:[33, 72] Operation: 94-22=72
Exploring Operation: 33-22=11, Resulting Numbers: [94, 11]
Generated Node #0,2,2: 66:[94, 11] Operation: 33-22=11
Exploring Operation: 22+94=116, Resulting Numbers: [33, 116]
Generated Node #0,2,3: 66:[33, 116] Operation: 22+94=116
Exploring Operation: 22+33=55, Resulting Numbers: [94, 55]
Generated Node #0,2,4: 66:[94, 55] Operation: 22+33=55
Moving to Node #0,3
Current State: 66:[22, 37, 90], Operations: ['94-4=90']
Exploring Operation: 90-37=53, Resulting Numbers: [22, 53]
Generated Node #0,3,0: 66:[22, 53] Operation: 90-37=53
Exploring Operation: 90-22=68, Resulting Numbers: [37, 68]
Generated Node #0,3,1: 66:[37, 68] Operation: 90-22=68
Exploring Operation: 37-22=15, Resulting Numbers: [90, 15]
Generated Node #0,3,2: 66:[90, 15] Operation: 37-22=15
Exploring Operation: 22+90=112, Resulting Numbers: [37, 112]
Generated Node #0,3,3: 66:[37, 112] Operation: 22+90=112
Exploring Operation: 22+37=59, Resulting Numbers: [90, 59]
Generated Node #0,3,4: 66:[90, 59] Operation: 22+37=59
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[37, 68], Operations: ['94-4=90', '90-22=68']
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,66 unequal: No Solution
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[22, 53], Operations: ['94-4=90', '90-37=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,66 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[90, 15], Operations: ['94-4=90', '37-22=15']
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[90, 59], Operations: ['94-4=90', '22+37=59']
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,66 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,66 unequal: No Solution
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[37, 112], Operations: ['94-4=90', '22+90=112']
Exploring Operation: 37*112=4144, Resulting Numbers: [4144]
4144,66 unequal: No Solution
Exploring Operation: 37+112=149, Resulting Numbers: [149]
149,66 unequal: No Solution
Exploring Operation: 112-37=75, Resulting Numbers: [75]
75,66 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: 66:[4, 94, 15], Operations: ['37-22=15']
Exploring Operation: 4*15=60, Resulting Numbers: [94, 60]
Generated Node #0,4,0: 66:[94, 60] Operation: 4*15=60
Exploring Operation: 15-4=11, Resulting Numbers: [94, 11]
Generated Node #0,4,1: 66:[94, 11] Operation: 15-4=11
Exploring Operation: 94-15=79, Resulting Numbers: [4, 79]
Generated Node #0,4,2: 66:[4, 79] Operation: 94-15=79
Exploring Operation: 4+15=19, Resulting Numbers: [94, 19]
Generated Node #0,4,3: 66:[94, 19] Operation: 4+15=19
Exploring Operation: 94-4=90, Resulting Numbers: [15, 90]
Generated Node #0,4,4: 66:[15, 90] Operation: 94-4=90
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 66:[4, 79], Operations: ['37-22=15', '94-15=79']
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,66 unequal: No Solution
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 66:[94, 11], Operations: ['37-22=15', '15-4=11']
Exploring Operation: 94*11=1034, Resulting Numbers: [1034]
1034,66 unequal: No Solution
Exploring Operation: 94+11=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 66:[15, 90], Operations: ['37-22=15', '94-4=90']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 15+90=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 15*90=1350, Resulting Numbers: [1350]
1350,66 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 66:[94, 19], Operations: ['37-22=15', '4+15=19']
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,66 unequal: No Solution
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 66:[94, 60], Operations: ['37-22=15', '4*15=60']
Exploring Operation: 94-60=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 94*60=5640, Resulting Numbers: [5640]
5640,66 unequal: No Solution
Exploring Operation: 94+60=154, Resulting Numbers: [154]
154,66 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: 66:[4, 35], Operations: ['94-37=57', '57-22=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,66 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[22, 61], Operations: ['37-4=33', '94-33=61']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 22+61=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 22*61=1342, Resulting Numbers: [1342]
1342,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[22, 61], Operations: ['94-37=57', '4+57=61']
Exploring Operation: 22+61=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 22*61=1342, Resulting Numbers: [1342]
1342,66 unequal: No Solution
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[33, 72], Operations: ['37-4=33', '94-22=72']
Exploring Operation: 33*72=2376, Resulting Numbers: [2376]
2376,66 unequal: No Solution
Exploring Operation: 33+72=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[22, 53], Operations: ['94-37=57', '57-4=53']
Exploring Operation: 22+53=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 22*53=1166, Resulting Numbers: [1166]
1166,66 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[57, 26], Operations: ['94-37=57', '22+4=26']
Exploring Operation: 57*26=1482, Resulting Numbers: [1482]
1482,66 unequal: No Solution
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[57, 18], Operations: ['94-37=57', '22-4=18']
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,66 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[94, 11], Operations: ['37-4=33', '33-22=11']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 94*11=1034, Resulting Numbers: [1034]
1034,66 unequal: No Solution
Exploring Operation: 94+11=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Moving to Node #0,2,4
Current State: 66:[94, 55], Operations: ['37-4=33', '22+33=55']
Exploring Operation: 94+55=149, Resulting Numbers: [149]
149,66 unequal: No Solution
Exploring Operation: 94-55=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 94*55=5170, Resulting Numbers: [5170]
5170,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[33, 116], Operations: ['37-4=33', '22+94=116']
Exploring Operation: 33+116=149, Resulting Numbers: [149]
149,66 unequal: No Solution
Exploring Operation: 116-33=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 33*116=3828, Resulting Numbers: [3828]
3828,66 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
56,
96,
48,
42
] | 30
|
[
"56-48=8",
"96/8=12",
"42-12=30"
] |
Current State: 30:[56, 96, 48, 42], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [96, 42, 8]
Generated Node #2: [96, 42, 8] from Operation: 56-48=8
Current State: 30:[96, 42, 8], Operations: ['56-48=8']
Exploring Operation: 96/8=12, Resulting Numbers: [42, 12]
Generated Node #3: [42, 12] from Operation: 96/8=12
Current State: 30:[42, 12], Operations: ['56-48=8', '96/8=12']
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[56, 96, 48, 42], Operations: []
Exploring Operation: 96-42=54, Resulting Numbers: [56, 48, 54]
Generated Node #0,0: 30:[56, 48, 54] Operation: 96-42=54
Exploring Operation: 96-48=48, Resulting Numbers: [56, 42, 48]
Generated Node #0,1: 30:[56, 42, 48] Operation: 96-48=48
Exploring Operation: 96/48=2, Resulting Numbers: [56, 42, 2]
Generated Node #0,2: 30:[56, 42, 2] Operation: 96/48=2
Exploring Operation: 96-56=40, Resulting Numbers: [48, 42, 40]
Generated Node #0,3: 30:[48, 42, 40] Operation: 96-56=40
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[56, 42, 2], Operations: ['96/48=2']
Exploring Operation: 56-2=54, Resulting Numbers: [42, 54]
Generated Node #0,2,0: 30:[42, 54] Operation: 56-2=54
Exploring Operation: 56/2=28, Resulting Numbers: [42, 28]
Generated Node #0,2,1: 30:[42, 28] Operation: 56/2=28
Exploring Operation: 42/2=21, Resulting Numbers: [56, 21]
Generated Node #0,2,2: 30:[56, 21] Operation: 42/2=21
Exploring Operation: 56-42=14, Resulting Numbers: [2, 14]
Generated Node #0,2,3: 30:[2, 14] Operation: 56-42=14
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 30:[2, 14], Operations: ['96/48=2', '56-42=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,30 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:[42, 28], Operations: ['96/48=2', '56/2=28']
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,30 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,30 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,30 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 #0,2,2
Current State: 30:[56, 21], Operations: ['96/48=2', '42/2=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 56*21=1176, Resulting Numbers: [1176]
1176,30 unequal: No Solution
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,30 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:[42, 54], Operations: ['96/48=2', '56-2=54']
Exploring Operation: 42+54=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 42*54=2268, Resulting Numbers: [2268]
2268,30 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[48, 42, 40], Operations: ['96-56=40']
Exploring Operation: 48-40=8, Resulting Numbers: [42, 8]
Generated Node #0,3,0: 30:[42, 8] Operation: 48-40=8
Exploring Operation: 42-40=2, Resulting Numbers: [48, 2]
Generated Node #0,3,1: 30:[48, 2] Operation: 42-40=2
Exploring Operation: 48-42=6, Resulting Numbers: [40, 6]
Generated Node #0,3,2: 30:[40, 6] Operation: 48-42=6
Exploring Operation: 48+42=90, Resulting Numbers: [40, 90]
Generated Node #0,3,3: 30:[40, 90] Operation: 48+42=90
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 30:[40, 6], Operations: ['96-56=40', '48-42=6']
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,30 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,30 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,30 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 #0,3,0
Current State: 30:[42, 8], Operations: ['96-56=40', '48-40=8']
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,30 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,30 unequal: No Solution
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,30 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 #0,3,1
Current State: 30:[48, 2], Operations: ['96-56=40', '42-40=2']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,30 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,30 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 #0,3,3
Current State: 30:[40, 90], Operations: ['96-56=40', '48+42=90']
Exploring Operation: 40+90=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Exploring Operation: 40*90=3600, Resulting Numbers: [3600]
3600,30 unequal: No Solution
Exploring Operation: 90-40=50, Resulting Numbers: [50]
50,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[56, 42, 48], Operations: ['96-48=48']
Exploring Operation: 48-42=6, Resulting Numbers: [56, 6]
Generated Node #0,1,0: 30:[56, 6] Operation: 48-42=6
Exploring Operation: 56-48=8, Resulting Numbers: [42, 8]
Generated Node #0,1,1: 30:[42, 8] Operation: 56-48=8
Exploring Operation: 56+42=98, Resulting Numbers: [48, 98]
Generated Node #0,1,2: 30:[48, 98] Operation: 56+42=98
Exploring Operation: 56-42=14, Resulting Numbers: [48, 14]
Generated Node #0,1,3: 30:[48, 14] Operation: 56-42=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[42, 8], Operations: ['96-48=48', '56-48=8']
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,30 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,30 unequal: No Solution
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 30:[48, 14], Operations: ['96-48=48', '56-42=14']
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 48*14=672, Resulting Numbers: [672]
672,30 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[56, 6], Operations: ['96-48=48', '48-42=6']
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,30 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 30:[48, 98], Operations: ['96-48=48', '56+42=98']
Exploring Operation: 48*98=4704, Resulting Numbers: [4704]
4704,30 unequal: No Solution
Exploring Operation: 48+98=146, Resulting Numbers: [146]
146,30 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[56, 48, 54], Operations: ['96-42=54']
Exploring Operation: 56-48=8, Resulting Numbers: [54, 8]
Generated Node #0,0,0: 30:[54, 8] Operation: 56-48=8
Exploring Operation: 56+48=104, Resulting Numbers: [54, 104]
Generated Node #0,0,1: 30:[54, 104] Operation: 56+48=104
Exploring Operation: 56-54=2, Resulting Numbers: [48, 2]
Generated Node #0,0,2: 30:[48, 2] Operation: 56-54=2
Exploring Operation: 54-48=6, Resulting Numbers: [56, 6]
Generated Node #0,0,3: 30:[56, 6] Operation: 54-48=6
Moving to Node #0,0,2
Current State: 30:[48, 2], Operations: ['96-42=54', '56-54=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,30 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,30 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[56, 6], Operations: ['96-42=54', '54-48=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,30 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[54, 8], Operations: ['96-42=54', '56-48=8']
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,30 unequal: No Solution
Exploring Operation: 54*8=432, Resulting Numbers: [432]
432,30 unequal: No Solution
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[54, 104], Operations: ['96-42=54', '56+48=104']
Exploring Operation: 104-54=50, Resulting Numbers: [50]
50,30 unequal: No Solution
Exploring Operation: 54+104=158, Resulting Numbers: [158]
158,30 unequal: No Solution
Exploring Operation: 54*104=5616, Resulting Numbers: [5616]
5616,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
Subsets and Splits
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