-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathproblem 13
More file actions
135 lines (130 loc) · 15.9 KB
/
Copy pathproblem 13
File metadata and controls
135 lines (130 loc) · 15.9 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
//Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.
#include<iostream>
#include<string>
#include<vector>
using namespace std;
int main(){
int allnum [100][50] =
{
{ 3, 7 ,1, 0, 7, 2, 8, 7, 5, 3, 3, 9, 0, 2, 1, 0, 2, 7, 9, 8, 7, 9, 7, 9, 9, 8, 2, 2, 0, 8, 3, 7, 5, 9, 0, 2, 4, 6, 5, 1, 0, 1, 3, 5, 7, 4, 0, 2, 5, 0} ,
{ 4, 6, 3, 7, 6, 9, 3, 7, 6, 7, 7, 4, 9, 0, 0, 0, 9, 7, 1, 2, 6, 4, 8, 1, 2, 4, 8, 9, 6, 9, 7, 0, 0, 7, 8, 0, 5, 0, 4, 1, 7, 0, 1, 8, 2, 6, 0, 5, 3, 8} ,
{ 7, 4, 3, 2, 4, 9, 8, 6, 1, 9, 9, 5, 2, 4, 7, 4, 1, 0, 5, 9, 4, 7, 4, 2, 3, 3, 3, 0, 9, 5, 1, 3, 0, 5, 8, 1, 2, 3, 7, 2, 6, 6, 1, 7, 3, 0, 9, 6, 2, 9} ,
{ 9, 1, 9, 4, 2, 2, 1, 3, 3, 6, 3, 5, 7, 4, 1, 6, 1, 5, 7, 2, 5, 2, 2, 4, 3, 0, 5, 6, 3, 3, 0, 1, 8, 1, 1, 0, 7, 2, 4, 0, 6, 1, 5, 4, 9, 0, 8, 2, 5, 0} ,
{ 2, 3, 0, 6, 7, 5, 8, 8, 2, 0, 7, 5, 3, 9, 3, 4, 6, 1, 7, 1, 1, 7, 1, 9, 8, 0, 3, 1, 0, 4, 2, 1, 0, 4, 7, 5, 1, 3, 7, 7, 8, 0, 6, 3, 2, 4, 6, 6, 7, 6} ,
{ 8, 9, 2, 6, 1, 6, 7, 0, 6, 9, 6, 6, 2, 3, 6, 3, 3, 8, 2, 0, 1, 3, 6, 3, 7, 8, 4, 1, 8, 3, 8, 3, 6, 8, 4, 1, 7, 8, 7, 3, 4, 3, 6, 1, 7, 2, 6, 7, 5, 7} ,
{ 2, 8, 1, 1, 2, 8, 7, 9, 8, 1, 2, 8, 4, 9, 9, 7, 9, 4, 0, 8, 0, 6, 5, 4, 8, 1, 9, 3, 1, 5, 9, 2, 6, 2, 1, 6, 9, 1, 2, 7, 5, 8, 8, 9, 8, 3, 2, 7, 3, 8} ,
{ 4, 4, 2, 7, 4, 2, 2, 8, 9, 1, 7, 4, 3, 2, 5, 2, 0, 3, 2, 1, 9, 2, 3, 5, 8, 9, 4, 2, 2, 8, 7, 6, 7, 9, 6, 4, 8, 7, 6, 7, 0, 2, 7, 2, 1, 8, 9, 3, 1, 8} ,
{ 4, 7, 4, 5, 1, 4, 4, 5, 7, 3, 6, 0, 0, 1, 3, 0, 6, 4, 3, 9, 0, 9, 1, 1, 6, 7, 2, 1, 6, 8, 5, 6, 8, 4, 4, 5, 8, 8, 7, 1, 1, 6, 0, 3, 1, 5, 3, 2, 7, 6} ,
{ 7, 0, 3, 8, 6, 4, 8, 6, 1, 0, 5, 8, 4, 3, 0, 2, 5, 4, 3, 9, 9, 3, 9, 6, 1, 9, 8, 2, 8, 9, 1, 7, 5, 9, 3, 6, 6, 5, 6, 8, 6, 7, 5, 7, 9, 3, 4, 9, 5, 1} ,
{ 6, 2, 1, 7, 6, 4, 5, 7, 1, 4, 1, 8, 5, 6, 5, 6, 0, 6, 2, 9, 5, 0, 2, 1, 5, 7, 2, 2, 3, 1, 9, 6, 5, 8, 6, 7, 5, 5, 0, 7, 9, 3, 2, 4, 1, 9, 3, 3, 3, 1} ,
{ 6, 4, 9, 0, 6, 3, 5, 2, 4, 6, 2, 7, 4, 1, 9, 0, 4, 9, 2, 9, 1, 0, 1, 4, 3, 2, 4, 4, 5, 8, 1, 3, 8, 2, 2, 6, 6, 3, 3, 4, 7, 9, 4, 4, 7, 5, 8, 1, 7, 8} ,
{ 9, 2, 5, 7, 5, 8, 6, 7, 7, 1, 8, 3, 3, 7, 2, 1, 7, 6, 6, 1, 9, 6, 3, 7, 5, 1, 5, 9, 0, 5, 7, 9, 2, 3, 9, 7, 2, 8, 2, 4, 5, 5, 9, 8, 8, 3, 8, 4, 0, 7} ,
{ 5, 8, 2, 0, 3, 5, 6, 5, 3, 2, 5, 3, 5, 9, 3, 9, 9, 0, 0, 8, 4, 0, 2, 6, 3, 3, 5, 6, 8, 9, 4, 8, 8, 3, 0, 1, 8, 9, 4, 5, 8, 6, 2, 8, 2, 2, 7, 8, 2, 8} ,
{ 8, 0, 1, 8, 1, 1, 9, 9, 3, 8, 4, 8, 2, 6, 2, 8, 2, 0, 1, 4, 2, 7, 8, 1, 9, 4, 1, 3, 9, 9, 4, 0, 5, 6, 7, 5, 8, 7, 1, 5, 1, 1, 7, 0, 0, 9, 4, 3, 9, 0} ,
{ 3, 5, 3, 9, 8, 6, 6, 4, 3, 7, 2, 8, 2, 7, 1, 1, 2, 6, 5, 3, 8, 2, 9, 9, 8, 7, 2, 4, 0, 7, 8, 4, 4, 7, 3, 0, 5, 3, 1, 9, 0, 1, 0, 4, 2, 9, 3, 5, 8, 6} ,
{ 8, 6, 5, 1, 5, 5, 0, 6, 0, 0, 6, 2, 9, 5, 8, 6, 4, 8, 6, 1, 5, 3, 2, 0, 7, 5, 2, 7, 3, 3, 7, 1, 9, 5, 9, 1, 9, 1, 4, 2, 0, 5, 1, 7, 2, 5, 5, 8, 2, 9} ,
{ 7, 1, 6, 9, 3, 8, 8, 8, 7, 0, 7, 7, 1, 5, 4, 6, 6, 4, 9, 9, 1, 1, 5, 5, 9, 3, 4, 8, 7, 6, 0, 3, 5, 3, 2, 9, 2, 1, 7, 1, 4, 9, 7, 0, 0, 5, 6, 9, 3, 8} ,
{ 5, 4, 3, 7, 0, 0, 7, 0, 5, 7, 6, 8, 2, 6, 6, 8, 4, 6, 2, 4, 6, 2, 1, 4, 9, 5, 6, 5, 0, 0, 7, 6, 4, 7, 1, 7, 8, 7, 2, 9, 4, 4, 3, 8, 3, 7, 7, 6, 0, 4} ,
{ 5, 3, 2, 8, 2, 6, 5, 4, 1, 0, 8, 7, 5, 6, 8, 2, 8, 4, 4, 3, 1, 9, 1, 1, 9, 0, 6, 3, 4, 6, 9, 4, 0, 3, 7, 8, 5, 5, 2, 1, 7, 7, 7, 9, 2, 9, 5, 1, 4, 5} ,
{ 3, 6, 1, 2, 3, 2, 7, 2, 5, 2, 5, 0, 0, 0, 2, 9, 6, 0, 7, 1, 0, 7, 5, 0, 8, 2, 5, 6, 3, 8, 1, 5, 6, 5, 6, 7, 1, 0, 8, 8, 5, 2, 5, 8, 3, 5, 0, 7, 2, 1} ,
{ 4, 5, 8, 7, 6, 5, 7, 6, 1, 7, 2, 4, 1, 0, 9, 7, 6, 4, 4, 7, 3, 3, 9, 1, 1, 0, 6, 0, 7, 2, 1, 8, 2, 6, 5, 2, 3, 6, 8, 7, 7, 2, 2, 3, 6, 3, 6, 0, 4, 5} ,
{ 1, 7, 4, 2, 3, 7, 0, 6, 9, 0, 5, 8, 5, 1, 8, 6, 0, 6, 6, 0, 4, 4, 8, 2, 0, 7, 6, 2, 1, 2, 0, 9, 8, 1, 3, 2, 8, 7, 8, 6, 0, 7, 3, 3, 9, 6, 9, 4, 1, 2} ,
{ 8, 1, 1, 4, 2, 6, 6, 0, 4, 1, 8, 0, 8, 6, 8, 3, 0, 6, 1, 9, 3, 2, 8, 4, 6, 0, 8, 1, 1, 1, 9, 1, 0, 6, 1, 5, 5, 6, 9, 4, 0, 5, 1, 2, 6, 8, 9, 6, 9, 2} ,
{ 5, 1, 9, 3, 4, 3, 2, 5, 4, 5, 1, 7, 2, 8, 3, 8, 8, 6, 4, 1, 9, 1, 8, 0, 4, 7, 0, 4, 9, 2, 9, 3, 2, 1, 5, 0, 5, 8, 6, 4, 2, 5, 6, 3, 0, 4, 9, 4, 8, 3} ,
{ 6, 2, 4, 6, 7, 2, 2, 1, 6, 4, 8, 4, 3, 5, 0, 7, 6, 2, 0, 1, 7, 2, 7, 9, 1, 8, 0, 3, 9, 9, 4, 4, 6, 9, 3, 0, 0, 4, 7, 3, 2, 9, 5, 6, 3, 4, 0, 6, 9, 1} ,
{ 1, 5, 7, 3, 2, 4, 4, 4, 3, 8, 6, 9, 0, 8, 1, 2, 5, 7, 9, 4, 5, 1, 4, 0, 8, 9, 0, 5, 7, 7, 0, 6, 2, 2, 9, 4, 2, 9, 1, 9, 7, 1, 0, 7, 9, 2, 8, 2, 0, 9} ,
{ 5, 5, 0, 3, 7, 6, 8, 7, 5, 2, 5, 6, 7, 8, 7, 7, 3, 0, 9, 1, 8, 6, 2, 5, 4, 0, 7, 4, 4, 9, 6, 9, 8, 4, 4, 5, 0, 8, 3, 3, 0, 3, 9, 3, 6, 8, 2, 1, 2, 6} ,
{ 1, 8, 3, 3, 6, 3, 8, 4, 8, 2, 5, 3, 3, 0, 1, 5, 4, 6, 8, 6, 1, 9, 6, 1, 2, 4, 3, 4, 8, 7, 6, 7, 6, 8, 1, 2, 9, 7, 5, 3, 4, 3, 7, 5, 9, 4, 6, 5, 1, 5} ,
{ 8, 0, 3, 8, 6, 2, 8, 7, 5, 9, 2, 8, 7, 8, 4, 9, 0, 2, 0, 1, 5, 2, 1, 6, 8, 5, 5, 5, 4, 8, 2, 8, 7, 1, 7, 2, 0, 1, 2, 1, 9, 2, 5, 7, 7, 6, 6, 9, 5, 4} ,
{ 7, 8, 1, 8, 2, 8, 3, 3, 7, 5, 7, 9, 9, 3, 1, 0, 3, 6, 1, 4, 7, 4, 0, 3, 5, 6, 8, 5, 6, 4, 4, 9, 0, 9, 5, 5, 2, 7, 0, 9, 7, 8, 6, 4, 7, 9, 7, 5, 8, 1} ,
{ 1, 6, 7, 2, 6, 3, 2, 0, 1, 0, 0, 4, 3, 6, 8, 9, 7, 8, 4, 2, 5, 5, 3, 5, 3, 9, 9, 2, 0, 9, 3, 1, 8, 3, 7, 4, 4, 1, 4, 9, 7, 8, 0, 6, 8, 6, 0, 9, 8, 4} ,
{ 4, 8, 4, 0, 3, 0, 9, 8, 1, 2, 9, 0, 7, 7, 7, 9, 1, 7, 9, 9, 0, 8, 8, 2, 1, 8, 7, 9, 5, 3, 2, 7, 3, 6, 4, 4, 7, 5, 6, 7, 5, 5, 9, 0, 8, 4, 8, 0, 3, 0} ,
{ 8, 7, 0, 8, 6, 9, 8, 7, 5, 5, 1, 3, 9, 2, 7, 1, 1, 8, 5, 4, 5, 1, 7, 0, 7, 8, 5, 4, 4, 1, 6, 1, 8, 5, 2, 4, 2, 4, 3, 2, 0, 6, 9, 3, 1, 5, 0, 3, 3, 2} ,
{ 5, 9, 9, 5, 9, 4, 0, 6, 8, 9, 5, 7, 5, 6, 5, 3, 6, 7, 8, 2, 1, 0, 7, 0, 7, 4, 9, 2, 6, 9, 6, 6, 5, 3, 7, 6, 7, 6, 3, 2, 6, 2, 3, 5, 4, 4, 7, 2, 1, 0} ,
{ 6, 9, 7, 9, 3, 9, 5, 0, 6, 7, 9, 6, 5, 2, 6, 9, 4, 7, 4, 2, 5, 9, 7, 7, 0, 9, 7, 3, 9, 1, 6, 6, 6, 9, 3, 7, 6, 3, 0, 4, 2, 6, 3, 3, 9, 8, 7, 0, 8, 5} ,
{ 4, 1, 0, 5, 2, 6, 8, 4, 7, 0, 8, 2, 9, 9, 0, 8, 5, 2, 1, 1, 3, 9, 9, 4, 2, 7, 3, 6, 5, 7, 3, 4, 1, 1, 6, 1, 8, 2, 7, 6, 0, 3, 1, 5, 0, 0, 1, 2, 7, 1} ,
{ 6, 5, 3, 7, 8, 6, 0, 7, 3, 6, 1, 5, 0, 1, 0, 8, 0, 8, 5, 7, 0, 0, 9, 1, 4, 9, 9, 3, 9, 5, 1, 2, 5, 5, 7, 0, 2, 8, 1, 9, 8, 7, 4, 6, 0, 0, 4, 3, 7, 5} ,
{ 3, 5, 8, 2, 9, 0, 3, 5, 3, 1, 7, 4, 3, 4, 7, 1, 7, 3, 2, 6, 9, 3, 2, 1, 2, 3, 5, 7, 8, 1, 5, 4, 9, 8, 2, 6, 2, 9, 7, 4, 2, 5, 5, 2, 7, 3, 7, 3, 0, 7} ,
{ 9, 4, 9, 5, 3, 7, 5, 9, 7, 6, 5, 1, 0, 5, 3, 0, 5, 9, 4, 6, 9, 6, 6, 0, 6, 7, 6, 8, 3, 1, 5, 6, 5, 7, 4, 3, 7, 7, 1, 6, 7, 4, 0, 1, 8, 7, 5, 2, 7, 5} ,
{ 8, 8, 9, 0, 2, 8, 0, 2, 5, 7, 1, 7, 3, 3, 2, 2, 9, 6, 1, 9, 1, 7, 6, 6, 6, 8, 7, 1, 3, 8, 1, 9, 9, 3, 1, 8, 1, 1, 0, 4, 8, 7, 7, 0, 1, 9, 0, 2, 7, 1} ,
{ 2, 5, 2, 6, 7, 6, 8, 0, 2, 7, 6, 0, 7, 8, 0, 0, 3, 0, 1, 3, 6, 7, 8, 6, 8, 0, 9, 9, 2, 5, 2, 5, 4, 6, 3, 4, 0, 1, 0, 6, 1, 6, 3, 2, 8, 6, 6, 5, 2, 6} ,
{ 3, 6, 2, 7, 0, 2, 1, 8, 5, 4, 0, 4, 9, 7, 7, 0, 5, 5, 8, 5, 6, 2, 9, 9, 4, 6, 5, 8, 0, 6, 3, 6, 2, 3, 7, 9, 9, 3, 1, 4, 0, 7, 4, 6, 2, 5, 5, 9, 6, 2} ,
{ 2, 4, 0, 7, 4, 4, 8, 6, 9, 0, 8, 2, 3, 1, 1, 7, 4, 9, 7, 7, 7, 9, 2, 3, 6, 5, 4, 6, 6, 2, 5, 7, 2, 4, 6, 9, 2, 3, 3, 2, 2, 8, 1, 0, 9, 1, 7, 1, 4, 1} ,
{ 9, 1, 4, 3, 0, 2, 8, 8, 1, 9, 7, 1, 0, 3, 2, 8, 8, 5, 9, 7, 8, 0, 6, 6, 6, 9, 7, 6, 0, 8, 9, 2, 9, 3, 8, 6, 3, 8, 2, 8, 5, 0, 2, 5, 3, 3, 3, 4, 0, 3} ,
{ 3, 4, 4, 1, 3, 0, 6, 5, 5, 7, 8, 0, 1, 6, 1, 2, 7, 8, 1, 5, 9, 2, 1, 8, 1, 5, 0, 0, 5, 5, 6, 1, 8, 6, 8, 8, 3, 6, 4, 6, 8, 4, 2, 0, 0, 9, 0, 4, 7, 0} ,
{ 2, 3, 0, 5, 3, 0, 8, 1, 1, 7, 2, 8, 1, 6, 4, 3, 0, 4, 8, 7, 6, 2, 3, 7, 9, 1, 9, 6, 9, 8, 4, 2, 4, 8, 7, 2, 5, 5, 0, 3, 6, 6, 3, 8, 7, 8, 4, 5, 8, 3} ,
{ 1, 1, 4, 8, 7, 6, 9, 6, 9, 3, 2, 1, 5, 4, 9, 0, 2, 8, 1, 0, 4, 2, 4, 0, 2, 0, 1, 3, 8, 3, 3, 5, 1, 2, 4, 4, 6, 2, 1, 8, 1, 4, 4, 1, 7, 7, 3, 4, 7, 0} ,
{ 6, 3, 7, 8, 3, 2, 9, 9, 4, 9, 0, 6, 3, 6, 2, 5, 9, 6, 6, 6, 4, 9, 8, 5, 8, 7, 6, 1, 8, 2, 2, 1, 2, 2, 5, 2, 2, 5, 5, 1, 2, 4, 8, 6, 7, 6, 4, 5, 3, 3} ,
{ 6, 7, 7, 2, 0, 1, 8, 6, 9, 7, 1, 6, 9, 8, 5, 4, 4, 3, 1, 2, 4, 1, 9, 5, 7, 2, 4, 0, 9, 9, 1, 3, 9, 5, 9, 0, 0, 8, 9, 5, 2, 3, 1, 0, 0, 5, 8, 8, 2, 2} ,
{ 9, 5, 5, 4, 8, 2, 5, 5, 3, 0, 0, 2, 6, 3, 5, 2, 0, 7, 8, 1, 5, 3, 2, 2, 9, 6, 7, 9, 6, 2, 4, 9, 4, 8, 1, 6, 4, 1, 9, 5, 3, 8, 6, 8, 2, 1, 8, 7, 7, 4} ,
{ 7, 6, 0, 8, 5, 3, 2, 7, 1, 3, 2, 2, 8, 5, 7, 2, 3, 1, 1, 0, 4, 2, 4, 8, 0, 3, 4, 5, 6, 1, 2, 4, 8, 6, 7, 6, 9, 7, 0, 6, 4, 5, 0, 7, 9, 9, 5, 2, 3, 6} ,
{ 3, 7, 7, 7, 4, 2, 4, 2, 5, 3, 5, 4, 1, 1, 2, 9, 1, 6, 8, 4, 2, 7, 6, 8, 6, 5, 5, 3, 8, 9, 2, 6, 2, 0, 5, 0, 2, 4, 9, 1, 0, 3, 2, 6, 5, 7, 2, 9, 6, 7} ,
{ 2, 3, 7, 0, 1, 9, 1, 3, 2, 7, 5, 7, 2, 5, 6, 7, 5, 2, 8, 5, 6, 5, 3, 2, 4, 8, 2, 5, 8, 2, 6, 5, 4, 6, 3, 0, 9, 2, 2, 0, 7, 0, 5, 8, 5, 9, 6, 5, 2, 2} ,
{ 2, 9, 7, 9, 8, 8, 6, 0, 2, 7, 2, 2, 5, 8, 3, 3, 1, 9, 1, 3, 1, 2, 6, 3, 7, 5, 1, 4, 7, 3, 4, 1, 9, 9, 4, 8, 8, 9, 5, 3, 4, 7, 6, 5, 7, 4, 5, 5, 0, 1} ,
{ 1, 8, 4, 9, 5, 7, 0, 1, 4, 5, 4, 8, 7, 9, 2, 8, 8, 9, 8, 4, 8, 5, 6, 8, 2, 7, 7, 2, 6, 0, 7, 7, 7, 1, 3, 7, 2, 1, 4, 0, 3, 7, 9, 8, 8, 7, 9, 7, 1, 5} ,
{ 3, 8, 2, 9, 8, 2, 0, 3, 7, 8, 3, 0, 3, 1, 4, 7, 3, 5, 2, 7, 7, 2, 1, 5, 8, 0, 3, 4, 8, 1, 4, 4, 5, 1, 3, 4, 9, 1, 3, 7, 3, 2, 2, 6, 6, 5, 1, 3, 8, 1} ,
{ 3, 4, 8, 2, 9, 5, 4, 3, 8, 2, 9, 1, 9, 9, 9, 1, 8, 1, 8, 0, 2, 7, 8, 9, 1, 6, 5, 2, 2, 4, 3, 1, 0, 2, 7, 3, 9, 2, 2, 5, 1, 1, 2, 2, 8, 6, 9, 5, 3, 9} ,
{ 4, 0, 9, 5, 7, 9, 5, 3, 0, 6, 6, 4, 0, 5, 2, 3, 2, 6, 3, 2, 5, 3, 8, 0, 4, 4, 1, 0, 0, 0, 5, 9, 6, 5, 4, 9, 3, 9, 1, 5, 9, 8, 7, 9, 5, 9, 3, 6, 3, 5} ,
{ 2, 9, 7, 4, 6, 1, 5, 2, 1, 8, 5, 5, 0, 2, 3, 7, 1, 3, 0, 7, 6, 4, 2, 2, 5, 5, 1, 2, 1, 1, 8, 3, 6, 9, 3, 8, 0, 3, 5, 8, 0, 3, 8, 8, 5, 8, 4, 9, 0, 3} ,
{ 4, 1, 6, 9, 8, 1, 1, 6, 2, 2, 2, 0, 7, 2, 9, 7, 7, 1, 8, 6, 1, 5, 8, 2, 3, 6, 6, 7, 8, 4, 2, 4, 6, 8, 9, 1, 5, 7, 9, 9, 3, 5, 3, 2, 9, 6, 1, 9, 2, 2} ,
{ 6, 2, 4, 6, 7, 9, 5, 7, 1, 9, 4, 4, 0, 1, 2, 6, 9, 0, 4, 3, 8, 7, 7, 1, 0, 7, 2, 7, 5, 0, 4, 8, 1, 0, 2, 3, 9, 0, 8, 9, 5, 5, 2, 3, 5, 9, 7, 4, 5, 7} ,
{ 2, 3, 1, 8, 9, 7, 0, 6, 7, 7, 2, 5, 4, 7, 9, 1, 5, 0, 6, 1, 5, 0, 5, 5, 0, 4, 9, 5, 3, 9, 2, 2, 9, 7, 9, 5, 3, 0, 9, 0, 1, 1, 2, 9, 9, 6, 7, 5, 1, 9} ,
{ 8, 6, 1, 8, 8, 0, 8, 8, 2, 2, 5, 8, 7, 5, 3, 1, 4, 5, 2, 9, 5, 8, 4, 0, 9, 9, 2, 5, 1, 2, 0, 3, 8, 2, 9, 0, 0, 9, 4, 0, 7, 7, 7, 0, 7, 7, 5, 6, 7, 2} ,
{ 1, 1, 3, 0, 6, 7, 3, 9, 7, 0, 8, 3, 0, 4, 7, 2, 4, 4, 8, 3, 8, 1, 6, 5, 3, 3, 8, 7, 3, 5, 0, 2, 3, 4, 0, 8, 4, 5, 6, 4, 7, 0, 5, 8, 0, 7, 7, 3, 0, 8} ,
{ 8, 2, 9, 5, 9, 1, 7, 4, 7, 6, 7, 1, 4, 0, 3, 6, 3, 1, 9, 8, 0, 0, 8, 1, 8, 7, 1, 2, 9, 0, 1, 1, 8, 7, 5, 4, 9, 1, 3, 1, 0, 5, 4, 7, 1, 2, 6, 5, 8, 1} ,
{ 9, 7, 6, 2, 3, 3, 3, 1, 0, 4, 4, 8, 1, 8, 3, 8, 6, 2, 6, 9, 5, 1, 5, 4, 5, 6, 3, 3, 4, 9, 2, 6, 3, 6, 6, 5, 7, 2, 8, 9, 7, 5, 6, 3, 4, 0, 0, 5, 0, 0} ,
{ 4, 2, 8, 4, 6, 2, 8, 0, 1, 8, 3, 5, 1, 7, 0, 7, 0, 5, 2, 7, 8, 3, 1, 8, 3, 9, 4, 2, 5, 8, 8, 2, 1, 4, 5, 5, 2, 1, 2, 2, 7, 2, 5, 1, 2, 5, 0, 3, 2, 7} ,
{ 5, 5, 1, 2, 1, 6, 0, 3, 5, 4, 6, 9, 8, 1, 2, 0, 0, 5, 8, 1, 7, 6, 2, 1, 6, 5, 2, 1, 2, 8, 2, 7, 6, 5, 2, 7, 5, 1, 6, 9, 1, 2, 9, 6, 8, 9, 7, 7, 8, 9} ,
{ 3, 2, 2, 3, 8, 1, 9, 5, 7, 3, 4, 3, 2, 9, 3, 3, 9, 9, 4, 6, 4, 3, 7, 5, 0, 1, 9, 0, 7, 8, 3, 6, 9, 4, 5, 7, 6, 5, 8, 8, 3, 3, 5, 2, 3, 9, 9, 8, 8, 6} ,
{ 7, 5, 5, 0, 6, 1, 6, 4, 9, 6, 5, 1, 8, 4, 7, 7, 5, 1, 8, 0, 7, 3, 8, 1, 6, 8, 8, 3, 7, 8, 6, 1, 0, 9, 1, 5, 2, 7, 3, 5, 7, 9, 2, 9, 7, 0, 1, 3, 3, 7} ,
{ 6, 2, 1, 7, 7, 8, 4, 2, 7, 5, 2, 1, 9, 2, 6, 2, 3, 4, 0, 1, 9, 4, 2, 3, 9, 9, 6, 3, 9, 1, 6, 8, 0, 4, 4, 9, 8, 3, 9, 9, 3, 1, 7, 3, 3, 1, 2, 7, 3, 1} ,
{ 3, 2, 9, 2, 4, 1, 8, 5, 7, 0, 7, 1, 4, 7, 3, 4, 9, 5, 6, 6, 9, 1, 6, 6, 7, 4, 6, 8, 7, 6, 3, 4, 6, 6, 0, 9, 1, 5, 0, 3, 5, 9, 1, 4, 6, 7, 7, 5, 0, 4} ,
{ 9, 9, 5, 1, 8, 6, 7, 1, 4, 3, 0, 2, 3, 5, 2, 1, 9, 6, 2, 8, 8, 9, 4, 8, 9, 0, 1, 0, 2, 4, 2, 3, 3, 2, 5, 1, 1, 6, 9, 1, 3, 6, 1, 9, 6, 2, 6, 6, 2, 2} ,
{ 7, 3, 2, 6, 7, 4, 6, 0, 8, 0, 0, 5, 9, 1, 5, 4, 7, 4, 7, 1, 8, 3, 0, 7, 9, 8, 3, 9, 2, 8, 6, 8, 5, 3, 5, 2, 0, 6, 9, 4, 6, 9, 4, 4, 5, 4, 0, 7, 2, 4} ,
{ 7, 6, 8, 4, 1, 8, 2, 2, 5, 2, 4, 6, 7, 4, 4, 1, 7, 1, 6, 1, 5, 1, 4, 0, 3, 6, 4, 2, 7, 9, 8, 2, 2, 7, 3, 3, 4, 8, 0, 5, 5, 5, 5, 6, 2, 1, 4, 8, 1, 8} ,
{ 9, 7, 1, 4, 2, 6, 1, 7, 9, 1, 0, 3, 4, 2, 5, 9, 8, 6, 4, 7, 2, 0, 4, 5, 1, 6, 8, 9, 3, 9, 8, 9, 4, 2, 2, 1, 7, 9, 8, 2, 6, 0, 8, 8, 0, 7, 6, 8, 5, 2} ,
{ 8, 7, 7, 8, 3, 6, 4, 6, 1, 8, 2, 7, 9, 9, 3, 4, 6, 3, 1, 3, 7, 6, 7, 7, 5, 4, 3, 0, 7, 8, 0, 9, 3, 6, 3, 3, 3, 3, 0, 1, 8, 9, 8, 2, 6, 4, 2, 0, 9, 0} ,
{ 1, 0, 8, 4, 8, 8, 0, 2, 5, 2, 1, 6, 7, 4, 6, 7, 0, 8, 8, 3, 2, 1, 5, 1, 2, 0, 1, 8, 5, 8, 8, 3, 5, 4, 3, 2, 2, 3, 8, 1, 2, 8, 7, 6, 9, 5, 2, 7, 8, 6} ,
{ 7, 1, 3, 2, 9, 6, 1, 2, 4, 7, 4, 7, 8, 2, 4, 6, 4, 5, 3, 8, 6, 3, 6, 9, 9, 3, 0, 0, 9, 0, 4, 9, 3, 1, 0, 3, 6, 3, 6, 1, 9, 7, 6, 3, 8, 7, 8, 0, 3, 9} ,
{ 6, 2, 1, 8, 4, 0, 7, 3, 5, 7, 2, 3, 9, 9, 7, 9, 4, 2, 2, 3, 4, 0, 6, 2, 3, 5, 3, 9, 3, 8, 0, 8, 3, 3, 9, 6, 5, 1, 3, 2, 7, 4, 0, 8, 0, 1, 1, 1, 1, 6} ,
{ 6, 6, 6, 2, 7, 8, 9, 1, 9, 8, 1, 4, 8, 8, 0, 8, 7, 7, 9, 7, 9, 4, 1, 8, 7, 6, 8, 7, 6, 1, 4, 4, 2, 3, 0, 0, 3, 0, 9, 8, 4, 4, 9, 0, 8, 5, 1, 4, 1, 1} ,
{ 6, 0, 6, 6, 1, 8, 2, 6, 2, 9, 3, 6, 8, 2, 8, 3, 6, 7, 6, 4, 7, 4, 4, 7, 7, 9, 2, 3, 9, 1, 8, 0, 3, 3, 5, 1, 1, 0, 9, 8, 9, 0, 6, 9, 7, 9, 0, 7, 1, 4} ,
{ 8, 5, 7, 8, 6, 9, 4, 4, 0, 8, 9, 5, 5, 2, 9, 9, 0, 6, 5, 3, 6, 4, 0, 4, 4, 7, 4, 2, 5, 5, 7, 6, 0, 8, 3, 6, 5, 9, 9, 7, 6, 6, 4, 5, 7, 9, 5, 0, 9, 6} ,
{ 6, 6, 0, 2, 4, 3, 9, 6, 4, 0, 9, 9, 0, 5, 3, 8, 9, 6, 0, 7, 1, 2, 0, 1, 9, 8, 2, 1, 9, 9, 7, 6, 0, 4, 7, 5, 9, 9, 4, 9, 0, 1, 9, 7, 2, 3, 0, 2, 9, 7} ,
{ 6, 4, 9, 1, 3, 9, 8, 2, 6, 8, 0, 0, 3, 2, 9, 7, 3, 1, 5, 6, 0, 3, 7, 1, 2, 0, 0, 4, 1, 3, 7, 7, 9, 0, 3, 7, 8, 5, 5, 6, 6, 0, 8, 5, 0, 8, 9, 2, 5, 2} ,
{ 1, 6, 7, 3, 0, 9, 3, 9, 3, 1, 9, 8, 7, 2, 7, 5, 0, 2, 7, 5, 4, 6, 8, 9, 0, 6, 9, 0, 3, 7, 0, 7, 5, 3, 9, 4, 1, 3, 0, 4, 2, 6, 5, 2, 3, 1, 5, 0, 1, 1} ,
{ 9, 4, 8, 0, 9, 3, 7, 7, 2, 4, 5, 0, 4, 8, 7, 9, 5, 1, 5, 0, 9, 5, 4, 1, 0, 0, 9, 2, 1, 6, 4, 5, 8, 6, 3, 7, 5, 4, 7, 1, 0, 5, 9, 8, 4, 3, 6, 7, 9, 1} ,
{ 7, 8, 6, 3, 9, 1, 6, 7, 0, 2, 1, 1, 8, 7, 4, 9, 2, 4, 3, 1, 9, 9, 5, 7, 0, 0, 6, 4, 1, 9, 1, 7, 9, 6, 9, 7, 7, 7, 5, 9, 9, 0, 2, 8, 3, 0, 0, 6, 9, 9} ,
{ 1, 5, 3, 6, 8, 7, 1, 3, 7, 1, 1, 9, 3, 6, 6, 1, 4, 9, 5, 2, 8, 1, 1, 3, 0, 5, 8, 7, 6, 3, 8, 0, 2, 7, 8, 4, 1, 0, 7, 5, 4, 4, 4, 9, 7, 3, 3, 0, 7, 8} ,
{ 4, 0, 7, 8, 9, 9, 2, 3, 1, 1, 5, 5, 3, 5, 5, 6, 2, 5, 6, 1, 1, 4, 2, 3, 2, 2, 4, 2, 3, 2, 5, 5, 0, 3, 3, 6, 8, 5, 4, 4, 2, 4, 8, 8, 9, 1, 7, 3, 5, 3} ,
{ 4, 4, 8, 8, 9, 9, 1, 1, 5, 0, 1, 4, 4, 0, 6, 4, 8, 0, 2, 0, 3, 6, 9, 0, 6, 8, 0, 6, 3, 9, 6, 0, 6, 7, 2, 3, 2, 2, 1, 9, 3, 2, 0, 4, 1, 4, 9, 5, 3, 5} ,
{ 4, 1, 5, 0, 3, 1, 2, 8, 8, 8, 0, 3, 3, 9, 5, 3, 6, 0, 5, 3, 2, 9, 9, 3, 4, 0, 3, 6, 8, 0, 0, 6, 9, 7, 7, 7, 1, 0, 6, 5, 0, 5, 6, 6, 6, 3, 1, 9, 5, 4} ,
{ 8, 1, 2, 3, 4, 8, 8, 0, 6, 7, 3, 2, 1, 0, 1, 4, 6, 7, 3, 9, 0, 5, 8, 5, 6, 8, 5, 5, 7, 9, 3, 4, 5, 8, 1, 4, 0, 3, 6, 2, 7, 8, 2, 2, 7, 0, 3, 2, 8, 0} ,
{ 8, 2, 6, 1, 6, 5, 7, 0, 7, 7, 3, 9, 4, 8, 3, 2, 7, 5, 9, 2, 2, 3, 2, 8, 4, 5, 9, 4, 1, 7, 0, 6, 5, 2, 5, 0, 9, 4, 5, 1, 2, 3, 2, 5, 2, 3, 0, 6, 0, 8} ,
{ 2, 2, 9, 1, 8, 8, 0, 2, 0, 5, 8, 7, 7, 7, 3, 1, 9, 7, 1, 9, 8, 3, 9, 4, 5, 0, 1, 8, 0, 8, 8, 8, 0, 7, 2, 4, 2, 9, 6, 6, 1, 9, 8, 0, 8, 1, 1, 1, 9, 7} ,
{ 7, 7, 1, 5, 8, 5, 4, 2, 5, 0, 2, 0, 1, 6, 5, 4, 5, 0, 9, 0, 4, 1, 3, 2, 4, 5, 8, 0, 9, 7, 8, 6, 8, 8, 2, 7, 7, 8, 9, 4, 8, 7, 2, 1, 8, 5, 9, 6, 1, 7} ,
{ 7, 2, 1, 0, 7, 8, 3, 8, 4, 3, 5, 0, 6, 9, 1, 8, 6, 1, 5, 5, 4, 3, 5, 6, 6, 2, 8, 8, 4, 0, 6, 2, 2, 5, 7, 4, 7, 3, 6, 9, 2, 2, 8, 4, 5, 0, 9, 5, 1, 6} ,
{ 2, 0, 8, 4, 9, 6, 0, 3, 9, 8, 0, 1, 3, 4, 0, 0, 1, 7, 2, 3, 9, 3, 0, 6, 7, 1, 6, 6, 6, 8, 2, 3, 5, 5, 5, 2, 4, 5, 2, 5, 2, 8, 0, 4, 6, 0, 9, 7, 2, 2} ,
{ 5, 3, 5, 0, 3, 5, 3, 4, 2, 2, 6, 4, 7, 2, 5, 2, 4, 2, 5, 0, 8, 7, 4, 0, 5, 4, 0, 7, 5, 5, 9, 1, 7, 8, 9, 7, 8, 1, 2, 6, 4, 3, 3, 0, 3, 3, 1, 6, 9, 0}
};
vector<int> first;
vector<int> last;
long sum1 = 0;
// sum numbers col by col
for(int col = 49; col >= 0; col--){
for(int row = 0; row < 100; row++){
sum1 = sum1 + allnum[row][col];
}
// after break first loop
int m = sum1 % 10;
first.push_back(m);
sum1 = (sum1 - m) / 10;
last.push_back(sum1);
}
// cout last carry that vector has then cout first number from all sum opreations
cout << last[last.size() - 1];
for(int n = first.size() - 1; n > 0; n--){
cout<< first[n] ;
}
return 0;
}