[CF710C]Magic Odd Square(构造)

题目链接:http://codeforces.com/contest/710/problem/C

题意:构造一个矩阵,使得行、列、对角线和都是奇数。

可以转换成构造幻方,则每一行、每一列的和为n*(n*n+1)/2。参考http://www.cnblogs.com/codingmylife/archive/2010/12/24/1915728.html 罗伯法

 1 /*
 2 ━━━━━┒ギリギリ♂ eye!
 3 ┓┏┓┏┓┃キリキリ♂ mind!
 4 ┛┗┛┗┛┃\○/
 5 ┓┏┓┏┓┃ /
 6 ┛┗┛┗┛┃ノ)
 7 ┓┏┓┏┓┃
 8 ┛┗┛┗┛┃
 9 ┓┏┓┏┓┃
10 ┛┗┛┗┛┃
11 ┓┏┓┏┓┃
12 ┛┗┛┗┛┃
13 ┓┏┓┏┓┃
14 ┃┃┃┃┃┃
15 ┻┻┻┻┻┻
16 */
17 #include <algorithm>
18 #include <iostream>
19 #include <iomanip>
20 #include <cstring>
21 #include <climits>
22 #include <complex>
23 #include <cassert>
24 #include <cstdio>
25 #include <bitset>
26 #include <vector>
27 #include <deque>
28 #include <queue>
29 #include <stack>
30 #include <ctime>
31 #include <set>
32 #include <map>
33 #include <cmath>
34 using namespace std;
35 #define fr first
36 #define sc second
37 #define cl clear
38 #define BUG puts("here!!!")
39 #define W(a) while(a--)
40 #define pb(a) push_back(a)
41 #define Rint(a) scanf("%d", &a)
42 #define Rs(a) scanf("%s", a)
43 #define Cin(a) cin >> a
44 #define FRead() freopen("in", "r", stdin)
45 #define FWrite() freopen("out", "w", stdout)
46 #define Rep(i, len) for(int i = 0; i < (len); i++)
47 #define For(i, a, len) for(int i = (a); i < (len); i++)
48 #define Cls(a) memset((a), 0, sizeof(a))
49 #define Clr(a, x) memset((a), (x), sizeof(a))
50 #define Full(a) memset((a), 0x7f7f7f, sizeof(a))
51 #define lrt rt << 1
52 #define rrt rt << 1 | 1
53 #define pi 3.14159265359
54 #define RT return
55 #define lowbit(x) x & (-x)
56 #define onenum(x) __builtin_popcount(x)
57 typedef long long LL;
58 typedef long double LD;
59 typedef unsigned long long ULL;
60 typedef pair<int, int> pii;
61 typedef pair<string, int> psi;
62 typedef pair<LL, LL> pll;
63 typedef map<string, int> msi;
64 typedef vector<int> vi;
65 typedef vector<LL> vl;
66 typedef vector<vl> vvl;
67 typedef vector<bool> vb;
68 
69 const int maxn = 59;
70 int n;
71 int G[maxn][maxn];
72 
73 int main() {
74     // FRead();
75     while(~Rint(n)) {
76         Cls(G);
77         int i = 0, j = (n - 1) / 2;
78         For(k, 1, n*n+1) {
79             G[i][j] = k;
80             if(k % n == 0) {
81                 i++;
82                 continue;
83             }
84             i--; j++;
85             if(i == -1) i += n;
86             else if(j > n - 1) j -= n;
87         }
88         Rep(i, n) {
89             Rep(j, n) {
90                 printf("%d ", G[i][j]);
91             }
92             printf("
");
93         }
94     }
95     RT 0;
96 }
原文地址:https://www.cnblogs.com/kirai/p/5798195.html