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  • 找规律+模拟 之 codevs 1160 蛇形矩阵

    //  [10/11/2014 Sjm]
    /*
    (数组下标默认从 1 开始)
    经分析可知:
    令 myNode = ((n + 1) >> 1),
    则: myArr[myNode][myNode] = 1^2
    	 myArr[myNode + 1][myNode + 1] = (1 + 2)^2
    	 myArr[myNode + 2][myNode + 2] = (3 + 2)^2
    	 …………
    	 据此可模拟生成过程。。。
    */
     1 #include <iostream>
     2 #include <cstdlib>
     3 #include <cstdio>
     4 #include <cmath>
     5 #include <algorithm>
     6 #include <functional>
     7 #include <string>
     8 #include <cstring>
     9 #include <vector>
    10 #include <stack>
    11 #include <queue>
    12 #include <map>
    13 using namespace std;
    14 #define eps 1e-8
    15 #define MAX_LEN 102
    16 
    17 int n;
    18 int myArr[MAX_LEN][MAX_LEN];
    19 
    20 void Solve() {
    21     int val = 1;
    22     int myNode = ((n + 1) >> 1);
    23     myArr[myNode][myNode] = val * val;
    24     for (int i = myNode + 1; i <= n; ++i) {
    25         val += 2;
    26         myArr[i][i] = val * val;
    27         int northwest = myNode - (i - myNode);
    28         for (int j = 1; j < val; ++j) {
    29             myArr[i][i - j] = myArr[i][i] - j;
    30         }
    31         for (int j = 1; j < val; ++j) {
    32             myArr[i - j][northwest] = myArr[i][northwest] - j;
    33         }
    34         for (int j = 1; j < val; ++j) {
    35             myArr[northwest][northwest + j] = myArr[northwest][northwest] - j;
    36         }
    37         for (int j = 1; j < (val - 1); ++j) {
    38             myArr[northwest + j][i] = myArr[northwest][i] - j;
    39         }
    40     }
    41     int Sum = 0;
    42     for (int i = 1; i <= n; ++i) {
    43         for (int j = 1; j <= n; ++j) {
    44             printf("%d", myArr[i][j]);
    45             if (j != n) printf(" ");
    46             else printf("
    ");
    47             if ((i == j) || (i + j == n + 1)) {
    48                 Sum += myArr[i][j];
    49             }
    50         }
    51     }
    52     printf("%d
    ", Sum);
    53 }
    54 
    55 int main() {
    56     scanf("%d", &n);
    57     Solve();
    58     return 0;
    59 }
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  • 原文地址:https://www.cnblogs.com/shijianming/p/4140796.html
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