• hdu-1892 See you~---二维树状数组运用


    题目链接:

    http://acm.hdu.edu.cn/showproblem.php?pid=1892

    题目大意:

    题目大意:有很多方格,每个方格对应的坐标为(I,J),刚开始时每个格子里有1本书,然后让你统计一片区域有多少本书,还可以增加书和减少,移动书。

    解题思路:

    直接二维数组数组模拟

    注意:

    每个下标+1,从(1, 1)开始

    求区域和的时候给出的x1 y1 和x2 y2不是标准的正对角线,需要转化

      1  #include<cstdio>
      2 #include<cstring>
      3 #include<iostream>
      4 #include<algorithm>
      5 #include<string>
      6 #include<cmath>
      7 #include<set>
      8 #include<queue>
      9 #include<map>
     10 #include<stack>
     11 #include<vector>
     12 #include<list>
     13 #include<deque>
     14 #include<sstream>
     15 #include<cctype>
     16 #define REP(i, n) for(int i = 0; i < (n); i++)
     17 #define FOR(i, s, t) for(int i = (s); i < (t); i++)
     18 #define MEM(a, x) memset(a, x, sizeof(a));
     19 using namespace std;
     20 typedef long long ll;
     21 typedef unsigned long long ull;
     22 const int maxn = 1010;
     23 const double eps = 1e-10;
     24 const int INF = 1 << 30;
     25 const int dir[4][2] = {1,0,0,1,0,-1,-1,0};
     26 const double pi = 3.1415926535898;
     27 int T, n, m, cases;
     28 int tree[maxn][maxn], a[maxn][maxn];
     29 int lowbit(int x)
     30 {
     31     return x&(-x);
     32 }
     33 int sum(int x, int y)
     34 {
     35     int ans = 0;
     36     for(int i = x; i > 0; i -= lowbit(i))
     37         for(int j = y; j > 0; j -= lowbit(j))
     38         ans += tree[i][j];
     39     return ans;
     40 }
     41 void add(int x, int y, int d)
     42 {
     43     for(int i = x; i < maxn; i += lowbit(i))
     44     {
     45         for(int j = y; j < maxn; j += lowbit(j))
     46         {
     47             tree[i][j] += d;
     48         }
     49     }
     50 }
     51 int main()
     52 {
     53     scanf("%d", &T);
     54     char s[3];
     55     int x, y, x1, y1, x2, y2, d;
     56     while(T--)
     57     {
     58         scanf("%d", &n);
     59         MEM(tree, 0);
     60         for(int i = 1; i < maxn; i++)
     61         {
     62             for(int j = 1; j < maxn; j++)
     63             {
     64                 add(i, j, 1);
     65                 a[i][j] = 1;
     66             }
     67         }
     68         printf("Case %d:
    ", ++cases);
     69         while(n--)
     70         {
     71             scanf("%s", s);
     72             if(s[0] == 'S')
     73             {
     74                 scanf("%d%d%d%d", &x1, &y1, &x2, &y2);
     75                 ///不是标准的x1<x2, y1<y2,要对其进行转化
     76                 int a, b, c, d;
     77                 a = min(x1, x2);a++;
     78                 b = min(y1, y2);b++;
     79                 c = max(x1, x2);c++;
     80                 d = max(y1, y2);d++;
     81                 printf("%d
    ", sum(c, d) + sum(a - 1, b - 1) - sum(a - 1, d) - sum(c, b - 1));
     82             }
     83             else if(s[0] == 'A')
     84             {
     85                 scanf("%d%d%d", &x, &y, &d);
     86                 x++, y++;
     87                 add(x, y, d);
     88                 a[x][y] += d;
     89             }
     90             else if(s[0] == 'D')
     91             {
     92                 scanf("%d%d%d", &x, &y, &d);
     93                 x++, y++;
     94                 if(d > a[x][y])d = a[x][y];
     95                 add(x, y, -d);
     96                 a[x][y] -= d;
     97             }
     98             else
     99             {
    100                 scanf("%d%d%d%d%d", &x1, &y1, &x2, &y2, &d);
    101                 x1++, y1++, x2++, y2++;
    102                 if(d > a[x1][y1])d = a[x1][y1];
    103                 add(x1, y1, -d);
    104                 add(x2, y2, d);
    105                 a[x1][y1] -= d;
    106                 a[x2][y2] += d;
    107             }
    108         }
    109     }
    110     return 0;
    111 }
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  • 原文地址:https://www.cnblogs.com/fzl194/p/8955103.html
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