• Codeforces 295A. Greg and Array


    Greg has an array a = a1, a2, ..., an and m operations. Each operation looks as: liridi(1 ≤ li ≤ ri ≤ n). To apply operation i to the array means to increase all array elements with numbers li, li + 1, ..., ri by value di.

    Greg wrote down k queries on a piece of paper. Each query has the following form: xiyi(1 ≤ xi ≤ yi ≤ m). That means that one should apply operations with numbers xi, xi + 1, ..., yi to the array.

    Now Greg is wondering, what the array a will be after all the queries are executed. Help Greg.

    Input

    The first line contains integers nmk (1 ≤ n, m, k ≤ 105). The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 105) — the initial array.

    Next m lines contain operations, the operation number i is written as three integers: liridi(1 ≤ li ≤ ri ≤ n), (0 ≤ di ≤ 105).

    Next k lines contain the queries, the query number i is written as two integers: xiyi(1 ≤ xi ≤ yi ≤ m).

    The numbers in the lines are separated by single spaces.

    Output

    On a single line print n integers a1, a2, ..., an — the array after executing all the queries. Separate the printed numbers by spaces.

    Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams of the %I64d specifier.

    numopt[i]表示[i,n]进行了一次操作,所以i的操作次数就是∑numopt[x] (x <=i)

    同理对后面的数组累加也是这种操作 

    #include <bits/stdc++.h>
    
    typedef long long LL;
    using namespace std;
    LL n,m,k;
    #define SIZE 100005
    
    struct optnode{
      LL l,r,d;
    } opt[SIZE];
    LL numopt[SIZE] = {0};
    
    LL a[SIZE],c[SIZE] = {0};
    
    int main(){
      // freopen("test.in","r",stdin);
      ios::sync_with_stdio(false);
      cin >> n >> m >> k;
      for (LL  i=1;i<=n;i++){
        cin >> a[i];
      }
      for (LL  i=1;i<=m;i++){
        cin >> opt[i].l >> opt[i].r >> opt[i].d;
      }
      for (LL  i=1;i<=k;i++){
        LL x,y;
        cin >> x >> y;
        numopt[x] ++; numopt[y+1] --;
      }
      LL sum = 0;
      for (LL i=1;i<=m;i++){
        sum += numopt[i];
        opt[i].d *= sum;
      }
    
      for (LL i=1;i<=m;i++){
        c[opt[i].l] += opt[i].d;
        c[opt[i].r+1] -= opt[i].d;
      }
    
      sum = 0;
      for (LL i=1;i<=n;i++){
        sum += c[i];
        cout << a[i] + sum << " ";
      }
      return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/ToTOrz/p/7601442.html
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