[Usaco2007 Jan]Balanced Lineup
一道RMQ板子题,分别维护最大值和最小值,不解释。
- #include<cstdio>
- #include<iostream>
- #include<algorithm>
- #include<cmath>
- #include<cstring>
- #include<cstdlib>
- #include<cctype>
- #include<stack>
- #include<queue>
- #include<vector>
- using namespace std;
- #define enter puts("")
- #define space putchar(' ')
- #define Mem(a) memset(a, 0, sizeof(a))
- typedef long long ll;
- typedef double db;
- const int INF = 0x3f3f3f3f;
- const db eps =1e-;
- const int maxn = 5e4 + ;
- inline ll read()
- {
- ll ans = ;
- char ch = getchar(), last = ' ';
- while(!isdigit(ch)) {last = ch; ch = getchar();}
- while(isdigit(ch)) {ans = ans * + ch - ''; ch = getchar();}
- if(last == '-') ans = -ans;
- return ans;
- }
- inline void write(ll x)
- {
- if(x < ) putchar('-'), x = -x;
- if(x >= ) write(x / );
- putchar(x % + '');
- }
- int n, m, a[maxn];
- int dp[maxn][][], b[maxn];
- void RMQ()
- {
- for(int i = ; i <= n; ++i) dp[i][][] = dp[i][][] = a[i];
- for(int j = ; ( << j) <= n; ++j)
- for(int i = ; i + ( << j) - <= n; ++i)
- {
- dp[i][j][] = max(dp[i][j - ][], dp[i + ( << (j - ))][j - ][]);
- dp[i][j][] = min(dp[i][j - ][], dp[i + ( << (j - ))][j - ][]);
- }
- int x = ;
- for(int i = ; i <= n; ++i)
- {
- b[i] = x;
- if(( << (x + )) <= (i + )) x++;
- }
- }
- int query(int L, int R, bool flag)
- {
- int k = b[R - L + ];
- if(flag) return min(dp[L][k][flag], dp[R - ( << k) + ][k][flag]); //应该是R - (1 << k) + 1,不是R - k + 1……
- else return max(dp[L][k][flag], dp[R - ( << k) + ][k][flag]);
- }
- int main()
- {
- n = read(); m = read();
- for(int i = ; i <= n; ++i) a[i] = read();
- RMQ();
- for(int i = ; i <= m; ++i)
- {
- int L = read(), R = read();
- write(query(L, R, ) - query(L, R, )); enter;
- }
- return ;
- }
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