POJ 3368 Frequent Values(RMQ)
2016-03-02 21:48
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题意:给出一个非降序排列的整数数组a1,a2,...an,你的任务是对于一系列询问(i, j),回答ai,ai+1,...aj中出现最多次数的值所出现的次数?
思路:将原始序列处理一下,令f[i]为记录当前i连续的个数,对于每个询问区间(l,r)将它分为两个部分,一个部分为l到它第一个不相同的数,之后的部分直接RMQ查询,然后取最大值即可
Trick;在区间查询的时候没有留意有L>R的情况,WA无数次
Description
You are given a sequence of n integers a1 , a2 , ... , an in non-decreasing order. In addition to that, you are given several queries consisting of indices i and j (1
≤ i ≤ j ≤ n). For each query, determine the most frequent value among the integers ai , ... , aj.
Input
The input consists of several test cases. Each test case starts with a line containing two integers n and q (1 ≤ n, q ≤ 100000). The next line contains n integers a1 , ... , an (-100000
≤ ai ≤ 100000, for each i ∈ {1, ..., n}) separated by spaces. You can assume that for each i ∈ {1, ..., n-1}: ai ≤ ai+1. The following q lines contain one query each, consisting of two
integers i and j (1 ≤ i ≤ j ≤ n), which indicate the boundary indices for the
query.
The last test case is followed by a line containing a single 0.
Output
For each query, print one line with one integer: The number of occurrences of the most frequent value within the given range.
Sample Input
Sample Output
思路:将原始序列处理一下,令f[i]为记录当前i连续的个数,对于每个询问区间(l,r)将它分为两个部分,一个部分为l到它第一个不相同的数,之后的部分直接RMQ查询,然后取最大值即可
Trick;在区间查询的时候没有留意有L>R的情况,WA无数次
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> #include<cmath> using namespace std; const int maxn = 200000+100; int dmax[maxn][20]; int f[maxn]; int a[maxn]; void initmax(int n,int f[]) { for (int i = 1;i<=n;i++) dmax[i][0]=f[i]; for (int j = 1;(1<<j)<=n;j++) for (int i = 1;i+(1<<j)-1<=n;i++) dmax[i][j]=max(dmax[i][j-1],dmax[i+(1<<(j-1))][j-1]); } int getmax(int L,int R) { if (L>R) return 0; int k = 0; while ((1<<(k+1))<=R-L+1) k++; return max(dmax[L][k],dmax[R-(1<<k)+1][k]); } int main() { int n,q; while (scanf("%d",&n) && n) { scanf("%d",&q); f[1]=1; for (int i = 1;i<=n;i++) { scanf("%d",&a[i]); if (i==1) continue; if (a[i]!=a[i-1]) f[i]=1; else f[i]=f[i-1]+1; } initmax(n,f); while (q--) { int L,R; scanf("%d%d",&L,&R); if (L==R) { printf("1\n"); } else { int temp = L; while (temp<=R && a[temp]==a[temp-1]) temp++; int ans = getmax(temp,R); ans = max(ans,temp-L); printf("%d\n",ans); } } } }
Description
You are given a sequence of n integers a1 , a2 , ... , an in non-decreasing order. In addition to that, you are given several queries consisting of indices i and j (1
≤ i ≤ j ≤ n). For each query, determine the most frequent value among the integers ai , ... , aj.
Input
The input consists of several test cases. Each test case starts with a line containing two integers n and q (1 ≤ n, q ≤ 100000). The next line contains n integers a1 , ... , an (-100000
≤ ai ≤ 100000, for each i ∈ {1, ..., n}) separated by spaces. You can assume that for each i ∈ {1, ..., n-1}: ai ≤ ai+1. The following q lines contain one query each, consisting of two
integers i and j (1 ≤ i ≤ j ≤ n), which indicate the boundary indices for the
query.
The last test case is followed by a line containing a single 0.
Output
For each query, print one line with one integer: The number of occurrences of the most frequent value within the given range.
Sample Input
10 3 -1 -1 1 1 1 1 3 10 10 10 2 3 1 10 5 10 0
Sample Output
1 4 3
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