codeforces 831 A
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A. Unimodal Arraytime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputArray of integers is unimodal, if:
- it is strictly increasing in the beginning;
- after that it is constant;
- after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5, 7, 11, 11, 2, 1], [4, 4, 2], [7], but the following three are not unimodal: [5, 5, 6, 6, 1], [1, 2, 1, 2], [4, 5, 5, 6].
Write a program that checks if an array is unimodal.
InputThe first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the array.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 1 000) — the elements of the array.
OutputPrint "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower).
Examplesinput61 5 5 5 4 2outputYESinput510 20 30 20 10outputYESinput41 2 1 2outputNOinput73 3 3 3 3 3 3outputYES题意:给你n个数,要你判断他是否是单峰的。NoteIn the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively).
单峰定义:一开始就严格增加; 之后它是不变的; 之后它是严格减少。第一个块(增加)和最后一个块(减少)可能不存在。 允许这两个块都不存在。例如,以下三个阵列是单峰的:[5,7,11,11,2,1],[4,4,2],[7],但以下三个不是单峰:[5,5,6 ,6,1],[1,2,2,2],[4,5,5,6]。
代码:#include<bits/stdc++.h>using namespace std;int a[105];int main(){ int n; while(~scanf("%d",&n)){ for(int i=0;i<n;i++) { scanf("%d",&a[i]); } bool flag=false; int num=a[0]; int cnt=0; for(int i=1;i<n;i++) { if(a[i]<num) { cnt=i; break; } else num=a[i]; } if(cnt!=0){ for(int i=cnt;i<n-1;i++) { if(a[i+1]>=a[i]) { flag=true; break; } } } for(int i=0;a[i]<num;i++) { if(a[i]==a[i+1]) { flag=true; break; } } if(flag) puts("NO"); else puts("YES"); } return 0;}
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