若a[i]-i(i从1开始)的值小于0,那么a[i]必须改变
若a[i]-i的值大于等于0,将a[i]-i存入新的数组中,求出新数组的最长非严格上升子序列,所得即最多的,不用改变的数。
#include<stdio.h> #include<math.h> #include<cstring> #include<stack> #include<iostream> #include<algorithm> #include<queue> #define MAXSIZE 100005 #define LL long long using namespace std; int main() { int s[MAXSIZE],s1[MAXSIZE]; memset(s,0,sizeof(s)); memset(s1,0,sizeof(s1)); int n,len,a,ans,maxn,top; len = 0; ans = 0; scanf("%d",&n); for(int i=1;i<=n;i++) { scanf("%d",&a); if(a-i >= 0) { s[len++] = a-i; } else { ans++; } } maxn = 0; top = 0; if(len) s1[top++] = s[0]; for(int i=1;i<len;i++) { if(s[i] >= s1[top-1]) { s1[top++] = s[i]; } else { int pos = upper_bound(s1,s1+top,s[i]) - s1; s1[pos] = s[i]; } } printf("%d ",ans+len-top); return 0; }