题意 :
- 给一序列,将其分为若干段,要求每一小段内排序后整体非递减,求最多能分为多少段
思路 :
- 对一段内部,必然有最大值和最小值,要让分的段数最多,只要让下一段的最小值大于这段的最大值,就可以多分一段
- 所以直接找每个数能接受的最大值和最小值
- 即找这个数往前的最大值,下个数往后的最小值(找时注意设立两个哨兵)
#include <iostream>
#include <algorithm>
#include <cstring>
#include <queue>
#define debug(a) cout << #a << " = " << a << endl;
#define x first
#define y second
using namespace std;
typedef long long ll;
const int N = 1e6 + 10;
int n;
int a[N];
int maxx[N], minn[N];
int main()
{
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int _ = 1;
// cin >> _;
while (_ -- )
{
cin >> n;
for (int i = 1; i <= n; i ++ ) cin >> a[i];
maxx[0] = 0;
minn[n + 1] = 1e9 + 7;
for (int i = 1; i <= n; i ++ )
maxx[i] = max(maxx[i - 1], a[i]);
for (int i = n; i >= 1; i -- )
minn[i] = min(minn[i + 1], a[i]);
int ans = 0;
for (int i = 1; i <= n; i ++ )
if (maxx[i] <= minn[i + 1])
ans ++ ;
cout << ans << endl;
}
return 0;
}