嘟嘟嘟
正如某题解所说,这题很有误导性:我就一直在想凸包。
随便一个数据,就能把凸包hack掉:
这样我们的点G就gg了。
所以正解是什么呢?dp。
题解看这位老哥的吧,我感觉挺好懂的:题解 P4563 【[JXOI2018]守卫】
#include<cstdio>
#include<iostream>
#include<cmath>
#include<algorithm>
#include<cstring>
#include<cstdlib>
#include<cctype>
#include<vector>
#include<stack>
#include<queue>
using namespace std;
#define enter puts("")
#define space putchar(' ')
#define Mem(a, x) memset(a, x, sizeof(a))
#define In inline
typedef long long ll;
typedef double db;
const int INF = 0x3f3f3f3f;
const db eps = 1e-8;
const int maxn = 5e3 + 5;
inline ll read()
{
ll ans = 0;
char ch = getchar(), last = ' ';
while(!isdigit(ch)) last = ch, ch = getchar();
while(isdigit(ch)) ans = (ans << 1) + (ans << 3) + ch - '0', ch = getchar();
if(last == '-') ans = -ans;
return ans;
}
inline void write(ll x)
{
if(x < 0) x = -x, putchar('-');
if(x >= 10) write(x / 10);
putchar(x % 10 + '0');
}
int n;
struct Point
{
ll x, y;
In Point operator + (const Point& oth)const
{
return (Point){x + oth.x, y + oth.y};
}
In Point operator - (const Point& oth)const
{
return (Point){x - oth.x, y - oth.y};
}
In ll operator * (const Point& oth)const
{
return x * oth.y - y * oth.x;
}
}p[maxn];
int dp[maxn][maxn];
int main()
{
n = read();
for(int i = 1; i <= n; ++i) p[i].x = i, p[i].y = read();
int ans = 0;
for(int i = 1; i <= n; ++i)
{
dp[i][i] = 1; ans ^= 1;
int sum = 1, pos = 0;
for(int j = i - 1; j; --j)
{
if(!pos || (p[pos] - p[i]) * (p[j] - p[i]) < 0)
sum += min(dp[j + 1][pos - 1], dp[j + 1][pos]), pos = j;
dp[j][i] = sum + min(dp[j][pos - 1], dp[j][pos]);
ans ^= dp[j][i];
}
}
write(ans), enter;
return 0;
}