(Large extbf{Description: } large{有n个数字从左到右排列,每次你可以去掉若干个数字,如果去掉后,求有多少种方案使剩下的数字构成一个等差数列。(n leq 1000)})
(Large extbf{Solution: } large{考虑dp。 ext{f[i][j]}表示到第i个数字,公差为j的数量,那么容易想到n^2转移。不过公差可能有负数,把数组整体右移或者map即可。})
(Large extbf{Code: })
#include <bits/stdc++.h>
#define LL long long
using namespace std;
const int s = 20000;
const int N = 1e3 + 5;
const int M = 2e4 + 10;
const int p = 998244353;
int n, h[N], f[N][M << 1];
inline int read() {
int ans = 0, flag = 1;
char ch = getchar();
while (ch > '9' || ch < '0') {
if (ch == '-') flag = -1;
ch = getchar();
}
while (ch >= '0' && ch <= '9') ans = (ans << 1) + (ans << 3) + ch - '0', ch = getchar();
return ans * flag;
}
int main() {
n = read();
for (int i = 1; i <= n; ++i) h[i] = read();
LL ans = 0;
for (int i = 1; i <= n; ++i)
for (int j = 1; j <= i - 1; ++j)
f[i][h[i] - h[j] + s] = (f[i][h[i] - h[j] + s] + f[j][h[i] - h[j] + s] + 1) % p, ans = (ans + f[j][h[i] - h[j] + s] + 1) % p;
ans = (ans + n) % p;
printf("%d
", ans);
return 0;
}