Contest Setting 2018 ICPC Pacific Northwest Regional Contest dp

时间:2023-03-09 15:59:33
Contest Setting   2018 ICPC Pacific Northwest Regional Contest  dp

题目:https://codeforces.com/gym/101982/attachments

Contest Setting

dp

这个题目网上说是dp+离散化
这个题目要对这些数字先处理然后进行dp,
这个处理值得学习一下,就是把数字范围为1~1e9,转化成一个顺序列表,这个顺序列表每一个不同的位置含有不同的难度,
dp[i][j]代表前面i种选出j种的方案数。

#include <cstdio>
#include <iostream>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <queue>
#define inf 0x3f3f3f3f
using namespace std;
typedef long long ll;
const int mod = 998244353;
const int maxn = 1010;
int a[maxn], b[maxn], c[maxn];
ll dp[maxn][maxn]; int main()
{
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++)
{
scanf("%d", &a[i]);
b[i] = a[i];
}
memset(dp, 0, sizeof(dp));
memset(c, 0, sizeof(c));
sort(a + 1, a + 1 + n);
int m = unique(a + 1, a + 1 + n) - (a + 1);
for(int i=1;i<=n;i++)
{
b[i] = lower_bound(a + 1, a + 1 + m, b[i]) - a;
c[b[i]]++;
}
for (int i = 0; i <= m; i++) dp[i][0] = 1; for(int i=1;i<=m;i++)
{
for(int j=1;j<=k;j++)
{
dp[i][j] = ((dp[i - 1][j - 1] * c[i]) % mod + dp[i - 1][j]) % mod;
}
}
printf("%lld\n", dp[m][k]);
return 0;
}