#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define mp make_pair
#define pb push_back
#define pf push_front
#define eb emplace_back
#define st first
#define nd second
#define vt vector
#define DEBUG if(1)
#define VAR(__var) #__var << ": " << __var << " "
#define PARA(__var) #__var << ": " << __var.first << ", " << __var.second << " "
#define FOR(__var, __start, __end) for(int __var=__start; __var<__end; ++__var)
#define FORB(__var, __start, __end) for(int __var=__start; __var>__end; --__var)
#define all(__var) (__var).begin(),(__var).end()
#define rall(__var) (__var).rbegin(),(__var).rend()
#define sz(__var) (int)(__var).size()
#define satori(__var) int __var; cin>>__var; while(__var--)
using namespace std;
using namespace __gnu_pbds;
template <typename T>
using ord_set = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const int INF = 1e9+2137;
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
ll n, m, p;
cin >> n >> m >> p;
ll dp[m+1][m+1][n+1]={};
FOR(i, 0, m+1)
FOR(j, 0, m+1)
dp[i][j][1] = 1;
FOR(k, 2, n+1)
{
FOR(i, 1, m+1)
FOR(j, i, m+1)
{
FOR(kon, i, j+1)
{
FOR(pocz, 1, kon+1)
dp[i][j][k] = (dp[i][j][k]+dp[pocz][kon][k-1])%p;
}
FOR(pocz, i, j+1)
{
FOR(kon, j+1, m+1)
dp[i][j][k] = (dp[i][j][k]+dp[pocz][kon][k-1])%p;
}
}
}
ll res = 0;
FOR(i, 1, m+1)
FOR(j, i, m+1)
res = (res+dp[i][j][n])%p;
cout << res << '\n';
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 | #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define mp make_pair #define pb push_back #define pf push_front #define eb emplace_back #define st first #define nd second #define vt vector #define DEBUG if(1) #define VAR(__var) #__var << ": " << __var << " " #define PARA(__var) #__var << ": " << __var.first << ", " << __var.second << " " #define FOR(__var, __start, __end) for(int __var=__start; __var<__end; ++__var) #define FORB(__var, __start, __end) for(int __var=__start; __var>__end; --__var) #define all(__var) (__var).begin(),(__var).end() #define rall(__var) (__var).rbegin(),(__var).rend() #define sz(__var) (int)(__var).size() #define satori(__var) int __var; cin>>__var; while(__var--) using namespace std; using namespace __gnu_pbds; template <typename T> using ord_set = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair<int,int> pii; typedef pair<ll,ll> pll; const int INF = 1e9+2137; int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); ll n, m, p; cin >> n >> m >> p; ll dp[m+1][m+1][n+1]={}; FOR(i, 0, m+1) FOR(j, 0, m+1) dp[i][j][1] = 1; FOR(k, 2, n+1) { FOR(i, 1, m+1) FOR(j, i, m+1) { FOR(kon, i, j+1) { FOR(pocz, 1, kon+1) dp[i][j][k] = (dp[i][j][k]+dp[pocz][kon][k-1])%p; } FOR(pocz, i, j+1) { FOR(kon, j+1, m+1) dp[i][j][k] = (dp[i][j][k]+dp[pocz][kon][k-1])%p; } } } ll res = 0; FOR(i, 1, m+1) FOR(j, i, m+1) res = (res+dp[i][j][n])%p; cout << res << '\n'; return 0; } |
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