///memento MODULO
///MEMENTO MEMO, MEMENTO LONG LONG
#include <bits/stdc++.h>
#define DEBUG if(0)
#define COUT cout << "\e[36m"
#define ENDL "\e[39m" << endl
#define VAR(v) " [\e[32m" << #v << "\e[36m=\e[91m" << v << "\e[36m] "
using namespace std;
typedef long long LL;
int n, m, p;
vector<vector<vector<LL>>> suff;
LL getSuff(int i, int x, int y)
{
return ((x>= 0 && y>= 0 && x < m && y < m)? suff[i%2][x][y] : 0ll);
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m >> p;
//fence.resize(n, vector<short int>(m));
vector<vector<vector<LL>>> dp(2, vector<vector<LL>>(m, vector<LL>(m)));
suff.resize(2, vector<vector<LL>>(m, vector<LL>(m)));
for (int i = 0; i < m; ++i)
{
for (int j = i; j < m; ++j)
{
dp[0][i][j] = 1;
}
}
for (int i = 1; i < n; ++i)
{
for (int x = 0; x < m; ++x)
{
for (int y = m-1; y >= 0; --y)
{
suff[i%2][x][y] = dp[(i+1)%2][x][y]+getSuff(i, x-1, y)
+getSuff(i, x, y+1)- getSuff(i, x-1, y+1) + p;
suff[i%2][x][y] %= p;
}
}
for (int x = 0; x < m; ++x)
{
for (int y = x; y < m; ++y)
{
dp[i%2][x][y] = suff[i%2][y][x];
}
}
DEBUG for (int x = 0; x < m; ++x)
{
for (int y = 0; y < m; ++y)
{
COUT << suff[i%2][x][y] << " ";
}
COUT << ENDL;
}
DEBUG COUT << "DP:" << ENDL;
DEBUG for (int x = 0; x < m; ++x)
{
for (int y = 0; y < m; ++y)
{
COUT << dp[i%2][x][y] << " ";
}
COUT << ENDL;
}
DEBUG COUT << ENDL << ENDL;
}
LL ans = 0;
for (int i = 0; i < m; ++i)
{
for (int j = i; j < m; ++j)
{
ans += dp[(n+1)%2][i][j];
ans %= p;
}
}
cout << ans << "\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 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 | ///memento MODULO ///MEMENTO MEMO, MEMENTO LONG LONG #include <bits/stdc++.h> #define DEBUG if(0) #define COUT cout << "\e[36m" #define ENDL "\e[39m" << endl #define VAR(v) " [\e[32m" << #v << "\e[36m=\e[91m" << v << "\e[36m] " using namespace std; typedef long long LL; int n, m, p; vector<vector<vector<LL>>> suff; LL getSuff(int i, int x, int y) { return ((x>= 0 && y>= 0 && x < m && y < m)? suff[i%2][x][y] : 0ll); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> p; //fence.resize(n, vector<short int>(m)); vector<vector<vector<LL>>> dp(2, vector<vector<LL>>(m, vector<LL>(m))); suff.resize(2, vector<vector<LL>>(m, vector<LL>(m))); for (int i = 0; i < m; ++i) { for (int j = i; j < m; ++j) { dp[0][i][j] = 1; } } for (int i = 1; i < n; ++i) { for (int x = 0; x < m; ++x) { for (int y = m-1; y >= 0; --y) { suff[i%2][x][y] = dp[(i+1)%2][x][y]+getSuff(i, x-1, y) +getSuff(i, x, y+1)- getSuff(i, x-1, y+1) + p; suff[i%2][x][y] %= p; } } for (int x = 0; x < m; ++x) { for (int y = x; y < m; ++y) { dp[i%2][x][y] = suff[i%2][y][x]; } } DEBUG for (int x = 0; x < m; ++x) { for (int y = 0; y < m; ++y) { COUT << suff[i%2][x][y] << " "; } COUT << ENDL; } DEBUG COUT << "DP:" << ENDL; DEBUG for (int x = 0; x < m; ++x) { for (int y = 0; y < m; ++y) { COUT << dp[i%2][x][y] << " "; } COUT << ENDL; } DEBUG COUT << ENDL << ENDL; } LL ans = 0; for (int i = 0; i < m; ++i) { for (int j = i; j < m; ++j) { ans += dp[(n+1)%2][i][j]; ans %= p; } } cout << ans << "\n"; return 0; } |
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