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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#713301 | #9561. 树数叔术 | hos_lyric# | 100 ✓ | 72ms | 20040kb | C++14 | 5.1kb | 2024-11-05 18:55:25 | 2024-11-05 18:55:25 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
// Barrett
struct ModInt {
static unsigned M;
static unsigned long long NEG_INV_M;
static void setM(unsigned m) { M = m; NEG_INV_M = -1ULL / M; }
unsigned x;
ModInt() : x(0U) {}
ModInt(unsigned x_) : x(x_ % M) {}
ModInt(unsigned long long x_) : x(x_ % M) {}
ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) {
const unsigned long long y = static_cast<unsigned long long>(x) * a.x;
const unsigned long long q = static_cast<unsigned long long>((static_cast<unsigned __int128>(NEG_INV_M) * y) >> 64);
const unsigned long long r = y - M * q;
x = r - M * (r >= M);
return *this;
}
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
unsigned ModInt::M;
unsigned long long ModInt::NEG_INV_M;
// !!!Use ModInt::setM!!!
////////////////////////////////////////////////////////////////////////////////
using Mint = ModInt;
int N, V, MO;
Mint bn[160][160];
// (< x) filled, tree size, # unfilled
Mint dp[160][160][160];
int main() {
for (; ~scanf("%d%d%d", &N, &V, &MO); ) {
Mint::setM(MO);
++V;
for (int n = 0; n <= N; ++n) {
bn[n][0] = bn[n][n] = 1;
for (int k = 1; k < n; ++k) bn[n][k] = bn[n - 1][k - 1] + bn[n - 1][k];
}
Mint ans = 0;
if (V <= N) {
memset(dp, 0, sizeof(dp));
dp[1][1][0] = 1;
for (int x = 1; x < V; ++x) {
for (int n = 1; n <= N; ++n) for (int m = 0; m < n; ++m) if (dp[x][n][m]) {
// x: inside
for (int dm = 1; dm <= m; ++dm) {
dp[x + 1][n][m - dm] += dp[x][n][m] * bn[m][dm];
}
// x: outside
for (int dn = 1; n + dn <= N; ++dn) {
dp[x + 1][n + dn][m + (dn - 1)] += dp[x][n][m] * n;
}
}
}
ans = dp[V][N][0];
cerr<<"N = "<<N<<", V = "<<V<<": ans = "<<ans<<endl;
for (int n = 1; n <= N; ++n) ans *= n;
}
printf("%u\n", ans.x);
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 19884kb
input:
1 1 624295285
output:
0
result:
ok single line: '0'
Test #2:
score: 5
Accepted
time: 0ms
memory: 20040kb
input:
4 684813415 564954712
output:
0
result:
ok single line: '0'
Test #3:
score: 5
Accepted
time: 5ms
memory: 19828kb
input:
4 2 844826878
output:
24
result:
ok single line: '24'
Test #4:
score: 5
Accepted
time: 2ms
memory: 19964kb
input:
4 17724073 252218682
output:
0
result:
ok single line: '0'
Test #5:
score: 5
Accepted
time: 5ms
memory: 20040kb
input:
4 3 697681963
output:
384
result:
ok single line: '384'
Subtask #2:
score: 15
Accepted
Test #6:
score: 15
Accepted
time: 0ms
memory: 19956kb
input:
6 4 956647977
output:
238320
result:
ok single line: '238320'
Test #7:
score: 15
Accepted
time: 0ms
memory: 19984kb
input:
6 450615260 491361886
output:
0
result:
ok single line: '0'
Test #8:
score: 15
Accepted
time: 0ms
memory: 19888kb
input:
6 5 339344353
output:
933120
result:
ok single line: '933120'
Test #9:
score: 15
Accepted
time: 2ms
memory: 19828kb
input:
6 3 842228619
output:
23760
result:
ok single line: '23760'
Test #10:
score: 15
Accepted
time: 0ms
memory: 19892kb
input:
6 5 331699652
output:
933120
result:
ok single line: '933120'
Subtask #3:
score: 30
Accepted
Test #11:
score: 30
Accepted
time: 0ms
memory: 19984kb
input:
48 26 424594716
output:
362283012
result:
ok single line: '362283012'
Test #12:
score: 30
Accepted
time: 0ms
memory: 19852kb
input:
49 1000000000 738885247
output:
0
result:
ok single line: '0'
Test #13:
score: 30
Accepted
time: 3ms
memory: 19868kb
input:
48 39 688951620
output:
598399200
result:
ok single line: '598399200'
Test #14:
score: 30
Accepted
time: 0ms
memory: 20000kb
input:
50 476039414 292870080
output:
0
result:
ok single line: '0'
Test #15:
score: 30
Accepted
time: 0ms
memory: 19972kb
input:
50 48 245196368
output:
123576912
result:
ok single line: '123576912'
Subtask #4:
score: 50
Accepted
Test #16:
score: 50
Accepted
time: 4ms
memory: 19856kb
input:
150 526250070 197316869
output:
0
result:
ok single line: '0'
Test #17:
score: 50
Accepted
time: 70ms
memory: 19968kb
input:
149 116 671784452
output:
18945228
result:
ok single line: '18945228'
Test #18:
score: 50
Accepted
time: 65ms
memory: 19956kb
input:
146 144 906402626
output:
438777234
result:
ok single line: '438777234'
Test #19:
score: 50
Accepted
time: 66ms
memory: 20040kb
input:
147 143 705666477
output:
70408701
result:
ok single line: '70408701'
Test #20:
score: 50
Accepted
time: 72ms
memory: 19976kb
input:
150 147 453481175
output:
336290325
result:
ok single line: '336290325'