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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#834124 | #9561. 树数叔术 | ningago | 100 ✓ | 78ms | 37736kb | C++14 | 5.1kb | 2024-12-27 11:32:47 | 2024-12-27 11:32:47 |
Judging History
answer
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <numeric>
#include <vector>
#include <queue>
#include <map>
#include <cmath>
#include <cctype>
#include <set>
namespace uvu
{
#define LOCAL ____________DONT_DEFINE_ME____________
#define ll long long
#define inf 0x3f3f3f3f
// #define int long long
// #define inf 0x3f3f3f3f3f3f3f3fll
#define infll 0x3f3f3f3f3f3f3f3fll
#define debug(...) fprintf(stderr, __VA_ARGS__)
#define gline debug("now is #%d\n", __LINE__)
#define pii std::pair <int, int>
#define mkp std::make_pair
#define fi first
#define se second
char _ST_;
const int BUFSIZE = (1 << 20);
char ibuf[BUFSIZE], *iS = ibuf, *iT = ibuf;
char obuf[BUFSIZE], *oS = obuf, *oT = obuf + BUFSIZE;
char getc()
{
#ifdef LOCAL
return getchar();
#else
if(iS == iT) iT = (iS = ibuf) + fread(ibuf, 1, BUFSIZE, stdin);
return iS == iT ? EOF : *iS++;
#endif
#define getchar ERR
}
void Flush() { fwrite(obuf, 1, oS - obuf, stdout); oS = obuf; }
struct Flusher { ~Flusher(){ Flush(); } }iamflusher;
void putc(char c)
{
#ifdef LOCAL
putchar(c);
#else
*oS++ = c;
if(oS == oT) Flush();
#endif
#define putchar ERR
}
template <typename T = int> T read()
{
T x = 0, f = 1; char c = getc();
for(; !isdigit(c); c = getc()) if(c == '-') f = -1;
for(; isdigit(c); c = getc()) x = (x << 3) + (x << 1) + (c ^ 48);
return x * f;
}
template <typename T> void print(T x, char c)
{
static int sta[BUFSIZE], top;
top = 0;
if(x < 0) putc('-'), x = -x;
if(!x) sta[top = 1] = 0;
for(; x; x /= 10) sta[++top] = x % 10;
for(; top; ) putc(sta[top--] ^ 48);
if(c) putc(c);
}
int readstr(char *s, int base)
{
int idx = base - 1; char c = getc();
for(; !(isdigit(c) || isalpha(c) || c == '#' || c == '.'); c = getc());
for(; isdigit(c) || isalpha(c) || c == '#' || c == '.' ; c = getc()) s[++idx] = c;
return idx - base + 1;
}
void printf(const char *s) { for(; *s; s++) putc(*s); }
template <typename T, typename ... Args>
void printf(const char *s, T x, Args ... rest)
{
for(; *s; s++)
{
if(*s != '%') { putc(*s); continue; }
s++; if(*s == 'd') print(x, 0);
else if(*s == 'c') putc(x);
printf(s + 1, rest ...);
return;
}
}
template <typename T> void ckmax(T &x, T y) { x = x > y ? x : y; }
template <typename T> void ckmin(T &x, T y) { x = x < y ? x : y; }
// #define mod 998244353
// #define mod 1000000007
int mod;
int sm(int x) { return x >= mod ? x - mod : x; }
void plus_(int &x, int y) { x = sm(x + y); }
void mul_(int &x, int y) { x = 1ll * x * y % mod; }
int ksm(int a, int b) { int res = 1; for(; b; b >>= 1, mul_(a, a)) if(b & 1) mul_(res, a); return res; }
#define N 160
int n, m, ans;
int a[N], cnt[N];
int dp[N][N][N];
// i mex j
// mex' j'
void calc()
{
if(a[1] != 0) return;
for(int i = 0; i <= m; i++) cnt[i] = 0;
int mex = 0, res = 1;
for(int i = 1; i <= n; i++)
{
if(a[i] < mex) return;
cnt[a[i]]++;
int las = i == 1 ? -1 : mex;
while(cnt[mex]) mex++;
if(mex != las) mul_(res, i);
}
if(mex != m + 1) return;
// printf("a : "); for(int i = 1; i <= n; i++) print(a[i], ' '); printf("res = %d\n", res);
plus_(ans, res);
}
void dfs(int s)
{
if(s > n) { calc(); return; }
for(int i = 0; i <= m; i++) a[s] = i, dfs(s + 1);
}
int f[N][N], C[N][N], tmp[N][N][N], invf[N], fac[N];
void solve()
{
// memset(h, idx = -1, sizeof(h));
n = read(), m = read(), mod = read();
for(int i = fac[0] = 1; i <= n; i++) fac[i] = 1ll * fac[i - 1] * i % mod;
invf[n] = ksm(fac[n], mod - 2); for(int i = n - 1; ~i; i--) invf[i] = 1ll * invf[i + 1] * (i + 1) % mod;
for(int i = 0; i <= N - 10; i++) for(int j = C[i][0] = C[i][i] = 1; j < i; j++) C[i][j] = sm(C[i - 1][j - 1] + C[i - 1][j]);
if(m >= n) { print(0, '\n'); return; }
// dfs(1);
// printf("ans = %d\n", ans);
ans = 0;
f[0][0] = 1;
for(int i = 1; i <= m; i++) for(int j = 1; j <= n; j++)
for(int k = 1; k <= j; k++) plus_(f[i][j], 1ll * f[i - 1][j - k] * C[j][k] % mod);
dp[1][1][0] = 1;
for(int i = 1; i < n; i++)
{
for(int j = i; j >= 0; j--)
{
for(int mex = 1; mex <= m; mex++) //if(dp[i][mex][j])
{
plus_(dp[i + 1][mex][j + 1], dp[i][mex][j]);
plus_(tmp[i][mex + 1][j], 1ll * dp[i][mex][j] * (i + 1) % mod);
if(!tmp[i][mex][j]) continue;
// printf("tmp[%d][%d][%d] = %d\n", i, mex, j, tmp[i][mex][j]);
for(int k = 1; k <= j; k++)
plus_(tmp[i][mex + 1][j - k], 1ll * tmp[i][mex][j] * C[j][k] % mod);
// for(int nmex = mex + 1; nmex <= m + 1; nmex++) for(int k = 0; k <= j; k++)
// plus_(dp[i + 1][nmex][j - k], 1ll * dp[i][mex][j] * (i + 1) % mod * f[nmex - mex - 1][k] % mod * C[j][k] % mod);
}
for(int mex = 1; mex <= m + 1; mex++) plus_(dp[i + 1][mex][j], tmp[i][mex][j]);
}
}
ans = dp[n][m + 1][0];
// printf("ans = %d\n", ans);
for(int i = 1; i < n; i++) mul_(ans, i);
print(ans, '\n');
}
void init()
{
}
char _ED_;
void mian()
{
debug("%.3f MB\n", abs(&_ST_ - &_ED_) / 1024.0 / 1024);
init();
for(int T = 1; T; solve(), T--);
}
#ifdef int
#undef int
#endif
}
int main()
{
// freopen("tmp.in", "r", stdin);
// freopen("tmp.out", "w", stdout);
uvu::mian(); return 0;
}
詳細信息
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 10008kb
input:
1 1 624295285
output:
0
result:
ok single line: '0'
Test #2:
score: 5
Accepted
time: 1ms
memory: 10068kb
input:
4 684813415 564954712
output:
0
result:
ok single line: '0'
Test #3:
score: 5
Accepted
time: 0ms
memory: 9972kb
input:
4 2 844826878
output:
24
result:
ok single line: '24'
Test #4:
score: 5
Accepted
time: 1ms
memory: 9964kb
input:
4 17724073 252218682
output:
0
result:
ok single line: '0'
Test #5:
score: 5
Accepted
time: 2ms
memory: 10044kb
input:
4 3 697681963
output:
384
result:
ok single line: '384'
Subtask #2:
score: 15
Accepted
Test #6:
score: 15
Accepted
time: 2ms
memory: 12124kb
input:
6 4 956647977
output:
238320
result:
ok single line: '238320'
Test #7:
score: 15
Accepted
time: 1ms
memory: 9880kb
input:
6 450615260 491361886
output:
0
result:
ok single line: '0'
Test #8:
score: 15
Accepted
time: 0ms
memory: 10128kb
input:
6 5 339344353
output:
933120
result:
ok single line: '933120'
Test #9:
score: 15
Accepted
time: 1ms
memory: 9976kb
input:
6 3 842228619
output:
23760
result:
ok single line: '23760'
Test #10:
score: 15
Accepted
time: 2ms
memory: 10012kb
input:
6 5 331699652
output:
933120
result:
ok single line: '933120'
Subtask #3:
score: 30
Accepted
Test #11:
score: 30
Accepted
time: 0ms
memory: 11836kb
input:
48 26 424594716
output:
362283012
result:
ok single line: '362283012'
Test #12:
score: 30
Accepted
time: 0ms
memory: 10012kb
input:
49 1000000000 738885247
output:
0
result:
ok single line: '0'
Test #13:
score: 30
Accepted
time: 4ms
memory: 12668kb
input:
48 39 688951620
output:
598399200
result:
ok single line: '598399200'
Test #14:
score: 30
Accepted
time: 1ms
memory: 9936kb
input:
50 476039414 292870080
output:
0
result:
ok single line: '0'
Test #15:
score: 30
Accepted
time: 0ms
memory: 13288kb
input:
50 48 245196368
output:
123576912
result:
ok single line: '123576912'
Subtask #4:
score: 50
Accepted
Test #16:
score: 50
Accepted
time: 0ms
memory: 9964kb
input:
150 526250070 197316869
output:
0
result:
ok single line: '0'
Test #17:
score: 50
Accepted
time: 68ms
memory: 31616kb
input:
149 116 671784452
output:
18945228
result:
ok single line: '18945228'
Test #18:
score: 50
Accepted
time: 59ms
memory: 37176kb
input:
146 144 906402626
output:
438777234
result:
ok single line: '438777234'
Test #19:
score: 50
Accepted
time: 63ms
memory: 36088kb
input:
147 143 705666477
output:
70408701
result:
ok single line: '70408701'
Test #20:
score: 50
Accepted
time: 78ms
memory: 37736kb
input:
150 147 453481175
output:
336290325
result:
ok single line: '336290325'