QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#847624#9254. Random VariablesningagoWA 130ms13600kbC++144.2kb2025-01-08 08:27:322025-01-08 08:27:34

Judging History

你现在查看的是最新测评结果

  • [2025-01-08 08:27:34]
  • 评测
  • 测评结果:WA
  • 用时:130ms
  • 内存:13600kb
  • [2025-01-08 08:27:32]
  • 提交

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 1010
int n, m;
int dp[N][N];
int lim[N], ans[N];
int C[N][N];

void solve()
{
	// memset(h, idx = -1, sizeof(h));
	n = read(), m = read();
	for(int c = 1; c <= n; c++)
	{
		// memset(dp, 0, sizeof(dp));
		dp[0][0] = 1;
		for(int i = 0; i <= n; i++) lim[i] = 0;
		for(int i = n; i >= 0; i--)
		{
			ckmax(lim[i - 1], lim[i]);
			if(i - c - 1 >= 0) ckmax(lim[i - c - 1], lim[i] + 1);
		}
		for(int j = 0; j <= lim[0]; j++) dp[0][j] = 1;
		for(int i = 1; i <= n; i++)
		{
			for(int j = 0; j <= lim[i] && j <= m; j++)
			{
				plus_(dp[i][j], 1ll * dp[i - 1][j] * (m - j) % mod);
				if(i - c - 1 >= 0) plus_(dp[i][j], mod - 1ll * dp[i - c - 1][j + 1] * (m - j) % mod * C[i - 1][c] % mod);
			}
		}
		ans[c] = dp[n][0];
		for(int i = 0; i <= n; i++) for(int j = 0; j <= lim[i]; j++) dp[i][j] = 0;
	}
	// for(int i = 1; i <= n; i++) print(ans[i], ' ');
	// putc('\n');
	for(int i = n; i >= 1; i--) plus_(ans[i], mod - ans[i - 1]);
	// for(int i = 1; i <= n; i++) print(ans[i], ' ');
	// putc('\n');
	int res = 0;
	for(int i = 1; i <= n; i++) plus_(res, 1ll * i * ans[i] % mod);
	print(res, '\n');
}

void init()
{
	for(int i = 0; i < N; 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]);
}

char _ED_;

void mian()
{
	debug("%.3f MB\n", abs(&_ST_ - &_ED_) / 1024.0 / 1024);
	init(); int T = read(); mod = read();
	for(; T; solve(), T--);
}

#ifdef int
	#undef int
#endif
}

int main()
{
	// freopen("tmp.in", "r", stdin);
	// freopen("tmp.out", "w", stdout);
	uvu::mian(); return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 10492kb

input:

3 123456789
3 2
5 5
7 7

output:

18
7145
2066323

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 2ms
memory: 10448kb

input:

100 2
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #3:

score: 0
Accepted
time: 2ms
memory: 10100kb

input:

100 3
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
0
1
2
0
1
2
0
1
2
0
0
2
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
1
2
0
1
2
0
1
2
0
1
2
2
0
2
2
0
2
2
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
2
2
0
2
2
0
2
2
0
2
0
0
0
0
0
0
0
0
0
0
1
2
0
1
2
0
1
2
0
1

result:

ok 100 lines

Test #4:

score: 0
Accepted
time: 2ms
memory: 10276kb

input:

100 4
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
0
1
2
3
0
1
2
2
2
0
0
2
2
0
0
2
2
3
2
3
0
3
2
3
0
3
2
0
0
0
0
0
0
0
0
0
0
1
2
3
0
1
2
3
0
1
2
2
0
2
0
2
0
2
0
2
0
3
0
3
0
3
0
3
0
3
0
0
0
0
0
0
0
0
0
0
0
1
2
3
0
1
2
3
0
1
2
2
0
2
0
2
0
2
0
2
0

result:

ok 100 lines

Test #5:

score: 0
Accepted
time: 2ms
memory: 11088kb

input:

100 5
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
0
1
2
3
4
0
2
1
2
0
0
2
1
2
0
0
3
3
1
3
0
3
3
1
3
0
4
4
2
4
0
4
4
2
4
0
0
0
0
0
0
0
0
0
0
0
1
2
3
4
0
1
2
3
4
0
2
3
3
2
0
2
3
3
2
0
3
4
1
2
0
3
4
1
2
0
4
4
4
4
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #6:

score: 0
Accepted
time: 2ms
memory: 11116kb

input:

100 6
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
0
1
2
3
4
2
0
0
2
0
0
2
0
0
2
3
0
3
0
3
0
3
0
3
0
4
2
0
4
2
0
4
2
0
4
5
2
3
2
5
0
5
2
3
2
0
0
0
0
0
0
0
0
0
0
1
0
3
4
3
0
1
0
3
4
2
2
0
2
2
0
2
2
0
2
3
0
3
0
3
0
3
0
3
0
4
2
0
4
2
0
4
2
0
4

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 0ms
memory: 10668kb

input:

100 7
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
0
1
2
3
2
6
5
6
2
0
0
2
6
5
3
4
2
3
6
3
0
3
4
2
4
2
3
5
2
5
0
4
2
3
5
5
3
6
5
4
0
5
5
3
6
0
6
1
1
6
0
6
0
6
0
0
0
0
0
0
0
0
0
0
1
2
3
4
5
6
0
1
2
3
2
1
4
4
1
2
0
2
1
4
3
3
4
3
4
4
0
3
3
4

result:

ok 100 lines

Test #8:

score: 0
Accepted
time: 0ms
memory: 10252kb

input:

100 8
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
7
0
1
2
2
6
4
4
6
2
0
0
2
6
3
2
3
4
3
6
3
0
3
2
4
4
0
0
4
4
0
0
4
4
5
6
3
4
1
2
7
0
5
6
6
4
6
0
6
4
6
0
6
4
7
4
3
0
7
4
3
0
7
4
0
0
0
0
0
0
0
0
0
0
1
6
3
4
5
2
7
0
1
6
2
4
6
0
2
4
6
0
2
4

result:

ok 100 lines

Test #9:

score: 0
Accepted
time: 0ms
memory: 11264kb

input:

100 9
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 2...

output:

1
2
3
4
5
6
7
8
0
1
2
6
3
2
3
6
2
0
0
2
3
0
6
0
6
3
6
3
0
3
4
8
3
4
5
6
4
2
0
4
5
2
0
2
8
0
8
5
0
5
6
0
0
6
0
0
6
0
0
6
7
3
6
1
3
3
4
3
0
7
8
8
6
5
8
3
2
8
0
8
0
0
0
0
0
0
0
0
0
0
1
8
3
4
2
6
7
5
0
1

result:

ok 100 lines

Test #10:

score: 0
Accepted
time: 0ms
memory: 9916kb

input:

100 10
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 ...

output:

1
2
3
4
5
6
7
8
9
0
2
6
2
0
0
2
6
2
0
0
3
8
1
8
5
8
3
6
3
0
4
4
2
4
0
4
4
2
4
0
5
0
5
0
5
0
5
0
5
0
6
2
8
4
0
6
2
8
4
0
7
8
3
2
5
2
3
8
7
0
8
4
6
2
0
8
4
6
2
0
9
4
9
4
5
4
9
4
9
0
0
0
0
0
0
0
0
0
0
0

result:

ok 100 lines

Test #11:

score: 0
Accepted
time: 0ms
memory: 11164kb

input:

100 11
1 1
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 1
2 2
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 1
3 2
3 3
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 1
4 2
4 3
4 4
4 5
4 6
4 7
4 8
4 9
4 10
5 1
5 2
5 3
5 4
5 5
5 6
5 7
5 8
5 9
5 10
6 1
6 2
6 3
6 4
6 5
6 6
6 7
6 8
6 9
6 10
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
8 1
8 ...

output:

1
2
3
4
5
6
7
8
9
10
2
6
1
9
8
9
1
6
2
0
3
7
7
9
8
10
10
3
6
3
4
0
5
5
10
10
8
9
9
6
5
0
4
10
6
7
10
4
2
7
6
10
4
5
3
2
0
7
2
5
7
5
2
8
6
1
6
0
3
6
8
6
6
3
2
4
8
3
6
9
9
8
10
2
8
6
10
9
3
1
10
0
4
3
0
6
0
7
4
9

result:

ok 100 lines

Test #12:

score: -100
Wrong Answer
time: 130ms
memory: 13600kb

input:

10 972033073
576 523187654
758 588616188
30 532959085
476 481773028
573 76725430
520 142462406
865 820120297
687 526533288
913 38106557
67 924529654

output:

117889354
535702668
708973357
673268906
663433594
199375574
910919510
394267764
711016035
222664868

result:

wrong answer 1st lines differ - expected: '259748390', found: '117889354'