QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#847630 | #9254. Random Variables | ningago | AC ✓ | 346ms | 15568kb | C++14 | 4.2kb | 2025-01-08 08:30:44 | 2025-01-08 08:30:48 |
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 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));
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]);
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()
{
}
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;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 13172kb
input:
3 123456789 3 2 5 5 7 7
output:
18 7145 2066323
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 39ms
memory: 12460kb
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: 36ms
memory: 12060kb
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: 40ms
memory: 13640kb
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: 36ms
memory: 13896kb
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: 35ms
memory: 12124kb
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: 41ms
memory: 13984kb
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: 35ms
memory: 12596kb
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: 35ms
memory: 12528kb
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: 36ms
memory: 13296kb
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: 37ms
memory: 12432kb
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: 0
Accepted
time: 138ms
memory: 14364kb
input:
10 972033073 576 523187654 758 588616188 30 532959085 476 481773028 573 76725430 520 142462406 865 820120297 687 526533288 913 38106557 67 924529654
output:
259748390 909910217 708973357 300073565 463921261 889897372 587262932 255642402 868975954 14589849
result:
ok 10 lines
Test #13:
score: 0
Accepted
time: 174ms
memory: 15228kb
input:
10 922366485 846 278501607 683 609355362 44 978777279 545 730718412 926 323835432 883 761846029 623 408215612 989 588832935 449 743830620 259 183431187
output:
461786112 672633342 164805246 547995105 9661617 154501063 370848893 402005970 886523490 435107511
result:
ok 10 lines
Test #14:
score: 0
Accepted
time: 162ms
memory: 15568kb
input:
10 13890975 949 837425969 667 981449995 991 564074312 501 604745038 593 640307170 128 408163542 80 976891742 930 710947599 852 333118419 250 333252788
output:
3898759 9290500 7087084 4913904 196250 1746549 9627740 8673120 10274253 10549775
result:
ok 10 lines
Test #15:
score: 0
Accepted
time: 88ms
memory: 14660kb
input:
10 105576445 649 937885257 141 713063090 253 716966251 845 330657011 347 664392407 810 50478969 389 530582574 228 199722046 85 256258366 605 3721959
output:
22721419 27962190 85541228 53950260 35288938 100176945 86409840 102331663 55591445 14790745
result:
ok 10 lines
Test #16:
score: 0
Accepted
time: 113ms
memory: 15040kb
input:
10 445185474 268 687201814 929 296077349 690 202741564 372 661889855 442 989604795 367 456833096 702 862601129 795 37538865 556 131444040 108 645857776
output:
39577672 390323147 423333756 49417686 12978114 278291170 60346062 410583855 68429394 296833176
result:
ok 10 lines
Test #17:
score: 0
Accepted
time: 163ms
memory: 14096kb
input:
10 265384486 870 503808438 959 733458117 126 226376632 979 205878607 747 270352323 339 384431347 373 659485098 597 832514575 832 906898547 12 869891031
output:
54820154 83262107 48675762 32938269 169458409 153632065 105152812 48645927 29870948 83831862
result:
ok 10 lines
Test #18:
score: 0
Accepted
time: 118ms
memory: 14036kb
input:
10 869896294 256 326197921 496 115501273 861 238744067 581 600444623 619 536213251 89 898877607 136 353575223 860 349472278 491 770026371 668 622723560
output:
678111040 344947200 90686837 157367547 295943299 25262829 81930384 532341712 23048077 475131428
result:
ok 10 lines
Test #19:
score: 0
Accepted
time: 195ms
memory: 14952kb
input:
10 692092859 831 647975618 792 737778459 392 768554014 854 612888229 31 148093584 793 559010229 970 237393805 339 914914862 831 979073722 988 738224088
output:
324659472 16793498 421391172 416475848 59704753 347151224 415078841 680610884 397373492 296521551
result:
ok 10 lines
Test #20:
score: 0
Accepted
time: 90ms
memory: 14320kb
input:
10 827165684 577 720722656 383 778750361 951 59165685 502 993162103 589 166261195 500 816688874 40 625075150 331 160531509 394 578798823 181 710984062
output:
736529364 199088527 528654835 586634074 442300715 383600380 707706396 763397655 534310310 338272096
result:
ok 10 lines
Test #21:
score: 0
Accepted
time: 91ms
memory: 15252kb
input:
10 691312083 185 445519030 93 44970277 951 662144708 252 766000017 83 911805458 424 816227326 770 136026896 354 763387805 247 458147285 747 14566368
output:
411209183 132362175 110569626 664410537 241484162 480388660 264805387 294178848 147876955 371900799
result:
ok 10 lines
Test #22:
score: 0
Accepted
time: 346ms
memory: 14192kb
input:
10 691312083 1000 445519030 1000 44970277 1000 662144708 1000 766000017 1000 911805458 1000 816227326 1000 136026896 1000 763387805 1000 458147285 747 14566368
output:
365043118 14826361 571573673 63977538 484010015 499398766 433242788 43269113 412491407 371900799
result:
ok 10 lines
Extra Test:
score: 0
Extra Test Passed