QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#431472 | #1285. Stirling Number | Rong7 | AC ✓ | 64ms | 43144kb | C++14 | 3.5kb | 2024-06-05 17:02:03 | 2024-06-05 17:02:03 |
Judging History
answer
// Not afraid to dark.
#include <bits/stdc++.h>
using namespace std;
clock_t start_time, end_time;
#define GET_START start_time = clock ();
#define GET_END end_time = clock (); fprintf (stderr, "TIME COSSEMED : %0.3lf\n", 1.0 * (end_time - start_time) / CLOCKS_PER_SEC);
#define inline __inline__ __attribute__ ((always_inline))
#define int long long
namespace io {
int read_pos, read_dt; char read_char;
inline int read (int &p = read_pos){
p = 0, read_dt = 1; read_char = getchar ();
while (! isdigit (read_char)){
if (read_char == '-')
read_dt = - 1;
read_char = getchar ();
}
while (isdigit (read_char)){
p = (p << 1) + (p << 3) + read_char - 48;
read_char = getchar ();
}
return p = p * read_dt;
}
int write_sta[65], write_top;
inline void write (int x){
if (x < 0)
putchar ('-'), x = - x;
write_top = 0;
do
write_sta[write_top ++] = x % 10, x /= 10;
while (x);
while (write_top)
putchar (write_sta[-- write_top] + 48);
}
}
const int P = 1e6;
int p, g, gp[P + 5];
int f[P + 5]; // f[i]=f(g^i)
int jc[P + 5], inv[P + 5], inj[P + 5];
#define vic(x) (((x) & 1) ? (p - 1) : 1)
inline int power (int a, int t){
int res = 1;
while (t > 0){
if (t & 1)
res = res * a % p;
a = a * a % p;
t >>= 1;
}
return res;
}
inline void Init (int n){
vector < int > fac;
jc[0] = jc[1] = inv[1] = inj[0] = inj[1] = 1;
for (int i = 2, rs = p - 1;i < p;++ i){
inv[i] = inv[i - p % i] * (p / i + 1) % p;
jc[i] = jc[i - 1] * i % p;
inj[i] = inj[i - 1] * inv[i] % p;
if (rs % i == 0){
while (rs % i == 0)
rs /= i;
fac.push_back (i);
}
if (i == p - 1 && rs > 1)
fac.push_back (rs);
}
for (int i = 2;i < p;++ i){
for (int x : fac)
if (power (i, (p - 1) / x) == 1)
goto out_case;
g = i;
break;
out_case : ;
}
gp[0] = 1;
for (int i = 1;i < p;++ i)
gp[i] = gp[i - 1] * g % p;
for (int i = 0;i < p;++ i)
f[i] = ((gp[i] + n - 1 < p) ? (jc[gp[i] + n - 1] * inj[gp[i] - 1] % p) : 0);
}
inline int Sum (int n, int m){
if (n == 0)
return 1;
m = min (n, m);
int res = (m + 1) * f[0] % p;
for (int i = 1;i < p - 1;++ i)
res = (res + f[i] * (gp[p - 1 - i * (m + 1) % (p - 1)] - 1) % p * inv[gp[p - 1 - i] - 1] % p) % p;
return (p - res) % p;
}
int C (int a, int b){
if (a < 0 || b < 0)
return 0;
if (a < b)
return 0;
if (a >= p)
return C (a / p, b / p) * C (a % p, b % p) % p;
return jc[a] * inj[a - b] % p * inj[b] % p;
}
inline int Calc (int n, int m){
if (m < 1)
return 0;
if (n == m){
if (n >= p)
return 0;
return jc[n];
}
int q = n / p, r = n % p;
if (m < q)
return 0;
m -= q;
int k = m / (p - 1), t = m % (p - 1);
return vic (q - k) * (C (q, k) * Sum (r, t) % p - C (q - 1, k - 1) * jc[r] % p + p) % p;
}
inline void ARKNIGHTS (){
int n = io::read (), l = io::read (), r = io::read (); io::read (p);
Init (n % p);
io::write ((Calc (n, r) - Calc (n, l - 1) + p) % p), puts ("");
}
signed main (){
GET_START
ARKNIGHTS ();
GET_END
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 12076kb
input:
4 1 4 5
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 12076kb
input:
6 5 5 29
output:
15
result:
ok "15"
Test #3:
score: 0
Accepted
time: 57ms
memory: 42784kb
input:
1000 685 975 999983
output:
482808
result:
ok "482808"
Test #4:
score: 0
Accepted
time: 2ms
memory: 11984kb
input:
8 7 8 7
output:
1
result:
ok "1"
Test #5:
score: 0
Accepted
time: 2ms
memory: 12156kb
input:
6 4 6 3
output:
2
result:
ok "2"
Test #6:
score: 0
Accepted
time: 0ms
memory: 11924kb
input:
31494923 16387579 27674098 2
output:
0
result:
ok "0"
Test #7:
score: 0
Accepted
time: 25ms
memory: 27440kb
input:
1000000000 179971578 813833436 383101
output:
53093
result:
ok "53093"
Test #8:
score: 0
Accepted
time: 14ms
memory: 24764kb
input:
1000000000 243662537 919841454 336437
output:
75332
result:
ok "75332"
Test #9:
score: 0
Accepted
time: 62ms
memory: 43060kb
input:
1000000000 802415407 880806868 999983
output:
960771
result:
ok "960771"
Test #10:
score: 0
Accepted
time: 62ms
memory: 42936kb
input:
1000000000 644768002 859679621 999983
output:
805072
result:
ok "805072"
Test #11:
score: 0
Accepted
time: 59ms
memory: 42792kb
input:
1000000000 413491669 805704689 999983
output:
138470
result:
ok "138470"
Test #12:
score: 0
Accepted
time: 49ms
memory: 42936kb
input:
48537068788 22847195743 28163317559 999983
output:
529264
result:
ok "529264"
Test #13:
score: 0
Accepted
time: 64ms
memory: 43060kb
input:
828536325370 779765412000 782633091631 999983
output:
836701
result:
ok "836701"
Test #14:
score: 0
Accepted
time: 61ms
memory: 42940kb
input:
258077969836231211 200983000620029238 226661348290193221 999983
output:
104488
result:
ok "104488"
Test #15:
score: 0
Accepted
time: 55ms
memory: 42988kb
input:
258904208719347339 185679775210965354 223112834501603079 999983
output:
0
result:
ok "0"
Test #16:
score: 0
Accepted
time: 61ms
memory: 43056kb
input:
259730451897430763 53367210716367086 159749126385022258 999983
output:
0
result:
ok "0"
Test #17:
score: 0
Accepted
time: 55ms
memory: 42812kb
input:
260556695075514187 28149045695465635 29562653808086859 999983
output:
669091
result:
ok "669091"
Test #18:
score: 0
Accepted
time: 48ms
memory: 42220kb
input:
1000000000000000000 199156813867768126 571262092911942493 919337
output:
732102
result:
ok "732102"
Test #19:
score: 0
Accepted
time: 60ms
memory: 42772kb
input:
353534534534 1999983 2234324324 999983
output:
613376
result:
ok "613376"
Test #20:
score: 0
Accepted
time: 47ms
memory: 43144kb
input:
353534534534 0 2234324324 999983
output:
520965
result:
ok "520965"
Test #21:
score: 0
Accepted
time: 48ms
memory: 43072kb
input:
353534534534 22342343 353534534534 999983
output:
281927
result:
ok "281927"