QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #406251 | #8018. 染色 | flying | 0 | 106ms | 173824kb | C++14 | 1.8kb | 2024-05-06 23:50:40 | 2024-05-06 23:50:42 |
Judging History
answer
#include <cstdio>
#define int long long
const int mod = 998244353;
inline int qpow(int a, int b) {
int res = 1;
while (b) {
if (b & 1) res = 1ll * res * a % mod;
a = 1ll * a * a % mod, b >>= 1;
}
return res;
}
bool mark[10000005];
int pri[1000005], phi[10000005], pow2[10000005], facs[100005], cnt;
void init(int n) {
phi[1] = 1;
for (int i = 2; i <= n; ++ i) {
if (!mark[i]) phi[i] = i - 1, pri[++ cnt] = i;
for (int j = 1; j <= cnt && i * pri[j] <= n; ++ j) {
mark[i * pri[j]] = true;
if (i % pri[j] == 0) {phi[i * pri[j]] = phi[i] * pri[j]; break;}
phi[i * pri[j]] = phi[i] * (pri[j] - 1);
}
}
}
int gcd(int n, int m) {return m ? gcd(m, n % m) : n;}
int F(int m, int a, int b) {
if (!a || !b) return 0;
int g = gcd(a, b), s = 1;
while (g --) s *= m;
return s + 1;
}
signed main() {
init(10000000);
pow2[0] = 1;
for (int i = 1; i <= 10000000; ++ i) pow2[i] = 2ll * pow2[i - 1] % mod;
int _; scanf("%lld", &_);
while (_ --) {
int m, A, B, C, D; scanf("%lld%lld%lld%lld%lld", &m, &A, &B, &C, &D);
int n = (F(m, C, D) - F(m, A, B)) / m, ans = 0, len = 2;
facs[1] = 1, facs[2] = m;
for (int i = 1; pri[i] * pri[i] <= m && pri[i] < m; ++ i) if (m % pri[i] == 0) {
facs[++ len] = pri[i];
if (pri[i] * pri[i] != m) facs[++ len] = m / pri[i];
}
for (int i = 1; i <= len; ++ i) {
int g = facs[i];
if ((m / g) & 1)
ans = (ans + 1ll * phi[m / g] * qpow(2, n % (mod - 1) * g % (mod - 1))) % mod;
}
ans = 1ll * ans * qpow(m, mod - 2) % mod;
printf("%lld\n", ans);
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 0
Runtime Error
input:
2 0 0 1 1 1 0 1 0 0 0 0 0 1 1 1 0
output:
result:
Test #2:
score: 0
Runtime Error
input:
2 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 1
output:
result:
Test #3:
score: 0
Time Limit Exceeded
input:
2 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1
output:
result:
Test #4:
score: 0
Runtime Error
input:
2 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0
output:
result:
Test #5:
score: 0
Runtime Error
input:
4 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 ...
output:
result:
Test #6:
score: 0
Runtime Error
input:
4 1 0 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 ...
output:
result:
Test #7:
score: 0
Wrong Answer
time: 106ms
memory: 173824kb
input:
4 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 ...
output:
2 2 2 2
result:
wrong output format Unexpected end of file - int32 expected
Test #8:
score: 0
Time Limit Exceeded
input:
7 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 1 ...
output:
result:
Test #9:
score: 0
Runtime Error
input:
7 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 ...
output:
result:
Test #10:
score: 0
Runtime Error
input:
7 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 ...
output:
result:
Test #11:
score: 0
Runtime Error
input:
11 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1...
output:
result:
Test #12:
score: 0
Time Limit Exceeded
input:
11 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1...
output:
result:
Test #13:
score: 0
Runtime Error
input:
11 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0...
output:
result:
Test #14:
score: 0
Runtime Error
input:
11 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 1...
output:
result:
Test #15:
score: 0
Runtime Error
input:
11 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0...
output:
result:
Test #16:
score: 0
Runtime Error
input:
11 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 1 1...
output:
result:
Test #17:
score: 0
Runtime Error
input:
11 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 0...
output:
result:
Test #18:
score: 0
Runtime Error
input:
11 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1...
output:
result:
Test #19:
score: 0
Runtime Error
input:
11 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0...
output:
result:
Test #20:
score: 0
Runtime Error
input:
11 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0...