QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#94645 | #6190. Graph Problem | Narrator | AC ✓ | 1435ms | 8200kb | C++14 | 3.0kb | 2023-04-07 11:43:07 | 2023-04-07 11:43:09 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
namespace nqio{const unsigned R=4e5,W=4e5;char*a,*b,i[R],o[W],*c=o,*d=o+W,h[40],*p=h,y;bool s;struct q{void r(char&x){x=a==b&&(b=(a=i)+fread(i,1,R,stdin),a==b)?-1:*a++;}void f(){fwrite(o,1,c-o,stdout);c=o;}~q(){f();}void w(char x){*c=x;if(++c==d)f();}q&operator>>(char&x){do r(x);while(x<=32);return*this;}q&operator>>(char*x){do r(*x);while(*x<=32);while(*x>32)r(*++x);*x=0;return*this;}template<typename t>q&operator>>(t&x){for(r(y),s=0;!isdigit(y);r(y))s|=y==45;if(s)for(x=0;isdigit(y);r(y))x=x*10-(y^48);else for(x=0;isdigit(y);r(y))x=x*10+(y^48);return*this;}q&operator<<(char x){w(x);return*this;}q&operator<<(char*x){while(*x)w(*x++);return*this;}q&operator<<(const char*x){while(*x)w(*x++);return*this;}template<typename t>q&operator<<(t x){if(!x)w(48);else if(x<0)for(w(45);x;x/=10)*p++=48|-(x%10);else for(;x;x/=10)*p++=48|x%10;while(p!=h)w(*--p);return*this;}}qio;}using nqio::qio;
const int maxn = 505, mod = 998244353;
int qpow(int x, int y = mod - 2) {
int res = 1;
for (; y; y >>= 1, x = (ll)x * x % mod) {
if (y & 1) res = (ll)res * x % mod;
}
return res;
}
void inv(int a[maxn][maxn], int n, int b[maxn][maxn]) {
for (int i = 1; i <= n; i++) {
memset(b[i] + 1, 0, sizeof(int) * n);
b[i][i] = 1;
}
for (int i = 1; i <= n; i++) {
int p = i;
for (int j = i; j <= n; j++) {
if (a[j][i]) { p = j; break; }
}
if (p != i) {
for (int j = i; j <= n; j++) swap(a[i][j], a[p][j]);
for (int j = 1; j <= n; j++) swap(b[i][j], b[p][j]);
}
int num = qpow(a[i][i]);
for (int j = i; j <= n; j++) a[i][j] = (ll)a[i][j] * num % mod;
for (int j = 1; j <= n; j++) b[i][j] = (ll)b[i][j] * num % mod;
for (int j = 1; j <= n; j++) if (j != i) {
int v = mod - a[j][i];
for (int k = i; k <= n; k++) a[j][k] = (a[j][k] + (ll)a[i][k] * v) % mod;
for (int k = 1; k <= n; k++) b[j][k] = (b[j][k] + (ll)b[i][k] * v) % mod;
}
}
}
mt19937 rng(time(0));
int get(int l = 2, int r = mod - 2) {
return rng() % (r - l + 1) + l;
}
int n, m, q, cnt;
int N[maxn][maxn], M[maxn][maxn], P[maxn][maxn], iP[maxn][maxn];
int main() {
qio >> n >> m;
while (m--) {
int u, v;
qio >> u >> v;
N[u][v] = mod - get();
}
for (int i = 1; i <= n; i++) {
N[i][i] = mod + 1 - get();
}
inv(N, n, M);
qio >> q;
while (q--) {
int k, len, ps[10];
qio >> k;
for (int i = 1; i <= k; i++) {
qio >> ps[i];
ps[i] = (ps[i] + cnt - 1) % n + 1;
}
for (int i = 1; i <= k; i++) {
for (int j = 1; j <= k; j++) {
P[i][j] = M[ps[i]][ps[j]];
}
}
inv(P, k, iP);
qio >> len;
while (len--) {
int s, t, ans = 0;
qio >> s >> t;
s = (s + cnt - 1) % n + 1, t = (t + cnt - 1) % n + 1;
for (int i = 1; i <= k; i++) {
for (int j = 1; j <= k; j++) {
ans = (ans + (ll)M[s][ps[i]] * iP[i][j] % mod * M[ps[j]][t]) % mod;
}
}
if (ans == M[s][t]) qio << '0';
else qio << '1', ++cnt;
}
qio << '\n';
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 5636kb
input:
5 4 1 2 2 3 3 4 4 5 2 1 4 2 1 5 1 3 3 5 3 4 1 1 2
output:
01 1
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 5ms
memory: 7668kb
input:
100 4870 1 4 1 9 2 1 2 6 2 8 4 5 4 10 5 2 5 3 5 7 6 2 6 4 6 8 7 1 7 2 7 8 7 10 8 1 8 2 8 3 8 4 8 5 8 6 8 7 8 9 8 13 8 16 8 17 9 1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 18 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 11 10 15 11 1 11 2 11 3 11 4 11 5 11 6 11 7 11 8 11 9 11 10 11 12 11 18 11 20 12 1 12 2 12 3 12 4 1...
output:
1011000010 1010110101 0001010000 0000101001 1000010000 0111001101 0011001101 1100010010 0001100010 0010110101 0011001111 0001000101 1101010010 0100001100 1000100001 0100000000 1110100000 0101111010 0111001001 1110000000 1011000011 0110000000 0000000100 0001011000 1000111000 1111000010 1000110000 011...
result:
ok 100 lines
Test #3:
score: 0
Accepted
time: 4ms
memory: 5872kb
input:
100 4839 1 2 1 7 1 12 1 13 1 15 1 17 1 21 1 22 1 24 2 1 2 4 2 5 2 7 2 12 2 16 2 19 2 22 2 24 3 7 3 8 3 13 3 20 3 22 4 8 4 12 4 14 4 19 5 2 5 3 5 4 5 6 5 7 5 10 5 13 5 14 5 19 5 24 6 3 6 7 6 8 6 10 6 12 6 13 6 15 6 17 6 19 6 21 6 23 6 24 7 2 7 6 7 8 7 9 7 10 7 12 7 13 7 16 7 23 8 1 8 9 8 11 8 12 8 13...
output:
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111100111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111...
result:
ok 100 lines
Test #4:
score: 0
Accepted
time: 5ms
memory: 7700kb
input:
100 4650 1 7 1 12 1 20 1 22 2 7 2 9 2 10 2 11 2 14 2 18 2 20 3 1 3 4 3 8 3 12 3 14 3 16 3 17 3 20 3 21 3 22 4 1 4 6 4 8 4 11 4 12 4 13 4 16 4 21 5 2 5 4 5 9 5 16 5 19 5 21 6 7 6 9 6 10 6 21 7 2 7 8 7 9 7 19 7 20 7 22 8 5 8 7 8 11 8 12 8 14 8 21 9 1 9 5 9 6 9 7 9 8 9 12 9 17 9 21 9 22 10 4 10 9 10 12...
output:
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111...
result:
ok 100 lines
Test #5:
score: 0
Accepted
time: 4ms
memory: 5764kb
input:
100 4945 1 2 1 3 1 5 1 7 1 8 1 9 1 10 1 13 1 15 2 1 2 3 2 4 2 9 2 11 2 12 2 15 3 1 3 10 3 12 3 16 4 1 4 5 4 10 4 12 4 13 4 15 4 16 5 6 5 11 5 16 5 17 6 2 6 10 6 11 6 14 7 1 7 2 7 3 7 4 7 5 7 6 7 8 7 9 7 10 7 11 7 16 7 21 7 22 7 23 7 24 7 25 7 27 7 28 7 30 7 31 7 32 7 35 7 38 7 39 8 1 8 2 8 3 8 4 8 5...
output:
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1110101101 1111111111 1111111111 1111111111 1111111111 1100011011 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111...
result:
ok 100 lines
Test #6:
score: 0
Accepted
time: 371ms
memory: 6572kb
input:
500 124582 1 12 1 14 2 4 2 7 2 9 2 13 2 14 2 18 3 1 3 4 3 7 3 14 3 17 4 1 4 3 4 6 4 12 4 15 4 18 5 3 6 1 6 3 6 8 6 10 6 11 6 13 6 15 6 17 6 18 7 3 7 4 7 5 7 8 7 9 7 17 8 2 8 6 9 10 9 13 9 17 10 2 10 5 10 17 11 1 11 2 11 3 11 4 11 5 11 6 11 7 11 8 11 9 11 10 11 17 11 18 11 19 11 26 12 1 12 2 12 3 12 ...
output:
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
result:
ok 100000 lines
Test #7:
score: 0
Accepted
time: 372ms
memory: 8112kb
input:
500 125402 1 3 1 7 1 10 1 13 1 16 1 21 1 23 1 25 1 28 1 36 1 37 2 3 2 4 2 6 2 7 2 9 2 11 2 16 2 17 2 19 2 20 2 24 2 26 2 28 2 30 2 37 3 2 3 18 3 19 3 21 3 25 3 26 3 32 4 7 4 9 4 10 4 11 4 12 4 14 4 15 4 18 4 19 4 24 4 33 4 35 4 36 5 1 5 4 5 10 5 11 5 17 5 19 5 20 5 21 5 23 5 24 5 31 5 32 5 36 5 38 5...
output:
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
result:
ok 100000 lines
Test #8:
score: 0
Accepted
time: 372ms
memory: 7176kb
input:
500 123930 1 6 1 11 1 13 1 16 1 22 1 25 1 26 1 34 1 38 1 41 1 42 1 43 1 44 1 46 1 48 1 49 1 51 1 53 1 56 2 6 2 9 2 13 2 15 2 24 2 31 2 33 2 36 2 37 2 43 2 44 2 50 2 53 2 56 3 2 3 4 3 5 3 16 3 18 3 19 3 25 3 31 3 32 3 40 3 43 3 44 3 47 3 48 3 50 3 51 3 53 4 1 4 2 4 3 4 5 4 6 4 8 4 14 4 18 4 20 4 26 4...
output:
0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 ...
result:
ok 100000 lines
Test #9:
score: 0
Accepted
time: 383ms
memory: 7208kb
input:
500 123484 1 5 1 8 1 10 1 11 1 12 1 20 1 23 1 26 1 27 1 28 1 29 1 31 1 33 1 41 2 4 2 7 2 10 2 18 2 20 2 34 2 35 2 39 2 41 2 42 2 44 2 46 2 52 3 4 3 5 3 6 3 7 3 9 3 14 3 17 3 19 3 23 3 25 3 26 3 32 3 36 3 38 3 39 3 40 3 44 3 46 3 48 3 51 4 1 4 7 4 11 4 12 4 14 4 16 4 17 4 19 4 21 4 23 4 24 4 25 4 29 ...
output:
0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 ...
result:
ok 100000 lines
Test #10:
score: 0
Accepted
time: 1435ms
memory: 6988kb
input:
500 3278 2 5 2 7 3 5 4 6 4 9 5 6 5 7 5 8 6 8 6 9 6 10 7 8 7 9 8 9 9 13 9 20 9 22 9 23 9 24 9 27 9 29 9 31 10 12 10 14 10 17 10 21 10 23 10 24 10 25 10 26 10 27 11 15 11 17 11 20 11 21 11 25 12 16 12 20 12 21 12 22 12 24 12 28 12 32 12 33 12 39 12 42 12 45 12 46 12 47 12 48 13 14 13 20 13 21 13 23 13...
output:
1011111110 1010010110 0011111011 0101110101 0101011111 1111100001 1111111101 1110000110 1111111011 1111101011 1100101011 1110110111 1100111011 1110100100 1010011111 1111110111 0110111111 1111011100 1110011111 1001101000 1110100111 0111110111 1110111110 1101110001 1111010111 0100100011 1111010011 111...
result:
ok 400000 lines
Test #11:
score: 0
Accepted
time: 1408ms
memory: 6904kb
input:
500 3720 1 3 1 8 1 9 1 11 1 12 1 13 1 18 1 24 1 25 2 4 2 6 2 9 2 10 2 12 2 13 2 18 2 23 2 24 3 8 3 15 3 18 3 19 3 22 3 25 3 26 4 10 4 15 4 17 4 19 5 7 5 9 5 10 5 12 5 13 5 14 5 21 6 8 6 9 6 13 6 16 6 24 7 9 7 11 7 13 7 14 7 15 7 16 7 18 7 26 8 10 8 15 8 18 8 19 8 21 8 22 9 14 9 15 9 16 9 20 9 21 9 2...
output:
1111111101 1111111100 1110111110 1111111110 1111111111 1111111110 1101111011 1111111111 1111110111 1111111101 1111111111 0001010100 1111111111 1111111111 0011110111 1111111101 1111111111 1111111111 1110111111 1111111111 1011110011 1011111111 1111101101 1111111110 1111111111 1111111110 1111001111 110...
result:
ok 400000 lines
Test #12:
score: 0
Accepted
time: 1389ms
memory: 6308kb
input:
500 4232 1 2 1 6 1 14 1 16 2 4 2 6 2 10 2 16 2 17 2 18 2 25 2 26 2 28 3 4 3 6 3 12 3 13 3 17 3 18 3 25 4 8 4 12 4 18 4 23 4 28 5 8 5 9 5 10 5 12 5 13 5 17 5 18 5 21 5 26 5 28 6 8 6 9 6 12 6 23 6 24 6 25 6 26 6 27 6 29 7 15 7 23 7 24 7 25 7 28 8 12 8 14 8 16 8 19 8 29 9 12 9 13 9 15 9 16 9 17 9 20 9 ...
output:
1111011011 1111111111 1111111111 0111111011 1111111011 1110111111 0111111110 1110110111 1110001110 1011111111 0111111111 1111111111 1011111110 1111111111 1011111111 1111111111 1111011111 1111111011 1110111111 0111111111 0111110111 1111101111 0111110111 0111111111 1111111111 1111110011 1111111111 111...
result:
ok 400000 lines
Test #13:
score: 0
Accepted
time: 1393ms
memory: 7156kb
input:
500 6443 1 5 1 9 1 12 1 15 1 18 1 20 1 21 1 22 1 24 1 26 1 27 1 30 1 34 1 35 1 37 1 40 1 42 1 45 1 47 1 48 1 49 1 55 1 58 1 64 1 67 1 68 1 71 1 72 2 3 2 6 2 8 2 9 2 16 2 17 2 19 2 23 2 26 2 29 2 31 2 35 2 36 2 37 2 38 2 41 2 45 2 47 2 52 2 53 2 57 2 69 2 70 2 73 2 76 2 77 3 6 3 12 3 14 3 15 3 20 3 2...
output:
1001111111 0101111010 1111011111 1111111010 1111101111 0111111111 0110111111 1110111111 1111101101 1011111111 1111111111 1111111101 1110111110 1101111111 1011111111 1011111111 1111111111 1111110110 1111110101 1011111011 1111101110 1111111010 0011101101 1011111101 1111101111 1111100110 1101101000 111...
result:
ok 400000 lines
Test #14:
score: 0
Accepted
time: 1430ms
memory: 6356kb
input:
500 123824 2 4 2 6 3 1 3 10 4 2 4 6 4 7 4 8 5 2 5 3 5 4 5 7 5 8 5 11 6 7 7 3 7 5 7 6 7 8 7 11 8 2 8 4 9 1 9 2 9 3 9 4 9 5 9 6 9 7 9 8 9 12 9 14 9 17 9 21 9 23 9 24 9 25 9 26 9 27 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 13 10 15 10 18 10 19 10 23 11 1 11 2 11 3 11 4 11 5 11 6 11 7 11 8 11 10 11 15...
output:
0111110011 0110111111 1011001110 0101001011 0111110111 0011011000 1011110010 1000001101 1111000111 0101101111 1000001010 1010101010 0100000100 1011101110 1100011000 0000111110 0010100011 0110010101 1000111111 1101000001 0111110010 0011110100 0011101010 1001001111 0001010011 1010110110 0110111110 000...
result:
ok 400000 lines
Test #15:
score: 0
Accepted
time: 1391ms
memory: 6468kb
input:
500 124816 1 3 1 8 1 9 1 11 1 12 1 13 1 18 1 24 1 25 2 3 2 5 2 8 2 9 2 11 2 12 2 17 2 22 2 23 3 5 3 12 3 15 3 16 3 19 3 22 3 23 4 3 4 9 4 11 4 13 4 22 4 24 4 25 5 1 5 2 5 3 5 11 5 18 5 19 5 23 5 26 6 9 6 13 6 15 6 17 6 18 6 19 6 20 6 22 7 4 7 6 7 12 7 15 7 16 7 18 7 19 8 2 8 3 8 4 8 9 8 10 8 11 8 16...
output:
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111...
result:
ok 400000 lines
Test #16:
score: 0
Accepted
time: 1431ms
memory: 8088kb
input:
500 124872 1 2 1 6 1 14 1 16 2 1 2 4 2 6 2 10 2 16 2 17 2 18 2 25 2 26 2 28 3 1 3 2 3 5 3 11 3 12 3 16 3 17 3 24 4 1 4 5 4 9 4 15 4 20 4 25 4 30 5 1 5 2 5 3 5 6 5 7 5 11 5 12 5 15 5 20 5 22 5 26 5 27 5 30 6 1 6 13 6 14 6 15 6 16 6 17 6 19 6 28 7 1 7 8 7 9 7 10 7 13 7 19 7 21 7 23 7 26 8 1 8 7 8 12 8...
output:
0001111111 1101111010 1110011011 1011001101 0110111111 0000111000 1101010111 0101001111 1001101011 1111111101 1111110011 0010011010 0001000001 0101101111 1111000101 1100100001 0011010101 1010010110 0011111011 0000011011 1100010000 1011011011 1111010001 0110111011 0111000111 0111111000 1111000111 011...
result:
ok 400000 lines
Test #17:
score: 0
Accepted
time: 1400ms
memory: 8200kb
input:
500 124293 1 5 1 9 1 12 1 15 1 18 1 20 1 21 1 22 1 24 1 26 1 27 1 30 1 34 1 35 1 37 1 40 1 42 1 45 1 47 1 48 1 49 1 55 1 58 1 64 1 67 1 68 1 71 1 72 2 1 2 5 2 7 2 8 2 15 2 16 2 18 2 22 2 25 2 28 2 30 2 34 2 35 2 36 2 37 2 40 2 44 2 46 2 51 2 52 2 56 2 68 2 69 2 72 2 75 2 76 3 2 3 9 3 11 3 12 3 17 3 ...
output:
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111101 1111111111 1111111111 1111111111 1111111111 1100100100 1111111111 1111111111 1111111111 111...
result:
ok 400000 lines