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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#63225 | #1262. Justice For Everyone | Elegia | AC ✓ | 133ms | 18068kb | C++17 | 3.7kb | 2022-11-20 23:33:46 | 2022-11-20 23:33:48 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long ull;
const int N = 35, L = 12, P = 998244353;
int mpow(int x, int k) {
if (k == 0) return 1;
int ret = mpow(x * (ull)x % P, k >> 1);
if (k & 1) ret = ret * (ull)x % P;
return ret;
}
int norm(int x) { return x >= P ? x - P : x; }
int reduce(int x) { return x < 0 ? x + P : x; }
void add(int& x, int y) {
if ((x += y - P) < 0) x += P;
}
void sub(int& x, int y) {
if ((x -= y) < 0) x += P;
}
int root[(1 << L) + 1];
void prep(int l) {
int n = 1 << L;
int* w2 = root;
*w2 = 1;
w2[1 << l] = mpow(31, 1 << (21 - l));
for (int i = l; i; --i) w2[1 << (i - 1)] = (ull)w2[1 << i] * w2[1 << i] % P;
for (int i = 1; i < n; ++i) w2[i] = (ull)w2[i & (i - 1)] * w2[i & -i] % P;
}
void DIF(int *a, int l) {
int *j, *k, n = 1 << l, len = n >> 1, r, *o;
for (; len; len >>= 1)
for (j = a, o = root; j != a + n; j += len << 1, ++o)
for (k = j; k != j + len; ++k) {
r = (ull)*o * k[len] % P;
k[len] = reduce(*k - r);
add(*k, r);
}
}
void DIT(int* a, int l) {
int *j, *k, n = 1 << l, len = 1, r, *o;
for (; len != n; len <<= 1)
for (j = a, o = root; j != a + n; j += len << 1, ++o)
for (k = j; k != j + len; ++k) {
r = reduce(*k + k[len] - P);
k[len] = ull(*k - k[len] + P) * *o % P;
*k = r;
}
}
void fft(int* a, int lgn, int d = 1) {
int n = 1 << lgn;
if (d == 1) DIF(a, lgn);
else {
DIT(a, lgn);
reverse(a + 1, a + n);
ull nv = P - (P - 1) / n;
for (int i = 0; i < n; ++i) a[i] = a[i] * nv % P;
}
}
int n;
int f[N][N][1 << L], mat[N][N];
int fac[2 << L], ifac[2 << L], res[1 << L];
pair<int, int> a[N];
void GG() {
cout << "0\n";
exit(0);
}
void init(int M) {
fac[0] = 1;
for (int i = 1; i <= M; ++i) fac[i] = fac[i - 1] * (ull)i % P;
ifac[M] = mpow(fac[M], P - 2);
for (int i = M; i; --i) ifac[i - 1] = ifac[i] * (ull)i % P;
}
int det() {
int ret = 1;
for (int i = 1; i <= n; ++i) {
int o = -1;
for (int j = i; j <= n; ++j) if (mat[j][i]) {
o = j;
break;
}
if (o == -1) return 0;
if (o != i) {
ret = P - ret;
for (int j = i; j <= n; ++j) swap(mat[i][j], mat[o][j]);
}
ret = ret * (ull)mat[i][i] % P;
int nv = mpow(mat[i][i], P - 2);
for (int j = i; j <= n; ++j) mat[i][j] = mat[i][j] * (ull)nv % P;
for (int j = i + 1; j <= n; ++j) for (int k = n; k >= i; --k)
mat[j][k] = (mat[j][k] + (ull)(P - mat[j][i]) * mat[i][k]) % P;
}
return ret;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
prep(L);
init((2 << L) - 1);
cin >> n;
for (int i = 1; i <= n; ++i) cin >> a[i].first;
for (int i = 1; i <= n; ++i) cin >> a[i].second;
sort(a + 1, a + n + 1);
int sum = 0;
for (int i = 1; i <= n; ++i) {
sum += a[i].second - a[i].first;
if (a[i].first > a[i].second) GG();
if (a[i].second < a[i - 1].second) GG();
}
if (sum % 2) GG();
for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (a[i].first <= a[j].second) {
int t = a[j].second - a[i].first;
for (int k = 0; k <= t / 2; ++k) f[i][j][k] = ifac[k] * (ull)ifac[t - k * 2] % P;
fft(f[i][j], L, 1);
}
for (int i = 0; i != 1 << L; ++i) {
for (int j = 1; j <= n; ++j)
for (int k = 1; k <= n; ++k)
mat[j][k] = f[j][k][i];
res[i] = det();
}
fft(res, L, -1);
int ans = 0;
for (int i = 0; i <= sum / 2; ++i) {
int v = res[i] * (ull)fac[sum - i * 2] % P * fac[sum / 2] % P * ifac[sum / 2 - i] % P;
if (i & 1) sub(ans, v);
else add(ans, v);
}
ans = ans * (ull)mpow(2, P - 1 - sum / 2) % P;
cout << ans << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3608kb
input:
3 1 2 3 3 4 5
output:
1
result:
ok answer is '1'
Test #2:
score: 0
Accepted
time: 3ms
memory: 3556kb
input:
3 1 2 3 7 8 9
output:
42
result:
ok answer is '42'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3436kb
input:
3 1 4 7 3 6 9
output:
6
result:
ok answer is '6'
Test #4:
score: 0
Accepted
time: 3ms
memory: 3472kb
input:
1 1 3
output:
0
result:
ok answer is '0'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3404kb
input:
1 1 1
output:
1
result:
ok answer is '1'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3472kb
input:
2 1 4 4 7
output:
1
result:
ok answer is '1'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
10 10 9 8 7 6 1 2 3 4 5 11 12 13 114 115 120 129 128 127 126
output:
0
result:
ok answer is '0'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3476kb
input:
30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 131
output:
0
result:
ok answer is '0'
Test #9:
score: 0
Accepted
time: 129ms
memory: 18068kb
input:
30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
output:
936606510
result:
ok answer is '936606510'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
30 16 21 33 44 51 60 71 81 91 100 110 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199 110 111 112 113 114 115 116 117 118 119 120 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199
output:
0
result:
ok answer is '0'
Test #11:
score: 0
Accepted
time: 108ms
memory: 11984kb
input:
30 16 21 33 44 51 60 71 81 91 100 110 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 199 110 111 112 113 114 115 116 117 118 119 120 122 131 144 155 160 162 171 172 174 177 179 187 188 189 191 192 193 194 200
output:
836228983
result:
ok answer is '836228983'
Test #12:
score: 0
Accepted
time: 20ms
memory: 5180kb
input:
10 10 9 8 7 6 5 4 3 2 1 110 109 108 107 106 105 104 103 102 101
output:
422463757
result:
ok answer is '422463757'
Test #13:
score: 0
Accepted
time: 133ms
memory: 17932kb
input:
30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200
output:
575061951
result:
ok answer is '575061951'