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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#588122 | #7306. Multi-stage Marathon | Urd | AC ✓ | 118ms | 11716kb | C++17 | 2.7kb | 2024-09-25 01:45:26 | 2024-09-25 01:45:27 |
Judging History
answer
#include <bits/stdc++.h>
#define ALL(v) begin(v), end(v)
using i64 = int64_t;
const int kMaxN = 75, kMaxT = 2E6 + 5, kMod = 1E9 + 7;
void Add(int &x, int y) {
if ((x += y) >= kMod) x -= kMod;
}
auto Sum(int x, int y) { return Add(x, y), x; }
auto Neg(int x) { return Sum(kMod, -x); }
auto Power(int a, int b, int p = kMod) {
int r = 1;
for (; b; b >>= 1, a = i64{a} * a % p) {
if (b & 1) r = i64{r} * a % p;
}
return r;
}
auto Inv(int a, int p = kMod) { return Power(a, p - 2, p); }
int n, m, t;
std::array<std::string, kMaxN> g;
std::array<int, kMaxN> coef, poly;
std::array<std::array<int, kMaxN>, kMaxN> adj, mat;
auto Det() {
int r = n & 1 ? 1 : Neg(1);
for (int i = 0, j, inv; i < n; ++i) {
for (j = i; j < n && !mat[j][i]; ++j);
if (j == n) return 0;
if (j - i) std::swap(mat[i], mat[j]), r = Neg(r);
r = i64{r} * mat[i][i] % kMod, inv = Neg(Inv(mat[i][i]));
for (int j = i + 1; j < n; ++j) {
int rat = i64{mat[j][i]} * inv % kMod;
for (int k = i; k < n; ++k) Add(mat[j][k], i64{mat[i][k]} * rat % kMod);
}
}
return r;
}
void CharPoly() {
for (int i = 0; i <= n; ++i) {
mat = adj;
for (int j = 0; j < n; ++j) Add(mat[j][j], Neg(i));
int c = Det();
for (int j = poly[0] = 1; j < n; ++j) poly[j] = 0;
for (int j = 0; j <= n; ++j) {
if (i == j) continue;
c = i64{c} * Inv(i - j + kMod) % kMod;
for (int k = n - 1; ~k; --k) {
poly[k] = i64{poly[k]} * Neg(j) % kMod;
if (k) Add(poly[k], poly[k - 1]);
}
}
for (int j = 0; j < n; ++j) Add(coef[j], i64{c} * poly[j] % kMod);
}
}
int ans;
std::array<int, kMaxN> f;
std::array<int, kMaxT> v;
std::array<std::array<int, kMaxN>, kMaxN> lit;
auto main() -> int {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr), std::cout.tie(nullptr);
std::cin >> n >> m >> t;
for (int i = 0; i < n; ++i) std::cin >> g[i];
for (int i = 0; i < n; ++i) {
int ideg = Inv(std::count(ALL(g[i]), '1'));
for (int j = 0; j < n; ++j) {
if (g[i][j] == '1') adj[i][j] = ideg;
}
}
CharPoly();
lit[0][n - 1] = 1;
for (int i = 1; i < n; ++i) {
for (int j = 0; j < n; ++j) {
for (int k = 0; k < n; ++k) {
Add(lit[i][j], i64{adj[j][k]} * lit[i - 1][k] % kMod);
}
}
}
for (int i = 0, t, p; i < m; ++i) std::cin >> t >> p, v[t] = p;
for (int i = 1; i <= t; ++i) {
__int128 s = 0;
for (int j = 0; j < n; ++j) s += i64{f[j]} * coef[j];
for (int j = 1; j < n; ++j) f[j - 1] = f[j];
f[n - 1] = s % kMod;
if (v[i]) {
for (int j = 0; j < n; ++j) Add(f[j], lit[j][v[i] - 1]);
}
ans ^= f[0];
}
std::cout << ans << '\n';
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: 3640kb
input:
2 2 2 11 11 1 1 2 2
output:
500000005
result:
ok 1 number(s): "500000005"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
3 1 6 110 011 101 1 1
output:
191901811
result:
ok 1 number(s): "191901811"
Test #3:
score: 0
Accepted
time: 19ms
memory: 3700kb
input:
70 1000 10000 1000000000000000000000000000000100000000100000000000000100000000000000 0110000000000001100000100000000000000001000000010000000000000000000000 0010000000000000000000000000000000000000000000000000000000000000000000 0001000000000000000000000000001000000000000000000000000000000000100000 00...
output:
1026871829
result:
ok 1 number(s): "1026871829"
Test #4:
score: 0
Accepted
time: 18ms
memory: 3704kb
input:
70 1000 10000 1000000000000000000000000000000000000000000000000000000001000001010000 0100000000000000000000000000000010000000000000000000000000000000000000 0010000000000000000000010100000001000001000000000000000010000000000000 0001000000000000000010000000000000010000000000000000000000000000000000 00...
output:
743579645
result:
ok 1 number(s): "743579645"
Test #5:
score: 0
Accepted
time: 18ms
memory: 3956kb
input:
70 1000 10000 1100000001000100000000000001110000000000000100000000000001000000000100 0110010000000100000000000100000000100000100000000000000000000000010001 0010000010000000000000000000000000001000000000000000000100010000000000 1001100010100000001000010000000000000001000000000000010000000000001000 00...
output:
362752022
result:
ok 1 number(s): "362752022"
Test #6:
score: 0
Accepted
time: 18ms
memory: 3928kb
input:
70 1000 10000 1010000100000010100001010000100000000010000110110000000000000000001000 0101000010000100001010101010010000000000000000000000001011011010000100 0010001010001100000010010001001001101100010110100010001000000010000000 0101000001100010101010101101000100000101110010000100100010100110000001 00...
output:
69495152
result:
ok 1 number(s): "69495152"
Test #7:
score: 0
Accepted
time: 18ms
memory: 3672kb
input:
70 1000 10000 1110001110101011001011011010000110000110001100010010110011111100001000 1101110110001010001111001101010100001001101010001100101111010011010001 1010011100110110110001001011100110101101111110001100101010100111101110 1001001001000111110100001000001011001000111101111101000001111111110111 00...
output:
976173806
result:
ok 1 number(s): "976173806"
Test #8:
score: 0
Accepted
time: 18ms
memory: 3664kb
input:
70 1000 10000 1111111111011111111100101011001011111101100111111111111111101011011111 1110111111100100101111111101111110111111100111110000101111101101101111 1111110111111110101000110011110111101111110111111111111111011110111011 1111011111001110111110101111111100011101111100110111011111111011001010 11...
output:
407126826
result:
ok 1 number(s): "407126826"
Test #9:
score: 0
Accepted
time: 14ms
memory: 3720kb
input:
70 1000 10000 1111110101111111110111111111111111111101111010110111111111111111011111 1111011111111111111111111011111111111111111111110111111111111111111111 1110110111101100111111011110111111111111101111111111111111111111111111 1111111111111111110111111111111110111111011011111111101111111010011111 01...
output:
95235184
result:
ok 1 number(s): "95235184"
Test #10:
score: 0
Accepted
time: 18ms
memory: 3660kb
input:
70 1000 10000 1111110111110111111111111111111111111111111111101111111111111111101111 1111111011111011111111111111111111111111111111111111111111111111111111 1111111111111111111011111111110111111111111011111111111111011111111111 1111110111111111111111111011101110101111111111111111101111101111111111 11...
output:
137040690
result:
ok 1 number(s): "137040690"
Test #11:
score: 0
Accepted
time: 14ms
memory: 3608kb
input:
70 1000 10000 1111111111111111111111111111111111111111111111111111111111111111111111 1111111101111011111101111111111011111111111111111111111110011111111111 1111111111111111101111111111111110111011111111011111111111111111111111 1111111111111111111111111111111111111111111111111111111111111111111111 11...
output:
918692147
result:
ok 1 number(s): "918692147"
Test #12:
score: 0
Accepted
time: 113ms
memory: 11432kb
input:
70 10000 2000000 1111111111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111111111111111111111111111111111111111...
output:
154305482
result:
ok 1 number(s): "154305482"
Test #13:
score: 0
Accepted
time: 118ms
memory: 11376kb
input:
70 10000 2000000 1000010000000000000000000001000000000000000000000000000010000000000000 0100000000000000000000010000000001000010000000000000000000000000000000 0010000000000000000000100000000001001000000000000000000000000000010000 0001000000100000000000000000000000000000000000000000000100000000000000...
output:
601860703
result:
ok 1 number(s): "601860703"
Test #14:
score: 0
Accepted
time: 115ms
memory: 11424kb
input:
70 10000 2000000 1000000000000000010000000001000000000100000000000000001000000000000000 0110000001000000000000000010000000000000000001000001000000000000000000 0010000000110000010010001000000000000000000000101100000000000000000100 0001000000000000010000000000000000000101000100010000000000010010000000...
output:
632681263
result:
ok 1 number(s): "632681263"
Test #15:
score: 0
Accepted
time: 118ms
memory: 11712kb
input:
70 10000 2000000 1000100000100000000000000000000000000001000000011010110000000000100000 1100100010000000000000101000000000000000000000000001000000000000000000 0010000000000001000000000000000001000000000000010000000000000001000000 0001000000001000000000000010100100000000000000000001000100000000001000...
output:
50850594
result:
ok 1 number(s): "50850594"
Test #16:
score: 0
Accepted
time: 118ms
memory: 11424kb
input:
70 10000 2000000 1100000001001000001000100000010000100001000111000001110001100000000100 0110001100000011000001100000001100010100010100010000101100101110001100 0110000100110010001000100000010000010100010000000000000101000101000000 0101000100011010100000000010000010100000011100100000110101001010001100...
output:
117421938
result:
ok 1 number(s): "117421938"
Test #17:
score: 0
Accepted
time: 118ms
memory: 11652kb
input:
70 10000 2000000 1011001110101010010100110110100011001101010001100011111010101111100100 1111000000100001000100100111000011111011110111111000110100101010011010 0011110100101011000000010000100011110100011111001000100010110111110011 0001000111111000001100100110110010110000001010000101110110000000011011...
output:
671321149
result:
ok 1 number(s): "671321149"
Test #18:
score: 0
Accepted
time: 114ms
memory: 11716kb
input:
70 10000 2000000 1111111111101011101101111111011111100111111111001111011100111111110110 0111011001011100111100111111100101101111111101100111100011111111111101 1010111111111110111111111110110110111110111011100111000001111011110100 1111110100101010101111010111101111111111111111111111011101011111101111...
output:
714929330
result:
ok 1 number(s): "714929330"
Test #19:
score: 0
Accepted
time: 118ms
memory: 11416kb
input:
70 10000 2000000 1001111111111111111111111110111111011111111011011111111101111111111111 1110101111011110111111111111111111111111111111110111111111111111110110 1011010110101111111101111111111011111111111110111111100101111111100111 1111111110111111111111100111111100111111101111110101011101111110110111...
output:
706080518
result:
ok 1 number(s): "706080518"
Test #20:
score: 0
Accepted
time: 117ms
memory: 11432kb
input:
70 10000 2000000 1111111111111111111111111111111101111110111111111111111111111111111111 1111110111111111111111111111111111111111111111111111111111101111110111 1111111101111111111111111111111111111111111111111111101011111111111111 1111111111111111111111111111111111111111111111111111111111111111111111...
output:
456121666
result:
ok 1 number(s): "456121666"
Test #21:
score: 0
Accepted
time: 114ms
memory: 11404kb
input:
70 10000 2000000 1111110111111111111111111111111111111111111111111111111111111111111111 1101111111111111111101111111111111111111111110111111111111111110111111 1111111111111111111111111111111111111111111111011111111111111111111111 1111111111111111111111111111111111111111111111111111111110111011111011...
output:
964660092
result:
ok 1 number(s): "964660092"
Extra Test:
score: 0
Extra Test Passed