QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#627828 | #8150. XOR Sum | lonelywolf | AC ✓ | 148ms | 6656kb | C++20 | 1.7kb | 2024-10-10 17:17:35 | 2024-10-10 17:17:35 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
constexpr int mod = 1e9 + 7;
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m, k;
cin >> n >> m >> k;
vector<int> a;
while (m) {
a.push_back(m % 2);
m /= 2;
}
auto qpow = [&](int x, int y) {
int res = 1;
for (; y; y /= 2, x = x * x % mod) {
if (y % 2) {
res = res * x % mod;
}
}
return res;
};
vector<int> fac(k + 1, 1), inv(k + 1, 1);
for (int i = 1; i <= k; i++) {
fac[i] = fac[i - 1] * i % mod;
inv[i] = qpow(fac[i], mod - 2);
}
int mx = 0;
for (int i = 0; i <= k; i++) {
mx = max(mx, i * (k - i));
}
auto c = [&](int x, int y) {
return fac[x] * inv[y] % mod * inv[x - y] % mod;
};
int sz = a.size();
vector dp(sz, vector(k + 1, map<int, int>()));
function<int(int, int, int)> dfs = [&](int now, int x, int s) {
if (now == -1) {
if (s == 0) {
return 1LL;
} else {
return 0LL;
}
}
if (s < 0) {
return 0LL;
}
if (mx * ((1LL << (now + 1)) - 1) < s) {
return 0LL;
}
if (dp[now][x].count(s)) {
return dp[now][x][s];
}
int ans = 0;
if (a[now]) {
for (int i = 0; i <= x; i++) {
for (int j = 0; j <= k - x; j++) {
int v = dfs(now - 1, i, s - (1LL << now) * (i + j) * (k - i - j));
v = v * c(x, i) % mod * c(k - x, j) % mod;
ans = (ans + v) % mod;
}
}
} else {
for (int i = 0; i <= k - x; i++) {
int v = dfs(now - 1, x, s - (1LL << now) * i * (k - i));
v = v * c(k - x, i) % mod;
ans = (ans + v) % mod;
}
}
dp[now][x][s] = ans;
return ans;
};
cout << dfs(sz - 1, k, n) << "\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: 1ms
memory: 3856kb
input:
6 2 3
output:
12
result:
ok 1 number(s): "12"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
30 6 5
output:
1520
result:
ok 1 number(s): "1520"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
0 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
0 0 2
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
0 1145141919 2
output:
145141913
result:
ok 1 number(s): "145141913"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
0 0 18
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
0 12412414 18
output:
12412415
result:
ok 1 number(s): "12412415"
Test #8:
score: 0
Accepted
time: 8ms
memory: 4356kb
input:
32071009996106 682053093123 12
output:
443207413
result:
ok 1 number(s): "443207413"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
35533005762427 688386210611 9
output:
0
result:
ok 1 number(s): "0"
Test #10:
score: 0
Accepted
time: 65ms
memory: 6444kb
input:
35533005762427 688386210611 18
output:
132815685
result:
ok 1 number(s): "132815685"
Test #11:
score: 0
Accepted
time: 148ms
memory: 6564kb
input:
12412412412412 549755813887 18
output:
769139144
result:
ok 1 number(s): "769139144"
Test #12:
score: 0
Accepted
time: 44ms
memory: 4780kb
input:
12412412412412 549755813887 17
output:
256540093
result:
ok 1 number(s): "256540093"
Test #13:
score: 0
Accepted
time: 24ms
memory: 4440kb
input:
12412412412412 549755813887 15
output:
661919152
result:
ok 1 number(s): "661919152"
Test #14:
score: 0
Accepted
time: 8ms
memory: 4264kb
input:
8213830533897 180838478436 12
output:
960275439
result:
ok 1 number(s): "960275439"
Test #15:
score: 0
Accepted
time: 66ms
memory: 6444kb
input:
8213830533897 180838478436 18
output:
794870059
result:
ok 1 number(s): "794870059"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
56737445336495 759179417237 12
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 67ms
memory: 6304kb
input:
56737445336495 759179417237 18
output:
302105482
result:
ok 1 number(s): "302105482"
Test #18:
score: 0
Accepted
time: 9ms
memory: 4436kb
input:
56737445336495 759179417237 15
output:
0
result:
ok 1 number(s): "0"
Test #19:
score: 0
Accepted
time: 7ms
memory: 4520kb
input:
12412412412412 274877906944 18
output:
430003400
result:
ok 1 number(s): "430003400"
Test #20:
score: 0
Accepted
time: 12ms
memory: 5500kb
input:
32412412412412 274877906944 18
output:
657686236
result:
ok 1 number(s): "657686236"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
562949953421311 549755813887 18
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
985162418487295 549755813887 18
output:
0
result:
ok 1 number(s): "0"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
985162418487295 962072674303 18
output:
0
result:
ok 1 number(s): "0"
Test #24:
score: 0
Accepted
time: 145ms
memory: 6656kb
input:
35184372088831 962072674303 18
output:
665848241
result:
ok 1 number(s): "665848241"
Extra Test:
score: 0
Extra Test Passed