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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#313313 | #8150. XOR Sum | PetroTarnavskyi# | AC ✓ | 75ms | 14104kb | C++20 | 1.9kb | 2024-01-24 17:23:20 | 2024-01-24 17:23:22 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second
typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;
const int mod = 1'000'000'007;
const int N = 1 << 20;
const int LOG = 52;
const int K = 19;
int fact[N], ifact[N];
int mult(int a, int b)
{
return (LL) a * b % mod;
}
int add(int a, int b)
{
return a + b < mod ? a + b : a + b - mod;
}
int sub(int a, int b)
{
return a - b >= 0 ? a - b : a - b + mod;
}
void updAdd(int& a, int b)
{
a += b;
if (a >= mod)
a -= mod;
}
int binpow(int a, int n)
{
int res = 1;
while(n)
{
if(n & 1)
res = mult(res, a);
a = mult(a, a);
n /= 2;
}
return res;
}
void init()
{
fact[0] = 1;
FOR(i, 1, N)
fact[i] = mult(fact[i - 1], i);
ifact[N - 1] = binpow(fact[N - 1], mod - 2);
RFOR(i, N, 1)
ifact[i - 1] = mult(ifact[i], i);
}
int C(int n, int k)
{
return mult(fact[n], mult(ifact[n - k], ifact[k]));
}
int getBit(LL n, int i)
{
return (n >> i) & 1;
}
LL m;
int k;
unordered_map<LL, int> dp[LOG][K];
int f(int pos, int cnt, LL n)
{
if (n > (k / 2) * (k + 1) / 2 * ((1LL << pos) - 1))
return 0;
if (pos == 0)
return 1;
if (dp[pos][cnt].count(n))
return dp[pos][cnt][n];
int& res = dp[pos][cnt][n];
int b = getBit(m, pos - 1);
int v = b ? cnt : 0;
FOR(i, 0, v + 1)
{
FOR(j, 0, k - cnt + 1)
{
LL nn = n - (((LL)(i + j) * (k - i - j)) << (pos - 1));
if (nn >= 0)
updAdd(res, mult(mult(C(cnt, i), C(k - cnt, j)), f(pos - 1, b ? i : cnt, nn)));
}
}
return res;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
init();
LL n;
cin >> n >> m >> k;
cout << f(LOG - 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: 12ms
memory: 11780kb
input:
6 2 3
output:
12
result:
ok 1 number(s): "12"
Test #2:
score: 0
Accepted
time: 12ms
memory: 11864kb
input:
30 6 5
output:
1520
result:
ok 1 number(s): "1520"
Test #3:
score: 0
Accepted
time: 12ms
memory: 12064kb
input:
0 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 12ms
memory: 11840kb
input:
0 0 2
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 9ms
memory: 11872kb
input:
0 1145141919 2
output:
145141913
result:
ok 1 number(s): "145141913"
Test #6:
score: 0
Accepted
time: 9ms
memory: 11784kb
input:
0 0 18
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 12ms
memory: 11796kb
input:
0 12412414 18
output:
12412415
result:
ok 1 number(s): "12412415"
Test #8:
score: 0
Accepted
time: 17ms
memory: 12324kb
input:
32071009996106 682053093123 12
output:
443207413
result:
ok 1 number(s): "443207413"
Test #9:
score: 0
Accepted
time: 9ms
memory: 12028kb
input:
35533005762427 688386210611 9
output:
0
result:
ok 1 number(s): "0"
Test #10:
score: 0
Accepted
time: 47ms
memory: 13896kb
input:
35533005762427 688386210611 18
output:
132815685
result:
ok 1 number(s): "132815685"
Test #11:
score: 0
Accepted
time: 75ms
memory: 13992kb
input:
12412412412412 549755813887 18
output:
769139144
result:
ok 1 number(s): "769139144"
Test #12:
score: 0
Accepted
time: 35ms
memory: 12668kb
input:
12412412412412 549755813887 17
output:
256540093
result:
ok 1 number(s): "256540093"
Test #13:
score: 0
Accepted
time: 17ms
memory: 12352kb
input:
12412412412412 549755813887 15
output:
661919152
result:
ok 1 number(s): "661919152"
Test #14:
score: 0
Accepted
time: 16ms
memory: 12548kb
input:
8213830533897 180838478436 12
output:
960275439
result:
ok 1 number(s): "960275439"
Test #15:
score: 0
Accepted
time: 38ms
memory: 13808kb
input:
8213830533897 180838478436 18
output:
794870059
result:
ok 1 number(s): "794870059"
Test #16:
score: 0
Accepted
time: 8ms
memory: 11844kb
input:
56737445336495 759179417237 12
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 33ms
memory: 13840kb
input:
56737445336495 759179417237 18
output:
302105482
result:
ok 1 number(s): "302105482"
Test #18:
score: 0
Accepted
time: 13ms
memory: 12184kb
input:
56737445336495 759179417237 15
output:
0
result:
ok 1 number(s): "0"
Test #19:
score: 0
Accepted
time: 12ms
memory: 12528kb
input:
12412412412412 274877906944 18
output:
430003400
result:
ok 1 number(s): "430003400"
Test #20:
score: 0
Accepted
time: 12ms
memory: 13236kb
input:
32412412412412 274877906944 18
output:
657686236
result:
ok 1 number(s): "657686236"
Test #21:
score: 0
Accepted
time: 12ms
memory: 11792kb
input:
562949953421311 549755813887 18
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 12ms
memory: 11836kb
input:
985162418487295 549755813887 18
output:
0
result:
ok 1 number(s): "0"
Test #23:
score: 0
Accepted
time: 12ms
memory: 11864kb
input:
985162418487295 962072674303 18
output:
0
result:
ok 1 number(s): "0"
Test #24:
score: 0
Accepted
time: 69ms
memory: 14104kb
input:
35184372088831 962072674303 18
output:
665848241
result:
ok 1 number(s): "665848241"
Extra Test:
score: 0
Extra Test Passed