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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#133495 | #4932. Moon and Sun | Vengeful_Spirit# | WA | 6ms | 7064kb | C++20 | 2.4kb | 2023-08-02 10:11:57 | 2023-08-02 10:12:00 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int MN = 1e5+5;
const int P = 235813;
int n;
int a[MN], fac[P + 5], inv[P + 5], _inv[P + 5], b[MN];
int Mul(int x, int y) {
return (1ll * x * y % P + P) % P;
}
int Add(int x, int y) {
return (x + y) % P;
}
int C(int n, int m) {
return Mul(fac[n], Mul(inv[m], inv[n - m]));
}
int ton[MN * 2];
int tot = 0;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for(int i = 1; i <= n;++i) {
cin >> a[i];
++ton[a[i] + 100000];
if(ton[a[i] + 100000] == 2) ++tot;
}
for(int i = fac[1] = inv[1] = fac[0] = inv[0] = 1; i < P; ++i) {
if(i == 1) continue;
fac[i] = Mul(fac[i - 1], i);
inv[i] = Mul(inv[P % i], (P - P/i));
}
_inv[1] = _inv[0] = 1;
for(int i = 2; i < P; ++i) _inv[i] = inv[i], inv[i] = Mul(inv[i - 1], inv[i]);
int sum = 0;
for(int i = 1; i <= n; ++i) {
if((i & 1) != (n & 1)) b[i] = P - C(n - 1, i - 1);
else b[i] = C(n - 1, i - 1);
sum = Add(sum, Mul(a[i], b[i]));
}
// cerr << "sum = " << sum << endl;
int ans = 0;
for(int i = 1; i <= n; ++i) {
int _ = Add(sum, P - Mul(a[i], b[i]));
_ = P - _;
// cerr << _ << endl;
// a[i] * r = _ mod P
// cerr << "b[i] = " << b[i] << endl;
int r = Mul(_inv[b[i]], _);
// cerr << "r = " << r << endl;
// cerr << Add(Add(sum, P - Mul(a[i], b[i])), Mul(r, a[i])) << "~!~~" << endl;
bool fl = 0;
// cas1
if(r >= -100000 && r <= 100000) {
if(r != a[i]) {
int tmp = tot;
if(ton[a[i] + 100000] == 2) --tmp;
if(ton[r + 100000] == 1) ++tmp;
if(tmp == 0) {
fl = 1;
// cerr << i << " " << r << endl;
}
}
}
// cas2
if(!fl) {
r -= P;
if(r >= -100000 && r <= 100000) {
if(r != a[i]) {
int tmp = tot;
if(ton[a[i] + 100000] == 2) --tmp;
if(ton[r + 100000] == 1) ++tmp;
if(tmp == 0) {
fl = 1;
// cerr << i << " " << r << endl;
}
}
}
}
ans += fl;
}
cout << ans;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 6ms
memory: 6240kb
input:
5 4 1 0 7 2
output:
3
result:
ok single line: '3'
Test #2:
score: 0
Accepted
time: 2ms
memory: 6372kb
input:
4 10 20 30 -40
output:
4
result:
ok single line: '4'
Test #3:
score: 0
Accepted
time: 1ms
memory: 6240kb
input:
2 100 100
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 3ms
memory: 6744kb
input:
16 19 43 69 21 72 9 70 -15 25 29 -23 -13 -41 79 -89 93
output:
14
result:
ok single line: '14'
Test #5:
score: -100
Wrong Answer
time: 6ms
memory: 7064kb
input:
392 23531 -70064 22423 -55534 23391 -22700 88756 80526 36369 -10007 -28096 22617 -12591 80476 39531 -80144 -87955 93969 33358 30633 34132 -65817 -57922 -28367 -74214 50143 -36912 21570 -27256 -34989 14043 -92315 -12277 26859 97682 91797 -79591 30563 -58224 27016 -67737 99067 30626 16374 -49340 -1712...
output:
1
result:
wrong answer 1st lines differ - expected: '334', found: '1'