QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#106779 | #3161. Another Coin Weighing Puzzle | marsxiang5902# | AC ✓ | 54ms | 8344kb | C++17 | 1.1kb | 2023-05-19 06:52:07 | 2023-05-19 06:52:08 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int MN = 1e6+5, MOD = 119<<23|1;
ll fpow(ll b, int e=MOD-2) {
ll ret = 1;
for (; e; e>>=1) {
if (e&1) ret = ret*b %MOD;
b = b*b %MOD;
} return ret;
}
int N, M, pfs[MN]; bool hasSq[MN];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N >> M;
ll ans = 0;
for (int i = 2; i <= M; i++) {
if (hasSq[i]) continue;
if (!pfs[i]) {
for (int j = i; j <= M; j += i)
++pfs[j];
for (ll j = ll(i)*i; j <= M; j += ll(i)*i)
hasSq[j] = 1;
}
ans += (pfs[i]&1 ? 1 : -1) * (fpow((M/i)*2+1, N) - 1);
}
ans = fpow(M*2+1, N) - ans;
printf("%lld\n", (ans%MOD+MOD)%MOD);
/*int ans0 = 0, ar[N]; fill(ar, ar+N, -M);
while (1) {
int g = 0;
for (int i = 0; i < N; i++)
g = __gcd(g, abs(ar[i]));
ans0 += g == 1 || g == 0;
if (accumulate(ar, ar+N, 0) == N*M) break;
for (int i = 0; i < N; i++)
if (ar[i] == M) ar[i] = -M;
else { ++ar[i]; break; }
}
printf("%d\n", ans0);*/
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 3480kb
input:
2 1
output:
9
result:
ok single line: '9'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3480kb
input:
2 2
output:
17
result:
ok single line: '17'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
10000 10000
output:
689223145
result:
ok single line: '689223145'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
9999 31
output:
986106162
result:
ok single line: '986106162'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
57 9817
output:
447253096
result:
ok single line: '447253096'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3456kb
input:
501 499
output:
247755220
result:
ok single line: '247755220'
Test #7:
score: 0
Accepted
time: 7ms
memory: 4388kb
input:
97424 174829
output:
964884269
result:
ok single line: '964884269'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3472kb
input:
11 13
output:
729153057
result:
ok single line: '729153057'
Test #9:
score: 0
Accepted
time: 8ms
memory: 4532kb
input:
200000 200000
output:
803771125
result:
ok single line: '803771125'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3452kb
input:
199999 562
output:
865836540
result:
ok single line: '865836540'
Test #11:
score: 0
Accepted
time: 8ms
memory: 4712kb
input:
3539 189423
output:
530738158
result:
ok single line: '530738158'
Test #12:
score: 0
Accepted
time: 12ms
memory: 4464kb
input:
198324 173852
output:
963717515
result:
ok single line: '963717515'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3732kb
input:
1 1
output:
3
result:
ok single line: '3'
Test #14:
score: 0
Accepted
time: 54ms
memory: 8344kb
input:
1000000 1000000
output:
800590912
result:
ok single line: '800590912'
Test #15:
score: 0
Accepted
time: 34ms
memory: 8316kb
input:
5034 999999
output:
946555033
result:
ok single line: '946555033'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
999998 2042
output:
713878368
result:
ok single line: '713878368'