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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#736491 | #9619. 乘积,欧拉函数,求和 | OIer_kzc# | WA | 12ms | 4092kb | C++17 | 2.3kb | 2024-11-12 11:21:19 | 2024-11-12 11:21:20 |
Judging History
answer
#include <stdio.h>
#include <string.h>
#include <assert.h>
#include <vector>
#include <algorithm>
#define LOG(FMT...) fprintf(stderr, FMT)
#define eb emplace_back
using namespace std;
typedef long double LDB;
typedef long long LL;
constexpr int N = 32768, PC = 450, M = 3001;
constexpr int mod = 998244353;
int n, a[N], res;
int pid[M], pr[PC], cnt;
bool was[M];
int f[N], g[N];
char pc[N];
constexpr int neg(int x) {
return x ? mod - x : x;
}
constexpr int inv(int x, int k = mod - 2) {
int r = 1;
while (k) {
if (k & 1) {
r = x * (LL)r % mod;
}
x = x * (LL)x % mod;
k >>= 1;
}
return r;
}
void Add(int &x, int y) {
if ((x += y) >= mod) {
x -= mod;
}
}
void Fav(int &x, int y, int z) {
x = (x + y * (LL)z) % mod;
}
void sieve() {
for (int x = 2; x < M; ++x) {
if (!was[x]) {
pid[x] = cnt;
pr[cnt++] = x;
}
for (int k = 0; x * pr[k] < M; ++k) {
was[x * pr[k]] = true;
if (!(x % pr[k])) {
break;
}
}
}
}
struct Pair {
int s, x;
Pair() {}
Pair(int _s, int _x) : s(_s), x(_x) {}
};
vector<Pair> ve[PC], emp;
void decomp(int x, int &s, int &k) {
for (int d = 2; d <= x; ++d) {
if (x % d) {
continue;
}
while (!(x % d)) {
x /= d;
}
int t = pid[d];
if (t > 14) {
assert(k == -1);
k = t;
} else {
s |= 1 << t;
}
}
}
int main() {
sieve();
scanf("%d", &n);
for (int i = 0, x; i < n; ++i) {
scanf("%d", &x);
int s = 0, k = -1;
decomp(x, s, k);
if (~k) {
ve[k].eb(s, x);
} else {
emp.eb(s, x);
}
}
f[0] = 1;
for (auto [t, x] : emp) {
for (int s = M - 1; ~s; --s) {
Fav(f[s | t], f[s], x);
}
}
for (int k = 15; k < cnt; ++k) {
for (auto [t, x] : ve[k]) {
for (int s = M - 1; ~s; --s) {
Fav(g[s | t], g[s], x);
}
x -= x / pr[k];
for (int s = 0; s < M; ++s) {
Fav(g[s | t], f[s], x);
}
}
for (int s = 0; s < M; ++s) {
Add(f[s], g[s]);
}
memset(g, 0, M << 2);
}
for (int s = 0; s < M; ++s) {
pc[s] = pc[s >> 1] ^ (s & 1);
int v = f[s];
if (!v) {
continue;
}
for (int i = 0; i < 15; ++i) {
if (s >> i & 1) {
v = v * (LL)(mod + 1ll - inv(pr[i])) % mod;
}
}
Add(res, v);
}
printf("%d\n", res);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3964kb
input:
5 1 6 8 6 2
output:
892
result:
ok single line: '892'
Test #2:
score: 0
Accepted
time: 1ms
memory: 4008kb
input:
5 3 8 3 7 8
output:
3157
result:
ok single line: '3157'
Test #3:
score: -100
Wrong Answer
time: 12ms
memory: 4092kb
input:
2000 79 1 1 1 1 1 1 2803 1 1 1 1 1 1 1609 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2137 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 613 1 499 1 211 1 2927 1 1 1327 1 1 1123 1 907 1 2543 1 1 1 311 2683 1 1 1 1 2963 1 1 1 641 761 1 1 1 1 1 1 1 1 1 1 1 1489 2857 1 1 1 1 1 1 1 1 1 1 1 1 1 967 1 821 1 1 1 1 2143 1861...
output:
56649673
result:
wrong answer 1st lines differ - expected: '50965652', found: '56649673'