# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
130530 | | ffresh | 팔찌 (kriii4_V) | C++17 | | 1085 ms | 71928 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <iostream>
#include <vector>
#include <map>
#include <algorithm>
#include <assert.h>
#include <queue>
#include <string.h>
#include <string>
#include <set>
#include <memory.h>
#include <functional>
#include <bitset>
using namespace std;
#define ll long long
const int mod = 1e9 + 7;
const int N = 1e6 + 2;
vector<int> divisor[N];
int pp[N];
int dp[N], v[N], bit[N];
int getSz(int y) {
int ret = y;
int vv,d = pp[y];
for (int i = 0; i<divisor[d].size(); ++i) {
vv = divisor[d][i];
if (bit[vv]==0) {
vv *= -1;
}
ret -= y / vv;
}
return ret;
}
int add(int x, int y) {
int ret = (x + y) % mod;
if (ret<0) {
ret += mod;
}
return ret;
}
int mul(int x, int y) {
return (ll)x*y%mod;
}
int ret[N];
bool isNotPrime[N];
int inv[N * 2];
void solve() {
int n, k;
scanf("%d %d", &n, &k);
int i, j;
int maxi = 0;
for (int i = 1; i <= n; ++i) {
pp[i] = 1;
}
for (i = 2; i <= n; ++i) {
bool isPrime = !isNotPrime[i];
for (j = i; j <= n; j += i) {
if (isPrime) {
bit[j] ^= 1;
pp[j] *= i;
}
isNotPrime[j] = true;
}
}
for (i = 2; i <= n; ++i) {
if (pp[i] == i) {
for (j = i; j <= n; j += i) {
if (pp[j] == j) {
divisor[j].push_back(i);
}
}
}
}
int y, g, x;
v[0] = 1;
inv[0] = inv[1] = 1;
int lx = n * 2;
for (i = 2; i <= lx; ++i) {
inv[i] = mul(inv[mod%i], (mod - mod / i));
}
for (i = 1; i <= n; ++i) {
v[i] = mul(v[i - 1], k);
}
for (i = 1; i <= n; ++i) {
y = 1;
for (j = i; j <= n; j += i,++y) {
if (dp[y] == 0) {
dp[y] = getSz(y);
}
ret[j] = add(ret[j], mul(dp[y], v[i]));
}
}
int R=1;
for (x = 1; x <= n; ++x) {
if (x & 1) {
ret[x] = add(ret[x], mul(x, v[(x + 1) / 2]));
}
else {
ret[x] = add(ret[x], mul(x / 2, add(v[x / 2], v[x / 2 + 1])));
}
ret[x] = mul(ret[x], inv[x*2]);
R = add(R, ret[x]);
}
printf("%d\n", R);
}
int main() {
solve();
}
Compilation message (stderr)
V.cpp: In function 'int getSz(int)':
V.cpp:27:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i<divisor[d].size(); ++i) {
~^~~~~~~~~~~~~~~~~~
V.cpp: In function 'void solve()':
V.cpp:57:6: warning: unused variable 'maxi' [-Wunused-variable]
int maxi = 0;
^~~~
V.cpp:82:9: warning: unused variable 'g' [-Wunused-variable]
int y, g, x;
^
V.cpp:54:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d", &n, &k);
~~~~~^~~~~~~~~~~~~~~~~
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