Submission #16713

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
16713	2015-09-08T09:06:10 Z	gs14004	Xtreme gcd sum (kriii2_X)	C++14	1 / 4	4000 ms	40900 KB

X

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <numeric>
#include <deque>
#include <utility>
#include <bitset>
#include <iostream>
using namespace std;
typedef long long lint;
typedef long double llf;
typedef pair<int, int> pi;
const int mod = 1e9 + 7;

int che[1000005];
int moebius[1000005];
int n, a[10005], b[10005], rng[10005];
lint cnt[1000005];

lint mod_inv(int x, int p){
	lint ret = 1, piv = x;
	while(p){
		if(p&1) ret *= piv;
		piv *= piv;
		ret %= mod;
		piv %= mod;
		p >>= 1;
	}
	return ret;
}

const int maxp = 1e6;

void get_moebius(){
	for(int i=2; i<=maxp; i++){
		for(int j=i; j<=maxp; j+=i){
			if(!che[j]) che[j] = i;
		}
	}
	for(int i=1; i<=maxp; i++){
		int cnt = 0, lst = -1;
		int x = i;
		while(x > 1){
			if(lst == che[x]){
				cnt = -1;
				break;
			}
			lst = che[x];
			x /= lst;
			cnt++;
		}
		if(cnt < 0) continue;
		moebius[i] = cnt % 2 ? -1 : 1;
	}
}

vector<int> change[1000005];

int main(){
	scanf("%d",&n);
	fill(cnt, cnt + maxp + 1, 1);
	for(int i=0; i<n; i++){
		scanf("%d %d",&a[i], &b[i]);
		int pos = 1, cur = -1;
		int nxt_update = 1;
		while(pos <= maxp){
			if(nxt_update == pos){
				cur = b[i] / pos - (a[i] - 1) / pos;
				nxt_update = 1e9;
				int T = b[i] / pos - 1;
				if(T >= 0){
					int s = (b[i] + T + 1) / (T + 1);
					if(s > pos) nxt_update = min(nxt_update, s);
				}
				T = (a[i] - 1) / pos - 1;
				if(T >= 0){
					int s = (a[i] + T) / (T + 1);
					if(s > pos) nxt_update = min(nxt_update, s);
				}
			}
			cnt[pos] *= cur;
			cnt[pos] %= mod;
			pos++;
		}
	}
	get_moebius();
	lint ret = 0;
	for(int i=1; i<=maxp; i++){
		for(int j=1; i*j<=maxp; j++){
			ret += 1ll * i * moebius[j] * cnt[i * j] % mod;
			ret %= mod;
		}
	}
	ret += mod;
	ret %= mod;
	printf("%lld",ret);
}

Subtask #1

1.0 / 1.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	207 ms	40900 KB	Output is correct
2	Correct	202 ms	40900 KB	Output is correct
3	Correct	203 ms	40900 KB	Output is correct
4	Correct	210 ms	40900 KB	Output is correct
5	Correct	206 ms	40900 KB	Output is correct
6	Correct	205 ms	40900 KB	Output is correct
7	Correct	209 ms	40900 KB	Output is correct
8	Correct	212 ms	40900 KB	Output is correct
9	Correct	211 ms	40900 KB	Output is correct
10	Correct	212 ms	40900 KB	Output is correct
11	Correct	230 ms	40900 KB	Output is correct
12	Correct	239 ms	40900 KB	Output is correct
13	Correct	232 ms	40900 KB	Output is correct
14	Correct	236 ms	40900 KB	Output is correct
15	Correct	234 ms	40900 KB	Output is correct
16	Correct	231 ms	40900 KB	Output is correct
17	Correct	230 ms	40900 KB	Output is correct
18	Correct	241 ms	40900 KB	Output is correct
19	Correct	230 ms	40900 KB	Output is correct
20	Correct	232 ms	40900 KB	Output is correct
21	Correct	246 ms	40900 KB	Output is correct
22	Correct	238 ms	40900 KB	Output is correct
23	Correct	235 ms	40900 KB	Output is correct
24	Correct	226 ms	40900 KB	Output is correct
25	Correct	228 ms	40900 KB	Output is correct

Subtask #2

0.0 / 3.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	534 ms	40900 KB	Output is correct
2	Correct	537 ms	40900 KB	Output is correct
3	Correct	525 ms	40900 KB	Output is correct
4	Correct	537 ms	40900 KB	Output is correct
5	Correct	534 ms	40900 KB	Output is correct
6	Correct	528 ms	40900 KB	Output is correct
7	Correct	535 ms	40900 KB	Output is correct
8	Correct	527 ms	40900 KB	Output is correct
9	Correct	528 ms	40900 KB	Output is correct
10	Correct	535 ms	40900 KB	Output is correct
11	Correct	3582 ms	40900 KB	Output is correct
12	Correct	3589 ms	40900 KB	Output is correct
13	Correct	3588 ms	40900 KB	Output is correct
14	Correct	3590 ms	40900 KB	Output is correct
15	Correct	3589 ms	40900 KB	Output is correct
16	Correct	434 ms	40900 KB	Output is correct
17	Correct	543 ms	40900 KB	Output is correct
18	Execution timed out	4000 ms	40896 KB	Program timed out
19	Halted	0 ms	0 KB	-