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답안 #344513

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
344513 2021-01-06T03:55:29 Z blue 이상한 기계 (APIO19_strange_device) C++11
35 / 100
 1876 ms 17280 KB 
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
 
/*
Observations:
 
(1, b) = b
 
(b+1, b) = b
 
If a is even,      (a, 1) = a/2
Else if a is odd,  (a, 1) = a
 
b divides (a, b)
 
If b+1 divides a
 
 
If a and b+1 are coprime (a, b) = a*b
 
a*b / gcd(a, b+1) = ;
 
lcm(a, b+1) - a
*/
 
long long long_gcd(long long a, long long b)
{
    // cout << "gcd " << a << ' ' << b << '\n';
    if(a == b) return a;
    if(a < b) swap(a, b);
    if(b == 0) return a;
    return long_gcd(a%b, b);
}
 
long long long_abs(long long x)
{
    if(x >= 0) return x;
    return -x;
}
 
long long long_sign(long long x)
{
    if(x > 0) return 1;
    return -1;
}
 
int main()
{
    int n;
    long long A, B;
    cin >> n >> A >> B;
 
 
 
    long long period = A * B / long_gcd(A, B+1);
 
    // cout << period << '\n';
 
    long long l, r;
 
    if(n == 1)
    {
        cin >> l >> r;
 
        if(r-l+1 >= period)
        {
            cout << period << '\n';
        }
        else if(l % period <= r % period)
        {
            cout << (r % period) - (l % period) + 1 << '\n';
        }
        else
        {
            cout << period - ((l % period) - (r % period)) + 1 << '\n';
        }
        return 0;
    }
 
    vector<long long> endpoints;
 
    for(int i = 1; i <= n; i++)
    {
        cin >> l >> r;
 
        if(l % period <= r % period)
        {
            endpoints.push_back(l % period + 1);
            endpoints.push_back(-(r % period) - 1 - 1);
        }
        else
        {
            endpoints.push_back(l % period + 1);
            endpoints.push_back(-period - 1);
 
            endpoints.push_back(0 + 1);
            endpoints.push_back(-(r % period) - 1 - 1);
        }
    }
 
 
        // for(long long e: endpoints) cout << e << ' ';
        // cout << '\n';
 
 
    sort(endpoints.begin(), endpoints.end(), [] (long long p, long long q)
    {
        return long_abs(p) < long_abs(q);
    });
 
    // for(long long e: endpoints) cout << e << ' ';
    // cout << '\n';
 
 
    long long res = 0;
 
    long long count = 0;
    count += long_sign(endpoints[0]);
    for(int i = 1; i < endpoints.size(); i++)
    {
        // cout << count << ' ' << long_abs(endpoints[i]) - long_abs(endpoints[i-1]) << '\n';
        if(count > 0) res += long_abs(endpoints[i]) - long_abs(endpoints[i-1]);
        count += long_sign(endpoints[i]);
    }
 
    cout << res << '\n';
}

Compilation message

strange_device.cpp: In function 'int main()':
strange_device.cpp:121:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  121 |     for(int i = 1; i < endpoints.size(); i++)
      |                    ~~^~~~~~~~~~~~~~~~~~

Subtask #1
0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 16 ms 748 KB Output is correct
3 Correct 17 ms 748 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 16 ms 748 KB Output is correct
17 Correct 177 ms 2656 KB Output is correct
18 Incorrect 1 ms 364 KB Output isn't correct

Subtask #2
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Incorrect 0 ms 364 KB Output isn't correct

Subtask #3
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 1092 ms 17280 KB Output is correct

Subtask #4
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1690 ms 17128 KB Output is correct
3 Correct 1727 ms 16840 KB Output is correct
4 Correct 1672 ms 16980 KB Output is correct

Subtask #5
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1690 ms 17128 KB Output is correct
3 Correct 1727 ms 16840 KB Output is correct
4 Correct 1672 ms 16980 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1664 ms 16880 KB Output is correct
7 Correct 1635 ms 17068 KB Output is correct
8 Correct 1667 ms 16880 KB Output is correct
9 Correct 1809 ms 16984 KB Output is correct

Subtask #6
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1690 ms 17128 KB Output is correct
3 Correct 1727 ms 16840 KB Output is correct
4 Correct 1672 ms 16980 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 164 ms 2532 KB Output is correct
7 Correct 168 ms 2560 KB Output is correct
8 Correct 158 ms 2528 KB Output is correct
9 Correct 162 ms 2528 KB Output is correct
10 Correct 156 ms 2680 KB Output is correct
11 Correct 169 ms 2528 KB Output is correct
12 Correct 159 ms 2656 KB Output is correct
13 Correct 175 ms 2528 KB Output is correct
14 Correct 156 ms 2584 KB Output is correct
15 Correct 183 ms 2528 KB Output is correct
16 Correct 178 ms 2528 KB Output is correct
17 Correct 159 ms 2528 KB Output is correct
18 Correct 1672 ms 17232 KB Output is correct
19 Correct 1627 ms 16884 KB Output is correct
20 Correct 1837 ms 17132 KB Output is correct
21 Correct 180 ms 2528 KB Output is correct
22 Correct 155 ms 2528 KB Output is correct
23 Correct 494 ms 8660 KB Output is correct

Subtask #7
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 178 ms 2528 KB Output is correct
3 Correct 175 ms 2528 KB Output is correct
4 Correct 1876 ms 16868 KB Output is correct
5 Correct 186 ms 2528 KB Output is correct
6 Correct 178 ms 2528 KB Output is correct
7 Correct 172 ms 2528 KB Output is correct
8 Correct 175 ms 2528 KB Output is correct
9 Correct 168 ms 2528 KB Output is correct
10 Correct 180 ms 2528 KB Output is correct
11 Correct 185 ms 2528 KB Output is correct
12 Correct 159 ms 2492 KB Output is correct
13 Correct 180 ms 2528 KB Output is correct
14 Correct 1825 ms 16840 KB Output is correct
15 Correct 177 ms 2528 KB Output is correct
16 Correct 1614 ms 16840 KB Output is correct
17 Correct 1649 ms 16864 KB Output is correct
18 Incorrect 1 ms 492 KB Output isn't correct

Subtask #8
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 16 ms 748 KB Output is correct
3 Correct 17 ms 748 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 0 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 16 ms 748 KB Output is correct
17 Correct 177 ms 2656 KB Output is correct
18 Incorrect 1 ms 364 KB Output isn't correct