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Submission #344182

# Submission time Handle Problem Language Result Execution time Memory
344182 2021-01-05T08:38:53 Z blue Strange Device (APIO19_strange_device) C++11
65 / 100
 1832 ms 17212 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(l % period <= r % period)
        {
            cout << (r % period) - (l % period) + 1 << '\n';
        }
        else
        {
            cout << period - ((r % period) - (l % period) + 1) + 2 << '\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:118:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  118 |     for(int i = 1; i < endpoints.size(); i++)
      |                    ~~^~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 0 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 1 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 18 ms 748 KB Output is correct
17 Correct 176 ms 2528 KB Output is correct
18 Correct 1 ms 364 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Incorrect 0 ms 364 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory 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 1099 ms 17212 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1629 ms 16924 KB Output is correct
3 Correct 1690 ms 16836 KB Output is correct
4 Correct 1625 ms 16976 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1629 ms 16924 KB Output is correct
3 Correct 1690 ms 16836 KB Output is correct
4 Correct 1625 ms 16976 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1660 ms 16924 KB Output is correct
7 Correct 1645 ms 16840 KB Output is correct
8 Correct 1650 ms 16840 KB Output is correct
9 Correct 1778 ms 17020 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1629 ms 16924 KB Output is correct
3 Correct 1690 ms 16836 KB Output is correct
4 Correct 1625 ms 16976 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 161 ms 2528 KB Output is correct
7 Correct 163 ms 2528 KB Output is correct
8 Correct 156 ms 2528 KB Output is correct
9 Correct 162 ms 2656 KB Output is correct
10 Correct 162 ms 2560 KB Output is correct
11 Correct 162 ms 2528 KB Output is correct
12 Correct 159 ms 2528 KB Output is correct
13 Correct 172 ms 2532 KB Output is correct
14 Correct 157 ms 2528 KB Output is correct
15 Correct 176 ms 2488 KB Output is correct
16 Correct 171 ms 2528 KB Output is correct
17 Correct 159 ms 2528 KB Output is correct
18 Correct 1655 ms 16840 KB Output is correct
19 Correct 1630 ms 17000 KB Output is correct
20 Correct 1809 ms 16824 KB Output is correct
21 Correct 177 ms 2528 KB Output is correct
22 Correct 152 ms 2528 KB Output is correct
23 Correct 500 ms 8596 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 170 ms 2528 KB Output is correct
3 Correct 173 ms 2528 KB Output is correct
4 Correct 1832 ms 16964 KB Output is correct
5 Correct 171 ms 2528 KB Output is correct
6 Correct 170 ms 2528 KB Output is correct
7 Correct 176 ms 2528 KB Output is correct
8 Correct 180 ms 2592 KB Output is correct
9 Correct 175 ms 2452 KB Output is correct
10 Correct 178 ms 2528 KB Output is correct
11 Correct 172 ms 2656 KB Output is correct
12 Correct 160 ms 2564 KB Output is correct
13 Correct 177 ms 2528 KB Output is correct
14 Correct 1800 ms 17028 KB Output is correct
15 Correct 177 ms 2476 KB Output is correct
16 Correct 1620 ms 17104 KB Output is correct
17 Correct 1635 ms 16932 KB Output is correct
18 Correct 1 ms 364 KB Output is correct

Subtask #8
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 0 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 1 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 18 ms 748 KB Output is correct
17 Correct 176 ms 2528 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Incorrect 0 ms 364 KB Output isn't correct
21 Halted 0 ms 0 KB -