Submission #93172

# Submission time Handle Problem Language Result Execution time Memory
93172 2019-01-06T16:40:21 Z SamAnd Chessboard (IZhO18_chessboard) C++
70 / 100
2000 ms 1924 KB
#include <iostream>
#include <cstdio>
using namespace std;
#define m_p make_pair
const int N = 100005;
struct ban
{
    int x, y;
    ban(){}
    ban(int x, int y)
    {
        this->x = x;
        this->y = y;
    }
};

int n;

int m;
pair<ban, ban> a[N];

bool vv;
bool sevv(int x, int y, int t)
{
    x = x / t;
    y = y / t;
    if ((x + y) % 2 == 0)
    {
        if (vv)
            return true;
        else
            return false;
    }
    else
    {
        if (vv)
            return false;
        else
            return true;
    }
}

long long sev(const pair<ban, ban>& a, int t)
{
    int x1 = a.first.x;
    int y1 = a.first.y;
    int x2 = a.second.x;
    int y2 = a.second.y;

    int xm1 = (x1 / t + 1) * t;
    if (x1 % t == 0)
        xm1 = x1;
    int xm2 = (x2 / t) * t - 1;
    if (x2 % t == t - 1)
        xm2 = x2;
    int ym1 = (y1 / t + 1) * t;
    if (y1 % t == 0)
        ym1 = y1;
    int ym2 = (y2 / t) * t - 1;
    if (y2 % t == t - 1)
        ym2 = y2;

    long long ans = 0;

    // y1; ym1 - 1
    // x1; xm1 - 1
    long long xx = 0;
    if (sevv(x1, y1, t))
        xx += (xm1 - x1);
    // xm1; xm2
    if (!sevv(xm1, y1, t))
        xx += ((((xm2 - xm1 + 1) / t) / 2) * t);
    else
        xx += ((((xm2 - xm1 + 1) / t) - (((xm2 - xm1 + 1) / t) / 2)) * t);
    // xm2 + 1; x2
    if (sevv(xm2 + 1, y1, t))
        xx += (x2 - xm2);
    if (xm1 - xm2 == t + 1)
    {
        xx = 0;
        if (sevv(x1, y1, t))
            xx = (x2 - x1 + 1);
    }
    ans += ((ym1 - y1) * xx);

    // ym1; ym2
    // x1; xm1 - 1
    xx = 0;
    if (sevv(x1, ym1, t))
        xx += (xm1 - x1);
    // xm1; xm2
    if (!sevv(xm1, ym1, t))
        xx += ((((xm2 - xm1 + 1) / t) / 2) * t);
    else
        xx += ((((xm2 - xm1 + 1) / t) - (((xm2 - xm1 + 1) / t) / 2)) * t);
    // xm2 + 1; x2
    if (sevv(xm2 + 1, ym1, t))
        xx += (x2 - xm2);
    if (xm1 - xm2 == t + 1)
    {
        xx = 0;
        if (sevv(x1, ym1, t))
            xx = (x2 - x1 + 1);
    }
    ans += ((((ym2 - ym1 + 1) / t) / 2) * ((x2 - x1 + 1) - xx) * t);
    ans += ((((ym2 - ym1 + 1) / t) - (((ym2 - ym1 + 1) / t) / 2)) * xx * t);

    // ym2 + 1; y2
    // x1; xm1 - 1
    xx = 0;
    if (sevv(x1, ym2 + 1, t))
        xx += (xm1 - x1);
    // xm1; xm2
    if (!sevv(xm1, ym2 + 1, t))
        xx += ((((xm2 - xm1 + 1) / t) / 2) * t);
    else
        xx += ((((xm2 - xm1 + 1) / t) - (((xm2 - xm1 + 1) / t) / 2)) * t);
    // xm2 + 1; x2
    if (sevv(xm2 + 1, ym2 + 1, t))
        xx += (x2 - xm2);
    if (xm1 - xm2 == t + 1)
    {
        xx = 0;
        if (sevv(x1, ym2 + 1, t))
            xx = (x2 - x1 + 1);
    }
    ans += ((y2 - ym2) * xx);

    if (ym1 - ym2 == t + 1)
    {
        ans = 0;
        xx = 0;
        if (sevv(x1, y1, t))
            xx += (xm1 - x1);
        // xm1; xm2
        if (!sevv(xm1, y1, t))
            xx += ((((xm2 - xm1 + 1) / t) / 2) * t);
        else
            xx += ((((xm2 - xm1 + 1) / t) - (((xm2 - xm1 + 1) / t) / 2)) * t);
        // xm2 + 1; x2
        if (sevv(xm2 + 1, y1, t))
            xx += (x2 - xm2);
        if (xm1 - xm2 == t + 1)
        {
            xx = 0;
            if (sevv(x1, y1, t))
                xx = (x2 - x1 + 1);
        }
        ans += (xx * (y2 - y1 + 1));
    }

    return ans;
}

long long spi(const pair<ban, ban>& a, int t)
{
    int x1 = a.first.x;
    int y1 = a.first.y;
    int x2 = a.second.x;
    int y2 = a.second.y;
    return 1LL * (x2 - x1 + 1) * (y2 - y1 + 1) - sev(a, t);
}

long long ans;
void stg(int t)
{
    vv = true;
    long long yans = 0;
    long long g = 0;
    for (int i = 0; i < m; ++i)
    {
        long long spii = spi(a[i], t);
        yans += (spii);
        g += (1LL * (a[i].second.x - a[i].first.x + 1) * (a[i].second.y - a[i].first.y + 1) - spii);
    }
    yans += (sev(m_p(ban(0, 0), ban(n - 1, n - 1)), t) - g);
    ans = min(ans, yans);
    vv = false;
    yans = 0;
    g = 0;
    for (int i = 0; i < m; ++i)
    {
        long long spii = spi(a[i], t);
        yans += (spii);
        g += (1LL * (a[i].second.x - a[i].first.x + 1) * (a[i].second.y - a[i].first.y + 1) - spii);
    }
    yans += (sev(m_p(ban(0, 0), ban(n - 1, n - 1)), t) - g);
    ans = min(ans, yans);
}

int b[8][8];
int main()
{
    /*vv = true;
    for (int i = 0; i < 6; ++i)
    {
        for (int j = 0; j < 6; ++j)
        {
            if (sevv(i, j, 1))
                b[i][j] = 1;
        }
    }
    for (int x1 = 0; x1 < 6; ++x1)
    {
        for (int x2 = x1; x2 < 6; ++x2)
        {
            for (int y1 = 0; y1 < 6; ++y1)
            {
                for (int y2 = y1; y2 < 6; ++y2)
                {
                    cout << x1 << ' ' << x2 << ' ' << y1 << ' ' << y2 << endl;
                    if (x1 == 4 && x2 == 4 && y1 == 0 && y2 == 4)
                        cout << "";
                    int ans1 = sev(m_p(ban(x1, y1), ban(x2, y2)), 1);
                    int ans2 = 0;
                    for (int i = x1; i <= x2; ++i)
                    {
                        for (int j = y1; j <= y2; ++j)
                        {
                            ans2 += b[i][j];
                        }
                    }
                    if (ans1 != ans2)
                        cout << "asdfdafjklshdfkjhaskjldfhakjl" << endl;
                }
            }
        }
    }*/
    //freopen("input2.txt", "r", stdin);
    scanf("%d%d", &n, &m);
    for (int i = 0; i < m; ++i)
    {
        scanf("%d%d%d%d", &a[i].first.x, &a[i].first.y, &a[i].second.x, &a[i].second.y);
        --a[i].first.x;
        --a[i].first.y;
        --a[i].second.x;
        --a[i].second.y;
    }
    ans = 1LL * n * n;
    for (int i = 1; i * i <= n; ++i)
    {
        if (n % i == 0)
        {
            if (i != n)
                stg(i);
            if (n / i != n)
                stg(n / i);
        }
    }
    cout << ans << endl;
    return 0;
}

Compilation message

chessboard.cpp: In function 'int main()':
chessboard.cpp:230:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &n, &m);
     ~~~~~^~~~~~~~~~~~~~~~
chessboard.cpp:233:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d%d%d%d", &a[i].first.x, &a[i].first.y, &a[i].second.x, &a[i].second.y);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 1272 KB Output is correct
2 Correct 10 ms 504 KB Output is correct
3 Correct 21 ms 888 KB Output is correct
4 Correct 23 ms 1016 KB Output is correct
5 Correct 29 ms 1272 KB Output is correct
6 Correct 20 ms 888 KB Output is correct
7 Correct 6 ms 504 KB Output is correct
8 Correct 19 ms 888 KB Output is correct
9 Correct 47 ms 1784 KB Output is correct
10 Correct 27 ms 1128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 256 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 23 ms 760 KB Output is correct
17 Correct 40 ms 1628 KB Output is correct
18 Correct 78 ms 1912 KB Output is correct
19 Correct 389 ms 1744 KB Output is correct
20 Correct 438 ms 1884 KB Output is correct
21 Correct 37 ms 1532 KB Output is correct
22 Correct 3 ms 256 KB Output is correct
23 Correct 60 ms 1016 KB Output is correct
24 Correct 71 ms 1784 KB Output is correct
25 Correct 13 ms 376 KB Output is correct
26 Correct 45 ms 1272 KB Output is correct
27 Correct 74 ms 1400 KB Output is correct
28 Correct 73 ms 1784 KB Output is correct
29 Correct 16 ms 888 KB Output is correct
30 Correct 4 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 1272 KB Output is correct
2 Correct 10 ms 504 KB Output is correct
3 Correct 21 ms 888 KB Output is correct
4 Correct 23 ms 1016 KB Output is correct
5 Correct 29 ms 1272 KB Output is correct
6 Correct 20 ms 888 KB Output is correct
7 Correct 6 ms 504 KB Output is correct
8 Correct 19 ms 888 KB Output is correct
9 Correct 47 ms 1784 KB Output is correct
10 Correct 27 ms 1128 KB Output is correct
11 Correct 2 ms 256 KB Output is correct
12 Correct 2 ms 256 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 256 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 3 ms 376 KB Output is correct
19 Correct 2 ms 256 KB Output is correct
20 Correct 2 ms 256 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 3 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 23 ms 760 KB Output is correct
27 Correct 40 ms 1628 KB Output is correct
28 Correct 78 ms 1912 KB Output is correct
29 Correct 389 ms 1744 KB Output is correct
30 Correct 438 ms 1884 KB Output is correct
31 Correct 37 ms 1532 KB Output is correct
32 Correct 3 ms 256 KB Output is correct
33 Correct 60 ms 1016 KB Output is correct
34 Correct 71 ms 1784 KB Output is correct
35 Correct 13 ms 376 KB Output is correct
36 Correct 45 ms 1272 KB Output is correct
37 Correct 74 ms 1400 KB Output is correct
38 Correct 73 ms 1784 KB Output is correct
39 Correct 16 ms 888 KB Output is correct
40 Correct 4 ms 376 KB Output is correct
41 Correct 321 ms 1784 KB Output is correct
42 Correct 78 ms 1784 KB Output is correct
43 Correct 171 ms 1688 KB Output is correct
44 Correct 77 ms 1784 KB Output is correct
45 Correct 52 ms 1784 KB Output is correct
46 Correct 359 ms 1840 KB Output is correct
47 Correct 46 ms 1656 KB Output is correct
48 Correct 124 ms 1656 KB Output is correct
49 Correct 70 ms 1784 KB Output is correct
50 Correct 1771 ms 1816 KB Output is correct
51 Correct 1881 ms 1788 KB Output is correct
52 Correct 1742 ms 1784 KB Output is correct
53 Correct 1877 ms 1784 KB Output is correct
54 Correct 1728 ms 1912 KB Output is correct
55 Correct 1951 ms 1912 KB Output is correct
56 Correct 1694 ms 1656 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 33 ms 1272 KB Output is correct
10 Correct 10 ms 504 KB Output is correct
11 Correct 21 ms 888 KB Output is correct
12 Correct 23 ms 1016 KB Output is correct
13 Correct 29 ms 1272 KB Output is correct
14 Correct 20 ms 888 KB Output is correct
15 Correct 6 ms 504 KB Output is correct
16 Correct 19 ms 888 KB Output is correct
17 Correct 47 ms 1784 KB Output is correct
18 Correct 27 ms 1128 KB Output is correct
19 Correct 2 ms 256 KB Output is correct
20 Correct 2 ms 256 KB Output is correct
21 Correct 2 ms 256 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 256 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 3 ms 376 KB Output is correct
27 Correct 2 ms 256 KB Output is correct
28 Correct 2 ms 256 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 3 ms 376 KB Output is correct
32 Correct 3 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 23 ms 760 KB Output is correct
35 Correct 40 ms 1628 KB Output is correct
36 Correct 78 ms 1912 KB Output is correct
37 Correct 389 ms 1744 KB Output is correct
38 Correct 438 ms 1884 KB Output is correct
39 Correct 37 ms 1532 KB Output is correct
40 Correct 3 ms 256 KB Output is correct
41 Correct 60 ms 1016 KB Output is correct
42 Correct 71 ms 1784 KB Output is correct
43 Correct 13 ms 376 KB Output is correct
44 Correct 45 ms 1272 KB Output is correct
45 Correct 74 ms 1400 KB Output is correct
46 Correct 73 ms 1784 KB Output is correct
47 Correct 16 ms 888 KB Output is correct
48 Correct 4 ms 376 KB Output is correct
49 Correct 321 ms 1784 KB Output is correct
50 Correct 78 ms 1784 KB Output is correct
51 Correct 171 ms 1688 KB Output is correct
52 Correct 77 ms 1784 KB Output is correct
53 Correct 52 ms 1784 KB Output is correct
54 Correct 359 ms 1840 KB Output is correct
55 Correct 46 ms 1656 KB Output is correct
56 Correct 124 ms 1656 KB Output is correct
57 Correct 70 ms 1784 KB Output is correct
58 Correct 1771 ms 1816 KB Output is correct
59 Correct 1881 ms 1788 KB Output is correct
60 Correct 1742 ms 1784 KB Output is correct
61 Correct 1877 ms 1784 KB Output is correct
62 Correct 1728 ms 1912 KB Output is correct
63 Correct 1951 ms 1912 KB Output is correct
64 Correct 1694 ms 1656 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Correct 1905 ms 1912 KB Output is correct
68 Correct 1905 ms 1784 KB Output is correct
69 Correct 1619 ms 1656 KB Output is correct
70 Correct 1777 ms 1884 KB Output is correct
71 Correct 1759 ms 1656 KB Output is correct
72 Correct 1726 ms 1784 KB Output is correct
73 Correct 1711 ms 1724 KB Output is correct
74 Correct 1859 ms 1784 KB Output is correct
75 Correct 1746 ms 1656 KB Output is correct
76 Correct 1869 ms 1856 KB Output is correct
77 Correct 267 ms 1784 KB Output is correct
78 Correct 79 ms 1784 KB Output is correct
79 Correct 185 ms 1784 KB Output is correct
80 Correct 189 ms 1784 KB Output is correct
81 Correct 179 ms 1656 KB Output is correct
82 Correct 145 ms 1756 KB Output is correct
83 Correct 110 ms 1752 KB Output is correct
84 Correct 1102 ms 1784 KB Output is correct
85 Execution timed out 2005 ms 1924 KB Time limit exceeded
86 Halted 0 ms 0 KB -