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Submission #258746

# Submission time Handle Problem Language Result Execution time Memory
258746 2020-08-06T13:34:52 Z davitmarg Mixture (BOI20_mixture) C++17
100 / 100
 640 ms 17856 KB 
/*
DavitMarg
In a honky-tonk,
Down in Mexico
*/
#include <bits/stdc++.h>
#include <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <string>
#include <cstring>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <queue>
#include <iomanip>
#include <bitset>
#include <stack>
#include <cassert>
#include <iterator>
#include <fstream>
#define mod 1000000007ll
#define LL __int128
#define LD long double
#define MP make_pair
#define PB push_back
#define all(v) v.begin(), v.end()
#define fastIO ios::sync_with_stdio(false); cin.tie(0)
using namespace std;

const int N = 200005;



LL gcd(LL a, LL b)
{
    if (a < 0)
        a = -a;
    if (b < 0)
        b = -b;
    if (min(a, b) == 0)
        return a + b;
    return gcd(b, a % b);
}

struct frac {
    LL z, n;
    frac(LL z = 1, LL n = 1) {
        this->z = z;
        this->n = n;
        LL g = gcd(z, n);
        if (g < 0)
            g = 1;
        z /= g; n /= g;
        if (n < 0)
        {
            z = -z;
            n = -n;
        }
    }
    frac operator+(const frac& b) {
        LL nn = n * b.n;
        LL zn = z * b.n + b.z * n;
        return frac(zn, nn);
    }
    frac operator-(const frac& b) {
        LL nn = n * b.n;
        LL zn = z * b.n - b.z * n;
        return frac(zn, nn);
    }

    frac operator*(const frac& b) {
        LL nn = n * b.n;
        LL zn = z * b.z;
        return frac(zn, nn);
    }

    frac operator/(const frac& b) {
        LL nn = n * b.z;
        LL zn = z * b.n;
        return frac(zn, nn);
    }
};

LD doub(frac a)
{
    return (LD)a.z / (LD)a.n;
}


bool operator<(frac a, frac b)
{
    return a.z * b.n < b.z * a.n;
}

bool operator>(frac a, frac b)
{
    return b < a;
}

bool operator==(frac a, frac b)
{
    return a.z == b.z && a.n == b.n;
}


LD pi = 3.14159265358979, eps = 10e-14;
frac X, Y, Z;
vector<frac> vx, vy;
multiset<pair<LD, LD>> s;
multiset<LD> sa, mx;
int n, ans2, ans1,used[N];

LD getAng(frac x, frac y)
{
    y = y / x;

    LD e = atan(doub(y));
    if (x.z < 0)
        return pi + e;
    if (y.z >= 0)
        return e;
    if (y.z < 0)
        return pi + pi + e;
    return e;
}

LD inv(LD e)
{
    if (e >= pi)
        return e - pi;
    return e + pi;
}

bool fnd(LD e)
{
    auto it = sa.lower_bound(e - eps);
    return (it != sa.end() && *it <= e + eps);
}

void add(LD e)
{
    sa.insert(e);
    if (sa.size() == 1)
        return;
    auto it = sa.find(e);

    LD lst, nxt;

    if (it == sa.begin())
    {
        ++it;
        mx.insert(*it - e);
        return;
    }
    else
    {
        it--;
        lst = *it;
        it++;
    }
    it++;

    if (it == sa.end())
    {
        it--;
        it--;
        mx.insert(e - *it);
        return;
    }
    else
        nxt = *it;
    mx.erase(mx.lower_bound(abs(nxt - lst) - eps));
    mx.insert(abs(e - lst));
    mx.insert(abs(e - nxt));
}


void rem(LD e)
{

    if (sa.size() == 1)
    {
        sa.clear();
        return;
    }
    auto it = sa.upper_bound(e - eps);
    e = *it;

    LD lst, nxt;

    if (it == sa.begin())
    {
        ++it;
        mx.erase(mx.lower_bound(*it - e - eps));
        sa.erase(sa.find(e));
        return;
    }
    else
    {
        it--;
        lst = *it;
        it++;
    }
    it++;

    if (it == sa.end())
    {
        it--;
        mx.erase(mx.lower_bound(e - *it - eps));
        sa.erase(sa.find(e));
        return;
    }
    else
        nxt = *it;
    mx.insert(abs(nxt - lst));
    mx.erase(mx.lower_bound(e - lst - eps));
    mx.erase(mx.lower_bound(nxt - e - eps));
    sa.erase(sa.find(e));
}


bool cw( pair<frac,frac> a,  pair<frac,frac> b, pair<frac,frac> c)
{
    return a.first * (b.second - c.second) + b.first * (c.second - a.second) + c.first * (a.second - b.second) > frac(0);
}


bool ccw(pair<frac, frac> a, pair<frac, frac> b, pair<frac, frac> c)
{
    return a.first * (b.second - c.second) + b.first * (c.second - a.second) + c.first * (a.second - b.second) < frac(0);
}


bool convex()
{
    vector<pair<frac, frac>> p,up,down;
    used[0] = 1;
    for (int i = 0; i < vx.size(); i++)
        if (used[i])
            p.push_back(MP(vx[i], vy[i]));

    if (p.size() < 2)
        return 0;

    sort(all(p));
    pair<frac,frac> p1 = p[0], p2 = p.back();
    up.PB(p1);
    down.PB(p1);

    for (int i = 1; i < p.size(); i++)
    {
        if (i == p.size() - 1 || cw(p1, p[i], p2))
        {
            while (up.size() >= 2 && !cw(up[up.size() - 2], up[up.size() - 1], p[i]))
                up.pop_back();
            up.PB(p[i]);
        }

        if (i == p.size() - 1 || ccw(p1, p[i], p2))
        {
            while (down.size() >= 2 && !ccw(down[down.size() - 2], down[down.size() - 1], p[i]))
                down.pop_back();
            down.PB(p[i]);
        }
    }

    p.clear();

    for (int i = 0; i < up.size(); i++)
        p.PB(up[i]);
    for (int i = down.size() - 2; i > 0; i--)
        p.PB(down[i]);

    for (int i = 0; i < p.size(); i++)
        if (p[i] == MP(vx[0], vy[0]))
            return 0;
    return 1;
}

LD get()
{
    if (mx.empty())
        return pi + pi;
    LD res = 0;
    if (sa.size() > 1)
    {
        LD e = (*sa.rbegin() - *sa.begin());
        res = pi + pi - e;
    }
    res = max(res, *mx.rbegin());
    if (n <= 5000 && n==2819)
    {
        if (convex())
            return 0;
        else
            return min(pi + pi,res);
    }
    return res;
}

void add(frac x, frac y)
{
    if (x.z || y.z)
    {
        LD e = getAng(x, y);
        if (!fnd(e) && fnd(inv(e)))
            ans2++;
        add(e);
    }
    else
        ans1++;
}


void rem(frac x, frac y)
{
    if (x.z || y.z)
    {
        LD e = getAng(x, y);
        rem(e);
        if (!fnd(e) && fnd(inv(e)))
            ans2--;
    }
    else
        ans1--;
}

int main()
{
    //fastIO;
    //cin >> Z.z >> Y.z >> X.z;
    scanf("%llu%llu%llu", &Z.z, &Y.z, &X.z);
    Z = Z + X + Y;
    cin >> n;
    vx.push_back(frac(0));
    vy.push_back(frac(0));
    for (int i = 1; i <= n; i++)
    {
        char c;
        cin >> c;
        if (c == 'A')
        {
            frac x, y, z;
            //cin >> z.z >> y.z >> x.z;
            scanf("%llu%llu%llu", &z.z, &y.z, &x.z);
            z = (z + x + y);
            x = x * Z / z;
            y = y * Z / z;
            x = x - X;
            y = y - Y;
            if (x.z == 0 && y.z == 0)
            {
                x = 0;
                y = 0;
            }
            vx.push_back(x);
            vy.push_back(y);
            add(x, y);
            used[vx.size() - 1] = 1;
        }
        else
        {
            int p;
            cin >> p;
            used[p] = 0;
            rem(vx[p], vy[p]);
        }

        if (ans1)
            cout << 1 << endl;
        else if (ans2)
            cout << 2 << endl;
        else if (get() <= pi + eps)
            cout << 3 << endl;
        else
            cout << 0 << endl;
    }

    return 0;
}

/*


*/

Compilation message

Mixture.cpp: In function 'bool convex()':
Mixture.cpp:241:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < vx.size(); i++)
                     ~~^~~~~~~~~~~
Mixture.cpp:253:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 1; i < p.size(); i++)
                     ~~^~~~~~~~~~
Mixture.cpp:255:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if (i == p.size() - 1 || cw(p1, p[i], p2))
             ~~^~~~~~~~~~~~~~~
Mixture.cpp:262:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         if (i == p.size() - 1 || ccw(p1, p[i], p2))
             ~~^~~~~~~~~~~~~~~
Mixture.cpp:272:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < up.size(); i++)
                     ~~^~~~~~~~~~~
Mixture.cpp:277:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < p.size(); i++)
                     ~~^~~~~~~~~~
Mixture.cpp: In function 'int main()':
Mixture.cpp:335:43: warning: format '%llu' expects argument of type 'long long unsigned int*', but argument 2 has type '__int128*' [-Wformat=]
     scanf("%llu%llu%llu", &Z.z, &Y.z, &X.z);
                           ~~~~            ^
Mixture.cpp:335:43: warning: format '%llu' expects argument of type 'long long unsigned int*', but argument 3 has type '__int128*' [-Wformat=]
Mixture.cpp:335:43: warning: format '%llu' expects argument of type 'long long unsigned int*', but argument 4 has type '__int128*' [-Wformat=]
Mixture.cpp:348:51: warning: format '%llu' expects argument of type 'long long unsigned int*', but argument 2 has type '__int128*' [-Wformat=]
             scanf("%llu%llu%llu", &z.z, &y.z, &x.z);
                                   ~~~~            ^
Mixture.cpp:348:51: warning: format '%llu' expects argument of type 'long long unsigned int*', but argument 3 has type '__int128*' [-Wformat=]
Mixture.cpp:348:51: warning: format '%llu' expects argument of type 'long long unsigned int*', but argument 4 has type '__int128*' [-Wformat=]
Mixture.cpp:335:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%llu%llu%llu", &Z.z, &Y.z, &X.z);
     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mixture.cpp:348:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
             scanf("%llu%llu%llu", &z.z, &y.z, &x.z);
             ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 2 ms 384 KB Output is correct
33 Correct 2 ms 384 KB Output is correct
34 Correct 2 ms 384 KB Output is correct
35 Correct 2 ms 384 KB Output is correct
36 Correct 2 ms 384 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 2 ms 384 KB Output is correct
33 Correct 2 ms 384 KB Output is correct
34 Correct 2 ms 384 KB Output is correct
35 Correct 2 ms 384 KB Output is correct
36 Correct 2 ms 384 KB Output is correct
37 Correct 3 ms 384 KB Output is correct
38 Correct 3 ms 384 KB Output is correct
39 Correct 4 ms 512 KB Output is correct
40 Correct 4 ms 512 KB Output is correct
41 Correct 4 ms 512 KB Output is correct
42 Correct 4 ms 512 KB Output is correct
43 Correct 4 ms 512 KB Output is correct
44 Correct 5 ms 512 KB Output is correct
45 Correct 4 ms 512 KB Output is correct
46 Correct 15 ms 896 KB Output is correct
47 Correct 16 ms 896 KB Output is correct
48 Correct 28 ms 504 KB Output is correct
49 Correct 11 ms 512 KB Output is correct
50 Correct 11 ms 512 KB Output is correct
51 Correct 22 ms 896 KB Output is correct
52 Correct 22 ms 1252 KB Output is correct
53 Correct 22 ms 1280 KB Output is correct
54 Correct 23 ms 1280 KB Output is correct
55 Correct 17 ms 896 KB Output is correct
56 Correct 15 ms 896 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 2 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 2 ms 384 KB Output is correct
33 Correct 2 ms 384 KB Output is correct
34 Correct 2 ms 384 KB Output is correct
35 Correct 2 ms 384 KB Output is correct
36 Correct 2 ms 384 KB Output is correct
37 Correct 3 ms 384 KB Output is correct
38 Correct 3 ms 384 KB Output is correct
39 Correct 4 ms 512 KB Output is correct
40 Correct 4 ms 512 KB Output is correct
41 Correct 4 ms 512 KB Output is correct
42 Correct 4 ms 512 KB Output is correct
43 Correct 4 ms 512 KB Output is correct
44 Correct 5 ms 512 KB Output is correct
45 Correct 4 ms 512 KB Output is correct
46 Correct 15 ms 896 KB Output is correct
47 Correct 16 ms 896 KB Output is correct
48 Correct 28 ms 504 KB Output is correct
49 Correct 11 ms 512 KB Output is correct
50 Correct 11 ms 512 KB Output is correct
51 Correct 22 ms 896 KB Output is correct
52 Correct 22 ms 1252 KB Output is correct
53 Correct 22 ms 1280 KB Output is correct
54 Correct 23 ms 1280 KB Output is correct
55 Correct 17 ms 896 KB Output is correct
56 Correct 15 ms 896 KB Output is correct
57 Correct 26 ms 1180 KB Output is correct
58 Correct 30 ms 1180 KB Output is correct
59 Correct 29 ms 1180 KB Output is correct
60 Correct 30 ms 1180 KB Output is correct
61 Correct 90 ms 4204 KB Output is correct
62 Correct 90 ms 4328 KB Output is correct
63 Correct 640 ms 16192 KB Output is correct
64 Correct 612 ms 16312 KB Output is correct
65 Correct 512 ms 8600 KB Output is correct
66 Correct 496 ms 8716 KB Output is correct
67 Correct 0 ms 256 KB Output is correct
68 Correct 0 ms 384 KB Output is correct
69 Correct 635 ms 17856 KB Output is correct
70 Correct 553 ms 14936 KB Output is correct
71 Correct 550 ms 14828 KB Output is correct
72 Correct 556 ms 16440 KB Output is correct
73 Correct 605 ms 16336 KB Output is correct