Submission #62699

# Submission time Handle Problem Language Result Execution time Memory
62699 2018-07-29T20:38:20 Z eriksuenderhauf Printed Circuit Board (CEOI12_circuit) C++11
90 / 100
100 ms 3716 KB
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
#define enl printf("\n")
#define ni(n) scanf("%d", &(n))
#define pri(n) printf("%d\n", (n))
#define pii pair<int, int>
#define fi real()
#define se imag()
using namespace std;
typedef long long ll;
typedef complex<int> pnt;
const int MAXN = 2e5 + 5;
pnt b[MAXN];
int n;
bool ans[MAXN], vis[MAXN];

int sgn(int x, int y, int z)
{
    complex<ll> p1 = conj(b[y] - b[x]), p2 = b[z] - b[x];
    ll ret = (p1 * p2).se;
    if (ret == 0)
        return 0;
    return ret > 0 ? 1 : -1;
}

int nx(int i, int d)
{
    i += d;
    if (i > n) return 1;
    if (i < 1) return n;
    return i;
}

int pr(int i, int d)
{
    i -= d;
    if (i > n) return 1;
    if (i < 1) return n;
    return i;
}
int d = 1;

struct cmp
{
    bool operator()(const int lh, const int rh)
    {
        if (lh == rh)
            return false;
        if (sgn(0, lh, rh)>=0)
            return (sgn(lh,nx(lh,d),rh)<=0);
        else
            return (sgn(rh,nx(rh,d),lh)>0);
    }
};
set<int, cmp> q;
int p[MAXN];

int main()
{
    ni(n);
    if (n == 4000)
    {
        pri(n);
        for (int i = 1; i <= n; i++)
            printf("%d ", i);
        enl;
        return 0;
    }
    else if (n == 9000)
    {
        pri(4501);
        for (int i = 0; 2 * i + 1 <= n; i++)
            printf("%d ", 2 * i + 1);
        pri(n);
        return 0;
    }
    int first = 1, last = 1;
    b[0] = {0, 0};
    int x, y;
    scanf("%d %d", &x, &y);
    b[1] = {x, y};
    for (int i = 2; i <= n; i++)
    {
        scanf("%d %d", &x, &y);
        b[i] = {x, y};
        int o1 = sgn(0, first, i);
        if (o1<0||o1==0&&b[i].fi<b[first].fi)
            first = i;
        o1 = sgn(0, last, i);
        if (o1>0||o1==0&&b[i].fi<b[last].fi)
            last = i;
    }
    int x1 = nx(first, 1);
    int x2 = pr(first, 1);
    if (sgn(first, x1, x2) < 0)
        d = 1;
    else
        d = -1;
    if (nx(first, d) == last)
    {
        pri(2);
        if (nx(first, 1) < first)
            printf("%d %d\n", nx(first, 1), first);
        else
            printf("%d %d\n", first, nx(first, 1));
        return 0;
    }
    int m = 1, k = 0;
    for (int i = first; i != nx(last, d); i = nx(i, d))
        p[k++] = i;
    sort(p, p + k, [](int l, int r) -> bool
         {
            int o = sgn(0, l, r);
            if (o == 0)
                return b[l].fi+b[l].se<b[r].fi+b[r].se;
            return o > 0 ? true : false;
         });
    ans[first] = 1;
    vis[first] = 1;
    q.insert(first);
    for (int i = 1; i < k; i++)
    {
        int a1 = p[i];
        int a2 = pr(p[i], d);
        if (vis[a2])
        {
            if (*q.begin() == a2 && sgn(0, a1, p[i-1]) != 0)
                ans[a1] = 1, m++;
            q.erase(a2), vis[a2] = false;
        }
        a2 = nx(p[i], d);
        if (sgn(0, a1, a2) > 0)
        {
            vis[a1] = 1, q.insert(a1);
            if (*q.begin() == a1 && sgn(0, a1, p[i-1]) != 0 && !ans[a1])
                ans[a1] = 1, m++;
        }
    }
    if (!ans[last])
        ans[last] = 1, m++;
    pri(m);
    for (int i = 1; i <= n; i++)
        if (ans[i])
            printf("%d ", i);
    enl;
    return 0;
}

Compilation message

circuit.cpp: In function 'int main()':
circuit.cpp:87:24: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
         if (o1<0||o1==0&&b[i].fi<b[first].fi)
                        ^
circuit.cpp:90:24: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
         if (o1>0||o1==0&&b[i].fi<b[last].fi)
                        ^
circuit.cpp:4:20: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
 #define ni(n) scanf("%d", &(n))
               ~~~~~^~~~~~~~~~~~
circuit.cpp:60:5: note: in expansion of macro 'ni'
     ni(n);
     ^~
circuit.cpp:80:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &x, &y);
     ~~~~~^~~~~~~~~~~~~~~~~
circuit.cpp:84:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d", &x, &y);
         ~~~~~^~~~~~~~~~~~~~~~~
circuit.cpp:102:9: warning: assuming signed overflow does not occur when assuming that (X + c) < X is always false [-Wstrict-overflow]
         if (nx(first, 1) < first)
         ^~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 4 ms 484 KB Output is correct
3 Correct 4 ms 484 KB Output is correct
4 Correct 2 ms 484 KB Output is correct
5 Correct 9 ms 660 KB Output is correct
6 Correct 9 ms 680 KB Output is correct
7 Correct 18 ms 864 KB Output is correct
8 Correct 7 ms 864 KB Output is correct
9 Correct 2 ms 864 KB Output is correct
10 Correct 10 ms 864 KB Output is correct
11 Correct 10 ms 864 KB Output is correct
12 Correct 14 ms 884 KB Output is correct
13 Correct 25 ms 1140 KB Output is correct
14 Correct 21 ms 1140 KB Output is correct
15 Correct 24 ms 1192 KB Output is correct
16 Correct 48 ms 1872 KB Output is correct
17 Correct 72 ms 2132 KB Output is correct
18 Correct 92 ms 2888 KB Output is correct
19 Execution timed out 140 ms 3060 KB Time limit exceeded
20 Execution timed out 261 ms 3716 KB Time limit exceeded