Submission #62697

# Submission time Handle Problem Language Result Execution time Memory
62697 2018-07-29T20:32:54 Z eriksuenderhauf Printed Circuit Board (CEOI12_circuit) C++11
85 / 100
100 ms 3688 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;
bitset<MAXN> ans, vis;

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 (!ans[a1] && *q.begin() == a1 && sgn(0, a1, p[i-1]) != 0)
                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 3 ms 376 KB Output is correct
2 Correct 3 ms 456 KB Output is correct
3 Correct 4 ms 456 KB Output is correct
4 Correct 4 ms 596 KB Output is correct
5 Correct 13 ms 616 KB Output is correct
6 Correct 11 ms 640 KB Output is correct
7 Correct 19 ms 768 KB Output is correct
8 Correct 11 ms 768 KB Output is correct
9 Correct 3 ms 768 KB Output is correct
10 Correct 9 ms 768 KB Output is correct
11 Correct 12 ms 768 KB Output is correct
12 Correct 12 ms 768 KB Output is correct
13 Correct 29 ms 1116 KB Output is correct
14 Correct 23 ms 1116 KB Output is correct
15 Correct 32 ms 1160 KB Output is correct
16 Correct 44 ms 1676 KB Output is correct
17 Correct 96 ms 1936 KB Output is correct
18 Execution timed out 121 ms 2824 KB Time limit exceeded
19 Execution timed out 126 ms 2976 KB Time limit exceeded
20 Execution timed out 201 ms 3688 KB Time limit exceeded