Submission #127065

# Submission time Handle Problem Language Result Execution time Memory
127065 2019-07-08T20:52:16 Z eriksuenderhauf Sailing Race (CEOI12_race) C++11
100 / 100
2902 ms 7544 KB
//#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 5e2 + 2;
const int INF = 1e9 + 7;
int ans[MAXN], mx[MAXN][MAXN][2];
int dp[MAXN][MAXN][2], dp2[MAXN][MAXN][2];
bool adj[MAXN][MAXN];
int nex[MAXN][MAXN];
int n;
 
inline bool between(int l, int r, int x) {
    if (l > r)
        return l < x || x < r;
    return l < x && x < r;
}
 
int solve(int l, int r, int k) {// path ends at r, interval at l
    if (dp[l][r][k] != -1) return dp[l][r][k];
    int &ret = dp[l][r][k];
    ret = 0;
    int lo = k ? r : l;
    int hi = l ^ r ^ lo;
    for (int i=1; i <= nex[r][0]; i++)
        if (between(lo, hi, nex[r][i]))
            ret = max(ret, max(solve(r, nex[r][i], k^1),  solve(l, nex[r][i], k)) + 1);
    return ret;
}
 
int f2(int l, int r, int k) {
    if (l == r) return 0;
    if (dp2[l][r][k] != -1) return dp2[l][r][k];
    int ret = adj[l][r] ? 0 : -INF;
    int lo = k ? r : l;
    int hi = l ^ r ^ lo;
    for (int i=1; i <= nex[l][0]; i++)
        if (between(lo, hi, nex[l][i]))
            ret = max(ret, f2(nex[l][i], r, k));
    return dp2[l][r][k] = ret + 1;
}
 
int b[MAXN];

int main() {
    memset(dp, -1, sizeof dp);
    memset(dp2, -1, sizeof dp2);
    int k;
    scanf("%d %d", &n, &k);
    for (int i = 1; i <= n; i++) {
        b[i] = i;
        int x;
        while (1) {
            scanf("%d", &x);
            if (x == 0)
                break;
            adj[i][x] = 1;
            nex[i][++nex[i][0]] = x;
        }
    }
    for (int i = 1; i <= n; i++)
        for (int j=1; j <= nex[i][0]; j++)
            ans[i] = max(ans[i], max(solve(i, nex[i][j], 0), solve(i, nex[i][j], 1)) + 1);
    mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    shuffle(b+1,b+n+1, rng);
    if (k == 1) for (int ii = 1; ii <= n; ii++) {
        int i = b[ii];
        memset(mx, 0, sizeof mx);
        for (int x = (i%n) + 1; x != i; x = (x%n) + 1)
            for (int y = (x+1)%n + 1; y != i; y = (y%n) + 1) {
                mx[x][y][0] = mx[x][(y+n-2)%n + 1][0];
                if (adj[i][(y+n-2)%n + 1])
                    mx[x][y][0] = max(mx[x][y][0], solve(x,(y+n-2)%n + 1,0) + 1);
            }
        for (int x = (i+n-2)%n+1; x != i; x = (x-2+n)%n+1)
            for (int y = (x+2*n-3)%n+1; y != i; y = (y-2+n)%n+1) {
                mx[y][x][1] = mx[y%n+1][x][1];
                if (adj[i][y%n+1])
                    mx[y][x][1] = max(mx[y][x][1], solve(x,y%n+1,1) + 1);
            }
 
        for (int l = i%n+1; l != (i+2*n-3)%n+1; l = (l%n) + 1)
            for (int j = (l+1)%n+1; j != i; j = (j%n) + 1) {
                if (adj[l][j])
                    ans[l] = max(ans[l], max(f2(j, i, 0) + mx[l][j][0], f2(j, i, 0) + mx[l][j][1]) + 1);
                if (adj[j][l])
                    ans[j] = max(ans[j], max(f2(l, i, 1) + mx[l][j][0], f2(l, i, 1) + mx[l][j][1]) + 1);
            }
        if (ii > 420) break;
    }
    int ind = 0;
    for (int i = 1; i <= n; i++)
        if (ans[ind] < ans[i])
            ind = i;
    printf("%d\n%d\n", ans[ind], ind);
    return 0;
}

Compilation message

race.cpp: In function 'int main()':
race.cpp:48:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d", &n, &k);
     ~~~~~^~~~~~~~~~~~~~~~~
race.cpp:53:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
             scanf("%d", &x);
             ~~~~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 4344 KB Output is correct
2 Correct 9 ms 6264 KB Output is correct
3 Correct 11 ms 6392 KB Output is correct
4 Correct 13 ms 6392 KB Output is correct
5 Correct 6 ms 4472 KB Output is correct
6 Correct 20 ms 6392 KB Output is correct
7 Correct 8 ms 4476 KB Output is correct
8 Correct 29 ms 6520 KB Output is correct
9 Correct 9 ms 4472 KB Output is correct
10 Correct 18 ms 4600 KB Output is correct
11 Correct 11 ms 4600 KB Output is correct
12 Correct 237 ms 6776 KB Output is correct
13 Correct 668 ms 7036 KB Output is correct
14 Correct 59 ms 5244 KB Output is correct
15 Correct 2714 ms 7544 KB Output is correct
16 Correct 2775 ms 7524 KB Output is correct
17 Correct 2758 ms 7544 KB Output is correct
18 Correct 74 ms 5496 KB Output is correct
19 Correct 2902 ms 7480 KB Output is correct
20 Correct 2900 ms 7544 KB Output is correct