oj.uz

Submission #483684

# Submission time Handle Problem Language Result Execution time Memory
483684 2021-10-31T17:19:10 Z blue Constellation 3 (JOI20_constellation3) C++17
35 / 100
 1500 ms 233428 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
using namespace std;
 
const int maxN = 200'000;
const int maxM = 200'000;
const int lgM = 17;
const int lgN = 17;
const int INF = 1'000'000'000;
 
int N;
vector<int> A(1+maxN+1);
vector<int> star_list[1+maxN];
 
int M;
vector<int> X(1+maxM);
vector<int> Y(1+maxM);
vector<long long> C(1+maxM);
 
long long total_cost = 0;
 
vector<int> lowest_pow(100+maxN);
 
struct sparse_table
{
    int** mx;
 
    sparse_table()
    {
        // cerr << "creating sparse table\n";
        mx = new int*[1+N+1];
        for(int i = 0; i <= N+1; i++)
            mx[i] = new int[lgN];
 
        for(int i = 0; i <= N+1; i++)
            mx[i][0] = A[i];
 
        for(int e = 1; e < lgN; e++)
        {
            for(int i = 0; i <= N+1; i++)
            {
                if(i + (1 << e) - 1 > N+1)
                    continue;
 
                mx[i][e] = max(mx[i][e-1], mx[i + (1 << (e-1))][e-1]);
            }
        }
        // cerr << "sparse table built\n";
    }
 
    int rangemax(int l, int r)
    {
        // cerr << "range max " << l << ' ' << r << '\n';
        int p = lowest_pow[r-l+1];
        // cerr << "p = " << p << '\n';
        return max(mx[l][p], mx[r - (1 << p) + 1][p]);
    }
};
 
 
 
vector<int> left_high(1+maxM);
vector<int> right_high(1+maxM);
 
 
struct rectangle
{
    int L; //[L, R] x [H, N]
    int R;
    int H;
    int I;
};
 
bool operator < (rectangle A, rectangle B)
{
    if(A.L != B.L)
        return A.L < B.L;
    else if(A.R != B.R)
        return A.R > B.R;
    else if(A.H != B.H)
        return A.H > B.H;
    else
        return A.I < B.I;
}
 
vector<rectangle> rect(1+maxM);
vector<int> star_bottom(1+maxM);
 
vector<int> openings[1+maxN];
vector<int> closings[1+maxN];
 
 
 
int anc[1+maxM][lgM];
vector<int> desc[1+maxM][lgM];
vector<int> depth(1+maxM, 0);
 
long long anc_dp_sum[1+maxM][lgM]; //exclusive
vector<long long> dp(1+maxM, 0LL);
vector<long long> child_dp_sum(1+maxM, 0LL);
 
 
bool dbg_flag = 0;
 
 
 
 
void dfs1(int u)
{
    for(int v: desc[u][0])
    {
        depth[v] = depth[u] + 1;
        dfs1(v);
    }
}
 
int getAnc(int u, int d)
{
    for(int e = 0; e < lgM; e++)
    {
        if(d & (1 << e))
            u = anc[u][e];
    }
    return u;
}
 
long long chain_sum(int u, int d)
{
    int u1 = u;
    long long ans = 0;
    for(int e = 0; e < lgM; e++)
    {
        if(d & (1 << e))
        {
            ans += anc_dp_sum[u][e];
            u = anc[u][e];
        }
    }
    // cerr << "chain sum " << u1 << ' ' << d << " " << ans << '\n';
    return ans;
}
 
 
 
 
void binary_lift(int u, int e)
{
    anc_dp_sum[u][e] = anc_dp_sum[u][e-1] + anc_dp_sum[ anc[u][e-1] ][e-1];
 
    for(int v: desc[u][e])
        binary_lift(v, e+1);
}
 
void dfs2(int u)
{
    for(int v: desc[u][0])
    {
        dfs2(v);
        child_dp_sum[u] += dp[v];
    }
 
    for(int v: desc[u][0])
    {
        anc_dp_sum[v][0] = child_dp_sum[u] - dp[v];
        // cerr << "anc dp sum " << v << ' ' << 0 << " = " << anc_dp_sum[v][0] << '\n';
        for(int v2: desc[v][0])
            binary_lift(v2, 1);
    }
    if(star_bottom[u] == u)
    {
        dp[u] = child_dp_sum[u] + C[u];
    }
    else
    {
        int sb = star_bottom[u];
                dbg_flag = 1;
        long long new_dp = child_dp_sum[sb] + chain_sum(sb, depth[sb] - depth[u]) + C[u];
        // new_dp += child_dp_sum[u] - dp[ getAnc(sb, depth[sb] - depth[u] - 1) ];
 
        dbg_flag = 0;
 
 
        dp[u] = max(child_dp_sum[u],   new_dp);
 
    }
}
 
 
 
int main()
{
    cin >> N;
    A[0] = N+1;
    for(int i = 1; i <= N; i++) cin >> A[i];
    A[N+1] = N+1;
 
    cin >> M;
    for(int j = 1; j <= M; j++)
    {
        cin >> X[j] >> Y[j] >> C[j];
        star_list[ X[j] ].push_back(j);
        total_cost += C[j];
    }
 
    lowest_pow[1] = 0;
    for(int i = 2; i < lowest_pow.size(); i++)
        lowest_pow[i] = 1 + lowest_pow[i/2];
 
    sparse_table S;
 
    for(int j = 1; j <= M; j++)
    {
        // cerr << "j = " << j << '\n';
        int lo, hi, mid;
        //closest building on left
        lo = 0;
        hi = X[j]-1;
        while(lo != hi)
        {
            mid = (lo+hi)/2+1;
            if(S.rangemax(mid, hi) >= Y[j])
                lo = mid;
            else
                hi = mid-1;
        }
        left_high[j] = lo;
 
        // cerr << "part 1 done\n";
 
 
        //closest building on right
        lo = X[j]+1;
        hi = N+1;
        while(lo != hi)
        {
            // cerr << lo << ' ' << hi << '\n';
            mid = (lo+hi)/2;
            if(S.rangemax(lo, mid) >= Y[j])
                hi = mid;
            else
                lo = mid+1;
        }
        right_high[j] = lo;
 
 
        rect[j] = rectangle{left_high[j] + 1, right_high[j] - 1, Y[j], j};
        openings[rect[j].L].push_back(j);
        closings[rect[j].R].push_back(j);
        // cerr << "done\n";
    }
    // cerr << "check\n";
 
 
    for(int i = 1; i <= N; i++)
    {
        // cerr << "i = " << i << '\n';
        sort(openings[i].begin(), openings[i].end(), [] (int o1, int o2)
        {
            return rect[o1] < rect[o2];
        });
 
        // for(int o: openings[i]) cerr << o << ' ';
        // cerr << '\n';
 
        sort(closings[i].begin(), closings[i].end(), [] (int c1, int c2)
        {
            return rect[c2] < rect[c1]; //  REVERSED!!!!!!
        });
 
        // for(int c: closings[i]) cerr << c << ' ';
        // cerr << '\n';
    }
 
    vector<int> ST(1, 0);
    anc[0][0] = 0;
    for(int i = 1; i <= N; i++)
    {
        for(int o: openings[i])
        {
            anc[o][0] = ST.back();
            desc[ anc[o][0] ][0].push_back(o);
            ST.push_back(o);
        }
 
        for(int j: star_list[i])
        {
            star_bottom[j] = ST.back();
        }
 
        for(int c: closings[i])
        {
            ST.pop_back();
        }
    }
 
    for(int e = 1; e < lgM; e++)
        for(int j = 0; j <= M; j++)
        {
            anc[j][e] = anc[ anc[j][e-1] ][e-1];
            desc[ anc[j][e] ][e].push_back(j);
        }
 
    for(int j = 1; j <= M; j++)
        if(anc[j][0] == 0)
        {
            depth[j] = 1;
            dfs1(j);
        }
 
    long long max_kept = 0;
 
 
    for(int j = 1; j <= M; j++)
    {
        if(anc[j][0] == 0)
        {
            dfs2(j);
            max_kept += dp[j];
        }
    }
 
    cout << total_cost - max_kept << '\n';
}

Compilation message

constellation3.cpp: In function 'long long int chain_sum(int, int)':
constellation3.cpp:131:9: warning: unused variable 'u1' [-Wunused-variable]
  131 |     int u1 = u;
      |         ^~
constellation3.cpp: In function 'int main()':
constellation3.cpp:208:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  208 |     for(int i = 2; i < lowest_pow.size(); i++)
      |                    ~~^~~~~~~~~~~~~~~~~~~
constellation3.cpp:292:17: warning: unused variable 'c' [-Wunused-variable]
  292 |         for(int c: closings[i])
      |                 ^

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 108484 KB Output is correct
2 Correct 54 ms 108448 KB Output is correct
3 Correct 52 ms 108456 KB Output is correct
4 Correct 52 ms 108416 KB Output is correct
5 Correct 51 ms 108468 KB Output is correct
6 Correct 53 ms 108484 KB Output is correct
7 Correct 53 ms 108412 KB Output is correct
8 Correct 63 ms 108488 KB Output is correct
9 Correct 55 ms 108456 KB Output is correct
10 Correct 52 ms 108524 KB Output is correct
11 Correct 51 ms 108484 KB Output is correct
12 Correct 52 ms 108552 KB Output is correct
13 Correct 52 ms 108516 KB Output is correct
14 Correct 66 ms 108500 KB Output is correct
15 Correct 52 ms 108472 KB Output is correct
16 Correct 51 ms 108448 KB Output is correct
17 Correct 51 ms 108420 KB Output is correct
18 Correct 53 ms 108512 KB Output is correct
19 Correct 57 ms 108472 KB Output is correct
20 Correct 52 ms 108464 KB Output is correct
21 Correct 52 ms 108456 KB Output is correct
22 Correct 53 ms 108484 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 108484 KB Output is correct
2 Correct 54 ms 108448 KB Output is correct
3 Correct 52 ms 108456 KB Output is correct
4 Correct 52 ms 108416 KB Output is correct
5 Correct 51 ms 108468 KB Output is correct
6 Correct 53 ms 108484 KB Output is correct
7 Correct 53 ms 108412 KB Output is correct
8 Correct 63 ms 108488 KB Output is correct
9 Correct 55 ms 108456 KB Output is correct
10 Correct 52 ms 108524 KB Output is correct
11 Correct 51 ms 108484 KB Output is correct
12 Correct 52 ms 108552 KB Output is correct
13 Correct 52 ms 108516 KB Output is correct
14 Correct 66 ms 108500 KB Output is correct
15 Correct 52 ms 108472 KB Output is correct
16 Correct 51 ms 108448 KB Output is correct
17 Correct 51 ms 108420 KB Output is correct
18 Correct 53 ms 108512 KB Output is correct
19 Correct 57 ms 108472 KB Output is correct
20 Correct 52 ms 108464 KB Output is correct
21 Correct 52 ms 108456 KB Output is correct
22 Correct 53 ms 108484 KB Output is correct
23 Correct 70 ms 109252 KB Output is correct
24 Correct 58 ms 109200 KB Output is correct
25 Correct 58 ms 109248 KB Output is correct
26 Correct 56 ms 109264 KB Output is correct
27 Correct 56 ms 109168 KB Output is correct
28 Correct 56 ms 109252 KB Output is correct
29 Correct 55 ms 109140 KB Output is correct
30 Correct 56 ms 109252 KB Output is correct
31 Correct 56 ms 109236 KB Output is correct
32 Correct 66 ms 109784 KB Output is correct
33 Correct 59 ms 109776 KB Output is correct
34 Correct 57 ms 109744 KB Output is correct
35 Correct 57 ms 109764 KB Output is correct
36 Correct 57 ms 109844 KB Output is correct
37 Correct 57 ms 109764 KB Output is correct
38 Correct 56 ms 109868 KB Output is correct
39 Correct 58 ms 109496 KB Output is correct
40 Correct 57 ms 109824 KB Output is correct
41 Correct 56 ms 109380 KB Output is correct
42 Correct 56 ms 109448 KB Output is correct
43 Correct 57 ms 109852 KB Output is correct
44 Correct 73 ms 109372 KB Output is correct

Subtask #3
0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 108484 KB Output is correct
2 Correct 54 ms 108448 KB Output is correct
3 Correct 52 ms 108456 KB Output is correct
4 Correct 52 ms 108416 KB Output is correct
5 Correct 51 ms 108468 KB Output is correct
6 Correct 53 ms 108484 KB Output is correct
7 Correct 53 ms 108412 KB Output is correct
8 Correct 63 ms 108488 KB Output is correct
9 Correct 55 ms 108456 KB Output is correct
10 Correct 52 ms 108524 KB Output is correct
11 Correct 51 ms 108484 KB Output is correct
12 Correct 52 ms 108552 KB Output is correct
13 Correct 52 ms 108516 KB Output is correct
14 Correct 66 ms 108500 KB Output is correct
15 Correct 52 ms 108472 KB Output is correct
16 Correct 51 ms 108448 KB Output is correct
17 Correct 51 ms 108420 KB Output is correct
18 Correct 53 ms 108512 KB Output is correct
19 Correct 57 ms 108472 KB Output is correct
20 Correct 52 ms 108464 KB Output is correct
21 Correct 52 ms 108456 KB Output is correct
22 Correct 53 ms 108484 KB Output is correct
23 Correct 70 ms 109252 KB Output is correct
24 Correct 58 ms 109200 KB Output is correct
25 Correct 58 ms 109248 KB Output is correct
26 Correct 56 ms 109264 KB Output is correct
27 Correct 56 ms 109168 KB Output is correct
28 Correct 56 ms 109252 KB Output is correct
29 Correct 55 ms 109140 KB Output is correct
30 Correct 56 ms 109252 KB Output is correct
31 Correct 56 ms 109236 KB Output is correct
32 Correct 66 ms 109784 KB Output is correct
33 Correct 59 ms 109776 KB Output is correct
34 Correct 57 ms 109744 KB Output is correct
35 Correct 57 ms 109764 KB Output is correct
36 Correct 57 ms 109844 KB Output is correct
37 Correct 57 ms 109764 KB Output is correct
38 Correct 56 ms 109868 KB Output is correct
39 Correct 58 ms 109496 KB Output is correct
40 Correct 57 ms 109824 KB Output is correct
41 Correct 56 ms 109380 KB Output is correct
42 Correct 56 ms 109448 KB Output is correct
43 Correct 57 ms 109852 KB Output is correct
44 Correct 73 ms 109372 KB Output is correct
45 Correct 1420 ms 200028 KB Output is correct
46 Correct 1391 ms 197748 KB Output is correct
47 Correct 1434 ms 200688 KB Output is correct
48 Correct 1368 ms 197788 KB Output is correct
49 Correct 1458 ms 198092 KB Output is correct
50 Correct 1380 ms 197104 KB Output is correct
51 Correct 1402 ms 199464 KB Output is correct
52 Correct 1472 ms 200160 KB Output is correct
53 Correct 1443 ms 197972 KB Output is correct
54 Execution timed out 1598 ms 233428 KB Time limit exceeded
55 Halted 0 ms 0 KB -