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Submission #1070380

# Submission time Handle Problem Language Result Execution time Memory
1070380 2024-08-22T13:47:37 Z jerzyk Radio Towers (IOI22_towers) C++17
17 / 100
 1004 ms 28108 KB 
#include <bits/stdc++.h>
#include "towers.h"

using namespace std;
#define pb push_back
#define st first
#define nd second
typedef long long ll;
typedef long double ld;
const ll I = 1000LL * 1000LL * 1000LL * 1000LL * 1000LL * 1000LL;
const int II = 2 * 1000 * 1000 * 1000;
const ll M = 1000LL * 1000LL * 1000LL + 7LL;
const int N = 1<<17;
int drz[2 * N], drz2[2 * N], drz3[2 * N], drz4[2 * N];
int drzmi[2 * N], drzma[2 * N];
vector<int> mrg[2 * N];

int tab[N], ml[N], mr[N], cdi[N], tim[N];
set<int> cur;
set<int>::iterator it;
set<pair<int, int>> dif;


int FindL(int v, int a, int b, int pz, int kz, int x)
{
    if(a > kz || b < pz || drzma[v] < x) return N;
    if(v >= N) return v - N;
    int ans = FindL(v * 2, a, (a + b) / 2, pz, kz, x);
    if(ans < N) return ans;
    ans = FindL(v * 2 + 1, (a + b) / 2 + 1, b, pz, kz, x);
    return ans;
}

int FindR(int v, int a, int b, int pz, int kz, int x)
{
    if(a > kz || b < pz || drzma[v] < x) return 0;
    if(v >= N) return v - N;
    int ans = FindR(v * 2 + 1, (a + b) / 2 + 1, b, pz, kz, x);
    if(ans != 0) return ans;
    ans = FindR(v * 2, a, (a + b) / 2, pz, kz, x);
    return ans;
}

int FindXD(int a, int b, int k)
{
    vector<int> x, y;
    a += N - 1; b += N + 1;
    while(a / 2 != b / 2)
    {
        if(a % 2 == 0) x.pb(a + 1);
        if(b % 2 == 1) y.pb(b - 1);
        a /= 2; b /= 2;
    }
    reverse(y.begin(), y.end());
    for(int j = 0; j < (int)y.size(); ++j) x.pb(y[j]);
    int curmi = II;
    for(int i = 0; i < (int)x.size(); ++i)
    {
        if(drz3[x[i]] >= k || drz[x[i]] - curmi >= k)
        {
            int v = x[i];
            while(v < N)
            {
                v *= 2;
                if(!(drz3[v] >= k || drz[v] - curmi >= k))
                {
                    curmi = min(curmi, drz2[v]);
                    ++v;
                }
            }
            return v - N;
        }
        curmi = min(curmi, drz2[x[i]]);
    }
    return -1;
}

int FindXD2(int a, int b, int k)
{
    vector<int> x, y;
    a += N - 1; b += N + 1;
    while(a / 2 != b / 2)
    {
        if(a % 2 == 0) x.pb(a + 1);
        if(b % 2 == 1) y.pb(b - 1);
        a /= 2; b /= 2;
    }
    reverse(y.begin(), y.end());
    for(int j = 0; j < (int)y.size(); ++j) x.pb(y[j]);
    reverse(x.begin(), x.end());
    int curmi = 0;
    for(int i = 0; i < (int)x.size(); ++i)
    {
        if(drz4[x[i]] >= k || drz[x[i]] - curmi >= k)
        {
            int v = x[i];
            while(v < N)
            {
                v = v * 2 + 1;
                if(!(drz4[v] >= k || drz[v] - curmi >= k))
                {
                    curmi = min(curmi, drz2[v]);
                    --v;
                }
            }
            return v - N;
        }
        curmi = min(curmi, drz2[x[i]]);
    }
    return -1;
}

bool ChkL(int a, int b, int k)
{
    //cerr << "Chkl: " << a << " " << b << "\n";
    vector<int> x, y;
    a += N - 1; b += N + 1;
    while(a / 2 != b / 2)
    {
        if(a % 2 == 0) x.pb(a + 1);
        if(b % 2 == 1) y.pb(b - 1);
        a /= 2; b /= 2;
    }
    reverse(y.begin(), y.end());
    for(int j = 0; j < (int)y.size(); ++j) x.pb(y[j]);
    int curmi = II;
    for(int i = 0; i < (int)x.size(); ++i)
    {
        if(drz3[x[i]] >= k) return true;
        if(drz[x[i]] - curmi >= k) return true;
        curmi = min(curmi, drz2[x[i]]);
    }
    return false;
}

bool ChkR(int a, int b, int k)
{
    vector<int> x, y;
    a += N - 1; b += N + 1;
    while(a / 2 != b / 2)
    {
        if(a % 2 == 0) x.pb(a + 1);
        if(b % 2 == 1) y.pb(b - 1);
        a /= 2; b /= 2;
    }
    reverse(y.begin(), y.end());
    for(int j = 0; j < (int)y.size(); ++j) x.pb(y[j]);
    int curma = 0;
    for(int i = 0; i < (int)x.size(); ++i)
    {
        if(drz4[x[i]] >= k) return true;
        if(curma - drz2[x[i]] >= k) return true;
        curma = max(curma, drz[x[i]]);
    }
    return false;
}

void DoT(int n)
{
    drz2[N] = II; drzmi[N] = II;
    for(int i = N; i < 2 * N; ++i)
    {
        drz3[i] = -II / 2;
        drz4[i] = -II / 2;
    }
    for(int i = 1; i <= n; ++i)
    {
        drzmi[i + N] = tim[i]; drzma[i + N] = tim[i];
        drz[i + N] = tab[i]; drz2[i + N] = tab[i];
        mrg[i + N] = {tim[i]};
    }
    for(int i = n + 1; i < N; ++i)
    {drzmi[i + N] = II; drz2[i + N] = II;}

    for(int i = N - 1; i >= 1; --i)
    {
        drzma[i] = max(drzma[2 * i], drzma[2 * i + 1]);
        drzmi[i] = min(drzmi[2 * i], drzmi[2 * i + 1]);

        drz[i] = max(drz[2 * i], drz[2 * i + 1]);
        drz2[i] = min(drz2[2 * i], drz2[2 * i + 1]);

        drz3[i] = max(drz3[i * 2], drz3[i * 2 + 1]);
        drz3[i] = max(drz3[i], drz[i * 2 + 1] - drz2[i * 2]);

        drz4[i] = max(drz4[i * 2], drz4[i * 2 + 1]);
        drz4[i] = max(drz4[i], drz[i * 2] - drz2[i * 2 + 1]);

        mrg[i] = mrg[i * 2];
        for(int j = 0; j < (int)mrg[i * 2 + 1].size(); ++j)
            mrg[i].pb(mrg[i * 2 + 1][j]);
        sort(mrg[i].begin(), mrg[i].end());
    }
}

inline int Il(int v, int x)
{
    return (mrg[v].end() - lower_bound(mrg[v].begin(), mrg[v].end(), x));
}

int Query(int a, int b, int x)
{
    a += N - 1; b += N + 1;
    int ans = 0;
    while(a / 2 != b / 2)
    {
        if(a % 2 == 0) ans += Il(a + 1, x);
        if(b % 2 == 1) ans += Il(b - 1, x);
        a /= 2; b /= 2;
    }

    return ans;
}

int GetL(int v)
{
    it = cur.lower_bound(v);
    if(it == cur.begin()) return 0;
    --it; return *it;
}

int GetR(int v)
{
    it = cur.upper_bound(v);
    if(it == cur.end()) return 0;
    return *it;
}

void init(int _N, vector<int> _H)
{
    int n = _N;
    for(int i = 1; i <= n; ++i) tab[i] = _H[i - 1];
    for(int i = 1; i <= n; ++i)
    {
        ml[i] = 0LL; mr[i] = 0LL;
        cur.insert(i);
    }
    ml[1] = II; mr[n] = II;
    for(int i = 1; i <= n; ++i)
    {
        cdi[i] = min(ml[i], mr[i]) - tab[i];
        dif.insert(make_pair(cdi[i], i));
    }
    while((int)cur.size() > 1)
    {
        int v = (*dif.begin()).nd;
        dif.erase(dif.begin());
        cur.erase(v);
        tim[v] = cdi[v];
        int l = GetL(v), r = GetR(v);
        int xd = max(tab[v], max(mr[v], ml[v]));
        if(l != 0)
        {
            dif.erase(make_pair(cdi[l], l));
            mr[l] = max(mr[l], xd);
            cdi[l] = min(ml[l], mr[l]) - tab[l];
            dif.insert(make_pair(cdi[l], l));
        }
        if(r != 0)
        {
            dif.erase(make_pair(cdi[r], r));
            ml[r] = max(ml[r], xd);
            cdi[r] = min(ml[r], mr[r]) - tab[r];
            dif.insert(make_pair(cdi[r], r));
        }
    }
    for(int i = 1; i <= n; ++i)
        tim[i] = max(tim[i], 0);
    tim[*cur.begin()] = II;
    DoT(n);
    //for(int i = 1; i <= n; ++i)
        //cerr << tim[i] << " ";
    //cerr << "\n";
}

int max_towers(int L, int R, int D)
{
    ++L; ++R;
    int ans = Query(L, R, D);
    if(ans == 0)
    {
        int p = FindXD(L, R, D);
        int p2 = FindXD2(L, R, D);
        //cerr << "Find: " << p << " " << QueryMI(p + 1, R) << "\n";
        if(p == -1 || p2 == -1) return 1;
        if(p <= p2) return 2;
        return 1;
    }
    int l = FindL(1, 0, N - 1, L, R, D);
    int r = FindR(1, 0, N - 1, L, R, D);
    //cerr << "Que: " << l << " " << r << "\n";
    if(l != L && ChkL(L, l - 1, D)) ++ans;
    if(r != R && ChkR(r + 1, R, D)) ++ans;
    return ans;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 465 ms 22556 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 7 ms 15192 KB Output is correct
3 Correct 6 ms 15192 KB Output is correct
4 Correct 5 ms 15020 KB Output is correct
5 Correct 6 ms 15192 KB Output is correct
6 Correct 5 ms 15192 KB Output is correct
7 Correct 6 ms 15000 KB Output is correct
8 Correct 5 ms 14936 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14936 KB Output is correct
11 Correct 6 ms 15016 KB Output is correct
12 Correct 3 ms 14680 KB Output is correct
13 Correct 4 ms 14936 KB Output is correct
14 Correct 5 ms 14936 KB Output is correct
15 Correct 6 ms 15192 KB Output is correct
16 Correct 8 ms 15192 KB Output is correct
17 Correct 7 ms 15192 KB Output is correct
18 Correct 4 ms 15080 KB Output is correct
19 Incorrect 5 ms 15028 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
20 Halted 0 ms 0 KB -

Subtask #3
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 7 ms 15192 KB Output is correct
3 Correct 6 ms 15192 KB Output is correct
4 Correct 5 ms 15020 KB Output is correct
5 Correct 6 ms 15192 KB Output is correct
6 Correct 5 ms 15192 KB Output is correct
7 Correct 6 ms 15000 KB Output is correct
8 Correct 5 ms 14936 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14936 KB Output is correct
11 Correct 6 ms 15016 KB Output is correct
12 Correct 3 ms 14680 KB Output is correct
13 Correct 4 ms 14936 KB Output is correct
14 Correct 5 ms 14936 KB Output is correct
15 Correct 6 ms 15192 KB Output is correct
16 Correct 8 ms 15192 KB Output is correct
17 Correct 7 ms 15192 KB Output is correct
18 Correct 4 ms 15080 KB Output is correct
19 Incorrect 5 ms 15028 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
20 Halted 0 ms 0 KB -

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 852 ms 27880 KB Output is correct
2 Correct 977 ms 27896 KB Output is correct
3 Incorrect 1004 ms 28104 KB 64618th lines differ - on the 1st token, expected: '1', found: '2'
4 Halted 0 ms 0 KB -

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 277 ms 17960 KB Output is correct
2 Correct 952 ms 28104 KB Output is correct
3 Correct 945 ms 28088 KB Output is correct
4 Correct 968 ms 28048 KB Output is correct
5 Correct 974 ms 28068 KB Output is correct
6 Correct 991 ms 28108 KB Output is correct
7 Correct 909 ms 28100 KB Output is correct
8 Correct 728 ms 28056 KB Output is correct
9 Correct 714 ms 28012 KB Output is correct
10 Correct 775 ms 28104 KB Output is correct
11 Correct 714 ms 28060 KB Output is correct
12 Correct 275 ms 28104 KB Output is correct
13 Correct 241 ms 28004 KB Output is correct
14 Correct 230 ms 27916 KB Output is correct
15 Correct 78 ms 28012 KB Output is correct
16 Correct 99 ms 27908 KB Output is correct
17 Correct 240 ms 27592 KB Output is correct
18 Correct 245 ms 27872 KB Output is correct
19 Correct 238 ms 27908 KB Output is correct
20 Correct 237 ms 28108 KB Output is correct
21 Correct 246 ms 28104 KB Output is correct
22 Correct 237 ms 28104 KB Output is correct
23 Correct 232 ms 28104 KB Output is correct
24 Correct 92 ms 27948 KB Output is correct
25 Correct 72 ms 28104 KB Output is correct
26 Correct 83 ms 28104 KB Output is correct
27 Correct 104 ms 28060 KB Output is correct
28 Correct 5 ms 15192 KB Output is correct
29 Correct 5 ms 14976 KB Output is correct
30 Correct 6 ms 15192 KB Output is correct
31 Correct 6 ms 14936 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 4 ms 14936 KB Output is correct
34 Correct 5 ms 15192 KB Output is correct
35 Correct 5 ms 15008 KB Output is correct
36 Correct 5 ms 15192 KB Output is correct
37 Correct 5 ms 15192 KB Output is correct
38 Correct 6 ms 15128 KB Output is correct
39 Correct 6 ms 15192 KB Output is correct
40 Correct 4 ms 15096 KB Output is correct
41 Correct 3 ms 14936 KB Output is correct
42 Correct 4 ms 15072 KB Output is correct
43 Correct 4 ms 14936 KB Output is correct

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 7 ms 15192 KB Output is correct
3 Correct 6 ms 15192 KB Output is correct
4 Correct 5 ms 15020 KB Output is correct
5 Correct 6 ms 15192 KB Output is correct
6 Correct 5 ms 15192 KB Output is correct
7 Correct 6 ms 15000 KB Output is correct
8 Correct 5 ms 14936 KB Output is correct
9 Correct 4 ms 14936 KB Output is correct
10 Correct 4 ms 14936 KB Output is correct
11 Correct 6 ms 15016 KB Output is correct
12 Correct 3 ms 14680 KB Output is correct
13 Correct 4 ms 14936 KB Output is correct
14 Correct 5 ms 14936 KB Output is correct
15 Correct 6 ms 15192 KB Output is correct
16 Correct 8 ms 15192 KB Output is correct
17 Correct 7 ms 15192 KB Output is correct
18 Correct 4 ms 15080 KB Output is correct
19 Incorrect 5 ms 15028 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
20 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Incorrect 465 ms 22556 KB 1st lines differ - on the 1st token, expected: '1', found: '2'
2 Halted 0 ms 0 KB -