Submission #674653

# Submission time Handle Problem Language Result Execution time Memory
674653 2022-12-25T15:31:46 Z tamthegod Teams (CEOI11_tea) C++17
100 / 100
1689 ms 61520 KB
// Make the best become better
// No room for laziness
#include<bits/stdc++.h>

#define pb push_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxN = 1e6 + 5;
const int mod = 1e9 + 7;
const ll oo = 1e9;
int n, a[maxN], id[maxN];
int f[maxN], trace[maxN];
int dp[maxN];
pair<int, int> st[4 * maxN];
void ReadInput()
{
    cin >> n;
    for(int i=1; i<=n; i++)
        cin >> a[i];
}
void update(int id, int l, int r, int pos, pair<int, int> val)
{
    if(l == r)
    {
        st[id] = val;
        return;
    }
    int mid = (l + r) / 2;
    if(pos <= mid) update(id * 2, l, mid, pos, val);
    else update(id * 2 + 1, mid + 1, r, pos, val);
    st[id] = max(st[id * 2], st[id * 2 + 1]);
}
pair<int, int> get(int id, int l, int r, int u, int v)
{
    if(l > v || r < u) return {-oo, -oo};
    if(l >= u && r <= v) return st[id];
    int mid = (l + r) / 2;
    return max(get(id * 2, l, mid, u, v), get(id * 2 + 1, mid + 1, r, u, v));
}
bool chk(int val)
{
    memset(dp, -3, sizeof dp);
    dp[0] = 0;
    vector<int> vc;
    vc.pb(0);
    for(int i=1; i<=n; i++)
    {
        int t = id[i];
        int l = max(0, i - val), r = i - a[t];
        int j = upper_bound(vc.begin(), vc.end(), r) - vc.begin() - 1;
        if(j < 0) continue;
        j = vc[j];
        if(j < l) continue;
        dp[i] = dp[j] + 1;
        vc.pb(i);
    }
    return dp[n] == f[n];
}
bool chk1(int val)
{
    memset(dp, -3, sizeof dp);
    dp[0] = 0;
    for(int i=1; i<=n; i++)
    {
        int t = id[i];
        for(int j=i-a[t]+1; j>=max(1, i-val+1); j--)
        {
            if(dp[i] < dp[j - 1] + 1)
            {
                dp[i] = dp[j - 1] + 1;
            }
        }
    }
    return dp[n] == f[n];
}
void Print(int val)
{
    memset(st, -3, sizeof st);
    memset(f, -3, sizeof f);
    f[0] = 0;
    for(int i=1; i<=n; i++)
    {
        update(1, 1, n, i, {f[i - 1], i});
        int t = id[i];
        int l = max(1, i - val + 1), r = i - a[t] + 1;
        pair<int, int> tmp = get(1, 1, n, l, r);
        f[i] = tmp.fi + 1;
        trace[i] = tmp.se;
    }
    cout << f[n] << '\n';
    int i = n;
    while(i)
    {
        cout << i - trace[i] + 1 << " ";
        for(int j=i; j>=trace[i]; j--)
            cout << id[j] << " ";
        i = trace[i] - 1;
        cout << '\n';
    }
}
void Solve()
{
    iota(id + 1, id + n + 1, 1);
    sort(id + 1, id + n + 1, [](int i, int j)
    {
        return a[i] < a[j];
    });
    memset(st, -3, sizeof st);
    memset(f, -3, sizeof f);
    f[0] = 0;
    for(int i=1; i<=n; i++)
    {
        update(1, 1, n, i, {f[i - 1], i});
        int t = id[i];
        int l = 1, r = i - a[t] + 1;
        pair<int, int> tmp = get(1, 1, n, l, r);
        f[i] = tmp.fi + 1;
    }
    int low = a[id[n]], high = max(n, a[id[n]] + 50), mid;
    while(low <= high)
    {
        mid = (low + high) / 2;
        bool ok = false;
        if(n <= 5000) ok = chk1(mid);
        else ok = chk(mid);
        if(ok) high = mid - 1;
        else low = mid + 1;
    }
    Print(low);
}
int32_t main()
{
   // freopen("x.inp", "r", stdin);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    ReadInput();
    Solve();
}

Compilation message

tea.cpp: In function 'void Print(int)':
tea.cpp:83:29: warning: 'void* memset(void*, int, size_t)' writing to an object of type 'struct std::pair<int, int>' with no trivial copy-assignment [-Wclass-memaccess]
   83 |     memset(st, -3, sizeof st);
      |                             ^
In file included from /usr/include/c++/10/bits/stl_algobase.h:64,
                 from /usr/include/c++/10/bits/specfun.h:45,
                 from /usr/include/c++/10/cmath:1927,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:41,
                 from tea.cpp:3:
/usr/include/c++/10/bits/stl_pair.h:211:12: note: 'struct std::pair<int, int>' declared here
  211 |     struct pair
      |            ^~~~
tea.cpp: In function 'void Solve()':
tea.cpp:113:29: warning: 'void* memset(void*, int, size_t)' writing to an object of type 'struct std::pair<int, int>' with no trivial copy-assignment [-Wclass-memaccess]
  113 |     memset(st, -3, sizeof st);
      |                             ^
In file included from /usr/include/c++/10/bits/stl_algobase.h:64,
                 from /usr/include/c++/10/bits/specfun.h:45,
                 from /usr/include/c++/10/cmath:1927,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:41,
                 from tea.cpp:3:
/usr/include/c++/10/bits/stl_pair.h:211:12: note: 'struct std::pair<int, int>' declared here
  211 |     struct pair
      |            ^~~~
# Verdict Execution time Memory Grader output
1 Correct 19 ms 39380 KB Output is correct
2 Correct 18 ms 39436 KB Output is correct
3 Correct 19 ms 39380 KB Output is correct
4 Correct 18 ms 39448 KB Output is correct
5 Correct 19 ms 39496 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 39452 KB Output is correct
2 Correct 19 ms 39376 KB Output is correct
3 Correct 21 ms 39380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 39440 KB Output is correct
2 Correct 20 ms 39452 KB Output is correct
3 Correct 20 ms 39484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 47 ms 39508 KB Output is correct
2 Correct 47 ms 39544 KB Output is correct
3 Correct 49 ms 39528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 56 ms 39508 KB Output is correct
2 Correct 58 ms 39544 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 109 ms 41100 KB Output is correct
2 Correct 104 ms 41004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 130 ms 41592 KB Output is correct
2 Correct 105 ms 40880 KB Output is correct
3 Correct 134 ms 41160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1025 ms 53596 KB Output is correct
2 Correct 1080 ms 53592 KB Output is correct
3 Correct 1169 ms 53648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1523 ms 58252 KB Output is correct
2 Correct 1273 ms 61520 KB Output is correct
3 Correct 1300 ms 58372 KB Output is correct
4 Correct 1409 ms 56112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1183 ms 60140 KB Output is correct
2 Correct 470 ms 58124 KB Output is correct
3 Correct 1311 ms 58360 KB Output is correct
4 Correct 1689 ms 58420 KB Output is correct