oj.uz

Submission #969551

# Submission time Handle Problem Language Result Execution time Memory
969551 2024-04-25T09:52:51 Z GrindMachine Gondola (IOI14_gondola) C++17
100 / 100
 60 ms 6740 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*



*/

const int MOD = 1e9 + 9;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

#include "gondola.h"

int valid(int n, int a[])
{
    rep(i,n) a[i]--;
    
    set<int> st;
    rep(i,n){
        if(st.count(a[i])){
            return 0;
        }
        st.insert(a[i]);
    }

    int val = -1;
    rep(i,n){
        if(val != -1){
            val = (val+1)%n;
        }

        if(a[i] >= n) conts;

        if(val == -1){
            val = a[i];
        }
        else{
            if(a[i] != val){
                return 0;
            }
        }
    }

    return 1;
}

//----------------------

int replacement(int n, int a[], int ans[])
{
    rep(i,n) a[i]--;
    int m = *max_element(a,a+n);
    int b[n];
    rep(i,n) b[i] = a[i];

    rep(i,n){
        if(a[i] < n){
            b[a[i]] = a[i];
            int ptr = (a[i]+1)%n;

            for(int j = (i+1)%n; j != i; j = (j+1)%n){
                b[ptr] = a[j];
                ptr = (ptr+1)%n;
            }

            break;
        }
    }

    rep(i,n) a[i] = b[i];

    vector<int> pos(m+5,-1);
    rep(i,n) pos[a[i]] = i;

    rep(i,n) b[i] = i;
    set<int> st;
    rep(i,n){
        if(b[i] != a[i]){
            st.insert(i);
        }
    }

    int siz = 0;

    for(int x = n; x <= m; ++x){
        if(pos[x] != -1){
            int i = pos[x];
            assert(st.count(i));
            st.erase(i);
            ans[siz++] = b[i];
            b[i] = x;
        }
        else{
            assert(!st.empty());
            int i = *st.begin();
            ans[siz++] = b[i];
            b[i] = x;
        }
    }

    rep(i,n) assert(a[i] == b[i]);

    rep(i,siz) ans[i]++;
    return siz;
}

//----------------------


ll bexp(ll a, ll b) {
    if (a == 0) return 1;

    ll res = 1;

    while (b) {
        if (b & 1) res = res * a % MOD;
        a = a * a % MOD;
        b >>= 1;
    }

    return res;
}

int countReplacement(int n, int a[])
{
    if(!valid(n,a)){
        return 0;
    }

    int m = *max_element(a,a+n);
    int b[n];
    rep(i,n) b[i] = a[i];

    rep(i,n){
        if(a[i] < n){
            b[a[i]] = a[i];
            int ptr = (a[i]+1)%n;

            for(int j = (i+1)%n; j != i; j = (j+1)%n){
                b[ptr] = a[j];
                ptr = (ptr+1)%n;
            }

            break;
        }
    }

    rep(i,n) a[i] = b[i];

    set<int> there;
    rep(i,n){
        if(a[i] >= n){
            there.insert(a[i]);
        }
    }

    vector<int> c(all(there));
    ll ans = 1;

    if(!c.empty()){
        ans = bexp(sz(c),c[0]-n);
    }

    ll siz = sz(c);

    rep(i,sz(c)-1){
        siz--;
        ans = ans*bexp(siz,c[i+1]-c[i]-1)%MOD;
    }

    bool all_big = true;
    rep(i,n){
        if(a[i] < n){
            all_big = false;
        }
    }

    if(all_big){
        ans = ans*n%MOD;
    }

    return ans;
}

Compilation message

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:178:9: warning: unused variable 'm' [-Wunused-variable]
  178 |     int m = *max_element(a,a+n);
      |         ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 10 ms 2140 KB Output is correct
7 Correct 8 ms 604 KB Output is correct
8 Correct 20 ms 3932 KB Output is correct
9 Correct 6 ms 1372 KB Output is correct
10 Correct 24 ms 4436 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 11 ms 2140 KB Output is correct
7 Correct 7 ms 604 KB Output is correct
8 Correct 20 ms 4060 KB Output is correct
9 Correct 6 ms 1368 KB Output is correct
10 Correct 24 ms 4488 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 12 ms 2140 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 30 ms 4704 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 420 KB Output is correct
5 Correct 0 ms 344 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 436 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 436 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 7 ms 1372 KB Output is correct
12 Correct 8 ms 1372 KB Output is correct
13 Correct 21 ms 2748 KB Output is correct
14 Correct 7 ms 1116 KB Output is correct
15 Correct 25 ms 3052 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 41 ms 4544 KB Output is correct
10 Correct 32 ms 3932 KB Output is correct
11 Correct 11 ms 1624 KB Output is correct
12 Correct 15 ms 1884 KB Output is correct
13 Correct 3 ms 604 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 532 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 45 ms 4464 KB Output is correct
10 Correct 31 ms 3696 KB Output is correct
11 Correct 12 ms 1628 KB Output is correct
12 Correct 15 ms 1884 KB Output is correct
13 Correct 3 ms 604 KB Output is correct
14 Correct 52 ms 6060 KB Output is correct
15 Correct 60 ms 6740 KB Output is correct
16 Correct 9 ms 1624 KB Output is correct
17 Correct 38 ms 4700 KB Output is correct
18 Correct 20 ms 2640 KB Output is correct