oj.uz

Submission #770417

# Submission time Handle Problem Language Result Execution time Memory
770417 2023-07-01T07:38:40 Z GrindMachine The Kingdom of JOIOI (JOI17_joioi) C++17
15 / 100
 1186 ms 127952 KB 
// Om Namah Shivaya

#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) 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 + 7;
const int N = 2e3 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

ll n,m;
ll a[N][N], pmn[N][N], pmx[N][N], smn[N][N], smx[N][N];
ll ans = inf2;
vector<ll> lens;

void go(ll i, ll prev_len, ll mnl, ll mxl, ll mnr, ll mxr){
    if(i > n){
        ll val = max(mxl-mnl, mxr-mnr);
        amin(ans,val);
        // if(val == 19){
        //     debug(lens);
        // }
        return;
    }

    rep(j,m+1){
        if(j < prev_len) conts;
        ll mn1 = inf2, mx1 = -inf2;
        ll mn2 = inf2, mx2 = -inf2;
        rep1(k,m){
            if(k <= j){
                amin(mn1,a[i][k]);
                amax(mx1,a[i][k]);
            }
            else{
                amin(mn2,a[i][k]);
                amax(mx2,a[i][k]);
            }
        }

        lens.pb(j);
        go(i+1, j, min(mnl,mn1), max(mxl,mx1), min(mnr,mn2), max(mxr,mx2));
        lens.pop_back();
    }
}

void solve(int test_case)
{
    cin >> n >> m;
    rep1(i,n) rep1(j,m) cin >> a[i][j];

    memset(pmn,0x10,sizeof pmn);
    memset(smn,0x10,sizeof smn);
    memset(pmx,-0x10,sizeof pmx);
    memset(smx,-0x10,sizeof smx);

    rep1(i,n){
        rep1(j,m){
            pmn[i][j] = min(pmn[i][j-1], a[i][j]);
            pmx[i][j] = max(pmx[i][j-1], a[i][j]);
        }
        rev(j,m,1){
            smn[i][j] = min(smn[i][j+1], a[i][j]);
            smx[i][j] = max(smx[i][j+1], a[i][j]);
        }
    }

    vector<ll> b;
    rep1(i,n){
        rep1(j,m){
            b.pb(a[i][j]);
        }
    }

    sort(all(b));
    b.resize(unique(all(b))-b.begin());

    auto get = [&](ll mn, ll mx){
        ll other_diff = inf2;

        // dec
        {
            ll prev_len = inf2;
            ll other_mn = inf2, other_mx = -inf2;

            rep1(i,n){
                ll len = 0;
                ll l = 1, r = n;
                
                while(l <= r){
                    ll mid = (l+r) >> 1;
                    if(pmn[i][mid] >= mn and pmx[i][mid] <= mx){
                        len = mid;
                        l = mid+1;
                    }
                    else{
                        r = mid-1;
                    }
                }

                amin(len,prev_len);
                prev_len = len;

                amin(other_mn, smn[i][len+1]);
                amax(other_mx, smx[i][len+1]);
            }

            amin(other_diff, other_mx-other_mn);
        }

        // inc
        {
            ll prev_len = inf2;
            ll other_mn = inf2, other_mx = -inf2;

            rev(i,n,1){
                ll len = 0;
                ll l = 1, r = n;
                
                while(l <= r){
                    ll mid = (l+r) >> 1;
                    if(pmn[i][mid] >= mn and pmx[i][mid] <= mx){
                        len = mid;
                        l = mid+1;
                    }
                    else{
                        r = mid-1;
                    }
                }

                amin(len,prev_len);
                prev_len = len;

                amin(other_mn, smn[i][len+1]);
                amax(other_mx, smx[i][len+1]);
            }

            amin(other_diff, other_mx-other_mn);
        }

        return other_diff;
    };

    ll ans = inf2;
    ll ptr = 0;

    rep(ind,sz(b)){
        ptr -= 5;
        amax(ptr,(ll) ind);

        while(ptr < sz(b)){
            ll res = get(b[ind], b[ptr]);
            ll val = max(b[ptr]-b[ind], res);
            amin(ans,val);
            if(res <= b[ptr]-b[ind]){
                break;
            }
            ptr++;
        }
    }

    cout << ans << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Compilation message

joioi.cpp: In function 'void solve(int)':
joioi.cpp:30:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   30 | #define rep(i, n) for(int i = 0; i < n; ++i)
      |                                    ^
joioi.cpp:198:5: note: in expansion of macro 'rep'
  198 |     rep(ind,sz(b)){
      |     ^~~
joioi.cpp:202:19: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  202 |         while(ptr < sz(b)){
      |                   ^

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 126156 KB Output is correct
2 Correct 43 ms 126188 KB Output is correct
3 Correct 43 ms 126168 KB Output is correct
4 Correct 48 ms 126208 KB Output is correct
5 Correct 45 ms 126108 KB Output is correct
6 Correct 44 ms 126160 KB Output is correct
7 Correct 44 ms 126156 KB Output is correct
8 Correct 44 ms 126168 KB Output is correct
9 Correct 45 ms 126232 KB Output is correct
10 Correct 49 ms 126228 KB Output is correct
11 Correct 45 ms 126232 KB Output is correct
12 Correct 48 ms 126128 KB Output is correct
13 Correct 53 ms 126160 KB Output is correct
14 Correct 45 ms 126204 KB Output is correct

Subtask #2
0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 126156 KB Output is correct
2 Correct 43 ms 126188 KB Output is correct
3 Correct 43 ms 126168 KB Output is correct
4 Correct 48 ms 126208 KB Output is correct
5 Correct 45 ms 126108 KB Output is correct
6 Correct 44 ms 126160 KB Output is correct
7 Correct 44 ms 126156 KB Output is correct
8 Correct 44 ms 126168 KB Output is correct
9 Correct 45 ms 126232 KB Output is correct
10 Correct 49 ms 126228 KB Output is correct
11 Correct 45 ms 126232 KB Output is correct
12 Correct 48 ms 126128 KB Output is correct
13 Correct 53 ms 126160 KB Output is correct
14 Correct 45 ms 126204 KB Output is correct
15 Correct 43 ms 126292 KB Output is correct
16 Correct 48 ms 127824 KB Output is correct
17 Correct 1016 ms 127924 KB Output is correct
18 Correct 962 ms 127952 KB Output is correct
19 Correct 1186 ms 127840 KB Output is correct
20 Incorrect 823 ms 127820 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 126156 KB Output is correct
2 Correct 43 ms 126188 KB Output is correct
3 Correct 43 ms 126168 KB Output is correct
4 Correct 48 ms 126208 KB Output is correct
5 Correct 45 ms 126108 KB Output is correct
6 Correct 44 ms 126160 KB Output is correct
7 Correct 44 ms 126156 KB Output is correct
8 Correct 44 ms 126168 KB Output is correct
9 Correct 45 ms 126232 KB Output is correct
10 Correct 49 ms 126228 KB Output is correct
11 Correct 45 ms 126232 KB Output is correct
12 Correct 48 ms 126128 KB Output is correct
13 Correct 53 ms 126160 KB Output is correct
14 Correct 45 ms 126204 KB Output is correct
15 Correct 43 ms 126292 KB Output is correct
16 Correct 48 ms 127824 KB Output is correct
17 Correct 1016 ms 127924 KB Output is correct
18 Correct 962 ms 127952 KB Output is correct
19 Correct 1186 ms 127840 KB Output is correct
20 Incorrect 823 ms 127820 KB Output isn't correct
21 Halted 0 ms 0 KB -