oj.uz

Submission #770436

# Submission time Handle Problem Language Result Execution time Memory
770436 2023-07-01T08:01:54 Z GrindMachine The Kingdom of JOIOI (JOI17_joioi) C++17
60 / 100
 4000 ms 188940 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
 
/*
 
refs:
stress tested to identify the bug: https://oj.uz/submission/767335
didnt set the bounds for the binary search properly (wrote n instead of m)

*/

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 = m;
                
                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 = m;
                
                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)){
        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:200:5: note: in expansion of macro 'rep'
  200 |     rep(ind,sz(b)){
      |     ^~~
joioi.cpp:203:19: 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]
  203 |         while(ptr < sz(b)){
      |                   ^

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 126096 KB Output is correct
2 Correct 51 ms 126184 KB Output is correct
3 Correct 45 ms 126140 KB Output is correct
4 Correct 45 ms 126132 KB Output is correct
5 Correct 45 ms 126156 KB Output is correct
6 Correct 45 ms 126160 KB Output is correct
7 Correct 45 ms 126124 KB Output is correct
8 Correct 47 ms 126284 KB Output is correct
9 Correct 46 ms 126168 KB Output is correct
10 Correct 44 ms 126156 KB Output is correct
11 Correct 45 ms 126128 KB Output is correct
12 Correct 44 ms 126192 KB Output is correct
13 Correct 45 ms 126188 KB Output is correct
14 Correct 44 ms 126144 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 126096 KB Output is correct
2 Correct 51 ms 126184 KB Output is correct
3 Correct 45 ms 126140 KB Output is correct
4 Correct 45 ms 126132 KB Output is correct
5 Correct 45 ms 126156 KB Output is correct
6 Correct 45 ms 126160 KB Output is correct
7 Correct 45 ms 126124 KB Output is correct
8 Correct 47 ms 126284 KB Output is correct
9 Correct 46 ms 126168 KB Output is correct
10 Correct 44 ms 126156 KB Output is correct
11 Correct 45 ms 126128 KB Output is correct
12 Correct 44 ms 126192 KB Output is correct
13 Correct 45 ms 126188 KB Output is correct
14 Correct 44 ms 126144 KB Output is correct
15 Correct 45 ms 126284 KB Output is correct
16 Correct 47 ms 127876 KB Output is correct
17 Correct 279 ms 127952 KB Output is correct
18 Correct 284 ms 127956 KB Output is correct
19 Correct 325 ms 127888 KB Output is correct
20 Correct 242 ms 127788 KB Output is correct
21 Correct 289 ms 127948 KB Output is correct
22 Correct 352 ms 127892 KB Output is correct
23 Correct 367 ms 127892 KB Output is correct
24 Correct 230 ms 127728 KB Output is correct
25 Correct 312 ms 127952 KB Output is correct
26 Correct 302 ms 127952 KB Output is correct
27 Correct 294 ms 127888 KB Output is correct
28 Correct 303 ms 127960 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 126096 KB Output is correct
2 Correct 51 ms 126184 KB Output is correct
3 Correct 45 ms 126140 KB Output is correct
4 Correct 45 ms 126132 KB Output is correct
5 Correct 45 ms 126156 KB Output is correct
6 Correct 45 ms 126160 KB Output is correct
7 Correct 45 ms 126124 KB Output is correct
8 Correct 47 ms 126284 KB Output is correct
9 Correct 46 ms 126168 KB Output is correct
10 Correct 44 ms 126156 KB Output is correct
11 Correct 45 ms 126128 KB Output is correct
12 Correct 44 ms 126192 KB Output is correct
13 Correct 45 ms 126188 KB Output is correct
14 Correct 44 ms 126144 KB Output is correct
15 Correct 45 ms 126284 KB Output is correct
16 Correct 47 ms 127876 KB Output is correct
17 Correct 279 ms 127952 KB Output is correct
18 Correct 284 ms 127956 KB Output is correct
19 Correct 325 ms 127888 KB Output is correct
20 Correct 242 ms 127788 KB Output is correct
21 Correct 289 ms 127948 KB Output is correct
22 Correct 352 ms 127892 KB Output is correct
23 Correct 367 ms 127892 KB Output is correct
24 Correct 230 ms 127728 KB Output is correct
25 Correct 312 ms 127952 KB Output is correct
26 Correct 302 ms 127952 KB Output is correct
27 Correct 294 ms 127888 KB Output is correct
28 Correct 303 ms 127960 KB Output is correct
29 Execution timed out 4086 ms 188940 KB Time limit exceeded
30 Halted 0 ms 0 KB -