oj.uz

Submission #770433

# Submission time Handle Problem Language Result Execution time Memory
770433 2023-07-01T08:00:41 Z GrindMachine The Kingdom of JOIOI (JOI17_joioi) C++17
60 / 100
 4000 ms 211004 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
 
*/
 
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)){
        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:199:5: note: in expansion of macro 'rep'
  199 |     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 43 ms 126156 KB Output is correct
2 Correct 42 ms 126172 KB Output is correct
3 Correct 42 ms 126168 KB Output is correct
4 Correct 44 ms 126156 KB Output is correct
5 Correct 43 ms 126116 KB Output is correct
6 Correct 43 ms 126156 KB Output is correct
7 Correct 43 ms 126236 KB Output is correct
8 Correct 48 ms 126108 KB Output is correct
9 Correct 44 ms 126120 KB Output is correct
10 Correct 49 ms 126232 KB Output is correct
11 Correct 43 ms 126116 KB Output is correct
12 Correct 44 ms 126152 KB Output is correct
13 Correct 42 ms 126160 KB Output is correct
14 Correct 43 ms 126216 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 126156 KB Output is correct
2 Correct 42 ms 126172 KB Output is correct
3 Correct 42 ms 126168 KB Output is correct
4 Correct 44 ms 126156 KB Output is correct
5 Correct 43 ms 126116 KB Output is correct
6 Correct 43 ms 126156 KB Output is correct
7 Correct 43 ms 126236 KB Output is correct
8 Correct 48 ms 126108 KB Output is correct
9 Correct 44 ms 126120 KB Output is correct
10 Correct 49 ms 126232 KB Output is correct
11 Correct 43 ms 126116 KB Output is correct
12 Correct 44 ms 126152 KB Output is correct
13 Correct 42 ms 126160 KB Output is correct
14 Correct 43 ms 126216 KB Output is correct
15 Correct 44 ms 126284 KB Output is correct
16 Correct 46 ms 127808 KB Output is correct
17 Correct 1002 ms 127944 KB Output is correct
18 Correct 1014 ms 128036 KB Output is correct
19 Correct 1167 ms 127844 KB Output is correct
20 Correct 828 ms 127784 KB Output is correct
21 Correct 1064 ms 128264 KB Output is correct
22 Correct 1205 ms 128332 KB Output is correct
23 Correct 1316 ms 128336 KB Output is correct
24 Correct 764 ms 128152 KB Output is correct
25 Correct 1138 ms 128284 KB Output is correct
26 Correct 1046 ms 128336 KB Output is correct
27 Correct 1010 ms 128320 KB Output is correct
28 Correct 1083 ms 128336 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 126156 KB Output is correct
2 Correct 42 ms 126172 KB Output is correct
3 Correct 42 ms 126168 KB Output is correct
4 Correct 44 ms 126156 KB Output is correct
5 Correct 43 ms 126116 KB Output is correct
6 Correct 43 ms 126156 KB Output is correct
7 Correct 43 ms 126236 KB Output is correct
8 Correct 48 ms 126108 KB Output is correct
9 Correct 44 ms 126120 KB Output is correct
10 Correct 49 ms 126232 KB Output is correct
11 Correct 43 ms 126116 KB Output is correct
12 Correct 44 ms 126152 KB Output is correct
13 Correct 42 ms 126160 KB Output is correct
14 Correct 43 ms 126216 KB Output is correct
15 Correct 44 ms 126284 KB Output is correct
16 Correct 46 ms 127808 KB Output is correct
17 Correct 1002 ms 127944 KB Output is correct
18 Correct 1014 ms 128036 KB Output is correct
19 Correct 1167 ms 127844 KB Output is correct
20 Correct 828 ms 127784 KB Output is correct
21 Correct 1064 ms 128264 KB Output is correct
22 Correct 1205 ms 128332 KB Output is correct
23 Correct 1316 ms 128336 KB Output is correct
24 Correct 764 ms 128152 KB Output is correct
25 Correct 1138 ms 128284 KB Output is correct
26 Correct 1046 ms 128336 KB Output is correct
27 Correct 1010 ms 128320 KB Output is correct
28 Correct 1083 ms 128336 KB Output is correct
29 Execution timed out 4038 ms 211004 KB Time limit exceeded
30 Halted 0 ms 0 KB -