Submission #1160049

#TimeUsernameProblemLanguageResultExecution timeMemory
1160049InvMODColouring a rectangle (eJOI19_colouring)C++20
50 / 100
2092 ms10128 KiB
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define gcd __gcd
#define sz(v) (int) v.size()
#define pb push_back
#define pi pair<int,int>
#define all(v) (v).begin(), (v).end()
#define compact(v) (v).erase(unique(all(v)), (v).end())
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define REV(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x) "[" #x " = " << (x) << "]"
///#define int long long

using ll = long long;
using ld = long double;
using ull = unsigned long long;

template<typename T> bool ckmx(T& a, const T& b){if(a < b) return a = b, true; return false;}
template<typename T> bool ckmn(T& a, const T& b){if(a > b) return a = b, true; return false;}

const int N = 2e5+5;
const ll MOD = 1e9+7;
const ll INF = 1e18;

struct Item{
    int l, r; ll c;
    Item(int l = -1, int r = -1, ll c = 0): l(l), r(r), c(c) {}
};

ll n, m, val[2][N], dp[2][N], pref[N];

vector<Item> cross[2];

ll calc_dp(vector<Item>& cross, ll val[], ll dp[]){
    FOR(i, 1, n + m - 1){
        pref[i] = val[i];
        pref[i] += pref[i - 1];
    }

    ll answer = pref[n + m - 1];
    FOR(i, 1, n + m - 1){
        ll sum = 0;

        vector<ll> lazy(n + m + 2);
        FOR(j, 1, sz(cross) - 1){
            if(cross[j].l <= i && i <= cross[j].r){
                sum += cross[j].c;
                lazy[1] += cross[j].c;
                lazy[cross[j].l] -= cross[j].c;
                // dp[l] already has cross[j].c
            }
        }

        dp[i] = sum + pref[i - 1];
        FOR(j, 1, i - 1){
            dp[i] = min(dp[i], dp[j] + lazy[j] +
                                pref[i - 1] - pref[j]);
            lazy[j + 1] += lazy[j];
        }
        //cout << dp[i] <<" ";

        answer = min(answer, dp[i] + pref[n + m - 1] - pref[i]);
    }
    //cout << pref[n + m - 1] << "\n";

    //cout << "END DP\n";
    return answer;
}

void solve()
{
    cin >> m >> n;

    cross[0].push_back(Item());
    cross[1].push_back(Item());

    FOR(i, 1, m + n - 1){
        int l,r;

        if(i <= n){
            l = n - i + 1;
        }
        else l = i - n + 1;
        if(i <= m){
            r = n + i - 1;
        }
        else r = n + m - 1 - (i - m);

        int cur_w; cin >> cur_w;
        cross[(i & 1)].push_back(Item(l, r, cur_w));
    }

    FOR(i, 1, m + n - 1){
        int cur_w; cin >> cur_w;
        if((i & 1) == (n & 1)){
            val[1][i] = cur_w;
        }
        else val[0][i] = cur_w;
    }

    ll answer = calc_dp(cross[1], val[1], dp[1]) + calc_dp(cross[0], val[0], dp[0]);
    //cout << calc_dp(cross[1], val[1], dp[1]) << "\n";
    //cout << calc_dp(cross[0], val[0], dp[0]) << "\n";

    cout << answer << "\n";
}

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    #define name "InvMOD"
    if(fopen(name".INP", "r")){
        freopen(name".INP","r",stdin);
        freopen(name".OUT","w",stdout);
    }

    int t = 1; //cin >> t;
    while(t--) solve();
    return 0;
}

/* Test
Input:
4 3
5 3 4 3 5 3
5 2 5 2 4 2
Output: 19

Input:
3 3
4 1 2 2 3
4 1 2 1 4
Output: 6
*/

Compilation message (stderr)

colouring.cpp: In function 'int main()':
colouring.cpp:119:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  119 |         freopen(name".INP","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
colouring.cpp:120:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  120 |         freopen(name".OUT","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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