Submission #985563

#TimeUsernameProblemLanguageResultExecution timeMemory
985563maomao90Ski 2 (JOI24_ski2)C++17
0 / 100
2092 ms220224 KiB

// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h> 
using namespace std;

#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;

#ifndef DEBUG
#define cerr if (0) cerr
#endif

const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 305;

int n, m;
ii hc[MAXN];
int lst[MAXN], mnc[MAXN];
map<int, vi> mp;
map<int, int> id;
vi vh;
ll dp[MAXN][MAXN][MAXN];

ll solve() {
    mp.clear();
    id.clear();
    vh.clear();
    REP (i, 1, n + 1) {
        mp[hc[i].FI].pb(hc[i].SE);
    }
    sort(hc + 1, hc + n + 1);
    RREP (i, n, 1) {
        if (hc[i + 1].FI == hc[i].FI) {
            lst[i] = lst[i + 1];
        } else {
            lst[i] = i;
        }
    }
    mnc[0] = INF;
    REP (i, 1, n + 1) {
        mnc[i] = min(mnc[i - 1], hc[i].SE);
    }
    REP (i, 1, n + 1) {
        cerr << hc[i].FI << ' ' << hc[i].SE << ' ' << mnc[i] << '\n';
    }
    int rht = 0;
    for (auto [h, v] : mp) {
        mxto(rht, h);
        rht += SZ(v);
        for (int i = h; i < rht; i++) {
            vh.pb(i);
        }
    }
    vh.pb(-1);
    sort(ALL(vh));
    vh.erase(unique(ALL(vh)), vh.end());
    REP (i, 1, SZ(vh)) {
        id[vh[i]] = i;
    }
    REP (i, 0, n + 1) {
        REP (j, 0, n + 1) {
            REP (k, 0, SZ(vh)) {
                dp[i][j][k] = LINF;
            }
        }
    }
    dp[1][1][1] = 0;
    REP (i, 1, n + 1) {
        REP (j, 1, i + 1) {
            REP (k, 1, SZ(vh)) {
                if (dp[i][j][k] == LINF) {
                    continue;
                }
                cerr << i << ' ' << j << ' ' << vh[k] << ": " << dp[i][j][k] << '\n';
                int nk = max(k + 1, id[hc[i + 1].FI]);
                ll w = 0;
                REP (l, 1, j + 1) {
                    if (i + l > n || vh[nk] < hc[i + l].FI) {
                        continue;
                    }
                    w += (ll) (vh[nk] - hc[i + l].FI) * m;
                    mnto(dp[i + l][j][nk], dp[i][j][k] + w);
                }
                /*
                int ni = min(i + j, lst[i + 1]),
                    nk = max(k + 1, id[hc[i + 1].FI]);
                mnto(dp[i + j][j][nk], dp[i][j][k] + (ni - i) * 
                        (vh[nk] - hc[i + 1].FI) * m);
                */
                if (i > 1) {
                    mnto(dp[i + 1][j + 1][k], dp[i][j][k] + mnc[i - j] +
                            (ll) max(0, vh[k] - hc[i + 1].FI) * m);
                }
            }
        }
    }
    ll ans = LINF;
    REP (j, 1, n + 1) {
        REP (k, 1, SZ(vh)) {
            mnto(ans, dp[n][j][k]);
        }
    }
    return ans;
}

int main() {
#ifndef DEBUG
    ios::sync_with_stdio(0), cin.tie(0);
#endif
    cin >> n >> m;
    REP (i, 1, n + 1) {
        cin >> hc[i].FI >> hc[i].SE;
    }
    sort(hc + 1, hc + n + 1);
    lst[n + 1] = n + 1;
    hc[n + 1].FI = INF;
    ll ans = LINF;
    ll res = 0;
    REP (i, 1, n + 1) {
        REP (j, 1, i) {
            res += (ll) (hc[i].FI - hc[j].FI) * m;
            hc[j].FI = hc[i].FI;
        }
        mnto(ans, res + solve());
    }
    cout << ans << '\n';
    return 0;
}
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