Submission #1082894

#	Time	Username	Problem	Language	Result	Execution time	Memory
1082894		_callmelucian	Measures (CEOI22_measures)	C++14	59 / 100	1573 ms	35032 KiB

Main

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

struct IT {
    vector<ll> hi, lo, lazy;
    IT (int sz) : hi(4 * sz), lo(4 * sz), lazy(4 * sz) {}

    ll addLo (ll a, ll b) {
        return (min(a, b) == LLONG_MIN || max(a, b) == LLONG_MAX ? LLONG_MAX : a + b);
    }

    ll addHi (ll a, ll b) {
        return (min(a, b) == LLONG_MIN || max(a, b) == LLONG_MAX ? LLONG_MIN : a + b);
    }

    ll getHi (int k) { return addHi(hi[k], lazy[k]); }

    ll getLo (int k) { return addLo(lo[k], lazy[k]); }

    void refine (int k) {
        hi[k] = max(getHi(2 * k), getHi(2 * k + 1));
        lo[k] = min(getLo(2 * k), getLo(2 * k + 1));
    }

    void pushDown (int k) {
        lazy[2 * k] = addHi(lazy[2 * k], lazy[k]), lazy[2 * k + 1] = addHi(lazy[2 * k + 1], lazy[k]);
        lazy[k] = 0, refine(k);
    }

    void update (int a, int b, ll incr, int k, int l, int r) {
        if (b < l || r < a) return;
        if (a <= l && r <= b) {
            lazy[k] = addHi(lazy[k], incr);
            return;
        }
        pushDown(k);
        int mid = (l + r) >> 1;
        update(a, b, incr, 2 * k, l, mid);
        update(a, b, incr, 2 * k + 1, mid + 1, r);
        refine(k);
    }

    ll query (int a, int b, int k, int l, int r) {
        if (b < l || r < a) return LLONG_MIN;
        if (a <= l && r <= b) return getHi(k);
        pushDown(k);
        int mid = (l + r) >> 1;
        return max(query(a, b, 2 * k, l, mid), query(a, b, 2 * k + 1, mid + 1, r));
    }

    int walk (ll targ, int k, int l, int r) {
        if (l == r) return l;
        pushDown(k);
        int mid = (l + r) >> 1;
        if (getLo(2 * k) < targ) return walk(targ, 2 * k, l, mid);
        return walk(targ, 2 * k + 1, mid + 1, r);
    }

    int findID (int a, int b, ll targ, int k, int l, int r) {
        if (b < l || r < a) return INT_MAX;
        if (a <= l && r <= b)
            return (getLo(k) < targ ? walk(targ, k, l, r) : INT_MAX);
        pushDown(k);
        int mid = (l + r) >> 1;
        int cur = findID(a, b, targ, 2 * k, l, mid);
        return (cur < INT_MAX ? cur : findID(a, b, targ, 2 * k + 1, mid + 1, r));
    }

    ll access (int pos, int k, int l, int r) {
        if (l == r) return getLo(k);
        int mid = (l + r) >> 1;
        if (pos <= mid)
            return addLo(lazy[k], access(pos, 2 * k, l, mid));
        return addLo(lazy[k], access(pos, 2 * k + 1, mid + 1, r));
    }

    void build (vector<ll> &a, int k, int l, int r) {
        if (l == r) {
            hi[k] = lo[k] = a[l];
            return;
        }
        int mid = (l + r) >> 1;
        build(a, 2 * k, l, mid);
        build(a, 2 * k + 1, mid + 1, r);
        refine(k);
    }
};

const int mn = 2e5 + 50;
int st[mn], nxt[mn], prv[mn];

bool ok (vector<pl> vec, ll D, ll mov) {
    ll last = LLONG_MIN;
    for (pl it : vec) {
        ll init = it.first, cur = max(init - mov, last + D);
        if (cur > init + mov) return 0;
        last = cur;
    }
    return 1;
}

ll solve (vector<pl> vec, ll D) {
    if (ok(vec, D, 0)) return 0;
    ll ans = 0;
    for (ll msk = (1LL << 60); msk > 0; msk >>= 1)
        if (!ok(vec, D, ans | msk)) ans |= msk;
    return ans + 1;
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    int n, m, D; cin >> n >> m >> D; D *= 2;
    vector<pl> vec(n + m);

    for (int i = 0; i < n + m; i++) {
        cin >> st[i]; st[i] *= 2;
        vec[i] = {st[i], i}, nxt[i] = i + 1, prv[i] = i - 1;
    }
    prv[n + m] = n + m - 1;
    sort(all(vec));
    ll curAns = solve(vec, D), last = LLONG_MIN;

    function<int(int)> getID = [&] (int initID) {
        return lower_bound(all(vec), make_pair((ll)st[initID], (ll)initID)) - vec.begin();
    };

    vector<ll> a(n + m);
    for (int i = 0; i < n + m; i++) {
        ll init = vec[i].first, cur = max(init - curAns, last + D);
        a[i] = cur - init, last = cur;
    }
    IT tree(n + m); tree.build(a, 1, 0, n + m - 1);

    vector<ll> ans;
    for (int i = n + m - 1; i >= n; i--) {
        ans.push_back(curAns);

        int cur = getID(i);
        tree.update(cur, cur, LLONG_MIN, 1, 0, n + m - 1);

        if (prv[cur] >= 0) nxt[prv[cur]] = nxt[cur];
        prv[nxt[cur]] = prv[cur];

        if (nxt[cur] < n + m) {
            int tmp = nxt[cur];
            while (tmp < n + m) {
                ll goCur = tree.access(tmp, 1, 0, n + m - 1), pos = vec[tmp].first + goCur;
                ll gap = goCur + curAns;

                if (prv[tmp] >= 0) {
                    ll posL = vec[prv[tmp]].first + tree.access(prv[tmp], 1, 0, n + m - 1);
                    gap = min(gap, pos - posL - D);
                }
                if (!gap) break;

                int bound = prv[min(n + m, tree.findID(tmp, n + m - 1, goCur, 1, 0, n + m - 1))];
                tree.update(tmp, bound, -gap, 1, 0, n + m - 1);
                tmp = nxt[bound];
            }
        }

        ll decrAns = min(curAns, (curAns - tree.getHi(1)) / 2LL);
        tree.update(0, n + m - 1, decrAns, 1, 0, n + m - 1);
        curAns -= decrAns;
    }

    reverse(all(ans));
    for (ll u : ans)
        cout << u / 2 << (u % 2 ? ".5 " : " ");

    return 0;
}

• Subtask 1: 10 / 10
• Subtask 2: 14 / 14
• Subtask 3: 35 / 35
• Subtask 4: 0 / 41