Submission #1107943

# Submission time Handle Problem Language Result Execution time Memory
1107943 2024-11-02T12:15:31 Z sleepntsheep Nile (IOI24_nile) C++17
100 / 100
146 ms 19136 KB
#include "nile.h"
#include <vector>
#include <array>
#include <set>
#include <tuple>
#include <algorithm>

using namespace std;
using ll = long long;

vector<ll> calculate_costs(vector<int> W, vector<int> A,
                                       vector<int> B, vector<int> E) {
    vector<tuple<int, int, int> > a;
    int n = (int)W.size(), q = (int)E.size();

    for (int i = 0; i < n; ++i) a.emplace_back(W[i], A[i], B[i]);
    sort(a.begin(), a.end());
    for (int i = 0; i < n; ++i) tie(W[i], A[i], B[i]) = a[i];

    ll base = 0, added = 0;
    for (int i = 0; i < n; ++i) base += B[i];

    vector<pair<int, int> > gap1, gap2;

    for (int i = 1; i < n; ++i) gap1.emplace_back(W[i] - W[i - 1], i - 1);
    for (int i = 2; i < n; ++i) gap2.emplace_back(W[i] - W[i - 2], i - 2);
    sort(gap1.begin(), gap1.end(), greater<>());
    sort(gap2.begin(), gap2.end(), greater<>());

    vector<pair<int, int> > E1;
    for (int i = 0; i < q; ++i) E1.emplace_back(E[i], i);
    sort(E1.begin(), E1.end());

    vector<ll> ans(q);

    struct Blk { 
	int l, r; ll pr[2], jmp;
	bool operator<(const Blk&o) const { return r < o.r; }
	ll cost() { return (l ^ r) % 2 ? 0ll : min({jmp, pr[l & 1]}); }
    };

    set<Blk> st;

    const ll oo = 1e18;

    for (int i = 0; i < n; ++i) {
	Blk b = {i, i, {oo, oo}, oo};
	b.pr[i & 1] = A[i] - B[i];
	st.insert(b);
	added += b.cost();
    }

    for (auto [QrE, QrEi] : E1) {
	while (gap1.size() && gap1.back().first <= QrE) {
	    auto i = gap1.back().second; gap1.pop_back();
	    auto it = st.lower_bound({0, i, {0, 0}, 0}), it2 = next(it);
	    auto b = *it, bRig = *it2;
	    st.erase(it); st.erase(it2);
	    added -= b.cost() + bRig.cost();
	    b.r = bRig.r;
	    for (auto x : {0, 1}) b.pr[x] = min(b.pr[x], bRig.pr[x]);
	    b.jmp = min(b.jmp, bRig.jmp);
	    st.insert(b);
	    added += b.cost();
	}
	while (gap2.size() && gap2.back().first <= QrE) {
	    auto i = gap2.back().second; gap2.pop_back();
	    auto it = st.lower_bound({0, i, {0, 0}, 0});
	    ll cst = A[i + 1] - B[i + 1];
	    if (it->jmp > cst) {
		auto b = *it; added -= b.cost(); b.jmp = cst;
		st.erase(it); st.insert(b);
		added += b.cost();
	    }
	}
	ans[QrEi] = base + added;
    }

    return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 592 KB Output is correct
2 Correct 2 ms 488 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 62 ms 15816 KB Output is correct
2 Correct 59 ms 15808 KB Output is correct
3 Correct 54 ms 15808 KB Output is correct
4 Correct 64 ms 15808 KB Output is correct
5 Correct 56 ms 15816 KB Output is correct
6 Correct 53 ms 15808 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 55 ms 14272 KB Output is correct
2 Correct 66 ms 14528 KB Output is correct
3 Correct 84 ms 14536 KB Output is correct
4 Correct 86 ms 14496 KB Output is correct
5 Correct 79 ms 14528 KB Output is correct
6 Correct 90 ms 14528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 592 KB Output is correct
2 Correct 2 ms 488 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 2 ms 592 KB Output is correct
8 Correct 2 ms 592 KB Output is correct
9 Correct 2 ms 592 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 2 ms 592 KB Output is correct
12 Correct 2 ms 592 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 592 KB Output is correct
2 Correct 2 ms 488 KB Output is correct
3 Correct 1 ms 592 KB Output is correct
4 Correct 2 ms 592 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 62 ms 15816 KB Output is correct
8 Correct 59 ms 15808 KB Output is correct
9 Correct 54 ms 15808 KB Output is correct
10 Correct 64 ms 15808 KB Output is correct
11 Correct 56 ms 15816 KB Output is correct
12 Correct 53 ms 15808 KB Output is correct
13 Correct 55 ms 14272 KB Output is correct
14 Correct 66 ms 14528 KB Output is correct
15 Correct 84 ms 14536 KB Output is correct
16 Correct 86 ms 14496 KB Output is correct
17 Correct 79 ms 14528 KB Output is correct
18 Correct 90 ms 14528 KB Output is correct
19 Correct 2 ms 592 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 2 ms 592 KB Output is correct
22 Correct 2 ms 592 KB Output is correct
23 Correct 2 ms 592 KB Output is correct
24 Correct 2 ms 592 KB Output is correct
25 Correct 65 ms 15920 KB Output is correct
26 Correct 72 ms 16124 KB Output is correct
27 Correct 93 ms 16064 KB Output is correct
28 Correct 94 ms 16044 KB Output is correct
29 Correct 79 ms 16108 KB Output is correct
30 Correct 97 ms 16064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 55 ms 14272 KB Output is correct
2 Correct 66 ms 14528 KB Output is correct
3 Correct 84 ms 14536 KB Output is correct
4 Correct 86 ms 14496 KB Output is correct
5 Correct 79 ms 14528 KB Output is correct
6 Correct 90 ms 14528 KB Output is correct
7 Correct 79 ms 17344 KB Output is correct
8 Correct 97 ms 17600 KB Output is correct
9 Correct 123 ms 17600 KB Output is correct
10 Correct 110 ms 17572 KB Output is correct
11 Correct 111 ms 17584 KB Output is correct
12 Correct 112 ms 17448 KB Output is correct
13 Correct 125 ms 17444 KB Output is correct
14 Correct 96 ms 17320 KB Output is correct
15 Correct 125 ms 17528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 2 ms 592 KB Output is correct
3 Correct 2 ms 488 KB Output is correct
4 Correct 1 ms 592 KB Output is correct
5 Correct 2 ms 592 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 62 ms 15816 KB Output is correct
9 Correct 59 ms 15808 KB Output is correct
10 Correct 54 ms 15808 KB Output is correct
11 Correct 64 ms 15808 KB Output is correct
12 Correct 56 ms 15816 KB Output is correct
13 Correct 53 ms 15808 KB Output is correct
14 Correct 55 ms 14272 KB Output is correct
15 Correct 66 ms 14528 KB Output is correct
16 Correct 84 ms 14536 KB Output is correct
17 Correct 86 ms 14496 KB Output is correct
18 Correct 79 ms 14528 KB Output is correct
19 Correct 90 ms 14528 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 2 ms 592 KB Output is correct
22 Correct 2 ms 592 KB Output is correct
23 Correct 2 ms 592 KB Output is correct
24 Correct 2 ms 592 KB Output is correct
25 Correct 2 ms 592 KB Output is correct
26 Correct 65 ms 15920 KB Output is correct
27 Correct 72 ms 16124 KB Output is correct
28 Correct 93 ms 16064 KB Output is correct
29 Correct 94 ms 16044 KB Output is correct
30 Correct 79 ms 16108 KB Output is correct
31 Correct 97 ms 16064 KB Output is correct
32 Correct 79 ms 17344 KB Output is correct
33 Correct 97 ms 17600 KB Output is correct
34 Correct 123 ms 17600 KB Output is correct
35 Correct 110 ms 17572 KB Output is correct
36 Correct 111 ms 17584 KB Output is correct
37 Correct 112 ms 17448 KB Output is correct
38 Correct 125 ms 17444 KB Output is correct
39 Correct 96 ms 17320 KB Output is correct
40 Correct 125 ms 17528 KB Output is correct
41 Correct 86 ms 18880 KB Output is correct
42 Correct 104 ms 19120 KB Output is correct
43 Correct 146 ms 19136 KB Output is correct
44 Correct 120 ms 19100 KB Output is correct
45 Correct 123 ms 19108 KB Output is correct
46 Correct 121 ms 18880 KB Output is correct
47 Correct 121 ms 19136 KB Output is correct
48 Correct 108 ms 18880 KB Output is correct
49 Correct 129 ms 18972 KB Output is correct