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Submission #524810

# Submission time Handle Problem Language Result Execution time Memory
524810 2022-02-10T05:12:17 Z pokmui9909 Pyramid Base (IOI08_pyramid_base) C++17
70 / 100
 3507 ms 208012 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

ll M, N, P, B;
const ll S = (1 << 21);
struct LazySegTree{
    ll T[2 * S] = {};
    ll lazy[2 * S] = {};
    void update(ll l, ll r, ll v) {update(1, 1, S, l, r, v);}
    ll query(ll l, ll r) {return query(1, 1, S, l, r);}
 
    void propagate(ll node, ll s, ll e){
        ll lch = 2 * node, rch = 2 * node + 1;
        if(s != e){
            lazy[lch] += lazy[node], lazy[rch] += lazy[node];
        }
        T[node] += lazy[node];
        lazy[node] = 0;
    }
    void update(ll node, ll s, ll e, ll l, ll r, ll v){
        propagate(node, s, e);
        if(e < l || s > r) return;
        if(l <= s && e <= r){
            lazy[node] += v;
            propagate(node, s, e);
            return;
        }
        ll lch = 2 * node, rch = 2 * node + 1, m = (s + e) / 2;
        update(lch, s, m, l, r, v);
        update(rch, m + 1, e, l, r, v);
        T[node] = min(T[lch], T[rch]);
    }
    ll query(ll node, ll s, ll e, ll l, ll r){
        propagate(node, s, e);
        if(e < l || s > r) return 1e15;
        if(l <= s && e <= r) return T[node];
        ll lch = 2 * node, rch = 2 * node + 1, m = (s + e) / 2;
        ll x = query(lch, s, m, l, r), y = query(rch, m + 1, e, l, r);
        return min(x, y);
    }
};
struct Rect{
    ll x1, y1, x2, y2, c;
    bool operator<(const Rect &r)const{
        return x1 < r.x1;
    }
};
Rect A[400005];

struct Node{
    int l, r, mn, len, pfx, sfx, d;
    Node operator+(const Node &k)const{
        Node ret = {l, k.r, min(mn, k.mn), len + k.len, pfx, k.sfx, 0LL};
        if(mn == ret.mn) ret.d = max(ret.d, d);
        if(k.mn == ret.mn) ret.d = max(ret.d, k.d);
        if(pfx == len && l == k.l) ret.pfx = len + k.pfx;
        if(k.sfx == k.len && r == k.r) ret.sfx = k.len + sfx;
        if(r == k.l && r == ret.mn) ret.d = max(ret.d, sfx + k.pfx);
        return ret;
    }
};
struct SegTree{
    Node T[2 * S];
    int lazy[2 * S] = {};
    void init(int node, int s, int e){
        if(s == e){
            T[node] = {0, 0, 0, 1, 1, 1, 1};
            return;
        }
        int lch = 2 * node, rch = 2 * node + 1, m = (s + e) / 2;
        init(lch, s, m);
        init(rch, m + 1, e);
        T[node] = T[lch] + T[rch];
    }
    void propagate(int node, int s, int e){
        int lch = 2 * node, rch = 2 * node + 1;
        if(s != e){
            lazy[lch] += lazy[node], lazy[rch] += lazy[node];
        }
        T[node].l += lazy[node];
        T[node].r += lazy[node];
        T[node].mn += lazy[node];
        lazy[node] = 0;
    }
    void update(int node, int s, int e, int l, int r, int v){
        propagate(node, s, e);
        if(e < l || s > r) return;
        if(l <= s && e <= r){
            lazy[node] += v;
            propagate(node, s, e);
            return;
        }
        int lch = 2 * node, rch = 2 * node + 1, m = (s + e) / 2;
        update(lch, s, m, l, r, v);
        update(rch, m + 1, e, l, r, v);
        T[node] = T[lch] + T[rch];
    }
    int query(){
        return (T[1].mn == 0 ? T[1].d : 0);
    }
};
SegTree ST;
struct Line{
    int y1, y2, c;
};
vector<Line> L[1000005], R[1000005];

int main(){
    cin.tie(0) -> sync_with_stdio(false);
   
    cin >> M >> N >> B >> P;
    if(B == 0){
        for(int i = 1; i <= P; i++){
            int x1, y1, x2, y2, c;
            cin >> x1 >> y1 >> x2 >> y2 >> c;
            c = 1;
            L[x1].push_back({y1, y2, c});
            R[x2].push_back({y1, y2, -c});
        }
        int ans = 0;
        int S = 1, E = 1;
        ST.init(1, 1, N);
        for(auto i : L[1]) ST.update(1, 1, N, i.y1, i.y2, i.c);
        while(S <= E && E <= M){
            int v = ST.query();
            if(v >= E - S + 1){
                ans = max(ans, E - S + 1);
                E++;
                for(auto i : L[E]) ST.update(1, 1, N, i.y1, i.y2, i.c);
            } else {
                for(auto i : R[S]) ST.update(1, 1, N, i.y1, i.y2, i.c);
                S++;
            }
        }
        cout << ans;
    } else {
        for(int i = 1; i <= P; i++){
            cin >> A[i].x1 >> A[i].y1 >> A[i].x2 >> A[i].y2 >> A[i].c;
        }
        LazySegTree LST;
        ll L = 0, R = min(M, N);
        while(L <= R){
            ll K = (L + R) / 2;
            vector<ll> Y;
            vector<Rect> T;
            ll ans = 1e15;
            for(int i = 1; i <= P; i++){
                T.push_back({A[i].x1 - K + 1, A[i].y1 - K + 1, A[i].x1 - K + 1, A[i].y2, A[i].c});
                T.push_back({A[i].x2 + 1, A[i].y1 - K + 1, A[i].x2 + 1, A[i].y2, -A[i].c});
            }
            for(int i = 0; i < T.size(); i++){
                T[i].y1 = max(T[i].y1, 1LL);
                T[i].y2 = min(T[i].y2, N);
            }
            sort(T.begin(), T.end());
            ll last = 0;
            for(int i = 1; i <= M - K + 1; i++){
                while(last < T.size() && T[last].x1 <= i){
                    LST.update(T[last].y1, T[last].y2, T[last].c);
                    last++;
                }
                ans = min(ans, LST.query(1, N - K + 1));
            }
            while(last < T.size()){
                LST.update(T[last].y1, T[last].y2, T[last].c);
                last++;
            }
            if(ans <= B){
                L = K + 1;
            } else {
                R = K - 1;
            }
        }
        cout << L - 1;
    }
}

Compilation message

pyramid_base.cpp: In function 'int main()':
pyramid_base.cpp:152:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Rect>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  152 |             for(int i = 0; i < T.size(); i++){
      |                            ~~^~~~~~~~~~
pyramid_base.cpp:159:28: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<Rect>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  159 |                 while(last < T.size() && T[last].x1 <= i){
      |                       ~~~~~^~~~~~~~~~
pyramid_base.cpp:165:24: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<Rect>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  165 |             while(last < T.size()){
      |                   ~~~~~^~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 129348 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 129300 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 129404 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 130244 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 136588 KB Output is correct

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 108 ms 186780 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 106 ms 186772 KB Output is correct
2 Incorrect 88 ms 186820 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #8
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 118 ms 130616 KB Output is correct
2 Correct 151 ms 130688 KB Output is correct
3 Correct 144 ms 130600 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 520 ms 132596 KB Output is correct
2 Correct 678 ms 132512 KB Output is correct
3 Correct 617 ms 132660 KB Output is correct

Subtask #10
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1812 ms 134268 KB Output is correct
2 Correct 3507 ms 134272 KB Output is correct
3 Correct 356 ms 134276 KB Output is correct
4 Correct 3101 ms 134496 KB Output is correct

Subtask #11
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2329 ms 134964 KB Output is correct
2 Correct 3272 ms 135048 KB Output is correct
3 Correct 1478 ms 135064 KB Output is correct

Subtask #12
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1702 ms 135564 KB Output is correct
2 Correct 3454 ms 135704 KB Output is correct
3 Correct 3498 ms 135524 KB Output is correct
4 Correct 3458 ms 135756 KB Output is correct
5 Correct 3439 ms 135816 KB Output is correct
6 Correct 1115 ms 135760 KB Output is correct

Subtask #13
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 746 ms 198248 KB Output is correct
2 Correct 373 ms 142796 KB Output is correct

Subtask #14
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1008 ms 203268 KB Output is correct
2 Incorrect 383 ms 200572 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #15
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1223 ms 208012 KB Output is correct
2 Correct 450 ms 206308 KB Output is correct
3 Incorrect 447 ms 206244 KB Output isn't correct
4 Halted 0 ms 0 KB -