oj.uz

Submission #143802

# Submission time Handle Problem Language Result Execution time Memory
143802 2019-08-15T07:56:14 Z dacin21 Rectangles (IOI19_rect) C++14
59 / 100
 3511 ms 1048580 KB 
#include "rect.h"

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

using ll = long long;
using ull = unsigned long long;
using fl = long double;
template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename S, typename T>
void xmin(S&a, T const&b){if(b<a) a=b;}
template<typename S, typename T>
void xmax(S&a, T const&b){if(b>a) a=b;}

template<bool enabled>
struct Debug{
    template<typename S, typename T = void> struct Tag_Printable : false_type {};
    template<typename S> struct Tag_Printable<S, decltype((void)(cerr << declval<S>()))> : true_type {};
    template<typename S, typename T = void> struct Tag_Iterable: false_type {};
    template<typename S> struct Tag_Iterable<S, decltype((void)(begin(declval<S>()), end(declval<S>())))> : true_type {};

    template<typename T, size_t N> struct Tuple_Printer{
        template<typename S>
        static S& print(S& stream, T const&t){
            return Tuple_Printer<T, N-1>::print(stream, t) << ", " << get<N>(t);
        }
    };
    template<typename T> struct Tuple_Printer<T, 0>{
        template<typename S>
        static S& print(S& stream, T const&t){
            return stream << get<0>(t);
        }
    };

    template<typename T, typename... Args>
    Debug& print(T const&x, true_type, Args...){
        #ifdef LOCAL_RUN
        if(enabled){
            cerr << boolalpha << x;
        }
        #endif // LOCAL_RUN
        return *this;
    }
    template<typename T>
    Debug& print(T const&x, false_type, true_type){
        *this << "[";
        bool first = true;
        for(auto &e:x){
            if(!first) *this << ", ";
            *this << e;
            first = false;
        }
        return *this << "]";
    }
    template<typename S, typename T>
    Debug& print(pair<S, T> const&x, false_type, false_type){
        return *this << "(" << x.first << ", " << x.second << ")";
    }
    template<typename... Args>
    Debug& print(tuple<Args...> const&t, false_type, false_type){
        return Tuple_Printer<decltype(t), sizeof...(Args)-1>::print(*this, t);
    }
    template<typename T>
    Debug& operator<<(T const&x){
        return print(x, Tag_Printable<T>{}, Tag_Iterable<T>{});
    }
};
 Debug<true> debug;
// Debug<false> debug; // disable debug printing
#define named(x) string(#x) << " : " <<  x


// Preprocesses in O(n log n) to allow you to query
// the next larger element to the left/right in O(log n)
template<typename Key, typename Value, typename value_comp = less<Value>>
class Cartesian_Ancestors{
public:
    // range maximum query in <n log n, 1>
    template<typename T = Value, typename comp = value_comp>
    class Sparsetable{
        int compind(int i, int j, int l, int sign)const{
            i = RMQ[lgn*i+l], j=RMQ[lgn*(j+sign*(1<<l))+l];
            return comp()(data[i], data[j])? j : i;
        }
        int minind(int l, int r)const{
            assert(l<r);
            return compind(l, r, lg2[r-l],-1);
        }
        void build(){
            lg2.resize(n+1);
            for(int i=2;i<=n;++i) lg2[i]=1+lg2[i/2];
            lgn = lg2.back()+1;
            RMQ.resize(n*lgn);
            for(int i=n-1;i>=0;--i){
                RMQ[lgn*i]=i;
                for(int j=0;j<lg2[n-i];++j) RMQ[lgn*i+j+1] = compind(i,i,j,1);
            }
        }
    public:
        Sparsetable() {}
        Sparsetable(vector<T> v): n(v.size()), data(move(v)) { build(); }
        /// max in [l, r)
        pair<int, T const&> operator()(int const&i, int const&j){
            int k = minind(i, j);
            return pair<int, T const&>(k, data[k]);
        }
        int n, lgn;
        vector<int> RMQ, lg2;
        vector<T> data;
    };
    struct Ret{
        int index;
        Key key;
        Value value;
        bool found;
        friend ostream& operator<<(ostream&o, Ret const&r){
            return o << "(" << r.index << ", " << r.key << ", " << r.value << ", " << r.found << ")";
        }
    };

    Cartesian_Ancestors(vector<Value> values) : n(values.size()), keys(n), data(move(values)), st(data){
        iota(keys.begin(), keys.end(), Key{});
    }
    Cartesian_Ancestors(vector<Key> keys_, vector<Value> values) : n(keys.size()), keys(move(keys_)), data(move(values)), st(data){
        assert(keys.size() == values.size());
        assert(is_sorted(keys.begin(), keys.end()));
    }
    Cartesian_Ancestors(vector<pair<Key, Value> > const&v) : n(v.size()), keys(n), data(n) {
        for(int i=0;i<n;++i){
            tie(keys[i], data[i]) = v[i];
        }
        assert(is_sorted(keys.begin(), keys.end()));
        st = Sparsetable<>(data);
    }

    template<bool allow_equal_key, bool allow_equal_value>
    Ret right_larger(Key const&key, Value const& value){
        auto it = allow_equal_key ? lower_bound(keys.begin(), keys.end(), key) : upper_bound(keys.begin(), keys.end(), key);
        int i = it - keys.begin();
        int l = i-1, r = n;
        while(l+1 < r){
            const int m = l + (r-l)/2;
            auto x = st(i, m+1).second;
            if(comp(x, value)){
                l = m;
            } else if(comp(value, x)){
                r = m;
            } else  {
                if(allow_equal_value){
                    r = m;
                } else {
                    l = m;
                }
            }
        }
        return ret_from_index(r);
    }
    template<bool allow_equal_key, bool allow_equal_value>
    Ret left_larger(Key const&key, Value const& value){
        auto it = allow_equal_key ? upper_bound(keys.begin(), keys.end(), key) : lower_bound(keys.begin(), keys.end(), key);
        int i = it - keys.begin();
        int l = -1, r = i;
        while(l+1 < r){
            const int m = l + (r-l)/2;
            auto x = st(m,i).second;
            if(comp(x, value)){
                r = m;
            } else if(comp(value, x)){
                l = m;
            } else  {
                if(allow_equal_value){
                    l = m;
                } else {
                    r = m;
                }
            }
        }
        return ret_from_index(l);
    }
private:
    Ret ret_from_index(int index){
        if(index == -1 || index == n) return Ret{index, Key{}, Value{}, false};
        return Ret{index, keys[index], data[index], true};
    }
    int n;
    vector<Key> keys;
    vector<Value> data;
    Sparsetable<> st;
    value_comp comp;
};

vector<vector<int> > transposed(vector<vector<int> > const&v){
    const int n = v.size(), m = v.empty() ? 0 : v[0].size();
    vector<vector<int> > ret(m, vector<int>(n));
    for(int i=0;i<n;++i){
        for(int j=0;j<m;++j){
            ret[j][i] = v[i][j];
        }
    }
    return ret;
}


struct Range_And{
    Range_And(){}
    Range_And(int Y_, vector<pair<int, int> > const&v) : Y(Y_), data(Y){
        for(auto const&e:v){
            data[e.second].emplace_back(e.first);
        }
        for(auto &e:data){
            sort(e.begin(), e.end());
            e.erase(unique(e.begin(), e.end()), e.end());
        }
    }
    // all points present in {x} x [y1, y2)
    bool all(int x, int y1, int y2) const {
        const int dy = y2-y1;
        auto it = lower_bound(data[x].begin(), data[x].end(), y1);
        return data[x].end() - it >= dy && it[dy-1]<y2;
        //auto it2 = lower_bound(data[x].begin(), data[x].end(), y2);
        //return it2-it == y2-y1;
    }
    int Y;
    vector<vector<int> > data;
};

vector<Range_And> build_ds(int X, vector<vector<pair<int, int> > > const&v){
    vector<Range_And> ret;
    for(auto const&e:v){
        ret.emplace_back(X, e);
    }
    return ret;
}

// compute good ranges
vector<vector<pair<int, int> > > precalc(vector<vector<int> > const&v){
    const int X = v.size(), Y = v[0].size();
    vector<vector<pair<int, int> > > ret(Y);
    for(int i=0;i<X;++i){
        stack<pair<int, int> > s; // value, y
        auto cand = [&](int y, int h){
            while(!s.empty() && s.top().first <= h){
                const int y2 = s.top().second;
                ret[abs(y-y2)].emplace_back(i, min(y, y2));
                s.pop();
            }
            s.emplace(h, y);
        };
        for(int j=0;j<Y;++j){
            cand(j, v[i][j]);
        }
        while(!s.empty()) s.pop();
        for(int j=Y-1;j>=0;--j){
            cand(j, v[i][j]);
        }
    }
    /*for(auto &e:ret){
        sort(e.begin(), e.end());
        e.erase(unique(e.begin(), e.end()), e.end());
    }*/
    return ret;
}

using Cart = Cartesian_Ancestors<int, int>;

ll count_rectangles(std::vector<std::vector<int> > a) {
    const int X = a.size(), Y = a[0].size();
    auto const row_ranges = precalc(a);
    auto const row_ds = build_ds(Y, row_ranges);
    auto const col_ranges = precalc(transposed(a));
    auto const col_ds = build_ds(X, col_ranges);
    //debug << named(row_ranges) << "\n";
    //debug << named(col_ranges) << "\n";
    vector<Cart> row_cart;
    for(auto const&e:a){
        row_cart.emplace_back(e);
    }

    vector<tuple<int, int, int, int> > ret;
    auto add_rec = [&](int x1, int x2, int y1, int y2){
        ret.emplace_back(x1, x2, y1, y2);
        //debug << "Rec: " << ret.back() << "\n";
    };

    for(int dx=2;dx<X;++dx){
        for(auto const&u:col_ranges[dx]){
            const int y = u.first, x = u.second;
            // top left corner
            if(y!=0){
                auto const tmp = row_cart[x+1].right_larger<false, true>(y-1, a[x+1][y-1]);
                //if(dx == 2) debug << u << " " << named(tmp) << "\n";
                if(tmp.found){
                    const int y2 = tmp.index;
                    const int dy = y2-y+1;
                    if(dy != 1){
                        if(col_ds[dx].all(x, y, y2) && row_ds[dy].all(y-1, x+1, x+dx)){
                            add_rec(x+1, x+dx-1, y, y2-1);
                        }
                    }
                }
            }

            // top right corner
            if(y+1 != Y){
                auto const tmp = row_cart[x+1].left_larger<false, true>(y+1, a[x+1][y+1]);
                if(tmp.found){
                    const int y2 = tmp.index;
                    const int dy = y-y2+1;
                    if(dy != 1){
                        if(col_ds[dx].all(x, y2+1, y+1) && row_ds[dy].all(y2, x+1, x+dx)){
                            add_rec(x+1, x+dx-1, y2+1, y);
                        }
                    }
                }
            }
        }
    }




    sort(ret.begin(), ret.end());
    ret.erase(unique(ret.begin(), ret.end()), ret.end());
    return ret.size();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 508 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 3 ms 508 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 0 ms 252 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 256 KB Output is correct
19 Correct 2 ms 504 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 256 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 508 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 3 ms 508 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 0 ms 252 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 7 ms 1656 KB Output is correct
18 Correct 7 ms 1656 KB Output is correct
19 Correct 7 ms 1656 KB Output is correct
20 Correct 6 ms 1400 KB Output is correct
21 Correct 7 ms 1488 KB Output is correct
22 Correct 5 ms 1400 KB Output is correct
23 Correct 7 ms 1500 KB Output is correct
24 Correct 4 ms 888 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 256 KB Output is correct
27 Correct 2 ms 504 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 256 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 508 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 3 ms 508 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 0 ms 252 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 7 ms 1656 KB Output is correct
18 Correct 7 ms 1656 KB Output is correct
19 Correct 7 ms 1656 KB Output is correct
20 Correct 6 ms 1400 KB Output is correct
21 Correct 7 ms 1488 KB Output is correct
22 Correct 5 ms 1400 KB Output is correct
23 Correct 7 ms 1500 KB Output is correct
24 Correct 4 ms 888 KB Output is correct
25 Correct 35 ms 7924 KB Output is correct
26 Correct 35 ms 7920 KB Output is correct
27 Correct 35 ms 7892 KB Output is correct
28 Correct 31 ms 7520 KB Output is correct
29 Correct 42 ms 7452 KB Output is correct
30 Correct 41 ms 7280 KB Output is correct
31 Correct 39 ms 7280 KB Output is correct
32 Correct 46 ms 7152 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 256 KB Output is correct
35 Correct 2 ms 504 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 256 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 508 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 3 ms 508 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 0 ms 252 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 7 ms 1656 KB Output is correct
18 Correct 7 ms 1656 KB Output is correct
19 Correct 7 ms 1656 KB Output is correct
20 Correct 6 ms 1400 KB Output is correct
21 Correct 7 ms 1488 KB Output is correct
22 Correct 5 ms 1400 KB Output is correct
23 Correct 7 ms 1500 KB Output is correct
24 Correct 4 ms 888 KB Output is correct
25 Correct 35 ms 7924 KB Output is correct
26 Correct 35 ms 7920 KB Output is correct
27 Correct 35 ms 7892 KB Output is correct
28 Correct 31 ms 7520 KB Output is correct
29 Correct 42 ms 7452 KB Output is correct
30 Correct 41 ms 7280 KB Output is correct
31 Correct 39 ms 7280 KB Output is correct
32 Correct 46 ms 7152 KB Output is correct
33 Correct 389 ms 88660 KB Output is correct
34 Correct 424 ms 88744 KB Output is correct
35 Correct 364 ms 88668 KB Output is correct
36 Correct 418 ms 88636 KB Output is correct
37 Correct 498 ms 92888 KB Output is correct
38 Correct 500 ms 92760 KB Output is correct
39 Correct 506 ms 92924 KB Output is correct
40 Correct 471 ms 88292 KB Output is correct
41 Correct 536 ms 87200 KB Output is correct
42 Correct 538 ms 84836 KB Output is correct
43 Correct 822 ms 89580 KB Output is correct
44 Correct 855 ms 89620 KB Output is correct
45 Correct 342 ms 47588 KB Output is correct
46 Correct 507 ms 48228 KB Output is correct
47 Correct 882 ms 89092 KB Output is correct
48 Correct 770 ms 89060 KB Output is correct
49 Correct 2 ms 376 KB Output is correct
50 Correct 2 ms 256 KB Output is correct
51 Correct 2 ms 504 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 2 ms 256 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 150 ms 148316 KB Output is correct
2 Correct 110 ms 107260 KB Output is correct
3 Correct 148 ms 148308 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 159 ms 148544 KB Output is correct
6 Correct 148 ms 148344 KB Output is correct
7 Correct 148 ms 148344 KB Output is correct
8 Correct 148 ms 148344 KB Output is correct
9 Correct 152 ms 148316 KB Output is correct
10 Correct 145 ms 147688 KB Output is correct
11 Correct 146 ms 148088 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3511 ms 534352 KB Output is correct
3 Runtime error 3176 ms 1048580 KB Execution killed with signal 9 (could be triggered by violating memory limits)
4 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 3 ms 504 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 3 ms 508 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 3 ms 508 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 3 ms 504 KB Output is correct
11 Correct 3 ms 376 KB Output is correct
12 Correct 3 ms 504 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 0 ms 252 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 7 ms 1656 KB Output is correct
18 Correct 7 ms 1656 KB Output is correct
19 Correct 7 ms 1656 KB Output is correct
20 Correct 6 ms 1400 KB Output is correct
21 Correct 7 ms 1488 KB Output is correct
22 Correct 5 ms 1400 KB Output is correct
23 Correct 7 ms 1500 KB Output is correct
24 Correct 4 ms 888 KB Output is correct
25 Correct 35 ms 7924 KB Output is correct
26 Correct 35 ms 7920 KB Output is correct
27 Correct 35 ms 7892 KB Output is correct
28 Correct 31 ms 7520 KB Output is correct
29 Correct 42 ms 7452 KB Output is correct
30 Correct 41 ms 7280 KB Output is correct
31 Correct 39 ms 7280 KB Output is correct
32 Correct 46 ms 7152 KB Output is correct
33 Correct 389 ms 88660 KB Output is correct
34 Correct 424 ms 88744 KB Output is correct
35 Correct 364 ms 88668 KB Output is correct
36 Correct 418 ms 88636 KB Output is correct
37 Correct 498 ms 92888 KB Output is correct
38 Correct 500 ms 92760 KB Output is correct
39 Correct 506 ms 92924 KB Output is correct
40 Correct 471 ms 88292 KB Output is correct
41 Correct 536 ms 87200 KB Output is correct
42 Correct 538 ms 84836 KB Output is correct
43 Correct 822 ms 89580 KB Output is correct
44 Correct 855 ms 89620 KB Output is correct
45 Correct 342 ms 47588 KB Output is correct
46 Correct 507 ms 48228 KB Output is correct
47 Correct 882 ms 89092 KB Output is correct
48 Correct 770 ms 89060 KB Output is correct
49 Correct 150 ms 148316 KB Output is correct
50 Correct 110 ms 107260 KB Output is correct
51 Correct 148 ms 148308 KB Output is correct
52 Correct 2 ms 256 KB Output is correct
53 Correct 159 ms 148544 KB Output is correct
54 Correct 148 ms 148344 KB Output is correct
55 Correct 148 ms 148344 KB Output is correct
56 Correct 148 ms 148344 KB Output is correct
57 Correct 152 ms 148316 KB Output is correct
58 Correct 145 ms 147688 KB Output is correct
59 Correct 146 ms 148088 KB Output is correct
60 Correct 2 ms 376 KB Output is correct
61 Correct 3511 ms 534352 KB Output is correct
62 Runtime error 3176 ms 1048580 KB Execution killed with signal 9 (could be triggered by violating memory limits)
63 Halted 0 ms 0 KB -