oj.uz

Submission #238878

# Submission time Handle Problem Language Result Execution time Memory
238878 2020-06-13T10:39:02 Z Ruxandra985 Horses (IOI15_horses) C++14
100 / 100
 517 ms 81272 KB 
#include <bits/stdc++.h>
#include "horses.h"
#define DIMN 500010
#define MOD 1000000007
using namespace std;
long long nt , xt[DIMN] , yt[DIMN];

set <  pair <   pair <long long , long long> , pair <long long , long long>    >  > state;

set <  pair <   pair <long long , long long> , pair <long long , long long>    >  > :: iterator aux , it;

set <  pair <   pair <long long , long long> , pair <long long , long long>    >  > :: reverse_iterator rit;


long long aint[4*DIMN] , prod[4 * DIMN];
void build (long long nod , long long st , long long dr){
    long long mid = (st + dr)/2;

    if (st == dr){
        aint[nod] = st;
        prod[nod] = xt[st];
        return;
    }
    build (2 * nod , st , mid);
    build (2 * nod + 1 , mid + 1 , dr);

    if (yt[aint[2 * nod]] > yt[aint[2 * nod + 1]])
        aint[nod] = aint[2 * nod];
    else aint[nod] = aint[2 * nod + 1];

    prod[nod] = (1LL * prod[2 * nod] * prod[2 * nod + 1])%MOD;


}

void update_prod (long long nod , long long st , long long dr , long long pos , long long val){
    long long mid = (st + dr)/2;

    if (st == dr){
        prod[nod] = val;
        return;
    }

    if (pos <= mid)
        update_prod(2 * nod , st , mid , pos , val);
    else
        update_prod(2 * nod + 1 , mid + 1 , dr , pos , val);

    prod[nod] = (1LL * prod[2 * nod] * prod[2 * nod + 1])%MOD;


}


long long query (long long nod , long long st , long long dr , long long x , long long y){
    long long mid = (st + dr)/2 , maxi = -1 , val;

    if (x <= st && dr <= y){
        return aint[nod];
    }

    if (x <= mid){
        val = query(2 * nod , st , mid , x , y);
        if (maxi == -1 || yt[maxi] < yt[val])
            maxi = val;
    }
    if (mid + 1 <= y){
        val = query(2 * nod + 1 , mid + 1 , dr , x , y);
        if (maxi == -1 || yt[maxi] < yt[val])
            maxi = val;
    }

    return maxi;


}

long long query_prod (long long nod , long long st , long long dr , long long x , long long y){
    long long mid = (st + dr)/2 , sol = 1;

    if (x <= st && dr <= y){
        return prod[nod];
    }

    if (x <= mid)
        sol = (1LL * sol * query_prod(2 * nod , st , mid , x , y))%MOD;
    if (mid + 1 <= y)
        sol = (1LL * sol * query_prod(2 * nod + 1 , mid + 1 , dr , x , y))%MOD;

    return sol;


}

void update (long long nod , long long st , long long dr , long long pos , long long val){
    long long mid = (st + dr)/2;


    if (st == dr){
        aint[nod] = pos;
        return;
    }

    if (pos <= mid)
        update(2 * nod , st , mid , pos , val);
    else
        update(2 * nod + 1 , mid + 1 , dr , pos , val);

    if (yt[aint[2 * nod]] > yt[aint[2 * nod + 1]])
        aint[nod] = aint[2 * nod];
    else aint[nod] = aint[2 * nod + 1];

}



long long solve_current_state (){

    long long idx , inc , ymax , taken;
    long long have_sol;

    /// !! solutia e in ultimele 60 de pozitii
    have_sol = 0;
    idx = 0;
    for (rit = state.rbegin() , taken = 1 ; rit != state.rend() && taken <= 60; rit++ , taken++){

        inc = (*rit).first.first;
        ymax = (*rit).second.second;


        if (have_sol == 0){
            have_sol = 1LL * xt[inc] * yt[ymax];
            idx = ymax;
        }
        else {

            if (yt[ymax] < have_sol){
                if (have_sol <= 1000000000)
                    have_sol = (have_sol * xt[ymax]);
            }
            else {
                have_sol = 1LL * xt[inc] * yt[ymax];
                idx = ymax;
            }

        }


    }

    return (1LL * query_prod (1 , 0 , nt - 1 , 0 , idx) * yt[idx])%MOD;


}



int init(int n, int x[], int y[]){
    long long i , inc , sf , ymax;
    nt = n;

    for (i = 0 ; i < n ; i++){
        xt[i] = x[i];
        yt[i] = y[i];
    }


    for (i = 0 ; i < n ; i++){

        if (x[i] != 1){

            state.insert(make_pair(  make_pair(i , i) , make_pair(x[i] , i)  ));

        }
        else {
            inc = i;
            sf = i;
            ymax = i;
            while (sf + 1 < n && x[sf + 1] == 1){

                if (y[ymax] < y[sf + 1])
                    ymax = sf + 1;
                sf++;
            }

            state.insert(make_pair(  make_pair(inc , sf) , make_pair(1 , ymax)  ));

            i = sf;

        }

    }

    build (1 , 0 , nt - 1);

    return solve_current_state();

}
int updateX(int pos, int val){

    long long inc , sf , vcurr , ymax , inc2 , sf2 , ymax2;

    it = state.upper_bound(make_pair (   make_pair(pos , nt) , make_pair(0 , 0)    ));
    it--;

    inc = (*it).first.first;
    sf = (*it).first.second;
    vcurr = (*it).second.first;
    ymax = (*it).second.second;



    if (val == 1){ /// cazul cand poate se prelungeste un long longerval de 1
                   /// , sau se form unul nou

        if (vcurr != 1){

            vcurr = 1;
            aux = it;
            aux--;

            if (it != state.begin() && (*aux).second.first == 1){ /// aux exista

                /// ai un long longerval de 1 la stanga

                inc2 = (*aux).first.first;
                sf2 = (*aux).first.second;
                ymax2 = (*aux).second.second;

                if (yt[ymax] < yt[ymax2])
                    ymax = ymax2;

                inc = inc2;

                state.erase(aux);


            }


            aux = it;
            aux++;

            if (aux != state.end() && (*aux).second.first == 1){

                /// ai un long longerval de 1 la dreapta

                inc2 = (*aux).first.first;
                sf2 = (*aux).first.second;
                ymax2 = (*aux).second.second;


                if (yt[ymax] < yt[ymax2])
                    ymax = ymax2;

                sf = sf2;

                state.erase(aux);

            }

            state.erase(it);

            state.insert(make_pair(  make_pair(inc , sf) , make_pair(1 , ymax)  ));

        }


    }
    else { /// cazul cand se destrama un long longerval de 1, sau doar se updateaza o val

        if (vcurr != 1){ /// se updateaza o valoare normala

            state.erase(it);
            state.insert(make_pair(  make_pair(inc , sf) , make_pair(val , ymax)  ));

        }
        else { /// se destrama un long longerval
            state.erase(it);
            state.insert(make_pair(  make_pair(pos , pos) , make_pair(val , pos)  ));


            if (inc < pos){

                ymax = query (1 , 0 , nt - 1 , inc , pos - 1);
                state.insert(make_pair(  make_pair(inc , pos - 1) , make_pair(1 , ymax)  ));

            }

            if (pos < sf){


                ymax = query (1 , 0 , nt - 1 , pos + 1 , sf);
                state.insert(make_pair(  make_pair(pos + 1 , sf) , make_pair(1 , ymax)  ));

            }

        }

    }


    xt[pos] = val;
    update_prod (1 , 0 , nt - 1 , pos , val);

    return solve_current_state();
}
int updateY(int pos, int val){

    long long inc , sf , vcurr , ymax;
    it = state.upper_bound(make_pair (   make_pair(pos , nt) , make_pair(0 , 0)    ));
    it--;

    inc = (*it).first.first;
    sf = (*it).first.second;
    vcurr = (*it).second.first;
    ymax = (*it).second.second;

    state.erase(it);


    yt[pos] = val;

    update (1 , 0 , nt - 1 , pos , val);

    ymax = query(1 , 0 , nt - 1 , inc , sf);

    state.insert(make_pair(   make_pair(inc , sf) , make_pair(vcurr , ymax)   ));


    return solve_current_state();
}

Compilation message

horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:196:31: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return solve_current_state();
            ~~~~~~~~~~~~~~~~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:306:31: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return solve_current_state();
            ~~~~~~~~~~~~~~~~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:331:31: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return solve_current_state();
            ~~~~~~~~~~~~~~~~~~~^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 6 ms 384 KB Output is correct
25 Correct 6 ms 512 KB Output is correct
26 Correct 6 ms 512 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 6 ms 512 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 6 ms 512 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 316 ms 68728 KB Output is correct
2 Correct 517 ms 68728 KB Output is correct
3 Correct 441 ms 68600 KB Output is correct
4 Correct 456 ms 68856 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 6 ms 384 KB Output is correct
25 Correct 6 ms 512 KB Output is correct
26 Correct 6 ms 512 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 6 ms 512 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 6 ms 512 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 6 ms 384 KB Output is correct
33 Correct 62 ms 32888 KB Output is correct
34 Correct 63 ms 32872 KB Output is correct
35 Correct 224 ms 78712 KB Output is correct
36 Correct 220 ms 78584 KB Output is correct
37 Correct 52 ms 31100 KB Output is correct
38 Correct 195 ms 70776 KB Output is correct
39 Correct 43 ms 30588 KB Output is correct
40 Correct 201 ms 73784 KB Output is correct
41 Correct 43 ms 30712 KB Output is correct
42 Correct 45 ms 30712 KB Output is correct
43 Correct 186 ms 73976 KB Output is correct
44 Correct 196 ms 74152 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 4 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 6 ms 512 KB Output is correct
24 Correct 6 ms 384 KB Output is correct
25 Correct 6 ms 512 KB Output is correct
26 Correct 6 ms 768 KB Output is correct
27 Correct 6 ms 512 KB Output is correct
28 Correct 6 ms 512 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 6 ms 512 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 310 ms 72440 KB Output is correct
34 Correct 481 ms 81272 KB Output is correct
35 Correct 444 ms 72588 KB Output is correct
36 Correct 490 ms 76408 KB Output is correct
37 Correct 63 ms 33016 KB Output is correct
38 Correct 59 ms 33016 KB Output is correct
39 Correct 226 ms 78712 KB Output is correct
40 Correct 228 ms 78584 KB Output is correct
41 Correct 49 ms 31096 KB Output is correct
42 Correct 183 ms 70776 KB Output is correct
43 Correct 40 ms 30592 KB Output is correct
44 Correct 199 ms 73848 KB Output is correct
45 Correct 42 ms 30712 KB Output is correct
46 Correct 45 ms 30696 KB Output is correct
47 Correct 198 ms 74080 KB Output is correct
48 Correct 187 ms 74104 KB Output is correct
49 Correct 279 ms 38264 KB Output is correct
50 Correct 321 ms 38136 KB Output is correct
51 Correct 351 ms 80536 KB Output is correct
52 Correct 322 ms 80120 KB Output is correct
53 Correct 229 ms 36344 KB Output is correct
54 Correct 303 ms 72568 KB Output is correct
55 Correct 111 ms 31608 KB Output is correct
56 Correct 330 ms 75512 KB Output is correct
57 Correct 125 ms 32248 KB Output is correct
58 Correct 164 ms 32760 KB Output is correct
59 Correct 186 ms 73980 KB Output is correct