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Submission #256977

# Submission time Handle Problem Language Result Execution time Memory
256977 2020-08-03T13:30:14 Z eohomegrownapps Horses (IOI15_horses) C++14
100 / 100
 489 ms 88312 KB 
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

ll m = 1000000007;

ll mexp(ll a, ll b){
    if (b==0){
        return 1;
    }
    ll ans = mexp(a,b/2);
    if (b%2==0){
        return (ans*ans)%m;
    } else {
        return (((ans*ans)%m)*a)%m;
    }
}

ll minv(ll x){
    return mexp(x,m-2);
}

ll mdiv(ll a, ll b){
    //a div b mod m
    return (a*minv(b))%m;
}

//range maximum query
//4.14.20
struct Node{
    int s,e,m,v;
    Node *l, *r;
    Node(int _s, int _e, int arr[]){
        s=_s;e=_e;
        if (s==e){
            v=arr[s];
        } else {
            m=(s+e)/2;
            l=new Node(s,m,arr);
            r=new Node(m+1,e,arr);
            v=max(l->v,r->v);
        }
    }

    void update(int ind, int val){
        if (s==e){
            v=val;
            return;
        }
        if (ind<=m){
            l->update(ind,val);
        } else {
            r->update(ind,val);
        }
        v=max(l->v,r->v);
    }

    int query(int a, int b){
        if (s==a&&e==b){
            return v;
        }
        if (b<=m){
            return l->query(a,b);
        } else if (m<a){
            return r->query(a,b);
        } else {
            return max(l->query(a,m),r->query(m+1,b));
        }
    }
};
//4.11.56

Node *root;
int n;
int *xvals;
int *yvals;
set<pair<int,int>> xset;
ll xprod = 1;

int query(){
    auto it = prev(xset.end());
    ll valdiv = 1; //value 'lost' from xvals suffix

    ll maxfracn = 1;
    ll maxfracd = 1;
    
    while (true){
        if (it->first==0){break;}

        int mincrd = (it==xset.begin())?0:(prev(it)->first);
        int maxcrd = it->first-1;

        //cout<<mincrd<<' '<<maxcrd<<'\n';
        int maxy = root->query(mincrd,maxcrd);
        //cout<<maxy<<'\n';
        valdiv*=it->second;
        if (valdiv>m){
            break;
        }

        ll newfracn = maxy;
        ll newfracd = valdiv;

        if (newfracn*maxfracd>maxfracn*newfracd){
            maxfracn=newfracn;
            maxfracd=newfracd;
        }
        
        if (it==xset.begin()){break;}
        it = prev(it);
    }
    //cout<<"f "<<maxfracn<<' '<<maxfracd<<'\n';
    return (((xprod*maxfracn)%m)*minv(maxfracd))%m;
}

int init(int N, int X[], int Y[]) {
    n=N;
    root = new Node(0,n-1,Y);
    xvals=X;
    yvals=Y;
    for (int i = 0; i<n; i++){
        xprod*=xvals[i];
        xprod%=m;
        if (xvals[i]!=1){
            xset.insert({i,xvals[i]});
        }
    }
    xset.insert({n,1});
	return query();
}

int updateX(int pos, int val) {
    if (xvals[pos]!=1){
        xset.erase({pos,xvals[pos]});
    }
    xprod=mdiv(xprod,xvals[pos]);
    xvals[pos]=val;
    if (val!=1){
        xset.insert({pos,xvals[pos]});
    }
    xprod*=xvals[pos];
    xprod%=m;
	return query();
}

int updateY(int pos, int val) {
    yvals[pos]=val;
    root->update(pos,val);
	return query();
}

Compilation message

horses.cpp: In function 'int query()':
horses.cpp:114:49: warning: conversion to 'int' from 'll {aka long long int}' may alter its value [-Wconversion]
     return (((xprod*maxfracn)%m)*minv(maxfracd))%m;
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 1 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 0 ms 256 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 1 ms 256 KB Output is correct
20 Correct 1 ms 256 KB Output is correct
21 Correct 1 ms 256 KB Output is correct
22 Correct 0 ms 256 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 2 ms 512 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 481 ms 79736 KB Output is correct
2 Correct 435 ms 88312 KB Output is correct
3 Correct 430 ms 79864 KB Output is correct
4 Correct 483 ms 83320 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 0 ms 256 KB Output is correct
21 Correct 0 ms 256 KB Output is correct
22 Correct 0 ms 256 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 2 ms 512 KB Output is correct
33 Correct 88 ms 55416 KB Output is correct
34 Correct 84 ms 55416 KB Output is correct
35 Correct 232 ms 85672 KB Output is correct
36 Correct 226 ms 85624 KB Output is correct
37 Correct 96 ms 53496 KB Output is correct
38 Correct 136 ms 66296 KB Output is correct
39 Correct 69 ms 53240 KB Output is correct
40 Correct 208 ms 80860 KB Output is correct
41 Correct 80 ms 53372 KB Output is correct
42 Correct 89 ms 53448 KB Output is correct
43 Correct 200 ms 81144 KB Output is correct
44 Correct 203 ms 81020 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 256 KB Output is correct
22 Correct 0 ms 256 KB Output is correct
23 Correct 1 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 2 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 2 ms 512 KB Output is correct
33 Correct 474 ms 79556 KB Output is correct
34 Correct 432 ms 88312 KB Output is correct
35 Correct 416 ms 79724 KB Output is correct
36 Correct 489 ms 83448 KB Output is correct
37 Correct 80 ms 55416 KB Output is correct
38 Correct 81 ms 55416 KB Output is correct
39 Correct 234 ms 85624 KB Output is correct
40 Correct 228 ms 85752 KB Output is correct
41 Correct 102 ms 53496 KB Output is correct
42 Correct 136 ms 66296 KB Output is correct
43 Correct 73 ms 53240 KB Output is correct
44 Correct 211 ms 80760 KB Output is correct
45 Correct 85 ms 53368 KB Output is correct
46 Correct 91 ms 53368 KB Output is correct
47 Correct 201 ms 81016 KB Output is correct
48 Correct 201 ms 81144 KB Output is correct
49 Correct 233 ms 58360 KB Output is correct
50 Correct 214 ms 58360 KB Output is correct
51 Correct 364 ms 87544 KB Output is correct
52 Correct 321 ms 87076 KB Output is correct
53 Correct 397 ms 56696 KB Output is correct
54 Correct 273 ms 70264 KB Output is correct
55 Correct 193 ms 54392 KB Output is correct
56 Correct 345 ms 82552 KB Output is correct
57 Correct 296 ms 55032 KB Output is correct
58 Correct 365 ms 55544 KB Output is correct
59 Correct 201 ms 81144 KB Output is correct