oj.uz

Submission #62416

# Submission time Handle Problem Language Result Execution time Memory
62416 2018-07-28T11:58:10 Z Tenuun Horses (IOI15_horses) C++17
100 / 100
 561 ms 43144 KB 
#include<bits/stdc++.h>
#define mod 1000000007
#define ll long long

using namespace std;

int n, tr[2000000], id[500001];
ll bit[500001];
ll now=1;
vector<int>x, y;
set<int>a;

void update(int ind, int val){
	if(ind==0) return;
    while(ind<=500000){
        bit[ind]*=val;
        bit[ind]%=mod;
        ind+=ind&-ind;
    }
}

ll get(int ind){
    if(ind<0 || ind>n) return 1;
    ll ans=1;
    while(ind>0){
        ans*=bit[ind];
        ans%=mod;
        ind-=ind&-ind;
    }
    return ans;
}

void pre(){
    fill(bit, bit+500001, 1);
    a.insert(-1);
    a.insert(0);
    for(int i=0; i<n; i++){
        if(x[i]>1){
            a.insert(i);
            update(i+1, x[i]);
        }
    }
}

void build(int ind, int l, int r){
    if(l==r){
        tr[ind]=y[l];
        id[l]=ind;
        return;
    }
    build(ind*2, l, (l+r)/2);
    build(ind*2+1, (l+r)/2+1, r);
    tr[ind]=max(tr[ind*2], tr[ind*2+1]);
}

void upd(int ind){
    if(ind==0) return;
    tr[ind]=max(tr[ind*2], tr[ind*2+1]);
    upd(ind/2);
}

ll rmq(int ind, int l, int r, int L, int R){
    if(l==L && r==R) return tr[ind];
    int m=(l+r)/2;
    if(R<=m) return rmq(ind*2, l, m, L, R);
    else if(L>m) return rmq(ind*2+1, m+1, r, L, R);
    else{
        return max(rmq(ind*2, l, m, L, m), rmq(ind*2+1, m+1, r, m+1, R));
    }
}

ll find(){
	if(a.size()==1){
		return rmq(1, 0, n-1, 0, n-1);
	}
	else if(a.size()==2){
	//	return (max(rmq(1, 0, n-1, *prev(a.end()), n-1)*x[*prev(a.end())], rmq(1, 0, n-1, 0, *prev(a.end())-1))%mod);
	}
	//cout << *prev(a.end()) << endl;
    ll ans=1, t=rmq(1, 0, n-1, *prev(a.end()), n-1);
    ll now=t;
    set<int>::iterator it;
    for(it=prev(a.end()); it!=a.begin() && now<mod; it--){
        if(now*x[*it]>mod) {
            break;
        }
        now*=x[*it];
    }
    ans=now%mod;
    now/=t;
    for(set<int>::iterator tmp=prev((prev(a.end()))); tmp!=prev(it) && tmp!=a.begin(); tmp--){
        now/=x[*next(tmp)];
        ans=max(ans, now*rmq(1, 0, n-1, *tmp, *next(tmp)-1));
    }
    ans%=mod;
    if(it!=a.begin()) {
    	ans*=get(*it+1);
    }
    ans%=mod;
    return ans;
}

int init(int N, int X[], int Y[]) {
    n=N;
    for(int i=0; i<n; i++) {x.push_back(X[i]); y.push_back(Y[i]);}
    pre();
    build(1, 0, n-1);
    return find();
}

ll pw(ll o, ll p){
    if(p==0) return 1;
    ll ans=pw(o, p/2);
    ans*=ans;
    ans%=mod;
    if(p%2) ans*=o;
    ans%=mod;
    return ans;
}

int updateX(int pos, int val){
    //cout << pos << " " << val <<" " <<  a.size()  <<endl;
    if(x[pos]==1 && val==1) return find();
    if(x[pos]>1 && val>1){
        update(pos+1, (val*pw(x[pos], mod-2)%mod));
        x[pos]=val;
        return find();
    }
    if(x[pos]==1){
        a.insert(pos);
        update(pos+1, val);
        x[pos]=val;
    }
    else{
        a.erase(a.find(pos));
        update(pos+1, pw(x[pos], mod-2));
        x[pos]=1;
    }
    return find();
}

int updateY(int pos, int val){
    tr[id[pos]]=val;
    upd(id[pos]/2);
    return find();
}
/*int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	freopen("in.txt", "r", stdin);
	freopen("out.txt", "w", stdout);
    int N; cin >> N;

    int *X = (int*)malloc(sizeof(int)*(unsigned int)N);
    int *Y = (int*)malloc(sizeof(int)*(unsigned int)N);

    for (int i = 0; i < N; i++) {
        cin >> X[i];
    }

    for (int i = 0; i < N; i++) {
        cin >> Y[i];
    }   

    cout << init(N,X,Y) << endl;

    int M; cin >> M;
    int type, pos, val;
    for (int i = 0; i < M; i++) {
        cin >> type >> pos >> val;
        if (type == 1) {
            cout << updateX(pos,val) << endl;
        } else if (type == 2) {
            cout << updateY(pos,val) << endl;
        }
    }

    return 0;
}*/

Compilation message

horses.cpp: In function 'long long int find()':
horses.cpp:81:8: warning: declaration of 'now' shadows a global declaration [-Wshadow]
     ll now=t;
        ^~~
horses.cpp:9:4: note: shadowed declaration is here
 ll now=1;
    ^~~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:108:16: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return find();
            ~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:123:40: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     if(x[pos]==1 && val==1) return find();
                                    ~~~~^~
horses.cpp:125:45: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         update(pos+1, (val*pw(x[pos], mod-2)%mod));
                       ~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp:127:20: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         return find();
                ~~~~^~
horses.cpp:136:25: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         update(pos+1, pw(x[pos], mod-2));
                       ~~^~~~~~~~~~~~~~~
horses.cpp:139:16: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return find();
            ~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:145:16: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     return find();
            ~~~~^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4216 KB Output is correct
2 Correct 6 ms 4328 KB Output is correct
3 Correct 6 ms 4532 KB Output is correct
4 Correct 6 ms 4532 KB Output is correct
5 Correct 5 ms 4532 KB Output is correct
6 Correct 5 ms 4532 KB Output is correct
7 Correct 6 ms 4532 KB Output is correct
8 Correct 6 ms 4532 KB Output is correct
9 Correct 6 ms 4532 KB Output is correct
10 Correct 7 ms 4532 KB Output is correct
11 Correct 8 ms 4532 KB Output is correct
12 Correct 5 ms 4556 KB Output is correct
13 Correct 7 ms 4556 KB Output is correct
14 Correct 9 ms 4556 KB Output is correct
15 Correct 6 ms 4556 KB Output is correct
16 Correct 7 ms 4556 KB Output is correct
17 Correct 7 ms 4556 KB Output is correct
18 Correct 6 ms 4556 KB Output is correct
19 Correct 7 ms 4556 KB Output is correct
20 Correct 8 ms 4556 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4556 KB Output is correct
2 Correct 6 ms 4564 KB Output is correct
3 Correct 6 ms 4564 KB Output is correct
4 Correct 7 ms 4564 KB Output is correct
5 Correct 6 ms 4564 KB Output is correct
6 Correct 7 ms 4564 KB Output is correct
7 Correct 5 ms 4564 KB Output is correct
8 Correct 6 ms 4564 KB Output is correct
9 Correct 4 ms 4564 KB Output is correct
10 Correct 7 ms 4564 KB Output is correct
11 Correct 6 ms 4564 KB Output is correct
12 Correct 5 ms 4564 KB Output is correct
13 Correct 6 ms 4564 KB Output is correct
14 Correct 6 ms 4564 KB Output is correct
15 Correct 6 ms 4564 KB Output is correct
16 Correct 7 ms 4564 KB Output is correct
17 Correct 6 ms 4564 KB Output is correct
18 Correct 6 ms 4564 KB Output is correct
19 Correct 5 ms 4564 KB Output is correct
20 Correct 6 ms 4564 KB Output is correct
21 Correct 6 ms 4588 KB Output is correct
22 Correct 5 ms 4588 KB Output is correct
23 Correct 7 ms 4588 KB Output is correct
24 Correct 7 ms 4604 KB Output is correct
25 Correct 8 ms 4620 KB Output is correct
26 Correct 8 ms 4620 KB Output is correct
27 Correct 9 ms 4636 KB Output is correct
28 Correct 9 ms 4652 KB Output is correct
29 Correct 9 ms 4652 KB Output is correct
30 Correct 9 ms 4652 KB Output is correct
31 Correct 9 ms 4652 KB Output is correct
32 Correct 11 ms 4652 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 544 ms 43144 KB Output is correct
2 Correct 362 ms 43144 KB Output is correct
3 Correct 414 ms 43144 KB Output is correct
4 Correct 383 ms 43144 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 43144 KB Output is correct
2 Correct 8 ms 43144 KB Output is correct
3 Correct 6 ms 43144 KB Output is correct
4 Correct 7 ms 43144 KB Output is correct
5 Correct 6 ms 43144 KB Output is correct
6 Correct 8 ms 43144 KB Output is correct
7 Correct 6 ms 43144 KB Output is correct
8 Correct 7 ms 43144 KB Output is correct
9 Correct 6 ms 43144 KB Output is correct
10 Correct 6 ms 43144 KB Output is correct
11 Correct 6 ms 43144 KB Output is correct
12 Correct 6 ms 43144 KB Output is correct
13 Correct 7 ms 43144 KB Output is correct
14 Correct 7 ms 43144 KB Output is correct
15 Correct 6 ms 43144 KB Output is correct
16 Correct 6 ms 43144 KB Output is correct
17 Correct 6 ms 43144 KB Output is correct
18 Correct 6 ms 43144 KB Output is correct
19 Correct 5 ms 43144 KB Output is correct
20 Correct 5 ms 43144 KB Output is correct
21 Correct 6 ms 43144 KB Output is correct
22 Correct 7 ms 43144 KB Output is correct
23 Correct 8 ms 43144 KB Output is correct
24 Correct 8 ms 43144 KB Output is correct
25 Correct 7 ms 43144 KB Output is correct
26 Correct 8 ms 43144 KB Output is correct
27 Correct 12 ms 43144 KB Output is correct
28 Correct 8 ms 43144 KB Output is correct
29 Correct 9 ms 43144 KB Output is correct
30 Correct 8 ms 43144 KB Output is correct
31 Correct 9 ms 43144 KB Output is correct
32 Correct 9 ms 43144 KB Output is correct
33 Correct 52 ms 43144 KB Output is correct
34 Correct 53 ms 43144 KB Output is correct
35 Correct 319 ms 43144 KB Output is correct
36 Correct 296 ms 43144 KB Output is correct
37 Correct 89 ms 43144 KB Output is correct
38 Correct 141 ms 43144 KB Output is correct
39 Correct 44 ms 43144 KB Output is correct
40 Correct 262 ms 43144 KB Output is correct
41 Correct 58 ms 43144 KB Output is correct
42 Correct 78 ms 43144 KB Output is correct
43 Correct 291 ms 43144 KB Output is correct
44 Correct 265 ms 43144 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 43144 KB Output is correct
2 Correct 7 ms 43144 KB Output is correct
3 Correct 8 ms 43144 KB Output is correct
4 Correct 6 ms 43144 KB Output is correct
5 Correct 6 ms 43144 KB Output is correct
6 Correct 6 ms 43144 KB Output is correct
7 Correct 5 ms 43144 KB Output is correct
8 Correct 6 ms 43144 KB Output is correct
9 Correct 5 ms 43144 KB Output is correct
10 Correct 6 ms 43144 KB Output is correct
11 Correct 7 ms 43144 KB Output is correct
12 Correct 6 ms 43144 KB Output is correct
13 Correct 7 ms 43144 KB Output is correct
14 Correct 6 ms 43144 KB Output is correct
15 Correct 7 ms 43144 KB Output is correct
16 Correct 7 ms 43144 KB Output is correct
17 Correct 7 ms 43144 KB Output is correct
18 Correct 6 ms 43144 KB Output is correct
19 Correct 6 ms 43144 KB Output is correct
20 Correct 6 ms 43144 KB Output is correct
21 Correct 7 ms 43144 KB Output is correct
22 Correct 7 ms 43144 KB Output is correct
23 Correct 7 ms 43144 KB Output is correct
24 Correct 7 ms 43144 KB Output is correct
25 Correct 7 ms 43144 KB Output is correct
26 Correct 7 ms 43144 KB Output is correct
27 Correct 9 ms 43144 KB Output is correct
28 Correct 8 ms 43144 KB Output is correct
29 Correct 9 ms 43144 KB Output is correct
30 Correct 10 ms 43144 KB Output is correct
31 Correct 8 ms 43144 KB Output is correct
32 Correct 8 ms 43144 KB Output is correct
33 Correct 561 ms 43144 KB Output is correct
34 Correct 392 ms 43144 KB Output is correct
35 Correct 377 ms 43144 KB Output is correct
36 Correct 421 ms 43144 KB Output is correct
37 Correct 60 ms 43144 KB Output is correct
38 Correct 47 ms 43144 KB Output is correct
39 Correct 299 ms 43144 KB Output is correct
40 Correct 282 ms 43144 KB Output is correct
41 Correct 85 ms 43144 KB Output is correct
42 Correct 176 ms 43144 KB Output is correct
43 Correct 59 ms 43144 KB Output is correct
44 Correct 275 ms 43144 KB Output is correct
45 Correct 57 ms 43144 KB Output is correct
46 Correct 70 ms 43144 KB Output is correct
47 Correct 286 ms 43144 KB Output is correct
48 Correct 277 ms 43144 KB Output is correct
49 Correct 154 ms 43144 KB Output is correct
50 Correct 121 ms 43144 KB Output is correct
51 Correct 393 ms 43144 KB Output is correct
52 Correct 320 ms 43144 KB Output is correct
53 Correct 404 ms 43144 KB Output is correct
54 Correct 225 ms 43144 KB Output is correct
55 Correct 125 ms 43144 KB Output is correct
56 Correct 382 ms 43144 KB Output is correct
57 Correct 226 ms 43144 KB Output is correct
58 Correct 310 ms 43144 KB Output is correct
59 Correct 251 ms 43144 KB Output is correct