oj.uz

Submission #238902

# Submission time Handle Problem Language Result Execution time Memory
238902 2020-06-13T12:30:50 Z nicolaalexandra Horses (IOI15_horses) C++14
100 / 100
 721 ms 70168 KB 
#include <bits/stdc++.h>
#include "horses.h"
#define DIM 500010
#define MOD 1000000007 /// puneam 10^9 + 9.............

using namespace std;

int x[DIM],y[DIM],XX[DIM],YY[DIM],prod[DIM];
long double sum_log[DIM];
int n;

int lg_put (int a, int b){
    if (!b)
        return 1;
    int nr = lg_put (a,b/2);
    if (b%2)
        return 1LL*(1LL * nr * nr % MOD) * a % MOD;
    else return (1LL * nr * nr % MOD);
}

struct segment_tree{
    long double maxi_log,lazy_log; /// logaritmii
    int maxi,lazy; /// produsele modulo
} aint[DIM*4];

void build (int nod, int st, int dr){
    aint[nod].lazy = 1;
    if (st == dr){
        /// x[1] * x[2] * ... x[st] * y[st];
        aint[nod].maxi_log = sum_log[st] + log(y[st]);
        aint[nod].maxi = 1LL * prod[st] * y[st] % MOD;
        return;
    }
    int mid = (st+dr)>>1;
    build (nod<<1,st,mid);
    build ((nod<<1)|1,mid+1,dr);


    if (aint[nod<<1].maxi_log > aint[(nod<<1)|1].maxi_log)
        aint[nod] = aint[nod<<1];
    else aint[nod] = aint[(nod<<1)|1];

}


int init (int N, int X[], int Y[]){
    n = N;
    for (int i=0;i<n;i++)
        x[i+1] = X[i], y[i+1] = Y[i];

    prod[0] = 1;
    for (int i=1;i<=n;i++){
        sum_log[i] = sum_log[i-1] + log (x[i]);
        prod[i] = 1LL * prod[i-1] * x[i] % MOD;
    }

    build (1,1,n);

    return aint[1].maxi;
}

void update_lazy (int nod, int st, int dr){
    if (st != dr){
        int fiu_st = nod<<1, fiu_dr = (nod<<1)|1;
        aint[fiu_st].maxi_log += aint[nod].lazy_log;
        aint[fiu_st].lazy_log += aint[nod].lazy_log;
        aint[fiu_st].maxi = 1LL * aint[fiu_st].maxi * aint[nod].lazy % MOD;
        aint[fiu_st].lazy = 1LL * aint[fiu_st].lazy * aint[nod].lazy % MOD;

        aint[fiu_dr].maxi_log += aint[nod].lazy_log;
        aint[fiu_dr].lazy_log += aint[nod].lazy_log;
        aint[fiu_dr].maxi = 1LL * aint[fiu_dr].maxi * aint[nod].lazy % MOD;
        aint[fiu_dr].lazy = 1LL * aint[fiu_dr].lazy * aint[nod].lazy % MOD;
    }
    aint[nod].lazy_log = 0;
    aint[nod].lazy = 1;
}

void update (int nod, int st, int dr, int x, int y, long double val_log, int val){
    update_lazy(nod,st,dr);
    if (x <= st && dr <= y){
        aint[nod].maxi_log += val_log;
        aint[nod].maxi = 1LL * aint[nod].maxi * val % MOD;

        aint[nod].lazy_log += val_log;
        aint[nod].lazy = 1LL * aint[nod].lazy * val % MOD;

        update_lazy(nod,st,dr);
        return;
    }
    int mid = (st+dr)>>1;
    if (x <= mid)
        update (nod<<1,st,mid,x,y,val_log,val);
    if (y > mid)
        update ((nod<<1)|1,mid+1,dr,x,y,val_log,val);

    update_lazy (nod<<1,st,mid);
    update_lazy ((nod<<1)|1,mid+1,dr);

    if (aint[nod<<1].maxi_log > aint[(nod<<1)|1].maxi_log){
        aint[nod].maxi_log = aint[nod<<1].maxi_log;
        aint[nod].maxi = aint[nod<<1].maxi;
    } else {
        aint[nod].maxi_log = aint[(nod<<1)|1].maxi_log;
        aint[nod].maxi = aint[(nod<<1)|1].maxi;
    }
}


int updateX(int pos, int val) {

    pos++;
  
    update (1,1,n,pos,n,-log(x[pos]),lg_put(x[pos],MOD-2));

    x[pos] = val;

    update (1,1,n,pos,n,log(x[pos]),x[pos]);

    update_lazy (1,1,n);

	return aint[1].maxi;
}

int updateY(int pos, int val) {

	pos++;

	update (1,1,n,pos,pos,-log(y[pos]),lg_put(y[pos],MOD-2));
	y[pos] = val;

	update (1,1,n,pos,pos,log(y[pos]),y[pos]);

	update_lazy (1,1,n);

	return aint[1].maxi;
}

Compilation message

horses.cpp: In function 'int lg_put(int, int)':
horses.cpp:17:46: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         return 1LL*(1LL * nr * nr % MOD) * a % MOD;
                                              ^
horses.cpp:18:32: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
     else return (1LL * nr * nr % MOD);
                 ~~~~~~~~~~~~~~~^~~~~~
horses.cpp: In function 'void build(int, int, int)':
horses.cpp:31:49: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[nod].maxi = 1LL * prod[st] * y[st] % MOD;
                                                 ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:54:42: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         prod[i] = 1LL * prod[i-1] * x[i] % MOD;
                                          ^
horses.cpp: In function 'void update_lazy(int, int, int)':
horses.cpp:67:70: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[fiu_st].maxi = 1LL * aint[fiu_st].maxi * aint[nod].lazy % MOD;
                                                                      ^
horses.cpp:68:70: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[fiu_st].lazy = 1LL * aint[fiu_st].lazy * aint[nod].lazy % MOD;
                                                                      ^
horses.cpp:72:70: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[fiu_dr].maxi = 1LL * aint[fiu_dr].maxi * aint[nod].lazy % MOD;
                                                                      ^
horses.cpp:73:70: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[fiu_dr].lazy = 1LL * aint[fiu_dr].lazy * aint[nod].lazy % MOD;
                                                                      ^
horses.cpp: In function 'void update(int, int, int, int, int, long double, int)':
horses.cpp:79:81: warning: declaration of 'y' shadows a global declaration [-Wshadow]
 void update (int nod, int st, int dr, int x, int y, long double val_log, int val){
                                                                                 ^
horses.cpp:8:12: note: shadowed declaration is here
 int x[DIM],y[DIM],XX[DIM],YY[DIM],prod[DIM];
            ^
horses.cpp:79:81: warning: declaration of 'x' shadows a global declaration [-Wshadow]
 void update (int nod, int st, int dr, int x, int y, long double val_log, int val){
                                                                                 ^
horses.cpp:8:5: note: shadowed declaration is here
 int x[DIM],y[DIM],XX[DIM],YY[DIM],prod[DIM];
     ^
horses.cpp:83:53: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[nod].maxi = 1LL * aint[nod].maxi * val % MOD;
                                                     ^
horses.cpp:86:53: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
         aint[nod].lazy = 1LL * aint[nod].lazy * val % MOD;
                                                     ^

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 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 4 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 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 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 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 5 ms 384 KB Output is correct
18 Correct 4 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 5 ms 384 KB Output is correct
4 Correct 5 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 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 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 7 ms 512 KB Output is correct
24 Correct 8 ms 512 KB Output is correct
25 Correct 7 ms 512 KB Output is correct
26 Correct 7 ms 512 KB Output is correct
27 Correct 8 ms 512 KB Output is correct
28 Correct 7 ms 512 KB Output is correct
29 Correct 9 ms 512 KB Output is correct
30 Correct 7 ms 512 KB Output is correct
31 Correct 7 ms 512 KB Output is correct
32 Correct 7 ms 512 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 441 ms 69728 KB Output is correct
2 Correct 637 ms 69972 KB Output is correct
3 Correct 594 ms 70092 KB Output is correct
4 Correct 721 ms 70008 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 4 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 5 ms 384 KB Output is correct
8 Correct 5 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 5 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 5 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 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 8 ms 512 KB Output is correct
24 Correct 8 ms 568 KB Output is correct
25 Correct 8 ms 512 KB Output is correct
26 Correct 7 ms 512 KB Output is correct
27 Correct 9 ms 512 KB Output is correct
28 Correct 8 ms 512 KB Output is correct
29 Correct 7 ms 512 KB Output is correct
30 Correct 8 ms 512 KB Output is correct
31 Correct 7 ms 512 KB Output is correct
32 Correct 7 ms 512 KB Output is correct
33 Correct 148 ms 69240 KB Output is correct
34 Correct 149 ms 69320 KB Output is correct
35 Correct 169 ms 69112 KB Output is correct
36 Correct 171 ms 69116 KB Output is correct
37 Correct 137 ms 69344 KB Output is correct
38 Correct 149 ms 69240 KB Output is correct
39 Correct 109 ms 69252 KB Output is correct
40 Correct 150 ms 69240 KB Output is correct
41 Correct 107 ms 69240 KB Output is correct
42 Correct 113 ms 69244 KB Output is correct
43 Correct 100 ms 69240 KB Output is correct
44 Correct 100 ms 69112 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 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 5 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 5 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 4 ms 384 KB Output is correct
11 Correct 5 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 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 5 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 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 7 ms 564 KB Output is correct
24 Correct 8 ms 512 KB Output is correct
25 Correct 7 ms 512 KB Output is correct
26 Correct 7 ms 512 KB Output is correct
27 Correct 8 ms 512 KB Output is correct
28 Correct 7 ms 512 KB Output is correct
29 Correct 7 ms 512 KB Output is correct
30 Correct 7 ms 512 KB Output is correct
31 Correct 7 ms 512 KB Output is correct
32 Correct 7 ms 512 KB Output is correct
33 Correct 442 ms 70136 KB Output is correct
34 Correct 645 ms 70076 KB Output is correct
35 Correct 583 ms 70168 KB Output is correct
36 Correct 661 ms 70136 KB Output is correct
37 Correct 144 ms 69112 KB Output is correct
38 Correct 139 ms 69240 KB Output is correct
39 Correct 178 ms 68984 KB Output is correct
40 Correct 164 ms 68984 KB Output is correct
41 Correct 120 ms 69132 KB Output is correct
42 Correct 143 ms 69112 KB Output is correct
43 Correct 110 ms 69112 KB Output is correct
44 Correct 145 ms 69112 KB Output is correct
45 Correct 105 ms 69244 KB Output is correct
46 Correct 100 ms 69112 KB Output is correct
47 Correct 89 ms 68856 KB Output is correct
48 Correct 94 ms 68984 KB Output is correct
49 Correct 648 ms 69984 KB Output is correct
50 Correct 646 ms 70136 KB Output is correct
51 Correct 535 ms 69832 KB Output is correct
52 Correct 590 ms 69752 KB Output is correct
53 Correct 645 ms 69960 KB Output is correct
54 Correct 646 ms 69752 KB Output is correct
55 Correct 474 ms 69112 KB Output is correct
56 Correct 568 ms 69880 KB Output is correct
57 Correct 477 ms 69752 KB Output is correct
58 Correct 530 ms 69844 KB Output is correct
59 Correct 90 ms 68600 KB Output is correct