Codeforces Round #333 (Div. 2) A. Two Bases

简介:
A. Two Bases
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

After seeing the "ALL YOUR BASE ARE BELONG TO US" meme for the first time, numbers X and Y realised that they have different bases, which complicated their relations.

You're given a number X represented in base bx and a number Y represented in base by. Compare those two numbers.

Input

The first line of the input contains two space-separated integers n and bx (1 ≤ n ≤ 102 ≤ bx ≤ 40), where n is the number of digits in the bx-based representation of X.

The second line contains n space-separated integers x1, x2, ..., xn (0 ≤ xi < bx) — the digits of X. They are given in the order from the most significant digit to the least significant one.

The following two lines describe Y in the same way: the third line contains two space-separated integers m and by (1 ≤ m ≤ 10,2 ≤ by ≤ 40bx ≠ by), where m is the number of digits in the by-based representation of Y, and the fourth line contains m space-separated integers y1, y2, ..., ym (0 ≤ yi < by) — the digits of Y.

There will be no leading zeroes. Both X and Y will be positive. All digits of both numbers are given in the standard decimal numeral system.

Output

Output a single character (quotes for clarity):

  • '<' if X < Y
  • '>' if X > Y
  • '=' if X = Y
Sample test(s)
input
6 2
1 0 1 1 1 1
2 10
4 7
output
=
input
3 3
1 0 2
2 5
2 4
output
<
input
7 16
15 15 4 0 0 7 10
7 9
4 8 0 3 1 5 0
output
>
Note

In the first sample, X = 1011112 = 4710 = Y.

In the second sample, X = 1023 = 215 and Y = 245 = 1123, thus X < Y.

In the third sample,  and Y = 48031509. We may notice that X starts with much larger digits and bx is much larger than by, so X is clearly larger than Y.

题意:

给你两个数,让你比较大小,但是进制不同,位数也不一定相同

解题思路:

直接模拟做,全都化成十进制数在做。。

上代码

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <queue>
#include <algorithm>
#include <set>
using namespace std;

#define MM(a) memset(a,0,sizeof(a))

typedef long long LL;
typedef unsigned long long ULL;
const int maxn = 1e5+5;
const int mod = 1e9+7;
const double eps = 1e-10;
const int INF = 0x3f3f3f3f;
LL gcd(LL a, LL b)
{
    if(b == 0)
        return a;
    return gcd(b, a%b);
}
LL a[maxn], b[maxn];
int main()
{
    LL n1, n2, num1, num2;
    cin>>n1>>num1;
    for(int i=0; i<n1; i++)
        cin>>a[i];
    LL sum1 = 0, sum2 = 0;
    for(int i=n1-1; i>=0; i--)
    {
        LL sum = 1;
        for(int j=0; j<n1-1-i; j++)
            sum *= num1;
        sum1 += a[i]*sum;
    }
    ///cout<<sum1<<endl;
    cin>>n2>>num2;
    for(int i=0; i<n2; i++)
        cin>>b[i];
    for(int i=n2-1; i>=0; i--)
    {
        LL sum = 1;
        for(int j=0; j<n2-1-i; j++)
            sum *= num2;
        sum2 += b[i]*sum;
    }
    ///cout<<sum2<<endl;
    if(sum1 == sum2)
        puts("=");
    else if(sum1 < sum2)
        puts("<");
    else
        puts(">");
    return 0;
}
/**
10 16
15 15 4 0 0 0 0 7 10 9
7 9
4 8 0 3 1 5 0

*/



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