606第十周周六赛G - Verdis Quo罗马数字表示

G - Verdis Quo

Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u

Submit  Status  Practice  HDU 2352

Description

The Romans used letters from their Latin alphabet to represent each of the seven numerals in their number system. The list below shows which 
letters they used and what numeric value each of those letters represents: 

I = 1 
V = 5 
X = 10 
L = 50 
C = 100 
D = 500 
M = 1000 

Using these seven numerals, any desired number can be formed by following the two basic additive and subtractive rules. To form a number using 
the additive rule the Roman numerals are simply written from left to right in descending order, and the value of each roman numeral is added 
together. For example, the number MMCLVII has the value 1000 + 1000 + 100 + 50 + 5 + 1 + 1 = 2157. Using the addition rule alone could lead to 
very long strings of letters, so the subtraction rule was invented as a result. Using this rule, a smaller Roman numeral to the left of a larger one is 
subtracted from the total. In other words, the number MCMXIV is interpreted as 1000 - 100 + 1000 + 10 - 1 + 5 = 1914. 

Over time the Roman number writing system became more standardized and several additional rules were developed. The additional rules used today 
are: 

1. The I, X, or C Roman numerals may only be repeated up to three times in succession. In other words, the number 4 must be represented as IV 
and not as IIII. 
2. The V, L, or D numerals may never be repeated in succession, and the M numeral may be repeated as many 2. times as necessary. 
3. Only one smaller numeral can be placed to the left of another. For example, the number 18 is represented as XVIII but not as XIIX. 
4. Only the I, X, or C can be used as subtractive numerals. 
5. A subtractive I can only be used to the left of a V or X. Likewise a X can only appear to the left of a L or C, and a C can only be used to the 
left of a D or M. For example, 49 must be written as XLIX and not as IL. 

Your goal is to write a program which converts Roman numbers to base 10 integers.

 

Input

The input to this problem will consist of the following: 

A line with a single integer "N" (1 ≤ N ≤ 1000), where N indicates how many Roman numbers are to be converted. 
A series of N lines of input with each line containing one Roman number. Each Roman number will be in the range of 1 to 10,000 (inclusive) 
and will obey all of the rules laid out in the problem's introduction.

 

Output

For each of the N Roman numbers, print the equivalent base 10 integer, one per line.

 

Sample Input

      
      
      
      

       
       
       
       3
IX
MMDCII
DXII 
      
      
      
      

 

Sample Output

      
      
      
      

       
       
       
       9
2602
512
      
      
      
      

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43

#include<stdio.h>
#include<string.h>
int main()
{
    int m,i,j,n,k,b[1001];
    char a[1001];
    scanf("%d",&n);
    getchar();
    while(n--)
    {
        memset(b,0,sizeof(b));
        gets(a);
        int s=strlen(a);
        for(i=0; i<s; i++)
        {
            if(a[i]=='I')
                b[i]=1;
            else if(a[i]=='V')
                b[i]=5;
            else if(a[i]=='X')
                b[i]=10;
            else if(a[i]=='L')
                b[i]=50;
            else if(a[i]=='C')
                b[i]=100;
            else if(a[i]=='D')
                b[i]=500;
            else if(a[i]=='M')
                b[i]=1000;

        }
        k=0;
        for(i=0; i<s; i++)
        {
            k+=b[i];
            for(j=i-1; j>=0; j--)
                if(b[j]<b[i])
                    k-=2*b[j];
        }
        printf("%d\n",k);
    }
    return 0;
}