topcoder SRM 625 DIV2 B

题目

Problem Statement
	You have a vector <int> A with N elements. Your          goal is to change it into a vector <int> that contains each number          from 1 to N exactly once. The change will consist of zero or more          steps. In each step, you may pick an arbitrary element of A          and increment its value by k. You may pick the same element          multiple times. Note that you are not allowed to decrement the value          of any element. You are given the int k and the vector          <int> A. Return "POSSIBLE" if it is possible to achieve          your goal. Return "IMPOSSIBLE" otherwise.
Definition
	Class: IncrementingSequence Method: canItBeDone Parameters: int, vector <int> Returns: string Method signature: string canItBeDone(int k, vector <int> A) (be sure your method is public)
Limits
	Time limit (s): 2.000 Memory limit (MB): 256
Notes
-	Return value is case-sensitive. For example, you can't return          "Possible" or "possible" instead of "POSSIBLE".
Constraints
-	k will be between 1 and 10, inclusive.
-	A will contain between 1 and 50 elements, inclusive.
-	Each element of A will be between 1 and 50, inclusive.
Examples
0)
	3                     {1,2,4,3}                     Returns: "POSSIBLE"               This sequence of length 4 already contains all numbers                      from 1 to 4 exactly once. Note that their order does not                      matter.
1)
	5                     {2,2}                     Returns: "IMPOSSIBLE"
2)
	1                     {1,1,1,1,1,1,1,1}                     Returns: "POSSIBLE"               There are many ways to achieve the goal. For example, it                      is possible to obtain the sequence {1,2,3,4,5,6,7,8}. To                      do this, just increment the element at each position one                      by one until it reaches the required value.
3)
	2                     {5,3,3,2,1}                     Returns: "IMPOSSIBLE"               We want to have the values {1,2,3,4,5}, in any order.                      Currently, we are missing the 4. As k=2, the only                      way to produce a 4 is by incrementing a 2. But if we                      increment our only 2, we will have no way of producing                      another 2.
4)
	9                     {1,2,3,1,4,5,6,7,9,8}                     Returns: "POSSIBLE"
5)
	2                     {1,1,1,1,1,1,2,2,2,2,2,2}                     Returns: "POSSIBLE"
6)
	1                     {1}                     Returns: "POSSIBLE"

This problem statement is the exclusive and proprietary property of      TopCoder, Inc. Any unauthorized use or reproduction of this information      without the prior written consent of TopCoder, Inc. is strictly      prohibited. (c)2003, TopCoder, Inc. All rights reserved.

分析

数据量较小使用模拟过程直接求解。

代码

/**
 * @brief code for tp
 * @author xiyan
 * @date 2014/06/20
 */
//typedef unsigned int size_t;
//typedef signed int ssize_t;
#include <iostream>
#include <string>
#include <vector>
#include <cstring>
using namespace std;
#define MAXN 200          /*maxvak + k*/
#define CLR(p) memset(p, 0, sizeof(p))
#define TRUESTR   "POSSIBLE"
#define FALSESTR  "IMPOSSIBLE"
class IncrementingSequence{
public:
string canItBeDone(ssize_t k, vector<int> vec){
    CLR(ansTable);
    string ans = TRUESTR;
    for(size_t pos = 0; pos < vec.size(); pos++){
            ansTable[vec[pos]]++;
    }
    for(size_t val = 1; val <= vec.size(); val++){
             if(!ansTable[val]){            /*fail*/
                    ans = FALSESTR;
                    break;
             }
             ssize_t leftNums = ansTable[val] - 1;
             ansTable[val + k] += leftNums; /*store left nums*/
    }
    return ans;
}
private:
    ssize_t ansTable[MAXN];
};

来源：oschina

链接：https://my.oschina.net/u/572632/blog/282574