CF145B.Lucky Number 2
普及+/提高
通过率:0%
时间限制:2.00s
内存限制:256MB
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题目描述
Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = _a_1, cnt(7) = _a_2, cnt(47) = _a_3, cnt(74) = _a_4. Petya is not interested in the occurrences of other numbers. Help him cope with this task.
佩佳非常喜欢幸运数字。众所周知,幸运数字是指十进制表示中仅包含幸运数字 4 和 7 的正整数。例如,47、744、4 是幸运数字,而 5、17、467 则不是。
佩佳尤其钟爱较长的幸运数字。他感兴趣的是满足某些条件的最小幸运数字 $ d $。令 $ \text{cnt}(x) $ 表示数字 $ x $ 作为子串在数字 $ d $ 中出现的次数。例如,若 $ d = 747747 $,则 $ \text{cnt}(4) = 2 , \text{cnt}(7) = 4 , \text{cnt}(47) = 2 , \text{cnt}(74) = 2 。佩佳希望同时满足以下条件: \text{cnt}(4) = a_1 , \text{cnt}(7) = a_2 , \text{cnt}(47) = a_3 , \text{cnt}(74) = a_4 $。佩佳不关心其他数字的出现次数。请帮助他完成这项任务。
输入格式
The single line contains four integers _a_1, _a_2, _a_3 and _a_4 (1 ≤ _a_1, _a_2, _a_3, _a_4 ≤ 106).
单行包含四个整数 a1、a2、a3 和 a4(1 ≤ a1, a2, a3, a4 ≤ 106)。
输出格式
On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = _a_1, cnt(7) = _a_2, cnt(47) = _a_3, cnt(74) = _a_4. If such number does not exist, print the single number "-1" (without the quotes).
在单行中输出问题的答案——满足条件的最小幸运数 d,使得 cnt(4)=a1、cnt(7)=a2、cnt(47)=a3、cnt(74)=a4。输出时不得有前导零。若不存在这样的数,则输出单个数字 “-1”(不带引号)。
输入输出样例
输入#1
2 2 1 1
输出#1
4774
输入#2
4 7 3 1
输出#2
-1
输入解题思路,AI测评打分。不知道怎么写?