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题目链接:http://acm.split.hdu.edu.cn/showproblem.php?pid=5744
题意:给你n个字符的数量,要求组合成多个回文串,问如何组合使得这个回文串集合里最短的那一条回文串最长。
分情况讨论,所给的n个字符数量都是偶数或仅有一个奇数,那么这个串可以是全部字符组合成的,长度为∑ai。
如果有两个以上的奇数量(k)字符,那么最好的方法就是平均分成k个回文串。把这些奇数量的字符数量-1,则剩下的都是偶数的了。之后平均分配给所有串,每个串的长度为(sum/2)/odd*2+1
1 /* 2 ━━━━━┒ギリギリ♂ eye! 3 ┓┏┓┏┓┃キリキリ♂ mind! 4 ┛┗┛┗┛┃\○/ 5 ┓┏┓┏┓┃ / 6 ┛┗┛┗┛┃ノ) 7 ┓┏┓┏┓┃ 8 ┛┗┛┗┛┃ 9 ┓┏┓┏┓┃ 10 ┛┗┛┗┛┃ 11 ┓┏┓┏┓┃ 12 ┛┗┛┗┛┃ 13 ┓┏┓┏┓┃ 14 ┃┃┃┃┃┃ 15 ┻┻┻┻┻┻ 16 */ 17 #include <algorithm> 18 #include <iostream> 19 #include <iomanip> 20 #include <cstring> 21 #include <climits> 22 #include <complex> 23 #include <fstream> 24 #include <cassert> 25 #include <cstdio> 26 #include <bitset> 27 #include <vector> 28 #include <deque> 29 #include <queue> 30 #include <stack> 31 #include <ctime> 32 #include <set> 33 #include <map> 34 #include <cmath> 35 using namespace std; 36 #define fr first 37 #define sc second 38 #define cl clear 39 #define BUG puts("here!!!") 40 #define W(a) while(a--) 41 #define pb(a) push_back(a) 42 #define Rint(a) scanf("%d", &a) 43 #define Rs(a) scanf("%s", a) 44 #define Cin(a) cin >> a 45 #define FRead() freopen("in", "r", stdin) 46 #define FWrite() freopen("out", "w", stdout) 47 #define Rep(i, len) for(int i = 0; i < (len); i++) 48 #define For(i, a, len) for(int i = (a); i < (len); i++) 49 #define Cls(a) memset((a), 0, sizeof(a)) 50 #define Clr(a, x) memset((a), (x), sizeof(a)) 51 #define Full(a) memset((a), 0x7f7f7f, sizeof(a)) 52 #define lrt rt << 1 53 #define rrt rt << 1 | 1 54 #define pi 3.14159265359 55 #define RT return 56 #define lowbit(x) x & (-x) 57 #define onecnt(x) __builtin_popcount(x) 58 typedef long long LL; 59 typedef long double LD; 60 typedef unsigned long long ULL; 61 typedef pair<int, int> pii; 62 typedef pair<string, int> psi; 63 typedef pair<LL, LL> pll; 64 typedef map<string, int> msi; 65 typedef vector<int> vi; 66 typedef vector<LL> vl; 67 typedef vector<vl> vvl; 68 typedef vector<bool> vb; 69 70 const int maxn = 100100; 71 int n; 72 int a[maxn]; 73 int s1, s2, odd; 74 75 int main() { 76 // FRead(); 77 int T; 78 Rint(T); 79 W(T) { 80 s1 = s2 = odd = 0; 81 Rint(n); 82 Rep(i, n) { 83 Rint(a[i]); 84 if(a[i] & 1) { 85 odd++; 86 s2 += a[i] - 1; 87 } 88 else s2 += a[i]; 89 s1 += a[i]; 90 } 91 if(odd < 2) { 92 printf("%d\n", s1); 93 continue; 94 } 95 printf("%d\n", s2/2/odd*2+1); 96 } 97 RT 0; 98 }
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原文地址:http://www.cnblogs.com/vincentX/p/5811514.html