贪心/二分查找 BestCoder Round #43 1002 pog loves szh II

 

题目传送门

 1 /*  2  贪心/二分查找:首先对ai%=p,然后sort,这样的话就有序能使用二分查找。贪心的思想是每次找到一个aj使得和为p-1(如果有的话)  3  当然有可能两个数和超过p,那么an的值最优,每次还要和an比较  4  注意:不能选取两个相同的数  5  反思:比赛时想到了%p和sort,lower_bound,但是还是没有想到这个贪心方法保证得出最大值,还是题目做的少啊:(  6 */  7 #include <cstdio>  8 #include <algorithm>  9 #include <cstring> 10 #include <cmath> 11 using namespace std; 12 13 typedef long long ll; 14 const int MAXN = 1e5 + 10; 15 const int INF = 0x3f3f3f3f; 16 ll a[MAXN]; 17 18 int main(void) //BestCoder Round #43 1002 pog loves szh II 19 { 20 // freopen ("B.in", "r", stdin); 21 22 int n; ll p; 23 while (scanf ("%d%I64d", &n, &p) == 2) 24  { 25 for (int i=1; i<=n; ++i) {scanf ("%I64d", &a[i]); a[i] %= p;} 26 sort (a+1, a+1+n); 27 28 ll ans = 0; 29 for (int i=1; i<=n; ++i) 30  { 31 int pos = lower_bound (a+1+i, a+1+n, p - a[i]) - a; pos--; 32 if (pos <= n && pos != i) ans = max (ans, (a[i] + a[pos]) % p); 33 if (i != n) ans = max (ans, (a[i] + a[n]) % p); 34  } 35 36 printf ("%I64d\n", ans); 37  } 38 39 return 0; 40 }

 

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