UVa 668 - Parliament (贪心)

题意

给一个数字,输出将其拆分成不同的,乘积最大的数。

思路

这里有一个”显(Y)然(Y)”的结论:数分得越多,越平均,乘积越大。

所以从2开始,2+3+4+…+k <= sum。

然后把sum-k从后面开始,把前面的数都+1

还可能会多1,就给最后那个。

代码

#include <cstdio>
#include <stack>
#include <list>
#include <set>
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <functional>
#include <cstring>
#include <iomanip>
#include <algorithm>
#include <cctype>
#include <string>
#include <map>
#include <cmath>
using namespace std;
#define LL long long
#define ULL unsigned long long
#define SZ(x) (int)x.size()
#define Lowbit(x) ((x) & (-x))
#define MP(a, b) make_pair(a, b)
#define MS(arr, num) memset(arr, num, sizeof(arr))
#define PB push_back
#define X first
#define Y second
#define ROP freopen("input.txt", "r", stdin);
#define MID(a, b) (a + ((b - a) >> 1))
#define LC rt << 1, l, mid
#define RC rt << 1|1, mid + 1, r
#define LRT rt << 1
#define RRT rt << 1|1
#define BitCount(x) __builtin_popcount(x)
#define BitCountll(x) __builtin_popcountll(x)
#define LeftPos(x) 32 - __builtin_clz(x) - 1
#define LeftPosll(x) 64 - __builtin_clzll(x) - 1
const double PI = acos(-1.0);
const int INF = 0x3f3f3f3f;
const double eps = 1e-8;
const int MAXN = 100 + 10;
const int MOD = 1000007;
const int dir[][2] = { {-1, 0}, {1, 0}, {0, -1}, {0, 1} };
int cases = 0;
typedef pair<int, int> pii;
typedef vector<int>::iterator viti;
typedef vector<pii>::iterator vitii;
 
int main()
{
    int T, i, j;
    scanf("%d", &T);
    while (T--)
    {
        vector<int> ans;
        int n;
        scanf("%d", &n);
        for (int i = 2; i <= n; i++)
        {
            ans.PB(i);
            n -= i;
        }
        for (int i = SZ(ans) - 1; i >= 0 && n; i--) ans[i]++, n--;
        if (n) ans.back()++;
        for (int i = 0; i < SZ(ans); i++)
            if (i) printf(" %d", ans[i]);
            else printf("%d", ans[0]);
        puts("");
        if (T) puts("");
    }
    return 0;
}

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