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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#447355 | #8723. 乘二 | Zipper | WA | 49ms | 9344kb | C++14 | 2.8kb | 2024-06-18 10:39:25 | 2024-06-18 10:39:26 |
Judging History
answer
#include<iostream>
#include<math.h>
#include<algorithm>
using namespace std;
#define int long long
const int N = 2e5 + 5, p = 1e9 + 7;
pair<int, int> nums[N], heap[N];
int ans, arr[N], Logarr[N], dLog[N];
bool smaller(pair<int, int> a, pair<int, int> b)
{
double x = log2(nums[a.first].first) + nums[a.first].second;
double y = log2(nums[b.first].first) + nums[b.first].second;
if (x < y) return true; else return false;
}
void heapInsert(int idx)
{
while (idx != 0 && smaller(heap[idx], heap[idx / 2]))
{
pair<int, int> tmp = heap[idx]; heap[idx] = heap[idx / 2];
heap[idx / 2] = tmp; idx = idx / 2;
}
}
void heapify(int idx, int size)
{
int l = 2 * idx;
while (l <= size)
{
int mini = l + 1 <= size && smaller
(heap[l + 1], heap[l]) ? l + 1 : l;
if (smaller(heap[idx], heap[mini])) break;
pair<int, int> tmp = heap[mini]; heap[mini] = heap[idx];
heap[idx] = tmp; idx = mini; l = 2 * idx;
}
}
int power(int a, int b)
{
int tmp = 2, ans = 1;
while (b > 0)
{
if (b % 2) ans = (ans * tmp) % p;
tmp = (tmp * tmp) % p; b /= 2;
}
return (a * ans) % p;
}
//小根堆维护最小值
//signed main()
//{
// int n, k; cin >> n >> k;
// for (int i = 1; i <= n; i++)
// {
// cin >> nums[i].first;
// nums[i].second = 0;
// heap[i] = { i, nums[i].first };
// heapInsert(i);
// }
//
// for (int i = 0; i < k; i++)
// {
// //时间复杂度O(k*logn),k比较大时无法在时限内得到结果
// heap[1].second = (heap[1].second * 2) % p;
// nums[heap[1].first].second++; heapify(1, n);
// }
//
// for (int i = 1; i <= n; i++)
// {
// ans += heap[i].second; ans %= p;
// }
// cout << ans;
//
// return 0;
//}
signed main()
{
int n, k; cin >> n >> k;
for (int i = 1; i <= n; i++)
{
cin >> arr[i];
}
sort(arr + 1, arr + n + 1);
for (int i = 1; i <= n; i++)
{
Logarr[i] = log2(arr[i]);
}
//dLog[i]表示把前i个数的log2值都变成
//log2(arr[i])所需要的操作次数
for (int i = 1; i <= n; i++)
{
dLog[i] = dLog[i - 1] + (i - 1) *
(Logarr[i] - Logarr[i - 1]);
}
int stop = n, times = 0;
for (int i = 1; i <= n; i++)
{
if (k < dLog[i])
{
stop = i - 1; break;
}
}
times = k - dLog[stop];
//先把前stop - 1个数都不断乘而直至它们的log2值都等于log2(arr[stop])
//再把剩下的操作次数(times)***队前优先平均***分给前stop个数
//由于可以使用快速幂,所以会比小根堆的实现更快
for (int i = 1; i < stop; i++)
{
arr[i] = power(arr[i], Logarr[stop] - Logarr[i]);
}
int t = times / stop, s = times - t * stop;
for (int i = 1; i <= stop; i++)
{
if (i <= s) arr[i] = power(arr[i], t + 1);
else arr[i] = power(arr[i], t);
}
for (int i = 1; i <= n; i++)
{
ans += arr[i]; ans %= p;
}
cout << ans;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 5712kb
input:
3 3 7 2 1
output:
15
result:
ok 1 number(s): "15"
Test #2:
score: -100
Wrong Answer
time: 49ms
memory: 9344kb
input:
200000 1605067 366760624 67854 93901 693975 27016 1046 10808 6533158 54778 500941023 77236442 32173 10431454 2 9726 1553148 89282 411182309 494073 131299543 249904771 7906930 353 9909 3632698 29156 1917186 303 737 1189004 22 1983 263 711 4106258 2070 36704 12524642 5192 123 2061 22887 66 380 1 10153...
output:
609616159
result:
wrong answer 1st numbers differ - expected: '707034173', found: '609616159'