Codeforces Round #304 (Div.2)

正文索引 [隐藏]

小号打场Div2也能挂、、、

A. Soldier and Bananas

A soldier wants to buy w bananas in the shop. He has to pay k dollars for the first banana, 2k dollars for the second one and so on (in other words, he has to pay i·k dollars for the i-th banana).
He has n dollars. How many dollars does he have to borrow from his friend soldier to buy w bananas?

Input

The first line contains three positive integers k, n, w (1  ≤  k, w  ≤  1000, 0 ≤ n ≤ 109), the cost of the first banana, initial number of dollars the soldier has and number of bananas he wants.

Output

Output one integer — the amount of dollars that the soldier must borrow from his friend. If he doesn’t have to borrow money, output 0.

Sample test(s)
input

output

题解

HelloWorld的正确写法!

B. Soldier and Badges

Colonel has n badges. He wants to give one badge to every of his n soldiers. Each badge has a coolness factor, which shows how much it’s owner reached. Coolness factor can be increased by one for the cost of one coin.
For every pair of soldiers one of them should get a badge with strictly higher factor than the second one. Exact values of their factors aren’t important, they just need to have distinct factors.
Colonel knows, which soldier is supposed to get which badge initially, but there is a problem. Some of badges may have the same factor of coolness. Help him and calculate how much money has to be paid for making all badges have different factors of coolness.

Input

First line of input consists of one integer n (1 ≤ n ≤ 3000).
Next line consists of n integers ai (1 ≤ ai ≤ n), which stand for coolness factor of each badge.

Output

Output single integer — minimum amount of coins the colonel has to pay.

Sample test(s)
input

output

input

output

Note

In first sample test we can increase factor of first badge by 1.
In second sample test we can increase factors of the second and the third badge by 1.

题解

贪心、、找最小能转移到的、数组要开6000!

C. Soldier and Cards

Two bored soldiers are playing card war. Their card deck consists of exactly n cards, numbered from 1 to n, all values are different. They divide cards between them in some manner, it’s possible that they have different number of cards. Then they play a “war”-like card game.
The rules are following. On each turn a fight happens. Each of them picks card from the top of his stack and puts on the table. The one whose card value is bigger wins this fight and takes both cards from the table to the bottom of his stack. More precisely, he first takes his opponent’s card and puts to the bottom of his stack, and then he puts his card to the bottom of his stack. If after some turn one of the player’s stack becomes empty, he loses and the other one wins.
You have to calculate how many fights will happen and who will win the game, or state that game won’t end.
Input

First line contains a single integer n (2 ≤ n ≤ 10), the number of cards.
Second line contains integer k1 (1 ≤ k1 ≤ n - 1), the number of the first soldier’s cards. Then follow k1 integers that are the values on the first soldier’s cards, from top to bottom of his stack.
Third line contains integer k2 (k1 + k2 = n), the number of the second soldier’s cards. Then follow k2 integers that are the values on the second soldier’s cards, from top to bottom of his stack.
All card values are different.

Output

If somebody wins in this game, print 2 integers where the first one stands for the number of fights before end of game and the second one is 1 or 2 showing which player has won.
If the game won’t end and will continue forever output  - 1.

Sample test(s)
input

output

input

output

Note

First sample:

Second sample:

题解

模拟+Hash

D. Soldier and Number Game

Two soldiers are playing a game. At the beginning first of them chooses a positive integer n and gives it to the second soldier. Then the second one tries to make maximum possible number of rounds. Each round consists of choosing a positive integer x > 1, such that n is divisible by x and replacing n with n / x. When n becomes equal to 1 and there is no more possible valid moves the game is over and the score of the second soldier is equal to the number of rounds he performed.To make the game more interesting, first soldier chooses n of form a! / b! for some positive integer a and b (a ≥ b). Here by k! we denote the factorial of k that is defined as a product of all positive integers not large than k.
What is the maximum possible score of the second soldier?
Input

First line of input consists of single integer t (1 ≤ t ≤ 1 000 000) denoting number of games soldiers play.
Then follow t lines, each contains pair of integers a and b (1 ≤ b ≤ a ≤ 5 000 000) defining the value of n for a game.

Output

For each game output a maximum score that the second soldier can get.

Sample test(s)
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output

题解

求a!/b!的质因子个数。
素数筛法+预处理+前缀和O(1)询问

E. Soldier and Traveling

In the country there are n cities and m bidirectional roads between them. Each city has an army. Army of the i-th city consists of ai soldiers. Now soldiers roam. After roaming each soldier has to either stay in his city or to go to the one of neighboring cities by at moving along at most one road.
Check if is it possible that after roaming there will be exactly bi soldiers in the i-th city.

Input

First line of input consists of two integers n and m (1 ≤ n ≤ 100, 0 ≤ m ≤ 200).
Next line contains n integers a1, a2, …, an (0 ≤ ai ≤ 100).
Next line contains n integers b1, b2, …, bn (0 ≤ bi ≤ 100).
Then m lines follow, each of them consists of two integers p and q (1 ≤ p, q ≤ n, p ≠ q) denoting that there is an undirected road between cities p and q.
It is guaranteed that there is at most one road between each pair of cities.

Output

If the conditions can not be met output single word “NO“.
Otherwise output word “YES” and then n lines, each of them consisting of n integers. Number in the i-th line in the j-th column should denote how many soldiers should road from city i to city j (if i ≠ j) or how many soldiers should stay in city i (if i = j).
If there are several possible answers you may output any of them.

Sample test(s)
input

output

input

output

题解

唯一一题可做的、、结果我还FST了、
数据范围很明显网络流。
源连左边n个点,流量原来的点权。右边n个点连汇,流量最终的点权。中间双向边就是左边和右边的点相互连,流量无限。最后左边的自己连右边的自己,流量无限。跑最大流,根据残存网络求方案!
要特判,初始状态人数大于最终状态人数的情况,这样是无法做到的!(然而这种情况下网络流会满流、、然后Wa On Test47!