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IATI2019 Azerbaijan selection round based on Croatian Open Olympiad Round 3 2011/2012

DHONDT

In the beginning of December, parliamentary elections were held in our country. Azerbaijan is divided in 10 election regions . From each region, 14 parliamentary representatives are elected. Each of the voters is voting for one of the few parties. After voting, the representatives are elected using the D'Hondt (D"Ont) method. By this method, first we select parties which gathered at least 5% of the votes. Number of votes of each of the selected parties is then divided by every number from 1 to 14. In this way we assign 14 rational numbers - let’s call them ‘scores’ - to each of the parties. First of the 14 representatives in a region is chosen from a party with the largest score. Second representative is selected from a party with the second largest score. The third... This procedure continues until all of the 14 places are elected. Remark: There will always be a unique way to elect the representatives, i.e. no two scores will be equal. Write a program that, given the total number of voters and number of votes each party gained, determines how many politicians were elected as region representatives from each party. Some parties have gained negligible number of votes and will not be in the input - that is the reason that the total number of voters might not be equal to the sum of list votes in the input.

Input:

First line of input contains a positive integer X (1X2 500 000), total number of voters in the region. Second line of input contains a positive integer N (0N10), number of parties we are considering. Next N lines contain two positive integers divided by a single space: party identifier (capital letter of English alphabet) and a positive integer G (0G250 000), number of votes gained by that party.

Output:

Output is consisted of number of lines equal to the number of parties which had at least 5% of the votes. For each of these parties, print a party identifier and a number of parliamentary representatives elected from that party. Lines should be sorted by identifiers, alphabeticaly.

Time limit 1 second
Memory limit 32 MiB
Input example #1
235217
3
A 107382
C 18059
B 43265
Output example #1
A 9
B 4
C 1
Input example #2
245143
4
F 14845
A 104516
B 52652
C 14161
Output example #2
A 8
B 4
C 1
F 1
Input example #3
206278
5
D 44687
A 68188
C 7008
B 48377
G 9665
Output example #3
A 6
B 4
D 4
Source IATI2019 Azerbaijan Selection based on Croatian Open Olympiad Round3 2011/2012