Time Limit: Java: 2000 ms / Others: 2000 ms

Memory Limit: Java: 65536 KB / Others: 65536 KB

Recently, there was an international volleyball championship. Speaking of volleyball,
we are interested in the probability of winning of one or another team, if we
know some information about the teams. Here are the rules of the game and the
necessary information:

the match is played by two teams: A and B;

the first team to win K games in a match, wins the match;

each game consists of rounds; each round is won by one of the teams, and the
team adds one point to its score for the current game;

the first team to win L points in a game, wins the game;

if team A serves the ball in a round, it has Pa% chance to win the round (and
(100-Pa)% to loose it);

if team B serves the ball in a round, it has Pb% chance to win the round (and
(100-Pb)% to loose it);

if a round is not the first in a game, the ball in the round is served by the
team that won the last round;

if a game is not the first in a match, the ball in the first round of the game
is served by the team that did not served the ball in the first round of the
previous game;

both teams have an equal chance to serve the ball in the first round of the
very first game of a match.

So, for given values of Pa, Pb, K, and L, you have to compute the probability,
as a percent, for team A to win the match.

There is one number in the first line - the number of data sets. Each data set consists of a single line with four integers on it: Pa, Pb, K, and L (1 <= K <= 100, 1 <= L <= 100).

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