A. Guess a number! time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output A TV show called Guess a number! is gathering popularity. The whole Berland, the old and the young, are watchin
A. Guess a number!
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output
A TV show called "Guess a number!" is gathering popularity. The whole Berland, the old and the young, are watching the show.
The rules are simple. The host thinks of an integer y and the participants guess it by asking questions to the host. There are four types of acceptable questions:
On each question the host answers truthfully, "yes" or "no".
Given the sequence of questions and answers, find any integer value of y that meets the criteria of all answers. If there isn't such value, print "Impossible".
Input
The first line of the input contains a single integer n (1?≤?n?≤?10000) — the number of questions (and answers). Next n lines each contain one question and one answer to it. The format of each line is like that: "sign x answer", where the sign is:
All values of x are integer and meet the inequation ?-?109?≤?x?≤?109. The answer is an English letter "Y" (for "yes") or "N" (for "no").
Consequtive elements in lines are separated by a single space.
Output
Print any of such integers y, that the answers to all the queries are correct. The printed number y must meet the inequation ?-?2·109?≤?y?≤?2·109. If there are many answers, print any of them. If such value doesn't exist, print word "Impossible" (without the quotes).
Sample test(s)
input
4 >= 1 Y < 3 N <= -3 N > 55 N
output
17
input
2 > 100 Y < -100 Y
output
Impossible
题目大意:
猜数字,给出n个区间询问,然后同时给出该区间是否正确,然后求出任何符合上述区间要求的数字.
解法:
先将答案范围规定为: [l,r] ;其中 l = -2*10^9 r = 2*10^9
每次读入,更新一次上届和下届,l和r;
读入结束后,
l > r Impossible
l <= r 随意输出一个区间内的数字即可
代码:
#include#define INF 2000000000 int n; int max(int a, int b) { if (a > b) return(a); return(b); } int min(int a, int b) { if (a < b) return(a); return(b); } void init() { scanf("%d\n", &n); } void solve() { int l = -INF, r = INF, x; char ch1, ch2, ch3; for (int i = 1; i <= n; i++) { ch1 = getchar(); ch2 = getchar(); scanf("%d ", &x); ch3 = getchar(); getchar(); if (ch3 == 'Y') { if (ch1 == '>') { if (ch2 == '=') l = max(x, l); else l = max(x+1, l); } if (ch1 == '<') { if (ch2 == '=') r = min(r, x); else r = min(r, x-1); } } if (ch3 == 'N') { if (ch1 == '>') { if (ch2 == '=') r = min(r, x-1); else r = min(r, x); } if (ch1 == '<') { if (ch2 == '=') l = max(l, x+1); else l = max(l, x); } } } if (l <= r) printf("%d", l); else printf("Impossible"); } int main() { init(); solve(); }
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