HDU 4768 Flyer(二分)
2014-03-10 11:05:48         来源：HDU 4768 Flyer(二分)

# Flyer

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1445 Accepted Submission(s): 510

Problem Description The new semester begins! Different kinds of student societies are all trying to advertise themselves, by giving flyers to the students for introducing the society. However, due to the fund shortage, the flyers of a society can only be distributed to a part of the students. There are too many, too many students in our university, labeled from 1 to 2^32. And there are totally N student societies, where the i-th society will deliver flyers to the students with label A_i, A_i+C_i,A_i+2*C_i,…A_i+k*C_i (A_i+k*C_i<=B_i, A_i+(k+1)*C_i>B_i). We call a student "unlucky" if he/she gets odd pieces of flyers. Unfortunately, not everyone is lucky. Yet, no worries; there is at most one student who is unlucky. Could you help us find out who the unfortunate dude (if any) is? So that we can comfort him by treating him to a big meal!

Input There are multiple test cases. For each test case, the first line contains a number N (0 < N <= 20000) indicating the number of societies. Then for each of the following N lines, there are three non-negative integers A_i, B_i, C_i (smaller than 2^31, A_i <= B_i) as stated above. Your program should proceed to the end of the file.

Output For each test case, if there is no unlucky student, print "DC Qiang is unhappy." (excluding the quotation mark), in a single line. Otherwise print two integers, i.e., the label of the unlucky student and the number of flyers he/she gets, in a single line.

Sample Input
```2
1 10 1
2 10 1
4
5 20 7
6 14 3
5 9 1
7 21 12```

Sample Output
```1 1
8 1```

```#include
#include
#include
const long long INF = (1LL<<31);
#include
using namespace std;

const int N = 20005;
int n;
long long sum, a[N], b[N], c[N], l, r;

long long judge(long long mid) {
long long sum = 0;
for (int i = 0; i < n; i++) {
long long br = min(mid , b[i]);
if (br >= a[i])
sum += (br - a[i]) / c[i] + 1;
}
return sum % 2;
}

bool solve() {
if (sum % 2 == 0) return false;
while (l < r) {
long long mid = (l + r) / 2;
if (judge(mid))
r = mid;
else
l = mid + 1;
}
int num = 0;
for (int i = 0; i < n; i++) {
if (l >= a[i] && l <= b[i]) {
if ((l - a[i]) % c[i] == 0)
num++;
}
}
cout << l << ' ' << num << endl;
return true;
}

int main() {
while (scanf("%d", &n) == 1) {
sum = 0; l = INF; r = 0;
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i] >> c[i];
sum += (b[i] - a[i]) / c[i] + 1;
l = min(l, a[i]);
r = max(r, b[i]);
}
if (!solve())
cout << "DC Qiang is unhappy." << endl;
}
return 0;
}```