There are two main kinds of events in the life of top-model: fashion shows and photo shoots. Participating in any of these events affects the rating of appropriate top-model. After each photo shoot model's rating increases by *a* and after each fashion show decreases by *b* (designers do too many experiments nowadays). Moreover, sometimes top-models participates in talk shows. After participating in talk show model becomes more popular and increasing of her rating after photo shoots become *c* and decreasing of her rating after fashion show becomes *d*.

Izabella wants to participate in a talk show, but she wants to do it in such a way that her rating will never become negative. Help her to find a suitable moment for participating in the talk show. 

Let's assume that model's career begins in moment 0. At that moment Izabella's rating was equal to *start*. If talk show happens in moment *t* if will affect all events in model's life in interval of time [*t*..*t* + *len*) (including *t* and not including *t* + *len*), where *len* is duration of influence.

Izabella wants to participate in a talk show, but she wants to do it in such a way that her rating will not become become negative before talk show or during period of influence of talk show. Help her to find a suitable moment for participating in the talk show.
In first line there are 7 positive integers *n*, *a*, *b*, *c*, *d*, *start*, *len* (1 ≤ *n* ≤ 3·10<sup class="upper-index">5</sup>, 0 ≤ *start* ≤ 10<sup class="upper-index">9</sup>, 1 ≤ *a*, *b*, *c*, *d*, *len* ≤ 10<sup class="upper-index">9</sup>), where *n* is a number of fashion shows and photo shoots, *a*, *b*, *c* and *d* are rating changes described above, *start* is an initial rating of model and *len* is a duration of influence of talk show.

In next *n* lines descriptions of events are given. Each of those lines contains two integers *t*<sub class="lower-index">*i*</sub> and *q*<sub class="lower-index">*i*</sub> (1 ≤ *t*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">9</sup>, 0 ≤ *q* ≤ 1) — moment, in which event happens and type of this event. Type 0 corresponds to the fashion show and type 1 — to photo shoot. 

Events are given in order of increasing *t*<sub class="lower-index">*i*</sub>, all *t*<sub class="lower-index">*i*</sub> are different.
none
5 1 1 1 4 0 5
1 1
2 1
3 1
4 0
5 0
6
1 1 2 1 2 1 2
1 0
-1
10 1 1 1 2 0 10
1 1
2 1
3 0
4 0
5 1
6 1
7 1
8 1
9 1
10 1
5
int rev[MAXN];
base wlen_pw[MAXN];
 
void fft (base a[], int n, bool invert) {
	for (int i=0; i<n; ++i)
		if (i < rev[i])
			swap (a[i], a[rev[i]]);
 
	for (int len=2; len<=n; len<<=1) {
		double ang = 2*PI/len * (invert?-1:+1);
		int len2 = len>>1;
 
		base wlen (cos(ang), sin(ang));
		wlen_pw[0] = base (1, 0);
		for (int i=1; i<len2; ++i)
			wlen_pw[i] = wlen_pw[i-1] * wlen;
 
		for (int i=0; i<n; i+=len) {
			base t,
				*pu = a+i,
				*pv = a+i+len2, 
				*pu_end = a+i+len2,
				*pw = wlen_pw;
			for (; pu!=pu_end; ++pu, ++pv, ++pw) {
				t = *pv * *pw;
				*pv = *pu - t;
				*pu += t;
			}
		}
	}
 
	if (invert)
		for (int i=0; i<n; ++i)
			a[i] /= n;
}
 
void calc_rev (int n, int log_n) {
	for (int i=0; i<n; ++i) {
		rev[i] = 0;
		for (int j=0; j<log_n; ++j)
			if (i & (1<<j))
				rev[i] |= 1<<(log_n-1-j);
	}
}