Today s kilometer long auto race takes place in Berland. The track is represented by a straight line as long as s kilometers. There are n cars taking part in the race, all of them start simultaneously at the very beginning of the track. For every car is known its behavior — the system of segments on each of which the speed of the car is constant. The j-th segment of the i-th car is pair (vi, j, ti, j), where vi, j is the car's speed on the whole segment in kilometers per hour and ti, j is for how many hours the car had been driving at that speed. The segments are given in the order in which they are "being driven on" by the cars.

Your task is to find out how many times during the race some car managed to have a lead over another car. A lead is considered a situation when one car appears in front of another car. It is known, that all the leads happen instantly, i. e. there are no such time segment of positive length, during which some two cars drive "together". At one moment of time on one and the same point several leads may appear. In this case all of them should be taken individually. Meetings of cars at the start and finish are not considered to be counted as leads.

Input

The first line contains two integers n and s (2 ≤ n ≤ 100, 1 ≤ s ≤ 106) — the number of cars and the length of the track in kilometers. Then follow n lines — the description of the system of segments for each car. Every description starts with integer k (1 ≤ k ≤ 100) — the number of segments in the system. Then k space-separated pairs of integers are written. Each pair is the speed and time of the segment. These integers are positive and don't exceed 1000. It is guaranteed, that the sum of lengths of all segments (in kilometers) for each car equals to s; and all the leads happen instantly.

Output

Print the single number — the number of times some car managed to take the lead over another car during the race.

Examples

Input

2 33
2 5 1 2 14
1 3 11


Output

1


Input

2 33
2 1 3 10 3
1 11 3


Output

0


Input

5 33
2 1 3 3 10
1 11 3
2 5 3 3 6
2 3 1 10 3
2 6 3 3 5


Output

2
/*
 * Hello! You are trying to hack my solution, are you? =)
 * Don't be afraid of the size, it's just a dump of useful methods like gcd, or n-th Fib number.
 * And I'm just to lazy to create a new .java for every task.
 * And if you were successful to hack my solution, please, send me this test as a message or to Abrackadabraa@gmail.com.
 * It can help me improve my skills and i'd be very grateful for that.
 * Sorry for time you spent reading this message. =)
 * Good luck, unknown rival. =)
 * */

import java.io.*;
import java.math.*;
import java.util.*;

public class Abra {
	public static void main(String[] args) throws IOException {
		new Abra().run();
	}

	static class myLib {
		long fact(long x) {
			long a = 1;
			for (long i = 2; i <= x; i++) {
				a *= i;
			}
			return a;
		}

		long digitSum(String x) {
			long a = 0;
			for (int i = 0; i < x.length(); i++) {
				a += x.charAt(i) - '0';
			}
			return a;
		}

		long digitSum(long x) {
			long a = 0;
			while (x > 0) {
				a += x % 10;
				x /= 10;
			}
			return a;
		}

		long digitMul(long x) {
			long a = 1;
			while (x > 0) {
				a *= x % 10;
				x /= 10;
			}
			return a;
		}

		int digitCubesSum(int x) {
			int a = 0;
			while (x > 0) {
				a += (x % 10) * (x % 10) * (x % 10);
				x /= 10;
			}
			return a;
		}

		double pif(double ax, double ay, double bx, double by) {
			return Math.sqrt((ax - bx) * (ax - bx) + (ay - by) * (ay - by));
		}

		double pif3D(double ax, double ay, double az, double bx, double by, double bz) {
			return Math.sqrt((ax - bx) * (ax - bx) + (ay - by) * (ay - by) + (az - bz) * (az - bz));
		}

		double pif3D(double[] a, double[] b) {
			return Math.sqrt((a[0] - b[0]) * (a[0] - b[0]) + (a[1] - b[1]) * (a[1] - b[1]) + (a[2] - b[2]) * (a[2] - b[2]));
		}

		long gcd(long a, long b) {
			if (a == 0 || b == 0) return 1;
			if (a < b) {
				long c = b;
				b = a;
				a = c;
			}
			while (a % b != 0) {
				a = a % b;
				if (a < b) {
					long c = b;
					b = a;
					a = c;
				}
			}
			return b;
		}

		int gcd(int a, int b) {
			if (a == 0 || b == 0) return 1;
			if (a < b) {
				int c = b;
				b = a;
				a = c;
			}
			while (a % b != 0) {
				a = a % b;
				if (a < b) {
					int c = b;
					b = a;
					a = c;
				}
			}
			return b;
		}

		long lcm(long a, long b) throws IOException {
			return a * b / gcd(a, b);
		}

		int lcm(int a, int b) throws IOException {
			return a * b / gcd(a, b);
		}

		int countOccurences(String x, String y) {
			int a = 0, i = 0;
			while (true) {
				i = y.indexOf(x);
				if (i == -1) break;
				a++;
				y = y.substring(i + 1);
			}
			return a;
		}

		int[] findPrimes(int x) {
			boolean[] forErato = new boolean[x - 1];
			List<Integer> t = new Vector<Integer>();
			int l = 0, j = 0;
			for (int i = 2; i < x; i++) {
				if (forErato[i - 2]) continue;
				t.add(i);
				l++;
				j = i * 2;
				while (j < x) {
					forErato[j - 2] = true;
					j += i;
				}
			}
			int[] primes = new int[l];
			Iterator<Integer> iterator = t.iterator();
			for (int i = 0; iterator.hasNext(); i++) {
				primes[i] = iterator.next().intValue();
			}
			return primes;
		}

		int rev(int x) {
			int a = 0;
			while (x > 0) {
				a = a * 10 + x % 10;
				x /= 10;
			}
			return a;
		}

		class myDate {
			int d, m, y;

			int[] ml = { 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 };

			public myDate(int da, int ma, int ya) {
				d = da;
				m = ma;
				y = ya;
				if ((ma > 12 || ma < 1 || da > ml[ma - 1] || da < 1) && !(d == 29 && m == 2 && y % 4 == 0)) {
					d = 1;
					m = 1;
					y = 9999999;
				}
			}

			void incYear(int x) {
				for (int i = 0; i < x; i++) {
					y++;
					if (m == 2 && d == 29) {
						m = 3;
						d = 1;
						return;
					}
					if (m == 3 && d == 1) {
						if (((y % 4 == 0) && (y % 100 != 0)) || (y % 400 == 0)) {
							m = 2;
							d = 29;
						}
						return;
					}
				}
			}

			boolean less(myDate x) {
				if (y < x.y) return true;
				if (y > x.y) return false;
				if (m < x.m) return true;
				if (m > x.m) return false;
				if (d < x.d) return true;
				if (d > x.d) return false;
				return true;
			}

			void inc() {
				if ((d == 31) && (m == 12)) {
					y++;
					d = 1;
					m = 1;
				} else {
					if (((y % 4 == 0) && (y % 100 != 0)) || (y % 400 == 0)) {
						ml[1] = 29;
					}
					if (d == ml[m - 1]) {
						m++;
						d = 1;
					} else
						d++;
				}
			}
		}

		int partition(int n, int l, int m) {// n - sum, l - length, m - every
											// part
			// <= m
			if (n < l) return 0;
			if (n < l + 2) return 1;
			if (l == 1) return 1;
			int c = 0;
			for (int i = Math.min(n - l + 1, m); i >= (n + l - 1) / l; i--) {
				c += partition(n - i, l - 1, i);
			}
			return c;
		}

		int rifmQuality(String a, String b) {
			if (a.length() > b.length()) {
				String c = a;
				a = b;
				b = c;
			}
			int c = 0, d = b.length() - a.length();
			for (int i = a.length() - 1; i >= 0; i--) {
				if (a.charAt(i) == b.charAt(i + d)) c++;
				else
					break;
			}
			return c;
		}

		String numSym = "0123456789ABCDEF";

		String ZFromXToYNotation(int x, int y, String z) {
			if (z.equals("0")) return "0";
			String a = "";
			// long q = 0, t = 1;
			BigInteger q = BigInteger.ZERO, t = BigInteger.ONE;
			for (int i = z.length() - 1; i >= 0; i--) {
				q = q.add(t.multiply(BigInteger.valueOf(z.charAt(i) - 48)));
				t = t.multiply(BigInteger.valueOf(x));
			}
			while (q.compareTo(BigInteger.ZERO) == 1) {
				a = numSym.charAt((int) (q.mod(BigInteger.valueOf(y)).intValue())) + a;
				q = q.divide(BigInteger.valueOf(y));
			}
			return a;
		}

		double angleFromXY(int x, int y) {
			if ((x == 0) && (y > 0)) return Math.PI / 2;
			if ((x == 0) && (y < 0)) return -Math.PI / 2;
			if ((y == 0) && (x > 0)) return 0;
			if ((y == 0) && (x < 0)) return Math.PI;
			if (x > 0) return Math.atan((double) y / x);
			else {
				if (y > 0) return Math.atan((double) y / x) + Math.PI;
				else
					return Math.atan((double) y / x) - Math.PI;
			}
		}

		static boolean isNumber(String x) {
			try {
				Integer.parseInt(x);
			} catch (NumberFormatException ex) {
				return false;
			}
			return true;
		}

		static boolean stringContainsOf(String x, String c) {
			for (int i = 0; i < x.length(); i++) {
				if (c.indexOf(x.charAt(i)) == -1) return false;
			}
			return true;
		}

		long pow(long a, long n) { // b > 0
			if (n == 0) return 1;
			long k = n, b = 1, c = a;
			while (k != 0) {
				if (k % 2 == 0) {
					k /= 2;
					c *= c;
				} else {
					k--;
					b *= c;
				}
			}
			return b;
		}

		int pow(int a, int n) { // b > 0
			if (n == 0) return 1;
			int k = n, b = 1, c = a;
			while (k != 0) {
				if (k % 2 == 0) {
					k /= 2;
					c *= c;
				} else {
					k--;
					b *= c;
				}
			}
			return b;
		}

		double pow(double a, int n) { // b > 0
			if (n == 0) return 1;
			double k = n, b = 1, c = a;
			while (k != 0) {
				if (k % 2 == 0) {
					k /= 2;
					c *= c;
				} else {
					k--;
					b *= c;
				}
			}
			return b;
		}

		double log2(double x) {
			return Math.log(x) / Math.log(2);
		}

		int lpd(int[] primes, int x) {// least prime divisor
			int i;
			for (i = 0; primes[i] <= x / 2; i++) {
				if (x % primes[i] == 0) {
					return primes[i];
				}
			}
			;
			return x;
		}

		int np(int[] primes, int x) {// number of prime number
			for (int i = 0; true; i++) {
				if (primes[i] == x) return i;
			}
		}

		int[] dijkstra(int[][] map, int n, int s) {
			int[] p = new int[n];
			boolean[] b = new boolean[n];
			Arrays.fill(p, Integer.MAX_VALUE);
			p[s] = 0;
			b[s] = true;
			for (int i = 0; i < n; i++) {
				if (i != s) p[i] = map[s][i];
			}
			while (true) {
				int m = Integer.MAX_VALUE, mi = -1;
				for (int i = 0; i < n; i++) {
					if (!b[i] && (p[i] < m)) {
						mi = i;
						m = p[i];
					}
				}
				if (mi == -1) break;
				b[mi] = true;
				for (int i = 0; i < n; i++)
					if (p[mi] + map[mi][i] < p[i]) p[i] = p[mi] + map[mi][i];
			}
			return p;
		}

		boolean isLatinChar(char x) {
			if (((x >= 'a') && (x <= 'z')) || ((x >= 'A') && (x <= 'Z'))) return true;
			else
				return false;
		}

		boolean isBigLatinChar(char x) {
			if (x >= 'A' && x <= 'Z') return true;
			else
				return false;
		}

		boolean isSmallLatinChar(char x) {
			if (x >= 'a' && x <= 'z') return true;
			else
				return false;
		}

		boolean isDigitChar(char x) {
			if (x >= '0' && x <= '9') return true;
			else
				return false;
		}

		class NotANumberException extends Exception {
			private static final long serialVersionUID = 1L;
			String mistake;

			NotANumberException() {
				mistake = "Unknown.";
			}

			NotANumberException(String message) {
				mistake = message;
			}
		}

		class Real {
			String num = "0";
			long exp = 0;
			boolean pos = true;

			long length() {
				return num.length();
			}

			void check(String x) throws NotANumberException {
				if (!stringContainsOf(x, "0123456789+-.eE")) throw new NotANumberException("Illegal character.");
				long j = 0;
				for (long i = 0; i < x.length(); i++) {
					if ((x.charAt((int) i) == '-') || (x.charAt((int) i) == '+')) {
						if (j == 0) j = 1;
						else
							if (j == 5) j = 6;
							else
								throw new NotANumberException("Unexpected sign.");
					} else
						if ("0123456789".indexOf(x.charAt((int) i)) != -1) {
							if (j == 0) j = 2;
							else
								if (j == 1) j = 2;
								else
									if (j == 2)
									;
									else
										if (j == 3) j = 4;
										else
											if (j == 4)
											;
											else
												if (j == 5) j = 6;
												else
													if (j == 6)
													;
													else
														throw new NotANumberException("Unexpected digit.");
						} else
							if (x.charAt((int) i) == '.') {
								if (j == 0) j = 3;
								else
									if (j == 1) j = 3;
									else
										if (j == 2) j = 3;
										else
											throw new NotANumberException("Unexpected dot.");
							} else
								if ((x.charAt((int) i) == 'e') || (x.charAt((int) i) == 'E')) {
									if (j == 2) j = 5;
									else
										if (j == 4) j = 5;
										else
											throw new NotANumberException("Unexpected exponent.");
								} else
									throw new NotANumberException("O_o.");
				}
				if ((j == 0) || (j == 1) || (j == 3) || (j == 5)) throw new NotANumberException("Unexpected end.");
			}

			public Real(String x) throws NotANumberException {
				check(x);
				if (x.charAt(0) == '-') pos = false;
				long j = 0;
				String e = "";
				boolean epos = true;
				for (long i = 0; i < x.length(); i++) {
					if ("0123456789".indexOf(x.charAt((int) i)) != -1) {
						if (j == 0) num += x.charAt((int) i);
						if (j == 1) {
							num += x.charAt((int) i);
							exp--;
						}
						if (j == 2) e += x.charAt((int) i);
					}
					if (x.charAt((int) i) == '.') {
						if (j == 0) j = 1;
					}
					if ((x.charAt((int) i) == 'e') || (x.charAt((int) i) == 'E')) {
						j = 2;
						if (x.charAt((int) (i + 1)) == '-') epos = false;
					}
				}
				while ((num.length() > 1) && (num.charAt(0) == '0'))
					num = num.substring(1);
				while ((num.length() > 1) && (num.charAt(num.length() - 1) == '0')) {
					num = num.substring(0, num.length() - 1);
					exp++;
				}
				if (num.equals("0")) {
					exp = 0;
					pos = true;
					return;
				}
				while ((e.length() > 1) && (e.charAt(0) == '0'))
					e = e.substring(1);
				try {
					if (e != "") if (epos) exp += Long.parseLong(e);
					else
						exp -= Long.parseLong(e);
				} catch (NumberFormatException exc) {
					if (!epos) {
						num = "0";
						exp = 0;
						pos = true;
					} else {
						throw new NotANumberException("Too long exponent");
					}
				}
			}

			public Real() {
			}

			String toString(long mantissa) {
				String a = "", b = "";
				if (exp >= 0) {
					a = num;
					if (!pos) a = '-' + a;
					for (long i = 0; i < exp; i++)
						a += '0';
					for (long i = 0; i < mantissa; i++)
						b += '0';
					if (mantissa == 0) return a;
					else
						return a + "." + b;
				} else {
					if (exp + length() <= 0) {
						a = "0";
						if (mantissa == 0) {
							return a;
						}
						if (mantissa < -(exp + length() - 1)) {
							for (long i = 0; i < mantissa; i++)
								b += '0';
							return a + "." + b;
						} else {
							if (!pos) a = '-' + a;
							for (long i = 0; i < mantissa; i++)
								if (i < -(exp + length())) b += '0';
								else
									if (i + exp >= 0) b += '0';
									else
										b += num.charAt((int) (i + exp + length()));
							return a + "." + b;
						}
					} else {
						if (!pos) a = "-";
						for (long i = 0; i < exp + length(); i++)
							a += num.charAt((int) i);
						if (mantissa == 0) return a;
						for (long i = exp + length(); i < exp + length() + mantissa; i++)
							if (i < length()) b += num.charAt((int) i);
							else
								b += '0';
						return a + "." + b;
					}
				}
			}
		}

		boolean containsRepeats(int... num) {
			Set<Integer> s = new TreeSet<Integer>();
			for (int d : num)
				if (!s.contains(d)) s.add(d);
				else
					return true;
			return false;
		}

		int[] rotateDice(int[] a, int n) {
			int[] c = new int[6];
			if (n == 0) {
				c[0] = a[1];
				c[1] = a[5];
				c[2] = a[2];
				c[3] = a[0];
				c[4] = a[4];
				c[5] = a[3];
			}
			if (n == 1) {
				c[0] = a[2];
				c[1] = a[1];
				c[2] = a[5];
				c[3] = a[3];
				c[4] = a[0];
				c[5] = a[4];
			}
			if (n == 2) {
				c[0] = a[3];
				c[1] = a[0];
				c[2] = a[2];
				c[3] = a[5];
				c[4] = a[4];
				c[5] = a[1];
			}
			if (n == 3) {
				c[0] = a[4];
				c[1] = a[1];
				c[2] = a[0];
				c[3] = a[3];
				c[4] = a[5];
				c[5] = a[2];
			}
			if (n == 4) {
				c[0] = a[0];
				c[1] = a[2];
				c[2] = a[3];
				c[3] = a[4];
				c[4] = a[1];
				c[5] = a[5];
			}
			if (n == 5) {
				c[0] = a[0];
				c[1] = a[4];
				c[2] = a[1];
				c[3] = a[2];
				c[4] = a[3];
				c[5] = a[5];
			}
			return c;
		}

		int min(int... a) {
			int c = Integer.MAX_VALUE;
			for (int d : a)
				if (d < c) c = d;
			return c;
		}

		int max(int... a) {
			int c = Integer.MIN_VALUE;
			for (int d : a)
				if (d > c) c = d;
			return c;
		}
		
		double maxD(double... a) {
			double c = Double.MIN_VALUE;
			for (double d : a)
				if (d > c) c = d;
			return c;
		}
		
		double minD(double... a) {
			double c = Double.MAX_VALUE;
			for (double d : a)
				if (d < c) c = d;
			return c;
		}

		int[] normalizeDice(int[] a) {
			int[] c = a.clone();
			if (c[0] != 0) if (c[1] == 0) c = rotateDice(c, 0);
			else
				if (c[2] == 0) c = rotateDice(c, 1);
				else
					if (c[3] == 0) c = rotateDice(c, 2);
					else
						if (c[4] == 0) c = rotateDice(c, 3);
						else
							if (c[5] == 0) c = rotateDice(rotateDice(c, 0), 0);
			while (c[1] != min(c[1], c[2], c[3], c[4]))
				c = rotateDice(c, 4);
			return c;
		}

		boolean sameDice(int[] a, int[] b) {
			for (int i = 0; i < 6; i++)
				if (a[i] != b[i]) return false;
			return true;
		}

		final double goldenRatio = (1 + Math.sqrt(5)) / 2;
		final double aGoldenRatio = (1 - Math.sqrt(5)) / 2;

		long Fib(int n) {
			if (n < 0) if (n % 2 == 0) return -Math.round((pow(goldenRatio, -n) - pow(aGoldenRatio, -n)) / Math.sqrt(5));
			else
				return -Math.round((pow(goldenRatio, -n) - pow(aGoldenRatio, -n)) / Math.sqrt(5));
			return Math.round((pow(goldenRatio, n) - pow(aGoldenRatio, n)) / Math.sqrt(5));
		}

		class japaneeseComparator implements Comparator<String> {
			@Override
			public int compare(String a, String b) {
				int ai = 0, bi = 0;
				boolean m = false, ns = false;
				if (a.charAt(ai) <= '9' && a.charAt(ai) >= '0') {
					if (b.charAt(bi) <= '9' && b.charAt(bi) >= '0') m = true;
					else
						return -1;
				}
				if (b.charAt(bi) <= '9' && b.charAt(bi) >= '0') {
					if (a.charAt(ai) <= '9' && a.charAt(ai) >= '0') m = true;
					else
						return 1;
				}
				a += "!";
				b += "!";
				int na = 0, nb = 0;
				while (true) {
					if (a.charAt(ai) == '!') {
						if (b.charAt(bi) == '!') break;
						return -1;
					}
					if (b.charAt(bi) == '!') {
						return 1;
					}
					if (m) {
						int ab = -1, bb = -1;
						while (a.charAt(ai) <= '9' && a.charAt(ai) >= '0') {
							if (ab == -1) ab = ai;
							ai++;
						}
						while (b.charAt(bi) <= '9' && b.charAt(bi) >= '0') {
							if (bb == -1) bb = bi;
							bi++;
						}
						m = !m;
						if (ab == -1) {
							if (bb == -1) continue;
							else
								return 1;
						}
						if (bb == -1) return -1;
						while (a.charAt(ab) == '0' && ab + 1 != ai) {
							ab++;
							if (!ns) na++;
						}
						while (b.charAt(bb) == '0' && bb + 1 != bi) {
							bb++;
							if (!ns) nb++;
						}
						if (na != nb) ns = true;
						if (ai - ab < bi - bb) return -1;
						if (ai - ab > bi - bb) return 1;
						for (int i = 0; i < ai - ab; i++) {
							if (a.charAt(ab + i) < b.charAt(bb + i)) return -1;
							if (a.charAt(ab + i) > b.charAt(bb + i)) return 1;
						}
					} else {
						m = !m;
						while (true) {
							if (a.charAt(ai) <= 'z' && a.charAt(ai) >= 'a' && b.charAt(bi) <= 'z' && b.charAt(bi) >= 'a') {
								if (a.charAt(ai) < b.charAt(bi)) return -1;
								if (a.charAt(ai) > b.charAt(bi)) return 1;
								ai++;
								bi++;
							} else
								if (a.charAt(ai) <= 'z' && a.charAt(ai) >= 'a') return 1;
								else
									if (b.charAt(bi) <= 'z' && b.charAt(bi) >= 'a') return -1;
									else
										break;
						}
					}
				}
				if (na < nb) return 1;
				if (na > nb) return -1;
				return 0;
			}
		}

		Random random = new Random();
	}

	void readIntArray(int[] a) throws IOException {
		for (int i = 0; i < a.length; i++) a[i] = nextInt();
	}
	
	String readChars(int l) throws IOException {
		String r = "";
		for (int i = 0; i < l; i++) r += (char)br.read();
		return r;
	}

	StreamTokenizer in;
	PrintWriter out;
	boolean oj;
	BufferedReader br;

	void init() throws IOException {
		oj = System.getProperty("ONLINE_JUDGE") != null;
		Reader reader = oj ? new InputStreamReader(System.in) : new FileReader("input.txt");
		Writer writer = oj ? new OutputStreamWriter(System.out) : new FileWriter("output.txt");
		br = new BufferedReader(reader);
		in = new StreamTokenizer(br);
		out = new PrintWriter(writer);
	}

	long selectionTime = 0;

	void startSelection() {
		selectionTime -= System.currentTimeMillis();
	}

	void stopSelection() {
		selectionTime += System.currentTimeMillis();
	}

	void run() throws IOException {
		long beginTime = System.currentTimeMillis();
		long beginMem = Runtime.getRuntime().totalMemory() - Runtime.getRuntime().freeMemory();
		init();
		solve();
		long endMem = Runtime.getRuntime().totalMemory() - Runtime.getRuntime().freeMemory();
		long endTime = System.currentTimeMillis();
		if (!oj) {
			System.out.println("Memory used = " + (endMem - beginMem));
			System.out.println("Total memory = " + (Runtime.getRuntime().totalMemory() - Runtime.getRuntime().freeMemory()));
			System.out.println("Running time = " + (endTime - beginTime));
		}
		out.flush();
	}

	int nextInt() throws IOException {
		in.nextToken();
		return (int) in.nval;
	}

	long nextLong() throws IOException {
		in.nextToken();
		return (long) in.nval;
	}

	String nextString() throws IOException {
		in.nextToken();
		return in.sval;
	}

	double nextDouble() throws IOException {
		in.nextToken();
		return in.nval;
	}

	myLib lib = new myLib();

	
	  /*class cubeWithLetters { String consts = "ЧКТФЭЦ"; char[][] letters = { {
	  'А', 'Б', 'Г', 'В' }, { 'Д', 'Е', 'З', 'Ж' }, { 'И', 'Л', 'Н', 'М' }, {
	  'О', 'П', 'С', 'Р' }, { 'У', 'Х', 'Щ', 'Ш' }, { 'Ы', 'Ь', 'Я', 'Ю' } };
	  
	  char get(char x) { if (consts.indexOf(x) != -1) return x; for (int i = 0;
	  i < 7; i++) { for (int j = 0; j < 4; j++) { if (letters[i][j] == x) { if
	  (j == 0) return letters[i][3]; else return letters[i][j - 1]; } } }
	  return '!'; }
	  
	  void subrotate(int x) { char t = letters[x][0]; letters[x][0] =
	  letters[x][3]; letters[x][3] = letters[x][2]; letters[x][2] =
	  letters[x][1]; letters[x][1] = t; }
	  
	  void rotate(int x) { subrotate(x); char t; if (x == 0) { t =
	  letters[1][0]; letters[1][0] = letters[2][0]; letters[2][0] =
	  letters[3][0]; letters[3][0] = letters[5][2]; letters[5][2] = t;
	  
	  t = letters[1][1]; letters[1][1] = letters[2][1]; letters[2][1] =
	  letters[3][1]; letters[3][1] = letters[5][3]; letters[5][3] = t; } if (x
	  == 1) { t = letters[2][0]; letters[2][0] = letters[0][0]; letters[0][0] =
	  letters[5][0]; letters[5][0] = letters[4][0]; letters[4][0] = t;
	  
	  t = letters[2][3]; letters[2][3] = letters[0][3]; letters[0][3] =
	  letters[5][3]; letters[5][3] = letters[4][3]; letters[4][3] = t; } if (x
	  == 2) { t = letters[0][3]; letters[0][3] = letters[1][2]; letters[1][2] =
	  letters[4][1]; letters[4][1] = letters[3][0]; letters[3][0] = t;
	  
	  t = letters[0][2]; letters[0][2] = letters[1][1]; letters[1][1] =
	  letters[4][0]; letters[4][0] = letters[3][3]; letters[3][3] = t; } if (x
	  == 3) { t = letters[2][1]; letters[2][1] = letters[4][1]; letters[4][1] =
	  letters[5][1]; letters[5][1] = letters[0][1]; letters[0][1] = t;
	  
	  t = letters[2][2]; letters[2][2] = letters[4][2]; letters[4][2] =
	  letters[5][2]; letters[5][2] = letters[0][2]; letters[0][2] = t; } if (x
	  == 4) { t = letters[2][3]; letters[2][3] = letters[1][3]; letters[1][3] =
	  letters[5][1]; letters[5][1] = letters[3][3]; letters[3][3] = t;
	  
	  t = letters[2][2]; letters[2][2] = letters[1][2]; letters[1][2] =
	  letters[5][0]; letters[5][0] = letters[3][2]; letters[3][2] = t; } if (x
	  == 5) { t = letters[4][3]; letters[4][3] = letters[1][0]; letters[1][0] =
	  letters[0][1]; letters[0][1] = letters[3][2]; letters[3][2] = t;
	  
	  t = letters[4][2]; letters[4][2] = letters[1][3]; letters[1][3] =
	  letters[0][0]; letters[0][0] = letters[3][1]; letters[3][1] = t; } }
	  
	  public String toString(){ return "  " + letters[0][0] + letters[0][1] +
	  "\n" + "  " + letters[0][3] + letters[0][2] + "\n" + letters[1][0] +
	  letters[1][1] + letters[2][0] + letters[2][1] + letters[3][0] +
	  letters[3][1] + "\n" + letters[1][3] + letters[1][2] + letters[2][3] +
	  letters[2][2] + letters[3][3] + letters[3][2] + "\n" + "  " +
	  letters[4][0] + letters[4][1] + "\n" + "  " + letters[4][3] +
	  letters[4][2] + "\n" + "  " + letters[5][0] + letters[5][1] + "\n" + "  "
	  + letters[5][3] + letters[5][2] + "\n"; } }
	 
	
	Vector<Integer>[] a;
	int n, mc, c1, c2;
	int[] col;
	
	void wave(int x, int p) {
		for (Iterator<Integer> i = a[x].iterator(); i.hasNext(); ) {
			int t = i.next();
			if (t == x || t == p) continue;
			if (col[t] == 0) {
				col[t] = mc;
				wave(t, x);
			} else {
				c1 = x;
				c2 = t;
			}
		}
	}

	void solve() throws IOException {
		
		  String s = "ЕПОЕЬРИТСГХЖЗТЯПСТАПДСБИСТЧК"; 
		//String s =		  "ЗЬУОЫТВЗТЯПУБОЫТЕАЫШХЯАТЧК"; 
		cubeWithLetters cube = new
		  cubeWithLetters(); for (int x = 0; x < 4; x++) { for (int y = x + 1;
		  y < 5; y++) { for (int z = y + 1; z < 6; z++) { cube = new
		  cubeWithLetters(); out.println(cube.toString()); cube.rotate(x);
		  out.println(cube.toString()); cube.rotate(y);
		  out.println(cube.toString()); cube.rotate(z);
		  out.println(cube.toString()); out.print(x + " " + y + " " + z +
		  " = "); for (int i = 0; i < s.length(); i++) {
		  out.print(cube.get(s.charAt(i))); } out.println(); } } }

		int a = nextInt(), b = nextInt(), x = nextInt(), y = nextInt();
		out.print((lib.min(a / (x / lib.gcd(x, y)), b / (y / lib.gcd(x, y))) * (x / lib.gcd(x, y))) + " " + (lib.min(a / (x / lib.gcd(x, y)), b / (y / lib.gcd(x, y))) * (y / lib.gcd(x, y))));
	}*/
	
	void solve() throws IOException {
		int n = nextInt(), s = nextInt();
		int[] xs = new int[n], pxs = new int[n];
		Queue[] c = new LinkedList[n];
		for (int i = 0; i < n; i++) {
			c[i] = new LinkedList();
			int k = nextInt();
			for (int j = 0; j < k; j++) {
				int[] t = {nextInt(), nextInt()};
				c[i].add(t);
			}
		}
		int r = 0;
		while (true) {
			boolean b = true;
			int[] txs = new int[n];
			for (int i = 0; i < n; i++) {
				if (xs[i] >= s) {
					txs[i] = xs[i];
					continue; 
				} else b = false;
				int[] t = (int[]) c[i].peek();
				if (t[1] == 0) {
					c[i].poll();
					t = (int[]) c[i].peek();
				}
				t[1]--;
				txs[i] = xs[i] + t[0];
			}
			if (b) break;
			for (int i = 0; i < n; i++) {
				//out.print(txs[i] + " ");
				for (int j = i + 1; j < n; j++) {
					if ((xs[i] < xs[j] && txs[i] > txs[j]) || (xs[i] > xs[j] && txs[i] < txs[j]) || (xs[i] == xs[j] && txs[i] < txs[j] && pxs[i] > pxs[j]) || (xs[i] == xs[j] && txs[i] > txs[j] && pxs[i] < pxs[j])) {
						r++;
					}
				}
			}
			//out.println();
			pxs = xs.clone();
			xs = txs.clone();
		}
		
		out.println(r);
	}
}