A. Checking the Calendar

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

You are given names of two days of the week.

Please, determine whether it is possible that during some non-leap year the first day of some month was equal to the first day of the week you are given, while the first day of the next month was equal to the second day of the week you are given. Both months should belong to one year.

In this problem, we consider the Gregorian calendar to be used. The number of months in this calendar is equal to 12. The number of days in months during any non-leap year is: 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31.

Names of the days of the week are given with lowercase English letters: "monday", "tuesday", "wednesday", "thursday", "friday", "saturday", "sunday".

Input

The input consists of two lines, each of them containing the name of exactly one day of the week. It's guaranteed that each string in the input is from the set "monday", "tuesday", "wednesday", "thursday", "friday", "saturday", "sunday".

Output

Print "YES" (without quotes) if such situation is possible during some non-leap year. Otherwise, print "NO" (without quotes).

Examples

input

mondaytuesday

output

NO

input

sundaysunday

output

YES

input

saturdaytuesday

output

YES

Note

In the second sample, one can consider February 1 and March 1 of year 2015. Both these days were Sundays.

In the third sample, one can consider July 1 and August 1 of year 2017. First of these two days is Saturday, while the second one is Tuesday.

解题说明：此题是一道模拟题，判断给出的星期是否位于同一年中的两个月相同的日子里，最简单的做法是暴力枚举，第一个星期连续加上每个月的天数，判断是否等于第二个星期。

#include<cstdio>#include <cstring>#include<cmath>#include<iostream>#include<algorithm>#include<vector>#include <map>using namespace std;char day[][20] = { "monday", "tuesday", "wednesday", "thursday", "friday", "saturday", "sunday" };int dl[] = { 31,28,31,30,31,30,31,31,30,31,30,31 };int getday(char ss[20]){int i;for (i = 0; i < 7; i++){if (strcmp(ss, day[i]) == 0){break;}}return i;}int main(){char ss[20];int d1, d2;int i;scanf("%s", ss);d1 = getday(ss);scanf("%s", ss);d2 = getday(ss);for (i = 0; i < 12; i++){if ((d1 + dl[i]) % 7 == d2){break;}}if (i < 12) {printf("YES\n");}else{printf("NO\n");}return 0;}