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#define _CRT_SECURE_NO_WARNINGS

#include <iostream>

#include <ctime>

using namespace std;

int main()

{

 int y;

 char buffer[80];

 cout << "Year = ";

 cin >> y;

 tm time_in;

 time_in.tm_sec = 0;  // second

 time_in.tm_min = 0;  // minute

 time_in.tm_hour = 0; // hour

 time_in.tm_mday = 1; // 1-based day

 time_in.tm_mon = 9;  // 0-based month

 time_in.tm_year = y - 1900; // year since 1900

 time_t time_temp = mktime (&time_in);   // Convert the local time to a calendar value.

 tm* time_out = localtime (&time_temp);  // Converts a time_t time value to a tm structure

 if (time_out->tm_wday > 0)              // if it is not Sunday, go to the next Sunday

   time_out->tm_mday += 7 - time_out->tm_wday;

 strftime(buffer, 80, "%d.%m.%Y", time_out);  // date formatting for output

 cout << "\nTeachers day is " << buffer << "\n";

}

Объяснение: explanations in the comments to the program