<p>Given a date, return the corresponding day of the week for that date.</p>

<p>The input is given as three integers representing the <code>day</code>, <code>month</code> and <code>year</code> respectively.</p>

<p>Return the answer as one of the following values&nbsp;<code>{&quot;Sunday&quot;, &quot;Monday&quot;, &quot;Tuesday&quot;, &quot;Wednesday&quot;, &quot;Thursday&quot;, &quot;Friday&quot;, &quot;Saturday&quot;}</code>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> day = 31, month = 8, year = 2019
<strong>Output:</strong> &quot;Saturday&quot;
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> day = 18, month = 7, year = 1999
<strong>Output:</strong> &quot;Sunday&quot;
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> day = 15, month = 8, year = 1993
<strong>Output:</strong> &quot;Sunday&quot;
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li>The given dates are valid dates between the years <code>1971</code> and <code>2100</code>.</li>
</ul>

class Solution {
    const string days[7] = {
        "Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday"
    };
public:
    constexpr inline string dayOfTheWeek(int day, int month, int year) {
        if (month < 3) {
            month += 12, year -= 1;
        }
        const auto [c, r] = div(year, 100);
        year = r;
        const int w = (
                c / 4 - 2 * c + year + year / 4 + 13 * (month + 1) / 5 + day - 1
            ) % 7;
        return days[(w + 7) % 7];        
    }
};

static const auto init = []() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    return 0;
}();

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