#include<stdio.h>
#include<iostream>
#include<vector>
#include<algorithm>
#include<string>
#include<string.h>
using namespace std;

typedef long long LL;
typedef vector<int> VI;

#define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i)
#define EACH(i,c) for(__typeof((c).begin()) i=(c).begin(),i##_end=(c).end();i!=i##_end;++i)
#define eprintf(...) fprintf(stderr, __VA_ARGS__)

template<class T> inline void amin(T &x, const T &y) { if (y<x) x=y; }
template<class T> inline void amax(T &x, const T &y) { if (x<y) x=y; }
template<class Iter> void rprintf(const char *fmt, Iter begin, Iter end) {
    for (bool sp=0; begin!=end; ++begin) { if (sp) putchar(' '); else sp = true; printf(fmt, *begin); }
    putchar('\n');
}
template<class T> struct IRXQ {
    static const int npos = -1;

    int n, g; T *d;
    IRXQ() : n(0), g(0), d(NULL) {}
    template<class Iter> IRXQ(Iter begin, Iter end) : n(0), g(0), d(0) { build(begin, end); }
    IRXQ(const IRXQ &y) : n(y.n), g(0), d(NULL) { if (y.n) build(y.d[0], y.d[0] + n); }
    IRXQ(IRXQ &&y) : n(0), g(0), d(NULL) { swap(*this, y); }
    ~IRXQ() { if (n) { n = 0; delete d; d = NULL; } }
    friend void swap(IRXQ &x, IRXQ &y) { swap(x.n, y.n); swap(x.g, y.g); swap(x.d, y.d); }
    IRXQ& operator=(IRXQ y) { swap(*this, y); return *this; }

    template<class Iter> void build(Iter begin, Iter end) { // random access iterator
	n = end - begin;
	if (n == 0) return;
	g = __lg(n);
	d = new T[n*(g+1)];
	REP (i, n) { d[i] = *begin; ++begin; }
	for (int t=0, b=0; t<g; t++, b+=n) for (int i=0, j=1<<t; j<=n-(1<<t); i++, j++)
	    d[b+n+i] = (d[b+i] < d[b+j]? d[b+j]: d[b+i]);
    }

    const T at(int i) const { return d[i]; }

    const T max_v(int l, int r) const {
	int h = __lg(r - l), b = n * h;
	r -= 1<<h;
	return d[b+l] < d[b+r]? d[b+r]: d[b+l];
    }

    int max_i(int l, int r) const {
	return first_more_equal(l, max_v(l, r));
    }

    // for i in [l .. n-1]:
    //   if at(i) > v: return i;
    // return npos;
    int first_more_than(int l, const T v) const {
	for (int t=g+1; t--; )
	    if (l + (1<<t) <= n && !(v < d[n*t+l]))
		l += 1 << t;
	return l<n? l: npos;
    }

    // for i in [l .. n-1]:
    //   if v <= at(i): return i;
    // return npos;
    int first_more_equal(int l, const T v) const {
	for (int t=g+1; t--; )
	    if (l + (1<<t) <= n && d[n*t+l] < v)
		l += 1 << t;
	return l<n? l: npos;
    }

    // for i in [r-1 .. 0]:
    //   if v < at(i): return i;
    // return npos;
    int last_more_than(int r, const T v) const {
	for (int t=g+1; t--; )
	    if (0 <= r - (1<<t) && !(v < d[n*t+r-(1<<t)]))
		r -= 1 << t;
	return r? r-1: npos;
    }

    // for i in [r-1 .. 0]:
    //   if v <= at(i): return i;
    // return npos;
    int last_more_equal(int r, const T v) const {
	for (int t=g+1; t--; )
	    if (0 <= r - (1<<t) && d[n*t+r-(1<<t)] < v)
		r -= 1 << t;
	return r? r-1: npos;
    }
};

int N;
LL C;
LL X[200011], V[200011];
LL sums[200011];

LL ans;

void calc() {
    REP (i, N) {
	X[i+N] = X[i] + C;
	V[i+N] = V[i];
    }

    LL pre = 0;
    REP (i, N+N) {
	sums[i+1] = sums[i] + V[i] - (X[i] - pre);
	pre = X[i];
    }

    IRXQ<LL> rxq(sums, sums+N+N+1);

    REP (i, N) {
	LL val = (X[i] - C) % C + V[i];

	LL tmp = rxq.max_v(i+1, i+N+1) - sums[i+1];
	if (tmp > 0) val += tmp;

	amax(ans, val);
    }
}

void MAIN() {
    scanf("%d%lld", &N, &C);
    REP (i, N) scanf("%lld%lld", X+i+1, V+i+1);
    N++;

    calc();
    reverse(X+1, X+N);
    for (int i=1; i<N; i++) X[i] = C - X[i];
    reverse(V+1, V+N);
    calc();


    printf("%lld\n", ans);
}

int main() {
    int TC = 1;
//    scanf("%d", &TC);
    REP (tc, TC) MAIN();
    return 0;
}



Measured memory_bytes: 32896