#include using namespace std; using LL = long long int; #define incII(i, l, r) for(LL i = (l) ; i <= (r); i++) #define incIX(i, l, r) for(LL i = (l) ; i < (r); i++) #define incXI(i, l, r) for(LL i = (l) + 1; i <= (r); i++) #define incXX(i, l, r) for(LL i = (l) + 1; i < (r); i++) #define decII(i, l, r) for(LL i = (r) ; i >= (l); i--) #define decIX(i, l, r) for(LL i = (r) - 1; i >= (l); i--) #define decXI(i, l, r) for(LL i = (r) ; i > (l); i--) #define decXX(i, l, r) for(LL i = (r) - 1; i > (l); i--) #define inc(i, n) incIX(i, 0, n) #define dec(i, n) decIX(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec1(i, n) decII(i, 1, n) auto inII = [](auto x, auto l, auto r) { return (l <= x && x <= r); }; auto inIX = [](auto x, auto l, auto r) { return (l <= x && x < r); }; auto inXI = [](auto x, auto l, auto r) { return (l < x && x <= r); }; auto inXX = [](auto x, auto l, auto r) { return (l < x && x < r); }; auto setmin = [](auto & a, auto b) { return (b < a ? a = b, true : false); }; auto setmax = [](auto & a, auto b) { return (b > a ? a = b, true : false); }; auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); }; auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); }; #define PB push_back #define EB emplace_back #define MP make_pair #define MT make_tuple #define FI first #define SE second #define FR front() #define BA back() #define ALL(c) c.begin(), c.end() #define RALL(c) c.rbegin(), c.rend() #define RV(c) reverse(ALL(c)) #define SC static_cast #define SI(c) SC(c.size()) #define SL(c) SC(c.size()) #define RF(e, c) for(auto & e: c) #define SF(c, ...) for(auto & [__VA_ARGS__]: c) #define until(e) while(! (e)) #define if_not(e) if(! (e)) #define ef else if #define UR assert(false) auto * IS = & cin; auto * OS = & cout; array SEQ = { "", " ", "" }; // input template T in() { T a; (* IS) >> a; return a; } // input: tuple template void tin_(istream & is, U & t) { if constexpr(I < tuple_size::value) { is >> get(t); tin_(is, t); } } template istream & operator>>(istream & is, tuple & t) { tin_<0>(is, t); return is; } template auto tin() { return in>(); } // input: array template istream & operator>>(istream & is, array & a) { RF(e, a) { is >> e; } return is; } template auto ain() { return in>(); } // input: multi-dimensional vector template T vin() { T v; (* IS) >> v; return v; } template auto vin(N n, M ... m) { vector(m ...))> v(n); inc(i, n) { v[i] = vin(m ...); } return v; } // input: multi-column (tuple) template void colin_([[maybe_unused]] U & t) { } template void colin_(U & t) { get(t).PB(in()); colin_(t); } template auto colin(int n) { tuple ...> t; inc(i, n) { colin_ ...>, 0, T ...>(t); } return t; } // output void out_([[maybe_unused]] string s) { } template void out_([[maybe_unused]] string s, A && a) { (* OS) << a; } template void out_(string s, A && a, B && ... b) { (* OS) << a << s; out_(s, b ...); } auto outF = [](auto x, auto y, auto z, auto ... a) { (* OS) << x; out_(y, a ...); (* OS) << z << flush; }; auto out = [](auto ... a) { outF("", " " , "\n", a ...); }; auto outS = [](auto ... a) { outF("", " " , " " , a ...); }; auto outL = [](auto ... a) { outF("", "\n", "\n", a ...); }; auto outN = [](auto ... a) { outF("", "" , "" , a ...); }; // output: multi-dimensional vector template ostream & operator<<(ostream & os, vector const & v) { os << SEQ[0]; inc(i, SI(v)) { os << (i == 0 ? "" : SEQ[1]) << v[i]; } return (os << SEQ[2]); } template void vout_(T && v) { (* OS) << v; } template void vout_(T && v, A a, B ... b) { inc(i, SI(v)) { (* OS) << (i == 0 ? "" : a); vout_(v[i], b ...); } } template void vout (T && v, A a, B ... b) { vout_(v, a, b ...); (* OS) << a << flush; } template void voutN(T && v, A a, B ... b) { vout_(v, a, b ...); (* OS) << flush; } // ---- ---- // make vector template T MV(T v) { return v; } template auto MV(T v, int a, U ... b) { return vector(a, MV(v, b ...)); } int main() { auto [n, k] = ain(); auto dp = MV(-1, k, k); map, int> mp; vector ma(k, -1), ma2(k, -1); auto add = [&](int x, int y, int v) { if(dp[x][y] < v) { setmax(mp[{ x, y }], v); setmax(ma2[x], v); setmax(ma2[y], v); } }; auto upd = [&] { SF(mp, p, v) { dp[p.FI][p.SE] = v; } mp.clear(); ma = ma2; }; add(in() % k, in() % k, 0); upd(); inc(i, n) { auto z = in() % k; inc(x, k) { add(z, x, ma[x]); add(x, z, ma[x]); int y = (2*k - x - z) % k; if(dp[x][y] == -1) { continue; } add(z, y, dp[x][y] + 1); add(x, z, dp[x][y] + 1); add(x, y, dp[x][y] + 1); } upd(); } int ans = 0; inc(x, k) { inc(y, k) { setmax(ans, dp[x][y]); } } out(ans); }