#include using namespace std; inline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;} template inline string toString(T x) {ostringstream sout;sout< VI; typedef vector VVI; typedef vector VL; typedef vector> VVL; typedef vector VS; typedef pair P; typedef tuple tpl; #define ALL(a) (a).begin(),(a).end() #define SORT(c) sort((c).begin(),(c).end()) #define REVERSE(c) reverse((c).begin(),(c).end()) #define LB(a,x) lower_bound((a).begin(), (a).end(), x) - (a).begin() #define UB(a,x) upper_bound((a).begin(), (a).end(), x) - (a).begin() #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define RFOR(i,a,b) for(int i=(a)-1;i>=(b);--i) #define RREP(i,n) RFOR(i,n,0) #define en "\n" constexpr double EPS = 1e-9; constexpr double PI = 3.141592653589793238462643383279; constexpr int INF = 2147483647; constexpr long long LINF = 1LL<<60; constexpr long long MOD = 1000000007; // 998244353; #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } int main(void){ ll N,V,L; cin >> N >> V >> L; VI x(N+2,0), v(N), w(N); x[N+1] = L; REP(i,N) cin >> x[i+1] >> v[i] >> w[i]; ll dp[N+2][V+1][2]; REP(i,N+2)REP(j,V+1)REP(k,2) dp[i][j][k] = LINF; priority_queue,greater> q; q.push(tpl(0, 0, V, 0)); while(q.size()){ ll cost, n, p, k; tie(cost, n, p, k) = q.top(); q.pop(); if(dp[n][p][k] <= cost) continue; dp[n][p][k] = cost; if(n == N+1) continue; if(k == 1) q.push(tpl(cost+w[n-1], n, min(V,p+v[n-1]), 0)); ll len = x[n+1] - x[n]; if(p - len < 0) continue; q.push(tpl(cost, n+1, p-len, 1)); } ll ans = LINF; REP(i,V+1)REP(k,2) chmin(ans, dp[N+1][i][k]); cout << (ans