// O(N * log(N) + D * log(N) * log(|max_ans|)) time solution #include #define N_MAX 1000 #define D_MAX 1000 #define P_MAX 100000 typedef struct { int key, id; } data; void merge_sort(int n, data x[]) { static data y[N_MAX + 1]; if (n <= 1) return; merge_sort(n / 2, &(x[0])); merge_sort((n + 1) / 2, &(x[n/2])); int i, p, q; for (i = 0, p = 0, q = n / 2; i < n; i++) { if (p >= n / 2) y[i] = x[q++]; else if (q >= n) y[i] = x[p++]; else y[i] = (x[p].key < x[q].key)? x[p++]: x[q++]; } for (i = 0; i < n; i++) x[i] = y[i]; } void chmax(long long* a, long long b) { if (*a < b) *a = b; } int BS_floor(int N, int P[], int x) { int l = 0, r = N, m; while (l < r) { m = (l + r + 1) / 2; if (P[m] <= x) l = m; else r = m - 1; } return l; } int main() { int i, N, D, P[N_MAX + 1], Q[N_MAX + 1]; data d[N_MAX + 1]; scanf("%d %d", &N, &D); for (i = 0; i < N; i++) scanf("%d %d", &(d[i].key), &(d[i].id)); merge_sort(N, d); for (i = 0; i < N; i++) { P[i+1] = d[i].key; Q[i+1] = d[i].id; } P[0] = 0; Q[0] = -P_MAX; int j, argmax[N_MAX + 1][3] = {}; for (i = 1; i <= N; i++) { for (j = 0; j < 3; j++) argmax[i][j] = argmax[i-1][j]; j = argmax[i-1][0]; if (Q[i] - P[i] > Q[j] - P[j]) { argmax[i][2] = argmax[i][1]; argmax[i][1] = argmax[i][0]; argmax[i][0] = i; continue; } j = argmax[i-1][1]; if (Q[i] - P[i] > Q[j] - P[j]) { argmax[i][2] = argmax[i][1]; argmax[i][1] = i; continue; } j = argmax[i-1][2]; if (Q[i] - P[i] > Q[j] - P[j]) argmax[i][2] = i; } long long l = 1, r = (long long)D * P[2], m, dp[D_MAX + 1][4], tmp; int h, k, kk; while (l < r) { m = (l + r) / 2; for (i = 0; i <= D; i++) for (j = 0; j < 4; j++) dp[i][j] = -1; for (i = 1, dp[0][3] = m; i <= D; i++) { for (j = 0; j < 4; j++) { if (dp[i-1][j] < 0) continue; else if (dp[i-1][j] > P[N]) k = N; else k = BS_floor(N, P, (int)dp[i-1][j]); for (h = 0; h < 3; h++) { if (h == j || P[argmax[k][h]] == 0) continue; tmp = dp[i-1][j] - P[argmax[k][h]]; if (tmp < 0) continue; else tmp += Q[argmax[k][h]]; if (tmp > P[N]) kk = N; else kk = BS_floor(N, P, (int)tmp); if (argmax[k][h] == argmax[kk][0]) chmax(&(dp[i][0]), tmp); else if (argmax[k][h] == argmax[kk][1]) chmax(&(dp[i][1]), tmp); else if (argmax[k][h] == argmax[kk][2]) chmax(&(dp[i][2]), tmp); else chmax(&(dp[i][3]), tmp); } } if (dp[i][0] + dp[i][1] + dp[i][2] + dp[i][3] == -4) break; } if (i > D) r = m; else l = m + 1; } printf("%d\n", -l); fflush(stdout); return 0; }