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Sep 23rd, 2019
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  1. #define _CRT_SECURE_NO_WARNINGS
  2. #include <iostream>
  3. #include <algorithm>
  4. #include <math.h>
  5. #include <cmath>
  6. #include <map>
  7. #include <stack>
  8. #include <vector>
  9. #include <set>
  10. #include <string>
  11. #include <fstream>
  12. #include <queue>
  13.  
  14. using namespace std;
  15.  
  16. #define ll long long
  17. #define rt return
  18. #define all(a) a.begin(), a.end()
  19. #define mp make_pair
  20. #define gg std::ios::sync_with_stdio(false);
  21.  
  22. const int MAX_SIZE = 2e5 + 10, inf = 1e9 + 7;
  23. const long long INF = 1e9 + 10, MAX_VAL = 300 * 300 + 10, MOD = 1e9 + 7;
  24. const double eps = 1e-6, PI = 3.14159;
  25.  
  26. void files() {
  27. freopen("input.txt", "r", stdin);
  28. freopen("output.txt", "w", stdout);
  29. }
  30.  
  31. int n;
  32. ll k;
  33. ll a[3 * MAX_SIZE];
  34. int ind[3 * MAX_SIZE];
  35. ll pref[3 * MAX_SIZE];
  36.  
  37.  
  38. void print() {
  39. cout << endl;
  40. for (int i = 0; i < 3 * n; i++) {
  41. if (i % n == 0) {
  42. cout << "|";
  43. }
  44. cout << a[i] << " ";
  45.  
  46. }
  47. cout << endl;
  48. for (int i = 0; i < 3 * n; i++) {
  49. if (i % n == 0) {
  50. cout << "|";
  51. }
  52. cout << ind[i] << " ";
  53. }
  54. }
  55.  
  56. int S;
  57. pair<int, int> max_len() {
  58. double g = n;
  59. S = sqrt(g) + 10;
  60. int l = 0, r = 0;
  61. ll sum = 0;
  62. int min_sz = inf, l_a, r_a;
  63. while (l < n && r < 2 * n) {
  64. while (r < 2 * n && sum + a[r] <= k) {
  65. sum += a[r];
  66. r++;
  67. }
  68. if (min_sz > (r - l + 1)) {
  69. min_sz = r - l + 1;
  70. l_a = l;
  71. r_a = r;
  72. }
  73. sum -= a[l];
  74. l++;
  75. }
  76. return mp(l_a, r_a);
  77. }
  78.  
  79. int small_answer(int l) {
  80. ll sum = 0;
  81. int it = l, ans = 1;
  82. for (int i = l; i <= l + n - 1; i++) {
  83. if (sum + a[i] > k) {
  84. sum = a[i];
  85. ans++;
  86. }
  87. else {
  88. sum += a[i];
  89. }
  90. }
  91. return ans;
  92. }
  93.  
  94. void solved_small(pair<int, int> p) {
  95. int l = p.first, r = l + n - 1;
  96. int answer = inf;
  97. for (int mask = l; mask <= min(l + S, 2 * n); mask++) {
  98. answer = min(answer, small_answer(mask));
  99. }
  100. //cout << answer << " FIRST SOLVED";
  101. cout << answer;
  102. exit(0);
  103. }
  104.  
  105. void solved_big() {
  106. int answer = inf;
  107. for (int mask = 0; mask < n; mask++) {
  108. int MAX_N = mask + n - 1;
  109. int ans = 1;
  110. int now = mask;
  111. while (now <= MAX_N) {
  112. now = ind[now] + 1;
  113. if (now <= MAX_N)
  114. ans++;
  115. else
  116. break;
  117. }
  118. answer = min(answer, ans);
  119. }
  120.  
  121. //cout << endl;
  122. //cout << answer << " SECOND SOLVED";
  123. cout << answer;
  124. exit(0);
  125. }
  126.  
  127.  
  128. void allocation() {
  129. pair<int, int> p = max_len();
  130. int len = p.second - p.first;
  131. if(len < S) solved_small(p);
  132. else solved_big();
  133.  
  134. }
  135.  
  136. int main() {
  137. gg;
  138. //files();
  139. cin >> n >> k;
  140. ll sum = 0;
  141. for (int i = 0; i < n; i++) {
  142. cin >> a[i];
  143. a[i + n] = a[i];
  144. a[i + 2 * n] = a[i];
  145. }
  146. for (int i = 0; i < 3 * n; i++) {
  147. sum += a[i];
  148. pref[i] = sum;
  149. }
  150.  
  151. if (sum/3 <= k) {
  152. cout << 1;
  153. return 0;
  154. }
  155. sum = 0;
  156. for (int i = 0; i < 2 * n; i++) {
  157. int l = i, r = 3 * n;
  158. while (r - l > 1) {
  159. int m = (r + l) / 2;
  160. if (pref[m] - sum <= k) {
  161. l = m;
  162. }
  163. else {
  164. r = m;
  165. }
  166. }
  167. if (pref[r] - sum <= k) {
  168. ind[i] = r;
  169. }
  170. else {
  171. ind[i] = l;
  172. }
  173. sum += a[i];
  174. }
  175.  
  176.  
  177. allocation();
  178. print();
  179.  
  180.  
  181.  
  182.  
  183. }
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