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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. #define int long long int
  4. #define double long double
  5. #define print(a) for(auto x : a) cout << x << " "; cout << endl
  6. inline int power(int a, int b) {
  7. int x = 1;
  8. while (b) {
  9. if (b & 1) x *= a;
  10. a *= a;
  11. b >>= 1;
  12. }
  13. return x;
  14. }
  15.  
  16.  
  17. const int M = 1000000007;
  18. const int N = 3e5+9;
  19. const int INF = 2e9+1;
  20. const int LINF = 2000000000000000001;
  21.  
  22. //_ ***************************** START Below *******************************
  23.  
  24.  
  25.  
  26.  
  27. vector<int> a;
  28.  
  29. //* Using Sorted set
  30. //* O(nLogn)
  31.  
  32. int consistency1(int n, int x, int y) {
  33. int ans = -LINF;
  34.  
  35. vector<int> prefix(n+1, 0);
  36. for(int i=1; i<=n; i++){
  37. prefix[i] = prefix[i-1] + a[i-1];
  38. }
  39. for(int i=1; i<=y-x; i++){
  40. prefix.push_back(-LINF);
  41. }
  42.  
  43. set<pair<int,int> > st;
  44.  
  45. int size = prefix.size();
  46.  
  47. int s = 0, e = 0;
  48. int l = 0;
  49.  
  50. while(e<size){
  51. st.insert({prefix[e], e});
  52.  
  53. while(e-l+1 > y-x+1){
  54. st.erase({prefix[l], l});
  55. l++;
  56. }
  57.  
  58. if(e-s+1 < y+1){
  59. e++;
  60. }
  61. else{
  62.  
  63. int maxi = (*st.rbegin()).first;
  64.  
  65. ans = max(ans, maxi-prefix[s]);
  66.  
  67. st.erase({prefix[l], l});
  68.  
  69. l++;
  70. s++;
  71. e++;
  72. }
  73. }
  74.  
  75.  
  76. return ans;
  77. }
  78.  
  79.  
  80.  
  81.  
  82.  
  83. //* Template :
  84.  
  85. //* Using deque
  86. //* O(n)
  87.  
  88. int consistency2(int n, int x, int y) {
  89. int ans = -LINF;
  90.  
  91. vector<int> prefix(n+1, 0);
  92. for(int i=1; i<=n; i++){
  93. prefix[i] = prefix[i-1] + a[i-1];
  94. }
  95. for(int i=1; i<=y-x; i++){
  96. prefix.push_back(-LINF);
  97. }
  98.  
  99. deque<int> down;
  100.  
  101. int size = prefix.size();
  102.  
  103. int s = 0, e = 0;
  104. int l = 0;
  105.  
  106. while(e<size){
  107. while(!down.empty() && prefix[down.back()] < prefix[e] ) down.pop_back();
  108. down.push_back(e);
  109.  
  110. while(e-l+1 > y-x+1){
  111. if(down.front() == l) down.pop_front();
  112. l++;
  113. }
  114.  
  115. if(e-s+1 < y+1){
  116. e++;
  117. }
  118. else{
  119.  
  120. int maxi = prefix[down.front()];
  121.  
  122. ans = max(ans, maxi-prefix[s]);
  123.  
  124. if(down.front() == l) down.pop_front();
  125.  
  126. l++;
  127. s++;
  128. e++;
  129. }
  130. }
  131.  
  132.  
  133. return ans;
  134. }
  135.  
  136.  
  137.  
  138.  
  139.  
  140.  
  141. //* Template 2
  142.  
  143. //* Using deque
  144. //* O(n)
  145.  
  146. int consistency3(int n, int x, int y) {
  147. int ans = -LINF;
  148.  
  149. deque<int> up;
  150.  
  151. vector<int> prefix(n+1);
  152. for(int i=0; i<n; i++) prefix[i+1] = prefix[i] + a[i];
  153. int sum = 0;
  154.  
  155. //* Use 1 based indexing
  156. for(int i=x; i<=n; i++){
  157.  
  158. while(!up.empty() && prefix[i-x] < prefix[up.back()] ) up.pop_back();
  159. up.push_back(i-x);
  160.  
  161.  
  162. if(i-y-1>=0){
  163. if( i-y-1 == up.front() ) up.pop_front();
  164. }
  165.  
  166. int mini = prefix[up.front()];
  167.  
  168. ans = max(ans, prefix[i] - mini);
  169.  
  170. }
  171.  
  172. return ans;
  173. }
  174.  
  175.  
  176.  
  177.  
  178.  
  179.  
  180.  
  181.  
  182.  
  183.  
  184.  
  185.  
  186.  
  187.  
  188.  
  189.  
  190.  
  191. int practice(int n, int x, int y) {
  192.  
  193.  
  194. }
  195.  
  196.  
  197.  
  198.  
  199.  
  200.  
  201. void solve() {
  202.  
  203. int n, x, y;
  204. cin>>n >> x >> y;
  205.  
  206. a.resize(n);
  207. for(int i=0; i<n; i++) cin >> a[i];
  208.  
  209. cout << consistency1(n, x, y) << " " << consistency2(n, x, y) << " " << consistency3(n, x, y) << endl;
  210.  
  211. // cout << consistency1(n, x, y) << " -> " << practice(n, x, y) << endl;
  212.  
  213.  
  214.  
  215.  
  216.  
  217. }
  218.  
  219.  
  220.  
  221.  
  222.  
  223. int32_t main() {
  224. ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  225.  
  226. int t = 1;
  227. while (t--) {
  228. solve();
  229. }
  230.  
  231. return 0;
  232. }
Success #stdin #stdout 0s 5316KB
stdin
10 4 6
-7 8 -3 -5 -2 7 6 4 -5 10
stdout
22 22 22