답안 #23160

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
23160 2017-05-03T18:06:15 Z ngkan146 수열 (APIO14_sequence) C++
71 / 100
779 ms 131072 KB
#include <bits/stdc++.h>
#define ll long long
using namespace std;
int n,k,a[100005];
vector <ll> dp[205];
int last[100005][205];
vector <ll> M,B,ID;
bool check(int id){
   return (B[id] - B[id-2]) * (M[id-2] - M[id-1]) <= (B[id-1] - B[id-2]) * (M[id-2] - M[id]);
}
void add_line(ll slope,ll val,ll id){
   M.push_back(slope);
   B.push_back(val);
   ID.push_back(id);
   while(M.size() >= 2 && M[M.size()-2] == M[M.size()-1]){
      if (B[M.size()-2] <= B[M.size()-1]){
         M.erase(M.end()-2);
         B.erase(B.end()-2);
         ID.erase(ID.end()-2);
      }
      else{
         M.erase(M.end()-1);
         B.erase(B.end()-1);
         ID.erase(ID.end()-1);
      }
   }
   while(M.size() >= 3 && check(M.size()-1)) ID.erase(ID.end()-2), M.erase(M.end()-2), B.erase(B.end()-2);
}
int ctrl;
ll get(ll x){
   ctrl = min(ctrl, (int)M.size()-1);
   while(ctrl < M.size()-1 && M[ctrl] * x + B[ctrl] <= M[ctrl+1] * x + B[ctrl+1])
      ++ctrl;
   return ctrl;
}
int main(){
   scanf("%d %d",&n,&k);
   k++;
   for(int i=1;i<=n;i++)
      scanf("%d",&a[i]),
      a[i] += a[i-1];
   dp[0].assign(n+5,-(ll) 1e18);
   dp[0][0] = 0;
   for(int t=1;t<=k;t++){
      M.clear(); B.clear(); ID.clear();
      add_line(0,0,0);
      if (t >= 2) dp[t-2].clear();
      dp[t].assign(n+5,0);
      for(int i=1;i<=n;i++){
         int id = get(a[i]);
         dp[t][i] = M[id] * a[i] + B[id];
         last[i][t] = ID[id];
         add_line(a[i], dp[t-1][i] - 1ll * a[i] * a[i], i);
      }
   }
   vector <int> res;
   int mjk = n;
   for(int t=k;t>1;t--){
      res.push_back(last[mjk][t]);
      mjk = last[mjk][t];
   }
   reverse(res.begin(),res.end());
   printf("%lld\n",dp[k][n]);
   for(int i=0;i<res.size();i++) printf("%d ",res[i]);
   //cout << endl; for(int i=0;i<res.size();i++) cout << dp[i+1][res[i]] << ' ';
}
/*
7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp: In function 'long long int get(long long int)':
sequence.cpp:32:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    while(ctrl < M.size()-1 && M[ctrl] * x + B[ctrl] <= M[ctrl+1] * x + B[ctrl+1])
               ^
sequence.cpp: In function 'int main()':
sequence.cpp:64:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i=0;i<res.size();i++) printf("%d ",res[i]);
                 ^
sequence.cpp:37:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d %d",&n,&k);
                        ^
sequence.cpp:41:21: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
       a[i] += a[i-1];
                     ^
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 82500 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 82500 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 82500 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 82500 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 82500 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 82500 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 82500 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 82500 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 82500 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 82500 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 82500 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 82500 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 82500 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 82500 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 82500 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 82500 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 82500 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 82500 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 82500 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 82500 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 82500 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 82500 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 82500 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 82500 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 82500 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 82500 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 82500 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 82500 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 82500 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 0 ms 82896 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 82500 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 0 ms 82764 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 0 ms 82764 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 82896 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 82632 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 82632 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 82632 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 82632 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 82632 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 84100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 82632 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 84100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 83836 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 84100 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 84100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 0 ms 82900 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 83168 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 83144 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 83144 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 103 ms 98804 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 83328 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 59 ms 92368 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 79 ms 93932 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 73 ms 94896 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 59 ms 92708 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 49 ms 94116 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 79 ms 97240 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 63 ms 89580 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 69 ms 89580 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Memory limit exceeded 779 ms 131072 KB Memory limit exceeded
4 Halted 0 ms 0 KB -