結果

問題 No.3322 引っ張りだこ
コンテスト
ユーザー のらら
提出日時 2025-10-22 19:39:22
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 7,808 bytes
コンパイル時間 4,372 ms
コンパイル使用メモリ 208,680 KB
実行使用メモリ 41,936 KB
最終ジャッジ日時 2025-10-31 20:35:49
合計ジャッジ時間 48,427 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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ファイルパターン 結果
other AC * 21 WA * 17 TLE * 1 -- * 4
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ソースコード

diff # 

//貪欲マージテク+適度にばらついて移動することを期待したDP(嘘解法)
//嘘解法の寄せ集め
#include <iostream>
#include <algorithm>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using ll = long long;
const long long INF = 1000000000000000000;
//#define endl "\n";
ll Q, N, K, A[200009][2];

ll solve1(){
  const ll Kmax = 200;
  const ll buff = 100;
  ll ret = -INF;
  vector<tuple<ll,ll,ll>> vb;
  ll pos = 0, left = 0, valA = 0, valB = 0;
  vector<ll> chg(N, 0);
  for(int i = 0; i < N; i++){
    if(pos == 0){
      if(A[i][0] < A[i][1]){
        pos = 1;
        valA = A[i][1];
        valB = A[i][0];
        left = i;
        continue;
      } 
    }
    if(pos == 1){
      if(A[i][0] > A[i][1]){
        pos = 0;
        vb.push_back(make_tuple(valA - valB, left, i));
        valA = 0;
        valB = 0;
        continue;
      }else{
        valA += A[i][1];
        valB += A[i][0];
      }
    }
  }
  if(valA - valB > 0) vb.push_back(make_tuple(valA - valB, left, N));
  sort(vb.rbegin(), vb.rend());
  ll selected = 0, posvb = 0;
  ll K2 = (K + 1) / 2;
  while(selected <= K2 - buff && posvb < (int)vb.size()){
    auto [val, l, r] = vb[posvb];
    chg[l] = 1;
    selected++;
    posvb++;
  }
  if(selected <= K2 - buff){
    //全部選べる
    ll ret = 0;
    for(int i = 0; i < N; i++){
      if(A[i][0] >= A[i][1]){
        ret += A[i][0];
      }else{
        ret += A[i][1];
      }
    }
    return ret;
  }
  
  vector<vector<ll>> dp(Kmax + 1, vector<ll>(2,-INF));
  vector<vector<ll>> nexdp(Kmax + 1, vector<ll>(2,-INF));
  dp[K2 - selected][0] = 0;
  for(int i = 0; i < N; i++){
    for(int j = 0; j <= Kmax; j++){
      for(int k = 0; k < 2; k++){
        if(chg[i] == 0){
          nexdp[j][0] = max(nexdp[j][0], dp[j][0] + A[i][0]);
          nexdp[j][1] = max(nexdp[j][1], dp[j][1] + A[i][1]);
          if(0 <= j - 1) nexdp[j - 1][1] = max(nexdp[j - 1][1], dp[j][0] + A[i][1]);
          nexdp[j][0] = max(nexdp[j][0], dp[j][1] + A[i][0]);
        }
        if(chg[i] == 1){
          if(j + 1 <= Kmax) nexdp[j + 1][0] = max(nexdp[j + 1][0], dp[j][0] + A[i][0]);
          //nexdp[j][1] = max(nexdp[j][1], dp[j][1] + A[i][1]);
          if(j + 1 <= Kmax) nexdp[j + 1][1] = max(nexdp[j + 1][1], dp[j][1] + A[i][1]); //なんで？
          nexdp[j][1] = max(nexdp[j][1], dp[j][0] + A[i][1]);
          nexdp[j][0] = max(nexdp[j][0], dp[j][1] + A[i][0]);
        }
      }
    }
    swap(dp, nexdp);
  }
  /*for(int j = 0; j <= min(K2, Kmax); j++) cout << dp[j][0] << " ";
  cout << endl;
  for(int j = 0; j <= min(K2, Kmax); j++) cout << dp[j][1] << " ";
  cout << endl;*/

  for(int j = 0; j <= min(K2, Kmax); j++){
    for(int k = 0; k < 2; k++) if(K2 * 2 - (j * 2 + k) <= K) ret = max(ret, dp[j][k]);
  }
  return ret;
}

ll solve2(){
  const ll Kmax = 400;
  const ll center = 200;
  ll ret = -INF;
  vector<vector<ll>> dp(Kmax + 1, vector<ll>(2,-INF));
  vector<vector<ll>> nexdp(Kmax + 1, vector<ll>(2,-INF));
  ll K2 = (K + 1) / 2;
  dp[center][0] = 0;
  ll prehiku = 0;
  for(int i = 0; i < N; i++){
    ll hiku = K2 * (i + 1) / N;
    for(int j = 0; j <= Kmax; j++){
      if(prehiku == hiku){
        nexdp[j][0] = max(nexdp[j][0], dp[j][0] + A[i][0]);
        nexdp[j][1] = max(nexdp[j][1], dp[j][1] + A[i][1]);
        if(j + 1 <= Kmax) nexdp[j + 1][1] = max(nexdp[j + 1][1], dp[j][0] + A[i][1]);
        nexdp[j][0] = max(nexdp[j][0], dp[j][1] + A[i][0]);
      }else{
        //情報を1つ捨てる
        if(0 <= j - 1) nexdp[j - 1][0] = max(nexdp[j - 1][0], dp[j][0] + A[i][0]);
        nexdp[j][0] = max(nexdp[j][0], dp[j][0] + A[i][0]); //変更回数が増える分には構わない
        if(0 <= j - 1) nexdp[j - 1][1] = max(nexdp[j - 1][1], dp[j][1] + A[i][1]);
        nexdp[j][1] = max(nexdp[j][1], dp[j][1] + A[i][1]); //変更回数が増える分には構わない
        nexdp[j][1] = max(nexdp[j][1], dp[j][0] + A[i][1]);
        if(0 <= j - 1) nexdp[j - 1][0] = max(nexdp[j - 1][0], dp[j][1] + A[i][0]);
        nexdp[j][0] = max(nexdp[j][0], dp[j][1] + A[i][0]); //変更回数が増える分には構わない
      }
    }
    prehiku = hiku;
    swap(dp, nexdp);
  }
  for(int j = max(0LL, center - K2); j < center; j++){
    for(int k = 0; k < 2; k++) ret = max(ret, dp[j][k]);
  }
  if(K2 * 2 == K) ret = max(ret, dp[center][0]);
  ret = max(ret, dp[center][1]);

  return ret;
}

ll solve3(){
    using classPQ = tuple<ll, ll, ll, ll, ll>;
    priority_queue<classPQ, vector<classPQ>, less<classPQ>> que;
    vector<vector<ll>> tA(N + 1, vector<ll>(2, 0));
    vector<ll> l(N + 1, 0), r(N + 1, 0), tasu_a(N + 1, 0), tasu_b(N + 1, 0), selected(N + 1, 0);
    tA[0][1] = -INF;
    l[0] = 0, r[0] = 0;
    tasu_a[0] = 0, tasu_b[0] = tA[0][1];
    selected[0] = 0;
    for(int i = 0; i < N; i++){
      l[i + 1] = i + 1, r[i + 1] = i + 1;
      tA[i + 1][0] = A[i][0], tA[i + 1][1] = A[i][1];
      if(A[i][0] >= A[i][1]){
        tasu_a[i + 1] = A[i][0];
        tasu_b[i + 1] = A[i][1];
        selected[i + 1] = 0;
      }else{
        tasu_a[i + 1] = A[i][1];
        tasu_b[i + 1] = A[i][0];
        selected[i + 1] = 1;
      }
    }
    ll pos = 0, chg = 0, ret = 0;
    dsu d(N + 1);
    for(ll i = 1; i <= N; i++){
      if(tA[i][pos] < tA[i][(pos+1)%2]){
        ll ld = d.leader(i - 1);
        ret += tasu_a[ld];
        chg++;
        que.push(make_tuple(tasu_b[ld] - tasu_a[ld], ld, l[ld], r[ld], selected[ld]));
        pos = (pos+1)%2;
      }else{
        ll ld1 = d.leader(i - 1);
        ll ld2 = d.leader(i);
        ll ld = d.merge(i - 1, i);
        tasu_a[ld] = tasu_a[ld1] + tasu_a[ld2];
        tasu_b[ld] = tasu_b[ld1] + tasu_b[ld2];
        l[ld] = min(l[ld1], l[ld2]);
        r[ld] = max(r[ld1], r[ld2]);
        selected[ld] = pos;
        d.merge(ld1, ld2);
      }
    }
    ll restId = d.leader(N);
    que.push(make_tuple(tasu_b[restId] - tasu_a[restId], restId, l[restId], r[restId], selected[restId]));
    ret += tasu_a[d.leader(N)];
  
    while(!que.empty()){
      auto [dd, idx, tl, tr, sel] = que.top();
      //cout << dd << " " << idx << " " << tl << " " << tr << " " << sel << " " << chg << endl;
      que.pop();
      if(chg <= K) continue; //flip不要
      if(tl != l[idx] || tr != r[idx]) continue;
      ll chgplus = 0;
      ll ld1 = d.leader(max(0LL, tl - 1));
      ll ld2 = d.leader(min(N, tr + 1));
      if(selected[idx] != selected[ld1]) chgplus++;
      if(selected[idx] != selected[ld2]) chgplus++;
      if(chgplus <= 0) continue; //入らないはず
      if(chg % 2 == K % 2 && chgplus == 1) continue; //もう1回余分にflipが必要になるのでやらない
      ret += dd;
      ll nextasu_a = tasu_b[idx], nextasu_b = tasu_a[idx];
      ll nexld = idx;
      if(selected[idx] != selected[ld1]){
        nextasu_a += tasu_a[ld1];
        nextasu_b += tasu_b[ld1];
        nexld = d.merge(idx, ld1);
        l[nexld] = min(l[idx], l[ld1]);
        r[nexld] = max(r[idx], r[ld1]);
      }
      if(selected[idx] != selected[ld2]){
        nextasu_a += tasu_a[ld2];
        nextasu_b += tasu_b[ld2];
        nexld = d.merge(nexld, ld2);
        l[nexld] = min(l[nexld], l[ld2]);
        r[nexld] = max(r[nexld], r[ld2]);
      }
      selected[nexld] = (selected[idx] + 1) % 2;
      tasu_b[nexld] = nextasu_b;
      tasu_a[nexld] = nextasu_a;
      que.push(make_tuple(tasu_b[nexld] - tasu_a[nexld], nexld, l[nexld], r[nexld], selected[nexld]));
      chg -= chgplus;
    }
  return ret;
}


int main(){
  cin >> Q;
  for(int q = 1; q <= Q; q++){
    cin >> N >> K;
    for(int i = 0; i < N; i++) cin >> A[i][0];
    for(int i = 0; i < N; i++) cin >> A[i][1];
    ll ans = -INF;
    ans = max(ans, solve1());
    ans = max(ans, solve2());
    ans = max(ans, solve3());
    cout << ans << endl;
  }
  return 0;
}
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