結果

問題 No.1405 ジグザグロボット
ユーザー SSRS
提出日時 2021-02-18 07:52:21
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 450 ms / 3,153 ms
コード長 7,024 bytes
コンパイル時間 2,370 ms
コンパイル使用メモリ 204,688 KB
実行使用メモリ 36,224 KB
最終ジャッジ日時 2024-09-16 23:40:56
合計ジャッジ時間 10,470 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 35
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
const int INF = 1000000;
vector<int> dy = {1, 0, 0};
vector<int> dx = {0, 1, -1};
struct lazy_segment_tree{
int N;
vector<int> ST, lazy;
lazy_segment_tree(vector<int> &A){
int n = A.size();
N = 1;
while (N < n){
N *= 2;
}
ST = vector<int>(N * 2 - 1, -INF);
for (int i = 0; i < n; i++){
ST[N - 1 + i] = A[i];
}
for (int i = N - 2; i >= 0; i--){
ST[i] = max(ST[i * 2 + 1], ST[i * 2 + 2]);
}
lazy = vector<int>(N * 2 - 1, 0);
}
void eval(int i){
if (i < N - 1){
lazy[i * 2 + 1] += lazy[i];
lazy[i * 2 + 2] += lazy[i];
}
ST[i] += lazy[i];
lazy[i] = 0;
}
void range_add(int L, int R, int x, int i, int l, int r){
eval(i);
if (r <= L || R <= l){
return;
} else if (L <= l && r <= R){
lazy[i] = x;
eval(i);
} else {
int m = (l + r) / 2;
range_add(L, R, x, i * 2 + 1, l, m);
range_add(L, R, x, i * 2 + 2, m, r);
ST[i] = max(ST[i * 2 + 1], ST[i * 2 + 2]);
}
}
void range_add(int L, int R, int x){
range_add(L, R, x, 0, 0, N);
}
int range_max(int L, int R, int i, int l, int r){
eval(i);
if (r <= L || R <= l){
return -INF;
} else if (L <= l && r <= R){
return ST[i];
} else {
int m = (l + r) / 2;
return max(range_max(L, R, i * 2 + 1, l, m), range_max(L, R, i * 2 + 2, m, r));
}
}
int range_max(int L, int R){
return range_max(L, R, 0, 0, N);
}
};
int main(){
int N, X, Y;
cin >> N >> X >> Y;
string S;
cin >> S;
vector<string> T(1);
for (int i = 0; i < N; i++){
if (S[i] == 'S'){
T.push_back("");
} else {
T.back() += S[i];
}
}
int K = T.size();
if (Y >= K){
cout << -1 << endl;
} else {
vector<int> a(K + 1, 0);
vector<vector<pair<int, int>>> add(K);
vector<vector<int>> a2 = {a};
for (int i = 0; i < K; i++){
int sz = T[i].size();
for (int j = 0; j < sz; j++){
if (T[i][j] == 'R'){
for (int k = 0; k <= i; k++){
a[k]++;
}
add[i].push_back(make_pair(i + 1, 1));
}
if (T[i][j] == 'L'){
int r = 0;
while (a[r] > 0){
r++;
}
for (int k = 0; k < r; k++){
a[k]--;
}
add[i].push_back(make_pair(r, -1));
}
}
a2.push_back(a);
}
vector<vector<int>> dp(Y + 2, vector<int>(K + 1, -INF));
dp[0][0] = 0;
for (int i = 0; i <= Y; i++){
lazy_segment_tree ST(dp[i]);
for (int j = 0; j <= K; j++){
dp[i + 1][j] = ST.range_max(0, j);
if (j < K){
int cnt = add[j].size();
for (int k = 0; k < cnt; k++){
ST.range_add(0, add[j][k].first, add[j][k].second);
}
}
}
}
if (dp[Y + 1][K] < X){
cout << -1 << endl;
} else {
vector<int> P(Y + 2);
P[Y + 1] = K;
for (int i = Y; i >= 0; i--){
for (int j = 0; j < P[i + 1]; j++){
if (dp[i + 1][P[i + 1]] == dp[i][j] + a2[P[i + 1]][j]){
P[i] = j;
break;
}
}
}
vector<int> L(Y + 1);
for (int i = 0; i <= Y; i++){
L[i] = dp[i][P[i]];
}
vector<string> T2(Y + 1);
for (int i = 0; i <= Y; i++){
for (int j = P[i]; j < P[i + 1]; j++){
T2[i] += T[j];
T2[i] += 'S';
}
}
T2[Y].pop_back();
vector<int> R = L;
for (int i = 0; i <= Y; i++){
int x = L[i];
int l = T2[i].size();
for (int j = 0; j < l; j++){
if (T2[i][j] == 'L'){
x--;
}
if (T2[i][j] == 'R'){
x++;
}
x = max(x, L[i]);
R[i] = max(R[i], x);
}
}
set<pair<int, int>> st;
for (int i = 0; i <= Y; i++){
for (int j = L[i]; j <= R[i]; j++){
st.insert(make_pair(i, j));
}
}
vector<vector<int>> ans(Y + 2);
for (auto P : st){
int y = P.first;
int x = P.second;
for (int i = 0; i < 3; i++){
int y2 = y + dy[i];
int x2 = x + dx[i];
if (st.count(make_pair(y2, x2)) == 0){
ans[y2].push_back(x2);
}
}
}
for (int i = 0; i < Y + 2; i++){
sort(ans[i].begin(), ans[i].end());
ans[i].erase(unique(ans[i].begin(), ans[i].end()), ans[i].end());
}
while (true){
set<pair<int, int>> st2;
for (int i = 0; i < Y + 2; i++){
int cnt = ans[i].size();
for (int j = 0; j < cnt; j++){
st2.insert(make_pair(i, ans[i][j]));
}
}
int cx = 0, cy = 0;
vector<int> up(Y + 1);
vector<int> id(Y);
for (int i = 0; i < N; i++){
int x2 = cx, y2 = cy;
if (S[i] == 'L'){
x2--;
}
if (S[i] == 'R'){
x2++;
}
if (S[i] == 'S'){
y2++;
}
if (st2.count(make_pair(y2, x2)) == 1){
x2 = cx;
y2 = cy;
}
if (y2 != cy){
id[cy] = i;
up[cy] = x2;
}
cx = x2;
cy = y2;
}
up[Y] = cx;
if (cx == X){
break;
}
vector<int> d(Y + 1);
d[0] = up[0];
for (int j = 1; j <= Y; j++){
d[j] = up[j] - up[j - 1];
}
int p = 0;
while (d[p] == 0){
p++;
}
ans[p].back()--;
set<pair<int, int>> st3;
for (int i = 0; i < Y + 2; i++){
int cnt = ans[i].size();
for (int j = 0; j < cnt; j++){
st3.insert(make_pair(i, ans[i][j]));
}
}
vector<int> px(N + 1), py(N + 1);
px[0] = 0;
py[0] = 0;
for (int i = 0; i < N; i++){
px[i + 1] = px[i];
py[i + 1] = py[i];
if (S[i] == 'L'){
px[i + 1]--;
}
if (S[i] == 'R'){
px[i + 1]++;
}
if (S[i] == 'S'){
py[i + 1]++;
}
if (st3.count(make_pair(py[i + 1], px[i + 1])) == 1 || py[i + 1] > p){
px[i + 1] = px[i];
py[i + 1] = py[i];
}
}
if (px[id[p]] != up[p]){
for (int i = p + 1; i < Y + 2; i++){
int cnt = ans[i].size();
for (int j = 0; j < cnt; j++){
ans[i][j]--;
}
}
}
}
for (int i = 0; i < Y + 2; i++){
ans[i].erase(unique(ans[i].begin(), ans[i].end()), ans[i].end());
}
int M = 0;
for (int i = 0; i < Y + 2; i++){
M += ans[i].size();
}
cout << M << endl;
for (int i = 0; i < Y + 2; i++){
int cnt = ans[i].size();
for (int j = 0; j < cnt; j++){
cout << ans[i][j] << ' ' << i << endl;
}
}
}
}
}
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