#include <bits/stdc++.h>
#include <sys/time.h>
using namespace std;
using ll = int64_t;
double get_time() {timeval tv; gettimeofday(&tv, NULL); return tv.tv_sec + tv.tv_usec * 1e-6;}
double start_time = get_time();
double elapsed() {return get_time() - start_time;}
template<typename T> struct FT {
vector<T> s;
FT(int n) : s(n) {}
void update(int pos, T dif) { // a[pos] += dif
for (; pos < (int)s.size(); pos |= pos + 1) s[pos] += dif;
}
T query(int pos) { // sum of values in [0, pos)
T res = 0;
for (; pos > 0; pos &= pos - 1) res += s[pos-1];
return res;
}
};
const int MAXN = int(1e6);
template<int B> void solve(vector<int> X, vector<tuple<int, int, int> > queries, bool pr = true){
auto t_start = get_time();
// recompute every B queries
int N = (int)X.size();
int Q = (int)queries.size();
vector<int> X_ord(N);
for(int i = 0; i < N; i++){
X_ord[i] = i;
}
sort(X_ord.begin(), X_ord.end(), [&](int x, int y){
return X[x] < X[y];
});
vector<ll> tot_wgt(N);
int prv = 0;
vector<ll> answers(Q);
vector<int> X_mapped(N);
while(true){
int nxt = prv + B;
nxt = min(nxt, Q);
vector<vector<int> > qwhere(N+1);
vector<vector<pair<int,ll> > > qwhere_wgt(N+1);
// only query fenwick tree at b
vector<int> ord;
for(int idx = prv; idx < nxt; idx++){
auto [type, day, b] = queries[idx];
if(type == 2){
ord.push_back(idx);
}
}
sort(ord.begin(), ord.end(), [&](int x, int y){
return get<2>(queries[x]) < get<2>(queries[y]);
});
int K = (int)ord.size();
vector<int> amts(K);
vector<int> mapped(nxt-prv, -1);
for(int i = 0; i < (int)ord.size(); i++){
amts[i] = get<2>(queries[ord[i]]);
mapped[ord[i]-prv] = i;
}
{
int i = 0;
for(int j = 0; j < K; j++){
while(i < N && X[X_ord[i]] < amts[j]){
X_mapped[X_ord[i]] = j;
i++;
}
}
while(i < N){
X_mapped[X_ord[i]] = K;
i++;
}
}
vector<int> updates;
for(int idx = prv; idx < nxt; idx++){
auto [type, day, b] = queries[idx];
if(type == 1){
updates.push_back(idx);
} else if(type == 2){
qwhere[day].push_back(idx);
ll at_wgt = 0;
for(int u_idx : updates){
auto [u_type, u_day, u_wgt] = queries[u_idx];
if(day <= u_day){
at_wgt += u_wgt;
} else {
qwhere_wgt[u_day].push_back({idx, u_wgt});
}
}
if(at_wgt){
qwhere_wgt[day].push_back({idx, at_wgt});
}
}
}
{
FT<ll> ft_sum(K+1);
for(int day = 0; day <= N; day++){
for(auto idx : qwhere[day]){
answers[idx] += ft_sum.query(mapped[idx-prv] + 1);
}
if(day < N){
ft_sum.update(X_mapped[day], tot_wgt[day]);
}
}
}
{
FT<int> ft_cnt(K+1);
for(int day = 0; day <= N; day++){
for(auto [idx, u_wgt] : qwhere_wgt[day]){
answers[idx] += ft_cnt.query(mapped[idx-prv] + 1) * u_wgt;
}
if(day < N){
ft_cnt.update(X_mapped[day], 1);
}
}
}
for(int idx = prv; idx < nxt; idx++){
auto [type, day, b] = queries[idx];
if(type == 2){
if(pr) cout << answers[idx] << '\n';
}
}
vector<ll> add_wgt(N+1);
for(int u_idx : updates){
auto [u_type, u_day, u_wgt] = queries[u_idx];
add_wgt[u_day] += u_wgt;
}
ll cur = 0;
for(int i = N; i >= 0; i--){
if(i < N) tot_wgt[i] += cur;
cur += add_wgt[i];
}
if(nxt == Q) break;
prv = nxt;
}
auto t_end = get_time();
// cerr << B << ": " << "time: " << (t_end - t_start) << '\n';
}
// void naive(vector<int> X, vector<tuple<int, int, int> > queries){
// // recompute every B queries
// int N = (int)X.size();
// int Q = (int)queries.size();
// vector<ll> answers(Q);
// vector<ll> day_weight(N);
// for(int idx = 0; idx < Q; idx++){
// auto [type, day, b] = queries[idx];
// if(type == 1){
// for(int i = 0; i < day; i++) day_weight[i] += b;
// } else {
// ll ans = 0;
// for(int i = 0; i < day; i++){
// if(X[i] < b) ans += day_weight[i];
// }
// answers[idx] = ans;
// }
// }
// for(int idx = 0; idx < Q; idx++){
// auto [type, day, b] = queries[idx];
// if(type == 2){
// cout << answers[idx] << '\n';
// }
// }
// }
int main(){
ios_base::sync_with_stdio(false), cin.tie(nullptr);
int N, M, Z;
cin >> N >> M >> Z;
vector<int> X(N);
for(int i = 0; i < N; i++){
cin >> X[i];
X[i] = MAXN - X[i];
}
int Q = M + Z;
vector<tuple<int,int,int> > queries(Q);
for(int q = 0; q < Q; q++){
int a, b, c;
cin >> a >> b >> c;
if(a == 2) c = MAXN - c + 1;
queries[q] = {a, b, c};
}
int WANT_B = sqrt((double)(N) * (double)max(M, Z) / (double)max(1, min(M, Z)));
// cerr << N << ' ' << M << ' ' << Z << ' ' << WANT_B << '\n';
if(WANT_B <= 128){
solve<128>(X, queries, true);
} else if(WANT_B <= 256){
solve<256>(X, queries, true);
} else if(WANT_B <= 512){
solve<512>(X, queries, true);
} else if(WANT_B <= 1024){
solve<1024>(X, queries, true);
} else if(WANT_B <= 2048){
solve<2048>(X, queries, true);
} else if(WANT_B <= 4096){
solve<4096>(X, queries, true);
} else if(WANT_B <= 8192){
solve<8192>(X, queries, true);
} else {
solve<16384>(X, queries, true);
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 | #include <bits/stdc++.h> #include <sys/time.h> using namespace std; using ll = int64_t; double get_time() {timeval tv; gettimeofday(&tv, NULL); return tv.tv_sec + tv.tv_usec * 1e-6;} double start_time = get_time(); double elapsed() {return get_time() - start_time;} template<typename T> struct FT { vector<T> s; FT(int n) : s(n) {} void update(int pos, T dif) { // a[pos] += dif for (; pos < (int)s.size(); pos |= pos + 1) s[pos] += dif; } T query(int pos) { // sum of values in [0, pos) T res = 0; for (; pos > 0; pos &= pos - 1) res += s[pos-1]; return res; } }; const int MAXN = int(1e6); template<int B> void solve(vector<int> X, vector<tuple<int, int, int> > queries, bool pr = true){ auto t_start = get_time(); // recompute every B queries int N = (int)X.size(); int Q = (int)queries.size(); vector<int> X_ord(N); for(int i = 0; i < N; i++){ X_ord[i] = i; } sort(X_ord.begin(), X_ord.end(), [&](int x, int y){ return X[x] < X[y]; }); vector<ll> tot_wgt(N); int prv = 0; vector<ll> answers(Q); vector<int> X_mapped(N); while(true){ int nxt = prv + B; nxt = min(nxt, Q); vector<vector<int> > qwhere(N+1); vector<vector<pair<int,ll> > > qwhere_wgt(N+1); // only query fenwick tree at b vector<int> ord; for(int idx = prv; idx < nxt; idx++){ auto [type, day, b] = queries[idx]; if(type == 2){ ord.push_back(idx); } } sort(ord.begin(), ord.end(), [&](int x, int y){ return get<2>(queries[x]) < get<2>(queries[y]); }); int K = (int)ord.size(); vector<int> amts(K); vector<int> mapped(nxt-prv, -1); for(int i = 0; i < (int)ord.size(); i++){ amts[i] = get<2>(queries[ord[i]]); mapped[ord[i]-prv] = i; } { int i = 0; for(int j = 0; j < K; j++){ while(i < N && X[X_ord[i]] < amts[j]){ X_mapped[X_ord[i]] = j; i++; } } while(i < N){ X_mapped[X_ord[i]] = K; i++; } } vector<int> updates; for(int idx = prv; idx < nxt; idx++){ auto [type, day, b] = queries[idx]; if(type == 1){ updates.push_back(idx); } else if(type == 2){ qwhere[day].push_back(idx); ll at_wgt = 0; for(int u_idx : updates){ auto [u_type, u_day, u_wgt] = queries[u_idx]; if(day <= u_day){ at_wgt += u_wgt; } else { qwhere_wgt[u_day].push_back({idx, u_wgt}); } } if(at_wgt){ qwhere_wgt[day].push_back({idx, at_wgt}); } } } { FT<ll> ft_sum(K+1); for(int day = 0; day <= N; day++){ for(auto idx : qwhere[day]){ answers[idx] += ft_sum.query(mapped[idx-prv] + 1); } if(day < N){ ft_sum.update(X_mapped[day], tot_wgt[day]); } } } { FT<int> ft_cnt(K+1); for(int day = 0; day <= N; day++){ for(auto [idx, u_wgt] : qwhere_wgt[day]){ answers[idx] += ft_cnt.query(mapped[idx-prv] + 1) * u_wgt; } if(day < N){ ft_cnt.update(X_mapped[day], 1); } } } for(int idx = prv; idx < nxt; idx++){ auto [type, day, b] = queries[idx]; if(type == 2){ if(pr) cout << answers[idx] << '\n'; } } vector<ll> add_wgt(N+1); for(int u_idx : updates){ auto [u_type, u_day, u_wgt] = queries[u_idx]; add_wgt[u_day] += u_wgt; } ll cur = 0; for(int i = N; i >= 0; i--){ if(i < N) tot_wgt[i] += cur; cur += add_wgt[i]; } if(nxt == Q) break; prv = nxt; } auto t_end = get_time(); // cerr << B << ": " << "time: " << (t_end - t_start) << '\n'; } // void naive(vector<int> X, vector<tuple<int, int, int> > queries){ // // recompute every B queries // int N = (int)X.size(); // int Q = (int)queries.size(); // vector<ll> answers(Q); // vector<ll> day_weight(N); // for(int idx = 0; idx < Q; idx++){ // auto [type, day, b] = queries[idx]; // if(type == 1){ // for(int i = 0; i < day; i++) day_weight[i] += b; // } else { // ll ans = 0; // for(int i = 0; i < day; i++){ // if(X[i] < b) ans += day_weight[i]; // } // answers[idx] = ans; // } // } // for(int idx = 0; idx < Q; idx++){ // auto [type, day, b] = queries[idx]; // if(type == 2){ // cout << answers[idx] << '\n'; // } // } // } int main(){ ios_base::sync_with_stdio(false), cin.tie(nullptr); int N, M, Z; cin >> N >> M >> Z; vector<int> X(N); for(int i = 0; i < N; i++){ cin >> X[i]; X[i] = MAXN - X[i]; } int Q = M + Z; vector<tuple<int,int,int> > queries(Q); for(int q = 0; q < Q; q++){ int a, b, c; cin >> a >> b >> c; if(a == 2) c = MAXN - c + 1; queries[q] = {a, b, c}; } int WANT_B = sqrt((double)(N) * (double)max(M, Z) / (double)max(1, min(M, Z))); // cerr << N << ' ' << M << ' ' << Z << ' ' << WANT_B << '\n'; if(WANT_B <= 128){ solve<128>(X, queries, true); } else if(WANT_B <= 256){ solve<256>(X, queries, true); } else if(WANT_B <= 512){ solve<512>(X, queries, true); } else if(WANT_B <= 1024){ solve<1024>(X, queries, true); } else if(WANT_B <= 2048){ solve<2048>(X, queries, true); } else if(WANT_B <= 4096){ solve<4096>(X, queries, true); } else if(WANT_B <= 8192){ solve<8192>(X, queries, true); } else { solve<16384>(X, queries, true); } } |
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