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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#142560 | #6675. DS Team Selection 2 | SanguineChameleon | RE | 3ms | 57360kb | C++20 | 6.2kb | 2023-08-19 12:21:56 | 2023-08-19 12:21:58 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
void just_do_it();
int main() {
#ifdef KAMIRULEZ
freopen("kamirulez.inp", "r", stdin);
freopen("kamirulez.out", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(0);
just_do_it();
return 0;
}
struct query {
int type;
long long V;
int lt, rt;
};
const long long inf = 1e18L + 20;
const int maxN = 2e5 + 20;
long long A[maxN];
query queries[maxN];
int kill_L[maxN];
int kill_R[maxN];
vector<int> check_kill[maxN];
vector<int> to_kill[maxN];
int N, Q;
struct line {
long long a, b, high;
line(): a(0), b(0), high(inf) {};
line(long long _a, long long _b): a(_a), b(_b), high(inf) {};
long long eval(long long x) {
return a * x + b;
}
bool operator<(long long x) {
return high < x;
}
};
long long floor_div(long long x, long long y) {
return (x / y) - ((x % y) && ((x ^ y) < 0));
}
long long inter(line L1, line L2) {
return floor_div(L2.b - L1.b, L1.a - L2.a);
}
ostream& operator<<(ostream &out, line L) {
out << "y = " << L.a << "x + " << L.b;
return out;
}
struct node {
long long sum_alive, sum_dead_pos, sum_dead_val;
int cnt_dead = 0;
bool has_lazy;
line lazy_line;
node(): sum_alive(0), sum_dead_pos(0), sum_dead_val(0), cnt_dead(0), has_lazy(false) {};
};
struct segment_tree {
node tree[maxN * 4];
void merge_nodes(int id) {
tree[id].sum_alive = tree[id * 2].sum_alive + tree[id * 2 + 1].sum_alive;
tree[id].sum_dead_pos = tree[id * 2].sum_dead_pos + tree[id * 2 + 1].sum_dead_pos;
tree[id].sum_dead_val = tree[id * 2].sum_dead_val + tree[id * 2 + 1].sum_dead_val;
tree[id].cnt_dead = tree[id * 2].cnt_dead + tree[id * 2 + 1].cnt_dead;
tree[id].has_lazy = false;
}
void put_lazy(int id, line L) {
tree[id].sum_dead_val = L.a * tree[id].sum_dead_pos + L.b * tree[id].cnt_dead;
tree[id].has_lazy = true;
tree[id].lazy_line = L;
}
void push_node(int id) {
if (tree[id].has_lazy) {
put_lazy(id * 2, tree[id].lazy_line);
put_lazy(id * 2 + 1, tree[id].lazy_line);
tree[id].has_lazy = false;
}
}
void build(int id, int lt, int rt) {
if (lt == rt) {
tree[id].sum_alive = A[lt];
tree[id].sum_dead_pos = 0;
tree[id].sum_dead_val = 0;
tree[id].cnt_dead = 0;
tree[id].has_lazy = false;
return;
}
int mt = (lt + rt) / 2;
build(id * 2, lt, mt);
build(id * 2 + 1, mt + 1, rt);
merge_nodes(id);
}
void update_node(int id, int lt, int rt, int pos) {
if (lt == rt) {
if (!tree[id].has_lazy) {
exit(0);
}
tree[id].sum_alive = 0;
tree[id].sum_dead_pos = pos;
tree[id].sum_dead_val = tree[id].lazy_line.eval(pos);
tree[id].cnt_dead = 1;
return;
}
push_node(id);
int mt = (lt + rt) / 2;
if (pos <= mt) {
update_node(id * 2, lt, mt, pos);
}
else {
update_node(id * 2 + 1, mt + 1, rt, pos);
}
merge_nodes(id);
}
void update_range(int id, int lt, int rt, long long ql, long long qr, line L) {
ql = max(ql, 1LL);
qr = min(qr, (long long)N);
if (ql > qr) {
return;
}
if (lt == ql && rt == qr) {
put_lazy(id, L);
return;
}
push_node(id);
int mt = (lt + rt) / 2;
if (qr <= mt) {
update_range(id * 2, lt, mt, ql, qr, L);
}
else if (ql >= mt + 1) {
update_range(id * 2 + 1, mt + 1, rt, ql, qr, L);
}
else {
update_range(id * 2, lt, mt, ql, mt, L);
update_range(id * 2 + 1, mt + 1, rt, mt + 1, qr, L);
}
merge_nodes(id);
}
long long get_sum(int id, int lt, int rt, int ql, int qr) {
if (lt == ql && rt == qr) {
return tree[id].sum_alive + tree[id].sum_dead_val;
}
push_node(id);
int mt = (lt + rt) / 2;
if (qr <= mt) {
return get_sum(id * 2, lt, mt, ql, qr);
}
else if (ql >= mt + 1) {
return get_sum(id * 2 + 1, mt + 1, rt, ql, qr);
}
else {
return get_sum(id * 2, lt, mt, ql, mt) + get_sum(id * 2 + 1, mt + 1, rt, mt + 1, qr);
}
}
} ST;
struct CHT {
vector<line> lines;
void add_line(line L, bool update_ST) {
while ((int)lines.size() >= 2 && inter(lines.back(), L) <= inter(lines.end()[-2], lines.back())) {
lines.pop_back();
}
if (!lines.empty()) {
lines.back().high = inter(lines.back(), L);
if (update_ST) {
ST.update_range(1, 1, N, lines.back().high + 1, inf, L);
}
}
else {
if (update_ST) {
ST.update_range(1, 1, N, -inf, inf, L);
}
}
lines.push_back(L);
}
long long get_val(long long x) {
long long res = lower_bound(lines.begin(), lines.end(), x)->eval(x);
return res;
}
};
void fake_run() {
CHT C;
int offset = 0;
for (int i = 1; i <= Q; i++) {
if (queries[i].type == 1) {
C.add_line(line(-offset, queries[i].V), false);
}
if (queries[i].type == 2) {
offset++;
}
for (auto pos: check_kill[i]) {
if (A[pos] <= C.get_val(pos)) {
kill_L[pos] = i + 1;
}
else {
kill_R[pos] = i - 1;
}
}
}
}
void real_run() {
CHT C;
ST.build(1, 1, N);
int offset = 0;
for (int i = 1; i <= Q; i++) {
if (queries[i].type == 1) {
C.add_line(line(-offset, queries[i].V), true);
}
if (queries[i].type == 2) {
offset++;
}
if (queries[i].type == 3) {
long long res = ST.get_sum(1, 1, N, queries[i].lt, queries[i].rt);
res += 1LL * offset * (queries[i].lt + queries[i].rt) * (queries[i].rt - queries[i].lt + 1) / 2;
cout << res << '\n';
}
for (auto pos: to_kill[i]) {
ST.update_node(1, 1, N, pos);
}
}
}
void just_do_it() {
cin >> N >> Q;
for (int i = 1; i <= N; i++) {
cin >> A[i];
}
for (int i = 1; i <= Q; i++) {
cin >> queries[i].type;
if (queries[i].type == 1) {
cin >> queries[i].V;
}
if (queries[i].type == 3) {
cin >> queries[i].lt >> queries[i].rt;
}
}
for (int i = 1; i <= N; i++) {
kill_L[i] = 1;
kill_R[i] = Q;
}
while (true) {
bool done = true;
for (int i = 1; i <= Q; i++) {
check_kill[i].clear();
}
for (int i = 1; i <= N; i++) {
if (kill_L[i] <= kill_R[i]) {
check_kill[(kill_L[i] + kill_R[i]) / 2].push_back(i);
done = false;
}
}
if (done) {
break;
}
fake_run();
}
for (int i = 1; i <= N; i++) {
to_kill[kill_R[i] + 1].push_back(i);
}
real_run();
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 57360kb
input:
13 11 6 14 14 6 3 6 4 13 10 3 12 5 11 1 2 2 2 2 1 11 3 4 6 2 1 6 2 1 9 3 2 13
output:
33 107
result:
ok 2 number(s): "33 107"
Test #2:
score: -100
Runtime Error
input:
5000 5000 29940 259997 53132 912489 608312 594283 432259 344137 889466 383028 320097 337418 571199 372832 563110 542407 133378 998389 238387 120880 477310 634888 191990 133585 935315 558139 141724 893331 190118 991968 843042 384930 935256 891482 123419 91431 955722 376987 197566 106433 234494 645967...