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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 |
---|---|---|---|---|---|---|---|---|---|
#137070 | #1140. Distributing Candies | bashkort# | 0 | 1ms | 3812kb | C++20 | 7.4kb | 2023-08-09 19:05:18 | 2024-07-04 01:28:01 |
Judging History
answer
#include "candies.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr ll infLL = 3e18;
struct Info {
pair<ll, int> mx{-infLL, 0}, mn{infLL, 0};
ll mxans = -infLL, mnans = infLL;
Info() = default;
Info(int i, ll x) : mx(x, i), mn(x, i) {}
};
Info operator+(const Info &l, const Info &r) {
Info res{};
res.mx = max(l.mx, r.mx);
res.mn = min(l.mn, r.mn);
res.mxans = max({l.mxans, r.mxans, r.mx.first - l.mn.first});
res.mnans = min({l.mnans, r.mnans, r.mn.first - l.mx.first});
return res;
}
namespace SegmentTree {
vector<Info> t;
vector<ll> tag;
int sz = 1;
void apply(int x, ll tg) {
tag[x] += tg;
t[x].mx.first += tg, t[x].mn.first += tg;
}
void push(int x) {
if (tag[x]) {
apply(x << 1, tag[x]);
apply(x << 1 | 1, tag[x]);
tag[x] = 0;
}
}
void pull(int x) {
t[x] = t[x << 1] + t[x << 1 | 1];
}
void init(int n) {
sz = 1 << __lg(n) + !!(n & (n - 1));
t.resize(sz << 1), tag.assign(sz << 1, 0);
for (int i = 0; i < n; ++i) {
t[i + sz] = Info(i, 0);
}
for (int i = sz - 1; i > 0; --i) {
pull(i);
}
}
void rangeAdd(int l, int r, int tg, int x = 1, int lx = 0, int rx = sz) {
if (l >= rx || lx >= r) {
return;
}
if (l <= lx && rx <= r) {
return apply(x, tg);
}
int mid = lx + rx >> 1;
push(x);
rangeAdd(l, r, tg, x << 1, lx, mid);
rangeAdd(l, r, tg, x << 1 | 1, mid, rx);
pull(x);
}
ll query(int i, int x = 1, int lx = 0, int rx = sz) {
while (lx + 1 < rx) {
push(x);
int mid = lx + rx >> 1;
if (i < mid) {
rx = mid;
x = x << 1;
} else {
lx = mid;
x = x << 1 | 1;
}
}
return t[x].mx.first;
}
pair<ll, int> findMin(int l, int r, int x = 1, int lx = 0, int rx = sz) {
if (l >= rx || lx >= r) {
return {infLL, -1};
}
if (l <= lx && rx <= r) {
return t[x].mn;
}
int mid = lx + rx >> 1;
push(x);
return min(findMin(l, r, x << 1, lx, mid), findMin(l, r, x << 1 | 1, mid, rx));
}
pair<ll, int> findMax(int l, int r, int x = 1, int lx = 0, int rx = sz) {
if (l >= rx || lx >= r) {
return {-infLL, -1};
}
if (l <= lx && rx <= r) {
return t[x].mx;
}
int mid = lx + rx >> 1;
push(x);
return max(findMax(l, r, x << 1, lx, mid), findMax(l, r, x << 1 | 1, mid, rx));
}
pair<ll, int> queryMax(ll aim, int x, int lx, int rx) {
assert(t[x].mx.first >= aim);
if (lx + 1 == rx) {
return t[x].mx;
}
int mid = lx + rx >> 1;
push(x);
if (t[x << 1 | 1].mx.first >= aim) {
return queryMax(aim, x << 1 | 1, mid, rx);
} else {
return queryMax(aim, x << 1, lx, mid);
}
}
pair<ll, int> queryMin(ll aim, int x, int lx, int rx) {
assert(t[x].mn.first <= aim);
if (lx + 1 == rx) {
return t[x].mn;
}
int mid = lx + rx >> 1;
push(x);
if (t[x << 1 | 1].mn.first <= aim) {
return queryMin(aim, x << 1 | 1, mid, rx);
} else {
return queryMin(aim, x << 1, lx, mid);
}
}
pair<int, int> findSegmentBiggerThanC(int C, int x = 1, int lx = 0, int rx = sz) {
pair<int, int> s{-1, -1};
while (lx + 1 < rx && t[x].mxans >= C) {
int mid = lx + rx >> 1;
push(x);
if (t[x << 1 | 1].mx.first - t[x << 1].mn.first >= C) {
int R = queryMax(C + t[x << 1].mn.first, x << 1 | 1, mid, rx).second;
s = max(s, {R, t[x << 1].mn.second});
}
if (t[x << 1 | 1].mxans >= C) {
x = x << 1 | 1;
lx = mid;
} else {
x = x << 1;
rx = mid;
}
}
return s;
}
pair<int, int> findSegmentSmallerThanC(int C, int x = 1, int lx = 0, int rx = sz) {
assert(C <= 0);
pair<int, int> s{-1, -1};
while (lx + 1 < rx && t[x].mnans <= C) {
int mid = lx + rx >> 1;
push(x);
if (t[x << 1 | 1].mn.first - t[x << 1].mx.first <= C) {
int R = queryMin(C + t[x << 1].mx.first, x << 1 | 1, mid, rx).second;
s = max(s, {R, t[x << 1].mx.second});
}
if (t[x << 1 | 1].mnans <= C) {
x = x << 1 | 1;
lx = mid;
} else {
x = x << 1;
rx = mid;
}
}
return s;
}
};
void massert(bool f) {
while (!f) {
cout << "why" << endl;
}
}
std::vector<int> distribute_candies(std::vector<int> c, std::vector<int> L,
std::vector<int> R, std::vector<int> V) {
int n = c.size(), q = size(L);
std::vector<int> answers(n);
vector<vector<int>> updates(n + 1);
for (int i = 0; i < q; ++i) {
updates[L[i]].push_back(i);
updates[R[i] + 1].push_back(~i);
}
SegmentTree::init(q + 1);
ll sumAll = 0;
for (int i = 0; i < n; ++i) {
for (int j : updates[i]) {
if (j >= 0) {
sumAll += V[j];
SegmentTree::rangeAdd(j + 1, q + 1, V[j]);
} else {
j = ~j;
sumAll -= V[j];
SegmentTree::rangeAdd(j + 1, q + 1, -V[j]);
}
}
int rbig = q + 1, lbig = -1;
for (rbig -= 1; rbig >= 0; --rbig) {
auto [x, y] = SegmentTree::findMin(0, rbig + 1);
ll xx = SegmentTree::query(rbig);
if (xx - x >= c[i]) {
lbig = y;
break;
}
}
int rsmall = q + 1, lsmall = -1;
for (rsmall -= 1; rsmall >= 0; --rsmall) {
auto [x, y] = SegmentTree::findMax(0, rsmall + 1);
ll xx = SegmentTree::query(rsmall);
if (xx - x <= -c[i]) {
lsmall = y;
break;
}
}
// auto [rbig, lbig] = SegmentTree::findSegmentBiggerThanC(c[i]);
// auto [rsmall, lsmall] = SegmentTree::findSegmentSmallerThanC(-c[i]);
if (rsmall != -1) {
assert(SegmentTree::query(rsmall) - SegmentTree::query(lsmall) <= -c[i]);
rsmall = SegmentTree::findMin(lsmall, rsmall + 1).second;
}
if (rbig != -1) {
assert(SegmentTree::query(rbig) - SegmentTree::query(lbig) >= c[i]);
rbig = SegmentTree::findMax(lbig, rbig + 1).second;
}
rsmall = max(rsmall, SegmentTree::findMin(0, q + 1).second);
if (rsmall <= rbig) {
ll got = c[i] + sumAll - SegmentTree::query(rbig);
massert(got >= 0 && got <= c[i]);
answers[i] = got;
} else {
ll got = sumAll - SegmentTree::query(rsmall);
massert(got >= 0 && got <= c[i]);
answers[i] = got;
}
}
return answers;
}
详细
Subtask #1:
score: 0
Time Limit Exceeded
Test #1:
score: 3
Accepted
time: 1ms
memory: 3780kb
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 8 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 8 0 7 1 0 7 1 0 7 300000000 0 7 994967293 0 7 1 0 7 1000000000 0 7 1000000000 0 7 1000000000
output:
4lpv73iykswp9e3nppi3jw2qggm5dfz29yy9nzpq OK 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 10 283 43634 101056 10340 6009 5133 30 2 3677888 210 10 1 8 26416 2 7 -51219 2 4 17793 3 7 75426 3 7 22307 1 1 60258 3 7 -29824 0 8 24839 2 8 -60304 0 1 -26411
output:
4lpv73iykswp9e3nppi3jw2qggm5dfz29yy9nzpq OK 0 17223 0 0 0 0 0 0 0 0
result:
ok 3 lines
Test #3:
score: -3
Time Limit Exceeded
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 10 5895610 429664 3124 17993 758457 101345 5102817 1127952 59 81146 2000 6 7 44356 5 7 77812 1 4 -41353 1 7 -81697 2 5 -26607 4 9 84461 4 7 -44947 1 6 42622 3 5 -99951 0 1 -77687 2 6 52280 5 9 5073 1 9 67601 6 8 -6669 0 6 42368 4 6 22221 1 3 48306 3 6 -23492 ...
output:
Unauthorized output
result:
Subtask #2:
score: 0
Time Limit Exceeded
Test #6:
score: 0
Time Limit Exceeded
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 200000 11408901 370732653 37843 28 53693 15782410 103 297546 1112427 170319071 26 1 6172 11614171 431 884673599 1 3 50085 154 57 28200 145886 898969 74758 72 845768 6 69787 11 31012465 55362 253 2363145 47186217 1103 19622 594 7867 1 4299 28130 48 4689582 12 ...
output:
Unauthorized output
result:
Subtask #3:
score: 0
Time Limit Exceeded
Test #9:
score: 27
Accepted
time: 1ms
memory: 3812kb
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000...
output:
4lpv73iykswp9e3nppi3jw2qggm5dfz29yy9nzpq OK 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...
result:
ok 3 lines
Test #10:
score: -27
Time Limit Exceeded
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 2000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1...
output:
Unauthorized output
result:
Subtask #4:
score: 0
Time Limit Exceeded
Test #16:
score: 0
Time Limit Exceeded
input:
lrts0z0ktpqc670i0etyqgyb45dt1dysq5ap2mzg 10 11 440 51 41 11 1 3 108 148 14 10 0 9 60 0 9 -9 0 9 -30 0 9 41 0 9 82 0 9 69 0 9 -79 0 9 -39 0 9 72 0 9 41
output:
Unauthorized output
result:
Subtask #5:
score: 0
Skipped
Dependency #1:
0%