QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#252588 | #4590. Happy Travelling | lam | AC ✓ | 63ms | 57776kb | C++14 | 2.5kb | 2023-11-15 22:04:10 | 2023-11-15 22:04:10 |
Judging History
answer
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int maxn = 1e6 + 5;
int dp[maxn],dp2[maxn];
int f[4*maxn];
int a[maxn],t[maxn];
int n,k,d;
priority_queue<pair<int,int>,vector<pair<int,int>>,less<pair<int,int>> > pq[maxn];
void update(int x, int lx, int rx, int l, int r, int val)
{
if (lx>r||rx<l) return;
if (lx>=l&&rx<=r)
{
f[x]=max(f[x],val);
return;
}
int mid=(lx+rx)/2;
update(2*x,lx,mid,l,r,val);
update(2*x+1,mid+1,rx,l,r,val);
}
int get(int x, int lx, int rx, int idx)
{
if (lx==rx) return f[x];
int mid=(lx+rx)/2;
if (idx<=mid) return max(f[x],get(2*x,lx,mid,idx));
else return max(f[x],get(2*x+1,mid+1,rx,idx));
}
signed main()
{
ios_base::sync_with_stdio(NULL);
cin.tie(nullptr); cout.tie(nullptr);
cin >> n >> k >> d;
for (int i = 1; i <= n; i++) cin >> a[i];
for (int j = 1; j < n; j++) cin >> t[j];
fill_n(dp,n+1,-1e18);
fill_n(dp2,n+1,-1e18);
fill_n(f,4*n+1,-1e18);
// dp[1] = a[1];
// int mmax = -1;
// for (int i = 1; i < n; i++)
// {
// mmax = max(mmax, i + t[i]);
//// int lo = (mmax - i) / k * k;
//// for (int j = i + 1; j < i + lo; j++) dp[j] = max(dp[j], a[j] - (j-i)/k*d + dp[i]);
//// for (int j = i + lo; j <= mmax; j++) dp[j] = max(dp[j], a[j] - lo/k*d + dp[i]);
// for (int j = i + 1; j <= mmax; j++)
// dp[j] = max(dp[j], a[j] - (j-i)/k*d + dp[i]);
// }
// cout << dp[n] << '\n';
update(1,1,n,1,1,0);
int mmax = -1;
for (int i = 1; i <= n; i++)
{
while (!pq[i%k].empty() && i >= pq[i%k].top().second) pq[i%k].pop();
if (!pq[i%k].empty()) dp[i] = max(dp[i], -(i-1)/k*d + pq[i%k].top().first);
int val2 = dp[i];
update(1,1,n,i,i+k-1,val2);
dp[i] = max(dp[i], get(1,1,n,i));
dp[i] += a[i];
int val = dp[i];
// cout << dp[i] << " \n";
if (i == n) continue;
mmax = i+t[i];
int lo = (mmax - i) / k * k;
update(1,1,n,i+lo,mmax,dp[i] - d * (lo / k));
// for (int j = 0; j < lo; j += k) update(1,1,n,i+j,i+j+k-1,dp[i] - d * (j / k));
// cout << i << " : " << i + k - 1 << " & " << lo << '\n';
if (lo > 0) update(1,1,n,i+1,i+k-1,val);
pq[i%k].push({dp[i]+(i-1)/k*d,i+lo});
}
cout << dp[n] << '\n';
}
/**
15 4 3
-8225 -8961 -5537 -5621 -8143 -5214 -5538 -6912 -6601 -8839 -7872 -7867 -9553 -9793 -7333
4 5 7 4 2 5 1 2 4 5 2 1 2 4
-29940
-29928
**/
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 44928kb
input:
6 2 1 8 -7 -8 9 0 2 5 3 3 2 1
output:
18
result:
ok single line: '18'
Test #2:
score: 0
Accepted
time: 4ms
memory: 43860kb
input:
8 8 8 10 -5 -5 -5 -5 -5 -5 10 5 2 5 3 2 1 1
output:
15
result:
ok single line: '15'
Test #3:
score: 0
Accepted
time: 0ms
memory: 44096kb
input:
13 2 2 -5 -4 -4 -1 7 -6 -5 -4 -3 -2 -1 5 -7 3 10 9 8 7 6 5 4 3 2 1 1
output:
-9
result:
ok single line: '-9'
Test #4:
score: 0
Accepted
time: 3ms
memory: 43376kb
input:
2 1 0 -10000 10000 1
output:
0
result:
ok single line: '0'
Test #5:
score: 0
Accepted
time: 50ms
memory: 47260kb
input:
98987 4 3 -8225 -8961 -5537 -5621 -8143 -5214 -5538 -6912 -6601 -8839 -7872 -7867 -9553 -9793 -7333 -7360 -5820 -7459 -8824 -9716 -9757 -5846 -5300 -5912 -7953 -8360 -7609 -5937 -5525 -9748 -7326 -8311 -9979 -9292 -8542 -7589 -7939 -5914 -7985 -9999 -9212 -8274 -8084 -6620 -5991 -7826 -6327 -5228 -6...
output:
-84108
result:
ok single line: '-84108'
Test #6:
score: 0
Accepted
time: 50ms
memory: 51816kb
input:
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output:
-150169
result:
ok single line: '-150169'
Test #7:
score: 0
Accepted
time: 53ms
memory: 47272kb
input:
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output:
-45780
result:
ok single line: '-45780'
Test #8:
score: 0
Accepted
time: 46ms
memory: 53044kb
input:
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output:
-72336
result:
ok single line: '-72336'
Test #9:
score: 0
Accepted
time: 47ms
memory: 49640kb
input:
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output:
-52581
result:
ok single line: '-52581'
Test #10:
score: 0
Accepted
time: 29ms
memory: 54684kb
input:
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output:
-13774
result:
ok single line: '-13774'
Test #11:
score: 0
Accepted
time: 31ms
memory: 56240kb
input:
100000 99999 476 -109 -1014 -1404 -1837 -712 -1500 -1760 -751 184 -333 -860 -418 -1676 -1499 -1506 -456 -1692 -1473 -1872 -1523 -599 461 -583 -1685 -94 121 53 -385 192 -562 -1169 220 366 -746 -584 -1395 325 -502 98 -1773 -293 -72 -1894 -449 416 -1001 -1350 -1842 -1279 -528 323 -1196 32 -83 -1112 410...
output:
4735350
result:
ok single line: '4735350'
Test #12:
score: 0
Accepted
time: 53ms
memory: 53044kb
input:
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output:
1532
result:
ok single line: '1532'
Test #13:
score: 0
Accepted
time: 60ms
memory: 50256kb
input:
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output:
3749
result:
ok single line: '3749'
Test #14:
score: 0
Accepted
time: 39ms
memory: 47880kb
input:
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output:
9254
result:
ok single line: '9254'
Test #15:
score: 0
Accepted
time: 0ms
memory: 44688kb
input:
7 7 10000 7 3 -1 -6 3 4 1 6 5 4 3 2 1
output:
18
result:
ok single line: '18'
Test #16:
score: 0
Accepted
time: 55ms
memory: 46284kb
input:
93094 1415 354 -362 -297 12 34 -37 -924 265 -34 -835 -884 -245 -323 -856 -1166 -386 -642 288 -92 -275 -446 -121 -1345 -126 -13 -1378 -442 -24 -479 171 256 -582 -223 -65 -1114 -614 -197 -862 -552 -908 -718 -489 -585 -1148 -356 322 276 -252 -1295 104 86 332 -918 -1407 -1393 -336 -413 -1186 -1348 -435 ...
output:
3296610
result:
ok single line: '3296610'
Test #17:
score: 0
Accepted
time: 49ms
memory: 55424kb
input:
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output:
4722004
result:
ok single line: '4722004'
Test #18:
score: 0
Accepted
time: 53ms
memory: 49132kb
input:
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output:
5535209
result:
ok single line: '5535209'
Test #19:
score: 0
Accepted
time: 43ms
memory: 54772kb
input:
90834 53418 728 -9217 -6814 2547 -12 -6989 -1516 7814 159 -7793 -5319 6381 -904 3222 3010 -8266 -3940 1083 1871 -7986 4337 5752 3998 -6748 9530 2165 798 7563 -8385 -6673 2314 -6850 -6010 -4575 -319 -3432 -6025 500 -8768 -9599 9413 6230 -6120 6854 8981 1721 9406 -3615 5754 -3131 -601 -9062 -7899 5998...
output:
228261947
result:
ok single line: '228261947'
Test #20:
score: 0
Accepted
time: 60ms
memory: 54000kb
input:
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output:
5623
result:
ok single line: '5623'
Test #21:
score: 0
Accepted
time: 63ms
memory: 57776kb
input:
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output:
1522
result:
ok single line: '1522'
Test #22:
score: 0
Accepted
time: 37ms
memory: 55340kb
input:
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output:
560
result:
ok single line: '560'
Test #23:
score: 0
Accepted
time: 63ms
memory: 49820kb
input:
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output:
5541089
result:
ok single line: '5541089'
Test #24:
score: 0
Accepted
time: 46ms
memory: 52988kb
input:
97084 1193 347 -221 -923 -428 -1360 -1087 167 -586 -1304 -154 -523 289 -454 -1315 -787 -621 -36 -1074 -1200 -974 -1024 -824 -445 -980 -844 -78 -1030 -1342 -336 -452 -1341 67 -835 225 -1080 -268 -147 -983 -748 -508 -96 223 -984 -873 -1030 -325 -1162 -1083 -82 -1272 -695 323 -1277 292 268 -1082 -1140 ...
output:
3343916
result:
ok single line: '3343916'
Test #25:
score: 0
Accepted
time: 56ms
memory: 52204kb
input:
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output:
3958603
result:
ok single line: '3958603'
Test #26:
score: 0
Accepted
time: 32ms
memory: 50692kb
input:
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output:
-1999990000
result:
ok single line: '-1999990000'
Test #27:
score: 0
Accepted
time: 46ms
memory: 48812kb
input:
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output:
236737272
result:
ok single line: '236737272'
Test #28:
score: 0
Accepted
time: 46ms
memory: 55928kb
input:
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output:
231452858
result:
ok single line: '231452858'
Test #29:
score: 0
Accepted
time: 56ms
memory: 49660kb
input:
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output:
4411516
result:
ok single line: '4411516'
Test #30:
score: 0
Accepted
time: 43ms
memory: 47348kb
input:
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output:
731521
result:
ok single line: '731521'
Test #31:
score: 0
Accepted
time: 52ms
memory: 50604kb
input:
100000 137 197 -603 -342 -166 -58 -145 -371 -8 -491 -254 -292 -522 -549 -325 -695 -520 -308 -547 -112 -278 -206 -77 -483 -232 -9 -727 -365 -692 -59 -638 -410 -4 -346 -451 -663 -225 -202 -655 -776 -736 -30 -676 -22 -761 -388 -114 -156 -531 -648 -404 -508 -215 -623 -280 -765 -527 -298 -412 -475 -433 -...
output:
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result:
ok single line: '3483'
Test #32:
score: 0
Accepted
time: 46ms
memory: 46372kb
input:
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output:
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result:
ok single line: '-2866'
Test #33:
score: 0
Accepted
time: 57ms
memory: 47856kb
input:
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output:
5946941
result:
ok single line: '5946941'
Test #34:
score: 0
Accepted
time: 53ms
memory: 47760kb
input:
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output:
5817931
result:
ok single line: '5817931'
Test #35:
score: 0
Accepted
time: 52ms
memory: 50748kb
input:
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output:
4079625
result:
ok single line: '4079625'
Test #36:
score: 0
Accepted
time: 47ms
memory: 54656kb
input:
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output:
3803
result:
ok single line: '3803'
Test #37:
score: 0
Accepted
time: 45ms
memory: 53028kb
input:
100000 2 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 100...
output:
1000000000
result:
ok single line: '1000000000'
Test #38:
score: 0
Accepted
time: 32ms
memory: 52704kb
input:
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output:
8128
result:
ok single line: '8128'
Test #39:
score: 0
Accepted
time: 52ms
memory: 50480kb
input:
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output:
-11626
result:
ok single line: '-11626'
Test #40:
score: 0
Accepted
time: 49ms
memory: 49956kb
input:
98451 6 9537 -1643 -9398 -4117 -3974 -3238 -9649 -6244 -9964 -773 -3724 -6715 -6459 -7301 -2046 -6160 -311 -5860 -7005 -2536 -9763 -8607 -2112 -6593 -5486 -646 -1638 -3919 -934 -6160 -5549 -5613 -8157 -5539 -1239 -7794 -3257 -6951 -5716 -7289 -6662 -6608 -9272 -4614 48 -4247 -7700 -1768 -7432 -1213 ...
output:
-49652554
result:
ok single line: '-49652554'
Test #41:
score: 0
Accepted
time: 42ms
memory: 53192kb
input:
97637 1 5004 8174 8415 6138 4030 4654 5961 618 4050 451 2609 3756 2220 497 3683 6708 8355 9174 575 724 1207 6654 6601 9850 5609 5698 3330 3749 9463 2071 5352 5363 5514 8374 5399 3634 4131 3050 4587 8197 292 3357 9824 5964 8213 268 2543 8530 9349 5957 6252 4476 9392 1185 8080 4121 6049 8830 8200 4567...
output:
-2301811
result:
ok single line: '-2301811'
Test #42:
score: 0
Accepted
time: 54ms
memory: 47552kb
input:
98473 4 3 -6719 -7078 -7398 -5015 -7801 -5157 -7545 -7138 -8925 -7799 -5790 -9002 -8266 -8910 -8886 -8596 -9386 -8316 -9749 -6022 -9377 -5224 -5896 -5093 -5583 -8813 -6565 -6566 -8566 -9669 -9797 -5545 -6394 -9272 -8662 -5310 -7476 -9208 -7608 -7816 -5213 -6361 -9537 -5138 -6085 -7176 -8669 -5409 -8...
output:
-88721
result:
ok single line: '-88721'
Test #43:
score: 0
Accepted
time: 52ms
memory: 47664kb
input:
99522 3 4 -5545 -6299 -6271 -6711 -6621 -7315 -8092 -5209 -9685 -7075 -5874 -5059 -5233 -6260 -9650 -6267 -7022 -7351 -6960 -7872 -7320 -7577 -8772 -8735 -9558 -5073 -6969 -7098 -7543 -8798 -5128 -7903 -5474 -9796 -8570 -9433 -9267 -6942 -7436 -6657 -9707 -9722 -5243 -5331 -7386 -9384 -8372 -9922 -9...
output:
-138005
result:
ok single line: '-138005'