2019icpc徐州站 Cat 计蒜客 - 42540 && The Answer to the Ultimate Question of Life, The Universe, and Everything. 计蒜客 - 42545
VJ链接：https://vjudge.net/contest/412095#problem/A
Cat 计蒜客 - 42540
题意：
给你一个区间[L,R]，给你现在拥有的钱S。你需要从[L,R]区间中选取一些连续的数，如果i^(i+1)^(i+2)^...^(j-1)^j<=s（L<=i<=j<=R）,那么你就可以拥有[i,j]这一个子区间。问你你拥有的子区间长度最长是多少
1<=L,R<=1e18
1<=S<=2e18
题解：
你会发现4k^(4k+1)^(4k+2)^(4k+3)==0（k取正整数）
那么对于一个给定的区间[L,R]，如果R-L<=4我们暴力找i，j就可以
否则我们可以把这个区间中间的4个数为一组都变成0，那么最坏情况下数组就是
{4k+1,4k+2,4k+3,(中间都是0不用管),4L,4L+1,4L+2}
那么我们只需要暴力枚举数组{4k+1,4k+2,4k+3,4L,4L+1,4L+2}就可以
代码：
#include <bits/stdc++.h> typedef long long ll; ll max(ll a, ll b) { if (a > b) return a; else return b; } ll que[100]; int main() { ll t; scanf("%lld", &t); while (t--) { ll L, R, s; scanf("%lld%lld%lld", &L, &R, &s); if (R - L + 1 <= 4) { ll res = 0; for (ll i = L; i <= R; ++i) { ll now = i; if (s >= now) res = max(res, 1); for (ll j = i + 1; j <= R; ++j) { now ^= j; if (s >= now) res = max(res, j - i + 1); } } if (res == 0) res = -1; printf("%lld\n", res); } else { ll len = 0, a = 0, b = 0; if ((L % 4) != 0) { a = (L / 4 + 1) * 4; for (ll i = L; i < (L / 4 + 1) * 4; ++i) { que[++len] = i; } } else a = L; if ((R + 1) % 4 != 0) { b = (R / 4) * 4 - 1; for (ll i = (R / 4) * 4; i <= R; ++i) { que[++len] = i; } } else b = R; ll res = 0; for (ll i = 1; i <= len; ++i) { ll now = que[i]; if (s >= now) res = max(res, 1); for (ll j = i + 1; j <= len; ++j) { now ^= que[j]; if (s >= now) { // if (j - i + 1 == 4) // printf("%lld %lld %lld\n", now, i, j); res = max(res, j - i + 1); } } } //printf("%lld %lld\n", b - a + 1, len); if (res + max(0, (b - a + 1)) == 0) res = -1; printf("%lld\n", res + max(0, (b - a + 1))); } } return 0; } /* 3 1283 23421 27681 11243 19862 25325 7061 4227 31283 */
题意：
给你一个x，为你可不可以把x=i*i*i+j*j*j+k*k*k
5000<=i,j,k<=5000
1<=x<=200
题解：
打表过的
代码太长，折叠了
代码：
#include <bits/stdc++.h> using namespace std; typedef long long ll; const int maxn = 2e5 + 5; struct node { int a, b, c; } w[205]; int vis[205]; void init() { vis[1] = 1, w[1].a = -5000; w[1].b = 1; w[1].c = 5000; vis[2] = 1, w[2].a = -4373; w[2].b = -486; w[2].c = 4375; vis[3] = 1, w[3].a = -5; w[3].b = 4; w[3].c = 4; vis[6] = 1, w[6].a = -637; w[6].b = -205; w[6].c = 644; vis[7] = 1, w[7].a = -169; w[7].b = 44; w[7].c = 168; vis[8] = 1, w[8].a = -5000; w[8].b = 2; w[8].c = 5000; vis[9] = 1, w[9].a = -216; w[9].b = -52; w[9].c = 217; vis[10] = 1, w[10].a = -650; w[10].b = -353; w[10].c = 683; vis[11] = 1, w[11].a = -695; w[11].b = -641; w[11].c = 843; vis[12] = 1, w[12].a = -11; w[12].b = 7; w[12].c = 10; vis[15] = 1, w[15].a = -265; w[15].b = -262; w[15].c = 332; vis[16] = 1, w[16].a = -4114; w[16].b = -588; w[16].c = 4118; vis[17] = 1, w[17].a = -3331; w[17].b = 2195; w[17].c = 2977; vis[18] = 1, w[18].a = -1373; w[18].b = -1276; w[18].c = 1671; vis[19] = 1, w[19].a = -95; w[19].b = 47; w[19].c = 91; vis[20] = 1, w[20].a = -2816; w[20].b = -741; w[20].c = 2833; vis[21] = 1, w[21].a = -401; w[21].b = -287; w[21].c = 445; vis[24] = 1, w[24].a = -10; w[24].b = 8; w[24].c = 8; vis[25] = 1, w[25].a = -2683; w[25].b = 1839; w[25].c = 2357; vis[26] = 1, w[26].a = -2107; w[26].b = 237; w[26].c = 2106; vis[27] = 1, w[27].a = -5000; w[27].b = 3; w[27].c = 5000; vis[28] = 1, w[28].a = -2268; w[28].b = -249; w[28].c = 2269; vis[29] = 1, w[29].a = -233; w[29].b = -69; w[29].c = 235; vis[34] = 1, w[34].a = -1555; w[34].b = -244; w[34].c = 1557; vis[35] = 1, w[35].a = -1120; w[35].b = -509; w[35].c = 1154; vis[36] = 1, w[36].a = -3223; w[36].b = 2358; w[36].c = 2731; vis[37] = 1, w[37].a = -444; w[37].b = -84; w[37].c = 445; vis[38] = 1, w[38].a = -27; w[38].b = 16; w[38].c = 25; vis[43] = 1, w[43].a = -823; w[43].b = -307; w[43].c = 837; vis[44] = 1, w[44].a = -7; w[44].b = -5; w[44].c = 8; vis[45] = 1, w[45].a = -2369; w[45].b = 1709; w[45].c = 2025; vis[46] = 1, w[46].a = -758; w[46].b = -473; w[46].c = 815; vis[47] = 1, w[47].a = -141; w[47].b = 49; w[47].c = 139; vis[48] = 1, w[48].a = -3950; w[48].b = -1247; w[48].c = 3991; vis[51] = 1, w[51].a = -796; w[51].b = 602; w[51].c = 659; vis[53] = 1, w[53].a = -2370; w[53].b = 1518; w[53].c = 2141; vis[54] = 1, w[54].a = -3885; w[54].b = -648; w[54].c = 3891; vis[55] = 1, w[55].a = -3329; w[55].b = 1837; w[55].c = 3131; vis[56] = 1, w[56].a = -672; w[56].b = 505; w[56].c = 559; vis[57] = 1, w[57].a = -998; w[57].b = 361; w[57].c = 982; vis[60] = 1, w[60].a = -1201; w[60].b = -163; w[60].c = 1202; vis[61] = 1, w[61].a = -966; w[61].b = 668; w[61].c = 845; vis[62] = 1, w[62].a = -2744; w[62].b = -1561; w[62].c = 2903; vis[63] = 1, w[63].a = -161; w[63].b = 102; w[63].c = 146; vis[64] = 1, w[64].a = -5000; w[64].b = 4; w[64].c = 5000; vis[65] = 1, w[65].a = -929; w[65].b = 403; w[65].c = 903; vis[66] = 1, w[66].a = 1; w[66].b = 1; w[66].c = 4; vis[69] = 1, w[69].a = -403; w[69].b = 134; w[69].c = 398; vis[70] = 1, w[70].a = -2359; w[70].b = 824; w[70].c = 2325; vis[71] = 1, w[71].a = -533; w[71].b = 401; w[71].c = 443; vis[72] = 1, w[72].a = -432; w[72].b = -104; w[72].c = 434; vis[73] = 1, w[73].a = -335; w[73].b = -146; w[73].c = 344; vis[78] = 1, w[78].a = -2080; w[78].b = -829; w[78].c = 2123; vis[79] = 1, w[79].a = -706; w[79].b = -196; w[79].c = 711; vis[80] = 1, w[80].a = -1300; w[80].b = -706; w[80].c = 1366; vis[81] = 1, w[81].a = -2368; w[81].b = -1719; w[81].c = 2638; vis[82] = 1, w[82].a = -1317; w[82].b = 847; w[82].c = 1188; vis[83] = 1, w[83].a = -3707; w[83].b = 1315; w[83].c = 3651; vis[87] = 1, w[87].a = -4126; w[87].b = -1972; w[87].c = 4271; vis[88] = 1, w[88].a = -1390; w[88].b = -1282; w[88].c = 1686; vis[89] = 1, w[89].a = -2514; w[89].b = 1953; w[89].c = 2036; vis[90] = 1, w[90].a = -1803; w[90].b = 365; w[90].c = 1798; vis[91] = 1, w[91].a = -3389; w[91].b = -2912; w[91].c = 3992; vis[92] = 1, w[92].a = -4052; w[92].b = 861; w[92].c = 4039; vis[93] = 1, w[93].a = -248; w[93].b = -98; w[93].c = 253; vis[96] = 1, w[96].a = -22; w[96].b = 14; w[96].c = 20; vis[97] = 1, w[97].a = -3168; w[97].b = -991; w[97].c = 3200; vis[98] = 1, w[98].a = -2101; w[98].b = -1638; w[98].c = 2391; vis[99] = 1, w[99].a = -893; w[99].b = -622; w[99].c = 984; vis[100] = 1, w[100].a = -1797; w[100].b = -903; w[100].c = 1870; vis[101] = 1, w[101].a = -2327; w[101].b = 319; w[101].c = 2325; vis[102] = 1, w[102].a = -239; w[102].b = 118; w[102].c = 229; vis[105] = 1, w[105].a = -7; w[105].b = -4; w[105].c = 8; vis[106] = 1, w[106].a = -2689; w[106].b = -1165; w[106].c = 2760; vis[107] = 1, w[107].a = -1309; w[107].b = 947; w[107].c = 1117; vis[108] = 1, w[108].a = -1165; w[108].b = -948; w[108].c = 1345; vis[109] = 1, w[109].a = -2948; w[109].b = 853; w[109].c = 2924; vis[111] = 1, w[111].a = -4793; w[111].b = -2312; w[111].c = 4966; vis[115] = 1, w[115].a = -12; w[115].b = 8; w[115].c = 11; vis[116] = 1, w[116].a = -1906; w[116].b = -757; w[116].c = 1945; vis[117] = 1, w[117].a = -896; w[117].b = -555; w[117].c = 962; vis[118] = 1, w[118].a = -4328; w[118].b = 383; w[118].c = 4327; vis[119] = 1, w[119].a = -3677; w[119].b = -1673; w[119].c = 3789; vis[120] = 1, w[120].a = -2804; w[120].b = 1219; w[120].c = 2725; vis[123] = 1, w[123].a = -37; w[123].b = -16; w[123].c = 38; vis[124] = 1, w[124].a = -1; w[124].b = 0; w[124].c = 5; vis[125] = 1, w[125].a = -5000; w[125].b = 5; w[125].c = 5000; vis[126] = 1, w[126].a = -2212; w[126].b = -419; w[126].c = 2217; vis[127] = 1, w[127].a = -4034; w[127].b = -3881; w[127].c = 4988; vis[128] = 1, w[128].a = -3989; w[128].b = -726; w[128].c = 3997; vis[129] = 1, w[129].a = -1580; w[129].b = -1238; w[129].c = 1801; vis[132] = 1, w[132].a = -1; w[132].b = 2; w[132].c = 5; vis[133] = 1, w[133].a = -399; w[133].b = 167; w[133].c = 389; vis[134] = 1, w[134].a = -3013; w[134].b = -1766; w[134].c = 3203; vis[135] = 1, w[135].a = -1351; w[135].b = -629; w[135].c = 1395; vis[136] = 1, w[136].a = -1116; w[136].b = 816; w[136].c = 946; vis[137] = 1, w[137].a = -758; w[137].b = -428; w[137].c = 801; vis[138] = 1, w[138].a = -86; w[138].b = -77; w[138].c = 103; vis[141] = 1, w[141].a = -139; w[141].b = 104; w[141].c = 116; vis[142] = 1, w[142].a = -7; w[142].b = -3; w[142].c = 8; vis[144] = 1, w[144].a = -2746; w[144].b = -2552; w[144].c = 3342; vis[145] = 1, w[145].a = -8; w[145].b = -7; w[145].c = 10; vis[146] = 1, w[146].a = -327; w[146].b = -263; w[146].c = 376; vis[147] = 1, w[147].a = -2366; w[147].b = 1528; w[147].c = 2131; vis[150] = 1, w[150].a = -367; w[150].b = 260; w[150].c = 317; vis[151] = 1, w[151].a = -463; w[151].b = 215; w[151].c = 447; vis[152] = 1, w[152].a = -805; w[152].b = 486; w[152].c = 741; vis[153] = 1, w[153].a = -3736; w[153].b = -695; w[153].c = 3744; vis[154] = 1, w[154].a = -2135; w[154].b = -516; w[154].c = 2145; vis[155] = 1, w[155].a = -3693; w[155].b = -1049; w[155].c = 3721; vis[159] = 1, w[159].a = -1534; w[159].b = 383; w[159].c = 1526; vis[160] = 1, w[160].a = -3874; w[160].b = -1654; w[160].c = 3972; vis[161] = 1, w[161].a = -4767; w[161].b = -2476; w[161].c = 4980; vis[162] = 1, w[162].a = -4125; w[162].b = -1417; w[162].c = 4180; vis[163] = 1, w[163].a = -3423; w[163].b = -2943; w[163].c = 4033; vis[164] = 1, w[164].a = -66; w[164].b = -59; w[164].c = 79; vis[168] = 1, w[168].a = -802; w[168].b = -574; w[168].c = 890; vis[169] = 1, w[169].a = -1354; w[169].b = -1012; w[169].c = 1521; vis[170] = 1, w[170].a = -3834; w[170].b = -2149; w[170].c = 4047; vis[171] = 1, w[171].a = -1328; w[171].b = 891; w[171].c = 1178; vis[174] = 1, w[174].a = -335; w[174].b = -170; w[174].c = 349; vis[177] = 1, w[177].a = -1168; w[177].b = -160; w[177].c = 1169; vis[178] = 1, w[178].a = -13; w[178].b = -10; w[178].c = 15; vis[179] = 1, w[179].a = -2839; w[179].b = 1503; w[179].c = 2691; vis[181] = 1, w[181].a = -4874; w[181].b = 974; w[181].c = 4861; vis[182] = 1, w[182].a = -90; w[182].b = -29; w[182].c = 91; vis[183] = 1, w[183].a = -4889; w[183].b = 976; w[183].c = 4876; vis[186] = 1, w[186].a = -4; w[186].b = 5; w[186].c = 5; vis[187] = 1, w[187].a = -1885; w[187].b = -1092; w[187].c = 2000; vis[188] = 1, w[188].a = -1639; w[188].b = 318; w[188].c = 1635; vis[189] = 1, w[189].a = -1702; w[189].b = -1403; w[189].c = 1974; vis[190] = 1, w[190].a = -4812; w[190].b = -593; w[190].c = 4815; vis[191] = 1, w[191].a = -377; w[191].b = -215; w[191].c = 399; vis[192] = 1, w[192].a = -20; w[192].b = 16; w[192].c = 16; vis[196] = 1, w[196].a = -1057; w[196].b = -579; w[196].c = 1112; vis[197] = 1, w[197].a = -2867; w[197].b = -1606; w[197].c = 3026; vis[198] = 1, w[198].a = -3752; w[198].b = -1347; w[198].c = 3809; vis[199] = 1, w[199].a = -2208; w[199].b = 508; w[199].c = 2199; vis[200] = 1, w[200].a = -2318; w[200].b = -638; w[200].c = 2334; } int main() { init(); int t; scanf("%d", &t); while (t--) { int n; scanf("%d", &n); if (n == 0) { puts("0 0 0"); continue; } if (vis[n]) { printf("%d %d %d\n", w[n].a, w[n].b, w[n].c); } else { puts("impossible"); } } return 0; } /* 1 -5000 1 5000 8 -5000 2 5000 27 -5000 3 5000 64 -5000 4 5000 125 -5000 5 5000 183 -4889 976 4876 181 -4874 974 4861 190 -4812 -593 4815 111 -4793 -2312 4966 161 -4767 -2476 4980 2 -4373 -486 4375 118 -4328 383 4327 87 -4126 -1972 4271 162 -4125 -1417 4180 16 -4114 -588 4118 92 -4052 861 4039 127 -4034 -3881 4988 128 -3989 -726 3997 48 -3950 -1247 3991 54 -3885 -648 3891 160 -3874 -1654 3972 170 -3834 -2149 4047 198 -3752 -1347 3809 153 -3736 -695 3744 83 -3707 1315 3651 155 -3693 -1049 3721 119 -3677 -1673 3789 163 -3423 -2943 4033 91 -3389 -2912 3992 17 -3331 2195 2977 55 -3329 1837 3131 36 -3223 2358 2731 97 -3168 -991 3200 134 -3013 -1766 3203 109 -2948 853 2924 197 -2867 -1606 3026 179 -2839 1503 2691 20 -2816 -741 2833 120 -2804 1219 2725 144 -2746 -2552 3342 62 -2744 -1561 2903 106 -2689 -1165 2760 25 -2683 1839 2357 89 -2514 1953 2036 53 -2370 1518 2141 45 -2369 1709 2025 81 -2368 -1719 2638 147 -2366 1528 2131 70 -2359 824 2325 101 -2327 319 2325 200 -2318 -638 2334 28 -2268 -249 2269 126 -2212 -419 2217 199 -2208 508 2199 154 -2135 -516 2145 26 -2107 237 2106 98 -2101 -1638 2391 78 -2080 -829 2123 116 -1906 -757 1945 187 -1885 -1092 2000 90 -1803 365 1798 100 -1797 -903 1870 189 -1702 -1403 1974 188 -1639 318 1635 129 -1580 -1238 1801 34 -1555 -244 1557 159 -1534 383 1526 88 -1390 -1282 1686 18 -1373 -1276 1671 169 -1354 -1012 1521 135 -1351 -629 1395 171 -1328 891 1178 82 -1317 847 1188 107 -1309 947 1117 80 -1300 -706 1366 60 -1201 -163 1202 177 -1168 -160 1169 108 -1165 -948 1345 35 -1120 -509 1154 136 -1116 816 946 196 -1057 -579 1112 57 -998 361 982 61 -966 668 845 65 -929 403 903 117 -896 -555 962 99 -893 -622 984 43 -823 -307 837 152 -805 486 741 168 -802 -574 890 51 -796 602 659 46 -758 -473 815 137 -758 -428 801 79 -706 -196 711 11 -695 -641 843 56 -672 505 559 10 -650 -353 683 6 -637 -205 644 71 -533 401 443 151 -463 215 447 37 -444 -84 445 72 -432 -104 434 69 -403 134 398 21 -401 -287 445 133 -399 167 389 191 -377 -215 399 150 -367 260 317 174 -335 -170 349 73 -335 -146 344 146 -327 -263 376 15 -265 -262 332 93 -248 -98 253 102 -239 118 229 29 -233 -69 235 9 -216 -52 217 7 -169 44 168 63 -161 102 146 47 -141 49 139 141 -139 104 116 19 -95 47 91 182 -90 -29 91 138 -86 -77 103 164 -66 -59 79 123 -37 -16 38 38 -27 16 25 96 -22 14 20 192 -20 16 16 178 -13 -10 15 115 -12 8 11 12 -11 7 10 24 -10 8 8 145 -8 -7 10 44 -7 -5 8 105 -7 -4 8 142 -7 -3 8 186 -4 5 5 124 -1 0 5 132 -1 2 5 3 -5 4 4 66 1 1 4 147 -2366 1528 2131 190 -4812 -593 4815 4 -1 5 -1 13 -1 14 -1 22 -1 23 -1 30 -1 31 -1 32 -1 33 -1 39 -1 40 -1 41 -1 42 -1 49 -1 50 -1 52 -1 58 -1 59 -1 67 -1 68 -1 74 -1 75 -1 76 -1 77 -1 84 -1 85 -1 86 -1 94 -1 95 -1 103 -1 104 -1 110 -1 112 -1 113 -1 114 -1 121 -1 122 -1 130 -1 131 -1 139 -1 140 -1 143 -1 148 -1 149 -1 156 -1 157 -1 158 -1 165 -1 166 -1 167 -1 172 -1 173 -1 175 -1 176 -1 180 -1 184 -1 185 -1 193 -1 194 -1 195 -1 */
